2tan (problem 3.3.2)

Time bar (total: 12.2s)

analyze47.0ms (0.4%)

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

Compiled 28 to 18 computations (35.7% saved)

sample4.6s (37.3%)

Results
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Bogosity

preprocess139.0ms (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
2282(2.276879591056471e-265 9.136510506384087e-268)4(5.0979556688793186e-101 6.185549199539826e-103)(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
20-1(-53.84262649682674 9.771770905220325)(tan.f64 (+.f64 x eps))
00-0-x
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
60.5%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 9 to 6 computations (33.3% saved)

localize31.0ms (0.3%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
99.9%
(tan.f64 (+.f64 x eps))
60.6%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 21 to 8 computations (61.9% saved)

series19.0ms (0.2%)

Counts
2 → 48
Calls

12 calls:

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

rewrite249.0ms (2%)

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))

simplify151.0ms (1.2%)

Algorithm
egg-herbie
Rules
1120×distribute-lft-in
858×times-frac
726×unswap-sqr
710×fma-neg
682×cancel-sign-sub-inv
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
033210215
18779577
230299383
Stop Event
node limit
Counts
165 → 187
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)))
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(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))
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 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (*.f64 (*.f64 (pow.f64 x 2) (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 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (*.f64 (pow.f64 x 2) (*.f64 (sin.f64 eps) (/.f64 (+.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)) (fma.f64 (pow.f64 x 2) (*.f64 (sin.f64 eps) (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (cos.f64 eps))) (*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))
(+.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 1/6 (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)))))) (+.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (*.f64 (*.f64 (pow.f64 x 2) (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 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (*.f64 (pow.f64 x 2) (*.f64 (sin.f64 eps) (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (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 (+.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 (fma.f64 (pow.f64 x 2) (*.f64 (sin.f64 eps) (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (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 (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 1/2 (*.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 (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 (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 -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 (*.f64 (pow.f64 (sin.f64 x) 2) (-.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 (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 (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 (+.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 (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)
(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))
(sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2))
(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))

eval85.0ms (0.7%)

Compiler

Compiled 5607 to 2607 computations (53.5% saved)

prune36.0ms (0.3%)

Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New17611187
Fresh000
Picked011
Done000
Total17612188
Accuracy
100.0%
Counts
188 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
60.6%
(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)))
24.4%
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3)
60.5%
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
98.2%
(/.f64 (sin.f64 eps) (cos.f64 eps))
60.6%
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
60.5%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
60.5%
(+.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))))
98.8%
(+.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (*.f64 (*.f64 (pow.f64 x 2) (sin.f64 eps)) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (cos.f64 eps)))
60.5%
(+.f64 (+.f64 (tan.f64 (+.f64 eps x)) (*.f64 (/.f64 -1 (cos.f64 x)) (sin.f64 x))) (fma.f64 (/.f64 -1 (cos.f64 x)) (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 1 (cos.f64 x)))))
99.1%
(+.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)))
98.9%
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
59.7%
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
Compiler

Compiled 499 to 326 computations (34.7% saved)

localize470.0ms (3.8%)

Localize:

Found 16 expressions with local error:

NewAccuracyProgram
100.0%
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))
100.0%
(+.f64 (tan.f64 x) (tan.f64 eps))
100.0%
(/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
60.6%
(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)))
100.0%
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
100.0%
(pow.f64 (cos.f64 x) 2)
100.0%
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
100.0%
(pow.f64 (sin.f64 x) 2)
99.9%
(tan.f64 (+.f64 x eps))
99.0%
(cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
98.8%
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
60.6%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
100.0%
(/.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))
100.0%
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
100.0%
(pow.f64 (sin.f64 x) 2)
99.9%
(*.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))))))
Compiler

Compiled 319 to 161 computations (49.5% saved)

series123.0ms (1%)

Counts
14 → 168
Calls

72 calls:

TimeVariablePointExpression
12.0ms
eps
@inf
(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)))
8.0ms
x
@0
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
7.0ms
eps
@0
(*.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))))))
6.0ms
eps
@-inf
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
5.0ms
eps
@0
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)

rewrite147.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
300×log1p-expm1-u
300×expm1-log1p-u
291×add-cube-cbrt
290×add-exp-log
288×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
040493
1695389
Stop Event
node limit
Counts
14 → 381
Calls
Call 1
Inputs
(*.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))))))
(pow.f64 (sin.f64 x) 2)
(*.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))
(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)))
(pow.f64 (sin.f64 x) 2)
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(pow.f64 (cos.f64 x) 2)
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(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)))
(/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(+.f64 (tan.f64 x) (tan.f64 eps))
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 eps (*.f64 (sqrt.f64 (sin.f64 x)) (hypot.f64 1 (tan.f64 x)))) 2))) 1)
(pow.f64 (pow.f64 (*.f64 eps (*.f64 (sqrt.f64 (sin.f64 x)) (hypot.f64 1 (tan.f64 x)))) 2) 1)
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 eps (*.f64 (sqrt.f64 (sin.f64 x)) (hypot.f64 1 (tan.f64 x)))) 2)) 3)
(pow.f64 (pow.f64 (pow.f64 (*.f64 eps (*.f64 (sqrt.f64 (sin.f64 x)) (hypot.f64 1 (tan.f64 x)))) 2) 3) 1/3)
(pow.f64 (*.f64 eps (*.f64 (sqrt.f64 (sin.f64 x)) (hypot.f64 1 (tan.f64 x)))) 2)
(sqrt.f64 (pow.f64 (pow.f64 (*.f64 eps (*.f64 (sqrt.f64 (sin.f64 x)) (hypot.f64 1 (tan.f64 x)))) 2) 2))
(log.f64 (exp.f64 (pow.f64 (*.f64 eps (*.f64 (sqrt.f64 (sin.f64 x)) (hypot.f64 1 (tan.f64 x)))) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 eps (*.f64 (sqrt.f64 (sin.f64 x)) (hypot.f64 1 (tan.f64 x)))) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 eps (*.f64 (sqrt.f64 (sin.f64 x)) (hypot.f64 1 (tan.f64 x)))) 2) 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 eps 2) 3) (pow.f64 (*.f64 (sin.f64 x) (+.f64 1 (pow.f64 (tan.f64 x) 2))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 1 (pow.f64 (tan.f64 x) 2))) 3) (pow.f64 (pow.f64 eps 2) 3)))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 eps (*.f64 (sqrt.f64 (sin.f64 x)) (hypot.f64 1 (tan.f64 x)))) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 eps (*.f64 (sqrt.f64 (sin.f64 x)) (hypot.f64 1 (tan.f64 x)))) 2)))
(exp.f64 (+.f64 (log.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (log1p.f64 (pow.f64 (tan.f64 x) 2))))
(exp.f64 (*.f64 (+.f64 (log.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (log1p.f64 (pow.f64 (tan.f64 x) 2))) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 x) 2))) 1)
(-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))
(*.f64 (sin.f64 x) (sin.f64 x))
(*.f64 1 (pow.f64 (sin.f64 x) 2))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(/.f64 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 (+.f64 x x))) 2)
(sqrt.f64 (pow.f64 (sin.f64 x) 4))
(log.f64 (exp.f64 (pow.f64 (sin.f64 x) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 x) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 x) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 x) 2)))
(exp.f64 (*.f64 2 (log.f64 (sin.f64 x))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 x))) 1))
(+.f64 eps (*.f64 eps (pow.f64 (tan.f64 x) 2)))
(+.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) eps))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (+.f64 1 (pow.f64 (tan.f64 x) 2))))) 1)
(/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 (pow.f64 (tan.f64 x) 2) eps) 3)) (+.f64 (pow.f64 eps 2) (-.f64 (*.f64 (*.f64 (pow.f64 (tan.f64 x) 2) eps) (*.f64 (pow.f64 (tan.f64 x) 2) eps)) (*.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) eps)))))
(/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) 3)) (+.f64 (pow.f64 eps 2) (-.f64 (*.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) (*.f64 eps (pow.f64 (tan.f64 x) 2))) (*.f64 eps (*.f64 eps (pow.f64 (tan.f64 x) 2))))))
(/.f64 (-.f64 (pow.f64 eps 2) (*.f64 (*.f64 (pow.f64 (tan.f64 x) 2) eps) (*.f64 (pow.f64 (tan.f64 x) 2) eps))) (-.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) eps)))
(/.f64 (-.f64 (pow.f64 eps 2) (*.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) (*.f64 eps (pow.f64 (tan.f64 x) 2)))) (-.f64 eps (*.f64 eps (pow.f64 (tan.f64 x) 2))))
(pow.f64 (*.f64 eps (+.f64 1 (pow.f64 (tan.f64 x) 2))) 1)
(pow.f64 (cbrt.f64 (*.f64 eps (+.f64 1 (pow.f64 (tan.f64 x) 2)))) 3)
(pow.f64 (pow.f64 (*.f64 eps (+.f64 1 (pow.f64 (tan.f64 x) 2))) 3) 1/3)
(pow.f64 (*.f64 (hypot.f64 1 (tan.f64 x)) (sqrt.f64 eps)) 2)
(sqrt.f64 (pow.f64 (*.f64 eps (+.f64 1 (pow.f64 (tan.f64 x) 2))) 2))
(log.f64 (pow.f64 (exp.f64 eps) (+.f64 1 (pow.f64 (tan.f64 x) 2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (+.f64 1 (pow.f64 (tan.f64 x) 2))))))
(cbrt.f64 (pow.f64 (*.f64 eps (+.f64 1 (pow.f64 (tan.f64 x) 2))) 3))
(cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 3) (pow.f64 eps 3)))
(expm1.f64 (log1p.f64 (*.f64 eps (+.f64 1 (pow.f64 (tan.f64 x) 2)))))
(log1p.f64 (expm1.f64 (*.f64 eps (+.f64 1 (pow.f64 (tan.f64 x) 2)))))
(exp.f64 (+.f64 (log.f64 eps) (log1p.f64 (pow.f64 (tan.f64 x) 2))))
(exp.f64 (*.f64 (+.f64 (log.f64 eps) (log1p.f64 (pow.f64 (tan.f64 x) 2))) 1))
(fma.f64 eps 1 (*.f64 eps (pow.f64 (tan.f64 x) 2)))
(fma.f64 1 eps (*.f64 (pow.f64 (tan.f64 x) 2) eps))
(fma.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 eps) (*.f64 (pow.f64 (tan.f64 x) 2) eps))
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (*.f64 (pow.f64 (tan.f64 x) 2) eps))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 eps 2) (*.f64 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 1) (tan.f64 x))))) 1)
(*.f64 (pow.f64 eps 2) (*.f64 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 1) (tan.f64 x)))
(*.f64 1 (*.f64 (pow.f64 eps 2) (*.f64 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 1) (tan.f64 x))))
(*.f64 (pow.f64 (*.f64 eps (*.f64 (sqrt.f64 (sin.f64 x)) (hypot.f64 1 (tan.f64 x)))) 2) (/.f64 1 (cos.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 eps 2) (*.f64 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 1) (tan.f64 x)))) 2) (cbrt.f64 (*.f64 (pow.f64 eps 2) (*.f64 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 1) (tan.f64 x)))))
(*.f64 (*.f64 eps (sqrt.f64 (*.f64 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 1) (tan.f64 x)))) (*.f64 eps (sqrt.f64 (*.f64 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 1) (tan.f64 x)))))
(*.f64 (neg.f64 (pow.f64 (*.f64 eps (*.f64 (sqrt.f64 (sin.f64 x)) (hypot.f64 1 (tan.f64 x)))) 2)) (/.f64 1 (neg.f64 (cos.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (/.f64 (pow.f64 (*.f64 eps (*.f64 (sqrt.f64 (sin.f64 x)) (hypot.f64 1 (tan.f64 x)))) 2) (cbrt.f64 (cos.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (cos.f64 x))) (/.f64 (pow.f64 (*.f64 eps (*.f64 (sqrt.f64 (sin.f64 x)) (hypot.f64 1 (tan.f64 x)))) 2) (sqrt.f64 (cos.f64 x))))
(*.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 1 (pow.f64 (tan.f64 x) 2))) (sqrt.f64 (cos.f64 x))) (/.f64 (pow.f64 eps 2) (sqrt.f64 (cos.f64 x))))
(*.f64 (/.f64 (pow.f64 eps 2) 1) (*.f64 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 1) (tan.f64 x)))
(*.f64 (/.f64 (pow.f64 eps 2) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (/.f64 (*.f64 (sin.f64 x) (+.f64 1 (pow.f64 (tan.f64 x) 2))) (cbrt.f64 (cos.f64 x))))
(*.f64 (/.f64 (pow.f64 eps 2) (sqrt.f64 (cos.f64 x))) (/.f64 (*.f64 (sin.f64 x) (+.f64 1 (pow.f64 (tan.f64 x) 2))) (sqrt.f64 (cos.f64 x))))
(*.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 1 (pow.f64 (tan.f64 x) 2))) 1) (/.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 1 (pow.f64 (tan.f64 x) 2))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (/.f64 (pow.f64 eps 2) (cbrt.f64 (cos.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 eps (*.f64 (sqrt.f64 (sin.f64 x)) (hypot.f64 1 (tan.f64 x)))) 2)) 2) 1) (/.f64 (cbrt.f64 (pow.f64 (*.f64 eps (*.f64 (sqrt.f64 (sin.f64 x)) (hypot.f64 1 (tan.f64 x)))) 2)) (cos.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 eps (*.f64 (sqrt.f64 (sin.f64 x)) (hypot.f64 1 (tan.f64 x)))) 2)) 2) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (*.f64 (pow.f64 eps 2) (*.f64 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 1) (tan.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 eps (*.f64 (sqrt.f64 (sin.f64 x)) (hypot.f64 1 (tan.f64 x)))) 2)) 2) (sqrt.f64 (cos.f64 x))) (/.f64 (cbrt.f64 (pow.f64 (*.f64 eps (*.f64 (sqrt.f64 (sin.f64 x)) (hypot.f64 1 (tan.f64 x)))) 2)) (sqrt.f64 (cos.f64 x))))
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(fma.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (cbrt.f64 (tan.f64 eps)) (tan.f64 x))
(fma.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 2)) (cbrt.f64 (tan.f64 x)) (tan.f64 eps))
(fma.f64 (sqrt.f64 (tan.f64 eps)) (sqrt.f64 (tan.f64 eps)) (tan.f64 x))
(fma.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 x)) (tan.f64 eps))
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))
(+.f64 1 (*.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x)))
(+.f64 1 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) 2)) (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(+.f64 1 (*.f64 (neg.f64 (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))) (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 1)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2) (cbrt.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (sqrt.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (sqrt.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3)) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) (*.f64 (tan.f64 x) (tan.f64 eps))))))
(*.f64 (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 1 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))))
(/.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 1)
(/.f64 (neg.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) -1)
(/.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3)) (+.f64 1 (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3))) (neg.f64 (+.f64 1 (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) (*.f64 (tan.f64 x) (tan.f64 eps))))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (neg.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3)) (+.f64 1 (-.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) (*.f64 (tan.f64 x) (tan.f64 eps)))))
(pow.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 2))
(log.f64 (exp.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(cbrt.f64 (pow.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(log1p.f64 (expm1.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(exp.f64 (log1p.f64 (*.f64 (tan.f64 x) (tan.f64 eps))))
(exp.f64 (*.f64 (log1p.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) 1))

simplify412.0ms (3.4%)

Algorithm
egg-herbie
Rules
1154×fma-define
622×times-frac
534×sqr-pow
476×distribute-rgt-in
474×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0106935881
1301334098
Stop Event
node limit
Counts
549 → 594
Calls
Call 1
Inputs
(*.f64 (pow.f64 eps 2) x)
(+.f64 (*.f64 5/6 (*.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 (pow.f64 eps 2) x))
(+.f64 (*.f64 61/120 (*.f64 (pow.f64 eps 2) (pow.f64 x 5))) (+.f64 (*.f64 5/6 (*.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 (pow.f64 eps 2) x)))
(+.f64 (*.f64 277/1008 (*.f64 (pow.f64 eps 2) (pow.f64 x 7))) (+.f64 (*.f64 61/120 (*.f64 (pow.f64 eps 2) (pow.f64 x 5))) (+.f64 (*.f64 5/6 (*.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 (pow.f64 eps 2) x))))
(pow.f64 x 2)
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2)))
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 -1/315 (pow.f64 x 8)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2))))
eps
(+.f64 eps (*.f64 eps (pow.f64 x 2)))
(+.f64 eps (+.f64 (*.f64 2/3 (*.f64 eps (pow.f64 x 4))) (*.f64 eps (pow.f64 x 2))))
(+.f64 eps (+.f64 (*.f64 17/45 (*.f64 eps (pow.f64 x 6))) (+.f64 (*.f64 2/3 (*.f64 eps (pow.f64 x 4))) (*.f64 eps (pow.f64 x 2)))))
(*.f64 (pow.f64 eps 2) x)
(+.f64 (*.f64 (pow.f64 eps 2) x) (*.f64 (pow.f64 x 3) (-.f64 (*.f64 5/6 (pow.f64 eps 2)) (*.f64 -1/2 (pow.f64 eps 2)))))
(+.f64 (*.f64 (pow.f64 eps 2) x) (+.f64 (*.f64 (pow.f64 x 3) (-.f64 (*.f64 5/6 (pow.f64 eps 2)) (*.f64 -1/2 (pow.f64 eps 2)))) (*.f64 (pow.f64 x 5) (-.f64 (*.f64 61/120 (pow.f64 eps 2)) (+.f64 (*.f64 -1/2 (-.f64 (*.f64 5/6 (pow.f64 eps 2)) (*.f64 -1/2 (pow.f64 eps 2)))) (*.f64 1/24 (pow.f64 eps 2)))))))
(+.f64 (*.f64 (pow.f64 eps 2) x) (+.f64 (*.f64 (pow.f64 x 3) (-.f64 (*.f64 5/6 (pow.f64 eps 2)) (*.f64 -1/2 (pow.f64 eps 2)))) (+.f64 (*.f64 (pow.f64 x 5) (-.f64 (*.f64 61/120 (pow.f64 eps 2)) (+.f64 (*.f64 -1/2 (-.f64 (*.f64 5/6 (pow.f64 eps 2)) (*.f64 -1/2 (pow.f64 eps 2)))) (*.f64 1/24 (pow.f64 eps 2))))) (*.f64 (pow.f64 x 7) (-.f64 (*.f64 277/1008 (pow.f64 eps 2)) (+.f64 (*.f64 -1/2 (-.f64 (*.f64 61/120 (pow.f64 eps 2)) (+.f64 (*.f64 -1/2 (-.f64 (*.f64 5/6 (pow.f64 eps 2)) (*.f64 -1/2 (pow.f64 eps 2)))) (*.f64 1/24 (pow.f64 eps 2))))) (+.f64 (*.f64 -1/720 (pow.f64 eps 2)) (*.f64 1/24 (-.f64 (*.f64 5/6 (pow.f64 eps 2)) (*.f64 -1/2 (pow.f64 eps 2)))))))))))
(*.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 x (+.f64 (*.f64 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 22)) (pow.f64 (cos.f64 eps) 22)) 1/9)) (*.f64 2/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 22)) (pow.f64 (cos.f64 eps) 22)) 1/9)))) (*.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (*.f64 x (+.f64 (*.f64 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 22)) (pow.f64 (cos.f64 eps) 22)) 1/9)) (*.f64 2/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 22)) (pow.f64 (cos.f64 eps) 22)) 1/9)))) (+.f64 (*.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 -1 (/.f64 (*.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 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 35)) (pow.f64 (cos.f64 eps) 35)) 1/9))))) (+.f64 (*.f64 2/9 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 35)) (pow.f64 (cos.f64 eps) 35)) 1/9)) (*.f64 (pow.f64 (/.f64 (*.f64 1 (sin.f64 eps)) (cos.f64 eps)) 1/3) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (cos.f64 eps)) (sin.f64 eps)) 1/3) (+.f64 (*.f64 -1 (/.f64 (*.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 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 35)) (pow.f64 (cos.f64 eps) 35)) 1/9))))) (*.f64 1/9 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 32)) (pow.f64 (cos.f64 eps) 32)) 1/9)))))))))
(+.f64 (*.f64 x (+.f64 (*.f64 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 22)) (pow.f64 (cos.f64 eps) 22)) 1/9)) (*.f64 2/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 22)) (pow.f64 (cos.f64 eps) 22)) 1/9)))) (+.f64 (*.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 -1 (/.f64 (*.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 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 35)) (pow.f64 (cos.f64 eps) 35)) 1/9))))) (+.f64 (*.f64 2/9 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 35)) (pow.f64 (cos.f64 eps) 35)) 1/9)) (*.f64 (pow.f64 (/.f64 (*.f64 1 (sin.f64 eps)) (cos.f64 eps)) 1/3) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (cos.f64 eps)) (sin.f64 eps)) 1/3) (+.f64 (*.f64 -1 (/.f64 (*.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 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 35)) (pow.f64 (cos.f64 eps) 35)) 1/9))))) (*.f64 1/9 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 32)) (pow.f64 (cos.f64 eps) 32)) 1/9))))))) (*.f64 (pow.f64 x 3) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.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 -2/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 13)) (pow.f64 (cos.f64 eps) 13)) 1/9) (+.f64 (*.f64 -1 (/.f64 (*.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 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 35)) (pow.f64 (cos.f64 eps) 35)) 1/9))))) (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 (*.f64 1/27 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 16)) (pow.f64 (cos.f64 eps) 16)) 1/3)) (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))))))) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 13)) (pow.f64 (cos.f64 eps) 13)) 1/9) (+.f64 (*.f64 -1 (/.f64 (*.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 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 35)) (pow.f64 (cos.f64 eps) 35)) 1/9))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 16)) (pow.f64 (cos.f64 eps) 16)) 1/9) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (cos.f64 eps)) (sin.f64 eps)) 1/3) (+.f64 (*.f64 -1 (/.f64 (*.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 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 35)) (pow.f64 (cos.f64 eps) 35)) 1/9))))) (*.f64 1/9 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 32)) (pow.f64 (cos.f64 eps) 32)) 1/9))))) (*.f64 (pow.f64 (/.f64 (*.f64 1 (sin.f64 eps)) (cos.f64 eps)) 1/3) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (cos.f64 eps)) (sin.f64 eps)) 1/3) (+.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 -2/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 13)) (pow.f64 (cos.f64 eps) 13)) 1/9) (+.f64 (*.f64 -1 (/.f64 (*.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 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 35)) (pow.f64 (cos.f64 eps) 35)) 1/9))))) (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 (*.f64 1/27 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 16)) (pow.f64 (cos.f64 eps) 16)) 1/3)) (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))))))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 10)) (pow.f64 (cos.f64 eps) 10)) 1/9) (+.f64 (*.f64 -1 (/.f64 (*.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 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 35)) (pow.f64 (cos.f64 eps) 35)) 1/9))))))))))))))
(*.f64 (pow.f64 1 1/3) (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(*.f64 (pow.f64 1 1/3) (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(*.f64 (pow.f64 1 1/3) (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(*.f64 (pow.f64 1 1/3) (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(*.f64 (pow.f64 1 1/3) (-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x))))
(*.f64 (pow.f64 1 1/3) (-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x))))
(*.f64 (pow.f64 1 1/3) (-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x))))
(*.f64 (pow.f64 1 1/3) (-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x))))
(*.f64 (pow.f64 1 1/3) (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(*.f64 (pow.f64 1 1/3) (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(*.f64 (pow.f64 1 1/3) (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(*.f64 (pow.f64 1 1/3) (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(*.f64 (pow.f64 1 1/3) (-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))))
(*.f64 (pow.f64 1 1/3) (-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))))
(*.f64 (pow.f64 1 1/3) (-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))))
(*.f64 (pow.f64 1 1/3) (-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))))
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3)
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 16)) (pow.f64 (cos.f64 eps) 16)) 1/9) x)) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (cos.f64 eps) 2)) (pow.f64 (sin.f64 eps) 2)) 1/3) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 (/.f64 (*.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 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 35)) (pow.f64 (cos.f64 eps) 35)) 1/9)))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 16)) (pow.f64 (cos.f64 eps) 16)) 1/9) x)) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3)))
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(pow.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 1/3)
(pow.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 1/3)
(pow.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 1/3)
(pow.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 1/3)
(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))) 1/3)
(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))) 1/3)
(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))) 1/3)
(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))) 1/3)
(pow.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 1/3)
(pow.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 1/3)
(pow.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 1/3)
(pow.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 1/3)
(pow.f64 (-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) 1/3)
(pow.f64 (-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) 1/3)
(pow.f64 (-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) 1/3)
(pow.f64 (-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) 1/3)
(pow.f64 x 2)
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2)))
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 -1/315 (pow.f64 x 8)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2))))
eps
(+.f64 eps (*.f64 eps (pow.f64 x 2)))
(+.f64 eps (+.f64 (*.f64 2/3 (*.f64 eps (pow.f64 x 4))) (*.f64 eps (pow.f64 x 2))))
(+.f64 eps (+.f64 (*.f64 17/45 (*.f64 eps (pow.f64 x 6))) (+.f64 (*.f64 2/3 (*.f64 eps (pow.f64 x 4))) (*.f64 eps (pow.f64 x 2)))))
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)))))
(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 (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 -1 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))))
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(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
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(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 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 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
1
(+.f64 1 (/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps)))
(+.f64 1 (+.f64 (/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps)) (/.f64 (*.f64 (pow.f64 x 2) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (pow.f64 x 3) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1/3 (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (+.f64 (/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps)) (/.f64 (*.f64 (pow.f64 x 2) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)))))
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))
1
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(/.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 1)
(/.f64 (neg.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) -1)
(/.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3)) (+.f64 1 (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3))) (neg.f64 (+.f64 1 (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) (*.f64 (tan.f64 x) (tan.f64 eps))))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (neg.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3)) (+.f64 1 (-.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) (*.f64 (tan.f64 x) (tan.f64 eps)))))
(pow.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 2))
(log.f64 (exp.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(cbrt.f64 (pow.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(log1p.f64 (expm1.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(exp.f64 (log1p.f64 (*.f64 (tan.f64 x) (tan.f64 eps))))
(exp.f64 (*.f64 (log1p.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) 1))
Outputs
(*.f64 (pow.f64 eps 2) x)
(+.f64 (*.f64 5/6 (*.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 (pow.f64 eps 2) x))
(fma.f64 5/6 (*.f64 (pow.f64 eps 2) (pow.f64 x 3)) (*.f64 (pow.f64 eps 2) x))
(fma.f64 (pow.f64 eps 2) x (*.f64 5/6 (*.f64 (pow.f64 eps 2) (pow.f64 x 3))))
(+.f64 (*.f64 61/120 (*.f64 (pow.f64 eps 2) (pow.f64 x 5))) (+.f64 (*.f64 5/6 (*.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 (pow.f64 eps 2) x)))
(fma.f64 61/120 (*.f64 (pow.f64 eps 2) (pow.f64 x 5)) (fma.f64 5/6 (*.f64 (pow.f64 eps 2) (pow.f64 x 3)) (*.f64 (pow.f64 eps 2) x)))
(fma.f64 61/120 (*.f64 (pow.f64 eps 2) (pow.f64 x 5)) (fma.f64 (pow.f64 eps 2) x (*.f64 5/6 (*.f64 (pow.f64 eps 2) (pow.f64 x 3)))))
(+.f64 (*.f64 277/1008 (*.f64 (pow.f64 eps 2) (pow.f64 x 7))) (+.f64 (*.f64 61/120 (*.f64 (pow.f64 eps 2) (pow.f64 x 5))) (+.f64 (*.f64 5/6 (*.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 (pow.f64 eps 2) x))))
(fma.f64 277/1008 (*.f64 (pow.f64 eps 2) (pow.f64 x 7)) (fma.f64 61/120 (*.f64 (pow.f64 eps 2) (pow.f64 x 5)) (fma.f64 5/6 (*.f64 (pow.f64 eps 2) (pow.f64 x 3)) (*.f64 (pow.f64 eps 2) x))))
(fma.f64 277/1008 (*.f64 (pow.f64 eps 2) (pow.f64 x 7)) (fma.f64 61/120 (*.f64 (pow.f64 eps 2) (pow.f64 x 5)) (fma.f64 (pow.f64 eps 2) x (*.f64 5/6 (*.f64 (pow.f64 eps 2) (pow.f64 x 3))))))
(pow.f64 x 2)
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (pow.f64 x 2))
(fma.f64 -1/3 (pow.f64 x 4) (pow.f64 x 2))
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2)))
(fma.f64 -1/3 (pow.f64 x 4) (fma.f64 2/45 (pow.f64 x 6) (pow.f64 x 2)))
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 -1/315 (pow.f64 x 8)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2))))
(fma.f64 -1/3 (pow.f64 x 4) (fma.f64 -1/315 (pow.f64 x 8) (fma.f64 2/45 (pow.f64 x 6) (pow.f64 x 2))))
eps
(+.f64 eps (*.f64 eps (pow.f64 x 2)))
(fma.f64 eps (pow.f64 x 2) eps)
(+.f64 eps (+.f64 (*.f64 2/3 (*.f64 eps (pow.f64 x 4))) (*.f64 eps (pow.f64 x 2))))
(+.f64 eps (fma.f64 2/3 (*.f64 eps (pow.f64 x 4)) (*.f64 eps (pow.f64 x 2))))
(+.f64 eps (+.f64 (*.f64 17/45 (*.f64 eps (pow.f64 x 6))) (+.f64 (*.f64 2/3 (*.f64 eps (pow.f64 x 4))) (*.f64 eps (pow.f64 x 2)))))
(+.f64 eps (fma.f64 17/45 (*.f64 eps (pow.f64 x 6)) (fma.f64 2/3 (*.f64 eps (pow.f64 x 4)) (*.f64 eps (pow.f64 x 2)))))
(*.f64 (pow.f64 eps 2) x)
(+.f64 (*.f64 (pow.f64 eps 2) x) (*.f64 (pow.f64 x 3) (-.f64 (*.f64 5/6 (pow.f64 eps 2)) (*.f64 -1/2 (pow.f64 eps 2)))))
(fma.f64 (pow.f64 eps 2) x (*.f64 (pow.f64 x 3) (*.f64 (pow.f64 eps 2) 4/3)))
(+.f64 (*.f64 (pow.f64 eps 2) x) (+.f64 (*.f64 (pow.f64 x 3) (-.f64 (*.f64 5/6 (pow.f64 eps 2)) (*.f64 -1/2 (pow.f64 eps 2)))) (*.f64 (pow.f64 x 5) (-.f64 (*.f64 61/120 (pow.f64 eps 2)) (+.f64 (*.f64 -1/2 (-.f64 (*.f64 5/6 (pow.f64 eps 2)) (*.f64 -1/2 (pow.f64 eps 2)))) (*.f64 1/24 (pow.f64 eps 2)))))))
(fma.f64 (pow.f64 eps 2) x (fma.f64 (pow.f64 x 3) (*.f64 (pow.f64 eps 2) 4/3) (*.f64 (pow.f64 x 5) (-.f64 (*.f64 (pow.f64 eps 2) 61/120) (fma.f64 -1/2 (*.f64 (pow.f64 eps 2) 4/3) (*.f64 (pow.f64 eps 2) 1/24))))))
(fma.f64 (pow.f64 eps 2) x (fma.f64 (pow.f64 x 5) (-.f64 (*.f64 (pow.f64 eps 2) 61/120) (fma.f64 -1/2 (*.f64 (pow.f64 eps 2) 4/3) (*.f64 (pow.f64 eps 2) 1/24))) (*.f64 (pow.f64 x 3) (*.f64 (pow.f64 eps 2) 4/3))))
(+.f64 (*.f64 (pow.f64 eps 2) x) (+.f64 (*.f64 (pow.f64 x 3) (-.f64 (*.f64 5/6 (pow.f64 eps 2)) (*.f64 -1/2 (pow.f64 eps 2)))) (+.f64 (*.f64 (pow.f64 x 5) (-.f64 (*.f64 61/120 (pow.f64 eps 2)) (+.f64 (*.f64 -1/2 (-.f64 (*.f64 5/6 (pow.f64 eps 2)) (*.f64 -1/2 (pow.f64 eps 2)))) (*.f64 1/24 (pow.f64 eps 2))))) (*.f64 (pow.f64 x 7) (-.f64 (*.f64 277/1008 (pow.f64 eps 2)) (+.f64 (*.f64 -1/2 (-.f64 (*.f64 61/120 (pow.f64 eps 2)) (+.f64 (*.f64 -1/2 (-.f64 (*.f64 5/6 (pow.f64 eps 2)) (*.f64 -1/2 (pow.f64 eps 2)))) (*.f64 1/24 (pow.f64 eps 2))))) (+.f64 (*.f64 -1/720 (pow.f64 eps 2)) (*.f64 1/24 (-.f64 (*.f64 5/6 (pow.f64 eps 2)) (*.f64 -1/2 (pow.f64 eps 2)))))))))))
(fma.f64 (pow.f64 eps 2) x (fma.f64 (pow.f64 x 3) (*.f64 (pow.f64 eps 2) 4/3) (fma.f64 (pow.f64 x 5) (-.f64 (*.f64 (pow.f64 eps 2) 61/120) (fma.f64 -1/2 (*.f64 (pow.f64 eps 2) 4/3) (*.f64 (pow.f64 eps 2) 1/24))) (*.f64 (pow.f64 x 7) (-.f64 (*.f64 (pow.f64 eps 2) 277/1008) (fma.f64 -1/2 (-.f64 (*.f64 (pow.f64 eps 2) 61/120) (fma.f64 -1/2 (*.f64 (pow.f64 eps 2) 4/3) (*.f64 (pow.f64 eps 2) 1/24))) (fma.f64 -1/720 (pow.f64 eps 2) (*.f64 (*.f64 (pow.f64 eps 2) 4/3) 1/24))))))))
(fma.f64 (pow.f64 eps 2) x (fma.f64 (pow.f64 x 3) (*.f64 (pow.f64 eps 2) 4/3) (fma.f64 (pow.f64 x 7) (-.f64 (*.f64 (pow.f64 eps 2) 277/1008) (fma.f64 -1/2 (-.f64 (*.f64 (pow.f64 eps 2) 61/120) (fma.f64 -1/2 (*.f64 (pow.f64 eps 2) 4/3) (*.f64 (pow.f64 eps 2) 1/24))) (fma.f64 (*.f64 (pow.f64 eps 2) 4/3) 1/24 (*.f64 (pow.f64 eps 2) -1/720)))) (*.f64 (pow.f64 x 5) (-.f64 (*.f64 (pow.f64 eps 2) 61/120) (fma.f64 -1/2 (*.f64 (pow.f64 eps 2) 4/3) (*.f64 (pow.f64 eps 2) 1/24)))))))
(*.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (*.f64 x (+.f64 (*.f64 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 22)) (pow.f64 (cos.f64 eps) 22)) 1/9)) (*.f64 2/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 22)) (pow.f64 (cos.f64 eps) 22)) 1/9)))) (*.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(fma.f64 x (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 22) (pow.f64 (cos.f64 eps) 22)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 22) (pow.f64 (cos.f64 eps) 22)) 1/18)) 1) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(fma.f64 x (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 22) (pow.f64 (cos.f64 eps) 22)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 22) (pow.f64 (cos.f64 eps) 22)) 1/18)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 x (+.f64 (*.f64 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 22)) (pow.f64 (cos.f64 eps) 22)) 1/9)) (*.f64 2/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 22)) (pow.f64 (cos.f64 eps) 22)) 1/9)))) (+.f64 (*.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 -1 (/.f64 (*.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 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 35)) (pow.f64 (cos.f64 eps) 35)) 1/9))))) (+.f64 (*.f64 2/9 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 35)) (pow.f64 (cos.f64 eps) 35)) 1/9)) (*.f64 (pow.f64 (/.f64 (*.f64 1 (sin.f64 eps)) (cos.f64 eps)) 1/3) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (cos.f64 eps)) (sin.f64 eps)) 1/3) (+.f64 (*.f64 -1 (/.f64 (*.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 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 35)) (pow.f64 (cos.f64 eps) 35)) 1/9))))) (*.f64 1/9 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 32)) (pow.f64 (cos.f64 eps) 32)) 1/9)))))))))
(+.f64 (fma.f64 x (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 22) (pow.f64 (cos.f64 eps) 22)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 22) (pow.f64 (cos.f64 eps) 22)) 1/18)) 1) (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/3 (fma.f64 -1 (*.f64 (sin.f64 eps) (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (cos.f64 eps))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18))))) (fma.f64 2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18)) (*.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (fma.f64 -2/3 (*.f64 (fma.f64 -1 (*.f64 (sin.f64 eps) (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (cos.f64 eps))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18)))) (cbrt.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 32) (pow.f64 (cos.f64 eps) 32)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 32) (pow.f64 (cos.f64 eps) 32)) 1/18)))))))))
(fma.f64 x (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 22) (pow.f64 (cos.f64 eps) 22)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 22) (pow.f64 (cos.f64 eps) 22)) 1/18)) (fma.f64 (pow.f64 x 2) (fma.f64 -1/3 (fma.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18)) (*.f64 (sin.f64 eps) (neg.f64 (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (cos.f64 eps))))) (fma.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (fma.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 32) (pow.f64 (cos.f64 eps) 32)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 32) (pow.f64 (cos.f64 eps) 32)) 1/18)) (*.f64 (*.f64 -2/3 (cbrt.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)))) (fma.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18)) (*.f64 (sin.f64 eps) (neg.f64 (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (cos.f64 eps))))))) (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18)) 2/9))) (/.f64 (sin.f64 eps) (cos.f64 eps))))
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(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (cos.f64 eps) 2)) (pow.f64 (sin.f64 eps) 2)) 1/3) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 (/.f64 (*.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 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 35)) (pow.f64 (cos.f64 eps) 35)) 1/9)))))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (cos.f64 eps) 2)) (pow.f64 (sin.f64 eps) 2)) 1/3) (*.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 -2/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 13)) (pow.f64 (cos.f64 eps) 13)) 1/9) (+.f64 (*.f64 -1 (/.f64 (*.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 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 35)) (pow.f64 (cos.f64 eps) 35)) 1/9))))) (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 (*.f64 1/27 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 16)) (pow.f64 (cos.f64 eps) 16)) 1/3)) (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 16)) (pow.f64 (cos.f64 eps) 16)) 1/9) x)) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3))))
(fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2))) (*.f64 (pow.f64 x 2) (fma.f64 -1 (*.f64 (sin.f64 eps) (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (cos.f64 eps))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18)))))) (fma.f64 -1/3 (*.f64 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2))) (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 -2/3 (*.f64 (fma.f64 -1 (*.f64 (sin.f64 eps) (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (cos.f64 eps))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18)))) (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 13) (pow.f64 (cos.f64 eps) 13)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 13) (pow.f64 (cos.f64 eps) 13)) 1/18))) (fma.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (fma.f64 1/27 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 16) (pow.f64 (cos.f64 eps) 16))) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/6))))))) (fma.f64 1/3 (*.f64 x (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 16) (pow.f64 (cos.f64 eps) 16)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 16) (pow.f64 (cos.f64 eps) 16)) 1/18))) (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))))
(+.f64 (*.f64 (*.f64 -1/3 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2)))) (+.f64 (*.f64 (pow.f64 x 2) (fma.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18)) (*.f64 (sin.f64 eps) (neg.f64 (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (cos.f64 eps)))))) (*.f64 (pow.f64 x 3) (+.f64 (-.f64 1/2 (*.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)))) (fma.f64 -2/3 (*.f64 (fma.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18)) (*.f64 (sin.f64 eps) (neg.f64 (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (cos.f64 eps))))) (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 13) (pow.f64 (cos.f64 eps) 13)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 13) (pow.f64 (cos.f64 eps) 13)) 1/18))) (fma.f64 -1/2 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (fma.f64 1/27 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 16) (pow.f64 (cos.f64 eps) 16))) (/.f64 (*.f64 1/6 (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))))))))) (fma.f64 1/3 (*.f64 x (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 16) (pow.f64 (cos.f64 eps) 16)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 16) (pow.f64 (cos.f64 eps) 16)) 1/18))) (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(pow.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 1/3)
(cbrt.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(pow.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 1/3)
(cbrt.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(pow.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 1/3)
(cbrt.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(pow.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 1/3)
(cbrt.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(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))) 1/3)
(cbrt.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(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))) 1/3)
(cbrt.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(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))) 1/3)
(cbrt.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(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))) 1/3)
(cbrt.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(pow.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 1/3)
(cbrt.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(pow.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 1/3)
(cbrt.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(pow.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 1/3)
(cbrt.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(pow.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 1/3)
(cbrt.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(pow.f64 (-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) 1/3)
(cbrt.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(pow.f64 (-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) 1/3)
(cbrt.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(pow.f64 (-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) 1/3)
(cbrt.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(pow.f64 (-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) 1/3)
(cbrt.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(pow.f64 x 2)
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (pow.f64 x 2))
(fma.f64 -1/3 (pow.f64 x 4) (pow.f64 x 2))
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2)))
(fma.f64 -1/3 (pow.f64 x 4) (fma.f64 2/45 (pow.f64 x 6) (pow.f64 x 2)))
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 -1/315 (pow.f64 x 8)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2))))
(fma.f64 -1/3 (pow.f64 x 4) (fma.f64 -1/315 (pow.f64 x 8) (fma.f64 2/45 (pow.f64 x 6) (pow.f64 x 2))))
eps
(+.f64 eps (*.f64 eps (pow.f64 x 2)))
(fma.f64 eps (pow.f64 x 2) eps)
(+.f64 eps (+.f64 (*.f64 2/3 (*.f64 eps (pow.f64 x 4))) (*.f64 eps (pow.f64 x 2))))
(+.f64 eps (fma.f64 2/3 (*.f64 eps (pow.f64 x 4)) (*.f64 eps (pow.f64 x 2))))
(+.f64 eps (+.f64 (*.f64 17/45 (*.f64 eps (pow.f64 x 6))) (+.f64 (*.f64 2/3 (*.f64 eps (pow.f64 x 4))) (*.f64 eps (pow.f64 x 2)))))
(+.f64 eps (fma.f64 17/45 (*.f64 eps (pow.f64 x 6)) (fma.f64 2/3 (*.f64 eps (pow.f64 x 4)) (*.f64 eps (pow.f64 x 2)))))
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 (pow.f64 x 4) 1/3)))
(+.f64 (-.f64 1 (pow.f64 x 2)) (*.f64 (pow.f64 x 4) 1/3))
(+.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 (pow.f64 x 4) 1/3))))
(+.f64 (-.f64 1 (pow.f64 x 2)) (fma.f64 (pow.f64 x 4) 1/3 (*.f64 (pow.f64 x 6) -2/45)))
(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 (pow.f64 x 8) 62/315 (fma.f64 (pow.f64 x 6) 17/45 (fma.f64 (pow.f64 x 4) 2/3 (pow.f64 x 2))))
(/.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 -1 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))))
(fma.f64 -1 (*.f64 (pow.f64 x 2) (*.f64 -1 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))
(-.f64 (fma.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (pow.f64 x 2) (-.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))))
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(+.f64 1 (*.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x)))
(+.f64 1 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 eps))))
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))
(+.f64 1 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) 2)) (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(+.f64 1 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 eps))))
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))
(+.f64 1 (*.f64 (neg.f64 (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))) (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(+.f64 1 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 eps))))
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))
(*.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))
(fma.f64 (tan.f64 x) (tan.f64 eps) 1)
(*.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 1)
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))
(fma.f64 (tan.f64 x) (tan.f64 eps) 1)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2) (cbrt.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))
(fma.f64 (tan.f64 x) (tan.f64 eps) 1)
(*.f64 (sqrt.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (sqrt.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))
(fma.f64 (tan.f64 x) (tan.f64 eps) 1)
(*.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3)) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) (*.f64 (tan.f64 x) (tan.f64 eps))))))
(*.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3)) (/.f64 1 (+.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3)) (+.f64 1 (*.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))
(/.f64 (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1))
(/.f64 1 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))
(fma.f64 (tan.f64 x) (tan.f64 eps) 1)
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3))))
(*.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3)) (/.f64 1 (+.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3)) (+.f64 1 (*.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))))
(*.f64 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))
(/.f64 (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1))
(/.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 1)
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))
(fma.f64 (tan.f64 x) (tan.f64 eps) 1)
(/.f64 (neg.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) -1)
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))
(fma.f64 (tan.f64 x) (tan.f64 eps) 1)
(/.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3)) (+.f64 1 (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3)) (/.f64 1 (+.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3)) (+.f64 1 (*.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))
(/.f64 (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3))) (neg.f64 (+.f64 1 (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) (*.f64 (tan.f64 x) (tan.f64 eps))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3))) (+.f64 -1 (neg.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3)) (neg.f64 (-.f64 -1 (*.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (*.f64 (tan.f64 x) (tan.f64 eps))))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (neg.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))
(/.f64 (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1))
(/.f64 (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3)) (+.f64 1 (-.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3)) (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(pow.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 1)
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))
(fma.f64 (tan.f64 x) (tan.f64 eps) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 3)
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))
(fma.f64 (tan.f64 x) (tan.f64 eps) 1)
(pow.f64 (pow.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 3) 1/3)
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))
(fma.f64 (tan.f64 x) (tan.f64 eps) 1)
(pow.f64 (sqrt.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2)
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))
(fma.f64 (tan.f64 x) (tan.f64 eps) 1)
(sqrt.f64 (pow.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 2))
(fabs.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1))
(log.f64 (exp.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))
(fma.f64 (tan.f64 x) (tan.f64 eps) 1)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))
(fma.f64 (tan.f64 x) (tan.f64 eps) 1)
(cbrt.f64 (pow.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 3))
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))
(fma.f64 (tan.f64 x) (tan.f64 eps) 1)
(expm1.f64 (log1p.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(expm1.f64 (log1p.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1)))
(log1p.f64 (expm1.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))
(fma.f64 (tan.f64 x) (tan.f64 eps) 1)
(exp.f64 (log1p.f64 (*.f64 (tan.f64 x) (tan.f64 eps))))
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))
(fma.f64 (tan.f64 x) (tan.f64 eps) 1)
(exp.f64 (*.f64 (log1p.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) 1))
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))
(fma.f64 (tan.f64 x) (tan.f64 eps) 1)

eval1.0s (8.6%)

Compiler

Compiled 35255 to 20027 computations (43.2% saved)

prune366.0ms (3%)

Pruning

16 alts after pruning (12 fresh and 4 done)

PrunedKeptTotal
New995101005
Fresh426
Picked235
Done011
Total1001161017
Accuracy
100.0%
Counts
1017 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
60.6%
(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)))
59.7%
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))) (neg.f64 (tan.f64 x)))
59.6%
(pow.f64 (pow.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 1/3) 3)
24.4%
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3)
60.5%
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
96.6%
(pow.f64 (cbrt.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) 3)
98.2%
(/.f64 (sin.f64 eps) (cos.f64 eps))
60.6%
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
60.5%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
99.1%
(+.f64 (+.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) eps)) (/.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)))
98.7%
(+.f64 (+.f64 eps (*.f64 eps (pow.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)))
98.9%
(+.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) x) (cos.f64 x)))
99.1%
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 (pow.f64 eps 2) (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3))))
98.9%
(*.f64 eps (+.f64 1 (pow.f64 (pow.f64 (pow.f64 (tan.f64 x) 2) 3) 1/3)))
98.9%
(*.f64 eps (+.f64 1 (pow.f64 (tan.f64 x) 2)))
98.9%
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (log.f64 (exp.f64 (pow.f64 (cos.f64 x) 2))))))
Compiler

Compiled 554 to 400 computations (27.8% saved)

localize689.0ms (5.6%)

Localize:

Found 17 expressions with local error:

NewAccuracyProgram
100.0%
(/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))
100.0%
(+.f64 (tan.f64 x) (tan.f64 eps))
60.7%
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))) (neg.f64 (tan.f64 x)))
100.0%
(pow.f64 (cos.f64 x) 2)
100.0%
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (log.f64 (exp.f64 (pow.f64 (cos.f64 x) 2))))))
100.0%
(pow.f64 (sin.f64 x) 2)
99.9%
(log.f64 (exp.f64 (pow.f64 (cos.f64 x) 2)))
100.0%
(pow.f64 (tan.f64 x) 2)
100.0%
(*.f64 eps (+.f64 1 (pow.f64 (pow.f64 (pow.f64 (tan.f64 x) 2) 3) 1/3)))
99.8%
(pow.f64 (pow.f64 (tan.f64 x) 2) 3)
65.9%
(pow.f64 (pow.f64 (pow.f64 (tan.f64 x) 2) 3) 1/3)
100.0%
(pow.f64 (tan.f64 x) 2)
100.0%
(*.f64 eps (+.f64 1 (pow.f64 (tan.f64 x) 2)))
100.0%
(/.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))
100.0%
(pow.f64 (sin.f64 x) 2)
99.9%
(*.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))))))
99.9%
(*.f64 (pow.f64 (tan.f64 x) 2) eps)
Compiler

Compiled 362 to 199 computations (45% saved)

series66.0ms (0.5%)

Counts
11 → 184
Calls

51 calls:

TimeVariablePointExpression
15.0ms
x
@-inf
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (log.f64 (exp.f64 (pow.f64 (cos.f64 x) 2))))))
4.0ms
x
@-inf
(pow.f64 (pow.f64 (pow.f64 (tan.f64 x) 2) 3) 1/3)
3.0ms
eps
@0
(*.f64 eps (+.f64 1 (pow.f64 (pow.f64 (pow.f64 (tan.f64 x) 2) 3) 1/3)))
3.0ms
x
@inf
(pow.f64 (pow.f64 (pow.f64 (tan.f64 x) 2) 3) 1/3)
2.0ms
eps
@inf
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))) (neg.f64 (tan.f64 x)))

rewrite134.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
414×associate-*r*
284×associate-*l*
265×log1p-expm1-u
265×expm1-log1p-u
257×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
040259
1628251
Stop Event
node limit
Counts
11 → 382
Calls
Call 1
Inputs
(*.f64 (pow.f64 (tan.f64 x) 2) eps)
(*.f64 eps (+.f64 1 (pow.f64 (tan.f64 x) 2)))
(pow.f64 (tan.f64 x) 2)
(pow.f64 (pow.f64 (pow.f64 (tan.f64 x) 2) 3) 1/3)
(pow.f64 (pow.f64 (tan.f64 x) 2) 3)
(*.f64 eps (+.f64 1 (pow.f64 (pow.f64 (pow.f64 (tan.f64 x) 2) 3) 1/3)))
(pow.f64 (tan.f64 x) 2)
(log.f64 (exp.f64 (pow.f64 (cos.f64 x) 2)))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (log.f64 (exp.f64 (pow.f64 (cos.f64 x) 2))))))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))) (neg.f64 (tan.f64 x)))
(/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (tan.f64 x) 2) eps))) 1)
(/.f64 eps (/.f64 1 (pow.f64 (tan.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (neg.f64 (pow.f64 (sin.f64 x) 2))) (neg.f64 (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) eps) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) eps) (neg.f64 (pow.f64 (cos.f64 x) 2)))
(pow.f64 (*.f64 (pow.f64 (tan.f64 x) 2) eps) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (tan.f64 x) 2) eps)) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (tan.f64 x) 2) eps) 3) 1/3)
(pow.f64 (*.f64 (tan.f64 x) (sqrt.f64 eps)) 2)
(sqrt.f64 (*.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 eps 2)))
(log.f64 (pow.f64 (exp.f64 eps) (pow.f64 (tan.f64 x) 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (tan.f64 x) 2) eps))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (tan.f64 x) 2) eps) 3))
(cbrt.f64 (*.f64 (pow.f64 (tan.f64 x) 6) (pow.f64 eps 3)))
(cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (tan.f64 x) 6)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (tan.f64 x) 2) eps)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (tan.f64 x) 2) eps)))
(exp.f64 (log.f64 (*.f64 (pow.f64 (tan.f64 x) 2) eps)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (tan.f64 x) 2) eps)) 1))
(+.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) eps))
(+.f64 (*.f64 (pow.f64 (tan.f64 x) 2) eps) eps)
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) 2) 1)))) 1)
(/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 (pow.f64 (tan.f64 x) 2) eps) 3)) (+.f64 (pow.f64 eps 2) (-.f64 (*.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 eps 2)) (*.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) eps)))))
(/.f64 (-.f64 (pow.f64 eps 2) (*.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 eps 2))) (-.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) eps)))
(/.f64 (*.f64 eps (+.f64 1 (pow.f64 (tan.f64 x) 6))) (+.f64 1 (+.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (tan.f64 x) 2))))
(/.f64 (*.f64 eps (+.f64 1 (pow.f64 (tan.f64 x) 4))) (+.f64 (pow.f64 (tan.f64 x) 2) 1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (tan.f64 x) 6)) eps) (+.f64 1 (+.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (tan.f64 x) 2))))
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(*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 1 (neg.f64 (pow.f64 (cos.f64 x) 2))))
(*.f64 (pow.f64 (cos.f64 x) -2) (pow.f64 (sin.f64 x) 2))
(*.f64 -1 (pow.f64 (tan.f64 x) 2))
(*.f64 (pow.f64 (pow.f64 (tan.f64 x) 4) 1/3) (pow.f64 (cbrt.f64 (tan.f64 x)) 2))
(*.f64 (pow.f64 1 1/3) (pow.f64 (tan.f64 x) 2))
(*.f64 (*.f64 (tan.f64 x) (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)))
(*.f64 (/.f64 1 (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 x) 4))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))
(*.f64 (/.f64 (sin.f64 x) 1) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)))
(*.f64 (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (cos.f64 x) 4))) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) 1) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cos.f64 x) 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (cos.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cos.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (cbrt.f64 (pow.f64 (cos.f64 x) 4))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2))
(*.f64 (*.f64 (tan.f64 x) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (tan.f64 x)))
(/.f64 1 (/.f64 1 (pow.f64 (tan.f64 x) 2)))
(/.f64 1 (/.f64 (/.f64 1 (pow.f64 (tan.f64 x) 2)) 1))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (neg.f64 (pow.f64 (cos.f64 x) 2)))
(/.f64 -1 (neg.f64 (/.f64 1 (pow.f64 (tan.f64 x) 2))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 x) 2))) (neg.f64 (neg.f64 (pow.f64 (cos.f64 x) 2))))
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)) (cos.f64 x))
(/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 1) (pow.f64 (cos.f64 x) 2))
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (cbrt.f64 (pow.f64 (cos.f64 x) 4))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))
(neg.f64 (pow.f64 (tan.f64 x) 2))
(neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (pow.f64 (cos.f64 x) 2))))
(neg.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))
(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 0 (pow.f64 (cos.f64 x) 2))
(+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cos.f64 x) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cos.f64 x) 2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cos.f64 x) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cos.f64 x) 2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 x) 2))) 1)
(*.f64 1 (pow.f64 (cos.f64 x) 2))
(*.f64 (cos.f64 x) (cos.f64 x))
(*.f64 (pow.f64 (cos.f64 x) 2) 1)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (pow.f64 (cos.f64 x) 4)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) (cos.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 4)) (pow.f64 (cbrt.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) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)))
(/.f64 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 (-.f64 x x))) 2)
(pow.f64 (cos.f64 x) 2)
(pow.f64 (pow.f64 (cos.f64 x) 2) 1)
(pow.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 3)
(pow.f64 (pow.f64 (pow.f64 (cos.f64 x) 2) 3) 1/3)
(sqrt.f64 (pow.f64 (cos.f64 x) 4))
(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 (pow.f64 (tan.f64 x) 2) eps))
(+.f64 (*.f64 (pow.f64 (tan.f64 x) 2) eps) eps)
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) 2) 1)))) 1)
(/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 (pow.f64 (tan.f64 x) 2) eps) 3)) (+.f64 (pow.f64 eps 2) (-.f64 (*.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 eps 2)) (*.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) eps)))))
(/.f64 (-.f64 (pow.f64 eps 2) (*.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 eps 2))) (-.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) eps)))
(/.f64 (*.f64 eps (+.f64 1 (pow.f64 (tan.f64 x) 6))) (+.f64 1 (+.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (tan.f64 x) 2))))
(/.f64 (*.f64 eps (+.f64 1 (pow.f64 (tan.f64 x) 4))) (+.f64 (pow.f64 (tan.f64 x) 2) 1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (tan.f64 x) 6)) eps) (+.f64 1 (+.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (tan.f64 x) 2))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (tan.f64 x) 4)) eps) (+.f64 (pow.f64 (tan.f64 x) 2) 1))
(pow.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) 2) 1)) 1)
(pow.f64 (cbrt.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) 2) 1))) 3)
(pow.f64 (pow.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) 2) 1)) 3) 1/3)
(pow.f64 (*.f64 (hypot.f64 1 (tan.f64 x)) (sqrt.f64 eps)) 2)
(sqrt.f64 (pow.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) 2) 1)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 (pow.f64 (tan.f64 x) 2) 1)) eps))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) 2) 1)))))
(cbrt.f64 (pow.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) 2) 1)) 3))
(cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (+.f64 (pow.f64 (tan.f64 x) 2) 1) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (pow.f64 (tan.f64 x) 2) 1) 3) (pow.f64 eps 3)))
(expm1.f64 (log1p.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) 2) 1))))
(log1p.f64 (expm1.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) 2) 1))))
(exp.f64 (+.f64 (log1p.f64 (pow.f64 (tan.f64 x) 2)) (log.f64 eps)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (pow.f64 (tan.f64 x) 2)) (log.f64 eps)) 1))
(fma.f64 eps 1 (*.f64 (pow.f64 (tan.f64 x) 2) eps))
(fma.f64 1 eps (*.f64 (pow.f64 (tan.f64 x) 2) eps))
(fma.f64 (cbrt.f64 (pow.f64 eps 2)) (cbrt.f64 eps) (*.f64 (pow.f64 (tan.f64 x) 2) eps))
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (*.f64 (pow.f64 (tan.f64 x) 2) eps))
(+.f64 (tan.f64 x) (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 x (tan.f64 eps) 1)))
(+.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 x (tan.f64 eps) 1)) (tan.f64 x))
(+.f64 (*.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 x (tan.f64 eps) 1)) 1) (tan.f64 x))
(-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 x (tan.f64 eps) 1)) (tan.f64 x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 x (tan.f64 eps) 1) (tan.f64 x)))) 1)
(-.f64 (+.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 x (tan.f64 eps) 1)) 0) (tan.f64 x))
(*.f64 1 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 x (tan.f64 eps) 1) (tan.f64 x)))
(*.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 x (tan.f64 eps) 1) (tan.f64 x)) 1)
(*.f64 (cbrt.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 x (tan.f64 eps) 1) (tan.f64 x))) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 x (tan.f64 eps) 1) (tan.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 x (tan.f64 eps) 1) (tan.f64 x))) 2) (cbrt.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 x (tan.f64 eps) 1) (tan.f64 x))))
(*.f64 (sqrt.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 x (tan.f64 eps) 1) (tan.f64 x))) (sqrt.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 x (tan.f64 eps) 1) (tan.f64 x))))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 x (tan.f64 eps) 1)) 3) (pow.f64 (tan.f64 x) 3)) (+.f64 (*.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 x (tan.f64 eps) 1)) (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 x (tan.f64 eps) 1))) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 x (tan.f64 eps) 1)) (tan.f64 x)))))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 x (tan.f64 eps) 1)) (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 x (tan.f64 eps) 1))) (pow.f64 (tan.f64 x) 2)) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 x (tan.f64 eps) 1) (tan.f64 x)))
(pow.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 x (tan.f64 eps) 1) (tan.f64 x)) 1)
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 x (tan.f64 eps) 1) (tan.f64 x))) 3)
(pow.f64 (pow.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 x (tan.f64 eps) 1) (tan.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 x (tan.f64 eps) 1) (tan.f64 x))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 x (tan.f64 eps) 1) (tan.f64 x)) 2))
(log.f64 (exp.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 x (tan.f64 eps) 1) (tan.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 x (tan.f64 eps) 1) (tan.f64 x)))))
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 x (tan.f64 eps) 1) (tan.f64 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 x (tan.f64 eps) 1) (tan.f64 x))))
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 x (tan.f64 eps) 1) (tan.f64 x))))
(exp.f64 (log.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 x (tan.f64 eps) 1) (tan.f64 x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 x (tan.f64 eps) 1) (tan.f64 x))) 1))
(-.f64 (fma.f64 x (tan.f64 eps) 1) 1)
(*.f64 x (tan.f64 eps))
(*.f64 1 (*.f64 x (tan.f64 eps)))
(*.f64 (tan.f64 eps) x)
(*.f64 (sin.f64 eps) (/.f64 x (cos.f64 eps)))
(*.f64 (sin.f64 eps) (*.f64 x (/.f64 1 (cos.f64 eps))))
(*.f64 (*.f64 x (sin.f64 eps)) (/.f64 1 (cos.f64 eps)))
(*.f64 (*.f64 x (tan.f64 eps)) 1)
(*.f64 (cbrt.f64 (*.f64 x (tan.f64 eps))) (cbrt.f64 (pow.f64 (*.f64 x (tan.f64 eps)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (tan.f64 eps)) 2)) (cbrt.f64 (*.f64 x (tan.f64 eps))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 eps))) 2) (/.f64 (cbrt.f64 (*.f64 x (sin.f64 eps))) (cos.f64 eps)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 eps))) 2) (*.f64 (cbrt.f64 (*.f64 x (sin.f64 eps))) (/.f64 1 (cos.f64 eps))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (tan.f64 eps)))
(*.f64 (sqrt.f64 (*.f64 x (tan.f64 eps))) (sqrt.f64 (*.f64 x (tan.f64 eps))))
(*.f64 (sqrt.f64 (*.f64 x (sin.f64 eps))) (/.f64 (sqrt.f64 (*.f64 x (sin.f64 eps))) (cos.f64 eps)))
(*.f64 (sqrt.f64 (*.f64 x (sin.f64 eps))) (*.f64 (sqrt.f64 (*.f64 x (sin.f64 eps))) (/.f64 1 (cos.f64 eps))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (tan.f64 eps)))
(*.f64 (*.f64 (sin.f64 eps) (neg.f64 x)) (/.f64 1 (neg.f64 (cos.f64 eps))))
(*.f64 (/.f64 1 (cos.f64 eps)) (*.f64 x (sin.f64 eps)))
(*.f64 (/.f64 x 1) (tan.f64 eps))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (/.f64 (sin.f64 eps) (cbrt.f64 (cos.f64 eps))))
(*.f64 (/.f64 x (sqrt.f64 (cos.f64 eps))) (/.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 eps))))
(*.f64 (/.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 eps))) (/.f64 x (sqrt.f64 (cos.f64 eps))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (/.f64 (*.f64 x (sin.f64 eps)) (cbrt.f64 (cos.f64 eps))))
(*.f64 (/.f64 1 (sqrt.f64 (cos.f64 eps))) (/.f64 (*.f64 x (sin.f64 eps)) (sqrt.f64 (cos.f64 eps))))
(*.f64 (/.f64 (sin.f64 eps) 1) (/.f64 x (cos.f64 eps)))
(*.f64 (/.f64 (sin.f64 eps) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (/.f64 x (cbrt.f64 (cos.f64 eps))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 eps))) 2) 1) (/.f64 (cbrt.f64 (*.f64 x (sin.f64 eps))) (cos.f64 eps)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 eps))) 2) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (cbrt.f64 (*.f64 x (tan.f64 eps))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 eps))) 2) (sqrt.f64 (cos.f64 eps))) (/.f64 (cbrt.f64 (*.f64 x (sin.f64 eps))) (sqrt.f64 (cos.f64 eps))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (sin.f64 eps))) 1) (/.f64 (sqrt.f64 (*.f64 x (sin.f64 eps))) (cos.f64 eps)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (sin.f64 eps))) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (/.f64 (sqrt.f64 (*.f64 x (sin.f64 eps))) (cbrt.f64 (cos.f64 eps))))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (tan.f64 eps)) 2)) (cbrt.f64 (tan.f64 eps)))
(*.f64 (*.f64 x (sqrt.f64 (tan.f64 eps))) (sqrt.f64 (tan.f64 eps)))
(pow.f64 (*.f64 x (tan.f64 eps)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (tan.f64 eps))) 3)
(pow.f64 (pow.f64 (*.f64 x (tan.f64 eps)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (tan.f64 eps))) 2)
(pow.f64 (/.f64 1 (*.f64 x (tan.f64 eps))) -1)
(neg.f64 (/.f64 (*.f64 x (sin.f64 eps)) (neg.f64 (cos.f64 eps))))
(neg.f64 (/.f64 (*.f64 (sin.f64 eps) (neg.f64 x)) (cos.f64 eps)))
(sqrt.f64 (pow.f64 (*.f64 x (tan.f64 eps)) 2))
(log.f64 (pow.f64 (exp.f64 x) (tan.f64 eps)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (tan.f64 eps)))))
(cbrt.f64 (pow.f64 (*.f64 x (tan.f64 eps)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (tan.f64 eps))))
(log1p.f64 (expm1.f64 (*.f64 x (tan.f64 eps))))
(exp.f64 (log.f64 (*.f64 x (tan.f64 eps))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (tan.f64 eps))) 1))

simplify252.0ms (2.1%)

Algorithm
egg-herbie
Rules
720×associate-*r*
694×fma-neg
672×associate-*l*
578×log-prod
538×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
064422439
1159621339
2566221333
Stop Event
node limit
Counts
566 → 366
Calls
Call 1
Inputs
(*.f64 eps (pow.f64 x 2))
(+.f64 (*.f64 2/3 (*.f64 eps (pow.f64 x 4))) (*.f64 eps (pow.f64 x 2)))
(+.f64 (*.f64 17/45 (*.f64 eps (pow.f64 x 6))) (+.f64 (*.f64 2/3 (*.f64 eps (pow.f64 x 4))) (*.f64 eps (pow.f64 x 2))))
(+.f64 (*.f64 62/315 (*.f64 eps (pow.f64 x 8))) (+.f64 (*.f64 17/45 (*.f64 eps (pow.f64 x 6))) (+.f64 (*.f64 2/3 (*.f64 eps (pow.f64 x 4))) (*.f64 eps (pow.f64 x 2)))))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
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eps
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(*.f64 (sqrt.f64 (*.f64 x (sin.f64 eps))) (/.f64 (sqrt.f64 (*.f64 x (sin.f64 eps))) (cos.f64 eps)))
(*.f64 (sqrt.f64 (*.f64 x (sin.f64 eps))) (*.f64 (sqrt.f64 (*.f64 x (sin.f64 eps))) (/.f64 1 (cos.f64 eps))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (tan.f64 eps)))
(*.f64 (*.f64 (sin.f64 eps) (neg.f64 x)) (/.f64 1 (neg.f64 (cos.f64 eps))))
(*.f64 (/.f64 1 (cos.f64 eps)) (*.f64 x (sin.f64 eps)))
(*.f64 (/.f64 x 1) (tan.f64 eps))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (/.f64 (sin.f64 eps) (cbrt.f64 (cos.f64 eps))))
(*.f64 (/.f64 x (sqrt.f64 (cos.f64 eps))) (/.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 eps))))
(*.f64 (/.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 eps))) (/.f64 x (sqrt.f64 (cos.f64 eps))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (/.f64 (*.f64 x (sin.f64 eps)) (cbrt.f64 (cos.f64 eps))))
(*.f64 (/.f64 1 (sqrt.f64 (cos.f64 eps))) (/.f64 (*.f64 x (sin.f64 eps)) (sqrt.f64 (cos.f64 eps))))
(*.f64 (/.f64 (sin.f64 eps) 1) (/.f64 x (cos.f64 eps)))
(*.f64 (/.f64 (sin.f64 eps) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (/.f64 x (cbrt.f64 (cos.f64 eps))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 eps))) 2) 1) (/.f64 (cbrt.f64 (*.f64 x (sin.f64 eps))) (cos.f64 eps)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 eps))) 2) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (cbrt.f64 (*.f64 x (tan.f64 eps))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 eps))) 2) (sqrt.f64 (cos.f64 eps))) (/.f64 (cbrt.f64 (*.f64 x (sin.f64 eps))) (sqrt.f64 (cos.f64 eps))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (sin.f64 eps))) 1) (/.f64 (sqrt.f64 (*.f64 x (sin.f64 eps))) (cos.f64 eps)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (sin.f64 eps))) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (/.f64 (sqrt.f64 (*.f64 x (sin.f64 eps))) (cbrt.f64 (cos.f64 eps))))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (tan.f64 eps)) 2)) (cbrt.f64 (tan.f64 eps)))
(*.f64 (*.f64 x (sqrt.f64 (tan.f64 eps))) (sqrt.f64 (tan.f64 eps)))
(pow.f64 (*.f64 x (tan.f64 eps)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (tan.f64 eps))) 3)
(pow.f64 (pow.f64 (*.f64 x (tan.f64 eps)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (tan.f64 eps))) 2)
(pow.f64 (/.f64 1 (*.f64 x (tan.f64 eps))) -1)
(neg.f64 (/.f64 (*.f64 x (sin.f64 eps)) (neg.f64 (cos.f64 eps))))
(neg.f64 (/.f64 (*.f64 (sin.f64 eps) (neg.f64 x)) (cos.f64 eps)))
(sqrt.f64 (pow.f64 (*.f64 x (tan.f64 eps)) 2))
(log.f64 (pow.f64 (exp.f64 x) (tan.f64 eps)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (tan.f64 eps)))))
(cbrt.f64 (pow.f64 (*.f64 x (tan.f64 eps)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (tan.f64 eps))))
(log1p.f64 (expm1.f64 (*.f64 x (tan.f64 eps))))
(exp.f64 (log.f64 (*.f64 x (tan.f64 eps))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (tan.f64 eps))) 1))
Outputs
(*.f64 eps (pow.f64 x 2))
(+.f64 (*.f64 2/3 (*.f64 eps (pow.f64 x 4))) (*.f64 eps (pow.f64 x 2)))
(fma.f64 2/3 (*.f64 eps (pow.f64 x 4)) (*.f64 eps (pow.f64 x 2)))
(+.f64 (*.f64 17/45 (*.f64 eps (pow.f64 x 6))) (+.f64 (*.f64 2/3 (*.f64 eps (pow.f64 x 4))) (*.f64 eps (pow.f64 x 2))))
(fma.f64 17/45 (*.f64 eps (pow.f64 x 6)) (fma.f64 2/3 (*.f64 eps (pow.f64 x 4)) (*.f64 eps (pow.f64 x 2))))
(+.f64 (*.f64 62/315 (*.f64 eps (pow.f64 x 8))) (+.f64 (*.f64 17/45 (*.f64 eps (pow.f64 x 6))) (+.f64 (*.f64 2/3 (*.f64 eps (pow.f64 x 4))) (*.f64 eps (pow.f64 x 2)))))
(fma.f64 62/315 (*.f64 eps (pow.f64 x 8)) (fma.f64 17/45 (*.f64 eps (pow.f64 x 6)) (fma.f64 2/3 (*.f64 eps (pow.f64 x 4)) (*.f64 eps (pow.f64 x 2)))))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(*.f64 eps (+.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 eps (+.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 eps (+.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 eps (+.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 eps (+.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 eps (+.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 eps (+.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 eps (+.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 eps (+.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 eps (+.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 eps (+.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 eps (+.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))))
eps
(+.f64 eps (*.f64 eps (pow.f64 x 2)))
(fma.f64 eps (pow.f64 x 2) eps)
(+.f64 eps (+.f64 (*.f64 2/3 (*.f64 eps (pow.f64 x 4))) (*.f64 eps (pow.f64 x 2))))
(+.f64 eps (fma.f64 2/3 (*.f64 eps (pow.f64 x 4)) (*.f64 eps (pow.f64 x 2))))
(+.f64 eps (+.f64 (*.f64 17/45 (*.f64 eps (pow.f64 x 6))) (+.f64 (*.f64 2/3 (*.f64 eps (pow.f64 x 4))) (*.f64 eps (pow.f64 x 2)))))
(+.f64 eps (fma.f64 17/45 (*.f64 eps (pow.f64 x 6)) (fma.f64 2/3 (*.f64 eps (pow.f64 x 4)) (*.f64 eps (pow.f64 x 2)))))
(*.f64 eps (+.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 eps (+.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 eps (+.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 eps (+.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 eps (+.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 eps (+.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 eps (+.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 eps (+.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))))
(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))
(/.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))
(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))
(/.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))
(pow.f64 x 6)
(+.f64 (*.f64 2 (pow.f64 x 8)) (pow.f64 x 6))
(fma.f64 2 (pow.f64 x 8) (pow.f64 x 6))
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eps
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(pow.f64 x 2)
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1
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(pow.f64 (cos.f64 x) 2)
(pow.f64 (cos.f64 x) 2)
(pow.f64 (cos.f64 x) 2)
(pow.f64 (cos.f64 x) 2)
(pow.f64 (cos.f64 x) 2)
(pow.f64 (cos.f64 x) 2)
(pow.f64 (cos.f64 x) 2)
(pow.f64 (cos.f64 x) 2)
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eps
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(*.f64 x (*.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (sin.f64 eps) (cos.f64 eps))))
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(fma.f64 x (*.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
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(fma.f64 x (*.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
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(fma.f64 x (*.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 (*.f64 x (*.f64 (sin.f64 eps) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (cos.f64 eps))
(/.f64 (*.f64 (*.f64 x (sin.f64 eps)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))) (cos.f64 eps))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (tan.f64 x) 2) eps))) 1)
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(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 x (tan.f64 eps) 1) (tan.f64 x))
(exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 x (tan.f64 eps) 1) (tan.f64 x))) 1))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 x (tan.f64 eps) 1) (tan.f64 x))
(-.f64 (fma.f64 x (tan.f64 eps) 1) 1)
(+.f64 (fma.f64 x (tan.f64 eps) 1) -1)
(+.f64 (*.f64 x (tan.f64 eps)) 0)
(*.f64 x (tan.f64 eps))
(*.f64 1 (*.f64 x (tan.f64 eps)))
(*.f64 x (tan.f64 eps))
(*.f64 (tan.f64 eps) x)
(*.f64 x (tan.f64 eps))
(*.f64 (sin.f64 eps) (/.f64 x (cos.f64 eps)))
(/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))
(*.f64 (sin.f64 eps) (*.f64 x (/.f64 1 (cos.f64 eps))))
(/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))
(*.f64 (*.f64 x (sin.f64 eps)) (/.f64 1 (cos.f64 eps)))
(/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))
(*.f64 (*.f64 x (tan.f64 eps)) 1)
(*.f64 x (tan.f64 eps))
(*.f64 (cbrt.f64 (*.f64 x (tan.f64 eps))) (cbrt.f64 (pow.f64 (*.f64 x (tan.f64 eps)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (tan.f64 eps)) 2)) (cbrt.f64 (*.f64 x (tan.f64 eps))))
(*.f64 (cbrt.f64 (*.f64 x (tan.f64 eps))) (cbrt.f64 (pow.f64 (*.f64 x (tan.f64 eps)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 eps))) 2) (/.f64 (cbrt.f64 (*.f64 x (sin.f64 eps))) (cos.f64 eps)))
(/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 eps))) 2) (*.f64 (cbrt.f64 (*.f64 x (sin.f64 eps))) (/.f64 1 (cos.f64 eps))))
(/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (tan.f64 eps)))
(*.f64 x (tan.f64 eps))
(*.f64 (sqrt.f64 (*.f64 x (tan.f64 eps))) (sqrt.f64 (*.f64 x (tan.f64 eps))))
(*.f64 x (tan.f64 eps))
(*.f64 (sqrt.f64 (*.f64 x (sin.f64 eps))) (/.f64 (sqrt.f64 (*.f64 x (sin.f64 eps))) (cos.f64 eps)))
(/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))
(*.f64 (sqrt.f64 (*.f64 x (sin.f64 eps))) (*.f64 (sqrt.f64 (*.f64 x (sin.f64 eps))) (/.f64 1 (cos.f64 eps))))
(/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (tan.f64 eps)))
(*.f64 x (tan.f64 eps))
(*.f64 (*.f64 (sin.f64 eps) (neg.f64 x)) (/.f64 1 (neg.f64 (cos.f64 eps))))
(/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))
(*.f64 (/.f64 1 (cos.f64 eps)) (*.f64 x (sin.f64 eps)))
(/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))
(*.f64 (/.f64 x 1) (tan.f64 eps))
(*.f64 x (tan.f64 eps))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (/.f64 (sin.f64 eps) (cbrt.f64 (cos.f64 eps))))
(/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))
(*.f64 (/.f64 x (sqrt.f64 (cos.f64 eps))) (/.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 eps))))
(/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))
(*.f64 (/.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 eps))) (/.f64 x (sqrt.f64 (cos.f64 eps))))
(/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (/.f64 (*.f64 x (sin.f64 eps)) (cbrt.f64 (cos.f64 eps))))
(/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))
(*.f64 (/.f64 1 (sqrt.f64 (cos.f64 eps))) (/.f64 (*.f64 x (sin.f64 eps)) (sqrt.f64 (cos.f64 eps))))
(/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))
(*.f64 (/.f64 (sin.f64 eps) 1) (/.f64 x (cos.f64 eps)))
(/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))
(*.f64 (/.f64 (sin.f64 eps) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (/.f64 x (cbrt.f64 (cos.f64 eps))))
(/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 eps))) 2) 1) (/.f64 (cbrt.f64 (*.f64 x (sin.f64 eps))) (cos.f64 eps)))
(/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 eps))) 2) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (cbrt.f64 (*.f64 x (tan.f64 eps))))
(*.f64 (cbrt.f64 (*.f64 x (tan.f64 eps))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 eps))) 2) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)))
(/.f64 (*.f64 (cbrt.f64 (*.f64 x (tan.f64 eps))) (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 eps))) 2)) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 eps))) 2) (sqrt.f64 (cos.f64 eps))) (/.f64 (cbrt.f64 (*.f64 x (sin.f64 eps))) (sqrt.f64 (cos.f64 eps))))
(/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (sin.f64 eps))) 1) (/.f64 (sqrt.f64 (*.f64 x (sin.f64 eps))) (cos.f64 eps)))
(/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (sin.f64 eps))) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (/.f64 (sqrt.f64 (*.f64 x (sin.f64 eps))) (cbrt.f64 (cos.f64 eps))))
(/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (tan.f64 eps)) 2)) (cbrt.f64 (tan.f64 eps)))
(*.f64 x (tan.f64 eps))
(*.f64 (*.f64 x (sqrt.f64 (tan.f64 eps))) (sqrt.f64 (tan.f64 eps)))
(*.f64 x (tan.f64 eps))
(pow.f64 (*.f64 x (tan.f64 eps)) 1)
(*.f64 x (tan.f64 eps))
(pow.f64 (cbrt.f64 (*.f64 x (tan.f64 eps))) 3)
(*.f64 x (tan.f64 eps))
(pow.f64 (pow.f64 (*.f64 x (tan.f64 eps)) 3) 1/3)
(*.f64 x (tan.f64 eps))
(pow.f64 (sqrt.f64 (*.f64 x (tan.f64 eps))) 2)
(*.f64 x (tan.f64 eps))
(pow.f64 (/.f64 1 (*.f64 x (tan.f64 eps))) -1)
(*.f64 x (tan.f64 eps))
(neg.f64 (/.f64 (*.f64 x (sin.f64 eps)) (neg.f64 (cos.f64 eps))))
(/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))
(neg.f64 (/.f64 (*.f64 (sin.f64 eps) (neg.f64 x)) (cos.f64 eps)))
(/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))
(sqrt.f64 (pow.f64 (*.f64 x (tan.f64 eps)) 2))
(*.f64 x (tan.f64 eps))
(log.f64 (pow.f64 (exp.f64 x) (tan.f64 eps)))
(*.f64 x (tan.f64 eps))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (tan.f64 eps)))))
(*.f64 x (tan.f64 eps))
(cbrt.f64 (pow.f64 (*.f64 x (tan.f64 eps)) 3))
(*.f64 x (tan.f64 eps))
(expm1.f64 (log1p.f64 (*.f64 x (tan.f64 eps))))
(+.f64 (fma.f64 x (tan.f64 eps) 1) -1)
(+.f64 (*.f64 x (tan.f64 eps)) 0)
(log1p.f64 (expm1.f64 (*.f64 x (tan.f64 eps))))
(*.f64 x (tan.f64 eps))
(exp.f64 (log.f64 (*.f64 x (tan.f64 eps))))
(*.f64 x (tan.f64 eps))
(exp.f64 (*.f64 (log.f64 (*.f64 x (tan.f64 eps))) 1))
(*.f64 x (tan.f64 eps))

eval372.0ms (3%)

Compiler

Compiled 20780 to 11959 computations (42.4% saved)

prune140.0ms (1.1%)

Pruning

16 alts after pruning (12 fresh and 4 done)

PrunedKeptTotal
New8119820
Fresh437
Picked505
Done044
Total82016836
Accuracy
100.0%
Counts
836 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
60.6%
(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)))
59.7%
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (*.f64 eps x)) (neg.f64 (tan.f64 x)))
59.6%
(pow.f64 (pow.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 1/3) 3)
24.4%
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3)
60.5%
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
98.2%
(/.f64 (sin.f64 eps) (cos.f64 eps))
60.6%
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
60.5%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
99.1%
(+.f64 (+.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) eps)) (*.f64 (pow.f64 eps 2) (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3))))
98.9%
(+.f64 (*.f64 (pow.f64 (tan.f64 x) 2) eps) eps)
98.5%
(+.f64 (*.f64 eps (+.f64 1 (/.f64 (*.f64 x (sin.f64 x)) (cos.f64 x)))) (*.f64 (pow.f64 eps 2) x))
98.6%
(+.f64 eps (*.f64 eps (pow.f64 x 2)))
98.9%
(*.f64 eps (+.f64 1 (pow.f64 (pow.f64 (tan.f64 x) 6) 1/3)))
98.9%
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (log.f64 (exp.f64 (/.f64 (+.f64 1 (cos.f64 (*.f64 2 x))) 2))))))
89.8%
(exp.f64 (+.f64 (log1p.f64 (pow.f64 (tan.f64 x) 2)) (log.f64 eps)))
98.2%
eps
Compiler

Compiled 398 to 278 computations (30.2% saved)

localize192.0ms (1.6%)

Localize:

Found 13 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 (tan.f64 x) (tan.f64 eps))
60.7%
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (*.f64 eps x)) (neg.f64 (tan.f64 x)))
100.0%
(/.f64 (*.f64 x (sin.f64 x)) (cos.f64 x))
100.0%
(*.f64 x (sin.f64 x))
100.0%
(*.f64 eps (+.f64 1 (/.f64 (*.f64 x (sin.f64 x)) (cos.f64 x))))
99.9%
(*.f64 (pow.f64 eps 2) x)
100.0%
(+.f64 (*.f64 (pow.f64 (tan.f64 x) 2) eps) eps)
100.0%
(pow.f64 (tan.f64 x) 2)
99.9%
(*.f64 (pow.f64 (tan.f64 x) 2) eps)
100.0%
(pow.f64 (tan.f64 x) 3)
100.0%
(pow.f64 (tan.f64 x) 2)
99.9%
(*.f64 (pow.f64 eps 2) (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3)))
99.9%
(*.f64 (pow.f64 (tan.f64 x) 2) eps)
Compiler

Compiled 197 to 82 computations (58.4% saved)

series39.0ms (0.3%)

Counts
8 → 104
Calls

39 calls:

TimeVariablePointExpression
2.0ms
eps
@0
(*.f64 (pow.f64 eps 2) (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3)))
2.0ms
x
@-inf
(*.f64 (pow.f64 eps 2) x)
2.0ms
eps
@0
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (*.f64 eps x)) (neg.f64 (tan.f64 x)))
2.0ms
eps
@0
(*.f64 eps (+.f64 1 (/.f64 (*.f64 x (sin.f64 x)) (cos.f64 x))))
1.0ms
x
@inf
(*.f64 (pow.f64 eps 2) (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3)))

rewrite91.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
488×associate-*r*
314×associate-*l*
255×log1p-expm1-u
255×expm1-log1p-u
251×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033227
1554215
Stop Event
node limit
Counts
8 → 226
Calls
Call 1
Inputs
(*.f64 (pow.f64 eps 2) (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3)))
(pow.f64 (tan.f64 x) 3)
(+.f64 (*.f64 (pow.f64 (tan.f64 x) 2) eps) eps)
(*.f64 (pow.f64 eps 2) x)
(*.f64 eps (+.f64 1 (/.f64 (*.f64 x (sin.f64 x)) (cos.f64 x))))
(*.f64 x (sin.f64 x))
(/.f64 (*.f64 x (sin.f64 x)) (cos.f64 x))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (*.f64 eps x)) (neg.f64 (tan.f64 x)))
Outputs
(+.f64 (*.f64 (pow.f64 eps 2) (tan.f64 x)) (*.f64 (pow.f64 eps 2) (pow.f64 (tan.f64 x) 3)))
(+.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (tan.f64 x) 3)) (*.f64 (pow.f64 eps 2) (tan.f64 x)))
(+.f64 (*.f64 (*.f64 (pow.f64 eps 2) (tan.f64 x)) 1) (*.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (tan.f64 x) 3)) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 eps 2) (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3))))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 eps 2) (tan.f64 x)) 3) (pow.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (tan.f64 x) 3)) 3)) (+.f64 (*.f64 (*.f64 (pow.f64 eps 2) (tan.f64 x)) (*.f64 (pow.f64 eps 2) (tan.f64 x))) (-.f64 (*.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (tan.f64 x) 3)) (*.f64 (pow.f64 eps 2) (pow.f64 (tan.f64 x) 3))) (*.f64 (*.f64 (pow.f64 eps 2) (tan.f64 x)) (*.f64 (pow.f64 eps 2) (pow.f64 (tan.f64 x) 3))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 eps 2) (tan.f64 x)) (*.f64 (pow.f64 eps 2) (tan.f64 x))) (*.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (tan.f64 x) 3)) (*.f64 (pow.f64 eps 2) (pow.f64 (tan.f64 x) 3)))) (-.f64 (*.f64 (pow.f64 eps 2) (tan.f64 x)) (*.f64 (pow.f64 eps 2) (pow.f64 (tan.f64 x) 3))))
(/.f64 (*.f64 (pow.f64 eps 2) (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 x) 9))) (-.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 6)) (pow.f64 (tan.f64 x) 4)))
(/.f64 (*.f64 (pow.f64 eps 2) (+.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 6))) (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3)))
(/.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 x) 9)) (pow.f64 eps 2)) (-.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 6)) (pow.f64 (tan.f64 x) 4)))
(/.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 6)) (pow.f64 eps 2)) (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3)))
(pow.f64 (*.f64 (pow.f64 eps 2) (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3))) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 eps 2) (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3)))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 eps 2) (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3))) 3) 1/3)
(pow.f64 (*.f64 eps (sqrt.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3)))) 2)
(sqrt.f64 (*.f64 (pow.f64 eps 4) (+.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 6))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 eps 2) (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 eps 2) (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3))) 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 eps 2) 3) (pow.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3)) 3) (pow.f64 (pow.f64 eps 2) 3)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 eps 2) (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 eps 2) (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 eps 2) (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 eps 2) (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3)))) 1))
(fma.f64 (pow.f64 eps 2) (tan.f64 x) (*.f64 (pow.f64 eps 2) (pow.f64 (tan.f64 x) 3)))
(fma.f64 (tan.f64 x) (pow.f64 eps 2) (*.f64 (pow.f64 eps 2) (pow.f64 (tan.f64 x) 3)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (tan.f64 x) 3))) 1)
(*.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 2))
(*.f64 (pow.f64 (tan.f64 x) 3) 1)
(*.f64 (pow.f64 (tan.f64 x) 2) (tan.f64 x))
(*.f64 1 (pow.f64 (tan.f64 x) 3))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (*.f64 (cbrt.f64 (tan.f64 x)) (pow.f64 (tan.f64 x) 2)))
(*.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 4)) (*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x)))
(*.f64 (sqrt.f64 (tan.f64 x)) (*.f64 (sqrt.f64 (tan.f64 x)) (pow.f64 (tan.f64 x) 2)))
(*.f64 (pow.f64 (tan.f64 x) 3/2) (pow.f64 (tan.f64 x) 3/2))
(*.f64 (pow.f64 (sqrt.f64 (tan.f64 x)) 3) (pow.f64 (sqrt.f64 (tan.f64 x)) 3))
(*.f64 (*.f64 (pow.f64 (tan.f64 x) 2) -1) (tan.f64 x))
(*.f64 (*.f64 (tan.f64 x) (cbrt.f64 (pow.f64 (tan.f64 x) 4))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2))
(*.f64 (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (tan.f64 x)))
(*.f64 (*.f64 (pow.f64 (tan.f64 x) 2) (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))
(/.f64 (*.f64 (pow.f64 (tan.f64 x) 2) (sin.f64 x)) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) 2)) (cos.f64 x))
(neg.f64 (pow.f64 (tan.f64 x) 3))
(sqrt.f64 (pow.f64 (tan.f64 x) 6))
(log.f64 (exp.f64 (pow.f64 (tan.f64 x) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (tan.f64 x) 3))))
(cbrt.f64 (pow.f64 (tan.f64 x) 9))
(expm1.f64 (log1p.f64 (pow.f64 (tan.f64 x) 3)))
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(log.f64 (exp.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 eps x 1) (tan.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 eps x 1) (tan.f64 x)))))
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 eps x 1) (tan.f64 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 eps x 1) (tan.f64 x))))
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 eps x 1) (tan.f64 x))))
(exp.f64 (log.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 eps x 1) (tan.f64 x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 eps x 1) (tan.f64 x))) 1))

simplify198.0ms (1.6%)

Algorithm
egg-herbie
Rules
1360×fma-neg
926×associate-*r*
906×log-prod
824×associate-*l*
606×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
062314958
1162114536
2597814528
Stop Event
node limit
Counts
330 → 372
Calls
Call 1
Inputs
(*.f64 (pow.f64 eps 2) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))))
(*.f64 (pow.f64 eps 2) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))))
(*.f64 (pow.f64 eps 2) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))))
(*.f64 (pow.f64 eps 2) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))))
(*.f64 (pow.f64 eps 2) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))))
(*.f64 (pow.f64 eps 2) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))))
(*.f64 (pow.f64 eps 2) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))))
(*.f64 (pow.f64 eps 2) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))))
(*.f64 (pow.f64 eps 2) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))))
(*.f64 (pow.f64 eps 2) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))))
(*.f64 (pow.f64 eps 2) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))))
(*.f64 (pow.f64 eps 2) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))))
(*.f64 (pow.f64 eps 2) x)
(+.f64 (*.f64 4/3 (*.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 (pow.f64 eps 2) x))
(+.f64 (*.f64 17/15 (*.f64 (pow.f64 eps 2) (pow.f64 x 5))) (+.f64 (*.f64 4/3 (*.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 (pow.f64 eps 2) x)))
(+.f64 (*.f64 248/315 (*.f64 (pow.f64 eps 2) (pow.f64 x 7))) (+.f64 (*.f64 17/15 (*.f64 (pow.f64 eps 2) (pow.f64 x 5))) (+.f64 (*.f64 4/3 (*.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 (pow.f64 eps 2) x))))
(*.f64 (pow.f64 eps 2) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))))
(*.f64 (pow.f64 eps 2) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))))
(*.f64 (pow.f64 eps 2) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))))
(*.f64 (pow.f64 eps 2) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))))
(*.f64 (pow.f64 eps 2) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))))
(*.f64 (pow.f64 eps 2) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))))
(*.f64 (pow.f64 eps 2) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))))
(*.f64 (pow.f64 eps 2) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))))
(pow.f64 x 3)
(+.f64 (pow.f64 x 3) (pow.f64 x 5))
(+.f64 (*.f64 11/15 (pow.f64 x 7)) (+.f64 (pow.f64 x 3) (pow.f64 x 5)))
(+.f64 (*.f64 88/189 (pow.f64 x 9)) (+.f64 (*.f64 11/15 (pow.f64 x 7)) (+.f64 (pow.f64 x 3) (pow.f64 x 5))))
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))
eps
(+.f64 eps (*.f64 eps (pow.f64 x 2)))
(+.f64 eps (+.f64 (*.f64 2/3 (*.f64 eps (pow.f64 x 4))) (*.f64 eps (pow.f64 x 2))))
(+.f64 eps (+.f64 (*.f64 17/45 (*.f64 eps (pow.f64 x 6))) (+.f64 (*.f64 2/3 (*.f64 eps (pow.f64 x 4))) (*.f64 eps (pow.f64 x 2)))))
(+.f64 eps (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))
(+.f64 eps (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))
(+.f64 eps (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))
(+.f64 eps (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))
(+.f64 eps (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))
(+.f64 eps (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))
(+.f64 eps (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))
(+.f64 eps (/.f64 (*.f64 eps (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 eps (+.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 eps (+.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 eps (+.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 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 -1 (*.f64 eps (-.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 1)))
(*.f64 -1 (*.f64 eps (-.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 1)))
(*.f64 -1 (*.f64 eps (-.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 1)))
(*.f64 -1 (*.f64 eps (-.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 1)))
eps
(+.f64 eps (*.f64 eps (pow.f64 x 2)))
(+.f64 eps (+.f64 (*.f64 1/3 (*.f64 eps (pow.f64 x 4))) (*.f64 eps (pow.f64 x 2))))
(+.f64 eps (+.f64 (*.f64 2/15 (*.f64 eps (pow.f64 x 6))) (+.f64 (*.f64 1/3 (*.f64 eps (pow.f64 x 4))) (*.f64 eps (pow.f64 x 2)))))
(/.f64 (*.f64 eps (*.f64 x (sin.f64 x))) (cos.f64 x))
(+.f64 eps (/.f64 (*.f64 eps (*.f64 x (sin.f64 x))) (cos.f64 x)))
(+.f64 eps (/.f64 (*.f64 eps (*.f64 x (sin.f64 x))) (cos.f64 x)))
(+.f64 eps (/.f64 (*.f64 eps (*.f64 x (sin.f64 x))) (cos.f64 x)))
(/.f64 (*.f64 eps (*.f64 x (sin.f64 x))) (cos.f64 x))
(+.f64 eps (/.f64 (*.f64 eps (*.f64 x (sin.f64 x))) (cos.f64 x)))
(+.f64 eps (/.f64 (*.f64 eps (*.f64 x (sin.f64 x))) (cos.f64 x)))
(+.f64 eps (/.f64 (*.f64 eps (*.f64 x (sin.f64 x))) (cos.f64 x)))
(pow.f64 x 2)
(+.f64 (*.f64 -1/6 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (*.f64 -1/6 (pow.f64 x 4)) (+.f64 (*.f64 1/120 (pow.f64 x 6)) (pow.f64 x 2)))
(+.f64 (*.f64 -1/6 (pow.f64 x 4)) (+.f64 (*.f64 -1/5040 (pow.f64 x 8)) (+.f64 (*.f64 1/120 (pow.f64 x 6)) (pow.f64 x 2))))
(pow.f64 x 2)
(+.f64 (*.f64 1/3 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (*.f64 2/15 (pow.f64 x 6)) (+.f64 (*.f64 1/3 (pow.f64 x 4)) (pow.f64 x 2)))
(+.f64 (*.f64 17/315 (pow.f64 x 8)) (+.f64 (*.f64 2/15 (pow.f64 x 6)) (+.f64 (*.f64 1/3 (pow.f64 x 4)) (pow.f64 x 2))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (*.f64 eps (*.f64 x (sin.f64 eps))) (cos.f64 eps)))
(+.f64 (*.f64 eps (pow.f64 x 2)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (*.f64 eps (*.f64 x (sin.f64 eps))) (cos.f64 eps))))
(+.f64 (*.f64 1/3 (*.f64 eps (pow.f64 x 4))) (+.f64 (*.f64 eps (pow.f64 x 2)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (*.f64 eps (*.f64 x (sin.f64 eps))) (cos.f64 eps)))))
(*.f64 eps (*.f64 x (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))))
(+.f64 (*.f64 eps (*.f64 x (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 eps (*.f64 x (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 eps (*.f64 x (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(*.f64 eps (*.f64 x (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))))
(+.f64 (*.f64 eps (*.f64 x (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 eps (*.f64 x (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 eps (*.f64 x (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(*.f64 eps (+.f64 1 (/.f64 (*.f64 x (sin.f64 x)) (cos.f64 x))))
(+.f64 (*.f64 eps (+.f64 1 (/.f64 (*.f64 x (sin.f64 x)) (cos.f64 x)))) (*.f64 (pow.f64 eps 2) x))
(+.f64 (*.f64 1/3 (pow.f64 eps 3)) (+.f64 (*.f64 eps (+.f64 1 (/.f64 (*.f64 x (sin.f64 x)) (cos.f64 x)))) (*.f64 (pow.f64 eps 2) x)))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 eps 4) x)) (+.f64 (*.f64 1/3 (pow.f64 eps 3)) (+.f64 (*.f64 eps (+.f64 1 (/.f64 (*.f64 x (sin.f64 x)) (cos.f64 x)))) (*.f64 (pow.f64 eps 2) x))))
(*.f64 eps (*.f64 x (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))))
(+.f64 (*.f64 eps (*.f64 x (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 eps (*.f64 x (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 eps (*.f64 x (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(*.f64 eps (*.f64 x (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))))
(+.f64 (*.f64 eps (*.f64 x (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 eps (*.f64 x (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 eps (*.f64 x (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 (pow.f64 eps 2) (tan.f64 x)) (*.f64 (pow.f64 eps 2) (pow.f64 (tan.f64 x) 3)))
(+.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (tan.f64 x) 3)) (*.f64 (pow.f64 eps 2) (tan.f64 x)))
(+.f64 (*.f64 (*.f64 (pow.f64 eps 2) (tan.f64 x)) 1) (*.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (tan.f64 x) 3)) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 eps 2) (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3))))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 eps 2) (tan.f64 x)) 3) (pow.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (tan.f64 x) 3)) 3)) (+.f64 (*.f64 (*.f64 (pow.f64 eps 2) (tan.f64 x)) (*.f64 (pow.f64 eps 2) (tan.f64 x))) (-.f64 (*.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (tan.f64 x) 3)) (*.f64 (pow.f64 eps 2) (pow.f64 (tan.f64 x) 3))) (*.f64 (*.f64 (pow.f64 eps 2) (tan.f64 x)) (*.f64 (pow.f64 eps 2) (pow.f64 (tan.f64 x) 3))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 eps 2) (tan.f64 x)) (*.f64 (pow.f64 eps 2) (tan.f64 x))) (*.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (tan.f64 x) 3)) (*.f64 (pow.f64 eps 2) (pow.f64 (tan.f64 x) 3)))) (-.f64 (*.f64 (pow.f64 eps 2) (tan.f64 x)) (*.f64 (pow.f64 eps 2) (pow.f64 (tan.f64 x) 3))))
(/.f64 (*.f64 (pow.f64 eps 2) (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 x) 9))) (-.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 6)) (pow.f64 (tan.f64 x) 4)))
(/.f64 (*.f64 (pow.f64 eps 2) (+.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 6))) (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3)))
(/.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 x) 9)) (pow.f64 eps 2)) (-.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 6)) (pow.f64 (tan.f64 x) 4)))
(/.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 6)) (pow.f64 eps 2)) (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3)))
(pow.f64 (*.f64 (pow.f64 eps 2) (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3))) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 eps 2) (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3)))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 eps 2) (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3))) 3) 1/3)
(pow.f64 (*.f64 eps (sqrt.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3)))) 2)
(sqrt.f64 (*.f64 (pow.f64 eps 4) (+.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 6))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 eps 2) (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 eps 2) (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3))) 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 eps 2) 3) (pow.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3)) 3) (pow.f64 (pow.f64 eps 2) 3)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 eps 2) (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 eps 2) (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 eps 2) (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 eps 2) (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3)))) 1))
(fma.f64 (pow.f64 eps 2) (tan.f64 x) (*.f64 (pow.f64 eps 2) (pow.f64 (tan.f64 x) 3)))
(fma.f64 (tan.f64 x) (pow.f64 eps 2) (*.f64 (pow.f64 eps 2) (pow.f64 (tan.f64 x) 3)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (tan.f64 x) 3))) 1)
(*.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 2))
(*.f64 (pow.f64 (tan.f64 x) 3) 1)
(*.f64 (pow.f64 (tan.f64 x) 2) (tan.f64 x))
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(*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (*.f64 (cbrt.f64 (tan.f64 x)) (pow.f64 (tan.f64 x) 2)))
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(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 eps x 1) (tan.f64 x))) 2) (cbrt.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 eps x 1) (tan.f64 x))))
(*.f64 (sqrt.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 eps x 1) (tan.f64 x))) (sqrt.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 eps x 1) (tan.f64 x))))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 eps x 1)) 3) (pow.f64 (tan.f64 x) 3)) (+.f64 (*.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 eps x 1)) (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 eps x 1))) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 eps x 1)) (tan.f64 x)))))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 eps x 1)) (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 eps x 1))) (pow.f64 (tan.f64 x) 2)) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 eps x 1) (tan.f64 x)))
(pow.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 eps x 1) (tan.f64 x)) 1)
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 eps x 1) (tan.f64 x))) 3)
(pow.f64 (pow.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 eps x 1) (tan.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 eps x 1) (tan.f64 x))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 eps x 1) (tan.f64 x)) 2))
(log.f64 (exp.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 eps x 1) (tan.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 eps x 1) (tan.f64 x)))))
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 eps x 1) (tan.f64 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 eps x 1) (tan.f64 x))))
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 eps x 1) (tan.f64 x))))
(exp.f64 (log.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 eps x 1) (tan.f64 x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 eps x 1) (tan.f64 x))) 1))
Outputs
(*.f64 (pow.f64 eps 2) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))))
(*.f64 (pow.f64 eps 2) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))))
(*.f64 (pow.f64 eps 2) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))))
(*.f64 (pow.f64 eps 2) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))))
(*.f64 (pow.f64 eps 2) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))))
(*.f64 (pow.f64 eps 2) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))))
(*.f64 (pow.f64 eps 2) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))))
(*.f64 (pow.f64 eps 2) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))))
(*.f64 (pow.f64 eps 2) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))))
(*.f64 (pow.f64 eps 2) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))))
(*.f64 (pow.f64 eps 2) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))))
(*.f64 (pow.f64 eps 2) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))))
(*.f64 (pow.f64 eps 2) x)
(+.f64 (*.f64 4/3 (*.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 (pow.f64 eps 2) x))
(fma.f64 4/3 (*.f64 (pow.f64 eps 2) (pow.f64 x 3)) (*.f64 (pow.f64 eps 2) x))
(fma.f64 (pow.f64 eps 2) x (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x 3) 4/3)))
(+.f64 (*.f64 17/15 (*.f64 (pow.f64 eps 2) (pow.f64 x 5))) (+.f64 (*.f64 4/3 (*.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 (pow.f64 eps 2) x)))
(fma.f64 17/15 (*.f64 (pow.f64 eps 2) (pow.f64 x 5)) (fma.f64 4/3 (*.f64 (pow.f64 eps 2) (pow.f64 x 3)) (*.f64 (pow.f64 eps 2) x)))
(fma.f64 17/15 (*.f64 (pow.f64 eps 2) (pow.f64 x 5)) (fma.f64 (pow.f64 eps 2) x (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x 3) 4/3))))
(+.f64 (*.f64 248/315 (*.f64 (pow.f64 eps 2) (pow.f64 x 7))) (+.f64 (*.f64 17/15 (*.f64 (pow.f64 eps 2) (pow.f64 x 5))) (+.f64 (*.f64 4/3 (*.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 (pow.f64 eps 2) x))))
(fma.f64 248/315 (*.f64 (pow.f64 eps 2) (pow.f64 x 7)) (fma.f64 17/15 (*.f64 (pow.f64 eps 2) (pow.f64 x 5)) (fma.f64 4/3 (*.f64 (pow.f64 eps 2) (pow.f64 x 3)) (*.f64 (pow.f64 eps 2) x))))
(fma.f64 248/315 (*.f64 (pow.f64 eps 2) (pow.f64 x 7)) (fma.f64 17/15 (*.f64 (pow.f64 eps 2) (pow.f64 x 5)) (fma.f64 (pow.f64 eps 2) x (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x 3) 4/3)))))
(*.f64 (pow.f64 eps 2) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))))
(*.f64 (pow.f64 eps 2) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))))
(*.f64 (pow.f64 eps 2) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))))
(*.f64 (pow.f64 eps 2) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))))
(*.f64 (pow.f64 eps 2) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))))
(*.f64 (pow.f64 eps 2) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))))
(*.f64 (pow.f64 eps 2) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))))
(*.f64 (pow.f64 eps 2) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))))
(pow.f64 x 3)
(+.f64 (pow.f64 x 3) (pow.f64 x 5))
(+.f64 (*.f64 11/15 (pow.f64 x 7)) (+.f64 (pow.f64 x 3) (pow.f64 x 5)))
(fma.f64 11/15 (pow.f64 x 7) (+.f64 (pow.f64 x 3) (pow.f64 x 5)))
(+.f64 (pow.f64 x 5) (fma.f64 (pow.f64 x 7) 11/15 (pow.f64 x 3)))
(+.f64 (*.f64 88/189 (pow.f64 x 9)) (+.f64 (*.f64 11/15 (pow.f64 x 7)) (+.f64 (pow.f64 x 3) (pow.f64 x 5))))
(fma.f64 88/189 (pow.f64 x 9) (fma.f64 11/15 (pow.f64 x 7) (+.f64 (pow.f64 x 3) (pow.f64 x 5))))
(fma.f64 88/189 (pow.f64 x 9) (+.f64 (pow.f64 x 5) (fma.f64 (pow.f64 x 7) 11/15 (pow.f64 x 3))))
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))
eps
(+.f64 eps (*.f64 eps (pow.f64 x 2)))
(fma.f64 eps (pow.f64 x 2) eps)
(+.f64 eps (+.f64 (*.f64 2/3 (*.f64 eps (pow.f64 x 4))) (*.f64 eps (pow.f64 x 2))))
(+.f64 eps (fma.f64 2/3 (*.f64 eps (pow.f64 x 4)) (*.f64 eps (pow.f64 x 2))))
(+.f64 (fma.f64 eps (pow.f64 x 2) eps) (*.f64 (pow.f64 x 4) (*.f64 eps 2/3)))
(+.f64 eps (+.f64 (*.f64 17/45 (*.f64 eps (pow.f64 x 6))) (+.f64 (*.f64 2/3 (*.f64 eps (pow.f64 x 4))) (*.f64 eps (pow.f64 x 2)))))
(+.f64 eps (fma.f64 17/45 (*.f64 eps (pow.f64 x 6)) (fma.f64 2/3 (*.f64 eps (pow.f64 x 4)) (*.f64 eps (pow.f64 x 2)))))
(+.f64 (fma.f64 17/45 (*.f64 eps (pow.f64 x 6)) (*.f64 (pow.f64 x 4) (*.f64 eps 2/3))) (fma.f64 eps (pow.f64 x 2) eps))
(+.f64 eps (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
(+.f64 eps (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
(+.f64 eps (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
(+.f64 eps (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
(+.f64 eps (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
(+.f64 eps (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
(+.f64 eps (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
(+.f64 eps (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
(*.f64 -1 (*.f64 eps (-.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 1)))
(neg.f64 (*.f64 eps (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)))
(*.f64 eps (neg.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1 -1)))
(*.f64 -1 (*.f64 eps (-.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 1)))
(neg.f64 (*.f64 eps (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)))
(*.f64 eps (neg.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1 -1)))
(*.f64 -1 (*.f64 eps (-.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 1)))
(neg.f64 (*.f64 eps (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)))
(*.f64 eps (neg.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1 -1)))
(*.f64 -1 (*.f64 eps (-.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 1)))
(neg.f64 (*.f64 eps (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)))
(*.f64 eps (neg.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1 -1)))
eps
(+.f64 eps (*.f64 eps (pow.f64 x 2)))
(fma.f64 eps (pow.f64 x 2) eps)
(+.f64 eps (+.f64 (*.f64 1/3 (*.f64 eps (pow.f64 x 4))) (*.f64 eps (pow.f64 x 2))))
(+.f64 eps (fma.f64 1/3 (*.f64 eps (pow.f64 x 4)) (*.f64 eps (pow.f64 x 2))))
(+.f64 eps (fma.f64 (*.f64 eps 1/3) (pow.f64 x 4) (*.f64 eps (pow.f64 x 2))))
(+.f64 eps (+.f64 (*.f64 2/15 (*.f64 eps (pow.f64 x 6))) (+.f64 (*.f64 1/3 (*.f64 eps (pow.f64 x 4))) (*.f64 eps (pow.f64 x 2)))))
(+.f64 eps (fma.f64 2/15 (*.f64 eps (pow.f64 x 6)) (fma.f64 1/3 (*.f64 eps (pow.f64 x 4)) (*.f64 eps (pow.f64 x 2)))))
(+.f64 eps (fma.f64 (*.f64 eps (pow.f64 x 6)) 2/15 (fma.f64 (*.f64 eps 1/3) (pow.f64 x 4) (*.f64 eps (pow.f64 x 2)))))
(/.f64 (*.f64 eps (*.f64 x (sin.f64 x))) (cos.f64 x))
(*.f64 eps (*.f64 x (/.f64 (sin.f64 x) (cos.f64 x))))
(*.f64 eps (*.f64 (sin.f64 x) (/.f64 x (cos.f64 x))))
(+.f64 eps (/.f64 (*.f64 eps (*.f64 x (sin.f64 x))) (cos.f64 x)))
(+.f64 eps (*.f64 eps (*.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))))
(*.f64 eps (fma.f64 x (/.f64 (sin.f64 x) (cos.f64 x)) 1))
(+.f64 eps (/.f64 (*.f64 eps (*.f64 x (sin.f64 x))) (cos.f64 x)))
(+.f64 eps (*.f64 eps (*.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))))
(*.f64 eps (fma.f64 x (/.f64 (sin.f64 x) (cos.f64 x)) 1))
(+.f64 eps (/.f64 (*.f64 eps (*.f64 x (sin.f64 x))) (cos.f64 x)))
(+.f64 eps (*.f64 eps (*.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))))
(*.f64 eps (fma.f64 x (/.f64 (sin.f64 x) (cos.f64 x)) 1))
(/.f64 (*.f64 eps (*.f64 x (sin.f64 x))) (cos.f64 x))
(*.f64 eps (*.f64 x (/.f64 (sin.f64 x) (cos.f64 x))))
(*.f64 eps (*.f64 (sin.f64 x) (/.f64 x (cos.f64 x))))
(+.f64 eps (/.f64 (*.f64 eps (*.f64 x (sin.f64 x))) (cos.f64 x)))
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(*.f64 (sin.f64 x) (/.f64 x (cos.f64 x)))
(sqrt.f64 (pow.f64 (*.f64 x (tan.f64 x)) 2))
(fabs.f64 (*.f64 x (tan.f64 x)))
(log.f64 (pow.f64 (exp.f64 x) (tan.f64 x)))
(*.f64 x (tan.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (tan.f64 x)))))
(*.f64 x (tan.f64 x))
(cbrt.f64 (pow.f64 (*.f64 x (tan.f64 x)) 3))
(*.f64 x (tan.f64 x))
(expm1.f64 (log1p.f64 (*.f64 x (tan.f64 x))))
(+.f64 (fma.f64 x (tan.f64 x) 1) -1)
(+.f64 (*.f64 x (tan.f64 x)) 0)
(log1p.f64 (expm1.f64 (*.f64 x (tan.f64 x))))
(*.f64 x (tan.f64 x))
(exp.f64 (log.f64 (*.f64 x (tan.f64 x))))
(*.f64 x (tan.f64 x))
(exp.f64 (*.f64 (log.f64 (*.f64 x (tan.f64 x))) 1))
(*.f64 x (tan.f64 x))
(+.f64 (tan.f64 x) (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 eps x 1)))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 eps x 1) (tan.f64 x))
(+.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 eps x 1)) (tan.f64 x))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 eps x 1) (tan.f64 x))
(+.f64 (*.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 eps x 1)) 1) (tan.f64 x))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 eps x 1) (tan.f64 x))
(-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 eps x 1)) (tan.f64 x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 eps x 1) (tan.f64 x)))) 1)
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 eps x 1) (tan.f64 x))))
(-.f64 (+.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 eps x 1)) 0) (tan.f64 x))
(-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 eps x 1)) (tan.f64 x))
(*.f64 1 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 eps x 1) (tan.f64 x)))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 eps x 1) (tan.f64 x))
(*.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 eps x 1) (tan.f64 x)) 1)
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 eps x 1) (tan.f64 x))
(*.f64 (cbrt.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 eps x 1) (tan.f64 x))) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 eps x 1) (tan.f64 x))) 2))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 eps x 1) (tan.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 eps x 1) (tan.f64 x))) 2) (cbrt.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 eps x 1) (tan.f64 x))))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 eps x 1) (tan.f64 x))
(*.f64 (sqrt.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 eps x 1) (tan.f64 x))) (sqrt.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 eps x 1) (tan.f64 x))))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 eps x 1) (tan.f64 x))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 eps x 1)) 3) (pow.f64 (tan.f64 x) 3)) (+.f64 (*.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 eps x 1)) (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 eps x 1))) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 eps x 1)) (tan.f64 x)))))
(/.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 eps x 1)) 3)) (fma.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 eps x 1)) (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 eps x 1)) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 x) (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 eps x 1))))))
(/.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 eps x 1)) 3)) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (fma.f64 eps x 1) (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 eps x 1))) (*.f64 (tan.f64 x) (-.f64 (tan.f64 x) (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 eps x 1))))))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 eps x 1)) (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 eps x 1))) (pow.f64 (tan.f64 x) 2)) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 eps x 1) (tan.f64 x)))
(/.f64 (fma.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 eps x 1)) (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 eps x 1)) (neg.f64 (pow.f64 (tan.f64 x) 2))) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 eps x 1) (tan.f64 x)))
(/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (fma.f64 eps x 1) (fma.f64 eps x 1)))) (pow.f64 (tan.f64 x) 2)) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 eps x 1) (tan.f64 x)))
(pow.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 eps x 1) (tan.f64 x)) 1)
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 eps x 1) (tan.f64 x))
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 eps x 1) (tan.f64 x))) 3)
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 eps x 1) (tan.f64 x))
(pow.f64 (pow.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 eps x 1) (tan.f64 x)) 3) 1/3)
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 eps x 1) (tan.f64 x))
(pow.f64 (sqrt.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 eps x 1) (tan.f64 x))) 2)
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 eps x 1) (tan.f64 x))
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 eps x 1) (tan.f64 x)) 2))
(fabs.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 eps x 1) (tan.f64 x)))
(log.f64 (exp.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 eps x 1) (tan.f64 x))))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 eps x 1) (tan.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 eps x 1) (tan.f64 x)))))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 eps x 1) (tan.f64 x))
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 eps x 1) (tan.f64 x)) 3))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 eps x 1) (tan.f64 x))
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 eps x 1) (tan.f64 x))))
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 eps x 1) (tan.f64 x))))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 eps x 1) (tan.f64 x))
(exp.f64 (log.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 eps x 1) (tan.f64 x))))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 eps x 1) (tan.f64 x))
(exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 eps x 1) (tan.f64 x))) 1))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 eps x 1) (tan.f64 x))

eval313.0ms (2.6%)

Compiler

Compiled 17607 to 9566 computations (45.7% saved)

prune118.0ms (1%)

Pruning

16 alts after pruning (8 fresh and 8 done)

PrunedKeptTotal
New8313834
Fresh257
Picked145
Done044
Total83416850
Accuracy
100.0%
Counts
850 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
60.6%
(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)))
59.7%
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (*.f64 eps x)) (neg.f64 (tan.f64 x)))
59.6%
(pow.f64 (pow.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 1/3) 3)
24.4%
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3)
60.5%
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
98.2%
(/.f64 (sin.f64 eps) (cos.f64 eps))
60.6%
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
60.5%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
98.5%
(+.f64 (+.f64 (*.f64 x (*.f64 (tan.f64 x) eps)) eps) (*.f64 (pow.f64 eps 2) x))
99.1%
(+.f64 (+.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) eps)) (*.f64 (pow.f64 eps 2) (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3))))
98.9%
(+.f64 (*.f64 (pow.f64 (tan.f64 x) 2) eps) eps)
98.6%
(+.f64 (*.f64 (pow.f64 x 2) eps) eps)
98.9%
(+.f64 (exp.f64 (log.f64 (*.f64 (pow.f64 (tan.f64 x) 2) eps))) eps)
98.9%
(*.f64 eps (+.f64 1 (pow.f64 (pow.f64 (tan.f64 x) 6) 1/3)))
98.9%
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (log.f64 (exp.f64 (/.f64 (+.f64 1 (cos.f64 (*.f64 2 x))) 2))))))
98.2%
eps
Compiler

Compiled 791 to 465 computations (41.2% saved)

regimes44.0ms (0.4%)

Counts
34 → 1
Calls
Call 1
Inputs
eps
(+.f64 eps (*.f64 eps (pow.f64 x 2)))
(+.f64 (*.f64 (pow.f64 x 2) eps) eps)
(/.f64 (sin.f64 eps) (cos.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(*.f64 eps (+.f64 1 (pow.f64 (tan.f64 x) 2)))
(+.f64 (*.f64 (pow.f64 (tan.f64 x) 2) eps) eps)
(+.f64 (+.f64 (*.f64 x (*.f64 (tan.f64 x) eps)) eps) (*.f64 (pow.f64 eps 2) x))
(*.f64 eps (+.f64 1 (pow.f64 (pow.f64 (tan.f64 x) 6) 1/3)))
(+.f64 (*.f64 eps (+.f64 1 (/.f64 (*.f64 x (sin.f64 x)) (cos.f64 x)))) (*.f64 (pow.f64 eps 2) x))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(+.f64 (exp.f64 (log.f64 (*.f64 (pow.f64 (tan.f64 x) 2) eps))) eps)
(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)
(*.f64 eps (+.f64 1 (pow.f64 (pow.f64 (pow.f64 (tan.f64 x) 2) 3) 1/3)))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (*.f64 eps x)) (neg.f64 (tan.f64 x)))
(exp.f64 (+.f64 (log1p.f64 (pow.f64 (tan.f64 x) 2)) (log.f64 eps)))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (log.f64 (exp.f64 (/.f64 (+.f64 1 (cos.f64 (*.f64 2 x))) 2))))))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (log.f64 (exp.f64 (pow.f64 (cos.f64 x) 2))))))
(pow.f64 (cbrt.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) 3)
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (/.f64 (*.f64 x (sin.f64 eps)) (cos.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)))) (neg.f64 (tan.f64 x)))
(pow.f64 (pow.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 1/3) 3)
(+.f64 (+.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) eps)) (*.f64 (pow.f64 eps 2) (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3))))
(+.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) x) (cos.f64 x)))
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 (pow.f64 eps 2) (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3))))
(+.f64 (+.f64 (tan.f64 (+.f64 eps x)) (*.f64 (/.f64 -1 (cos.f64 x)) (sin.f64 x))) (fma.f64 (/.f64 -1 (cos.f64 x)) (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 1 (cos.f64 x)))))
(+.f64 (+.f64 eps (*.f64 eps (pow.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)))
(+.f64 (+.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) eps)) (/.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)))
(+.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 (*.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)))
(+.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (*.f64 (*.f64 (pow.f64 x 2) (sin.f64 eps)) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (cos.f64 eps)))
Outputs
(+.f64 (+.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) eps)) (*.f64 (pow.f64 eps 2) (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3))))
Calls

3 calls:

16.0ms
x
13.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
13.0ms
eps
Results
AccuracySegmentsBranch
99.1%1x
99.1%1eps
99.1%1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes35.0ms (0.3%)

Counts
25 → 1
Calls
Call 1
Inputs
eps
(+.f64 eps (*.f64 eps (pow.f64 x 2)))
(+.f64 (*.f64 (pow.f64 x 2) eps) eps)
(/.f64 (sin.f64 eps) (cos.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(*.f64 eps (+.f64 1 (pow.f64 (tan.f64 x) 2)))
(+.f64 (*.f64 (pow.f64 (tan.f64 x) 2) eps) eps)
(+.f64 (+.f64 (*.f64 x (*.f64 (tan.f64 x) eps)) eps) (*.f64 (pow.f64 eps 2) x))
(*.f64 eps (+.f64 1 (pow.f64 (pow.f64 (tan.f64 x) 6) 1/3)))
(+.f64 (*.f64 eps (+.f64 1 (/.f64 (*.f64 x (sin.f64 x)) (cos.f64 x)))) (*.f64 (pow.f64 eps 2) x))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(+.f64 (exp.f64 (log.f64 (*.f64 (pow.f64 (tan.f64 x) 2) eps))) eps)
(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)
(*.f64 eps (+.f64 1 (pow.f64 (pow.f64 (pow.f64 (tan.f64 x) 2) 3) 1/3)))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (*.f64 eps x)) (neg.f64 (tan.f64 x)))
(exp.f64 (+.f64 (log1p.f64 (pow.f64 (tan.f64 x) 2)) (log.f64 eps)))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (log.f64 (exp.f64 (/.f64 (+.f64 1 (cos.f64 (*.f64 2 x))) 2))))))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (log.f64 (exp.f64 (pow.f64 (cos.f64 x) 2))))))
(pow.f64 (cbrt.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) 3)
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (/.f64 (*.f64 x (sin.f64 eps)) (cos.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)))) (neg.f64 (tan.f64 x)))
(pow.f64 (pow.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 1/3) 3)
Outputs
(+.f64 (exp.f64 (log.f64 (*.f64 (pow.f64 (tan.f64 x) 2) eps))) eps)
Calls

3 calls:

13.0ms
x
11.0ms
eps
10.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
AccuracySegmentsBranch
98.9%1x
98.9%1eps
98.9%1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes18.0ms (0.1%)

Counts
11 → 1
Calls
Call 1
Inputs
eps
(+.f64 eps (*.f64 eps (pow.f64 x 2)))
(+.f64 (*.f64 (pow.f64 x 2) eps) eps)
(/.f64 (sin.f64 eps) (cos.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(*.f64 eps (+.f64 1 (pow.f64 (tan.f64 x) 2)))
(+.f64 (*.f64 (pow.f64 (tan.f64 x) 2) eps) eps)
(+.f64 (+.f64 (*.f64 x (*.f64 (tan.f64 x) eps)) eps) (*.f64 (pow.f64 eps 2) x))
(*.f64 eps (+.f64 1 (pow.f64 (pow.f64 (tan.f64 x) 6) 1/3)))
(+.f64 (*.f64 eps (+.f64 1 (/.f64 (*.f64 x (sin.f64 x)) (cos.f64 x)))) (*.f64 (pow.f64 eps 2) x))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
Outputs
(+.f64 (*.f64 (pow.f64 (tan.f64 x) 2) eps) eps)
Calls

3 calls:

6.0ms
x
5.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
5.0ms
eps
Results
AccuracySegmentsBranch
98.9%1x
98.9%1eps
98.9%1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes13.0ms (0.1%)

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

3 calls:

5.0ms
x
4.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
4.0ms
eps
Results
AccuracySegmentsBranch
98.9%1x
98.9%1eps
98.9%1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes12.0ms (0.1%)

Counts
5 → 1
Calls
Call 1
Inputs
eps
(+.f64 eps (*.f64 eps (pow.f64 x 2)))
(+.f64 (*.f64 (pow.f64 x 2) eps) eps)
(/.f64 (sin.f64 eps) (cos.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Outputs
(+.f64 eps (*.f64 eps (pow.f64 x 2)))
Calls

3 calls:

4.0ms
x
4.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
3.0ms
eps
Results
AccuracySegmentsBranch
98.6%1eps
98.6%1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
98.6%1x
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes5.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

2 calls:

3.0ms
x
2.0ms
eps
Results
AccuracySegmentsBranch
98.2%1x
98.2%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify5.0ms (0%)

Algorithm
egg-herbie
Rules
12×+-commutative
*-commutative
1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029212
143212
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(+.f64 (+.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) eps)) (*.f64 (pow.f64 eps 2) (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3))))
(+.f64 (exp.f64 (log.f64 (*.f64 (pow.f64 (tan.f64 x) 2) eps))) eps)
(+.f64 (*.f64 (pow.f64 (tan.f64 x) 2) eps) eps)
(*.f64 eps (+.f64 1 (pow.f64 (tan.f64 x) 2)))
(+.f64 eps (*.f64 eps (pow.f64 x 2)))
eps
Outputs
(+.f64 (+.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) eps)) (*.f64 (pow.f64 eps 2) (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3))))
(+.f64 (+.f64 eps (*.f64 eps (pow.f64 (tan.f64 x) 2))) (*.f64 (pow.f64 eps 2) (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3))))
(+.f64 (exp.f64 (log.f64 (*.f64 (pow.f64 (tan.f64 x) 2) eps))) eps)
(+.f64 eps (exp.f64 (log.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)))))
(+.f64 (*.f64 (pow.f64 (tan.f64 x) 2) eps) eps)
(+.f64 eps (*.f64 eps (pow.f64 (tan.f64 x) 2)))
(*.f64 eps (+.f64 1 (pow.f64 (tan.f64 x) 2)))
(*.f64 eps (+.f64 (pow.f64 (tan.f64 x) 2) 1))
(+.f64 eps (*.f64 eps (pow.f64 x 2)))
eps
Compiler

Compiled 66 to 46 computations (30.3% saved)

soundness1.4s (11.7%)

Rules
1154×fma-define
1154×fma-define
1120×distribute-lft-in
858×times-frac
726×unswap-sqr
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
040493
1695389
040493
1695389
0106935881
1301334098
033210215
18779577
230299383
040493
1695389
0106935881
1301334098
040259
1628251
040259
1628251
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 1016 to 603 computations (40.6% saved)

end0.0ms (0%)

preprocess172.0ms (1.4%)

Compiler

Compiled 154 to 94 computations (39% saved)

Profiling

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