2tan (problem 3.3.2)

Time bar (total: 11.1s)

analyze46.0ms (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)

sample5.6s (50.5%)

Results
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Bogosity

preprocess145.0ms (1.3%)

Algorithm
egg-herbie
Rules
308×fma-neg
118×fma-define
98×sub-neg
78×cancel-sign-sub-inv
70×associate--r+
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2260-1(-1.808421303817301e-21 2.5587437273001607e-23)(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
00-0-x
00-0-(tan.f64 (+.f64 x eps))
00-0-(+.f64 x eps)
00-0-(tan.f64 x)
00-0-eps
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027226
149210
2101210
3201210
4378210
5481210
6638210
7720210
8762210
9768210
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (neg.f64 x) eps)) (tan.f64 (neg.f64 x)))
(-.f64 (tan.f64 (+.f64 x (neg.f64 eps))) (tan.f64 x))
(neg.f64 (-.f64 (tan.f64 (+.f64 (neg.f64 x) eps)) (tan.f64 (neg.f64 x))))
(neg.f64 (-.f64 (tan.f64 (+.f64 x (neg.f64 eps))) (tan.f64 x)))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 eps))
Outputs
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (neg.f64 x) eps)) (tan.f64 (neg.f64 x)))
(-.f64 (tan.f64 (+.f64 eps (neg.f64 x))) (neg.f64 (tan.f64 x)))
(+.f64 (tan.f64 x) (tan.f64 (-.f64 eps x)))
(-.f64 (tan.f64 (+.f64 x (neg.f64 eps))) (tan.f64 x))
(-.f64 (tan.f64 (-.f64 x eps)) (tan.f64 x))
(neg.f64 (-.f64 (tan.f64 (+.f64 (neg.f64 x) eps)) (tan.f64 (neg.f64 x))))
(-.f64 (tan.f64 (-.f64 x eps)) (tan.f64 x))
(neg.f64 (-.f64 (tan.f64 (+.f64 x (neg.f64 eps))) (tan.f64 x)))
(-.f64 (tan.f64 (+.f64 eps (neg.f64 x))) (neg.f64 (tan.f64 x)))
(+.f64 (tan.f64 x) (tan.f64 (-.f64 eps x)))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 eps))
Compiler

Compiled 51 to 22 computations (56.9% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

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

Compiled 9 to 6 computations (33.3% saved)

localize32.0ms (0.3%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
100.0%
(tan.f64 (+.f64 x eps))
63.3%
(-.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))
3.0ms
x
@-inf
(-.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))

rewrite222.0ms (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))

simplify124.0ms (1.1%)

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)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(+.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 -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))))
(+.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 -1 (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 -1/2 (/.f64 (*.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 1/6 (/.f64 (*.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 (sin.f64 x) (+.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))))))) (cos.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 (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 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (*.f64 x (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 x (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.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 1/6 (+.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 x (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.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 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))
(/.f64 (sin.f64 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 (sin.f64 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 (/.f64 (sin.f64 x) (cos.f64 x)) (/.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 -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 (sin.f64 x) (cos.f64 x)) (/.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 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))
(/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))
(/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))
(/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))
(+.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))
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)))
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(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)))
(/.f64 1 (/.f64 (fma.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) (pow.f64 (tan.f64 (+.f64 eps x)) 2)) (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3))))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3)) (fma.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) (pow.f64 (tan.f64 (+.f64 eps x)) 2)))
(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)))
(/.f64 1 (/.f64 (fma.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) (pow.f64 (tan.f64 (+.f64 eps x)) 2)) (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3))))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3)) (fma.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) (pow.f64 (tan.f64 (+.f64 eps x)) 2)))
(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)))
(*.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (pow.f64 (tan.f64 x) 2)) (/.f64 1 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (pow.f64 (tan.f64 x) 2)) (+.f64 (tan.f64 (+.f64 eps 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 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x)))
(*.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (pow.f64 (tan.f64 x) 2)) (/.f64 1 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (pow.f64 (tan.f64 x) 2)) (+.f64 (tan.f64 (+.f64 eps 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))) (+.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)))
(*.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (pow.f64 (tan.f64 x) 2)) (/.f64 1 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (pow.f64 (tan.f64 x) 2)) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 (+.f64 x eps)))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(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)))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(fma.f64 (sqrt.f64 (neg.f64 (tan.f64 x))) (sqrt.f64 (neg.f64 (tan.f64 x))) (tan.f64 (+.f64 x eps)))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(fma.f64 -1 (tan.f64 x) (tan.f64 (+.f64 x eps)))
(-.f64 (tan.f64 (+.f64 eps x)) (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 (tan.f64 x)) 1 (tan.f64 x)))
(-.f64 (tan.f64 (+.f64 eps x)) (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)))
(-.f64 (tan.f64 (+.f64 eps x)) (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)))
(-.f64 (tan.f64 (+.f64 eps 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 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) 1)
(expm1.f64 (log1p.f64 (tan.f64 (+.f64 eps x))))
(*.f64 (tan.f64 (+.f64 x eps)) 1)
(tan.f64 (+.f64 eps x))
(*.f64 (sin.f64 (+.f64 x eps)) (/.f64 1 (cos.f64 (+.f64 x eps))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 1 (tan.f64 (+.f64 x eps)))
(tan.f64 (+.f64 eps x))
(*.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2))
(tan.f64 (+.f64 eps x))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2) (cbrt.f64 (tan.f64 (+.f64 x eps))))
(tan.f64 (+.f64 eps x))
(*.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(tan.f64 (+.f64 eps x))
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 1 (/.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 x eps))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (neg.f64 (sin.f64 (+.f64 x eps))) (neg.f64 (cos.f64 (+.f64 x eps))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (neg.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(pow.f64 (tan.f64 (+.f64 x eps)) 1)
(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))

eval75.0ms (0.7%)

Compiler

Compiled 5607 to 2607 computations (53.5% saved)

prune35.0ms (0.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1807187
Fresh000
Picked011
Done000
Total1808188
Accuracy
100.0%
Counts
188 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
58.6%
(fma.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (neg.f64 (cbrt.f64 (tan.f64 x))) (tan.f64 (+.f64 x eps)))
63.3%
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)
63.3%
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
98.7%
(/.f64 (sin.f64 eps) (cos.f64 eps))
63.3%
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
63.3%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
99.4%
(+.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)))
99.5%
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
Compiler

Compiled 245 to 164 computations (33.1% saved)

localize156.0ms (1.4%)

Localize:

Found 15 expressions with local error:

NewAccuracyProgram
100.0%
(sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
100.0%
(tan.f64 (+.f64 x eps))
99.1%
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)
63.3%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
100.0%
(tan.f64 (+.f64 x eps))
99.0%
(cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
98.9%
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
63.3%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
100.0%
(sin.f64 (+.f64 x eps))
100.0%
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))
63.3%
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
100.0%
(pow.f64 (cos.f64 x) 2)
100.0%
(/.f64 (pow.f64 (sin.f64 x) 2) (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)
Compiler

Compiled 172 to 51 computations (70.3% saved)

series84.0ms (0.8%)

Counts
11 → 168
Calls

57 calls:

TimeVariablePointExpression
9.0ms
x
@-inf
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
7.0ms
x
@0
(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)
4.0ms
eps
@0
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
4.0ms
eps
@inf
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)

rewrite243.0ms (2.2%)

Algorithm
batch-egg-rewrite
Rules
1219×log1p-expm1-u
256×associate-*r*
206×associate-*l*
199×expm1-log1p-u
188×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030301
1463263
26071263
Stop Event
node limit
Counts
11 → 378
Calls
Call 1
Inputs
(pow.f64 (sin.f64 x) 2)
(*.f64 eps (+.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))
(pow.f64 (cos.f64 x) 2)
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))
(sin.f64 (+.f64 x eps))
(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 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)
(sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
Outputs
(-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 x) 2))) 1)
(*.f64 (sin.f64 x) (sin.f64 x))
(*.f64 (pow.f64 (sin.f64 x) 2) 1)
(*.f64 1 (pow.f64 (sin.f64 x) 2))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (pow.f64 (sin.f64 x) 4)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (sin.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 x)))
(*.f64 (*.f64 (sin.f64 x) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(*.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)))
(/.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 (log.f64 (pow.f64 (sin.f64 x) 2)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 x) 2)) 1))
(+.f64 eps (*.f64 eps (pow.f64 (tan.f64 x) 2)))
(+.f64 eps (*.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) 1))
(+.f64 (*.f64 eps (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 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 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 eps (+.f64 1 (pow.f64 (pow.f64 (tan.f64 x) 2) 3))) (+.f64 1 (-.f64 (pow.f64 (pow.f64 (tan.f64 x) 2) 2) (pow.f64 (tan.f64 x) 2))))
(/.f64 (*.f64 eps (-.f64 1 (pow.f64 (pow.f64 (tan.f64 x) 2) 2))) (-.f64 1 (pow.f64 (tan.f64 x) 2)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (pow.f64 (tan.f64 x) 2) 3)) eps) (+.f64 1 (-.f64 (pow.f64 (pow.f64 (tan.f64 x) 2) 2) (pow.f64 (tan.f64 x) 2))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (tan.f64 x) 2) 2)) eps) (-.f64 1 (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 (+.f64 1 (pow.f64 (tan.f64 x) 2))) eps))
(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 (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 eps (pow.f64 (tan.f64 x) 2)))
(fma.f64 1 eps (*.f64 eps (pow.f64 (tan.f64 x) 2)))
(fma.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 eps) (*.f64 eps (pow.f64 (tan.f64 x) 2)))
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (*.f64 eps (pow.f64 (tan.f64 x) 2)))
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(/.f64 1 (/.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))) (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (tan.f64 x) 3))))
(/.f64 1 (/.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (pow.f64 (tan.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (tan.f64 x) 3)) (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (pow.f64 (tan.f64 x) 2)) (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))
(/.f64 (-.f64 (cos.f64 x) (*.f64 (/.f64 1 (tan.f64 (+.f64 x eps))) (sin.f64 x))) (*.f64 (/.f64 1 (tan.f64 (+.f64 x eps))) (cos.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 (-.f64 (*.f64 (neg.f64 (sin.f64 (+.f64 x eps))) (cos.f64 x)) (*.f64 (neg.f64 (cos.f64 (+.f64 x eps))) (sin.f64 x))) (*.f64 (neg.f64 (cos.f64 (+.f64 x eps))) (cos.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (tan.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (pow.f64 (tan.f64 x) 2))) (neg.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))
(/.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (neg.f64 (tan.f64 x)) 3)) (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (-.f64 (*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x))) (*.f64 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x))))))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x)))) (-.f64 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x))))
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 1))
(fma.f64 1 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
(fma.f64 (sin.f64 (+.f64 x eps)) (/.f64 1 (cos.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2) (cbrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))
(fma.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))) 1)
(*.f64 1 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(*.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/6))
(*.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 1)
(*.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/4) (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/4))
(*.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/6) (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(*.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2) 1/2))
(*.f64 (pow.f64 1 3/2) (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) 2) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) 3/2))
(*.f64 (pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/6) 3/2) (pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/6) 3/2))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2) 1/2) (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/6))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3/4) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3/4))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (tan.f64 x) 3))) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (pow.f64 (tan.f64 x) 2))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))
(pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/2)
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3/2)
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 1)
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3/2) 1/3)
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/4) 2)
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/6) 3)
(fabs.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))))
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) 3/2))
(exp.f64 (*.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) 1))

simplify378.0ms (3.4%)

Algorithm
egg-herbie
Rules
1164×fma-neg
1140×fma-define
824×*-commutative
528×+-commutative
454×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
09344295001130
1252732717
2760632717
Stop Event
node limit
Counts
546 → 498
Calls
Call 1
Inputs
(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)))))
(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))))
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 4))))
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -2/45 (pow.f64 x 6)) (*.f64 1/3 (pow.f64 x 4)))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (*.f64 (pow.f64 x 2) (*.f64 (sin.f64 eps) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (cos.f64 eps))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 x 3) (+.f64 1/2 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (*.f64 (pow.f64 x 2) (*.f64 (sin.f64 eps) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (cos.f64 eps)))))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(+.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 -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))))
(+.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 -1 (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 -1/2 (/.f64 (*.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 1/6 (/.f64 (*.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 (sin.f64 x) (+.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))))))) (cos.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 (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 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (*.f64 x (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 x (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.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 1/6 (+.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 x (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.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 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))
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(sqrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 1))
(fma.f64 1 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
(fma.f64 (sin.f64 (+.f64 x eps)) (/.f64 1 (cos.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2) (cbrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))
(fma.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))) 1)
(*.f64 1 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(*.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/6))
(*.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 1)
(*.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/4) (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/4))
(*.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/6) (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(*.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2) 1/2))
(*.f64 (pow.f64 1 3/2) (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) 2) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) 3/2))
(*.f64 (pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/6) 3/2) (pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/6) 3/2))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2) 1/2) (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/6))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3/4) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3/4))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (tan.f64 x) 3))) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (pow.f64 (tan.f64 x) 2))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))
(pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/2)
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3/2)
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 1)
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3/2) 1/3)
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/4) 2)
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/6) 3)
(fabs.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))))
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) 3/2))
(exp.f64 (*.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) 1))
Outputs
(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)))
(+.f64 eps (*.f64 (pow.f64 x 2) eps))
(fma.f64 (pow.f64 x 2) eps 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 (pow.f64 x 4) eps) (*.f64 (pow.f64 x 2) eps)))
(+.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 (pow.f64 x 6) eps) (fma.f64 2/3 (*.f64 (pow.f64 x 4) eps) (*.f64 (pow.f64 x 2) eps))))
(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))))
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 1 (-.f64 (*.f64 (pow.f64 x 4) 1/3) (pow.f64 x 2)))
(+.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 1 (-.f64 (fma.f64 (pow.f64 x 6) -2/45 (*.f64 (pow.f64 x 4) 1/3)) (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 (sin.f64 eps) (cos.f64 eps)) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (*.f64 (pow.f64 x 2) (*.f64 (sin.f64 eps) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (cos.f64 eps))))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 (pow.f64 x 2) (*.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 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 (pow.f64 x 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 x 3) (+.f64 1/2 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (*.f64 (pow.f64 x 2) (*.f64 (sin.f64 eps) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (cos.f64 eps)))))
(fma.f64 -1 (*.f64 (pow.f64 x 3) (+.f64 1/2 (fma.f64 -1 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 (cos.f64 eps) 2))) (fma.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/6))))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 (pow.f64 x 2) (*.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 (fma.f64 (pow.f64 x 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (fma.f64 (neg.f64 (pow.f64 x 3)) (+.f64 1/2 (-.f64 (fma.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) -1/2 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/6)) (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (pow.f64 (cos.f64 eps) 2))))) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 eps (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)))
(fma.f64 eps (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (/.f64 (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) (cos.f64 x)))))
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (pow.f64 eps 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (sin.f64 x) (cos.f64 x)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x))))
(fma.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 1/6 (fma.f64 -1 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2))) (fma.f64 -1/2 (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))) (fma.f64 eps (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (/.f64 (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) (cos.f64 x))))))
(-.f64 (fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (pow.f64 eps 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (pow.f64 eps 3) (+.f64 1/6 (-.f64 (fma.f64 -1/2 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2)))))))
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(*.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/6) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)))
(*.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/6) (fabs.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3/4) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3/4))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3/2)
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (tan.f64 x) 3))) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (tan.f64 x) 3))) (sqrt.f64 (fma.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (pow.f64 (tan.f64 (+.f64 x eps)) 2))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (pow.f64 (tan.f64 x) 2))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))
(pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/2)
(sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3/2)
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 1)
(sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3/2) 1/3)
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3/2))
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/4) 2)
(sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/6) 3)
(fabs.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))))
(sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) 3/2))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3/2)
(exp.f64 (*.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 1/2))
(sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) 1))
(sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))

eval608.0ms (5.5%)

Compiler

Compiled 39976 to 20413 computations (48.9% saved)

prune149.0ms (1.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New124241246
Fresh112
Picked325
Done011
Total124681254
Accuracy
100.0%
Counts
1254 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
58.6%
(fma.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (neg.f64 (cbrt.f64 (tan.f64 x))) (tan.f64 (+.f64 x eps)))
63.3%
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)
63.3%
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
62.6%
(-.f64 (pow.f64 (/.f64 1 (tan.f64 (+.f64 x eps))) -1) (tan.f64 x))
63.3%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
99.5%
(+.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) eps)
99.1%
(+.f64 eps (*.f64 (pow.f64 x 2) eps))
98.7%
eps
Compiler

Compiled 135 to 94 computations (30.4% saved)

localize130.0ms (1.2%)

Localize:

Found 12 expressions with local error:

NewAccuracyProgram
100.0%
(tan.f64 (+.f64 x eps))
99.2%
(pow.f64 (cbrt.f64 (tan.f64 x)) 2)
99.0%
(cbrt.f64 (tan.f64 x))
62.2%
(fma.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (neg.f64 (cbrt.f64 (tan.f64 x))) (tan.f64 (+.f64 x eps)))
100.0%
(tan.f64 (+.f64 x eps))
99.6%
(/.f64 1 (tan.f64 (+.f64 x eps)))
99.5%
(pow.f64 (/.f64 1 (tan.f64 (+.f64 x eps))) -1)
63.3%
(-.f64 (pow.f64 (/.f64 1 (tan.f64 (+.f64 x eps))) -1) (tan.f64 x))
100.0%
(pow.f64 x 2)
99.8%
(*.f64 (pow.f64 x 2) eps)
100.0%
(pow.f64 (tan.f64 x) 2)
99.9%
(*.f64 eps (pow.f64 (tan.f64 x) 2))
Compiler

Compiled 121 to 48 computations (60.3% saved)

series81.0ms (0.7%)

Counts
10 → 172
Calls

48 calls:

TimeVariablePointExpression
21.0ms
eps
@0
(-.f64 (pow.f64 (/.f64 1 (tan.f64 (+.f64 x eps))) -1) (tan.f64 x))
5.0ms
x
@0
(-.f64 (pow.f64 (/.f64 1 (tan.f64 (+.f64 x eps))) -1) (tan.f64 x))
3.0ms
eps
@0
(*.f64 eps (pow.f64 (tan.f64 x) 2))
2.0ms
x
@0
(pow.f64 (/.f64 1 (tan.f64 (+.f64 x eps))) -1)
2.0ms
x
@-inf
(fma.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (neg.f64 (cbrt.f64 (tan.f64 x))) (tan.f64 (+.f64 x eps)))

rewrite168.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
939×log1p-expm1-u
866×expm1-log1p-u
246×associate-*r*
162×pow1
160×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026232
1378196
25083196
Stop Event
node limit
Counts
10 → 269
Calls
Call 1
Inputs
(*.f64 eps (pow.f64 (tan.f64 x) 2))
(pow.f64 (tan.f64 x) 2)
(*.f64 (pow.f64 x 2) eps)
(pow.f64 x 2)
(-.f64 (pow.f64 (/.f64 1 (tan.f64 (+.f64 x eps))) -1) (tan.f64 x))
(pow.f64 (/.f64 1 (tan.f64 (+.f64 x eps))) -1)
(/.f64 1 (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)))
(cbrt.f64 (tan.f64 x))
(pow.f64 (cbrt.f64 (tan.f64 x)) 2)
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)))) 1)
(pow.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2))) 3)
(pow.f64 (pow.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) 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 (pow.f64 (tan.f64 x) 2)) eps))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)))))
(cbrt.f64 (pow.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) 3))
(cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (pow.f64 (tan.f64 x) 2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (tan.f64 x) 2) 3) (pow.f64 eps 3)))
(expm1.f64 (log1p.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2))))
(log1p.f64 (expm1.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2))))
(exp.f64 (log.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2))) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (tan.f64 x) 2))) 1)
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 (pow.f64 (tan.f64 x) 2) 1)
(*.f64 1 (pow.f64 (tan.f64 x) 2))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (pow.f64 (cbrt.f64 (tan.f64 x)) 4))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 4) (pow.f64 (cbrt.f64 (tan.f64 x)) 2))
(*.f64 (sqrt.f64 (tan.f64 x)) (*.f64 (sqrt.f64 (tan.f64 x)) (tan.f64 x)))
(*.f64 (*.f64 (tan.f64 x) (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 4) 1) (pow.f64 (cbrt.f64 (tan.f64 x)) 2))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 4) (cbrt.f64 (tan.f64 x))) (cbrt.f64 (tan.f64 x)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 4) (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 4))) (pow.f64 (cbrt.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 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (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))
(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 (pow.f64 (tan.f64 x) 2) 3))
(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 (exp.f64 (log1p.f64 (*.f64 eps (pow.f64 x 2)))) 1)
(pow.f64 (*.f64 eps (pow.f64 x 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 eps (pow.f64 x 2))) 3)
(pow.f64 (pow.f64 (*.f64 eps (pow.f64 x 2)) 3) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 eps)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 4) (pow.f64 eps 2)))
(log.f64 (pow.f64 (exp.f64 eps) (pow.f64 x 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (pow.f64 x 2)))))
(cbrt.f64 (pow.f64 (*.f64 eps (pow.f64 x 2)) 3))
(cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (pow.f64 x 2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 2) 3) (pow.f64 eps 3)))
(expm1.f64 (log1p.f64 (*.f64 eps (pow.f64 x 2))))
(log1p.f64 (expm1.f64 (*.f64 eps (pow.f64 x 2))))
(exp.f64 (log.f64 (*.f64 eps (pow.f64 x 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (pow.f64 x 2))) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x 2))) 1)
(*.f64 x x)
(*.f64 (pow.f64 x 2) 1)
(*.f64 1 (pow.f64 x 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) x))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x))
(*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(sqrt.f64 (pow.f64 x 4))
(log.f64 (exp.f64 (pow.f64 x 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x 2))))
(cbrt.f64 (pow.f64 (pow.f64 x 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 x 2)))
(log1p.f64 (expm1.f64 (pow.f64 x 2)))
(exp.f64 (*.f64 2 (log.f64 x)))
(exp.f64 (*.f64 (*.f64 2 (log.f64 x)) 1))
(+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))
(+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(+.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (fma.f64 (tan.f64 x) 1 (tan.f64 x)))
(+.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (fma.f64 (cbrt.f64 (tan.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x)))
(+.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x)))
(*.f64 1 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))))
(*.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) 1)
(*.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))) (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))) 2) (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))))
(*.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) 2) (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))))
(*.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))))
(*.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))))))
(*.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 eps x))) (sqrt.f64 (tan.f64 x))) (-.f64 (sqrt.f64 (tan.f64 (+.f64 eps x))) (sqrt.f64 (tan.f64 x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))))) (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3))))
(/.f64 1 (/.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (pow.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) 2)))
(/.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) 2) (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3)) (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))))))
(/.f64 (+.f64 (cos.f64 x) (*.f64 (/.f64 1 (tan.f64 (+.f64 eps x))) (sin.f64 x))) (*.f64 (/.f64 1 (tan.f64 (+.f64 eps x))) (cos.f64 x)))
(/.f64 (-.f64 (cos.f64 x) (*.f64 (/.f64 1 (tan.f64 (+.f64 eps x))) (sin.f64 x))) (*.f64 (/.f64 1 (tan.f64 (+.f64 eps x))) (cos.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))))))
(/.f64 (neg.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) 2)) (neg.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))))
(/.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3)) (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))))))
(/.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 (+.f64 eps x)) 3)) (+.f64 (pow.f64 (tan.f64 x) 2) (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))))))
(/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 (+.f64 eps x)) 2)) (-.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))))
(pow.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) 1)
(pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))) 3)
(pow.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))) 2)
(sqrt.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) 2))
(log.f64 (exp.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))))))
(cbrt.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) 3))
(expm1.f64 (log1p.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))))
(log1p.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))))
(exp.f64 (log.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))) 1))
(fma.f64 1 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (cbrt.f64 (tan.f64 x)) (tan.f64 (+.f64 eps x)))
(fma.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 eps x))) 2) (cbrt.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
(fma.f64 (sqrt.f64 (tan.f64 (+.f64 eps x))) (sqrt.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 eps x)))) 1)
(*.f64 1 (tan.f64 (+.f64 eps x)))
(*.f64 -1 (neg.f64 (tan.f64 (+.f64 eps x))))
(*.f64 (tan.f64 (+.f64 eps x)) 1)
(*.f64 (sin.f64 (+.f64 eps x)) (/.f64 1 (cos.f64 (+.f64 eps x))))
(*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (cbrt.f64 (tan.f64 (+.f64 eps x))) (pow.f64 (cbrt.f64 (tan.f64 (+.f64 eps x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 eps x))) 2) (cbrt.f64 (tan.f64 (+.f64 eps x))))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 eps x))) 2) (/.f64 (cbrt.f64 (tan.f64 (+.f64 eps x))) 1))
(*.f64 (sqrt.f64 (tan.f64 (+.f64 eps x))) (sqrt.f64 (tan.f64 (+.f64 eps x))))
(*.f64 (sqrt.f64 (tan.f64 (+.f64 eps x))) (/.f64 (sqrt.f64 (tan.f64 (+.f64 eps x))) 1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 eps x)) -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 (+.f64 eps x)))) -1))
(*.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 eps x)) -1/2) -1) (pow.f64 (pow.f64 (tan.f64 (+.f64 eps x)) -1/2) -1))
(/.f64 1 (/.f64 1 (tan.f64 (+.f64 eps x))))
(/.f64 1 (/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 (+.f64 eps x))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 1 (/.f64 (/.f64 1 (tan.f64 (+.f64 eps x))) 1))
(/.f64 -1 (neg.f64 (/.f64 1 (tan.f64 (+.f64 eps x)))))
(/.f64 (tan.f64 (+.f64 eps x)) 1)
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (neg.f64 (tan.f64 (+.f64 eps x))) -1)
(/.f64 (sqrt.f64 (tan.f64 (+.f64 eps x))) (pow.f64 (tan.f64 (+.f64 eps x)) -1/2))
(/.f64 (neg.f64 (sin.f64 (+.f64 eps x))) (neg.f64 (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 1 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 eps x)) -2))) (/.f64 1 (cbrt.f64 (tan.f64 (+.f64 eps x)))))
(sqrt.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2))
(log.f64 (exp.f64 (tan.f64 (+.f64 eps x))))
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 (+.f64 eps x)))))
(cbrt.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3))
(expm1.f64 (log1p.f64 (tan.f64 (+.f64 eps x))))
(log1p.f64 (expm1.f64 (tan.f64 (+.f64 eps x))))
(exp.f64 (log.f64 (tan.f64 (+.f64 eps x))))
(exp.f64 (*.f64 (log.f64 (tan.f64 (+.f64 eps x))) 1))
(tan.f64 (+.f64 eps x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (tan.f64 (+.f64 eps x))))) 1)
(*.f64 1 (/.f64 1 (tan.f64 (+.f64 eps x))))
(*.f64 (/.f64 1 (tan.f64 (+.f64 eps x))) 1)
(*.f64 -1 (/.f64 1 (neg.f64 (tan.f64 (+.f64 eps x)))))
(*.f64 (/.f64 1 (cbrt.f64 (tan.f64 (+.f64 eps x)))) (cbrt.f64 (pow.f64 (tan.f64 (+.f64 eps x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 eps x)) -2)) (/.f64 1 (cbrt.f64 (tan.f64 (+.f64 eps x)))))
(*.f64 (pow.f64 (tan.f64 (+.f64 eps x)) -1/2) (pow.f64 (tan.f64 (+.f64 eps x)) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 eps x))) 2) -1) (pow.f64 (cbrt.f64 (tan.f64 (+.f64 eps x))) -1))
(*.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 eps x))) -1) (pow.f64 (sqrt.f64 (tan.f64 (+.f64 eps x))) -1))
(*.f64 (/.f64 1 (sin.f64 (+.f64 eps x))) (cos.f64 (+.f64 eps x)))
(*.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(pow.f64 (/.f64 1 (tan.f64 (+.f64 eps x))) 1)
(pow.f64 (tan.f64 (+.f64 eps x)) -1)
(pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 (+.f64 eps x)))) 3)
(pow.f64 (pow.f64 (/.f64 1 (tan.f64 (+.f64 eps x))) 3) 1/3)
(pow.f64 (pow.f64 (tan.f64 (+.f64 eps x)) -1/2) 2)
(neg.f64 (/.f64 -1 (tan.f64 (+.f64 eps x))))
(sqrt.f64 (pow.f64 (tan.f64 (+.f64 eps x)) -2))
(log.f64 (exp.f64 (/.f64 1 (tan.f64 (+.f64 eps x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (tan.f64 (+.f64 eps x))))))
(cbrt.f64 (pow.f64 (/.f64 1 (tan.f64 (+.f64 eps x))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (tan.f64 (+.f64 eps x)))))
(log1p.f64 (expm1.f64 (/.f64 1 (tan.f64 (+.f64 eps x)))))
(exp.f64 (neg.f64 (log.f64 (tan.f64 (+.f64 eps x)))))
(exp.f64 (*.f64 (log.f64 (tan.f64 (+.f64 eps x))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (tan.f64 (+.f64 eps x)))) 1))
(+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))
(+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(+.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (fma.f64 (tan.f64 x) 1 (tan.f64 x)))
(+.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (fma.f64 (cbrt.f64 (tan.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x)))
(+.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x)))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))))) 1)
(-.f64 (/.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))))) (/.f64 (pow.f64 (tan.f64 x) 3) (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))))))
(-.f64 (/.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))) (/.f64 (pow.f64 (tan.f64 x) 2) (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))))
(*.f64 1 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))))
(*.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) 1)
(*.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))) (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))) 2) (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))))
(*.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) 2) (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))))
(*.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))))
(*.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))))))
(*.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 eps x))) (sqrt.f64 (tan.f64 x))) (-.f64 (sqrt.f64 (tan.f64 (+.f64 eps x))) (sqrt.f64 (tan.f64 x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))))) (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3))))
(/.f64 1 (/.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (pow.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) 2)))
(/.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) 2) (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3)) (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))))))
(/.f64 (+.f64 (cos.f64 x) (*.f64 (/.f64 1 (tan.f64 (+.f64 eps x))) (sin.f64 x))) (*.f64 (/.f64 1 (tan.f64 (+.f64 eps x))) (cos.f64 x)))
(/.f64 (-.f64 (cos.f64 x) (*.f64 (/.f64 1 (tan.f64 (+.f64 eps x))) (sin.f64 x))) (*.f64 (/.f64 1 (tan.f64 (+.f64 eps x))) (cos.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))))))
(/.f64 (neg.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) 2)) (neg.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))))
(/.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3)) (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))))))
(/.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 (+.f64 eps x)) 3)) (+.f64 (pow.f64 (tan.f64 x) 2) (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))))))
(/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 (+.f64 eps x)) 2)) (-.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))))
(pow.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) 1)
(pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))) 3)
(pow.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))) 2)
(sqrt.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) 2))
(log.f64 (exp.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))))))
(cbrt.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) 3))
(expm1.f64 (log1p.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))))
(log1p.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))))
(exp.f64 (log.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))) 1))
(+.f64 0 (cbrt.f64 (tan.f64 x)))
(-.f64 0 (cbrt.f64 (tan.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (tan.f64 x)))) 1)
(*.f64 1 (cbrt.f64 (tan.f64 x)))
(*.f64 -1 (cbrt.f64 (tan.f64 x)))
(*.f64 (cbrt.f64 (tan.f64 x)) 1)
(*.f64 (cbrt.f64 (tan.f64 x)) -1)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 x))) 2) (cbrt.f64 (cbrt.f64 (tan.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 x))) 2) (neg.f64 (cbrt.f64 (cbrt.f64 (tan.f64 x)))))
(*.f64 (cbrt.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 x))) 2))
(*.f64 (pow.f64 (tan.f64 x) 1/6) (pow.f64 (tan.f64 x) 1/6))
(*.f64 (pow.f64 (tan.f64 x) 1/6) (neg.f64 (pow.f64 (tan.f64 x) 1/6)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (tan.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (tan.f64 x)) 1/3) (pow.f64 (sqrt.f64 (tan.f64 x)) 1/3))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 x))) 2)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (tan.f64 x))))
(*.f64 (neg.f64 (pow.f64 (tan.f64 x) 1/6)) (pow.f64 (tan.f64 x) 1/6))
(*.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (tan.f64 x))))
(*.f64 (*.f64 -1 (pow.f64 (tan.f64 x) 1/6)) (pow.f64 (tan.f64 x) 1/6))
(/.f64 (tan.f64 x) (+.f64 0 (+.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (*.f64 0 (cbrt.f64 (tan.f64 x))))))
(/.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (cos.f64 x)))
(/.f64 (-.f64 0 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (tan.f64 x)))
(pow.f64 (tan.f64 x) 1/3)
(pow.f64 (cbrt.f64 (tan.f64 x)) 1)
(pow.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) 1/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 x))) 3)
(pow.f64 (pow.f64 (tan.f64 x) 1/6) 2)
(neg.f64 (cbrt.f64 (tan.f64 x)))
(sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2))
(fabs.f64 (cbrt.f64 (tan.f64 x)))
(log.f64 (exp.f64 (cbrt.f64 (tan.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (tan.f64 x)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (tan.f64 x))))
(log1p.f64 (expm1.f64 (cbrt.f64 (tan.f64 x))))
(exp.f64 (log.f64 (cbrt.f64 (tan.f64 x))))
(exp.f64 (*.f64 (log.f64 (tan.f64 x)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (tan.f64 x))) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2))) 1)
(*.f64 1 (pow.f64 (cbrt.f64 (tan.f64 x)) 2))
(*.f64 -1 (pow.f64 (cbrt.f64 (tan.f64 x)) 2))
(*.f64 (cbrt.f64 (tan.f64 x)) (cbrt.f64 (tan.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) 1)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 x))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 4)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 x))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (tan.f64 x))) (cbrt.f64 (tan.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 x))) 2))
(*.f64 (sqrt.f64 (tan.f64 x)) (pow.f64 (tan.f64 x) 1/6))
(*.f64 (pow.f64 (tan.f64 x) 1/6) (*.f64 (pow.f64 (tan.f64 x) 1/6) (cbrt.f64 (tan.f64 x))))
(*.f64 (*.f64 (cbrt.f64 (tan.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (tan.f64 x))))
(neg.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2))
(sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 4))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2))))
(cbrt.f64 (pow.f64 (tan.f64 x) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)))
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (tan.f64 x)))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (tan.f64 x)))) 1))

simplify239.0ms (2.2%)

Algorithm
egg-herbie
Rules
1230×associate-*r*
1114×associate-*l*
856×fma-define
606×distribute-rgt-in
594×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
075232808
1206930928
Stop Event
node limit
Counts
441 → 393
Calls
Call 1
Inputs
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.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))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(pow.f64 x 2)
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(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))))) 1)
(-.f64 (/.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))))) (/.f64 (pow.f64 (tan.f64 x) 3) (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))))))
(-.f64 (/.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))) (/.f64 (pow.f64 (tan.f64 x) 2) (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))))
(*.f64 1 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))))
(*.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) 1)
(*.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))) (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))) 2) (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))))
(*.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) 2) (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))))
(*.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))))
(*.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))))))
(*.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 eps x))) (sqrt.f64 (tan.f64 x))) (-.f64 (sqrt.f64 (tan.f64 (+.f64 eps x))) (sqrt.f64 (tan.f64 x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))))) (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3))))
(/.f64 1 (/.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (pow.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) 2)))
(/.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) 2) (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3)) (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))))))
(/.f64 (+.f64 (cos.f64 x) (*.f64 (/.f64 1 (tan.f64 (+.f64 eps x))) (sin.f64 x))) (*.f64 (/.f64 1 (tan.f64 (+.f64 eps x))) (cos.f64 x)))
(/.f64 (-.f64 (cos.f64 x) (*.f64 (/.f64 1 (tan.f64 (+.f64 eps x))) (sin.f64 x))) (*.f64 (/.f64 1 (tan.f64 (+.f64 eps x))) (cos.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))))))
(/.f64 (neg.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) 2)) (neg.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))))
(/.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3)) (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))))))
(/.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 (+.f64 eps x)) 3)) (+.f64 (pow.f64 (tan.f64 x) 2) (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))))))
(/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 (+.f64 eps x)) 2)) (-.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))))
(pow.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) 1)
(pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))) 3)
(pow.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))) 2)
(sqrt.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) 2))
(log.f64 (exp.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))))))
(cbrt.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) 3))
(expm1.f64 (log1p.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))))
(log1p.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))))
(exp.f64 (log.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))) 1))
(+.f64 0 (cbrt.f64 (tan.f64 x)))
(-.f64 0 (cbrt.f64 (tan.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (tan.f64 x)))) 1)
(*.f64 1 (cbrt.f64 (tan.f64 x)))
(*.f64 -1 (cbrt.f64 (tan.f64 x)))
(*.f64 (cbrt.f64 (tan.f64 x)) 1)
(*.f64 (cbrt.f64 (tan.f64 x)) -1)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 x))) 2) (cbrt.f64 (cbrt.f64 (tan.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 x))) 2) (neg.f64 (cbrt.f64 (cbrt.f64 (tan.f64 x)))))
(*.f64 (cbrt.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 x))) 2))
(*.f64 (pow.f64 (tan.f64 x) 1/6) (pow.f64 (tan.f64 x) 1/6))
(*.f64 (pow.f64 (tan.f64 x) 1/6) (neg.f64 (pow.f64 (tan.f64 x) 1/6)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (tan.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (tan.f64 x)) 1/3) (pow.f64 (sqrt.f64 (tan.f64 x)) 1/3))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 x))) 2)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (tan.f64 x))))
(*.f64 (neg.f64 (pow.f64 (tan.f64 x) 1/6)) (pow.f64 (tan.f64 x) 1/6))
(*.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (tan.f64 x))))
(*.f64 (*.f64 -1 (pow.f64 (tan.f64 x) 1/6)) (pow.f64 (tan.f64 x) 1/6))
(/.f64 (tan.f64 x) (+.f64 0 (+.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (*.f64 0 (cbrt.f64 (tan.f64 x))))))
(/.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (cos.f64 x)))
(/.f64 (-.f64 0 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (tan.f64 x)))
(pow.f64 (tan.f64 x) 1/3)
(pow.f64 (cbrt.f64 (tan.f64 x)) 1)
(pow.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) 1/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 x))) 3)
(pow.f64 (pow.f64 (tan.f64 x) 1/6) 2)
(neg.f64 (cbrt.f64 (tan.f64 x)))
(sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2))
(fabs.f64 (cbrt.f64 (tan.f64 x)))
(log.f64 (exp.f64 (cbrt.f64 (tan.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (tan.f64 x)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (tan.f64 x))))
(log1p.f64 (expm1.f64 (cbrt.f64 (tan.f64 x))))
(exp.f64 (log.f64 (cbrt.f64 (tan.f64 x))))
(exp.f64 (*.f64 (log.f64 (tan.f64 x)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (tan.f64 x))) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2))) 1)
(*.f64 1 (pow.f64 (cbrt.f64 (tan.f64 x)) 2))
(*.f64 -1 (pow.f64 (cbrt.f64 (tan.f64 x)) 2))
(*.f64 (cbrt.f64 (tan.f64 x)) (cbrt.f64 (tan.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) 1)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 x))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 4)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 x))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (tan.f64 x))) (cbrt.f64 (tan.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 x))) 2))
(*.f64 (sqrt.f64 (tan.f64 x)) (pow.f64 (tan.f64 x) 1/6))
(*.f64 (pow.f64 (tan.f64 x) 1/6) (*.f64 (pow.f64 (tan.f64 x) 1/6) (cbrt.f64 (tan.f64 x))))
(*.f64 (*.f64 (cbrt.f64 (tan.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (tan.f64 x))))
(neg.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2))
(sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 4))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2))))
(cbrt.f64 (pow.f64 (tan.f64 x) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)))
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (tan.f64 x)))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (tan.f64 x)))) 1))
Outputs
(/.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 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)))
(fma.f64 eps (pow.f64 x 2) (*.f64 (pow.f64 x 4) (*.f64 eps 2/3)))
(+.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))))
(fma.f64 17/45 (*.f64 eps (pow.f64 x 6)) (fma.f64 eps (pow.f64 x 2) (*.f64 (pow.f64 x 4) (*.f64 eps 2/3))))
(+.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)))))
(fma.f64 62/315 (*.f64 eps (pow.f64 x 8)) (fma.f64 17/45 (*.f64 eps (pow.f64 x 6)) (fma.f64 eps (pow.f64 x 2) (*.f64 (pow.f64 x 4) (*.f64 eps 2/3)))))
(/.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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)))
(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 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(fma.f64 -1 (*.f64 x (+.f64 1 (neg.f64 (-.f64 1 (neg.f64 (/.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 x (-.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))
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0
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(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (tan.f64 x)))) 1)
(expm1.f64 (log1p.f64 (cbrt.f64 (tan.f64 x))))
(*.f64 1 (cbrt.f64 (tan.f64 x)))
(cbrt.f64 (tan.f64 x))
(*.f64 -1 (cbrt.f64 (tan.f64 x)))
(neg.f64 (cbrt.f64 (tan.f64 x)))
(*.f64 (cbrt.f64 (tan.f64 x)) 1)
(cbrt.f64 (tan.f64 x))
(*.f64 (cbrt.f64 (tan.f64 x)) -1)
(neg.f64 (cbrt.f64 (tan.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 x))) 2) (cbrt.f64 (cbrt.f64 (tan.f64 x))))
(cbrt.f64 (tan.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 x))) 2) (neg.f64 (cbrt.f64 (cbrt.f64 (tan.f64 x)))))
(neg.f64 (cbrt.f64 (tan.f64 x)))
(*.f64 (cbrt.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 x))) 2))
(cbrt.f64 (tan.f64 x))
(*.f64 (pow.f64 (tan.f64 x) 1/6) (pow.f64 (tan.f64 x) 1/6))
(cbrt.f64 (tan.f64 x))
(*.f64 (pow.f64 (tan.f64 x) 1/6) (neg.f64 (pow.f64 (tan.f64 x) 1/6)))
(neg.f64 (cbrt.f64 (tan.f64 x)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (tan.f64 x)))
(cbrt.f64 (tan.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (tan.f64 x)) 1/3) (pow.f64 (sqrt.f64 (tan.f64 x)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (tan.f64 x))) (cbrt.f64 (sqrt.f64 (tan.f64 x))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 x))) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 4))) (fabs.f64 (cbrt.f64 (cbrt.f64 (tan.f64 x)))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (tan.f64 x))))
(neg.f64 (cbrt.f64 (tan.f64 x)))
(*.f64 (neg.f64 (pow.f64 (tan.f64 x) 1/6)) (pow.f64 (tan.f64 x) 1/6))
(neg.f64 (cbrt.f64 (tan.f64 x)))
(*.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (tan.f64 x))))
(neg.f64 (cbrt.f64 (tan.f64 x)))
(*.f64 (*.f64 -1 (pow.f64 (tan.f64 x) 1/6)) (pow.f64 (tan.f64 x) 1/6))
(neg.f64 (cbrt.f64 (tan.f64 x)))
(/.f64 (tan.f64 x) (+.f64 0 (+.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (*.f64 0 (cbrt.f64 (tan.f64 x))))))
(/.f64 (tan.f64 x) (+.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) 0))
(/.f64 (tan.f64 x) (pow.f64 (cbrt.f64 (tan.f64 x)) 2))
(/.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (cos.f64 x)))
(/.f64 (-.f64 0 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (tan.f64 x)))
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (tan.f64 x)))
(pow.f64 (tan.f64 x) 1/3)
(cbrt.f64 (tan.f64 x))
(pow.f64 (cbrt.f64 (tan.f64 x)) 1)
(cbrt.f64 (tan.f64 x))
(pow.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) 1/2)
(cbrt.f64 (tan.f64 x))
(pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 x))) 3)
(cbrt.f64 (tan.f64 x))
(pow.f64 (pow.f64 (tan.f64 x) 1/6) 2)
(cbrt.f64 (tan.f64 x))
(neg.f64 (cbrt.f64 (tan.f64 x)))
(sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2))
(cbrt.f64 (tan.f64 x))
(fabs.f64 (cbrt.f64 (tan.f64 x)))
(cbrt.f64 (tan.f64 x))
(log.f64 (exp.f64 (cbrt.f64 (tan.f64 x))))
(cbrt.f64 (tan.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (tan.f64 x)))))
(cbrt.f64 (tan.f64 x))
(expm1.f64 (log1p.f64 (cbrt.f64 (tan.f64 x))))
(log1p.f64 (expm1.f64 (cbrt.f64 (tan.f64 x))))
(cbrt.f64 (tan.f64 x))
(exp.f64 (log.f64 (cbrt.f64 (tan.f64 x))))
(cbrt.f64 (tan.f64 x))
(exp.f64 (*.f64 (log.f64 (tan.f64 x)) 1/3))
(cbrt.f64 (tan.f64 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (tan.f64 x))) 1))
(cbrt.f64 (tan.f64 x))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2))) 1)
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)))
(*.f64 1 (pow.f64 (cbrt.f64 (tan.f64 x)) 2))
(pow.f64 (cbrt.f64 (tan.f64 x)) 2)
(*.f64 -1 (pow.f64 (cbrt.f64 (tan.f64 x)) 2))
(neg.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2))
(*.f64 (cbrt.f64 (tan.f64 x)) (cbrt.f64 (tan.f64 x)))
(pow.f64 (cbrt.f64 (tan.f64 x)) 2)
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) 1)
(pow.f64 (cbrt.f64 (tan.f64 x)) 2)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 x))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 4)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 x))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (tan.f64 x))) (cbrt.f64 (tan.f64 x))))
(pow.f64 (cbrt.f64 (tan.f64 x)) 2)
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 x))) 2))
(*.f64 (sqrt.f64 (tan.f64 x)) (pow.f64 (tan.f64 x) 1/6))
(*.f64 (pow.f64 (tan.f64 x) 1/6) (*.f64 (pow.f64 (tan.f64 x) 1/6) (cbrt.f64 (tan.f64 x))))
(pow.f64 (cbrt.f64 (tan.f64 x)) 2)
(*.f64 (*.f64 (cbrt.f64 (tan.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (tan.f64 x))))
(pow.f64 (cbrt.f64 (tan.f64 x)) 2)
(neg.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2))
(sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 4))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)))
(pow.f64 (cbrt.f64 (tan.f64 x)) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2))))
(pow.f64 (cbrt.f64 (tan.f64 x)) 2)
(cbrt.f64 (pow.f64 (tan.f64 x) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)))
(pow.f64 (cbrt.f64 (tan.f64 x)) 2)
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (tan.f64 x)))))
(pow.f64 (cbrt.f64 (tan.f64 x)) 2)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (tan.f64 x)))) 1))
(pow.f64 (cbrt.f64 (tan.f64 x)) 2)

eval405.0ms (3.7%)

Compiler

Compiled 27629 to 15370 computations (44.4% saved)

prune80.0ms (0.7%)

Pruning

8 alts after pruning (2 fresh and 6 done)

PrunedKeptTotal
New6442646
Fresh000
Picked235
Done033
Total6468654
Accuracy
100.0%
Counts
654 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
58.6%
(fma.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (neg.f64 (cbrt.f64 (tan.f64 x))) (tan.f64 (+.f64 x eps)))
63.3%
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)
63.3%
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
62.6%
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 eps x)))) (tan.f64 x))
63.3%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
99.5%
(+.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) eps)
99.1%
(+.f64 eps (*.f64 (*.f64 x x) eps))
98.7%
eps
Compiler

Compiled 84 to 58 computations (31% saved)

localize62.0ms (0.6%)

Localize:

Found 5 expressions with local error:

NewAccuracyProgram
100.0%
(tan.f64 (+.f64 eps x))
99.6%
(/.f64 1 (tan.f64 (+.f64 eps x)))
99.5%
(/.f64 1 (/.f64 1 (tan.f64 (+.f64 eps x))))
63.3%
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 eps x)))) (tan.f64 x))
99.8%
(*.f64 (*.f64 x x) eps)
Compiler

Compiled 57 to 22 computations (61.4% saved)

series23.0ms (0.2%)

Counts
5 → 120
Calls

30 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/.f64 1 (tan.f64 (+.f64 eps x)))
1.0ms
eps
@0
(/.f64 1 (tan.f64 (+.f64 eps x)))
1.0ms
eps
@0
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 eps x)))) (tan.f64 x))
1.0ms
eps
@inf
(/.f64 1 (tan.f64 (+.f64 eps x)))
1.0ms
x
@0
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 eps x)))) (tan.f64 x))

rewrite147.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
1126×log-prod
818×fma-define
789×log1p-expm1-u
789×expm1-log1p-u
432×fma-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
017106
1261106
23469106
Stop Event
node limit
Counts
5 → 237
Calls
Call 1
Inputs
(*.f64 (*.f64 x x) eps)
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 eps x)))) (tan.f64 x))
(/.f64 1 (/.f64 1 (tan.f64 (+.f64 eps x))))
(/.f64 1 (tan.f64 (+.f64 eps x)))
(tan.f64 (+.f64 eps x))
Outputs
(+.f64 0 (*.f64 (pow.f64 x 2) eps))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) eps)) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) eps)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) eps))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) eps))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) eps))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 2) eps))) 1)
(pow.f64 (*.f64 (pow.f64 x 2) eps) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) eps)) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 2) eps) 3) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 eps)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 4) (pow.f64 eps 2)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) eps))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 2) eps))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 2) eps) 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 2) 3) (pow.f64 eps 3)))
(cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (pow.f64 x 2) 3)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 2) eps)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 2) eps)))
(exp.f64 (fma.f64 2 (log.f64 x) (log.f64 eps)))
(exp.f64 (*.f64 (fma.f64 2 (log.f64 x) (log.f64 eps)) 1))
(+.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 0 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
(+.f64 (neg.f64 (tan.f64 x)) (tan.f64 (+.f64 x eps)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) (cbrt.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))))
(*.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
(*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1)
(*.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 (cos.f64 x) (*.f64 (/.f64 1 (tan.f64 (+.f64 x eps))) (sin.f64 x))) (*.f64 (/.f64 1 (tan.f64 (+.f64 x eps))) (cos.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 (-.f64 (*.f64 -1 (cos.f64 x)) (*.f64 (/.f64 -1 (tan.f64 (+.f64 x eps))) (sin.f64 x))) (*.f64 (/.f64 -1 (tan.f64 (+.f64 x 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)))))
(log.f64 (*.f64 (exp.f64 (tan.f64 (+.f64 x eps))) (/.f64 1 (exp.f64 (tan.f64 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps)))) (/.f64 1 (exp.f64 (tan.f64 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps)))) (exp.f64 (neg.f64 (tan.f64 x)))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (tan.f64 x))) (exp.f64 (tan.f64 (+.f64 x eps)))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (tan.f64 x))) (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps))))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (tan.f64 x))) (exp.f64 (tan.f64 (+.f64 x eps)))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (tan.f64 x))) (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps))))))
(log.f64 (/.f64 (exp.f64 (tan.f64 (+.f64 x eps))) (+.f64 1 (expm1.f64 (tan.f64 x)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps)))) (exp.f64 (tan.f64 x))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps)))) (+.f64 1 (expm1.f64 (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))
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(/.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (pow.f64 (tan.f64 (+.f64 x eps)) -1/2))
(/.f64 (neg.f64 (tan.f64 (+.f64 x eps))) -1)
(/.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)))))
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) -2))) (/.f64 1 (cbrt.f64 (tan.f64 (+.f64 x eps)))))
(pow.f64 (/.f64 1 (tan.f64 (+.f64 x eps))) -1)
(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)
(neg.f64 (neg.f64 (tan.f64 (+.f64 x eps))))
(sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2))
(log.f64 (exp.f64 (tan.f64 (+.f64 x eps))))
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps)))))
(log.f64 (/.f64 1 (/.f64 1 (exp.f64 (tan.f64 (+.f64 x eps))))))
(log.f64 (/.f64 1 (exp.f64 (neg.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 (neg.f64 (log.f64 (tan.f64 (+.f64 x eps)))) -1))
(exp.f64 (*.f64 (log.f64 (tan.f64 (+.f64 x eps))) 1))

simplify336.0ms (3%)

Algorithm
egg-herbie
Rules
1364×fma-neg
622×associate-*r*
570×associate-*l*
550×fma-define
474×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
058220281
1154519142
2626318947
Stop Event
node limit
Counts
357 → 350
Calls
Call 1
Inputs
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (-.f64 1 (*.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)))
(+.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))))
(+.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 -1 (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 -1/2 (/.f64 (*.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 1/6 (/.f64 (*.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 (sin.f64 x) (+.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))))))) (cos.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 (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 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (*.f64 (pow.f64 x 2) (*.f64 (sin.f64 eps) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (cos.f64 eps))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 x 3) (+.f64 1/2 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (*.f64 (pow.f64 x 2) (*.f64 (sin.f64 eps) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (cos.f64 eps)))))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (sin.f64 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 (sin.f64 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 (/.f64 (sin.f64 x) (cos.f64 x)) (/.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 -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 (sin.f64 x) (cos.f64 x)) (/.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 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))
(/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))
(/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))
(/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (*.f64 x (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 x (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.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 1/6 (+.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 x (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.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 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))
(/.f64 (cos.f64 x) (sin.f64 x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 eps (*.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (pow.f64 (sin.f64 x) 2))) (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)) (pow.f64 (sin.f64 x) 3))) (/.f64 (*.f64 (cos.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (sin.f64 x))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 eps (*.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (pow.f64 (sin.f64 x) 2))) (/.f64 (cos.f64 x) (sin.f64 x))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)) (pow.f64 (sin.f64 x) 3))) (/.f64 (*.f64 (cos.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (sin.f64 x))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 x) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)) (pow.f64 (sin.f64 x) 3))) (/.f64 (*.f64 (cos.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (sin.f64 x))) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (sin.f64 x))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (+.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))))))) (pow.f64 (sin.f64 x) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)) (pow.f64 (sin.f64 x) 2))))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 eps (*.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (pow.f64 (sin.f64 x) 2))) (/.f64 (cos.f64 x) (sin.f64 x)))))
(/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 (+.f64 eps x)))
(/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 (+.f64 eps x)))
(/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 (+.f64 eps x)))
(/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 (+.f64 eps x)))
(/.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 (-.f64 x (*.f64 -1 eps))))
(/.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 (-.f64 x (*.f64 -1 eps))))
(/.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 (-.f64 x (*.f64 -1 eps))))
(/.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 (-.f64 x (*.f64 -1 eps))))
(/.f64 (cos.f64 eps) (sin.f64 eps))
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(exp.f64 (log.f64 (tan.f64 (+.f64 x eps))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (tan.f64 (+.f64 x eps)))) -1))
(exp.f64 (*.f64 (log.f64 (tan.f64 (+.f64 x eps))) 1))
Outputs
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.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 (pow.f64 eps 2) (*.f64 (sin.f64 x) (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (cos.f64 x))) (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x))))
(fma.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 1/6 (fma.f64 -1 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (pow.f64 (cos.f64 x) 2))) (fma.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 1/6 (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 (pow.f64 eps 2) (*.f64 (sin.f64 x) (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (cos.f64 x))) (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 (pow.f64 eps 3) (+.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1/6 (+.f64 -1/2 (*.f64 -1/2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (-.f64 1/6 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2)))))))
(+.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 -1 (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 -1/2 (/.f64 (*.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 1/6 (/.f64 (*.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 (sin.f64 x) (+.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))))))) (cos.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)))))
(fma.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 1/6 (fma.f64 -1 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (pow.f64 (cos.f64 x) 2))) (fma.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 1/6 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))))) (fma.f64 -1 (*.f64 (pow.f64 eps 4) (fma.f64 -1/2 (*.f64 (sin.f64 x) (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (cos.f64 x))) (fma.f64 1/6 (*.f64 (sin.f64 x) (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (cos.f64 x))) (*.f64 (sin.f64 x) (/.f64 (+.f64 1/6 (fma.f64 -1 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (pow.f64 (cos.f64 x) 2))) (fma.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 1/6 (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)))))
(-.f64 (-.f64 (fma.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (cos.f64 x))) (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1/6 (+.f64 -1/2 (*.f64 -1/2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (-.f64 1/6 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2))))) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (*.f64 (sin.f64 x) (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (cos.f64 x))) -1/3)))) (*.f64 (pow.f64 eps 3) (+.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1/6 (+.f64 -1/2 (*.f64 -1/2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (-.f64 1/6 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2)))))))
(-.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 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (*.f64 x (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 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))) (*.f64 (pow.f64 x 2) (/.f64 (*.f64 (sin.f64 eps) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (cos.f64 eps))))
(+.f64 (fma.f64 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 (sin.f64 eps) (/.f64 (+.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)))))
(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 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))) (+.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))) (*.f64 (pow.f64 x 2) (/.f64 (*.f64 (sin.f64 eps) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (cos.f64 eps)))))
(+.f64 (fma.f64 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))))) (fma.f64 (neg.f64 (pow.f64 x 3)) (+.f64 1/2 (-.f64 (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (+.f64 -1/2 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -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 (sin.f64 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 (sin.f64 x) (cos.f64 x)))
(fma.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (sin.f64 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 (/.f64 (sin.f64 x) (cos.f64 x)) (/.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 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (sin.f64 x) (cos.f64 x))) (/.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))) (fma.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (cos.f64 x))) (/.f64 (sin.f64 x) (cos.f64 x))))
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(*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))
(pow.f64 (/.f64 1 (tan.f64 (+.f64 x eps))) 1)
(/.f64 1 (tan.f64 (+.f64 eps x)))
(pow.f64 (tan.f64 (+.f64 x eps)) -1)
(/.f64 1 (tan.f64 (+.f64 eps x)))
(pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 (+.f64 x eps)))) 3)
(/.f64 1 (tan.f64 (+.f64 eps x)))
(pow.f64 (pow.f64 (/.f64 1 (tan.f64 (+.f64 x eps))) 3) 1/3)
(/.f64 1 (tan.f64 (+.f64 eps x)))
(pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) -1/2) 2)
(/.f64 1 (tan.f64 (+.f64 eps x)))
(neg.f64 (/.f64 -1 (tan.f64 (+.f64 x eps))))
(/.f64 1 (tan.f64 (+.f64 eps x)))
(sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) -2))
(sqrt.f64 (pow.f64 (tan.f64 (+.f64 eps x)) -2))
(log.f64 (exp.f64 (/.f64 1 (tan.f64 (+.f64 x eps)))))
(/.f64 1 (tan.f64 (+.f64 eps x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (tan.f64 (+.f64 x eps))))))
(/.f64 1 (tan.f64 (+.f64 eps x)))
(log.f64 (/.f64 1 (/.f64 1 (exp.f64 (/.f64 1 (tan.f64 (+.f64 x eps)))))))
(/.f64 1 (tan.f64 (+.f64 eps x)))
(log.f64 (/.f64 1 (exp.f64 (/.f64 -1 (tan.f64 (+.f64 x eps))))))
(/.f64 1 (tan.f64 (+.f64 eps x)))
(cbrt.f64 (pow.f64 (/.f64 1 (tan.f64 (+.f64 x eps))) 3))
(/.f64 1 (tan.f64 (+.f64 eps x)))
(expm1.f64 (log1p.f64 (/.f64 1 (tan.f64 (+.f64 x eps)))))
(expm1.f64 (log1p.f64 (/.f64 1 (tan.f64 (+.f64 eps x)))))
(log1p.f64 (expm1.f64 (/.f64 1 (tan.f64 (+.f64 x eps)))))
(/.f64 1 (tan.f64 (+.f64 eps x)))
(exp.f64 (neg.f64 (log.f64 (tan.f64 (+.f64 x eps)))))
(/.f64 1 (tan.f64 (+.f64 eps x)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (tan.f64 (+.f64 x eps)))) 1))
(/.f64 1 (tan.f64 (+.f64 eps x)))
(exp.f64 (*.f64 (log.f64 (tan.f64 (+.f64 x eps))) -1))
(/.f64 1 (tan.f64 (+.f64 eps x)))
(+.f64 0 (tan.f64 (+.f64 x eps)))
(tan.f64 (+.f64 eps x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (cbrt.f64 (exp.f64 (tan.f64 (+.f64 x eps)))))) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (+.f64 x eps))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (tan.f64 (+.f64 eps x)))) (cbrt.f64 (exp.f64 (tan.f64 (+.f64 eps x)))))) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (+.f64 eps x))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (+.f64 eps x)))))) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (+.f64 eps x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (+.f64 x eps))))) (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (+.f64 x eps))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (+.f64 eps x))))))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) 1)
(expm1.f64 (log1p.f64 (tan.f64 (+.f64 eps x))))
(*.f64 1 (tan.f64 (+.f64 x eps)))
(tan.f64 (+.f64 eps x))
(*.f64 (tan.f64 (+.f64 x eps)) 1)
(tan.f64 (+.f64 eps x))
(*.f64 (sin.f64 (+.f64 x eps)) (/.f64 1 (cos.f64 (+.f64 x eps))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 -1 (neg.f64 (tan.f64 (+.f64 x eps))))
(tan.f64 (+.f64 eps x))
(*.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2))
(tan.f64 (+.f64 eps x))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2) (cbrt.f64 (tan.f64 (+.f64 x eps))))
(tan.f64 (+.f64 eps x))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2) (/.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 1))
(tan.f64 (+.f64 eps x))
(*.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(tan.f64 (+.f64 eps x))
(*.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (/.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) 1))
(tan.f64 (+.f64 eps x))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 (+.f64 x eps)))) -1))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 eps x)) -2))) (/.f64 1 (/.f64 1 (cbrt.f64 (tan.f64 (+.f64 eps x))))))
(/.f64 (cbrt.f64 (tan.f64 (+.f64 eps x))) (cbrt.f64 (pow.f64 (tan.f64 (+.f64 eps x)) -2)))
(*.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) -1/2) -1) (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) -1/2) -1))
(tan.f64 (+.f64 eps x))
(/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps))))
(tan.f64 (+.f64 eps x))
(/.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 (+.f64 (tan.f64 x) (tan.f64 eps)) 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 (tan.f64 (+.f64 x eps)) 1)
(tan.f64 (+.f64 eps x))
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 -1 (/.f64 -1 (tan.f64 (+.f64 x eps))))
(tan.f64 (+.f64 eps x))
(/.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (pow.f64 (tan.f64 (+.f64 x eps)) -1/2))
(/.f64 (sqrt.f64 (tan.f64 (+.f64 eps x))) (pow.f64 (tan.f64 (+.f64 eps x)) -1/2))
(/.f64 (neg.f64 (tan.f64 (+.f64 x eps))) -1)
(tan.f64 (+.f64 eps x))
(/.f64 (neg.f64 (sin.f64 (+.f64 x eps))) (neg.f64 (cos.f64 (+.f64 x eps))))
(/.f64 (neg.f64 (sin.f64 (+.f64 eps x))) (neg.f64 (cos.f64 (+.f64 eps x))))
(*.f64 1 (/.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)) (neg.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) -2))) (/.f64 1 (cbrt.f64 (tan.f64 (+.f64 x eps)))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 eps x)) -2))) (/.f64 1 (/.f64 1 (cbrt.f64 (tan.f64 (+.f64 eps x))))))
(/.f64 (cbrt.f64 (tan.f64 (+.f64 eps x))) (cbrt.f64 (pow.f64 (tan.f64 (+.f64 eps x)) -2)))
(pow.f64 (/.f64 1 (tan.f64 (+.f64 x eps))) -1)
(tan.f64 (+.f64 eps x))
(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))
(neg.f64 (neg.f64 (tan.f64 (+.f64 x eps))))
(tan.f64 (+.f64 eps x))
(sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2))
(sqrt.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2))
(fabs.f64 (tan.f64 (+.f64 eps x)))
(log.f64 (exp.f64 (tan.f64 (+.f64 x eps))))
(tan.f64 (+.f64 eps x))
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps)))))
(tan.f64 (+.f64 eps x))
(log.f64 (/.f64 1 (/.f64 1 (exp.f64 (tan.f64 (+.f64 x eps))))))
(tan.f64 (+.f64 eps x))
(log.f64 (/.f64 1 (exp.f64 (neg.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 (neg.f64 (log.f64 (tan.f64 (+.f64 x eps)))) -1))
(tan.f64 (+.f64 eps x))
(exp.f64 (*.f64 (log.f64 (tan.f64 (+.f64 x eps))) 1))
(tan.f64 (+.f64 eps x))

eval134.0ms (1.2%)

Compiler

Compiled 9724 to 4694 computations (51.7% saved)

prune292.0ms (2.6%)

Pruning

8 alts after pruning (0 fresh and 8 done)

PrunedKeptTotal
New3500350
Fresh000
Picked022
Done066
Total3508358
Accuracy
100.0%
Counts
358 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
58.6%
(fma.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (neg.f64 (cbrt.f64 (tan.f64 x))) (tan.f64 (+.f64 x eps)))
63.3%
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)
63.3%
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
62.6%
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 eps x)))) (tan.f64 x))
63.3%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
99.5%
(+.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) eps)
99.1%
(+.f64 eps (*.f64 (*.f64 x x) eps))
98.7%
eps
Compiler

Compiled 242 to 136 computations (43.8% saved)

regimes77.0ms (0.7%)

Counts
14 → 1
Calls
Call 1
Inputs
eps
(+.f64 eps (*.f64 (*.f64 x x) eps))
(+.f64 eps (*.f64 (pow.f64 x 2) eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(+.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) eps)
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 eps x)))) (tan.f64 x))
(-.f64 (pow.f64 (/.f64 1 (tan.f64 (+.f64 x eps))) -1) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(fma.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (neg.f64 (cbrt.f64 (tan.f64 x))) (tan.f64 (+.f64 x 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)))
Outputs
(+.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) eps)
Calls

3 calls:

62.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
8.0ms
x
7.0ms
eps
Results
AccuracySegmentsBranch
99.5%1x
99.5%1eps
99.5%1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes11.0ms (0.1%)

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

3 calls:

4.0ms
x
4.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
3.0ms
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)

regimes5.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

2.0ms
x
2.0ms
eps
Results
AccuracySegmentsBranch
98.7%1x
98.7%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify3.0ms (0%)

Algorithm
egg-herbie
Rules
*-commutative
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01667
12067
Stop Event
done
saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) eps)
(+.f64 eps (*.f64 (*.f64 x x) eps))
eps
Outputs
(+.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) eps)
(+.f64 eps (*.f64 eps (pow.f64 (tan.f64 x) 2)))
(+.f64 eps (*.f64 (*.f64 x x) eps))
(+.f64 eps (*.f64 eps (*.f64 x x)))
eps
Compiler

Compiled 22 to 14 computations (36.4% saved)

soundness927.0ms (8.4%)

Rules
1219×log1p-expm1-u
1164×fma-neg
1140×fma-define
1120×distribute-lft-in
939×log1p-expm1-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033210215
18779577
230299383
030301
1463263
26071263
09344295001130
1252732717
2760632717
026232
1378196
25083196
Stop Event
node limit
node limit
node limit
node limit
Compiler

Compiled 229 to 132 computations (42.4% saved)

end0.0ms (0%)

preprocess38.0ms (0.3%)

Compiler

Compiled 78 to 48 computations (38.5% saved)

Profiling

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