2cos (problem 3.3.5)

Time bar (total: 13.6s)

analyze34.0ms (0.3%)

Algorithm
1×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)

sample7.5s (55.6%)

Results
3.3s4301×body2048valid
3.0s26581×body256precondition
818.0ms2056×body1024valid
240.0ms1038×body512valid
140.0ms861×body256valid
Bogosity

preprocess169.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
512×fma-def
98×sub-neg
82×associate--r+
76×distribute-rgt-in
76×unsub-neg
Problems
138×(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
118×No Errors
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025158
143150
265150
3110150
4199150
5282150
6438150
7544150
8678150
9778150
10848150
11852150
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 (neg.f64 x) eps)) (cos.f64 (neg.f64 x)))
(-.f64 (cos.f64 (+.f64 x (neg.f64 eps))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 eps))
Outputs
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 (neg.f64 x) eps)) (cos.f64 (neg.f64 x)))
(-.f64 (cos.f64 (+.f64 eps (neg.f64 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 x (neg.f64 eps))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps (neg.f64 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 eps))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 eps))
Compiler

Compiled 30 to 13 computations (56.7% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶52.3%
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
▶52.3%
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 18 to 12 computations (33.3% saved)

localize115.0ms (0.9%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
✓99.9%
(cos.f64 (+.f64 x eps))
✓52.4%
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 21 to 7 computations (66.7% saved)

series3.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite139.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
1000×fma-def
976×log1p-expm1-u
976×expm1-log1p-u
802×log-prod
378×fma-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01247
116147
2244947
Stop Event
1×node limit
Counts
2 → 163
Calls
Call 1
Inputs
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(cos.f64 (+.f64 x eps))
Outputs
(+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x)))
(+.f64 (cos.f64 (+.f64 x eps)) (*.f64 (neg.f64 (cos.f64 x)) 1))
(+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)))
(+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)))
(+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
(+.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 x eps)))
(+.f64 0 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (cbrt.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))
(*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 1)
(*.f64 -2 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
(*.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(*.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2) (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(*.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (pow.f64 (cos.f64 (+.f64 x eps)) 2))))
(*.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 1 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(*.f64 (+.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))) (-.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))))
(*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)))
(/.f64 1 (/.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3))))
(/.f64 1 (/.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (pow.f64 (cos.f64 (+.f64 x eps)) 2)))
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3))) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (pow.f64 (cos.f64 (+.f64 x eps)) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2))) (neg.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(/.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (neg.f64 (cos.f64 x)) 3)) (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (*.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) (-.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))))
(pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 1)
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2)
(sqrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
(log.f64 (*.f64 (exp.f64 (cos.f64 (+.f64 x eps))) (/.f64 1 (exp.f64 (cos.f64 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 x eps)))) (/.f64 1 (exp.f64 (cos.f64 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 x eps)))) (exp.f64 (neg.f64 (cos.f64 x)))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (cos.f64 x))) (exp.f64 (cos.f64 (+.f64 x eps)))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (cos.f64 x))) (+.f64 1 (expm1.f64 (cos.f64 (+.f64 x eps))))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (cos.f64 x))) (exp.f64 (cos.f64 (+.f64 x eps)))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (cos.f64 x))) (+.f64 1 (expm1.f64 (cos.f64 (+.f64 x eps))))))
(log.f64 (/.f64 (exp.f64 (cos.f64 (+.f64 x eps))) (+.f64 1 (expm1.f64 (cos.f64 x)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 x eps)))) (exp.f64 (cos.f64 x))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 x eps)))) (+.f64 1 (expm1.f64 (cos.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(exp.f64 (log.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 1))
(log1p.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(fma.f64 (cos.f64 (+.f64 x eps)) 1 (neg.f64 (cos.f64 x)))
(fma.f64 (cos.f64 (+.f64 x eps)) 1 (*.f64 (neg.f64 (cos.f64 x)) 1))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
(fma.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 1 (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)))
(fma.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 1 (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)))
(fma.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 1 (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
(fma.f64 (cos.f64 eps) (cos.f64 x) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))
(fma.f64 (cos.f64 eps) (cos.f64 x) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
(fma.f64 -2 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)))
(fma.f64 -2 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)))
(fma.f64 -2 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
(fma.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2 (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)))
(fma.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2 (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)))
(fma.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2 (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
(fma.f64 1 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x)))
(fma.f64 1 (cos.f64 (+.f64 x eps)) (*.f64 (neg.f64 (cos.f64 x)) 1))
(fma.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)))
(fma.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)))
(fma.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
(fma.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))
(fma.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
(fma.f64 1 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 x eps)))
(fma.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)))
(fma.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)))
(fma.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2) (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2) (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2) (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (neg.f64 (cbrt.f64 (cos.f64 x))) (cos.f64 (+.f64 x eps)))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) (cos.f64 eps)) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) (cos.f64 eps)) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
(fma.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2) (neg.f64 (cos.f64 x)))
(fma.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2) (*.f64 (neg.f64 (cos.f64 x)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2) (cbrt.f64 (cos.f64 (+.f64 x eps))) (neg.f64 (cos.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2) (cbrt.f64 (cos.f64 (+.f64 x eps))) (*.f64 (neg.f64 (cos.f64 x)) 1))
(fma.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
(fma.f64 (sqrt.f64 (cos.f64 x)) (neg.f64 (sqrt.f64 (cos.f64 x))) (cos.f64 (+.f64 x eps)))
(fma.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (cos.f64 eps)) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))
(fma.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (cos.f64 eps)) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
(fma.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 (+.f64 x eps))) (neg.f64 (cos.f64 x)))
(fma.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 (+.f64 x eps))) (*.f64 (neg.f64 (cos.f64 x)) 1))
(fma.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (pow.f64 (cos.f64 (+.f64 x eps)) 2))) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)))
(fma.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (pow.f64 (cos.f64 (+.f64 x eps)) 2))) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)))
(fma.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (pow.f64 (cos.f64 (+.f64 x eps)) 2))) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
(fma.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 1 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)))
(fma.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 1 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)))
(fma.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 1 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
(fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 (+.f64 x eps)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps)))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps)))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (cos.f64 x))) (cbrt.f64 (neg.f64 (cos.f64 x)))) (cbrt.f64 (neg.f64 (cos.f64 x))) (cos.f64 (+.f64 x eps)))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
(fma.f64 (sqrt.f64 (neg.f64 (cos.f64 x))) (sqrt.f64 (neg.f64 (cos.f64 x))) (cos.f64 (+.f64 x eps)))
(fma.f64 -1 (cos.f64 x) (cos.f64 (+.f64 x eps)))
(fma.f64 (+.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))) (-.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))) (-.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))) (-.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)) (cos.f64 (+.f64 x eps)))
(fma.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)))
(fma.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)))
(fma.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
(+.f64 (cos.f64 (+.f64 x eps)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(+.f64 0 (cos.f64 (+.f64 x eps)))
(+.f64 (*.f64 (cos.f64 (exp.f64 (log1p.f64 (+.f64 x eps)))) (cos.f64 1)) (*.f64 (sin.f64 (exp.f64 (log1p.f64 (+.f64 x eps)))) (sin.f64 1)))
(+.f64 (*.f64 (cos.f64 (/.f64 (pow.f64 x 2) (-.f64 x eps))) (cos.f64 (/.f64 (pow.f64 eps 2) (-.f64 x eps)))) (*.f64 (sin.f64 (/.f64 (pow.f64 x 2) (-.f64 x eps))) (sin.f64 (/.f64 (pow.f64 eps 2) (-.f64 x eps)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cbrt.f64 (exp.f64 (cos.f64 (+.f64 x eps)))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (+.f64 x eps))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (+.f64 x eps))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (+.f64 x eps))))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) 1)
(*.f64 (cos.f64 (+.f64 x eps)) 1)
(*.f64 1 (cos.f64 (+.f64 x eps)))
(*.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2) (cbrt.f64 (cos.f64 (+.f64 x eps))))
(*.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 (+.f64 x eps))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3)) (fma.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 (-.f64 x eps)))
(pow.f64 (cos.f64 (+.f64 x eps)) 1)
(pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3)
(pow.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) 1/3)
(pow.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) 2)
(sqrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2))
(log.f64 (exp.f64 (cos.f64 (+.f64 x eps))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 x eps)))))
(cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3))
(expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps))))
(exp.f64 (log.f64 (cos.f64 (+.f64 x eps))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (+.f64 x eps))) 1))
(log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps))))
(fma.f64 (cos.f64 (+.f64 x eps)) 1 (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(fma.f64 (cos.f64 eps) (cos.f64 x) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(fma.f64 1 (cos.f64 (+.f64 x eps)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) (cos.f64 eps)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) (cos.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(fma.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2) (cbrt.f64 (cos.f64 (+.f64 x eps))) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (cos.f64 eps)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (cos.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(fma.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 (+.f64 x eps))) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps)))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps)))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))

simplify102.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
806×fma-neg
778×associate-+l+
744×unswap-sqr
662×associate-+r+
648×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03899790
18949237
227108700
Stop Event
1×node limit
Counts
211 → 254
Calls
Call 1
Inputs
(-.f64 (cos.f64 eps) 1)
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1)
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))))) 1)
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))))))) 1)
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x)))))
(+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x))) (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))))))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(cos.f64 eps)
(+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps))))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 -1/2 (*.f64 (pow.f64 x 2) (cos.f64 eps)))))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (cos.f64 eps))) (*.f64 1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))))))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 x)
(+.f64 (cos.f64 x) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (cos.f64 x) (+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))))
(+.f64 (cos.f64 x) (+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))))))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (-.f64 x (*.f64 -1 eps)))
(cos.f64 (-.f64 x (*.f64 -1 eps)))
(cos.f64 (-.f64 x (*.f64 -1 eps)))
(cos.f64 (-.f64 x (*.f64 -1 eps)))
(+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x)))
(+.f64 (cos.f64 (+.f64 x eps)) (*.f64 (neg.f64 (cos.f64 x)) 1))
(+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)))
(+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)))
(+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
(+.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 x eps)))
(+.f64 0 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (cbrt.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))
(*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 1)
(*.f64 -2 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
(*.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(*.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2) (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(*.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (pow.f64 (cos.f64 (+.f64 x eps)) 2))))
(*.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 1 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(*.f64 (+.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))) (-.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))))
(*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)))
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(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2) (cbrt.f64 (cos.f64 (+.f64 x eps))))
(*.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 (+.f64 x eps))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3)) (fma.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 (-.f64 x eps)))
(pow.f64 (cos.f64 (+.f64 x eps)) 1)
(pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3)
(pow.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) 1/3)
(pow.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) 2)
(sqrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2))
(log.f64 (exp.f64 (cos.f64 (+.f64 x eps))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 x eps)))))
(cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3))
(expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps))))
(exp.f64 (log.f64 (cos.f64 (+.f64 x eps))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (+.f64 x eps))) 1))
(log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps))))
(fma.f64 (cos.f64 (+.f64 x eps)) 1 (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(fma.f64 (cos.f64 eps) (cos.f64 x) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(fma.f64 1 (cos.f64 (+.f64 x eps)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) (cos.f64 eps)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) (cos.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(fma.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2) (cbrt.f64 (cos.f64 (+.f64 x eps))) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (cos.f64 eps)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (cos.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(fma.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 (+.f64 x eps))) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps)))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps)))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
Outputs
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1)
(+.f64 (cos.f64 eps) (-.f64 (*.f64 (neg.f64 x) (sin.f64 eps)) 1))
(+.f64 (cos.f64 eps) (fma.f64 (neg.f64 x) (sin.f64 eps) -1))
(+.f64 (cos.f64 eps) (fma.f64 x (neg.f64 (sin.f64 eps)) -1))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))))) 1)
(+.f64 (cos.f64 eps) (-.f64 (fma.f64 -1 (*.f64 x (sin.f64 eps)) (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)))) 1))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 (pow.f64 x 2) (fma.f64 (cos.f64 eps) -1/2 1/2)) (fma.f64 (neg.f64 x) (sin.f64 eps) -1)))
(+.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (-.f64 (*.f64 x (fma.f64 (cos.f64 eps) -1/2 1/2)) (sin.f64 eps))))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))))))) 1)
(+.f64 (cos.f64 eps) (-.f64 (fma.f64 -1 (*.f64 x (sin.f64 eps)) (fma.f64 1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))))) 1))
(+.f64 -1 (+.f64 (*.f64 (sin.f64 eps) (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3)))) (+.f64 (*.f64 (pow.f64 x 2) (fma.f64 (cos.f64 eps) -1/2 1/2)) (cos.f64 eps))))
(+.f64 (*.f64 (sin.f64 eps) (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3)))) (+.f64 (fma.f64 (pow.f64 x 2) (fma.f64 (cos.f64 eps) -1/2 1/2) -1) (cos.f64 eps)))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (neg.f64 eps))
(+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(fma.f64 -1 (*.f64 eps (sin.f64 x)) (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2))))
(-.f64 (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2))) (*.f64 eps (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) (*.f64 eps (sin.f64 x)))
(+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x)))))
(fma.f64 -1 (*.f64 eps (sin.f64 x)) (fma.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2)) (*.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)))))
(-.f64 (fma.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2)) (*.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)))) (*.f64 eps (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) (*.f64 (sin.f64 x) (+.f64 (neg.f64 eps) (*.f64 1/6 (pow.f64 eps 3)))))
(+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x))) (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))))))
(fma.f64 -1 (*.f64 eps (sin.f64 x)) (fma.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2)) (fma.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4)) (*.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3))))))
(-.f64 (+.f64 (*.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3))) (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 1/24 (pow.f64 eps 4))))) (*.f64 eps (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 1/24 (pow.f64 eps 4)))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(cos.f64 eps)
(+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps))))
(+.f64 (cos.f64 eps) (*.f64 (neg.f64 x) (sin.f64 eps)))
(-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps)))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 -1/2 (*.f64 (pow.f64 x 2) (cos.f64 eps)))))
(+.f64 (cos.f64 eps) (fma.f64 -1 (*.f64 x (sin.f64 eps)) (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2)))))
(+.f64 (cos.f64 eps) (-.f64 (*.f64 (cos.f64 eps) (*.f64 (pow.f64 x 2) -1/2)) (*.f64 x (sin.f64 eps))))
(-.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 2) -1/2) 1) (cos.f64 eps)) (*.f64 x (sin.f64 eps)))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (cos.f64 eps))) (*.f64 1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))))))
(+.f64 (cos.f64 eps) (fma.f64 -1 (*.f64 x (sin.f64 eps)) (fma.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2)) (*.f64 1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3))))))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 (cos.f64 eps) (*.f64 (pow.f64 x 2) -1/2)) (*.f64 (sin.f64 eps) (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3))))))
(+.f64 (*.f64 (sin.f64 eps) (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3)))) (*.f64 (+.f64 (*.f64 (pow.f64 x 2) -1/2) 1) (cos.f64 eps)))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 (+.f64 eps x))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 (+.f64 eps x))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 (+.f64 eps x))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 (+.f64 eps x))
(cos.f64 x)
(+.f64 (cos.f64 x) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (cos.f64 x) (*.f64 (neg.f64 eps) (sin.f64 x)))
(-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))
(fma.f64 (neg.f64 eps) (sin.f64 x) (cos.f64 x))
(+.f64 (cos.f64 x) (+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))))
(+.f64 (cos.f64 x) (fma.f64 -1 (*.f64 eps (sin.f64 x)) (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2)))))
(+.f64 (cos.f64 x) (-.f64 (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2))) (*.f64 eps (sin.f64 x))))
(-.f64 (*.f64 (cos.f64 x) (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2)))) (*.f64 eps (sin.f64 x)))
(+.f64 (cos.f64 x) (+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))))))
(+.f64 (cos.f64 x) (fma.f64 -1 (*.f64 eps (sin.f64 x)) (fma.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2)) (*.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3))))))
(+.f64 (cos.f64 x) (-.f64 (fma.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2)) (*.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)))) (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 (sin.f64 x) (+.f64 (neg.f64 eps) (*.f64 1/6 (pow.f64 eps 3)))) (*.f64 (cos.f64 x) (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2)))))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (-.f64 x (*.f64 -1 eps)))
(cos.f64 (+.f64 eps x))
(cos.f64 (-.f64 x (*.f64 -1 eps)))
(cos.f64 (+.f64 eps x))
(cos.f64 (-.f64 x (*.f64 -1 eps)))
(cos.f64 (+.f64 eps x))
(cos.f64 (-.f64 x (*.f64 -1 eps)))
(cos.f64 (+.f64 eps x))
(+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x)))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(+.f64 (cos.f64 (+.f64 x eps)) (*.f64 (neg.f64 (cos.f64 x)) 1))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(+.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 x eps)))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(+.f64 0 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (cbrt.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))) (cbrt.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))))
(*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 1)
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (*.f64 -2 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 eps x))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (-.f64 x x)))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 -2 (sin.f64 (*.f64 eps 1/2))))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (*.f64 -2 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 eps x))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (-.f64 x x)))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 -2 (sin.f64 (*.f64 eps 1/2))))
(*.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
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(+.f64 (cos.f64 (+.f64 eps x)) (*.f64 (sin.f64 x) (+.f64 (neg.f64 (sin.f64 eps)) (sin.f64 eps))))
(+.f64 (cos.f64 (+.f64 eps x)) (*.f64 0 (*.f64 (sin.f64 eps) (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(+.f64 0 (cos.f64 (+.f64 x eps)))
(cos.f64 (+.f64 eps x))
(+.f64 (*.f64 (cos.f64 (exp.f64 (log1p.f64 (+.f64 x eps)))) (cos.f64 1)) (*.f64 (sin.f64 (exp.f64 (log1p.f64 (+.f64 x eps)))) (sin.f64 1)))
(fma.f64 (cos.f64 (exp.f64 (log1p.f64 (+.f64 eps x)))) (cos.f64 1) (*.f64 (sin.f64 (exp.f64 (log1p.f64 (+.f64 eps x)))) (sin.f64 1)))
(+.f64 (*.f64 (cos.f64 (/.f64 (pow.f64 x 2) (-.f64 x eps))) (cos.f64 (/.f64 (pow.f64 eps 2) (-.f64 x eps)))) (*.f64 (sin.f64 (/.f64 (pow.f64 x 2) (-.f64 x eps))) (sin.f64 (/.f64 (pow.f64 eps 2) (-.f64 x eps)))))
(fma.f64 (cos.f64 (/.f64 (pow.f64 x 2) (-.f64 x eps))) (cos.f64 (/.f64 (pow.f64 eps 2) (-.f64 x eps))) (*.f64 (sin.f64 (/.f64 (pow.f64 x 2) (-.f64 x eps))) (sin.f64 (/.f64 (pow.f64 eps 2) (-.f64 x eps)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cbrt.f64 (exp.f64 (cos.f64 (+.f64 x eps)))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (+.f64 x eps))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cos.f64 (+.f64 eps x)))) (cbrt.f64 (exp.f64 (cos.f64 (+.f64 eps x)))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (+.f64 eps x))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (+.f64 eps x)))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (+.f64 eps x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (+.f64 eps x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (+.f64 x eps))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (+.f64 x eps))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (+.f64 eps x))))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) 1)
(cos.f64 (+.f64 eps x))
(*.f64 (cos.f64 (+.f64 x eps)) 1)
(cos.f64 (+.f64 eps x))
(*.f64 1 (cos.f64 (+.f64 x eps)))
(cos.f64 (+.f64 eps x))
(*.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2))
(cos.f64 (+.f64 eps x))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2) (cbrt.f64 (cos.f64 (+.f64 x eps))))
(cos.f64 (+.f64 eps x))
(*.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 (+.f64 x eps))))
(cos.f64 (+.f64 eps x))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3)) (fma.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3)) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 eps) (cos.f64 eps))) (fma.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3)) (fma.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 eps) (cos.f64 eps)) (*.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3)) (fma.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 eps) (cos.f64 eps)) (*.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 (-.f64 x eps)))
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 eps) (cos.f64 eps))) (*.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (*.f64 (sin.f64 eps) (sin.f64 x))))) (cos.f64 (-.f64 x eps)))
(/.f64 (fma.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 eps) (cos.f64 eps)) (*.f64 (sin.f64 x) (neg.f64 (*.f64 (sin.f64 eps) (*.f64 (sin.f64 eps) (sin.f64 x)))))) (cos.f64 (-.f64 x eps)))
(pow.f64 (cos.f64 (+.f64 x eps)) 1)
(cos.f64 (+.f64 eps x))
(pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3)
(cos.f64 (+.f64 eps x))
(pow.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) 1/3)
(cos.f64 (+.f64 eps x))
(pow.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) 2)
(cos.f64 (+.f64 eps x))
(sqrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2))
(cos.f64 (+.f64 eps x))
(log.f64 (exp.f64 (cos.f64 (+.f64 x eps))))
(cos.f64 (+.f64 eps x))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 x eps)))))
(cos.f64 (+.f64 eps x))
(cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3))
(cos.f64 (+.f64 eps x))
(expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps))))
(cos.f64 (+.f64 eps x))
(exp.f64 (log.f64 (cos.f64 (+.f64 x eps))))
(cos.f64 (+.f64 eps x))
(exp.f64 (*.f64 (log.f64 (cos.f64 (+.f64 x eps))) 1))
(cos.f64 (+.f64 eps x))
(log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps))))
(cos.f64 (+.f64 eps x))
(fma.f64 (cos.f64 (+.f64 x eps)) 1 (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(+.f64 (cos.f64 (+.f64 eps x)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))
(+.f64 (cos.f64 (+.f64 eps x)) (*.f64 (sin.f64 x) (+.f64 (neg.f64 (sin.f64 eps)) (sin.f64 eps))))
(+.f64 (cos.f64 (+.f64 eps x)) (*.f64 0 (*.f64 (sin.f64 eps) (sin.f64 x))))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (cos.f64 x) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 1 (cos.f64 (+.f64 x eps)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(+.f64 (cos.f64 (+.f64 eps x)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))
(+.f64 (cos.f64 (+.f64 eps x)) (*.f64 (sin.f64 x) (+.f64 (neg.f64 (sin.f64 eps)) (sin.f64 eps))))
(+.f64 (cos.f64 (+.f64 eps x)) (*.f64 0 (*.f64 (sin.f64 eps) (sin.f64 x))))
(fma.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) (cos.f64 eps)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) (cos.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(+.f64 (cos.f64 (+.f64 eps x)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))
(+.f64 (cos.f64 (+.f64 eps x)) (*.f64 (sin.f64 x) (+.f64 (neg.f64 (sin.f64 eps)) (sin.f64 eps))))
(+.f64 (cos.f64 (+.f64 eps x)) (*.f64 0 (*.f64 (sin.f64 eps) (sin.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2) (cbrt.f64 (cos.f64 (+.f64 x eps))) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(+.f64 (cos.f64 (+.f64 eps x)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))
(+.f64 (cos.f64 (+.f64 eps x)) (*.f64 (sin.f64 x) (+.f64 (neg.f64 (sin.f64 eps)) (sin.f64 eps))))
(+.f64 (cos.f64 (+.f64 eps x)) (*.f64 0 (*.f64 (sin.f64 eps) (sin.f64 x))))
(fma.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (cos.f64 eps)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (cos.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 (+.f64 x eps))) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(+.f64 (cos.f64 (+.f64 eps x)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))
(+.f64 (cos.f64 (+.f64 eps x)) (*.f64 (sin.f64 x) (+.f64 (neg.f64 (sin.f64 eps)) (sin.f64 eps))))
(+.f64 (cos.f64 (+.f64 eps x)) (*.f64 0 (*.f64 (sin.f64 eps) (sin.f64 x))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps)))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps)))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))

eval117.0ms (0.9%)

Compiler

Compiled 4748 to 1515 computations (68.1% saved)

prune73.0ms (0.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New2477254
Fresh000
Picked011
Done000
Total2478255
Accuracy
99.9%
Counts
255 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.5%
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))
▶99.2%
(-.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) (*.f64 eps (sin.f64 x)))
✓52.3%
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
▶51.1%
(-.f64 (cos.f64 eps) 1)
99.5%
(+.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) (*.f64 (sin.f64 x) (+.f64 (neg.f64 eps) (*.f64 1/6 (pow.f64 eps 3)))))
▶82.1%
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
▶99.7%
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 -2 (sin.f64 (*.f64 eps 1/2))))
▶78.4%
(*.f64 (sin.f64 x) (neg.f64 eps))
52.5%
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))
▶99.2%
(-.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) (*.f64 eps (sin.f64 x)))
✓52.3%
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
▶51.1%
(-.f64 (cos.f64 eps) 1)
99.5%
(+.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) (*.f64 (sin.f64 x) (+.f64 (neg.f64 eps) (*.f64 1/6 (pow.f64 eps 3)))))
▶82.1%
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
▶99.7%
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 -2 (sin.f64 (*.f64 eps 1/2))))
▶78.4%
(*.f64 (sin.f64 x) (neg.f64 eps))
Compiler

Compiled 434 to 320 computations (26.3% saved)

localize1.6s (11.9%)

Localize:

Found 12 expressions with local error:

NewAccuracyProgram
✓100.0%
(*.f64 eps (sin.f64 x))
✓100.0%
(*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)))
✓100.0%
(*.f64 -1/2 (pow.f64 eps 2))
✓99.8%
(-.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) (*.f64 eps (sin.f64 x)))
✓100.0%
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
✓99.9%
(sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))
✓99.8%
(*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)))
✓62.7%
(+.f64 x (-.f64 eps x))
✓100.0%
(*.f64 (sin.f64 x) (neg.f64 eps))
✓52.8%
(-.f64 (cos.f64 eps) 1)
✓99.9%
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))
✓99.8%
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 -2 (sin.f64 (*.f64 eps 1/2))))
Compiler

Compiled 198 to 98 computations (50.5% saved)

series22.0ms (0.2%)

Counts
12 → 208
Calls

66 calls:

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

rewrite145.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
578×associate-*r*
300×log1p-expm1-u
300×expm1-log1p-u
297×add-cube-cbrt
294×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
042404
1703356
Stop Event
1×node limit
Counts
12 → 259
Calls
Call 1
Inputs
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 -2 (sin.f64 (*.f64 eps 1/2))))
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(-.f64 (cos.f64 eps) 1)
(*.f64 (sin.f64 x) (neg.f64 eps))
(+.f64 x (-.f64 eps x))
(*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)))
(sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
(-.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) (*.f64 eps (sin.f64 x)))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)))
(*.f64 eps (sin.f64 x))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))) 1)
(pow.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 1)
(pow.f64 (cbrt.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 3)
(pow.f64 (pow.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 2)
(sqrt.f64 (pow.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 1/2 eps))) -2) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 eps))) 3) (pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3) (pow.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 eps))) 3)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(exp.f64 (log.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 1))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 1)
(*.f64 1 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 2) (cbrt.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) (sqrt.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) 1)
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 3)
(pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3) 1/3)
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 2)
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) 2))
(log.f64 (exp.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(exp.f64 (log.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 1))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(+.f64 (cos.f64 eps) -1)
(*.f64 1 (+.f64 (cos.f64 eps) -1))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2) (cbrt.f64 (+.f64 (cos.f64 eps) -1)))
(*.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (sqrt.f64 (+.f64 (cos.f64 eps) -1)))
(*.f64 (+.f64 (pow.f64 (cos.f64 eps) 3) -1) (/.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 1 (cos.f64 eps)))))
(*.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (/.f64 1 (+.f64 (cos.f64 eps) 1)))
(*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 1 (cos.f64 eps))) (+.f64 (pow.f64 (cos.f64 eps) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (pow.f64 (cos.f64 eps) 2) -1)))
(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 3) -1) (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 1 (cos.f64 eps))))
(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 3) -1) (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.f64 (cos.f64 eps) -1))))
(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (+.f64 (cos.f64 eps) 1))
(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (-.f64 (cos.f64 eps) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 3) -1)) (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 1 (cos.f64 eps)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) (neg.f64 (+.f64 (cos.f64 eps) 1)))
(pow.f64 (+.f64 (cos.f64 eps) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) 2)
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (cos.f64 eps) -1))))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))
(expm1.f64 (log.f64 (cos.f64 eps)))
(exp.f64 (log.f64 (+.f64 (cos.f64 eps) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (cos.f64 eps) -1)) 1))
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
(fma.f64 1 (cos.f64 eps) -1)
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (cbrt.f64 (cos.f64 eps)) -1)
(fma.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)) -1)
(-.f64 0 (*.f64 eps (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (sin.f64 x)))) 1)
(pow.f64 (*.f64 eps (sin.f64 x)) 1)
(pow.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 eps (sin.f64 x))) 2)
(neg.f64 (*.f64 eps (sin.f64 x)))
(sqrt.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 2))
(log.f64 (pow.f64 (exp.f64 eps) (sin.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (sin.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 eps (sin.f64 x))))
(exp.f64 (log.f64 (*.f64 eps (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (sin.f64 x))) 1))
(log1p.f64 (expm1.f64 (*.f64 eps (sin.f64 x))))
(-.f64 eps 0)
(-.f64 (+.f64 x eps) x)
(-.f64 (exp.f64 (log1p.f64 (-.f64 eps 0))) 1)
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 (-.f64 x eps) x)) (/.f64 (pow.f64 (-.f64 eps x) 2) (+.f64 (-.f64 x eps) x)))
(*.f64 1 (-.f64 eps 0))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 eps 0)) 2) (cbrt.f64 (-.f64 eps 0)))
(*.f64 (sqrt.f64 (-.f64 eps 0)) (sqrt.f64 (-.f64 eps 0)))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 eps x) 3)) (/.f64 1 (fma.f64 x x (*.f64 (-.f64 eps x) (-.f64 eps (/.f64 0 0))))))
(*.f64 (-.f64 (pow.f64 x 2) (pow.f64 (-.f64 eps x) 2)) (/.f64 1 (+.f64 (-.f64 x eps) x)))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (-.f64 eps x) (-.f64 eps (/.f64 0 0)))) (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 eps x) 3))))
(/.f64 1 (/.f64 (+.f64 (-.f64 x eps) x) (-.f64 (pow.f64 x 2) (pow.f64 (-.f64 eps x) 2))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 eps x) 3)) (fma.f64 x x (*.f64 (-.f64 eps x) (-.f64 eps (/.f64 0 0)))))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (-.f64 eps x) 2)) (+.f64 (-.f64 x eps) x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 eps x) 3))) (neg.f64 (fma.f64 x x (*.f64 (-.f64 eps x) (-.f64 eps (/.f64 0 0))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (pow.f64 (-.f64 eps x) 2))) (neg.f64 (+.f64 (-.f64 x eps) x)))
(/.f64 (+.f64 (pow.f64 (-.f64 eps x) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (-.f64 eps x) 2) (-.f64 (pow.f64 x 2) (*.f64 (-.f64 eps x) x))))
(/.f64 (-.f64 (pow.f64 (+.f64 x eps) 3) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 x eps) (+.f64 x eps)) (+.f64 (pow.f64 x 2) (*.f64 (+.f64 x eps) x))))
(/.f64 (-.f64 (pow.f64 (-.f64 eps x) 2) (pow.f64 x 2)) (-.f64 eps (/.f64 0 0)))
(/.f64 (-.f64 (*.f64 (+.f64 x eps) (+.f64 x eps)) (pow.f64 x 2)) (+.f64 (+.f64 x eps) x))
(pow.f64 (-.f64 eps 0) 1)
(pow.f64 (cbrt.f64 (-.f64 eps 0)) 3)
(pow.f64 (pow.f64 (-.f64 eps 0) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 eps 0)) 2)
(sqrt.f64 (pow.f64 (-.f64 eps 0) 2))
(log.f64 (exp.f64 (-.f64 eps 0)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 eps 0))))
(cbrt.f64 (pow.f64 (-.f64 eps 0) 3))
(expm1.f64 (log1p.f64 (-.f64 eps 0)))
(exp.f64 (log.f64 (-.f64 eps 0)))
(exp.f64 (*.f64 (log.f64 (-.f64 eps 0)) 1))
(log1p.f64 (expm1.f64 (-.f64 eps 0)))
(fma.f64 1 x (-.f64 eps x))
(fma.f64 1 (-.f64 eps x) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (-.f64 eps x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 eps x)) 2) (cbrt.f64 (-.f64 eps x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 eps x))
(fma.f64 (sqrt.f64 (-.f64 eps x)) (sqrt.f64 (-.f64 eps x)) x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps 0))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))) 1)
(-.f64 (/.f64 (cos.f64 (*.f64 1/2 (-.f64 (-.f64 eps 0) (fma.f64 2 x eps)))) 2) (/.f64 (cos.f64 (*.f64 1/2 (+.f64 (-.f64 eps 0) (fma.f64 2 x eps)))) 2))
(/.f64 1 (/.f64 2 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 (-.f64 eps 0) (fma.f64 2 x eps)))) (cos.f64 (*.f64 1/2 (+.f64 (-.f64 eps 0) (fma.f64 2 x eps)))))))
(/.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 (-.f64 eps 0) (fma.f64 2 x eps)))) (cos.f64 (*.f64 1/2 (+.f64 (-.f64 eps 0) (fma.f64 2 x eps))))) 2)
(/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 1/2 (fma.f64 2 x eps)) (*.f64 1/2 (-.f64 eps 0)))) (cos.f64 (+.f64 (*.f64 1/2 (fma.f64 2 x eps)) (*.f64 1/2 (-.f64 eps 0))))) 2)
(/.f64 (neg.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 (-.f64 eps 0) (fma.f64 2 x eps)))) (cos.f64 (*.f64 1/2 (+.f64 (-.f64 eps 0) (fma.f64 2 x eps)))))) -2)
(pow.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps 0))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 1)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps 0))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps 0))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps 0))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 2)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps 0))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 1/2 (-.f64 eps 0)))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps 0))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps 0))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 eps 0))) 3) (pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 eps 0))) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps 0))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps 0))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps 0))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps 0))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 1)
(*.f64 1 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 2) (cbrt.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) (sqrt.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) 1)
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 3)
(pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3) 1/3)
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 2)
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) 2))
(log.f64 (exp.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(exp.f64 (log.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 1))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps 0))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))))) 1)
(pow.f64 (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps 0))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 1)
(pow.f64 (cbrt.f64 (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps 0))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))) 3)
(pow.f64 (pow.f64 (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps 0))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps 0))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))) 2)
(sqrt.f64 (pow.f64 (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps 0))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 1/2 (-.f64 eps 0)))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) -2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps 0))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))))))
(cbrt.f64 (pow.f64 (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps 0))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 3))
(expm1.f64 (log1p.f64 (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps 0))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))))
(exp.f64 (log.f64 (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps 0))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps 0))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))) 1))
(log1p.f64 (expm1.f64 (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps 0))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))))
(+.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) (*.f64 eps (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) (+.f64 (*.f64 eps (sin.f64 x)) (+.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps (sin.f64 x)))))
(+.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x))) (+.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps (sin.f64 x))))
(+.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x))) (fma.f64 eps (sin.f64 x) (*.f64 eps (sin.f64 x))))
(+.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 eps (sin.f64 x)))) (sqrt.f64 (*.f64 eps (sin.f64 x))) (*.f64 eps (sin.f64 x))))
(+.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x))) (+.f64 (+.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps (sin.f64 x))) (+.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps (sin.f64 x)))))
(+.f64 (fma.f64 1 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) (neg.f64 (*.f64 (*.f64 eps (sin.f64 x)) 1))) (fma.f64 (*.f64 eps (sin.f64 x)) 1 (*.f64 (*.f64 eps (sin.f64 x)) 1)))
(+.f64 (fma.f64 1 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) (neg.f64 (*.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) (pow.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 eps (sin.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) 2) (*.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) (pow.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) 2))))
(+.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (neg.f64 (*.f64 (*.f64 eps (sin.f64 x)) 1))) (fma.f64 (*.f64 eps (sin.f64 x)) 1 (*.f64 (*.f64 eps (sin.f64 x)) 1)))
(+.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (neg.f64 (*.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) (pow.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 eps (sin.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) 2) (*.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) (pow.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) 2))))
(+.f64 (fma.f64 (*.f64 -1/2 (pow.f64 eps 2)) (cos.f64 x) (neg.f64 (*.f64 (*.f64 eps (sin.f64 x)) 1))) (fma.f64 (*.f64 eps (sin.f64 x)) 1 (*.f64 (*.f64 eps (sin.f64 x)) 1)))
(+.f64 (fma.f64 (*.f64 -1/2 (pow.f64 eps 2)) (cos.f64 x) (neg.f64 (*.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) (pow.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 eps (sin.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) 2) (*.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) (pow.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)))) 2) (cbrt.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)))) (neg.f64 (*.f64 (*.f64 eps (sin.f64 x)) 1))) (fma.f64 (*.f64 eps (sin.f64 x)) 1 (*.f64 (*.f64 eps (sin.f64 x)) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)))) 2) (cbrt.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)))) (neg.f64 (*.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) (pow.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 eps (sin.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) 2) (*.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) (pow.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) 2))))
(+.f64 (fma.f64 (*.f64 (sqrt.f64 (*.f64 (cos.f64 x) -1/2)) eps) (*.f64 (sqrt.f64 (*.f64 (cos.f64 x) -1/2)) eps) (neg.f64 (*.f64 (*.f64 eps (sin.f64 x)) 1))) (fma.f64 (*.f64 eps (sin.f64 x)) 1 (*.f64 (*.f64 eps (sin.f64 x)) 1)))
(+.f64 (fma.f64 (*.f64 (sqrt.f64 (*.f64 (cos.f64 x) -1/2)) eps) (*.f64 (sqrt.f64 (*.f64 (cos.f64 x) -1/2)) eps) (neg.f64 (*.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) (pow.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 eps (sin.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) 2) (*.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) (pow.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) 2))))
(+.f64 (fma.f64 (*.f64 (cos.f64 x) -1/2) (pow.f64 eps 2) (neg.f64 (*.f64 (*.f64 eps (sin.f64 x)) 1))) (fma.f64 (*.f64 eps (sin.f64 x)) 1 (*.f64 (*.f64 eps (sin.f64 x)) 1)))
(+.f64 (fma.f64 (*.f64 (cos.f64 x) -1/2) (pow.f64 eps 2) (neg.f64 (*.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) (pow.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 eps (sin.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) 2) (*.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) (pow.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) 2))))
(+.f64 (*.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) 1) (*.f64 (*.f64 eps (sin.f64 x)) 1))
(+.f64 (*.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x))) 1) (*.f64 (+.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps (sin.f64 x))) 1))
(*.f64 1 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x)))) 2) (cbrt.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x)))))
(*.f64 (pow.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x))) 2) (/.f64 1 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x)))))
(*.f64 (sqrt.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x)))) (sqrt.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x)))))
(*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) 3) (pow.f64 (*.f64 eps (sin.f64 x)) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) (sin.f64 x)) eps))))
(*.f64 (+.f64 (*.f64 (sqrt.f64 (*.f64 (cos.f64 x) -1/2)) eps) (sqrt.f64 (*.f64 eps (sin.f64 x)))) (-.f64 (*.f64 (sqrt.f64 (*.f64 (cos.f64 x) -1/2)) eps) (sqrt.f64 (*.f64 eps (sin.f64 x)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) (sin.f64 x)) eps)) (+.f64 (pow.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) 3) (pow.f64 (*.f64 eps (sin.f64 x)) 3))))
(/.f64 1 (/.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x))) (pow.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x))) 2)))
(/.f64 (pow.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x))) 2) (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) 3) (pow.f64 (*.f64 eps (sin.f64 x)) 3)) (+.f64 (pow.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) (sin.f64 x)) eps)))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) 3) (pow.f64 (*.f64 eps (sin.f64 x)) 3)) (+.f64 (*.f64 (*.f64 (pow.f64 eps 4) 1/4) (pow.f64 (cos.f64 x) 2)) (-.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) (sin.f64 x)) eps))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) 3) (pow.f64 (*.f64 eps (sin.f64 x)) 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) (sin.f64 x)) eps))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x))) 2)) (neg.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x))) 3) (pow.f64 (+.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps (sin.f64 x))) 3)) (+.f64 (pow.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x))) 2) (-.f64 (*.f64 (+.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps (sin.f64 x))) (+.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps (sin.f64 x)))) (*.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x))) (+.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps (sin.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x))) 2) (*.f64 (+.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps (sin.f64 x))) (+.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps (sin.f64 x))))) (-.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x))) (+.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps (sin.f64 x)))))
(pow.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x))) 1)
(pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x)))) 3)
(pow.f64 (pow.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x))) 2))
(log.f64 (exp.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x))))))
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x)))))
(exp.f64 (log.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x)))))
(fma.f64 1 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) (*.f64 eps (sin.f64 x)))
(fma.f64 1 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x))) (+.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps (sin.f64 x))))
(fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x)))
(fma.f64 (*.f64 -1/2 (pow.f64 eps 2)) (cos.f64 x) (*.f64 eps (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)))) 2) (cbrt.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)))) (*.f64 eps (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x)))) 2) (cbrt.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x)))) (+.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps (sin.f64 x))))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (cos.f64 x) -1/2)) eps) (*.f64 (sqrt.f64 (*.f64 (cos.f64 x) -1/2)) eps) (*.f64 eps (sin.f64 x)))
(fma.f64 (sqrt.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x)))) (sqrt.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x)))) (+.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps (sin.f64 x))))
(fma.f64 (*.f64 (cos.f64 x) -1/2) (pow.f64 eps 2) (*.f64 eps (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 eps 2)))) 1)
(pow.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 eps 2))) 3)
(pow.f64 (pow.f64 (*.f64 -1/2 (pow.f64 eps 2)) 3) 1/3)
(pow.f64 (*.f64 eps (sqrt.f64 -1/2)) 2)
(sqrt.f64 (*.f64 (pow.f64 eps 4) 1/4))
(log.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) -1/2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (pow.f64 eps 2)))))
(cbrt.f64 (pow.f64 (*.f64 -1/2 (pow.f64 eps 2)) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 eps 2))))
(exp.f64 (log.f64 (*.f64 -1/2 (pow.f64 eps 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 -1/2 (pow.f64 eps 2))) 1))
(log1p.f64 (expm1.f64 (*.f64 -1/2 (pow.f64 eps 2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))))) 1)
(pow.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) 1)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)))) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (cos.f64 x) -1/2)) eps) 2)
(sqrt.f64 (*.f64 (*.f64 (pow.f64 eps 4) 1/4) (pow.f64 (cos.f64 x) 2)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) -1/2) (cos.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) 3))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)))))
(exp.f64 (log.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)))))
(-.f64 0 (*.f64 eps (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (sin.f64 x)))) 1)
(pow.f64 (*.f64 eps (sin.f64 x)) 1)
(pow.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 eps (sin.f64 x))) 2)
(neg.f64 (*.f64 eps (sin.f64 x)))
(sqrt.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 2))
(log.f64 (pow.f64 (exp.f64 eps) (sin.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (sin.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 eps (sin.f64 x))))
(exp.f64 (log.f64 (*.f64 eps (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (sin.f64 x))) 1))
(log1p.f64 (expm1.f64 (*.f64 eps (sin.f64 x))))

simplify171.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
224×*-commutative
220×+-commutative
172×sqr-pow
128×fma-def
78×associate-+r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069019685
1189619685
Stop Event
1×unsound
Counts
467 → 371
Calls
Call 1
Inputs
(*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))
(+.f64 (*.f64 -2 (*.f64 x (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))) (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))
(+.f64 (*.f64 -2 (*.f64 x (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))) (+.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 (pow.f64 x 2) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))
(+.f64 (*.f64 -2 (*.f64 x (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))) (+.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 x 3) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))) (*.f64 (pow.f64 x 2) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
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eps
eps
eps
eps
eps
eps
eps
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eps
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eps
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eps
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eps
eps
eps
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eps
eps
eps
eps
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(exp.f64 (log.f64 (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps 0))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps 0))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))) 1))
(log1p.f64 (expm1.f64 (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps 0))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))))
(+.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) (*.f64 eps (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) (+.f64 (*.f64 eps (sin.f64 x)) (+.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps (sin.f64 x)))))
(+.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x))) (+.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps (sin.f64 x))))
(+.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x))) (fma.f64 eps (sin.f64 x) (*.f64 eps (sin.f64 x))))
(+.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 eps (sin.f64 x)))) (sqrt.f64 (*.f64 eps (sin.f64 x))) (*.f64 eps (sin.f64 x))))
(+.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x))) (+.f64 (+.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps (sin.f64 x))) (+.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps (sin.f64 x)))))
(+.f64 (fma.f64 1 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) (neg.f64 (*.f64 (*.f64 eps (sin.f64 x)) 1))) (fma.f64 (*.f64 eps (sin.f64 x)) 1 (*.f64 (*.f64 eps (sin.f64 x)) 1)))
(+.f64 (fma.f64 1 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) (neg.f64 (*.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) (pow.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 eps (sin.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) 2) (*.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) (pow.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) 2))))
(+.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (neg.f64 (*.f64 (*.f64 eps (sin.f64 x)) 1))) (fma.f64 (*.f64 eps (sin.f64 x)) 1 (*.f64 (*.f64 eps (sin.f64 x)) 1)))
(+.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (neg.f64 (*.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) (pow.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 eps (sin.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) 2) (*.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) (pow.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) 2))))
(+.f64 (fma.f64 (*.f64 -1/2 (pow.f64 eps 2)) (cos.f64 x) (neg.f64 (*.f64 (*.f64 eps (sin.f64 x)) 1))) (fma.f64 (*.f64 eps (sin.f64 x)) 1 (*.f64 (*.f64 eps (sin.f64 x)) 1)))
(+.f64 (fma.f64 (*.f64 -1/2 (pow.f64 eps 2)) (cos.f64 x) (neg.f64 (*.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) (pow.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 eps (sin.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) 2) (*.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) (pow.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)))) 2) (cbrt.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)))) (neg.f64 (*.f64 (*.f64 eps (sin.f64 x)) 1))) (fma.f64 (*.f64 eps (sin.f64 x)) 1 (*.f64 (*.f64 eps (sin.f64 x)) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)))) 2) (cbrt.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)))) (neg.f64 (*.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) (pow.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 eps (sin.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) 2) (*.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) (pow.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) 2))))
(+.f64 (fma.f64 (*.f64 (sqrt.f64 (*.f64 (cos.f64 x) -1/2)) eps) (*.f64 (sqrt.f64 (*.f64 (cos.f64 x) -1/2)) eps) (neg.f64 (*.f64 (*.f64 eps (sin.f64 x)) 1))) (fma.f64 (*.f64 eps (sin.f64 x)) 1 (*.f64 (*.f64 eps (sin.f64 x)) 1)))
(+.f64 (fma.f64 (*.f64 (sqrt.f64 (*.f64 (cos.f64 x) -1/2)) eps) (*.f64 (sqrt.f64 (*.f64 (cos.f64 x) -1/2)) eps) (neg.f64 (*.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) (pow.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 eps (sin.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) 2) (*.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) (pow.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) 2))))
(+.f64 (fma.f64 (*.f64 (cos.f64 x) -1/2) (pow.f64 eps 2) (neg.f64 (*.f64 (*.f64 eps (sin.f64 x)) 1))) (fma.f64 (*.f64 eps (sin.f64 x)) 1 (*.f64 (*.f64 eps (sin.f64 x)) 1)))
(+.f64 (fma.f64 (*.f64 (cos.f64 x) -1/2) (pow.f64 eps 2) (neg.f64 (*.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) (pow.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 eps (sin.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) 2) (*.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) (pow.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) 2))))
(+.f64 (*.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) 1) (*.f64 (*.f64 eps (sin.f64 x)) 1))
(+.f64 (*.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x))) 1) (*.f64 (+.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps (sin.f64 x))) 1))
(*.f64 1 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x)))) 2) (cbrt.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x)))))
(*.f64 (pow.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x))) 2) (/.f64 1 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x)))))
(*.f64 (sqrt.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x)))) (sqrt.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x)))))
(*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) 3) (pow.f64 (*.f64 eps (sin.f64 x)) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) (sin.f64 x)) eps))))
(*.f64 (+.f64 (*.f64 (sqrt.f64 (*.f64 (cos.f64 x) -1/2)) eps) (sqrt.f64 (*.f64 eps (sin.f64 x)))) (-.f64 (*.f64 (sqrt.f64 (*.f64 (cos.f64 x) -1/2)) eps) (sqrt.f64 (*.f64 eps (sin.f64 x)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) (sin.f64 x)) eps)) (+.f64 (pow.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) 3) (pow.f64 (*.f64 eps (sin.f64 x)) 3))))
(/.f64 1 (/.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x))) (pow.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x))) 2)))
(/.f64 (pow.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x))) 2) (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) 3) (pow.f64 (*.f64 eps (sin.f64 x)) 3)) (+.f64 (pow.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) (sin.f64 x)) eps)))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) 3) (pow.f64 (*.f64 eps (sin.f64 x)) 3)) (+.f64 (*.f64 (*.f64 (pow.f64 eps 4) 1/4) (pow.f64 (cos.f64 x) 2)) (-.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) (sin.f64 x)) eps))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) 3) (pow.f64 (*.f64 eps (sin.f64 x)) 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) (sin.f64 x)) eps))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x))) 2)) (neg.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x))) 3) (pow.f64 (+.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps (sin.f64 x))) 3)) (+.f64 (pow.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x))) 2) (-.f64 (*.f64 (+.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps (sin.f64 x))) (+.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps (sin.f64 x)))) (*.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x))) (+.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps (sin.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x))) 2) (*.f64 (+.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps (sin.f64 x))) (+.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps (sin.f64 x))))) (-.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x))) (+.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps (sin.f64 x)))))
(pow.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x))) 1)
(pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x)))) 3)
(pow.f64 (pow.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x))) 2))
(log.f64 (exp.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x))))))
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x)))))
(exp.f64 (log.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x)))))
(fma.f64 1 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) (*.f64 eps (sin.f64 x)))
(fma.f64 1 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x))) (+.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps (sin.f64 x))))
(fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x)))
(fma.f64 (*.f64 -1/2 (pow.f64 eps 2)) (cos.f64 x) (*.f64 eps (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)))) 2) (cbrt.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)))) (*.f64 eps (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x)))) 2) (cbrt.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x)))) (+.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps (sin.f64 x))))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (cos.f64 x) -1/2)) eps) (*.f64 (sqrt.f64 (*.f64 (cos.f64 x) -1/2)) eps) (*.f64 eps (sin.f64 x)))
(fma.f64 (sqrt.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x)))) (sqrt.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x)))) (+.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps (sin.f64 x))))
(fma.f64 (*.f64 (cos.f64 x) -1/2) (pow.f64 eps 2) (*.f64 eps (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 eps 2)))) 1)
(pow.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 eps 2))) 3)
(pow.f64 (pow.f64 (*.f64 -1/2 (pow.f64 eps 2)) 3) 1/3)
(pow.f64 (*.f64 eps (sqrt.f64 -1/2)) 2)
(sqrt.f64 (*.f64 (pow.f64 eps 4) 1/4))
(log.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) -1/2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (pow.f64 eps 2)))))
(cbrt.f64 (pow.f64 (*.f64 -1/2 (pow.f64 eps 2)) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 eps 2))))
(exp.f64 (log.f64 (*.f64 -1/2 (pow.f64 eps 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 -1/2 (pow.f64 eps 2))) 1))
(log1p.f64 (expm1.f64 (*.f64 -1/2 (pow.f64 eps 2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))))) 1)
(pow.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) 1)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)))) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (cos.f64 x) -1/2)) eps) 2)
(sqrt.f64 (*.f64 (*.f64 (pow.f64 eps 4) 1/4) (pow.f64 (cos.f64 x) 2)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) -1/2) (cos.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) 3))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)))))
(exp.f64 (log.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)))))
(-.f64 0 (*.f64 eps (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (sin.f64 x)))) 1)
(pow.f64 (*.f64 eps (sin.f64 x)) 1)
(pow.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 eps (sin.f64 x))) 2)
(neg.f64 (*.f64 eps (sin.f64 x)))
(sqrt.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 2))
(log.f64 (pow.f64 (exp.f64 eps) (sin.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (sin.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 eps (sin.f64 x))))
(exp.f64 (log.f64 (*.f64 eps (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (sin.f64 x))) 1))
(log1p.f64 (expm1.f64 (*.f64 eps (sin.f64 x))))
Outputs
(*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))
(+.f64 (*.f64 -2 (*.f64 x (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))) (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))
(*.f64 -2 (fma.f64 x (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps))) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))
(+.f64 (*.f64 -2 (*.f64 x (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))) (+.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 (pow.f64 x 2) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))
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(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(sin.f64 (*.f64 1/2 eps))
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(*.f64 eps (sin.f64 x))
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(*.f64 eps (sin.f64 x))
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
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(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))
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(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
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(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
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(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
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(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
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(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(sin.f64 x)
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(+.f64 (sin.f64 x) (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 1/2 (*.f64 eps (cos.f64 x)))))
(+.f64 (sin.f64 x) (fma.f64 -1/8 (*.f64 (sin.f64 x) (pow.f64 eps 2)) (*.f64 1/2 (*.f64 eps (cos.f64 x)))))
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(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(sin.f64 (*.f64 1/2 eps))
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(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)))) 1))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)))))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(-.f64 0 (*.f64 eps (sin.f64 x)))
(*.f64 eps (sin.f64 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (sin.f64 x)))) 1)
(*.f64 eps (sin.f64 x))
(pow.f64 (*.f64 eps (sin.f64 x)) 1)
(*.f64 eps (sin.f64 x))
(pow.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) 3)
(*.f64 eps (sin.f64 x))
(pow.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 3) 1/3)
(*.f64 eps (sin.f64 x))
(pow.f64 (sqrt.f64 (*.f64 eps (sin.f64 x))) 2)
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (sin.f64 x))
(sqrt.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 2))
(log.f64 (pow.f64 (exp.f64 eps) (sin.f64 x)))
(*.f64 eps (sin.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (sin.f64 x)))))
(*.f64 eps (sin.f64 x))
(cbrt.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 3))
(*.f64 eps (sin.f64 x))
(expm1.f64 (log1p.f64 (*.f64 eps (sin.f64 x))))
(*.f64 eps (sin.f64 x))
(exp.f64 (log.f64 (*.f64 eps (sin.f64 x))))
(*.f64 eps (sin.f64 x))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (sin.f64 x))) 1))
(*.f64 eps (sin.f64 x))
(log1p.f64 (expm1.f64 (*.f64 eps (sin.f64 x))))
(*.f64 eps (sin.f64 x))

eval142.0ms (1%)

Compiler

Compiled 7895 to 4888 computations (38.1% saved)

prune93.0ms (0.7%)

Pruning

17 alts after pruning (15 fresh and 2 done)

PrunedKeptTotal
New35813371
Fresh022
Picked415
Done011
Total36217379
Accuracy
100.0%
Counts
379 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.5%
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))
72.4%
(pow.f64 (sqrt.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 2)
✓52.3%
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
99.5%
(+.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) (*.f64 (sin.f64 x) (+.f64 (neg.f64 eps) (*.f64 1/6 (pow.f64 eps 3)))))
▶98.0%
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
98.2%
(*.f64 (fma.f64 x (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps))) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) -2)
▶73.1%
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 2) -2)
54.4%
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 2) (*.f64 -2 (sin.f64 (*.f64 eps 1/2))))
98.8%
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps 0))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 3) -2)
52.9%
(*.f64 (*.f64 (sin.f64 (*.f64 (log.f64 (exp.f64 (-.f64 eps 0))) 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
96.0%
(*.f64 (*.f64 (sin.f64 (*.f64 (exp.f64 (log.f64 (-.f64 eps 0))) 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
▶81.8%
(*.f64 (*.f64 (sin.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 eps 0) 3)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
▶99.7%
(*.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
78.4%
(*.f64 (*.f64 1/2 (*.f64 eps (sin.f64 x))) -2)
✓78.4%
(*.f64 (sin.f64 x) (neg.f64 eps))
▶50.2%
(*.f64 eps x)
77.9%
(*.f64 -1 (*.f64 eps x))
52.5%
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))
72.4%
(pow.f64 (sqrt.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 2)
✓52.3%
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
99.5%
(+.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) (*.f64 (sin.f64 x) (+.f64 (neg.f64 eps) (*.f64 1/6 (pow.f64 eps 3)))))
▶98.0%
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
98.2%
(*.f64 (fma.f64 x (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps))) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) -2)
▶73.1%
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 2) -2)
54.4%
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 2) (*.f64 -2 (sin.f64 (*.f64 eps 1/2))))
98.8%
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps 0))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 3) -2)
52.9%
(*.f64 (*.f64 (sin.f64 (*.f64 (log.f64 (exp.f64 (-.f64 eps 0))) 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
96.0%
(*.f64 (*.f64 (sin.f64 (*.f64 (exp.f64 (log.f64 (-.f64 eps 0))) 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
▶81.8%
(*.f64 (*.f64 (sin.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 eps 0) 3)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
▶99.7%
(*.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
78.4%
(*.f64 (*.f64 1/2 (*.f64 eps (sin.f64 x))) -2)
✓78.4%
(*.f64 (sin.f64 x) (neg.f64 eps))
▶50.2%
(*.f64 eps x)
77.9%
(*.f64 -1 (*.f64 eps x))
Compiler

Compiled 1048 to 830 computations (20.8% saved)

localize368.0ms (2.7%)

Localize:

Found 13 expressions with local error:

NewAccuracyProgram
99.9%
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))
✓99.9%
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
✓99.7%
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 2)
✓73.6%
(sqrt.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
✓100.0%
(*.f64 (*.f64 (sin.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 eps 0) 3)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
99.9%
(sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))
✓99.9%
(*.f64 (sin.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 eps 0) 3)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)))
✓66.0%
(cbrt.f64 (pow.f64 (-.f64 eps 0) 3))
100.0%
(*.f64 -1/2 (pow.f64 eps 2))
✓99.9%
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
✓100.0%
(*.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
99.9%
(sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))
✓99.9%
(*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)))
Compiler

Compiled 286 to 177 computations (38.1% saved)

series15.0ms (0.1%)

Counts
9 → 146
Calls

51 calls:

TimeVariablePointExpression
2.0ms
eps
@-inf
(cbrt.f64 (pow.f64 (-.f64 eps 0) 3))
1.0ms
eps
@0
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 2)
1.0ms
eps
@0
(sqrt.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
1.0ms
x
@0
(sqrt.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
1.0ms
x
@0
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 2)

rewrite149.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
557×log1p-expm1-u
450×expm1-udef
450×log1p-udef
366×associate-*r*
242×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
044364
1721180
26781180
Stop Event
1×node limit
Counts
9 → 247
Calls
Call 1
Inputs
(*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)))
(*.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(cbrt.f64 (pow.f64 (-.f64 eps 0) 3))
(*.f64 (sin.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 eps 0) 3)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)))
(*.f64 (*.f64 (sin.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 eps 0) 3)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
(sqrt.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 2)
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
Outputs
(-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 1/2 eps)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) 1)
(-.f64 (/.f64 (cos.f64 (*.f64 1/2 (-.f64 eps eps))) 2) (/.f64 (cos.f64 (*.f64 1/2 (+.f64 eps eps))) 2))
(/.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps eps))) (cos.f64 (*.f64 1/2 (+.f64 eps eps)))) 2)
(/.f64 1 (/.f64 2 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps eps))) (cos.f64 (*.f64 1/2 (+.f64 eps eps))))))
(/.f64 (neg.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps eps))) (cos.f64 (*.f64 1/2 (+.f64 eps eps))))) -2)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 1)
(pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2) 3)
(pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4) 1/2)
(pow.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3) 1/3)
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4))
(log.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))
(exp.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 1/2 eps)))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 1/2 eps)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))) 1)
(/.f64 (*.f64 -2 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps eps))) (cos.f64 (*.f64 1/2 (+.f64 eps eps))))) 2)
(/.f64 (*.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps eps))) (cos.f64 (*.f64 1/2 (+.f64 eps eps)))) -2) 2)
(pow.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) 3)
(pow.f64 (pow.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) 3) 1/3)
(pow.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sqrt.f64 -2)) 2)
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4) 4))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) -2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))))
(cbrt.f64 (pow.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) 3))
(expm1.f64 (log1p.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))
(exp.f64 (log.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) 1))
(log1p.f64 (expm1.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))
(-.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 x eps))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 (pow.f64 eps 2) (*.f64 x eps)))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 x eps) 2) (+.f64 (*.f64 x eps) (*.f64 1/2 (pow.f64 eps 2)))) (/.f64 (*.f64 (pow.f64 eps 4) 1/4) (+.f64 (*.f64 x eps) (*.f64 1/2 (pow.f64 eps 2)))))
(*.f64 (fma.f64 -1/2 (pow.f64 eps 2) (*.f64 x eps)) 1)
(*.f64 1 (fma.f64 -1/2 (pow.f64 eps 2) (*.f64 x eps)))
(*.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 eps 2) (*.f64 x eps))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 eps 2) (*.f64 x eps))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 eps 2) (*.f64 x eps))) 2) (cbrt.f64 (fma.f64 -1/2 (pow.f64 eps 2) (*.f64 x eps))))
(*.f64 (sqrt.f64 (fma.f64 -1/2 (pow.f64 eps 2) (*.f64 x eps))) (sqrt.f64 (fma.f64 -1/2 (pow.f64 eps 2) (*.f64 x eps))))
(*.f64 (+.f64 (pow.f64 (*.f64 x eps) 3) (*.f64 (pow.f64 eps 6) -1/8)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x eps) 2) (*.f64 (*.f64 -1/2 (pow.f64 eps 2)) (fma.f64 -1/2 (pow.f64 eps 2) (*.f64 x eps))))))
(*.f64 (-.f64 (pow.f64 (*.f64 x eps) 2) (*.f64 (pow.f64 eps 4) 1/4)) (/.f64 1 (+.f64 (*.f64 x eps) (*.f64 1/2 (pow.f64 eps 2)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 x eps) 2) (*.f64 (*.f64 -1/2 (pow.f64 eps 2)) (fma.f64 -1/2 (pow.f64 eps 2) (*.f64 x eps)))) (+.f64 (pow.f64 (*.f64 x eps) 3) (*.f64 (pow.f64 eps 6) -1/8))))
(/.f64 1 (/.f64 (+.f64 (*.f64 x eps) (*.f64 1/2 (pow.f64 eps 2))) (-.f64 (pow.f64 (*.f64 x eps) 2) (*.f64 (pow.f64 eps 4) 1/4))))
(/.f64 (+.f64 (pow.f64 (*.f64 x eps) 3) (*.f64 (pow.f64 eps 6) -1/8)) (+.f64 (pow.f64 (*.f64 x eps) 2) (*.f64 (*.f64 -1/2 (pow.f64 eps 2)) (fma.f64 -1/2 (pow.f64 eps 2) (*.f64 x eps)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x eps) 3) (*.f64 (pow.f64 eps 6) -1/8)) (+.f64 (*.f64 (pow.f64 eps 4) 1/4) (-.f64 (pow.f64 (*.f64 x eps) 2) (*.f64 (*.f64 x eps) (*.f64 -1/2 (pow.f64 eps 2))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x eps) 2) (*.f64 (pow.f64 eps 4) 1/4)) (+.f64 (*.f64 x eps) (*.f64 1/2 (pow.f64 eps 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x eps) 3) (*.f64 (pow.f64 eps 6) -1/8))) (neg.f64 (+.f64 (pow.f64 (*.f64 x eps) 2) (*.f64 (*.f64 -1/2 (pow.f64 eps 2)) (fma.f64 -1/2 (pow.f64 eps 2) (*.f64 x eps))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x eps) 2) (*.f64 (pow.f64 eps 4) 1/4))) (neg.f64 (+.f64 (*.f64 x eps) (*.f64 1/2 (pow.f64 eps 2)))))
(/.f64 (-.f64 (*.f64 (pow.f64 eps 4) 1/4) (pow.f64 (*.f64 x eps) 2)) (fma.f64 -1/2 (pow.f64 eps 2) (*.f64 x eps)))
(pow.f64 (fma.f64 -1/2 (pow.f64 eps 2) (*.f64 x eps)) 1)
(pow.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 eps 2) (*.f64 x eps))) 3)
(pow.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 eps 2) (*.f64 x eps)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -1/2 (pow.f64 eps 2) (*.f64 x eps))) 2)
(sqrt.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 eps 2) (*.f64 x eps)) 2))
(log.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 eps 2) (*.f64 x eps))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 (pow.f64 eps 2) (*.f64 x eps)))))
(cbrt.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 eps 2) (*.f64 x eps)) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/2 (pow.f64 eps 2) (*.f64 x eps))))
(exp.f64 (log.f64 (fma.f64 -1/2 (pow.f64 eps 2) (*.f64 x eps))))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/2 (pow.f64 eps 2) (*.f64 x eps))) 1))
(log1p.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 eps 2) (*.f64 x eps))))
(fma.f64 -1 (*.f64 x eps) (*.f64 -1/2 (pow.f64 eps 2)))
(fma.f64 (*.f64 x eps) -1 (*.f64 -1/2 (pow.f64 eps 2)))
(fma.f64 -1/2 (pow.f64 eps 2) (*.f64 x eps))
(fma.f64 (pow.f64 eps 2) -1/2 (*.f64 x eps))
(fma.f64 1 (*.f64 x eps) (*.f64 -1/2 (pow.f64 eps 2)))
(fma.f64 1 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 x eps))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x eps)) 2) (cbrt.f64 (*.f64 x eps)) (*.f64 -1/2 (pow.f64 eps 2)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 eps 4) 1/4)) (cbrt.f64 (*.f64 -1/2 (pow.f64 eps 2))) (*.f64 x eps))
(fma.f64 (sqrt.f64 (*.f64 x eps)) (sqrt.f64 (*.f64 x eps)) (*.f64 -1/2 (pow.f64 eps 2)))
(fma.f64 (*.f64 eps (sqrt.f64 -1/2)) (*.f64 eps (sqrt.f64 -1/2)) (*.f64 x eps))
(fma.f64 (neg.f64 eps) x (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 x (+.f64 x eps))
(+.f64 0 eps)
(+.f64 eps 0)
(+.f64 eps (fma.f64 (neg.f64 x) 2 0))
(+.f64 eps (fma.f64 0 1 0))
(+.f64 eps (*.f64 -2 x))
(+.f64 (+.f64 x eps) x)
(+.f64 (*.f64 (+.f64 x eps) 1) x)
(-.f64 eps 0)
(-.f64 eps (/.f64 0 (pow.f64 eps 2)))
(-.f64 eps (/.f64 0 eps))
(-.f64 (exp.f64 (log1p.f64 eps)) 1)
(-.f64 (-.f64 eps x) x)
(*.f64 (pow.f64 eps 2) (/.f64 1 eps))
(*.f64 eps 1)
(*.f64 (pow.f64 eps 3) (/.f64 1 (pow.f64 eps 2)))
(*.f64 1 eps)
(*.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) 2))
(*.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 eps))
(*.f64 (sqrt.f64 eps) (sqrt.f64 eps))
(*.f64 (pow.f64 1 1/3) eps)
(*.f64 (pow.f64 (pow.f64 eps 3/2) 1/3) (pow.f64 (pow.f64 eps 3/2) 1/3))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 eps 4))) (sqrt.f64 (pow.f64 (cbrt.f64 eps) 2)))
(*.f64 (+.f64 (sqrt.f64 eps) 0) (-.f64 (sqrt.f64 eps) 0))
(*.f64 (/.f64 (pow.f64 eps 2) (pow.f64 eps 3)) (pow.f64 eps 2))
(*.f64 (/.f64 (pow.f64 eps 2) (pow.f64 eps 2)) eps)
(/.f64 (pow.f64 eps 2) eps)
(/.f64 (pow.f64 eps 3) (pow.f64 eps 2))
(/.f64 1 (/.f64 eps (pow.f64 eps 2)))
(/.f64 1 (/.f64 (pow.f64 eps 2) (pow.f64 eps 3)))
(/.f64 (neg.f64 (pow.f64 eps 2)) (neg.f64 eps))
(/.f64 (+.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) (pow.f64 eps 2)) (*.f64 (fma.f64 x x 0) (pow.f64 eps 3))) (*.f64 (fma.f64 x x 0) (pow.f64 eps 2)))
(/.f64 (+.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) eps) (*.f64 (fma.f64 x x 0) (pow.f64 eps 2))) (*.f64 (fma.f64 x x 0) eps))
(/.f64 (+.f64 (*.f64 0 (pow.f64 eps 2)) (*.f64 0 (pow.f64 eps 3))) (*.f64 0 (pow.f64 eps 2)))
(/.f64 (+.f64 0 (*.f64 0 (pow.f64 eps 2))) 0)
(/.f64 (+.f64 (*.f64 (pow.f64 eps 3) (fma.f64 x x 0)) (*.f64 (pow.f64 eps 2) (*.f64 2 (pow.f64 x 3)))) (*.f64 (pow.f64 eps 2) (fma.f64 x x 0)))
(/.f64 (+.f64 (*.f64 (pow.f64 eps 3) 0) (*.f64 (pow.f64 eps 2) 0)) (*.f64 (pow.f64 eps 2) 0))
(/.f64 (+.f64 (*.f64 (pow.f64 eps 2) (fma.f64 x x 0)) (*.f64 eps (*.f64 2 (pow.f64 x 3)))) (*.f64 eps (fma.f64 x x 0)))
(/.f64 (+.f64 (*.f64 (pow.f64 eps 2) 0) 0) 0)
(/.f64 (-.f64 (*.f64 (pow.f64 eps 3) (fma.f64 x x 0)) (*.f64 (pow.f64 eps 2) (*.f64 2 (pow.f64 x 3)))) (*.f64 (pow.f64 eps 2) (fma.f64 x x 0)))
(/.f64 (-.f64 (*.f64 (pow.f64 eps 3) 0) (*.f64 (pow.f64 eps 2) 0)) (*.f64 (pow.f64 eps 2) 0))
(/.f64 (-.f64 (*.f64 (pow.f64 eps 2) (fma.f64 x x 0)) (*.f64 eps (*.f64 2 (pow.f64 x 3)))) (*.f64 eps (fma.f64 x x 0)))
(/.f64 (-.f64 (*.f64 (pow.f64 eps 2) 0) 0) 0)
(/.f64 (neg.f64 (pow.f64 eps 3)) (neg.f64 (pow.f64 eps 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 x eps) 3) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 x eps) (+.f64 x eps)) (-.f64 (pow.f64 x 2) (*.f64 (+.f64 x eps) x))))
(/.f64 (-.f64 0 (pow.f64 eps 2)) (-.f64 0 eps))
(/.f64 (-.f64 (*.f64 (+.f64 x eps) (+.f64 x eps)) (pow.f64 x 2)) (-.f64 (+.f64 x eps) x))
(/.f64 (/.f64 (pow.f64 eps 2) 1) eps)
(/.f64 (/.f64 (pow.f64 eps 2) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps))
(/.f64 (/.f64 (pow.f64 eps 2) (sqrt.f64 eps)) (sqrt.f64 eps))
(pow.f64 (pow.f64 eps 2) 1/2)
(pow.f64 eps 1)
(pow.f64 (pow.f64 eps 3) 1/3)
(pow.f64 (cbrt.f64 eps) 3)
(pow.f64 (sqrt.f64 eps) 2)
(sqrt.f64 (pow.f64 eps 2))
(fabs.f64 eps)
(log.f64 (exp.f64 eps))
(log.f64 (+.f64 1 (expm1.f64 eps)))
eps
(expm1.f64 (log1p.f64 eps))
(exp.f64 (log.f64 eps))
(exp.f64 (*.f64 (log.f64 eps) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 eps 3)) 1/3))
(log1p.f64 (expm1.f64 eps))
(fma.f64 2 x eps)
(fma.f64 0 0 eps)
(fma.f64 1 0 eps)
(fma.f64 1 eps 0)
(fma.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 eps) 0)
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) 0)
(-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 1/2 eps)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) 1)
(-.f64 (/.f64 (cos.f64 (*.f64 1/2 (-.f64 eps eps))) 2) (/.f64 (cos.f64 (*.f64 1/2 (+.f64 eps eps))) 2))
(/.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps eps))) (cos.f64 (*.f64 1/2 (+.f64 eps eps)))) 2)
(/.f64 1 (/.f64 2 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps eps))) (cos.f64 (*.f64 1/2 (+.f64 eps eps))))))
(/.f64 (neg.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps eps))) (cos.f64 (*.f64 1/2 (+.f64 eps eps))))) -2)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 1)
(pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2) 3)
(pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4) 1/2)
(pow.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3) 1/3)
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4))
(log.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))
(exp.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 1/2 eps)))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 1/2 eps)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))) 1)
(/.f64 (*.f64 -2 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps eps))) (cos.f64 (*.f64 1/2 (+.f64 eps eps))))) 2)
(/.f64 (*.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps eps))) (cos.f64 (*.f64 1/2 (+.f64 eps eps)))) -2) 2)
(pow.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) 3)
(pow.f64 (pow.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) 3) 1/3)
(pow.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sqrt.f64 -2)) 2)
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4) 4))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) -2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))))
(cbrt.f64 (pow.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) 3))
(expm1.f64 (log1p.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))
(exp.f64 (log.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) 1))
(log1p.f64 (expm1.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 1/2 eps)))) 1)
(*.f64 (sin.f64 (*.f64 1/2 eps)) 1)
(*.f64 1 (sin.f64 (*.f64 1/2 eps)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2) (cbrt.f64 (sin.f64 (*.f64 1/2 eps))))
(*.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 eps))) (sqrt.f64 (sin.f64 (*.f64 1/2 eps))))
(*.f64 (pow.f64 1 1/2) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2) 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2)))
(/.f64 (sqrt.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps eps))) (cos.f64 (*.f64 1/2 (+.f64 eps eps))))) (sqrt.f64 2))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 1)
(pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 1/2)
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 3)
(pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 3) 1/3)
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 eps))) 2)
(fabs.f64 (sin.f64 (*.f64 1/2 eps)))
(log.f64 (exp.f64 (sin.f64 (*.f64 1/2 eps))))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 1/2 eps)))))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 3))
(sin.f64 (*.f64 1/2 eps))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 1/2 eps))))
(exp.f64 (log.f64 (sin.f64 (*.f64 1/2 eps))))
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 1/2 eps))) 1))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 1/2 eps)))) 1/2))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 1/2 eps))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 1/2 eps)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) 1)
(-.f64 (/.f64 (cos.f64 (*.f64 1/2 (-.f64 eps eps))) 2) (/.f64 (cos.f64 (*.f64 1/2 (+.f64 eps eps))) 2))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 1)
(*.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps eps))) (cos.f64 (*.f64 1/2 (+.f64 eps eps)))) 1/2)
(*.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2) (*.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 eps))) (*.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sqrt.f64 (sin.f64 (*.f64 1/2 eps)))) (sqrt.f64 (sin.f64 (*.f64 1/2 eps))))
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2)) (cbrt.f64 (sin.f64 (*.f64 1/2 eps))))
(/.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps eps))) (cos.f64 (*.f64 1/2 (+.f64 eps eps)))) 2)
(/.f64 1 (/.f64 2 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps eps))) (cos.f64 (*.f64 1/2 (+.f64 eps eps))))))
(/.f64 (neg.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps eps))) (cos.f64 (*.f64 1/2 (+.f64 eps eps))))) -2)
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4))
(log.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))
(exp.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 1/2 eps)))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 1/2 eps)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 1/2 eps)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) 1)
(-.f64 (/.f64 (cos.f64 (*.f64 1/2 (-.f64 eps eps))) 2) (/.f64 (cos.f64 (*.f64 1/2 (+.f64 eps eps))) 2))
(/.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps eps))) (cos.f64 (*.f64 1/2 (+.f64 eps eps)))) 2)
(/.f64 1 (/.f64 2 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps eps))) (cos.f64 (*.f64 1/2 (+.f64 eps eps))))))
(/.f64 (neg.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps eps))) (cos.f64 (*.f64 1/2 (+.f64 eps eps))))) -2)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 1)
(pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2) 3)
(pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4) 1/2)
(pow.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3) 1/3)
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4))
(log.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))
(exp.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 1/2 eps)))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 1/2 eps)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))

simplify130.0ms (1%)

Algorithm
1×egg-herbie
Rules
954×associate-*r*
756×fma-def
740×associate-*l*
336×*-commutative
298×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050313487
1121013487
Stop Event
1×node limit
Counts
393 → 230
Calls
Call 1
Inputs
(*.f64 1/2 (*.f64 eps (sin.f64 x)))
(+.f64 (*.f64 1/4 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 1/2 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 1/4 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (*.f64 1/2 (*.f64 eps (sin.f64 x))) (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/16 (sin.f64 x)) (*.f64 -1/48 (sin.f64 x))))))
(+.f64 (*.f64 -1/48 (*.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (*.f64 1/2 (*.f64 eps (sin.f64 x))) (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/16 (sin.f64 x)) (*.f64 -1/48 (sin.f64 x)))))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(+.f64 (*.f64 x (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) (+.f64 (*.f64 x (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 x 3) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))) (+.f64 (*.f64 x (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))))
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(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 1)
(*.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps eps))) (cos.f64 (*.f64 1/2 (+.f64 eps eps)))) 1/2)
(*.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2) (*.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 eps))) (*.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sqrt.f64 (sin.f64 (*.f64 1/2 eps)))) (sqrt.f64 (sin.f64 (*.f64 1/2 eps))))
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2)) (cbrt.f64 (sin.f64 (*.f64 1/2 eps))))
(/.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps eps))) (cos.f64 (*.f64 1/2 (+.f64 eps eps)))) 2)
(/.f64 1 (/.f64 2 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps eps))) (cos.f64 (*.f64 1/2 (+.f64 eps eps))))))
(/.f64 (neg.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps eps))) (cos.f64 (*.f64 1/2 (+.f64 eps eps))))) -2)
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4))
(log.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))
(exp.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 1/2 eps)))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 1/2 eps)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 1/2 eps)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) 1)
(-.f64 (/.f64 (cos.f64 (*.f64 1/2 (-.f64 eps eps))) 2) (/.f64 (cos.f64 (*.f64 1/2 (+.f64 eps eps))) 2))
(/.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps eps))) (cos.f64 (*.f64 1/2 (+.f64 eps eps)))) 2)
(/.f64 1 (/.f64 2 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps eps))) (cos.f64 (*.f64 1/2 (+.f64 eps eps))))))
(/.f64 (neg.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps eps))) (cos.f64 (*.f64 1/2 (+.f64 eps eps))))) -2)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 1)
(pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2) 3)
(pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4) 1/2)
(pow.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3) 1/3)
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4))
(log.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))
(exp.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 1/2 eps)))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 1/2 eps)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))
Outputs
(*.f64 1/2 (*.f64 eps (sin.f64 x)))
(*.f64 (*.f64 1/2 eps) (sin.f64 x))
(+.f64 (*.f64 1/4 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 1/2 (*.f64 eps (sin.f64 x))))
(fma.f64 1/4 (*.f64 (pow.f64 eps 2) (cos.f64 x)) (*.f64 (*.f64 1/2 eps) (sin.f64 x)))
(+.f64 (*.f64 1/4 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (*.f64 1/2 (*.f64 eps (sin.f64 x))) (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/16 (sin.f64 x)) (*.f64 -1/48 (sin.f64 x))))))
(fma.f64 1/4 (*.f64 (pow.f64 eps 2) (cos.f64 x)) (fma.f64 1/2 (*.f64 eps (sin.f64 x)) (*.f64 (pow.f64 eps 3) (*.f64 (sin.f64 x) -1/12))))
(+.f64 (*.f64 -1/48 (*.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (*.f64 1/2 (*.f64 eps (sin.f64 x))) (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/16 (sin.f64 x)) (*.f64 -1/48 (sin.f64 x)))))))
(fma.f64 -1/48 (*.f64 (cos.f64 x) (pow.f64 eps 4)) (fma.f64 1/4 (*.f64 (pow.f64 eps 2) (cos.f64 x)) (fma.f64 1/2 (*.f64 eps (sin.f64 x)) (*.f64 (pow.f64 eps 3) (*.f64 (sin.f64 x) -1/12)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(+.f64 (*.f64 x (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))
(fma.f64 x (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps))) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) (+.f64 (*.f64 x (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))
(fma.f64 -1/2 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (pow.f64 x 2)) (fma.f64 x (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps))) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 x 3) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))) (+.f64 (*.f64 x (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))
(fma.f64 -1/2 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (pow.f64 x 2)) (fma.f64 -1/6 (*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps))) (pow.f64 x 3)) (fma.f64 x (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps))) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 (*.f64 1/2 eps) (sin.f64 x))
(+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(fma.f64 1/4 (*.f64 (pow.f64 eps 2) (cos.f64 x)) (*.f64 (*.f64 1/2 eps) (sin.f64 x)))
(+.f64 (*.f64 -2 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/16 (sin.f64 x)) (*.f64 -1/48 (sin.f64 x))))) (+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))))
(fma.f64 1/4 (*.f64 (pow.f64 eps 2) (cos.f64 x)) (fma.f64 1/2 (*.f64 eps (sin.f64 x)) (*.f64 (pow.f64 eps 3) (*.f64 (sin.f64 x) -1/12))))
(+.f64 (*.f64 -2 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/16 (sin.f64 x)) (*.f64 -1/48 (sin.f64 x))))) (+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x))))))
(fma.f64 -2 (*.f64 (pow.f64 eps 3) (*.f64 (sin.f64 x) -1/12)) (fma.f64 -1 (*.f64 eps (sin.f64 x)) (fma.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)) (*.f64 (*.f64 (cos.f64 x) (pow.f64 eps 4)) 1/24))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(+.f64 (*.f64 -2 (*.f64 x (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))) (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))
(fma.f64 x (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps))) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))
(+.f64 (*.f64 -2 (*.f64 x (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))) (+.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 (pow.f64 x 2) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))
(fma.f64 -1/2 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (pow.f64 x 2)) (fma.f64 x (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps))) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))
(+.f64 (*.f64 -2 (*.f64 x (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))) (+.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 x 3) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))) (*.f64 (pow.f64 x 2) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))))
(+.f64 (*.f64 -2 (fma.f64 x (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps))) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) (fma.f64 1/3 (*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps))) (pow.f64 x 3)) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (pow.f64 x 2))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 -1 (*.f64 eps x))
(neg.f64 (*.f64 eps x))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 (pow.f64 eps 2) -1/2)
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 (pow.f64 eps 2) -1/2)
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 (pow.f64 eps 2) -1/2)
(*.f64 -1 (*.f64 eps x))
(neg.f64 (*.f64 eps x))
(*.f64 -1 (*.f64 eps x))
(neg.f64 (*.f64 eps x))
eps
(*.f64 (pow.f64 eps 2) -1/2)
eps
(*.f64 (pow.f64 eps 2) -1/2)
eps
(*.f64 (pow.f64 eps 2) -1/2)
eps
(*.f64 (pow.f64 eps 2) -1/2)
eps
(*.f64 (pow.f64 eps 2) -1/2)
eps
(*.f64 (pow.f64 eps 2) -1/2)
eps
(*.f64 (pow.f64 eps 2) -1/2)
eps
(*.f64 (pow.f64 eps 2) -1/2)
(*.f64 -1 (*.f64 eps (cbrt.f64 -1)))
(*.f64 (pow.f64 eps 2) -1/2)
(*.f64 -1 (*.f64 eps (cbrt.f64 -1)))
(*.f64 (pow.f64 eps 2) -1/2)
(*.f64 -1 (*.f64 eps (cbrt.f64 -1)))
(*.f64 (pow.f64 eps 2) -1/2)
(*.f64 -1 (*.f64 eps (cbrt.f64 -1)))
(*.f64 (pow.f64 eps 2) -1/2)
(*.f64 1/2 (*.f64 eps (sin.f64 x)))
(*.f64 (*.f64 1/2 eps) (sin.f64 x))
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(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(*.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 eps))) (*.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 eps))))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sqrt.f64 (sin.f64 (*.f64 1/2 eps)))) (sqrt.f64 (sin.f64 (*.f64 1/2 eps))))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2)) (cbrt.f64 (sin.f64 (*.f64 1/2 eps))))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(/.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps eps))) (cos.f64 (*.f64 1/2 (+.f64 eps eps)))) 2)
(*.f64 (pow.f64 eps 2) -1/2)
(/.f64 1 (/.f64 2 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps eps))) (cos.f64 (*.f64 1/2 (+.f64 eps eps))))))
(*.f64 (pow.f64 eps 2) -1/2)
(/.f64 (neg.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps eps))) (cos.f64 (*.f64 1/2 (+.f64 eps eps))))) -2)
(*.f64 (pow.f64 eps 2) -1/2)
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(log.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(exp.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 1/2 eps)))))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 1/2 eps)))) 1))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 1/2 eps)))))
(*.f64 (pow.f64 eps 2) -1/2)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) 1)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(-.f64 (/.f64 (cos.f64 (*.f64 1/2 (-.f64 eps eps))) 2) (/.f64 (cos.f64 (*.f64 1/2 (+.f64 eps eps))) 2))
(*.f64 (pow.f64 eps 2) -1/2)
(/.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps eps))) (cos.f64 (*.f64 1/2 (+.f64 eps eps)))) 2)
(*.f64 (pow.f64 eps 2) -1/2)
(/.f64 1 (/.f64 2 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps eps))) (cos.f64 (*.f64 1/2 (+.f64 eps eps))))))
(*.f64 (pow.f64 eps 2) -1/2)
(/.f64 (neg.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps eps))) (cos.f64 (*.f64 1/2 (+.f64 eps eps))))) -2)
(*.f64 (pow.f64 eps 2) -1/2)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 1)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2) 3)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4) 1/2)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(pow.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3) 1/3)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(log.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(exp.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 1/2 eps)))))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 1/2 eps)))) 1))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)

eval123.0ms (0.9%)

Compiler

Compiled 5701 to 4202 computations (26.3% saved)

prune62.0ms (0.5%)

Pruning

14 alts after pruning (10 fresh and 4 done)

PrunedKeptTotal
New2817288
Fresh7310
Picked325
Done022
Total29114305
Accuracy
100.0%
Counts
305 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.2%
(fma.f64 (neg.f64 eps) x (*.f64 -1/2 (pow.f64 eps 2)))
52.5%
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))
▶98.0%
(-.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 x eps))
✓52.3%
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
▶99.5%
(+.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) (*.f64 (sin.f64 x) (+.f64 (neg.f64 eps) (*.f64 1/6 (pow.f64 eps 3)))))
98.8%
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps 0))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 3) -2)
78.4%
(*.f64 (*.f64 (*.f64 1/2 eps) (sin.f64 x)) -2)
▶79.7%
(*.f64 (*.f64 (sin.f64 (*.f64 (pow.f64 (pow.f64 eps 3) 1/3) 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
52.9%
(*.f64 (*.f64 (sin.f64 (*.f64 (log.f64 (exp.f64 eps)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
▶96.0%
(*.f64 (*.f64 (sin.f64 (*.f64 (exp.f64 (log.f64 eps)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
✓99.7%
(*.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
✓78.4%
(*.f64 (sin.f64 x) (neg.f64 eps))
✓50.2%
(*.f64 eps x)
▶77.9%
(neg.f64 (*.f64 eps x))
98.2%
(fma.f64 (neg.f64 eps) x (*.f64 -1/2 (pow.f64 eps 2)))
52.5%
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))
▶98.0%
(-.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 x eps))
✓52.3%
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
▶99.5%
(+.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) (*.f64 (sin.f64 x) (+.f64 (neg.f64 eps) (*.f64 1/6 (pow.f64 eps 3)))))
98.8%
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps 0))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 3) -2)
78.4%
(*.f64 (*.f64 (*.f64 1/2 eps) (sin.f64 x)) -2)
▶79.7%
(*.f64 (*.f64 (sin.f64 (*.f64 (pow.f64 (pow.f64 eps 3) 1/3) 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
52.9%
(*.f64 (*.f64 (sin.f64 (*.f64 (log.f64 (exp.f64 eps)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
▶96.0%
(*.f64 (*.f64 (sin.f64 (*.f64 (exp.f64 (log.f64 eps)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
✓99.7%
(*.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
✓78.4%
(*.f64 (sin.f64 x) (neg.f64 eps))
✓50.2%
(*.f64 eps x)
▶77.9%
(neg.f64 (*.f64 eps x))
Compiler

Compiled 704 to 538 computations (23.6% saved)

localize287.0ms (2.1%)

Localize:

Found 14 expressions with local error:

NewAccuracyProgram
✓100.0%
(*.f64 (*.f64 (sin.f64 (*.f64 (pow.f64 (pow.f64 eps 3) 1/3) 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
99.9%
(sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))
✓99.8%
(*.f64 (sin.f64 (*.f64 (pow.f64 (pow.f64 eps 3) 1/3) 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)))
✓34.3%
(pow.f64 (pow.f64 eps 3) 1/3)
✓100.0%
(*.f64 (*.f64 (sin.f64 (*.f64 (exp.f64 (log.f64 eps)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
99.9%
(sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))
✓99.8%
(*.f64 (sin.f64 (*.f64 (exp.f64 (log.f64 eps)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)))
✓91.0%
(exp.f64 (log.f64 eps))
100.0%
(*.f64 -1/2 (pow.f64 eps 2))
✓99.8%
(-.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 x eps))
100.0%
(*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)))
100.0%
(*.f64 -1/2 (pow.f64 eps 2))
✓99.8%
(+.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) (*.f64 (sin.f64 x) (+.f64 (neg.f64 eps) (*.f64 1/6 (pow.f64 eps 3)))))
✓99.7%
(*.f64 1/6 (pow.f64 eps 3))
Compiler

Compiled 274 to 150 computations (45.3% saved)

series17.0ms (0.1%)

Counts
9 → 168
Calls

45 calls:

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

rewrite83.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
552×associate-*r*
275×log1p-expm1-u
275×expm1-log1p-u
272×prod-diff
265×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
043334
1670306
Stop Event
1×node limit
Counts
9 → 235
Calls
Call 1
Inputs
(*.f64 1/6 (pow.f64 eps 3))
(+.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) (*.f64 (sin.f64 x) (+.f64 (neg.f64 eps) (*.f64 1/6 (pow.f64 eps 3)))))
(-.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 x eps))
(exp.f64 (log.f64 eps))
(*.f64 (sin.f64 (*.f64 (exp.f64 (log.f64 eps)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)))
(*.f64 (*.f64 (sin.f64 (*.f64 (exp.f64 (log.f64 eps)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
(pow.f64 (pow.f64 eps 3) 1/3)
(*.f64 (sin.f64 (*.f64 (pow.f64 (pow.f64 eps 3) 1/3) 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)))
(*.f64 (*.f64 (sin.f64 (*.f64 (pow.f64 (pow.f64 eps 3) 1/3) 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/6 (pow.f64 eps 3)))) 1)
(pow.f64 (*.f64 1/6 (pow.f64 eps 3)) 1)
(pow.f64 (*.f64 eps (cbrt.f64 1/6)) 3)
(pow.f64 (*.f64 (pow.f64 (pow.f64 eps 3) 3) 1/216) 1/3)
(pow.f64 (*.f64 (pow.f64 eps 3/2) (sqrt.f64 1/6)) 2)
(sqrt.f64 (*.f64 (pow.f64 eps 6) 1/36))
(log.f64 (pow.f64 (exp.f64 1/6) (pow.f64 eps 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/6 (pow.f64 eps 3)))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 eps 3) 3) 1/216))
(expm1.f64 (log1p.f64 (*.f64 1/6 (pow.f64 eps 3))))
(exp.f64 (log.f64 (*.f64 1/6 (pow.f64 eps 3))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/6 (pow.f64 eps 3))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/6 (pow.f64 eps 3))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 (sin.f64 x) (fma.f64 1/6 (pow.f64 eps 3) eps))))) 1)
(-.f64 (/.f64 (*.f64 (*.f64 (pow.f64 eps 4) 1/4) (pow.f64 (cos.f64 x) 2)) (-.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) (*.f64 (sin.f64 x) (fma.f64 1/6 (pow.f64 eps 3) eps)))) (/.f64 (pow.f64 (*.f64 (sin.f64 x) (fma.f64 1/6 (pow.f64 eps 3) eps)) 2) (-.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) (*.f64 (sin.f64 x) (fma.f64 1/6 (pow.f64 eps 3) eps)))))
(*.f64 1 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 (sin.f64 x) (fma.f64 1/6 (pow.f64 eps 3) eps))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 (sin.f64 x) (fma.f64 1/6 (pow.f64 eps 3) eps)))) 2) (cbrt.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 (sin.f64 x) (fma.f64 1/6 (pow.f64 eps 3) eps)))))
(*.f64 (sqrt.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 (sin.f64 x) (fma.f64 1/6 (pow.f64 eps 3) eps)))) (sqrt.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 (sin.f64 x) (fma.f64 1/6 (pow.f64 eps 3) eps)))))
(*.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (*.f64 (pow.f64 eps 6) -1/8)) (pow.f64 (*.f64 (sin.f64 x) (fma.f64 1/6 (pow.f64 eps 3) eps)) 3)) (/.f64 1 (+.f64 (*.f64 (*.f64 (pow.f64 eps 4) 1/4) (pow.f64 (cos.f64 x) 2)) (*.f64 (*.f64 (sin.f64 x) (fma.f64 1/6 (pow.f64 eps 3) eps)) (-.f64 (*.f64 (sin.f64 x) (fma.f64 1/6 (pow.f64 eps 3) eps)) (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))))))))
(*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 eps 4) 1/4) (pow.f64 (cos.f64 x) 2)) (pow.f64 (*.f64 (sin.f64 x) (fma.f64 1/6 (pow.f64 eps 3) eps)) 2)) (/.f64 1 (-.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) (*.f64 (sin.f64 x) (fma.f64 1/6 (pow.f64 eps 3) eps)))))
(/.f64 1 (/.f64 (+.f64 (*.f64 (*.f64 (pow.f64 eps 4) 1/4) (pow.f64 (cos.f64 x) 2)) (*.f64 (*.f64 (sin.f64 x) (fma.f64 1/6 (pow.f64 eps 3) eps)) (-.f64 (*.f64 (sin.f64 x) (fma.f64 1/6 (pow.f64 eps 3) eps)) (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)))))) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (*.f64 (pow.f64 eps 6) -1/8)) (pow.f64 (*.f64 (sin.f64 x) (fma.f64 1/6 (pow.f64 eps 3) eps)) 3))))
(/.f64 1 (/.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) (*.f64 (sin.f64 x) (fma.f64 1/6 (pow.f64 eps 3) eps))) (-.f64 (*.f64 (*.f64 (pow.f64 eps 4) 1/4) (pow.f64 (cos.f64 x) 2)) (pow.f64 (*.f64 (sin.f64 x) (fma.f64 1/6 (pow.f64 eps 3) eps)) 2))))
(/.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (*.f64 (pow.f64 eps 6) -1/8)) (pow.f64 (*.f64 (sin.f64 x) (fma.f64 1/6 (pow.f64 eps 3) eps)) 3)) (+.f64 (*.f64 (*.f64 (pow.f64 eps 4) 1/4) (pow.f64 (cos.f64 x) 2)) (*.f64 (*.f64 (sin.f64 x) (fma.f64 1/6 (pow.f64 eps 3) eps)) (-.f64 (*.f64 (sin.f64 x) (fma.f64 1/6 (pow.f64 eps 3) eps)) (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 eps 4) 1/4) (pow.f64 (cos.f64 x) 2)) (pow.f64 (*.f64 (sin.f64 x) (fma.f64 1/6 (pow.f64 eps 3) eps)) 2)) (-.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) (*.f64 (sin.f64 x) (fma.f64 1/6 (pow.f64 eps 3) eps))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (*.f64 (pow.f64 eps 6) -1/8)) (pow.f64 (*.f64 (sin.f64 x) (fma.f64 1/6 (pow.f64 eps 3) eps)) 3))) (neg.f64 (+.f64 (*.f64 (*.f64 (pow.f64 eps 4) 1/4) (pow.f64 (cos.f64 x) 2)) (*.f64 (*.f64 (sin.f64 x) (fma.f64 1/6 (pow.f64 eps 3) eps)) (-.f64 (*.f64 (sin.f64 x) (fma.f64 1/6 (pow.f64 eps 3) eps)) (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (pow.f64 eps 4) 1/4) (pow.f64 (cos.f64 x) 2)) (pow.f64 (*.f64 (sin.f64 x) (fma.f64 1/6 (pow.f64 eps 3) eps)) 2))) (neg.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) (*.f64 (sin.f64 x) (fma.f64 1/6 (pow.f64 eps 3) eps)))))
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eps
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(log1p.f64 (expm1.f64 eps))
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(pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 1)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 2)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) (sin.f64 (*.f64 eps 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3) (pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3) (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) -2)))) 1)
(pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) -2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) -2))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) -2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) -2))) 2)
(sqrt.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 2) 4))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) (sin.f64 (*.f64 eps 1/2))) -2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) -2)))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) -2)) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) -2))))
(exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) -2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) -2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) -2))))
(+.f64 0 eps)
(-.f64 0 eps)
(-.f64 (exp.f64 (log1p.f64 eps)) 1)
(*.f64 1 eps)
(*.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) 2))
(*.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 eps))
(*.f64 (pow.f64 (cbrt.f64 eps) 2) (neg.f64 (cbrt.f64 eps)))
(*.f64 -1 eps)
(*.f64 (sqrt.f64 eps) (sqrt.f64 eps))
(*.f64 (sqrt.f64 eps) (neg.f64 (sqrt.f64 eps)))
(*.f64 (pow.f64 1 1/3) eps)
(*.f64 (pow.f64 (pow.f64 eps 3/2) 1/3) (pow.f64 (pow.f64 eps 3/2) 1/3))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 eps 4))) (sqrt.f64 (pow.f64 (cbrt.f64 eps) 2)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps))
(*.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 eps))
(*.f64 (*.f64 -1 (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps))
(*.f64 (*.f64 -1 (sqrt.f64 eps)) (sqrt.f64 eps))
(/.f64 (-.f64 0 (pow.f64 eps 3)) (+.f64 0 (+.f64 (pow.f64 eps 2) (*.f64 0 eps))))
(/.f64 (-.f64 0 (pow.f64 eps 2)) eps)
(neg.f64 eps)
(sqrt.f64 (pow.f64 eps 2))
(fabs.f64 eps)
(log.f64 (exp.f64 eps))
(log.f64 (+.f64 1 (expm1.f64 eps)))
(cbrt.f64 (pow.f64 eps 3))
eps
(expm1.f64 (log1p.f64 eps))
(exp.f64 (log.f64 eps))
(exp.f64 (*.f64 (log.f64 eps) 1))
(log1p.f64 (expm1.f64 eps))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))) 1)
(-.f64 (/.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) 2) (/.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))) 2))
(/.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps))))) 2)
(/.f64 1 (/.f64 2 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))))))
(/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 1/2 (fma.f64 2 x eps)) (*.f64 eps 1/2))) (cos.f64 (+.f64 (*.f64 1/2 (fma.f64 2 x eps)) (*.f64 eps 1/2)))) 2)
(/.f64 (neg.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))))) -2)
(pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 1)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 2)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) (sin.f64 (*.f64 eps 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3) (pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3) (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) -2)))) 1)
(pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) -2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) -2))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) -2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) -2))) 2)
(sqrt.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 2) 4))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) (sin.f64 (*.f64 eps 1/2))) -2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) -2)))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) -2)) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) -2))))
(exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) -2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) -2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) -2))))

simplify88.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
202×*-commutative
134×+-commutative
122×sqr-pow
86×fma-def
68×fma-udef
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053511414
1183311414
Stop Event
1×unsound
Counts
403 → 301
Calls
Call 1
Inputs
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 x (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))) (*.f64 x (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 x 3) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps))) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))) (*.f64 x (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x)))))
(+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x)))))
(*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))))
(+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x)))))
(+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x)))))
(*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))))
(+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x)))))
(+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x)))))
(*.f64 -1 (*.f64 eps x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(*.f64 -1 (*.f64 eps x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(*.f64 -1 (*.f64 eps x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
(*.f64 1/2 (*.f64 eps (sin.f64 x)))
(+.f64 (*.f64 1/4 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 1/2 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 1/4 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (*.f64 1/2 (*.f64 eps (sin.f64 x))) (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/16 (sin.f64 x)) (*.f64 -1/48 (sin.f64 x))))))
(+.f64 (*.f64 -1/48 (*.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (*.f64 1/2 (*.f64 eps (sin.f64 x))) (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/16 (sin.f64 x)) (*.f64 -1/48 (sin.f64 x)))))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(+.f64 (*.f64 x (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) (+.f64 (*.f64 x (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 x 3) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))) (+.f64 (*.f64 x (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (*.f64 -2 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/16 (sin.f64 x)) (*.f64 -1/48 (sin.f64 x))))) (+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))))
(+.f64 (*.f64 -2 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/16 (sin.f64 x)) (*.f64 -1/48 (sin.f64 x))))) (+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))))
(*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))
(+.f64 (*.f64 -2 (*.f64 x (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))) (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))
(+.f64 (*.f64 -2 (*.f64 x (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))) (+.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 (pow.f64 x 2) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))
(+.f64 (*.f64 -2 (*.f64 x (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))) (+.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 x 3) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))) (*.f64 (pow.f64 x 2) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))))
eps
eps
eps
eps
eps
eps
eps
eps
(*.f64 -1 (*.f64 eps (cbrt.f64 -1)))
(*.f64 -1 (*.f64 eps (cbrt.f64 -1)))
(*.f64 -1 (*.f64 eps (cbrt.f64 -1)))
(*.f64 -1 (*.f64 eps (cbrt.f64 -1)))
(*.f64 1/2 (*.f64 eps (sin.f64 x)))
(+.f64 (*.f64 1/4 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 1/2 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 1/4 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (*.f64 1/2 (*.f64 eps (sin.f64 x))) (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/16 (sin.f64 x)) (*.f64 -1/48 (sin.f64 x))))))
(+.f64 (*.f64 -1/48 (*.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (*.f64 1/2 (*.f64 eps (sin.f64 x))) (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/16 (sin.f64 x)) (*.f64 -1/48 (sin.f64 x)))))))
(*.f64 (sin.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) eps))) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) eps))) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) eps))) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) eps))) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))
(*.f64 (sin.f64 (*.f64 -1/2 (*.f64 (pow.f64 -1 1/3) eps))) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))))
(*.f64 (sin.f64 (*.f64 -1/2 (*.f64 (pow.f64 -1 1/3) eps))) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))))
(*.f64 (sin.f64 (*.f64 -1/2 (*.f64 (pow.f64 -1 1/3) eps))) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))))
(*.f64 (sin.f64 (*.f64 -1/2 (*.f64 (pow.f64 -1 1/3) eps))) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(+.f64 (*.f64 x (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) (+.f64 (*.f64 x (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 x 3) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))) (+.f64 (*.f64 x (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (*.f64 -2 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/16 (sin.f64 x)) (*.f64 -1/48 (sin.f64 x))))) (+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))))
(+.f64 (*.f64 -2 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/16 (sin.f64 x)) (*.f64 -1/48 (sin.f64 x))))) (+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) eps))) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) eps))) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) eps))) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) eps))) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 -1/2 (*.f64 (pow.f64 -1 1/3) eps))) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 -1/2 (*.f64 (pow.f64 -1 1/3) eps))) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 -1/2 (*.f64 (pow.f64 -1 1/3) eps))) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 -1/2 (*.f64 (pow.f64 -1 1/3) eps))) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))))
(*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))
(+.f64 (*.f64 -2 (*.f64 x (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))) (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))
(+.f64 (*.f64 -2 (*.f64 x (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))) (+.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 (pow.f64 x 2) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))
(+.f64 (*.f64 -2 (*.f64 x (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))) (+.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 x 3) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))) (*.f64 (pow.f64 x 2) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/6 (pow.f64 eps 3)))) 1)
(pow.f64 (*.f64 1/6 (pow.f64 eps 3)) 1)
(pow.f64 (*.f64 eps (cbrt.f64 1/6)) 3)
(pow.f64 (*.f64 (pow.f64 (pow.f64 eps 3) 3) 1/216) 1/3)
(pow.f64 (*.f64 (pow.f64 eps 3/2) (sqrt.f64 1/6)) 2)
(sqrt.f64 (*.f64 (pow.f64 eps 6) 1/36))
(log.f64 (pow.f64 (exp.f64 1/6) (pow.f64 eps 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/6 (pow.f64 eps 3)))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 eps 3) 3) 1/216))
(expm1.f64 (log1p.f64 (*.f64 1/6 (pow.f64 eps 3))))
(exp.f64 (log.f64 (*.f64 1/6 (pow.f64 eps 3))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/6 (pow.f64 eps 3))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/6 (pow.f64 eps 3))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 (sin.f64 x) (fma.f64 1/6 (pow.f64 eps 3) eps))))) 1)
(-.f64 (/.f64 (*.f64 (*.f64 (pow.f64 eps 4) 1/4) (pow.f64 (cos.f64 x) 2)) (-.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) (*.f64 (sin.f64 x) (fma.f64 1/6 (pow.f64 eps 3) eps)))) (/.f64 (pow.f64 (*.f64 (sin.f64 x) (fma.f64 1/6 (pow.f64 eps 3) eps)) 2) (-.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) (*.f64 (sin.f64 x) (fma.f64 1/6 (pow.f64 eps 3) eps)))))
(*.f64 1 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 (sin.f64 x) (fma.f64 1/6 (pow.f64 eps 3) eps))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 (sin.f64 x) (fma.f64 1/6 (pow.f64 eps 3) eps)))) 2) (cbrt.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 (sin.f64 x) (fma.f64 1/6 (pow.f64 eps 3) eps)))))
(*.f64 (sqrt.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 (sin.f64 x) (fma.f64 1/6 (pow.f64 eps 3) eps)))) (sqrt.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 (sin.f64 x) (fma.f64 1/6 (pow.f64 eps 3) eps)))))
(*.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (*.f64 (pow.f64 eps 6) -1/8)) (pow.f64 (*.f64 (sin.f64 x) (fma.f64 1/6 (pow.f64 eps 3) eps)) 3)) (/.f64 1 (+.f64 (*.f64 (*.f64 (pow.f64 eps 4) 1/4) (pow.f64 (cos.f64 x) 2)) (*.f64 (*.f64 (sin.f64 x) (fma.f64 1/6 (pow.f64 eps 3) eps)) (-.f64 (*.f64 (sin.f64 x) (fma.f64 1/6 (pow.f64 eps 3) eps)) (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))))))))
(*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 eps 4) 1/4) (pow.f64 (cos.f64 x) 2)) (pow.f64 (*.f64 (sin.f64 x) (fma.f64 1/6 (pow.f64 eps 3) eps)) 2)) (/.f64 1 (-.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) (*.f64 (sin.f64 x) (fma.f64 1/6 (pow.f64 eps 3) eps)))))
(/.f64 1 (/.f64 (+.f64 (*.f64 (*.f64 (pow.f64 eps 4) 1/4) (pow.f64 (cos.f64 x) 2)) (*.f64 (*.f64 (sin.f64 x) (fma.f64 1/6 (pow.f64 eps 3) eps)) (-.f64 (*.f64 (sin.f64 x) (fma.f64 1/6 (pow.f64 eps 3) eps)) (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)))))) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (*.f64 (pow.f64 eps 6) -1/8)) (pow.f64 (*.f64 (sin.f64 x) (fma.f64 1/6 (pow.f64 eps 3) eps)) 3))))
(/.f64 1 (/.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) (*.f64 (sin.f64 x) (fma.f64 1/6 (pow.f64 eps 3) eps))) (-.f64 (*.f64 (*.f64 (pow.f64 eps 4) 1/4) (pow.f64 (cos.f64 x) 2)) (pow.f64 (*.f64 (sin.f64 x) (fma.f64 1/6 (pow.f64 eps 3) eps)) 2))))
(/.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (*.f64 (pow.f64 eps 6) -1/8)) (pow.f64 (*.f64 (sin.f64 x) (fma.f64 1/6 (pow.f64 eps 3) eps)) 3)) (+.f64 (*.f64 (*.f64 (pow.f64 eps 4) 1/4) (pow.f64 (cos.f64 x) 2)) (*.f64 (*.f64 (sin.f64 x) (fma.f64 1/6 (pow.f64 eps 3) eps)) (-.f64 (*.f64 (sin.f64 x) (fma.f64 1/6 (pow.f64 eps 3) eps)) (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 eps 4) 1/4) (pow.f64 (cos.f64 x) 2)) (pow.f64 (*.f64 (sin.f64 x) (fma.f64 1/6 (pow.f64 eps 3) eps)) 2)) (-.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) (*.f64 (sin.f64 x) (fma.f64 1/6 (pow.f64 eps 3) eps))))
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(pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 2)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) (sin.f64 (*.f64 eps 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3) (pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3) (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) -2)))) 1)
(pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) -2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) -2))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) -2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) -2))) 2)
(sqrt.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 2) 4))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) (sin.f64 (*.f64 eps 1/2))) -2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) -2)))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) -2)) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) -2))))
(exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) -2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) -2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) -2))))
(+.f64 0 eps)
(-.f64 0 eps)
(-.f64 (exp.f64 (log1p.f64 eps)) 1)
(*.f64 1 eps)
(*.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) 2))
(*.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 eps))
(*.f64 (pow.f64 (cbrt.f64 eps) 2) (neg.f64 (cbrt.f64 eps)))
(*.f64 -1 eps)
(*.f64 (sqrt.f64 eps) (sqrt.f64 eps))
(*.f64 (sqrt.f64 eps) (neg.f64 (sqrt.f64 eps)))
(*.f64 (pow.f64 1 1/3) eps)
(*.f64 (pow.f64 (pow.f64 eps 3/2) 1/3) (pow.f64 (pow.f64 eps 3/2) 1/3))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 eps 4))) (sqrt.f64 (pow.f64 (cbrt.f64 eps) 2)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps))
(*.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 eps))
(*.f64 (*.f64 -1 (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps))
(*.f64 (*.f64 -1 (sqrt.f64 eps)) (sqrt.f64 eps))
(/.f64 (-.f64 0 (pow.f64 eps 3)) (+.f64 0 (+.f64 (pow.f64 eps 2) (*.f64 0 eps))))
(/.f64 (-.f64 0 (pow.f64 eps 2)) eps)
(neg.f64 eps)
(sqrt.f64 (pow.f64 eps 2))
(fabs.f64 eps)
(log.f64 (exp.f64 eps))
(log.f64 (+.f64 1 (expm1.f64 eps)))
(cbrt.f64 (pow.f64 eps 3))
(expm1.f64 (log1p.f64 eps))
(exp.f64 (log.f64 eps))
(exp.f64 (*.f64 (log.f64 eps) 1))
(log1p.f64 (expm1.f64 eps))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))) 1)
(-.f64 (/.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) 2) (/.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))) 2))
(/.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps))))) 2)
(/.f64 1 (/.f64 2 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))))))
(/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 1/2 (fma.f64 2 x eps)) (*.f64 eps 1/2))) (cos.f64 (+.f64 (*.f64 1/2 (fma.f64 2 x eps)) (*.f64 eps 1/2)))) 2)
(/.f64 (neg.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))))) -2)
(pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 1)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 2)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) (sin.f64 (*.f64 eps 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3) (pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3) (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) -2)))) 1)
(pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) -2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) -2))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) -2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) -2))) 2)
(sqrt.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 2) 4))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) (sin.f64 (*.f64 eps 1/2))) -2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) -2)))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) -2)) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) -2))))
(exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) -2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) -2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) -2))))
Outputs
(*.f64 -1/2 (pow.f64 eps 2))
-1/2
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 x (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)))
(+.f64 -1/2 (*.f64 x -5/6))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))) (*.f64 x (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps))))
(+.f64 -1/2 (+.f64 (*.f64 x -5/6) (*.f64 (pow.f64 x 0) 0)))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 x 3) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps))) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))) (*.f64 x (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)))))
(+.f64 -1/2 (fma.f64 -1/6 (*.f64 -5/6 (pow.f64 x 0)) (+.f64 (*.f64 x -5/6) (*.f64 (pow.f64 x 0) 0))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)))
(+.f64 (*.f64 -5/6 (sin.f64 x)) (*.f64 -1/2 (cos.f64 x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)))
(+.f64 (*.f64 -5/6 (sin.f64 x)) (*.f64 -1/2 (cos.f64 x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)))
(+.f64 (*.f64 -5/6 (sin.f64 x)) (*.f64 -1/2 (cos.f64 x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)))
(+.f64 (*.f64 -5/6 (sin.f64 x)) (*.f64 -1/2 (cos.f64 x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)))
(+.f64 (*.f64 -5/6 (sin.f64 x)) (*.f64 -1/2 (cos.f64 x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)))
(+.f64 (*.f64 -5/6 (sin.f64 x)) (*.f64 -1/2 (cos.f64 x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)))
(+.f64 (*.f64 -5/6 (sin.f64 x)) (*.f64 -1/2 (cos.f64 x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)))
(+.f64 (*.f64 -5/6 (sin.f64 x)) (*.f64 -1/2 (cos.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 -1 (sin.f64 x))
(+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1/2 (cos.f64 x)))
(+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x)))))
(+.f64 (*.f64 -1 (sin.f64 x)) (+.f64 (*.f64 1/6 (sin.f64 x)) (*.f64 -1/2 (cos.f64 x))))
(+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x)))))
(+.f64 (*.f64 -1 (sin.f64 x)) (+.f64 (*.f64 1/6 (sin.f64 x)) (*.f64 -1/2 (cos.f64 x))))
(*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x)))
(*.f64 1/6 (sin.f64 x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))))
(+.f64 (*.f64 1/6 (sin.f64 x)) (*.f64 -1/2 (cos.f64 x)))
(+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x)))))
(+.f64 (*.f64 -1 (sin.f64 x)) (+.f64 (*.f64 1/6 (sin.f64 x)) (*.f64 -1/2 (cos.f64 x))))
(+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x)))))
(+.f64 (*.f64 -1 (sin.f64 x)) (+.f64 (*.f64 1/6 (sin.f64 x)) (*.f64 -1/2 (cos.f64 x))))
(*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x)))
(*.f64 1/6 (sin.f64 x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))))
(+.f64 (*.f64 1/6 (sin.f64 x)) (*.f64 -1/2 (cos.f64 x)))
(+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x)))))
(+.f64 (*.f64 -1 (sin.f64 x)) (+.f64 (*.f64 1/6 (sin.f64 x)) (*.f64 -1/2 (cos.f64 x))))
(+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x)))))
(+.f64 (*.f64 -1 (sin.f64 x)) (+.f64 (*.f64 1/6 (sin.f64 x)) (*.f64 -1/2 (cos.f64 x))))
(*.f64 -1 (*.f64 eps x))
(neg.f64 x)
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 -1/2 (neg.f64 x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 -1/2 (neg.f64 x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 -1/2 (neg.f64 x))
(*.f64 -1/2 (pow.f64 eps 2))
-1/2
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 -1/2 (neg.f64 x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 -1/2 (neg.f64 x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 -1/2 (neg.f64 x))
(*.f64 -1/2 (pow.f64 eps 2))
-1/2
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 -1/2 (neg.f64 x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 -1/2 (neg.f64 x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 -1/2 (neg.f64 x))
(*.f64 -1/2 (pow.f64 eps 2))
-1/2
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 -1/2 (neg.f64 x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 -1/2 (neg.f64 x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 -1/2 (neg.f64 x))
(*.f64 -1 (*.f64 eps x))
(neg.f64 x)
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 -1/2 (neg.f64 x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 -1/2 (neg.f64 x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 -1/2 (neg.f64 x))
(*.f64 -1 (*.f64 eps x))
(neg.f64 x)
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 -1/2 (neg.f64 x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 -1/2 (neg.f64 x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 -1/2 (neg.f64 x))
eps
0
eps
0
eps
0
eps
0
eps
0
eps
0
eps
0
eps
0
eps
0
eps
0
eps
0
eps
0
(*.f64 1/2 (*.f64 eps (sin.f64 x)))
(*.f64 (sin.f64 x) 0)
(+.f64 (*.f64 1/4 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 1/2 (*.f64 eps (sin.f64 x))))
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(*.f64 (sin.f64 0) (sin.f64 (fma.f64 0 x 0)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))
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(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))
(*.f64 (sin.f64 0) (sin.f64 (fma.f64 0 x 0)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))
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(*.f64 (*.f64 -2 (sin.f64 0)) (sin.f64 (fma.f64 0 x 0)))
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(*.f64 (*.f64 -2 (sin.f64 0)) (sin.f64 (fma.f64 0 x 0)))
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(*.f64 (*.f64 -2 (sin.f64 0)) (sin.f64 (fma.f64 0 x 0)))
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(*.f64 (*.f64 -2 (sin.f64 0)) (sin.f64 (fma.f64 0 x 0)))
eps
0
eps
0
eps
0
eps
0
eps
0
eps
0
eps
0
eps
0
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(*.f64 -1 (cbrt.f64 -1))
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(*.f64 -1 (cbrt.f64 -1))
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(*.f64 (sin.f64 (*.f64 (*.f64 -1/2 (cbrt.f64 -1)) 0)) (sin.f64 (fma.f64 0 x 0)))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(pow.f64 (sin.f64 0) 0)
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(fma.f64 x (*.f64 (sin.f64 0) (cos.f64 0)) (pow.f64 (sin.f64 0) 0))
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(fma.f64 -1/2 (*.f64 (pow.f64 x 0) (pow.f64 (sin.f64 0) 0)) (fma.f64 x (*.f64 (sin.f64 0) (cos.f64 0)) (pow.f64 (sin.f64 0) 0)))
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(fma.f64 -1/2 (*.f64 (pow.f64 x 0) (pow.f64 (sin.f64 0) 0)) (fma.f64 -1/6 (*.f64 (pow.f64 x 0) (*.f64 (sin.f64 0) (cos.f64 0))) (fma.f64 x (*.f64 (sin.f64 0) (cos.f64 0)) (pow.f64 (sin.f64 0) 0))))
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(*.f64 (sin.f64 0) (sin.f64 (fma.f64 0 x 0)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))
(*.f64 (sin.f64 0) (sin.f64 (fma.f64 0 x 0)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))
(*.f64 (sin.f64 0) (sin.f64 (fma.f64 0 x 0)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))
(*.f64 (sin.f64 0) (sin.f64 (fma.f64 0 x 0)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))))
(*.f64 (sin.f64 0) (sin.f64 (fma.f64 0 x 0)))
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(*.f64 (sin.f64 0) (sin.f64 (fma.f64 0 x 0)))
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(*.f64 (sin.f64 0) (sin.f64 (fma.f64 0 x 0)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))))
(*.f64 (sin.f64 0) (sin.f64 (fma.f64 0 x 0)))
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(exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 (sin.f64 x) (fma.f64 1/6 (pow.f64 eps 3) eps)))) 1))
(fma.f64 -1/2 (cos.f64 x) (*.f64 (sin.f64 x) 7/6))
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 (sin.f64 x) (fma.f64 1/6 (pow.f64 eps 3) eps)))))
(fma.f64 -1/2 (cos.f64 x) (*.f64 (sin.f64 x) 7/6))
(fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 (sin.f64 x) (fma.f64 1/6 (pow.f64 eps 3) eps)))
(fma.f64 -1/2 (cos.f64 x) (*.f64 (sin.f64 x) 7/6))
(fma.f64 (*.f64 -1/2 (pow.f64 eps 2)) (cos.f64 x) (*.f64 (sin.f64 x) (fma.f64 1/6 (pow.f64 eps 3) eps)))
(fma.f64 -1/2 (cos.f64 x) (*.f64 (sin.f64 x) 7/6))
(fma.f64 (sin.f64 x) (fma.f64 1/6 (pow.f64 eps 3) eps) (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))))
(fma.f64 (sin.f64 x) 7/6 (*.f64 -1/2 (cos.f64 x)))
(fma.f64 (fma.f64 1/6 (pow.f64 eps 3) eps) (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))))
(fma.f64 (sin.f64 x) 7/6 (*.f64 -1/2 (cos.f64 x)))
(fma.f64 1 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) (*.f64 (sin.f64 x) (fma.f64 1/6 (pow.f64 eps 3) eps)))
(fma.f64 0 (*.f64 -1/2 (cos.f64 x)) (*.f64 (sin.f64 x) 7/6))
(fma.f64 1 (*.f64 (sin.f64 x) (fma.f64 1/6 (pow.f64 eps 3) eps)) (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))))
(fma.f64 0 (*.f64 (sin.f64 x) 7/6) (*.f64 -1/2 (cos.f64 x)))
(fma.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 eps 4) 1/4) (pow.f64 (cos.f64 x) 2))) (cbrt.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)))) (*.f64 (sin.f64 x) (fma.f64 1/6 (pow.f64 eps 3) eps)))
(fma.f64 (cbrt.f64 (*.f64 0 (pow.f64 (cos.f64 x) 0))) (cbrt.f64 (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 7/6))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (fma.f64 1/6 (pow.f64 eps 3) eps))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (fma.f64 1/6 (pow.f64 eps 3) eps))) (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 7/6)) 0) (cbrt.f64 (*.f64 (sin.f64 x) 7/6)) (*.f64 -1/2 (cos.f64 x)))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (cos.f64 x) -1/2)) eps) (*.f64 (sqrt.f64 (*.f64 (cos.f64 x) -1/2)) eps) (*.f64 (sin.f64 x) (fma.f64 1/6 (pow.f64 eps 3) eps)))
(fma.f64 (*.f64 0 (sqrt.f64 (*.f64 -1/2 (cos.f64 x)))) (*.f64 0 (sqrt.f64 (*.f64 -1/2 (cos.f64 x)))) (*.f64 (sin.f64 x) 7/6))
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 x) (fma.f64 1/6 (pow.f64 eps 3) eps))) (sqrt.f64 (*.f64 (sin.f64 x) (fma.f64 1/6 (pow.f64 eps 3) eps))) (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))))
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 x) 7/6)) (sqrt.f64 (*.f64 (sin.f64 x) 7/6)) (*.f64 -1/2 (cos.f64 x)))
(fma.f64 (*.f64 (cos.f64 x) -1/2) (pow.f64 eps 2) (*.f64 (sin.f64 x) (fma.f64 1/6 (pow.f64 eps 3) eps)))
(fma.f64 -1/2 (cos.f64 x) (*.f64 (sin.f64 x) 7/6))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps x))
(fma.f64 0 x -1/2)
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 eps x) (*.f64 eps (/.f64 0 0))))
(+.f64 -1/2 (fma.f64 0 x 0))
(+.f64 (fma.f64 -1/2 (pow.f64 eps 2) (*.f64 eps x)) (*.f64 eps (/.f64 0 0)))
(+.f64 -1/2 (fma.f64 0 x 0))
(+.f64 (fma.f64 -1/2 (pow.f64 eps 2) (*.f64 eps x)) (fma.f64 (neg.f64 x) eps (*.f64 eps x)))
(+.f64 (fma.f64 0 x -1/2) (+.f64 (neg.f64 x) (*.f64 x 0)))
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(+.f64 -1/2 (fma.f64 0 x 0))
(+.f64 (fma.f64 -1/2 (pow.f64 eps 2) (neg.f64 (*.f64 (*.f64 eps x) 1))) (fma.f64 (*.f64 eps x) 1 (*.f64 (*.f64 eps x) 1)))
(+.f64 (+.f64 -1/2 (neg.f64 x)) (+.f64 (*.f64 x 0) (*.f64 x 0)))
(+.f64 (fma.f64 -1/2 (pow.f64 eps 2) (neg.f64 (*.f64 (cbrt.f64 (*.f64 eps x)) (cbrt.f64 (pow.f64 (*.f64 eps x) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 eps x))) (cbrt.f64 (pow.f64 (*.f64 eps x) 2)) (*.f64 (cbrt.f64 (*.f64 eps x)) (cbrt.f64 (pow.f64 (*.f64 eps x) 2)))))
(+.f64 (+.f64 -1/2 (*.f64 (neg.f64 (cbrt.f64 (*.f64 x 0))) (cbrt.f64 (*.f64 (pow.f64 x 0) 0)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x 0))) (cbrt.f64 (*.f64 (pow.f64 x 0) 0)) (*.f64 (cbrt.f64 (*.f64 x 0)) (cbrt.f64 (*.f64 (pow.f64 x 0) 0)))))
(+.f64 (fma.f64 (pow.f64 eps 2) -1/2 (neg.f64 (*.f64 (*.f64 eps x) 1))) (fma.f64 (*.f64 eps x) 1 (*.f64 (*.f64 eps x) 1)))
(+.f64 (+.f64 -1/2 (neg.f64 x)) (+.f64 (*.f64 x 0) (*.f64 x 0)))
(+.f64 (fma.f64 (pow.f64 eps 2) -1/2 (neg.f64 (*.f64 (cbrt.f64 (*.f64 eps x)) (cbrt.f64 (pow.f64 (*.f64 eps x) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 eps x))) (cbrt.f64 (pow.f64 (*.f64 eps x) 2)) (*.f64 (cbrt.f64 (*.f64 eps x)) (cbrt.f64 (pow.f64 (*.f64 eps x) 2)))))
(+.f64 (+.f64 -1/2 (*.f64 (neg.f64 (cbrt.f64 (*.f64 x 0))) (cbrt.f64 (*.f64 (pow.f64 x 0) 0)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x 0))) (cbrt.f64 (*.f64 (pow.f64 x 0) 0)) (*.f64 (cbrt.f64 (*.f64 x 0)) (cbrt.f64 (*.f64 (pow.f64 x 0) 0)))))
(+.f64 (fma.f64 1 (*.f64 -1/2 (pow.f64 eps 2)) (neg.f64 (*.f64 (*.f64 eps x) 1))) (fma.f64 (*.f64 eps x) 1 (*.f64 (*.f64 eps x) 1)))
(+.f64 (+.f64 -1/2 (neg.f64 x)) (+.f64 (*.f64 x 0) (*.f64 x 0)))
(+.f64 (fma.f64 1 (*.f64 -1/2 (pow.f64 eps 2)) (neg.f64 (*.f64 (cbrt.f64 (*.f64 eps x)) (cbrt.f64 (pow.f64 (*.f64 eps x) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 eps x))) (cbrt.f64 (pow.f64 (*.f64 eps x) 2)) (*.f64 (cbrt.f64 (*.f64 eps x)) (cbrt.f64 (pow.f64 (*.f64 eps x) 2)))))
(+.f64 (+.f64 -1/2 (*.f64 (neg.f64 (cbrt.f64 (*.f64 x 0))) (cbrt.f64 (*.f64 (pow.f64 x 0) 0)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x 0))) (cbrt.f64 (*.f64 (pow.f64 x 0) 0)) (*.f64 (cbrt.f64 (*.f64 x 0)) (cbrt.f64 (*.f64 (pow.f64 x 0) 0)))))
(+.f64 (fma.f64 (cbrt.f64 (*.f64 (pow.f64 eps 4) 1/4)) (cbrt.f64 (*.f64 -1/2 (pow.f64 eps 2))) (neg.f64 (*.f64 (*.f64 eps x) 1))) (fma.f64 (*.f64 eps x) 1 (*.f64 (*.f64 eps x) 1)))
(+.f64 (+.f64 (*.f64 x 0) (*.f64 x 0)) (fma.f64 0 (cbrt.f64 -1/2) (neg.f64 x)))
(+.f64 (fma.f64 (cbrt.f64 (*.f64 (pow.f64 eps 4) 1/4)) (cbrt.f64 (*.f64 -1/2 (pow.f64 eps 2))) (neg.f64 (*.f64 (cbrt.f64 (*.f64 eps x)) (cbrt.f64 (pow.f64 (*.f64 eps x) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 eps x))) (cbrt.f64 (pow.f64 (*.f64 eps x) 2)) (*.f64 (cbrt.f64 (*.f64 eps x)) (cbrt.f64 (pow.f64 (*.f64 eps x) 2)))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x 0))) (cbrt.f64 (*.f64 (pow.f64 x 0) 0)) (*.f64 (cbrt.f64 (*.f64 x 0)) (cbrt.f64 (*.f64 (pow.f64 x 0) 0)))) (fma.f64 0 (cbrt.f64 -1/2) (*.f64 (neg.f64 (cbrt.f64 (*.f64 x 0))) (cbrt.f64 (*.f64 (pow.f64 x 0) 0)))))
(+.f64 (fma.f64 (*.f64 eps (sqrt.f64 -1/2)) (*.f64 eps (sqrt.f64 -1/2)) (neg.f64 (*.f64 (*.f64 eps x) 1))) (fma.f64 (*.f64 eps x) 1 (*.f64 (*.f64 eps x) 1)))
(+.f64 (+.f64 (*.f64 x 0) (*.f64 x 0)) (fma.f64 (*.f64 0 (sqrt.f64 -1/2)) (*.f64 0 (sqrt.f64 -1/2)) (neg.f64 x)))
(+.f64 (fma.f64 (*.f64 eps (sqrt.f64 -1/2)) (*.f64 eps (sqrt.f64 -1/2)) (neg.f64 (*.f64 (cbrt.f64 (*.f64 eps x)) (cbrt.f64 (pow.f64 (*.f64 eps x) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 eps x))) (cbrt.f64 (pow.f64 (*.f64 eps x) 2)) (*.f64 (cbrt.f64 (*.f64 eps x)) (cbrt.f64 (pow.f64 (*.f64 eps x) 2)))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x 0))) (cbrt.f64 (*.f64 (pow.f64 x 0) 0)) (*.f64 (cbrt.f64 (*.f64 x 0)) (cbrt.f64 (*.f64 (pow.f64 x 0) 0)))) (fma.f64 (*.f64 0 (sqrt.f64 -1/2)) (*.f64 0 (sqrt.f64 -1/2)) (*.f64 (neg.f64 (cbrt.f64 (*.f64 x 0))) (cbrt.f64 (*.f64 (pow.f64 x 0) 0)))))
(+.f64 (*.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1) (*.f64 (*.f64 eps x) 1))
(fma.f64 0 x -1/2)
(+.f64 (*.f64 (fma.f64 -1/2 (pow.f64 eps 2) (*.f64 eps x)) 1) (*.f64 (*.f64 eps (/.f64 0 0)) 1))
(+.f64 -1/2 (fma.f64 0 x 0))
(*.f64 1 (fma.f64 -1/2 (pow.f64 eps 2) (*.f64 eps x)))
(fma.f64 0 x -1/2)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 eps 2) (*.f64 eps x))) 2) (cbrt.f64 (fma.f64 -1/2 (pow.f64 eps 2) (*.f64 eps x))))
(fma.f64 0 x -1/2)
(*.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 eps 2) (*.f64 eps x)) 2) (/.f64 1 (fma.f64 -1/2 (pow.f64 eps 2) (*.f64 eps x))))
(/.f64 (fma.f64 0 x -1/2) (fma.f64 0 x -1/2))
(*.f64 (sqrt.f64 (fma.f64 -1/2 (pow.f64 eps 2) (*.f64 eps x))) (sqrt.f64 (fma.f64 -1/2 (pow.f64 eps 2) (*.f64 eps x))))
(fma.f64 0 x -1/2)
(*.f64 (-.f64 (*.f64 (pow.f64 eps 6) -1/8) (pow.f64 (*.f64 eps x) 3)) (/.f64 1 (+.f64 (*.f64 (pow.f64 eps 4) 1/4) (*.f64 (*.f64 eps x) (+.f64 (*.f64 eps x) (*.f64 -1/2 (pow.f64 eps 2)))))))
(/.f64 (*.f64 (-.f64 -1/8 (*.f64 (pow.f64 x 0) 0)) 0) (+.f64 0 (*.f64 (*.f64 x 0) (fma.f64 0 x -1/2))))
(*.f64 (+.f64 (*.f64 eps (sqrt.f64 -1/2)) (sqrt.f64 (*.f64 eps x))) (-.f64 (*.f64 eps (sqrt.f64 -1/2)) (sqrt.f64 (*.f64 eps x))))
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(/.f64 (*.f64 (-.f64 -1/8 (*.f64 (pow.f64 x 0) 0)) 0) (+.f64 0 (*.f64 (*.f64 x 0) (fma.f64 0 x -1/2))))
(/.f64 1 (/.f64 (fma.f64 -1/2 (pow.f64 eps 2) (*.f64 eps x)) (pow.f64 (fma.f64 -1/2 (pow.f64 eps 2) (*.f64 eps x)) 2)))
(/.f64 (fma.f64 0 x -1/2) (fma.f64 0 x -1/2))
(/.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 eps 2) (*.f64 eps x)) 2) (fma.f64 -1/2 (pow.f64 eps 2) (*.f64 eps x)))
(/.f64 (fma.f64 0 x -1/2) (fma.f64 0 x -1/2))
(/.f64 (-.f64 (*.f64 (pow.f64 eps 6) -1/8) (pow.f64 (*.f64 eps x) 3)) (+.f64 (*.f64 (pow.f64 eps 4) 1/4) (*.f64 (*.f64 eps x) (+.f64 (*.f64 eps x) (*.f64 -1/2 (pow.f64 eps 2))))))
(/.f64 (-.f64 -1/8 (*.f64 (pow.f64 x 0) 0)) (+.f64 0 (*.f64 (*.f64 x 0) (fma.f64 0 x -1/2))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 eps 6) -1/8) (pow.f64 (*.f64 eps x) 3))) (neg.f64 (+.f64 (*.f64 (pow.f64 eps 4) 1/4) (*.f64 (*.f64 eps x) (+.f64 (*.f64 eps x) (*.f64 -1/2 (pow.f64 eps 2)))))))
(/.f64 (neg.f64 (-.f64 -1/8 (*.f64 (pow.f64 x 0) 0))) (+.f64 -1 (neg.f64 (*.f64 (*.f64 x 0) (fma.f64 0 x -1/2)))))
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0
(-.f64 0 eps)
-1
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0
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0
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0
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(log1p.f64 (expm1.f64 eps))
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(exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) -2))))
(*.f64 (*.f64 -2 (sin.f64 0)) (sin.f64 (fma.f64 0 x 0)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) -2))) 1))
(*.f64 (*.f64 -2 (sin.f64 0)) (sin.f64 (fma.f64 0 x 0)))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) -2))))
(*.f64 (*.f64 -2 (sin.f64 0)) (sin.f64 (fma.f64 0 x 0)))

eval156.0ms (1.1%)

Compiler

Compiled 7959 to 5468 computations (31.3% saved)

prune60.0ms (0.4%)

Pruning

15 alts after pruning (8 fresh and 7 done)

PrunedKeptTotal
New3904394
Fresh145
Picked235
Done044
Total39315408
Accuracy
100.0%
Counts
408 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.2%
(fma.f64 (neg.f64 eps) x (*.f64 -1/2 (pow.f64 eps 2)))
52.5%
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))
✓98.0%
(-.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 x eps))
✓52.3%
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
99.5%
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)))
98.8%
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 3) -2)
78.4%
(*.f64 (*.f64 (*.f64 1/2 eps) (sin.f64 x)) -2)
52.9%
(*.f64 (*.f64 (sin.f64 (*.f64 (log.f64 (exp.f64 eps)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
✓96.0%
(*.f64 (*.f64 (sin.f64 (*.f64 (exp.f64 (log.f64 eps)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
✓99.7%
(*.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
✓78.4%
(*.f64 (sin.f64 x) (neg.f64 eps))
✓50.2%
(*.f64 eps x)
✓77.9%
(neg.f64 (*.f64 eps x))
6.5%
(neg.f64 x)
3.5%
-1/2
Compiler

Compiled 588 to 411 computations (30.1% saved)

regimes38.0ms (0.3%)

Counts
32 → 1
Calls
Call 1
Inputs
-1/2
(neg.f64 x)
(*.f64 eps x)
(neg.f64 (*.f64 eps x))
(*.f64 -1 (*.f64 eps x))
(-.f64 (cos.f64 eps) 1)
(*.f64 (sin.f64 x) (neg.f64 eps))
(*.f64 (*.f64 1/2 (*.f64 eps (sin.f64 x))) -2)
(*.f64 (*.f64 (*.f64 1/2 eps) (sin.f64 x)) -2)
(-.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 x eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(fma.f64 (neg.f64 eps) x (*.f64 -1/2 (pow.f64 eps 2)))
(*.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
(-.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) (*.f64 eps (sin.f64 x)))
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 -2 (sin.f64 (*.f64 eps 1/2))))
(*.f64 (*.f64 (sin.f64 (*.f64 (exp.f64 (log.f64 eps)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (log.f64 (exp.f64 eps)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (exp.f64 (log.f64 (-.f64 eps 0))) 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (log.f64 (exp.f64 (-.f64 eps 0))) 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (pow.f64 (pow.f64 eps 3) 1/3) 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)))
(*.f64 (*.f64 (sin.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 eps 0) 3)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
(+.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) (*.f64 (sin.f64 x) (+.f64 (neg.f64 eps) (*.f64 1/6 (pow.f64 eps 3)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 3) -2)
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 2) (*.f64 -2 (sin.f64 (*.f64 eps 1/2))))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 2) -2)
(pow.f64 (sqrt.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 2)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps 0))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 3) -2)
(*.f64 (fma.f64 x (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps))) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) -2)
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))
Outputs
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 -2 (sin.f64 (*.f64 eps 1/2))))
Calls

3 calls:

14.0ms
x
12.0ms
eps
3.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
AccuracySegmentsBranch
99.7%1x
99.7%1eps
99.7%1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 425 to 287 computations (32.5% saved)

regimes20.0ms (0.1%)

Counts
16 → 1
Calls
Call 1
Inputs
-1/2
(neg.f64 x)
(*.f64 eps x)
(neg.f64 (*.f64 eps x))
(*.f64 -1 (*.f64 eps x))
(-.f64 (cos.f64 eps) 1)
(*.f64 (sin.f64 x) (neg.f64 eps))
(*.f64 (*.f64 1/2 (*.f64 eps (sin.f64 x))) -2)
(*.f64 (*.f64 (*.f64 1/2 eps) (sin.f64 x)) -2)
(-.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 x eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(fma.f64 (neg.f64 eps) x (*.f64 -1/2 (pow.f64 eps 2)))
(*.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
(-.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) (*.f64 eps (sin.f64 x)))
Outputs
(*.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
Calls

3 calls:

7.0ms
x
7.0ms
eps
2.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
AccuracySegmentsBranch
99.7%1x
99.7%1eps
99.7%1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 140 to 84 computations (40% saved)

regimes18.0ms (0.1%)

Counts
13 → 1
Calls
Call 1
Inputs
-1/2
(neg.f64 x)
(*.f64 eps x)
(neg.f64 (*.f64 eps x))
(*.f64 -1 (*.f64 eps x))
(-.f64 (cos.f64 eps) 1)
(*.f64 (sin.f64 x) (neg.f64 eps))
(*.f64 (*.f64 1/2 (*.f64 eps (sin.f64 x))) -2)
(*.f64 (*.f64 (*.f64 1/2 eps) (sin.f64 x)) -2)
(-.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 x eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(fma.f64 (neg.f64 eps) x (*.f64 -1/2 (pow.f64 eps 2)))
Outputs
(fma.f64 (neg.f64 eps) x (*.f64 -1/2 (pow.f64 eps 2)))
Calls

3 calls:

7.0ms
x
6.0ms
eps
3.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
AccuracySegmentsBranch
98.2%1x
98.2%1eps
98.2%1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 93 to 56 computations (39.8% saved)

regimes17.0ms (0.1%)

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

3 calls:

6.0ms
x
6.0ms
eps
2.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
AccuracySegmentsBranch
98.0%1x
98.0%1eps
98.0%1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 84 to 51 computations (39.3% saved)

regimes12.0ms (0.1%)

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

2 calls:

5.0ms
x
5.0ms
eps
Results
AccuracySegmentsBranch
78.4%1x
78.4%1eps
Compiler

Compiled 48 to 28 computations (41.7% saved)

regimes10.0ms (0.1%)

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

2 calls:

4.0ms
x
4.0ms
eps
Results
AccuracySegmentsBranch
77.9%1x
77.9%1eps
Compiler

Compiled 27 to 15 computations (44.4% saved)

regimes7.0ms (0.1%)

Counts
3 → 1
Calls
Call 1
Inputs
-1/2
(neg.f64 x)
(*.f64 eps x)
Outputs
(*.f64 eps x)
Calls

2 calls:

3.0ms
eps
3.0ms
x
Results
AccuracySegmentsBranch
50.2%1x
50.2%1eps
Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes7.0ms (0.1%)

Counts
2 → 1
Calls
Call 1
Inputs
-1/2
(neg.f64 x)
Outputs
(neg.f64 x)
Calls

2 calls:

3.0ms
eps
3.0ms
x
Results
AccuracySegmentsBranch
6.5%1x
6.5%1eps
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes6.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
-1/2
Outputs
-1/2
Calls

2 calls:

3.0ms
eps
3.0ms
x
Results
AccuracySegmentsBranch
3.5%1eps
3.5%1x
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify7.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
037235
164235
279235
387235
490235
591235
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 -2 (sin.f64 (*.f64 eps 1/2))))
(*.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
(fma.f64 (neg.f64 eps) x (*.f64 -1/2 (pow.f64 eps 2)))
(-.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 x eps))
(*.f64 (sin.f64 x) (neg.f64 eps))
(neg.f64 (*.f64 eps x))
(*.f64 eps x)
(neg.f64 x)
-1/2
Outputs
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 -2 (sin.f64 (*.f64 eps 1/2))))
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 -2 (sin.f64 (*.f64 1/2 eps))))
(*.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x))))))
(fma.f64 (neg.f64 eps) x (*.f64 -1/2 (pow.f64 eps 2)))
(-.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 x eps))
(*.f64 (sin.f64 x) (neg.f64 eps))
(*.f64 (neg.f64 eps) (sin.f64 x))
(neg.f64 (*.f64 eps x))
(*.f64 eps (neg.f64 x))
(*.f64 eps x)
(*.f64 x eps)
(neg.f64 x)
-1/2
Compiler

Compiled 80 to 60 computations (25% saved)

soundness1.3s (9.8%)

Rules
1000×fma-def
1000×fma-def
976×log1p-expm1-u
976×expm1-log1p-u
976×log1p-expm1-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01247
116147
2244947
03899790
18949237
227108700
03899790
18949237
227108700
053511414
1183311414
03899790
18949237
227108700
044364
1721180
26781180
053511414
1183311414
03899790
18949237
227108700
069019685
1189619685
050313487
1121013487
044364
1721180
26781180
01247
116147
2244947
Stop Event
1×node limit
1×node limit
1×node limit
1×unsound
1×node limit
1×unsound
1×node limit
1×node limit
1×unsound
1×node limit
1×node limit
1×node limit
Compiler

Compiled 1217 to 762 computations (37.4% saved)

end0.0ms (0%)

preprocess83.0ms (0.6%)

Compiler

Compiled 176 to 118 computations (33% saved)

Profiling

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