2sin (example 3.3)

Time bar (total: 11.9s)

analyze31.0ms (0.3%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%50%50%0%0%0%0
0%0%50%50%0%0%0%1
0%0%50%50%0%0%0%2
0%0%25%75%0%0%0%3
0%0%18.7%81.3%0%0%0%4
0%0%12.5%87.5%0%0%0%5
0%0%9.4%90.6%0%0%0%6
0%0%5.5%94.5%0%0%0%7
0%0%4.3%95.7%0%0%0%8
0%0%2.5%97.5%0%0%0%9
0%0%2%98%0%0%0%10
0%0%1.2%98.8%0%0%0%11
0%0%1.2%98.8%0%0%0%12
Compiler

Compiled 32 to 22 computations (31.3% saved)

sample8.8s (73.9%)

Results
7.2s36960×body256precondition
1.6s8256×body256valid
Bogosity

preprocess85.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
382×fma-def
86×sub-neg
70×cancel-sign-sub-inv
66×distribute-rgt-in
56×associate--r+
Problems
256×(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025158
143150
268150
3131150
4245150
5347150
6527150
7627150
8675150
9681150
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 (neg.f64 x) eps)) (sin.f64 (neg.f64 x)))
(-.f64 (sin.f64 (+.f64 x (neg.f64 eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 eps))
Outputs
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 (neg.f64 x) eps)) (sin.f64 (neg.f64 x)))
(-.f64 (sin.f64 (+.f64 eps (neg.f64 x))) (neg.f64 (sin.f64 x)))
(+.f64 (sin.f64 x) (sin.f64 (-.f64 eps x)))
(-.f64 (sin.f64 (+.f64 x (neg.f64 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 eps))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.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
▶49.8%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
▶49.8%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 18 to 12 computations (33.3% saved)

localize42.0ms (0.4%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
✓100.0%
(sin.f64 (+.f64 x eps))
✓49.9%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.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 (sin.f64 (+.f64 x eps)) (sin.f64 x))
0.0ms
eps
@0
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
0.0ms
x
@0
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
0.0ms
x
@-inf
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
0.0ms
x
@0
(sin.f64 (+.f64 x eps))

rewrite125.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
1024×fma-def
980×log1p-expm1-u
980×expm1-log1p-u
802×log-prod
334×fma-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01247
116047
2245147
Stop Event
1×node limit
Counts
2 → 151
Calls
Call 1
Inputs
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(sin.f64 (+.f64 x eps))
Outputs
(+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))
(+.f64 (sin.f64 (+.f64 x eps)) (*.f64 (neg.f64 (sin.f64 x)) 1))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(+.f64 (neg.f64 (sin.f64 x)) (sin.f64 (+.f64 x eps)))
(+.f64 0 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))
(*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1)
(*.f64 2 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) 2)
(*.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
(*.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2) (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) (/.f64 1 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2))))
(*.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 (+.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))))
(*.f64 (*.f64 2 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)))
(/.f64 1 (/.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3))))
(/.f64 1 (/.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2)))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3))) (neg.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2))) (neg.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(/.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (neg.f64 (sin.f64 x)) 3)) (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (-.f64 (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x))) (*.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x))))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x)))) (-.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x))))
(pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1)
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2)
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))
(log.f64 (*.f64 (exp.f64 (sin.f64 (+.f64 x eps))) (/.f64 1 (exp.f64 (sin.f64 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sin.f64 (+.f64 x eps)))) (/.f64 1 (exp.f64 (sin.f64 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sin.f64 (+.f64 x eps)))) (exp.f64 (neg.f64 (sin.f64 x)))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (sin.f64 x))) (exp.f64 (sin.f64 (+.f64 x eps)))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (sin.f64 x))) (+.f64 1 (expm1.f64 (sin.f64 (+.f64 x eps))))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (sin.f64 x))) (exp.f64 (sin.f64 (+.f64 x eps)))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (sin.f64 x))) (+.f64 1 (expm1.f64 (sin.f64 (+.f64 x eps))))))
(log.f64 (/.f64 (exp.f64 (sin.f64 (+.f64 x eps))) (+.f64 1 (expm1.f64 (sin.f64 x)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (sin.f64 (+.f64 x eps)))) (exp.f64 (sin.f64 x))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (sin.f64 (+.f64 x eps)))) (+.f64 1 (expm1.f64 (sin.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(exp.f64 (log.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 1))
(log1p.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(fma.f64 (sin.f64 (+.f64 x eps)) 1 (neg.f64 (sin.f64 x)))
(fma.f64 (sin.f64 (+.f64 x eps)) 1 (*.f64 (neg.f64 (sin.f64 x)) 1))
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(fma.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1 (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(fma.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1 (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 2 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(fma.f64 2 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(fma.f64 2 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) 2 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(fma.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) 2 (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(fma.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) 2 (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 1 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))
(fma.f64 1 (sin.f64 (+.f64 x eps)) (*.f64 (neg.f64 (sin.f64 x)) 1))
(fma.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(fma.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(fma.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 1 (neg.f64 (sin.f64 x)) (sin.f64 (+.f64 x eps)))
(fma.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(fma.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(fma.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2) (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2) (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2) (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (neg.f64 (cbrt.f64 (sin.f64 x))) (sin.f64 (+.f64 x eps)))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2) (neg.f64 (sin.f64 x)))
(fma.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2) (*.f64 (neg.f64 (sin.f64 x)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2) (cbrt.f64 (sin.f64 (+.f64 x eps))) (neg.f64 (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2) (cbrt.f64 (sin.f64 (+.f64 x eps))) (*.f64 (neg.f64 (sin.f64 x)) 1))
(fma.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (sqrt.f64 (sin.f64 x)) (neg.f64 (sqrt.f64 (sin.f64 x))) (sin.f64 (+.f64 x eps)))
(fma.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 (+.f64 x eps))) (neg.f64 (sin.f64 x)))
(fma.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 (+.f64 x eps))) (*.f64 (neg.f64 (sin.f64 x)) 1))
(fma.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) (/.f64 1 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(fma.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) (/.f64 1 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(fma.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) (/.f64 1 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(fma.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(fma.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 (+.f64 x eps)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))) (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (sin.f64 x))) (cbrt.f64 (neg.f64 (sin.f64 x)))) (cbrt.f64 (neg.f64 (sin.f64 x))) (sin.f64 (+.f64 x eps)))
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (sqrt.f64 (neg.f64 (sin.f64 x))) (sqrt.f64 (neg.f64 (sin.f64 x))) (sin.f64 (+.f64 x eps)))
(fma.f64 -1 (sin.f64 x) (sin.f64 (+.f64 x eps)))
(fma.f64 (+.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)) (sin.f64 (+.f64 x eps)))
(fma.f64 (*.f64 2 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(fma.f64 (*.f64 2 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(fma.f64 (*.f64 2 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 0 (sin.f64 (+.f64 x eps)))
(+.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 1) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 1))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (cbrt.f64 (exp.f64 (sin.f64 (+.f64 x eps)))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (+.f64 x eps))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (+.f64 x eps))))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (+.f64 x eps))))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 1)
(-.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 (+.f64 x eps)))) (cos.f64 1)) (*.f64 (cos.f64 (exp.f64 (log1p.f64 (+.f64 x eps)))) (sin.f64 1)))
(-.f64 (*.f64 (sin.f64 (/.f64 (pow.f64 x 2) (-.f64 x eps))) (cos.f64 (/.f64 (pow.f64 eps 2) (-.f64 x eps)))) (*.f64 (cos.f64 (/.f64 (pow.f64 x 2) (-.f64 x eps))) (sin.f64 (/.f64 (pow.f64 eps 2) (-.f64 x eps)))))
(*.f64 (sin.f64 (+.f64 x eps)) 1)
(*.f64 1 (sin.f64 (+.f64 x eps)))
(*.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2) (cbrt.f64 (sin.f64 (+.f64 x eps))))
(*.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 (+.f64 x eps))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3)) (fma.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))))))
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))) (sin.f64 (-.f64 x eps)))
(pow.f64 (sin.f64 (+.f64 x eps)) 1)
(pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3)
(pow.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) 1/3)
(pow.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) 2)
(sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2))
(log.f64 (exp.f64 (sin.f64 (+.f64 x eps))))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (+.f64 x eps)))))
(log.f64 (*.f64 (exp.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (exp.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))))
(cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3))
(expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps))))
(exp.f64 (log.f64 (sin.f64 (+.f64 x eps))))
(exp.f64 (*.f64 (log.f64 (sin.f64 (+.f64 x eps))) 1))
(log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps))))
(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 1 (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 1))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 1 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))) (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps)))) (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (sin.f64 x) (cos.f64 eps)))

simplify107.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
806×fma-neg
762×unswap-sqr
656×associate-+l+
640×distribute-lft-in
590×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03748764
18698390
226897952
Stop Event
1×node limit
Counts
199 → 230
Calls
Call 1
Inputs
(sin.f64 eps)
(+.f64 (sin.f64 eps) (*.f64 x (-.f64 (cos.f64 eps) 1)))
(+.f64 (sin.f64 eps) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (*.f64 x (-.f64 (cos.f64 eps) 1))))
(+.f64 (sin.f64 eps) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 x (-.f64 (cos.f64 eps) 1)) (*.f64 (pow.f64 x 3) (+.f64 1/6 (*.f64 -1/6 (cos.f64 eps)))))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(*.f64 eps (cos.f64 x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 eps (cos.f64 x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 eps (cos.f64 x))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (*.f64 eps (cos.f64 x)))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(sin.f64 eps)
(+.f64 (sin.f64 eps) (*.f64 x (cos.f64 eps)))
(+.f64 (sin.f64 eps) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (*.f64 x (cos.f64 eps))))
(+.f64 (sin.f64 eps) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 x 3) (cos.f64 eps))) (*.f64 x (cos.f64 eps)))))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 x)
(+.f64 (sin.f64 x) (*.f64 eps (cos.f64 x)))
(+.f64 (sin.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 eps (cos.f64 x))))
(+.f64 (sin.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 eps (cos.f64 x)))))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))
(+.f64 (sin.f64 (+.f64 x eps)) (*.f64 (neg.f64 (sin.f64 x)) 1))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(+.f64 (neg.f64 (sin.f64 x)) (sin.f64 (+.f64 x eps)))
(+.f64 0 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))
(*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1)
(*.f64 2 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) 2)
(*.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
(*.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2) (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) (/.f64 1 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2))))
(*.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 (+.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))))
(*.f64 (*.f64 2 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)))
(/.f64 1 (/.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3))))
(/.f64 1 (/.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2)))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3))) (neg.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2))) (neg.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(/.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (neg.f64 (sin.f64 x)) 3)) (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (-.f64 (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x))) (*.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x))))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x)))) (-.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x))))
(pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1)
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2)
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))
(log.f64 (*.f64 (exp.f64 (sin.f64 (+.f64 x eps))) (/.f64 1 (exp.f64 (sin.f64 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sin.f64 (+.f64 x eps)))) (/.f64 1 (exp.f64 (sin.f64 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sin.f64 (+.f64 x eps)))) (exp.f64 (neg.f64 (sin.f64 x)))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (sin.f64 x))) (exp.f64 (sin.f64 (+.f64 x eps)))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (sin.f64 x))) (+.f64 1 (expm1.f64 (sin.f64 (+.f64 x eps))))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (sin.f64 x))) (exp.f64 (sin.f64 (+.f64 x eps)))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (sin.f64 x))) (+.f64 1 (expm1.f64 (sin.f64 (+.f64 x eps))))))
(log.f64 (/.f64 (exp.f64 (sin.f64 (+.f64 x eps))) (+.f64 1 (expm1.f64 (sin.f64 x)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (sin.f64 (+.f64 x eps)))) (exp.f64 (sin.f64 x))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (sin.f64 (+.f64 x eps)))) (+.f64 1 (expm1.f64 (sin.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(exp.f64 (log.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 1))
(log1p.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(fma.f64 (sin.f64 (+.f64 x eps)) 1 (neg.f64 (sin.f64 x)))
(fma.f64 (sin.f64 (+.f64 x eps)) 1 (*.f64 (neg.f64 (sin.f64 x)) 1))
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(fma.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1 (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(fma.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1 (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 2 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(fma.f64 2 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(fma.f64 2 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) 2 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(fma.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) 2 (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(fma.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) 2 (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 1 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))
(fma.f64 1 (sin.f64 (+.f64 x eps)) (*.f64 (neg.f64 (sin.f64 x)) 1))
(fma.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(fma.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(fma.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 1 (neg.f64 (sin.f64 x)) (sin.f64 (+.f64 x eps)))
(fma.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(fma.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(fma.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2) (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2) (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2) (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (neg.f64 (cbrt.f64 (sin.f64 x))) (sin.f64 (+.f64 x eps)))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2) (neg.f64 (sin.f64 x)))
(fma.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2) (*.f64 (neg.f64 (sin.f64 x)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2) (cbrt.f64 (sin.f64 (+.f64 x eps))) (neg.f64 (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2) (cbrt.f64 (sin.f64 (+.f64 x eps))) (*.f64 (neg.f64 (sin.f64 x)) 1))
(fma.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (sqrt.f64 (sin.f64 x)) (neg.f64 (sqrt.f64 (sin.f64 x))) (sin.f64 (+.f64 x eps)))
(fma.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 (+.f64 x eps))) (neg.f64 (sin.f64 x)))
(fma.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 (+.f64 x eps))) (*.f64 (neg.f64 (sin.f64 x)) 1))
(fma.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) (/.f64 1 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(fma.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) (/.f64 1 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(fma.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) (/.f64 1 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(fma.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(fma.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 (+.f64 x eps)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))) (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (sin.f64 x))) (cbrt.f64 (neg.f64 (sin.f64 x)))) (cbrt.f64 (neg.f64 (sin.f64 x))) (sin.f64 (+.f64 x eps)))
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (sqrt.f64 (neg.f64 (sin.f64 x))) (sqrt.f64 (neg.f64 (sin.f64 x))) (sin.f64 (+.f64 x eps)))
(fma.f64 -1 (sin.f64 x) (sin.f64 (+.f64 x eps)))
(fma.f64 (+.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)) (sin.f64 (+.f64 x eps)))
(fma.f64 (*.f64 2 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(fma.f64 (*.f64 2 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(fma.f64 (*.f64 2 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 0 (sin.f64 (+.f64 x eps)))
(+.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 1) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 1))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (cbrt.f64 (exp.f64 (sin.f64 (+.f64 x eps)))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (+.f64 x eps))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (+.f64 x eps))))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (+.f64 x eps))))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 1)
(-.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 (+.f64 x eps)))) (cos.f64 1)) (*.f64 (cos.f64 (exp.f64 (log1p.f64 (+.f64 x eps)))) (sin.f64 1)))
(-.f64 (*.f64 (sin.f64 (/.f64 (pow.f64 x 2) (-.f64 x eps))) (cos.f64 (/.f64 (pow.f64 eps 2) (-.f64 x eps)))) (*.f64 (cos.f64 (/.f64 (pow.f64 x 2) (-.f64 x eps))) (sin.f64 (/.f64 (pow.f64 eps 2) (-.f64 x eps)))))
(*.f64 (sin.f64 (+.f64 x eps)) 1)
(*.f64 1 (sin.f64 (+.f64 x eps)))
(*.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2) (cbrt.f64 (sin.f64 (+.f64 x eps))))
(*.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 (+.f64 x eps))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3)) (fma.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))))))
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))) (sin.f64 (-.f64 x eps)))
(pow.f64 (sin.f64 (+.f64 x eps)) 1)
(pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3)
(pow.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) 1/3)
(pow.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) 2)
(sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2))
(log.f64 (exp.f64 (sin.f64 (+.f64 x eps))))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (+.f64 x eps)))))
(log.f64 (*.f64 (exp.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (exp.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))))
(cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3))
(expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps))))
(exp.f64 (log.f64 (sin.f64 (+.f64 x eps))))
(exp.f64 (*.f64 (log.f64 (sin.f64 (+.f64 x eps))) 1))
(log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps))))
(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 1 (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 1))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 1 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))) (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps)))) (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (sin.f64 x) (cos.f64 eps)))
Outputs
(sin.f64 eps)
(+.f64 (sin.f64 eps) (*.f64 x (-.f64 (cos.f64 eps) 1)))
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) -1)))
(fma.f64 x (+.f64 (cos.f64 eps) -1) (sin.f64 eps))
(+.f64 (sin.f64 eps) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (*.f64 x (-.f64 (cos.f64 eps) 1))))
(+.f64 (sin.f64 eps) (fma.f64 -1/2 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (*.f64 x (+.f64 (cos.f64 eps) -1))))
(+.f64 (*.f64 x (+.f64 (cos.f64 eps) -1)) (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) (sin.f64 eps)))
(+.f64 (*.f64 x (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)))
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(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))) (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps)))) (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))

eval51.0ms (0.4%)

Compiler

Compiled 4205 to 1390 computations (66.9% saved)

prune38.0ms (0.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New2255230
Fresh000
Picked011
Done000
Total2256231
Accuracy
100.0%
Counts
231 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓49.8%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
▶99.9%
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 eps (cos.f64 x)))
▶49.8%
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) 2)
▶100.0%
(*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 eps 1/2))))
▶99.5%
(*.f64 eps (cos.f64 x))
▶97.9%
(sin.f64 eps)
✓49.8%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
▶99.9%
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 eps (cos.f64 x)))
▶49.8%
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) 2)
▶100.0%
(*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 eps 1/2))))
▶99.5%
(*.f64 eps (cos.f64 x))
▶97.9%
(sin.f64 eps)
Compiler

Compiled 266 to 196 computations (26.3% saved)

localize241.0ms (2%)

Localize:

Found 8 expressions with local error:

NewAccuracyProgram
✓100.0%
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 eps (cos.f64 x)))
✓100.0%
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
✓100.0%
(*.f64 eps (cos.f64 x))
✓99.9%
(*.f64 (pow.f64 eps 2) (sin.f64 x))
✓100.0%
(*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)))
✓49.8%
(+.f64 x (-.f64 eps x))
✓100.0%
(*.f64 eps (cos.f64 x))
✓100.0%
(*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 eps 1/2))))
Compiler

Compiled 190 to 91 computations (52.1% saved)

series15.0ms (0.1%)

Counts
8 → 95
Calls

48 calls:

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

rewrite149.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
898×expm1-udef
476×associate-*r*
294×associate-*l*
246×log1p-expm1-u
246×expm1-log1p-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035267
1573243
27547243
Stop Event
1×node limit
Counts
8 → 166
Calls
Call 1
Inputs
(*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 eps 1/2))))
(*.f64 eps (cos.f64 x))
(+.f64 x (-.f64 eps x))
(*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 eps (cos.f64 x)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 1/2 eps)))))) 1)
(pow.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 1/2 eps)))) 1)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 1/2 eps))))) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 1/2 eps)))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 1/2 eps))))) 2)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 1/2 eps)))) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 2) (sin.f64 (*.f64 1/2 eps))) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 1/2 eps)))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 1/2 eps)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3) (pow.f64 (*.f64 2 (sin.f64 (*.f64 1/2 eps))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 2 (sin.f64 (*.f64 1/2 eps))) 3) (pow.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 1/2 eps))))))
(exp.f64 (log.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 1/2 eps))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 1/2 eps))))) 1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 1/2 eps))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (cos.f64 x)))) 1)
(pow.f64 (*.f64 eps (cos.f64 x)) 1)
(pow.f64 (cbrt.f64 (*.f64 eps (cos.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 eps (cos.f64 x))) 2)
(sqrt.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 2))
(log.f64 (pow.f64 (exp.f64 eps) (cos.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (cos.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 eps (cos.f64 x))))
(exp.f64 (log.f64 (*.f64 eps (cos.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (cos.f64 x))) 1))
(log1p.f64 (expm1.f64 (*.f64 eps (cos.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 (-.f64 eps 0) 1)
(*.f64 1 (-.f64 eps 0))
(*.f64 (cbrt.f64 (-.f64 eps 0)) (pow.f64 (cbrt.f64 (-.f64 eps 0)) 2))
(*.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 (-.f64 eps x) 3) (pow.f64 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 (-.f64 eps x) 3) (pow.f64 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 (-.f64 eps x) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (-.f64 eps x) (-.f64 eps (/.f64 0 0)))))
(/.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 x (-.f64 eps x)))))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (-.f64 eps x) 2)) (+.f64 (-.f64 x eps) x))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 eps x) 3) (pow.f64 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 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 (*.f64 (+.f64 x eps) (+.f64 x eps)) (pow.f64 x 2)) (fma.f64 2 x eps))
(/.f64 (-.f64 (pow.f64 (-.f64 eps x) 2) (pow.f64 x 2)) (-.f64 eps (/.f64 0 0)))
(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 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 (-.f64 eps 0)))))) 1)
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 (-.f64 eps 0) (fma.f64 2 x eps)))) (sin.f64 (*.f64 1/2 (+.f64 (-.f64 eps 0) (fma.f64 2 x eps))))) 2)
(/.f64 1 (/.f64 2 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 (-.f64 eps 0) (fma.f64 2 x eps)))) (sin.f64 (*.f64 1/2 (+.f64 (-.f64 eps 0) (fma.f64 2 x eps)))))))
(/.f64 (neg.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 (-.f64 eps 0) (fma.f64 2 x eps)))) (sin.f64 (*.f64 1/2 (+.f64 (-.f64 eps 0) (fma.f64 2 x eps)))))) -2)
(pow.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 (-.f64 eps 0)))) 1)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 (-.f64 eps 0))))) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 (-.f64 eps 0)))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 (-.f64 eps 0))))) 2)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 (-.f64 eps 0)))) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))) (sin.f64 (*.f64 1/2 (-.f64 eps 0)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 (-.f64 eps 0)))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 (-.f64 eps 0)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 eps 0))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 eps 0))) 3) (pow.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 (-.f64 eps 0))))))
(exp.f64 (log.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 (-.f64 eps 0))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 (-.f64 eps 0))))) 1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 (-.f64 eps 0))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)))) 1)
(pow.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) 3) 1/3)
(pow.f64 (*.f64 eps (sqrt.f64 (sin.f64 x))) 2)
(sqrt.f64 (*.f64 (pow.f64 eps 4) (pow.f64 (sin.f64 x) 2)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) (sin.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 eps 2) 3) (pow.f64 (sin.f64 x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (pow.f64 eps 2) 3)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(exp.f64 (log.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x))) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (cos.f64 x)))) 1)
(pow.f64 (*.f64 eps (cos.f64 x)) 1)
(pow.f64 (cbrt.f64 (*.f64 eps (cos.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 eps (cos.f64 x))) 2)
(sqrt.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 2))
(log.f64 (pow.f64 (exp.f64 eps) (cos.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (cos.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 eps (cos.f64 x))))
(exp.f64 (log.f64 (*.f64 eps (cos.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (cos.f64 x))) 1))
(log1p.f64 (expm1.f64 (*.f64 eps (cos.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2)))) 1)
(pow.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2))) 3)
(pow.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) 3) -1/8) 1/3)
(pow.f64 (*.f64 (*.f64 eps (sqrt.f64 (sin.f64 x))) (sqrt.f64 -1/2)) 2)
(sqrt.f64 (*.f64 (*.f64 (pow.f64 eps 4) (pow.f64 (sin.f64 x) 2)) 1/4))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) (sin.f64 x)) -1/2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2)))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) 3) -1/8))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2))))
(exp.f64 (log.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 eps (cos.f64 x) (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2))))) 1)
(-.f64 (/.f64 (*.f64 (*.f64 (pow.f64 eps 4) (pow.f64 (sin.f64 x) 2)) 1/4) (-.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2)) (*.f64 eps (cos.f64 x)))) (/.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 2) (-.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2)) (*.f64 eps (cos.f64 x)))))
(*.f64 (fma.f64 eps (cos.f64 x) (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2))) 1)
(*.f64 1 (fma.f64 eps (cos.f64 x) (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2))))
(*.f64 (cbrt.f64 (fma.f64 eps (cos.f64 x) (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2)))) (pow.f64 (cbrt.f64 (fma.f64 eps (cos.f64 x) (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 eps (cos.f64 x) (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2)))) 2) (cbrt.f64 (fma.f64 eps (cos.f64 x) (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2)))))
(*.f64 (sqrt.f64 (fma.f64 eps (cos.f64 x) (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2)))) (sqrt.f64 (fma.f64 eps (cos.f64 x) (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2)))))
(*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) 3) -1/8) (pow.f64 (*.f64 eps (cos.f64 x)) 3)) (/.f64 1 (+.f64 (*.f64 (*.f64 (pow.f64 eps 4) (pow.f64 (sin.f64 x) 2)) 1/4) (*.f64 (*.f64 eps (cos.f64 x)) (-.f64 (*.f64 eps (cos.f64 x)) (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2)))))))
(*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 eps 4) (pow.f64 (sin.f64 x) 2)) 1/4) (pow.f64 (*.f64 eps (cos.f64 x)) 2)) (/.f64 1 (-.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2)) (*.f64 eps (cos.f64 x)))))
(/.f64 1 (/.f64 (+.f64 (*.f64 (*.f64 (pow.f64 eps 4) (pow.f64 (sin.f64 x) 2)) 1/4) (*.f64 (*.f64 eps (cos.f64 x)) (-.f64 (*.f64 eps (cos.f64 x)) (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2))))) (+.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) 3) -1/8) (pow.f64 (*.f64 eps (cos.f64 x)) 3))))
(/.f64 1 (/.f64 (-.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2)) (*.f64 eps (cos.f64 x))) (-.f64 (*.f64 (*.f64 (pow.f64 eps 4) (pow.f64 (sin.f64 x) 2)) 1/4) (pow.f64 (*.f64 eps (cos.f64 x)) 2))))
(/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) 3) -1/8) (pow.f64 (*.f64 eps (cos.f64 x)) 3)) (+.f64 (*.f64 (*.f64 (pow.f64 eps 4) (pow.f64 (sin.f64 x) 2)) 1/4) (*.f64 (*.f64 eps (cos.f64 x)) (-.f64 (*.f64 eps (cos.f64 x)) (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2))))))
(/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) 3) -1/8) (pow.f64 (*.f64 eps (cos.f64 x)) 3)) (+.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 2) (-.f64 (*.f64 (*.f64 (pow.f64 eps 4) (pow.f64 (sin.f64 x) 2)) 1/4) (*.f64 (*.f64 eps (cos.f64 x)) (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 eps 4) (pow.f64 (sin.f64 x) 2)) 1/4) (pow.f64 (*.f64 eps (cos.f64 x)) 2)) (-.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2)) (*.f64 eps (cos.f64 x))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) 3) -1/8) (pow.f64 (*.f64 eps (cos.f64 x)) 3))) (neg.f64 (+.f64 (*.f64 (*.f64 (pow.f64 eps 4) (pow.f64 (sin.f64 x) 2)) 1/4) (*.f64 (*.f64 eps (cos.f64 x)) (-.f64 (*.f64 eps (cos.f64 x)) (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (pow.f64 eps 4) (pow.f64 (sin.f64 x) 2)) 1/4) (pow.f64 (*.f64 eps (cos.f64 x)) 2))) (neg.f64 (-.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2)) (*.f64 eps (cos.f64 x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 2) (*.f64 (*.f64 (pow.f64 eps 4) (pow.f64 (sin.f64 x) 2)) 1/4)) (-.f64 (*.f64 eps (cos.f64 x)) (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2))))
(pow.f64 (fma.f64 eps (cos.f64 x) (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2))) 1)
(pow.f64 (cbrt.f64 (fma.f64 eps (cos.f64 x) (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2)))) 3)
(pow.f64 (pow.f64 (fma.f64 eps (cos.f64 x) (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 eps (cos.f64 x) (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 eps (cos.f64 x) (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2))) 2))
(log.f64 (exp.f64 (fma.f64 eps (cos.f64 x) (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 eps (cos.f64 x) (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2))))))
(cbrt.f64 (pow.f64 (fma.f64 eps (cos.f64 x) (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2))) 3))
(expm1.f64 (log1p.f64 (fma.f64 eps (cos.f64 x) (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2)))))
(exp.f64 (log.f64 (fma.f64 eps (cos.f64 x) (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 eps (cos.f64 x) (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 eps (cos.f64 x) (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2)))))
(fma.f64 eps (cos.f64 x) (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2)))
(fma.f64 (cos.f64 x) eps (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2)))
(fma.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) -1/2 (*.f64 eps (cos.f64 x)))
(fma.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (*.f64 eps (cos.f64 x)))
(fma.f64 1 (*.f64 eps (cos.f64 x)) (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2)))
(fma.f64 1 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2)) (*.f64 eps (cos.f64 x)))
(fma.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 eps 4) (pow.f64 (sin.f64 x) 2)) 1/4)) (cbrt.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2))) (*.f64 eps (cos.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps (cos.f64 x))) 2) (cbrt.f64 (*.f64 eps (cos.f64 x))) (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2)))
(fma.f64 (*.f64 (*.f64 eps (sqrt.f64 (sin.f64 x))) (sqrt.f64 -1/2)) (*.f64 (*.f64 eps (sqrt.f64 (sin.f64 x))) (sqrt.f64 -1/2)) (*.f64 eps (cos.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 eps (cos.f64 x))) (sqrt.f64 (*.f64 eps (cos.f64 x))) (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2)))
(fma.f64 (*.f64 (pow.f64 eps 2) -1/2) (sin.f64 x) (*.f64 eps (cos.f64 x)))

simplify74.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
164×*-commutative
128×+-commutative
126×sqr-pow
84×fma-def
56×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048611462
1131011462
Stop Event
1×unsound
Counts
261 → 258
Calls
Call 1
Inputs
(*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))
(+.f64 (*.f64 -2 (*.f64 x (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))))
(+.f64 (*.f64 -2 (*.f64 x (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 x 2) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))) (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))))
(+.f64 (*.f64 -2 (*.f64 x (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 x 2) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))))))
(*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 eps (cos.f64 x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 eps (cos.f64 x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (*.f64 2 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/16 (cos.f64 x)) (*.f64 -1/48 (cos.f64 x))))) (*.f64 eps (cos.f64 x))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 2 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/16 (cos.f64 x)) (*.f64 -1/48 (cos.f64 x))))) (*.f64 eps (cos.f64 x)))))
(*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 eps))))
eps
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(+.f64 eps (+.f64 (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))) (*.f64 1/24 (*.f64 eps (pow.f64 x 4)))))
(+.f64 eps (+.f64 (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))) (+.f64 (*.f64 -1/720 (*.f64 eps (pow.f64 x 6))) (*.f64 1/24 (*.f64 eps (pow.f64 x 4))))))
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
(*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))
(+.f64 (*.f64 -1 (*.f64 x (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))
(+.f64 (*.f64 -1 (*.f64 x (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))))
(+.f64 (*.f64 -1 (*.f64 x (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))))
(*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 1/2 (*.f64 eps (cos.f64 x)))
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 1/2 (*.f64 eps (cos.f64 x))))
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (*.f64 1/2 (*.f64 eps (cos.f64 x))) (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/16 (cos.f64 x)) (*.f64 -1/48 (cos.f64 x))))))
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (*.f64 1/48 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 1/2 (*.f64 eps (cos.f64 x))) (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/16 (cos.f64 x)) (*.f64 -1/48 (cos.f64 x)))))))
(*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (pow.f64 eps 2) x)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 (pow.f64 eps 2) x))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 eps 2) (pow.f64 x 5))) (*.f64 (pow.f64 eps 2) x)))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 eps 2) (pow.f64 x 7))) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 eps 2) (pow.f64 x 5))) (*.f64 (pow.f64 eps 2) x))))
eps
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(+.f64 eps (+.f64 (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))) (*.f64 1/24 (*.f64 eps (pow.f64 x 4)))))
(+.f64 eps (+.f64 (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))) (+.f64 (*.f64 -1/720 (*.f64 eps (pow.f64 x 6))) (*.f64 1/24 (*.f64 eps (pow.f64 x 4))))))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (*.f64 1/12 (*.f64 (pow.f64 eps 2) (pow.f64 x 3))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (+.f64 (*.f64 -1/240 (*.f64 (pow.f64 eps 2) (pow.f64 x 5))) (*.f64 1/12 (*.f64 (pow.f64 eps 2) (pow.f64 x 3)))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (+.f64 (*.f64 -1/240 (*.f64 (pow.f64 eps 2) (pow.f64 x 5))) (+.f64 (*.f64 1/10080 (*.f64 (pow.f64 eps 2) (pow.f64 x 7))) (*.f64 1/12 (*.f64 (pow.f64 eps 2) (pow.f64 x 3))))))
(*.f64 eps (cos.f64 x))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
eps
(+.f64 eps (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)))
(+.f64 eps (+.f64 (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))))
(+.f64 eps (+.f64 (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (*.f64 1/12 (*.f64 (pow.f64 eps 2) (pow.f64 x 3))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 1/2 eps)))))) 1)
(pow.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 1/2 eps)))) 1)
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(cbrt.f64 (pow.f64 (fma.f64 eps (cos.f64 x) (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2))) 3))
(expm1.f64 (log1p.f64 (fma.f64 eps (cos.f64 x) (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2)))))
(exp.f64 (log.f64 (fma.f64 eps (cos.f64 x) (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 eps (cos.f64 x) (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 eps (cos.f64 x) (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2)))))
(fma.f64 eps (cos.f64 x) (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2)))
(fma.f64 (cos.f64 x) eps (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2)))
(fma.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) -1/2 (*.f64 eps (cos.f64 x)))
(fma.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (*.f64 eps (cos.f64 x)))
(fma.f64 1 (*.f64 eps (cos.f64 x)) (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2)))
(fma.f64 1 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2)) (*.f64 eps (cos.f64 x)))
(fma.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 eps 4) (pow.f64 (sin.f64 x) 2)) 1/4)) (cbrt.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2))) (*.f64 eps (cos.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps (cos.f64 x))) 2) (cbrt.f64 (*.f64 eps (cos.f64 x))) (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2)))
(fma.f64 (*.f64 (*.f64 eps (sqrt.f64 (sin.f64 x))) (sqrt.f64 -1/2)) (*.f64 (*.f64 eps (sqrt.f64 (sin.f64 x))) (sqrt.f64 -1/2)) (*.f64 eps (cos.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 eps (cos.f64 x))) (sqrt.f64 (*.f64 eps (cos.f64 x))) (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2)))
(fma.f64 (*.f64 (pow.f64 eps 2) -1/2) (sin.f64 x) (*.f64 eps (cos.f64 x)))
Outputs
(*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))
(+.f64 (*.f64 -2 (*.f64 x (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))))
(fma.f64 -2 (*.f64 x (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))))
(+.f64 (*.f64 -2 (*.f64 x (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 x 2) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))) (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))))
(fma.f64 -2 (*.f64 x (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (fma.f64 -1 (*.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))) (pow.f64 x 2)) (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))))
(+.f64 (*.f64 -2 (*.f64 x (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 x 2) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))))))
(fma.f64 -2 (*.f64 x (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (fma.f64 -1 (*.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))) (pow.f64 x 2)) (fma.f64 1/3 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (pow.f64 x 3)) (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))))))
(*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(*.f64 eps (cos.f64 x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 eps (cos.f64 x)))
(fma.f64 eps (cos.f64 x) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (*.f64 2 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/16 (cos.f64 x)) (*.f64 -1/48 (cos.f64 x))))) (*.f64 eps (cos.f64 x))))
(fma.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (fma.f64 2 (*.f64 (pow.f64 eps 3) (*.f64 (cos.f64 x) -1/12)) (*.f64 eps (cos.f64 x))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 2 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/16 (cos.f64 x)) (*.f64 -1/48 (cos.f64 x))))) (*.f64 eps (cos.f64 x)))))
(fma.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 2 (*.f64 (pow.f64 eps 3) (*.f64 (cos.f64 x) -1/12)) (*.f64 eps (cos.f64 x)))))
(*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
eps
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(+.f64 eps (+.f64 (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))) (*.f64 1/24 (*.f64 eps (pow.f64 x 4)))))
(+.f64 eps (fma.f64 -1/2 (*.f64 eps (pow.f64 x 2)) (*.f64 1/24 (*.f64 eps (pow.f64 x 4)))))
(+.f64 eps (+.f64 (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))) (+.f64 (*.f64 -1/720 (*.f64 eps (pow.f64 x 6))) (*.f64 1/24 (*.f64 eps (pow.f64 x 4))))))
(+.f64 eps (fma.f64 -1/2 (*.f64 eps (pow.f64 x 2)) (fma.f64 -1/720 (*.f64 eps (pow.f64 x 6)) (*.f64 1/24 (*.f64 eps (pow.f64 x 4))))))
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
(*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))
(+.f64 (*.f64 -1 (*.f64 x (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))
(fma.f64 -1 (*.f64 x (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))
(+.f64 (*.f64 -1 (*.f64 x (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))))
(fma.f64 -1 (*.f64 x (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (fma.f64 -1/2 (*.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))) (pow.f64 x 2)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))))
(+.f64 (*.f64 -1 (*.f64 x (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))))
(fma.f64 -1 (*.f64 x (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (fma.f64 -1/2 (*.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))) (pow.f64 x 2)) (fma.f64 1/6 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (pow.f64 x 3)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))))
(*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 1/2 (*.f64 eps (cos.f64 x)))
(*.f64 (*.f64 1/2 eps) (cos.f64 x))
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 1/2 (*.f64 eps (cos.f64 x))))
(fma.f64 -1/4 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (*.f64 (*.f64 1/2 eps) (cos.f64 x)))
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (*.f64 1/2 (*.f64 eps (cos.f64 x))) (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/16 (cos.f64 x)) (*.f64 -1/48 (cos.f64 x))))))
(fma.f64 -1/4 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (fma.f64 1/2 (*.f64 eps (cos.f64 x)) (*.f64 (pow.f64 eps 3) (*.f64 (cos.f64 x) -1/12))))
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (*.f64 1/48 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 1/2 (*.f64 eps (cos.f64 x))) (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/16 (cos.f64 x)) (*.f64 -1/48 (cos.f64 x)))))))
(fma.f64 -1/4 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (fma.f64 1/48 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 1/2 (*.f64 eps (cos.f64 x)) (*.f64 (pow.f64 eps 3) (*.f64 (cos.f64 x) -1/12)))))
(*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (pow.f64 eps 2) x)
(*.f64 x (pow.f64 eps 2))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 (pow.f64 eps 2) x))
(fma.f64 -1/6 (*.f64 (pow.f64 x 3) (pow.f64 eps 2)) (*.f64 x (pow.f64 eps 2)))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 eps 2) (pow.f64 x 5))) (*.f64 (pow.f64 eps 2) x)))
(fma.f64 -1/6 (*.f64 (pow.f64 x 3) (pow.f64 eps 2)) (fma.f64 1/120 (*.f64 (pow.f64 eps 2) (pow.f64 x 5)) (*.f64 x (pow.f64 eps 2))))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 eps 2) (pow.f64 x 7))) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 eps 2) (pow.f64 x 5))) (*.f64 (pow.f64 eps 2) x))))
(fma.f64 -1/6 (*.f64 (pow.f64 x 3) (pow.f64 eps 2)) (fma.f64 -1/5040 (*.f64 (pow.f64 eps 2) (pow.f64 x 7)) (fma.f64 1/120 (*.f64 (pow.f64 eps 2) (pow.f64 x 5)) (*.f64 x (pow.f64 eps 2)))))
eps
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(+.f64 eps (+.f64 (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))) (*.f64 1/24 (*.f64 eps (pow.f64 x 4)))))
(+.f64 eps (fma.f64 -1/2 (*.f64 eps (pow.f64 x 2)) (*.f64 1/24 (*.f64 eps (pow.f64 x 4)))))
(+.f64 eps (+.f64 (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))) (+.f64 (*.f64 -1/720 (*.f64 eps (pow.f64 x 6))) (*.f64 1/24 (*.f64 eps (pow.f64 x 4))))))
(+.f64 eps (fma.f64 -1/2 (*.f64 eps (pow.f64 x 2)) (fma.f64 -1/720 (*.f64 eps (pow.f64 x 6)) (*.f64 1/24 (*.f64 eps (pow.f64 x 4))))))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))
(*.f64 -1/2 (*.f64 x (pow.f64 eps 2)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (*.f64 1/12 (*.f64 (pow.f64 eps 2) (pow.f64 x 3))))
(fma.f64 -1/2 (*.f64 x (pow.f64 eps 2)) (*.f64 (*.f64 (pow.f64 x 3) (pow.f64 eps 2)) 1/12))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (+.f64 (*.f64 -1/240 (*.f64 (pow.f64 eps 2) (pow.f64 x 5))) (*.f64 1/12 (*.f64 (pow.f64 eps 2) (pow.f64 x 3)))))
(fma.f64 -1/2 (*.f64 x (pow.f64 eps 2)) (fma.f64 -1/240 (*.f64 (pow.f64 eps 2) (pow.f64 x 5)) (*.f64 (*.f64 (pow.f64 x 3) (pow.f64 eps 2)) 1/12)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (+.f64 (*.f64 -1/240 (*.f64 (pow.f64 eps 2) (pow.f64 x 5))) (+.f64 (*.f64 1/10080 (*.f64 (pow.f64 eps 2) (pow.f64 x 7))) (*.f64 1/12 (*.f64 (pow.f64 eps 2) (pow.f64 x 3))))))
(fma.f64 -1/2 (*.f64 x (pow.f64 eps 2)) (fma.f64 -1/240 (*.f64 (pow.f64 eps 2) (pow.f64 x 5)) (fma.f64 1/10080 (*.f64 (pow.f64 eps 2) (pow.f64 x 7)) (*.f64 (*.f64 (pow.f64 x 3) (pow.f64 eps 2)) 1/12))))
(*.f64 eps (cos.f64 x))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
eps
(+.f64 eps (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)))
(+.f64 eps (*.f64 -1/2 (*.f64 x (pow.f64 eps 2))))
(+.f64 eps (+.f64 (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))))
(+.f64 eps (*.f64 -1/2 (+.f64 (*.f64 eps (pow.f64 x 2)) (*.f64 x (pow.f64 eps 2)))))
(+.f64 eps (+.f64 (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (*.f64 1/12 (*.f64 (pow.f64 eps 2) (pow.f64 x 3))))))
(+.f64 eps (fma.f64 -1/2 (*.f64 eps (pow.f64 x 2)) (fma.f64 -1/2 (*.f64 x (pow.f64 eps 2)) (*.f64 (*.f64 (pow.f64 x 3) (pow.f64 eps 2)) 1/12))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 1/2 eps)))))) 1)
(*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 1/2 eps))))
(pow.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 1/2 eps)))) 1)
(*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 1/2 eps))))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 1/2 eps))))) 3)
(*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 1/2 eps))))
(pow.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 1/2 eps)))) 3) 1/3)
(*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 1/2 eps))))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 1/2 eps))))) 2)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 1/2 eps)))) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 2) (sin.f64 (*.f64 1/2 eps))) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (log.f64 (pow.f64 (exp.f64 2) (sin.f64 (*.f64 1/2 eps)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 1/2 eps)))))))
(*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 1/2 eps))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 1/2 eps)))) 3))
(*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 1/2 eps))))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3) (pow.f64 (*.f64 2 (sin.f64 (*.f64 1/2 eps))) 3)))
(*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 1/2 eps))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 2 (sin.f64 (*.f64 1/2 eps))) 3) (pow.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3)))
(*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 1/2 eps))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 1/2 eps))))))
(*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 1/2 eps))))
(exp.f64 (log.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 1/2 eps))))))
(*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 1/2 eps))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 1/2 eps))))) 1))
(*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 1/2 eps))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 1/2 eps))))))
(*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 1/2 eps))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (cos.f64 x)))) 1)
(*.f64 eps (cos.f64 x))
(pow.f64 (*.f64 eps (cos.f64 x)) 1)
(*.f64 eps (cos.f64 x))
(pow.f64 (cbrt.f64 (*.f64 eps (cos.f64 x))) 3)
(*.f64 eps (cos.f64 x))
(pow.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 3) 1/3)
(*.f64 eps (cos.f64 x))
(pow.f64 (sqrt.f64 (*.f64 eps (cos.f64 x))) 2)
(sqrt.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 2))
(log.f64 (pow.f64 (exp.f64 eps) (cos.f64 x)))
(*.f64 eps (cos.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (cos.f64 x)))))
(*.f64 eps (cos.f64 x))
(cbrt.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 3))
(*.f64 eps (cos.f64 x))
(expm1.f64 (log1p.f64 (*.f64 eps (cos.f64 x))))
(*.f64 eps (cos.f64 x))
(exp.f64 (log.f64 (*.f64 eps (cos.f64 x))))
(*.f64 eps (cos.f64 x))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (cos.f64 x))) 1))
(*.f64 eps (cos.f64 x))
(log1p.f64 (expm1.f64 (*.f64 eps (cos.f64 x))))
(*.f64 eps (cos.f64 x))
(-.f64 eps 0)
eps
(-.f64 (+.f64 x eps) x)
(+.f64 x (-.f64 eps x))
(-.f64 (exp.f64 (log1p.f64 (-.f64 eps 0))) 1)
eps
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 (-.f64 x eps) x)) (/.f64 (pow.f64 (-.f64 eps x) 2) (+.f64 (-.f64 x eps) x)))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (-.f64 eps x) 2)) (+.f64 x (+.f64 eps x)))
(*.f64 (-.f64 eps 0) 1)
eps
(*.f64 1 (-.f64 eps 0))
eps
(*.f64 (cbrt.f64 (-.f64 eps 0)) (pow.f64 (cbrt.f64 (-.f64 eps 0)) 2))
eps
(*.f64 (pow.f64 (cbrt.f64 (-.f64 eps 0)) 2) (cbrt.f64 (-.f64 eps 0)))
eps
(*.f64 (sqrt.f64 (-.f64 eps 0)) (sqrt.f64 (-.f64 eps 0)))
eps
(*.f64 (+.f64 (pow.f64 (-.f64 eps x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (*.f64 (-.f64 eps x) (-.f64 eps (/.f64 0 0))))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 eps x) 3)) (/.f64 -1 (fma.f64 x x (*.f64 eps (-.f64 eps x)))))
(*.f64 (-.f64 (pow.f64 x 2) (pow.f64 (-.f64 eps x) 2)) (/.f64 1 (+.f64 (-.f64 x eps) x)))
(/.f64 -1 (/.f64 (+.f64 x (+.f64 eps x)) (-.f64 (pow.f64 x 2) (pow.f64 (-.f64 eps x) 2))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (-.f64 eps x) (-.f64 eps (/.f64 0 0)))) (+.f64 (pow.f64 (-.f64 eps x) 3) (pow.f64 x 3))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 eps x) 3)) (/.f64 -1 (fma.f64 x x (*.f64 eps (-.f64 eps x)))))
(/.f64 1 (/.f64 (+.f64 (-.f64 x eps) x) (-.f64 (pow.f64 x 2) (pow.f64 (-.f64 eps x) 2))))
(/.f64 -1 (/.f64 (+.f64 x (+.f64 eps x)) (-.f64 (pow.f64 x 2) (pow.f64 (-.f64 eps x) 2))))
(/.f64 (+.f64 (pow.f64 (-.f64 eps x) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (-.f64 eps x) (-.f64 eps (/.f64 0 0)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 eps x) 3)) (fma.f64 x x (*.f64 eps (-.f64 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 x (-.f64 eps x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 eps x) 3)) (+.f64 (pow.f64 (-.f64 eps x) 2) (-.f64 (pow.f64 x 2) (*.f64 x (-.f64 eps x)))))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (-.f64 eps x) 2)) (+.f64 (-.f64 x eps) x))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (-.f64 eps x) 2)) (+.f64 x (+.f64 eps x)))
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(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 eps x) 3))) (neg.f64 (fma.f64 x x (*.f64 eps (-.f64 eps x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (pow.f64 (-.f64 eps x) 2))) (neg.f64 (+.f64 (-.f64 x eps) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (pow.f64 (-.f64 eps x) 2))) (neg.f64 (+.f64 x (+.f64 eps x))))
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(/.f64 (-.f64 (*.f64 (+.f64 x eps) (+.f64 x eps)) (pow.f64 x 2)) (fma.f64 2 x eps))
(/.f64 (-.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) (pow.f64 x 2)) (fma.f64 2 x eps))
(/.f64 (-.f64 (pow.f64 (-.f64 eps x) 2) (pow.f64 x 2)) (-.f64 eps (/.f64 0 0)))
(/.f64 (-.f64 (pow.f64 (-.f64 eps x) 2) (pow.f64 x 2)) eps)
(pow.f64 (-.f64 eps 0) 1)
eps
(pow.f64 (cbrt.f64 (-.f64 eps 0)) 3)
eps
(pow.f64 (pow.f64 (-.f64 eps 0) 3) 1/3)
eps
(pow.f64 (sqrt.f64 (-.f64 eps 0)) 2)
eps
(sqrt.f64 (pow.f64 (-.f64 eps 0) 2))
(sqrt.f64 (pow.f64 eps 2))
(log.f64 (exp.f64 (-.f64 eps 0)))
eps
(log.f64 (+.f64 1 (expm1.f64 (-.f64 eps 0))))
eps
(cbrt.f64 (pow.f64 (-.f64 eps 0) 3))
eps
(expm1.f64 (log1p.f64 (-.f64 eps 0)))
eps
(exp.f64 (log.f64 (-.f64 eps 0)))
eps
(exp.f64 (*.f64 (log.f64 (-.f64 eps 0)) 1))
eps
(log1p.f64 (expm1.f64 (-.f64 eps 0)))
eps
(fma.f64 1 x (-.f64 eps x))
(fma.f64 -1 x (-.f64 eps x))
(fma.f64 1 (-.f64 eps x) 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 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 (-.f64 eps 0)))))) 1)
(*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 (-.f64 eps 0) (fma.f64 2 x eps)))) (sin.f64 (*.f64 1/2 (+.f64 (-.f64 eps 0) (fma.f64 2 x eps))))) 2)
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (sin.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps))))) 2)
(/.f64 1 (/.f64 2 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 (-.f64 eps 0) (fma.f64 2 x eps)))) (sin.f64 (*.f64 1/2 (+.f64 (-.f64 eps 0) (fma.f64 2 x eps)))))))
(*.f64 1/2 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (sin.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps))))))
(/.f64 (neg.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 (-.f64 eps 0) (fma.f64 2 x eps)))) (sin.f64 (*.f64 1/2 (+.f64 (-.f64 eps 0) (fma.f64 2 x eps)))))) -2)
(/.f64 (neg.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (sin.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))))) -2)
(pow.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 (-.f64 eps 0)))) 1)
(*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 (-.f64 eps 0))))) 3)
(*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(pow.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 (-.f64 eps 0)))) 3) 1/3)
(*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 (-.f64 eps 0))))) 2)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 2)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 (-.f64 eps 0)))) 2))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))) (sin.f64 (*.f64 1/2 (-.f64 eps 0)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (log.f64 (exp.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 (-.f64 eps 0)))))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 (-.f64 eps 0)))) 3))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 eps 0))) 3)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 eps 0))) 3) (pow.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 (-.f64 eps 0))))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(exp.f64 (log.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 (-.f64 eps 0))))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 (-.f64 eps 0))))) 1))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 (-.f64 eps 0))))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)))) 1)
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(pow.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) 1)
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x))) 3)
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(pow.f64 (pow.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) 3) 1/3)
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(pow.f64 (*.f64 eps (sqrt.f64 (sin.f64 x))) 2)
(sqrt.f64 (*.f64 (pow.f64 eps 4) (pow.f64 (sin.f64 x) 2)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) (sin.f64 x)))
(*.f64 (sin.f64 x) (log.f64 (exp.f64 (pow.f64 eps 2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) 3))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 eps 2) 3) (pow.f64 (sin.f64 x) 3)))
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(fma.f64 (sqrt.f64 (*.f64 eps (cos.f64 x))) (sqrt.f64 (*.f64 eps (cos.f64 x))) (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2)))
(+.f64 (pow.f64 (sqrt.f64 (*.f64 eps (cos.f64 x))) 2) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 (*.f64 (pow.f64 eps 2) -1/2) (sin.f64 x) (*.f64 eps (cos.f64 x)))
(fma.f64 eps (cos.f64 x) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))

eval106.0ms (0.9%)

Compiler

Compiled 5963 to 3777 computations (36.7% saved)

prune51.0ms (0.4%)

Pruning

11 alts after pruning (7 fresh and 4 done)

PrunedKeptTotal
New2707277
Fresh000
Picked235
Done011
Total27211283
Accuracy
100.0%
Counts
283 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.0%
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 1/2 eps))))) 2)
✓49.8%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
✓99.9%
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 eps (cos.f64 x)))
▶99.6%
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (*.f64 eps (cos.f64 x)))
▶98.7%
(+.f64 eps (+.f64 (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))) (*.f64 1/24 (*.f64 eps (pow.f64 x 4)))))
▶98.5%
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
▶99.2%
(*.f64 (*.f64 (sin.f64 (*.f64 (pow.f64 (sqrt.f64 (-.f64 eps 0)) 2) 1/2)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) 2)
▶100.0%
(*.f64 (*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))) 2)
✓99.5%
(*.f64 eps (cos.f64 x))
✓97.9%
(sin.f64 eps)
97.9%
eps
98.0%
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 1/2 eps))))) 2)
✓49.8%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
✓99.9%
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 eps (cos.f64 x)))
▶99.6%
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (*.f64 eps (cos.f64 x)))
▶98.7%
(+.f64 eps (+.f64 (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))) (*.f64 1/24 (*.f64 eps (pow.f64 x 4)))))
▶98.5%
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
▶99.2%
(*.f64 (*.f64 (sin.f64 (*.f64 (pow.f64 (sqrt.f64 (-.f64 eps 0)) 2) 1/2)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) 2)
▶100.0%
(*.f64 (*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))) 2)
✓99.5%
(*.f64 eps (cos.f64 x))
✓97.9%
(sin.f64 eps)
97.9%
eps
Compiler

Compiled 482 to 372 computations (22.8% saved)

localize346.0ms (2.9%)

Localize:

Found 13 expressions with local error:

NewAccuracyProgram
✓100.0%
(*.f64 (sin.f64 (*.f64 (pow.f64 (sqrt.f64 (-.f64 eps 0)) 2) 1/2)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)))
✓99.2%
(pow.f64 (sqrt.f64 (-.f64 eps 0)) 2)
✓100.0%
(+.f64 (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))) (*.f64 1/24 (*.f64 eps (pow.f64 x 4))))
✓99.9%
(*.f64 eps (pow.f64 x 4))
✓99.9%
(*.f64 1/24 (*.f64 eps (pow.f64 x 4)))
✓99.8%
(*.f64 eps (pow.f64 x 2))
✓100.0%
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (*.f64 eps (cos.f64 x)))
✓100.0%
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))
100.0%
(*.f64 eps (cos.f64 x))
✓99.9%
(*.f64 (pow.f64 eps 2) x)
✓100.0%
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
✓99.8%
(*.f64 eps (pow.f64 x 2))
✓100.0%
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))
Compiler

Compiled 295 to 195 computations (33.9% saved)

series17.0ms (0.1%)

Counts
12 → 79
Calls

69 calls:

TimeVariablePointExpression
2.0ms
eps
@0
(*.f64 eps (pow.f64 x 2))
1.0ms
eps
@0
(*.f64 1/24 (*.f64 eps (pow.f64 x 4)))
1.0ms
eps
@-inf
(pow.f64 (sqrt.f64 (-.f64 eps 0)) 2)
1.0ms
eps
@0
(pow.f64 (sqrt.f64 (-.f64 eps 0)) 2)
0.0ms
x
@0
(*.f64 1/24 (*.f64 eps (pow.f64 x 4)))

rewrite93.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
358×prod-diff
291×log1p-expm1-u
291×expm1-log1p-u
283×add-cube-cbrt
282×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
046354
1777320
Stop Event
1×node limit
Counts
12 → 293
Calls
Call 1
Inputs
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 eps (pow.f64 x 2))
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(*.f64 (pow.f64 eps 2) x)
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (*.f64 eps (cos.f64 x)))
(*.f64 eps (pow.f64 x 2))
(*.f64 1/24 (*.f64 eps (pow.f64 x 4)))
(*.f64 eps (pow.f64 x 4))
(+.f64 (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))) (*.f64 1/24 (*.f64 eps (pow.f64 x 4))))
(pow.f64 (sqrt.f64 (-.f64 eps 0)) 2)
(*.f64 (sin.f64 (*.f64 (pow.f64 (sqrt.f64 (-.f64 eps 0)) 2) 1/2)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps))))) 1)
(/.f64 (+.f64 (sin.f64 (+.f64 (*.f64 1/2 eps) (*.f64 -1/2 eps))) (sin.f64 (fma.f64 1/2 eps (*.f64 1/2 eps)))) 2)
(/.f64 1 (/.f64 2 (+.f64 (sin.f64 (+.f64 (*.f64 1/2 eps) (*.f64 -1/2 eps))) (sin.f64 (fma.f64 1/2 eps (*.f64 1/2 eps))))))
(/.f64 (neg.f64 (+.f64 (sin.f64 (+.f64 (*.f64 1/2 eps) (*.f64 -1/2 eps))) (sin.f64 (fma.f64 1/2 eps (*.f64 1/2 eps))))) -2)
(pow.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps))) 1)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps)))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps)))) 2)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps))) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 eps))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps))) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 3) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 eps)) 3) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps)))))
(exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps)))))
(+.f64 (*.f64 eps (pow.f64 x 2)) (*.f64 (pow.f64 x 2) 0))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (pow.f64 x 2)))) 1)
(pow.f64 (*.f64 eps (pow.f64 x 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 eps (pow.f64 x 2))) 3)
(pow.f64 (pow.f64 (*.f64 eps (pow.f64 x 2)) 3) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 eps)) 2)
(sqrt.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 eps) (pow.f64 x 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (pow.f64 x 2)))))
(cbrt.f64 (pow.f64 (*.f64 eps (pow.f64 x 2)) 3))
(cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 x 6)))
(cbrt.f64 (*.f64 (pow.f64 x 6) (pow.f64 eps 3)))
(expm1.f64 (log1p.f64 (*.f64 eps (pow.f64 x 2))))
(exp.f64 (log.f64 (*.f64 eps (pow.f64 x 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (pow.f64 x 2))) 1))
(log1p.f64 (expm1.f64 (*.f64 eps (pow.f64 x 2))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 -1/2 eps) (pow.f64 x 2) eps))) 1)
(-.f64 (/.f64 (pow.f64 eps 2) (+.f64 eps (*.f64 1/2 (*.f64 eps (pow.f64 x 2))))) (/.f64 (*.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 4)) 1/4) (+.f64 eps (*.f64 1/2 (*.f64 eps (pow.f64 x 2))))))
(*.f64 1 (fma.f64 (*.f64 -1/2 eps) (pow.f64 x 2) eps))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 -1/2 eps) (pow.f64 x 2) eps)) 2) (cbrt.f64 (fma.f64 (*.f64 -1/2 eps) (pow.f64 x 2) eps)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 -1/2 eps) (pow.f64 x 2) eps)) (sqrt.f64 (fma.f64 (*.f64 -1/2 eps) (pow.f64 x 2) eps)))
(*.f64 (+.f64 (pow.f64 eps 3) (*.f64 (pow.f64 (*.f64 -1/2 eps) 3) (pow.f64 x 6))) (/.f64 1 (fma.f64 eps eps (-.f64 (*.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 4)) 1/4) (*.f64 eps (*.f64 (*.f64 eps (pow.f64 x 2)) -1/2))))))
(*.f64 (-.f64 (pow.f64 eps 2) (*.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 4)) 1/4)) (/.f64 1 (+.f64 eps (*.f64 1/2 (*.f64 eps (pow.f64 x 2))))))
(/.f64 1 (/.f64 (fma.f64 eps eps (-.f64 (*.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 4)) 1/4) (*.f64 eps (*.f64 (*.f64 eps (pow.f64 x 2)) -1/2)))) (+.f64 (pow.f64 eps 3) (*.f64 (pow.f64 (*.f64 -1/2 eps) 3) (pow.f64 x 6)))))
(/.f64 1 (/.f64 (+.f64 eps (*.f64 1/2 (*.f64 eps (pow.f64 x 2)))) (-.f64 (pow.f64 eps 2) (*.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 4)) 1/4))))
(/.f64 (+.f64 (pow.f64 eps 3) (*.f64 (pow.f64 (*.f64 -1/2 eps) 3) (pow.f64 x 6))) (fma.f64 eps eps (-.f64 (*.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 4)) 1/4) (*.f64 eps (*.f64 (*.f64 eps (pow.f64 x 2)) -1/2)))))
(/.f64 (-.f64 (pow.f64 eps 2) (*.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 4)) 1/4)) (+.f64 eps (*.f64 1/2 (*.f64 eps (pow.f64 x 2)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 eps 3) (*.f64 (pow.f64 (*.f64 -1/2 eps) 3) (pow.f64 x 6)))) (neg.f64 (fma.f64 eps eps (-.f64 (*.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 4)) 1/4) (*.f64 eps (*.f64 (*.f64 eps (pow.f64 x 2)) -1/2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 eps 2) (*.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 4)) 1/4))) (neg.f64 (+.f64 eps (*.f64 1/2 (*.f64 eps (pow.f64 x 2))))))
(/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 -1/2 eps) 3) (pow.f64 x 6)) (pow.f64 eps 3)) (+.f64 (*.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 4)) 1/4) (-.f64 (pow.f64 eps 2) (*.f64 (*.f64 (*.f64 eps (pow.f64 x 2)) -1/2) eps))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 4)) 1/4) (pow.f64 eps 2)) (-.f64 (*.f64 (*.f64 eps (pow.f64 x 2)) -1/2) eps))
(pow.f64 (fma.f64 (*.f64 -1/2 eps) (pow.f64 x 2) eps) 1)
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 -1/2 eps) (pow.f64 x 2) eps)) 3)
(pow.f64 (pow.f64 (fma.f64 (*.f64 -1/2 eps) (pow.f64 x 2) eps) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 -1/2 eps) (pow.f64 x 2) eps)) 2)
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 -1/2 eps) (pow.f64 x 2) eps) 2))
(log.f64 (exp.f64 (fma.f64 (*.f64 -1/2 eps) (pow.f64 x 2) eps)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 -1/2 eps) (pow.f64 x 2) eps))))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 -1/2 eps) (pow.f64 x 2) eps) 3))
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 -1/2 eps) (pow.f64 x 2) eps)))
(exp.f64 (log.f64 (fma.f64 (*.f64 -1/2 eps) (pow.f64 x 2) eps)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 -1/2 eps) (pow.f64 x 2) eps)) 1))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 -1/2 eps) (pow.f64 x 2) eps)))
(fma.f64 (*.f64 eps (pow.f64 x 2)) -1/2 eps)
(fma.f64 -1/2 (*.f64 eps (pow.f64 x 2)) eps)
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (*.f64 (*.f64 eps (pow.f64 x 2)) -1/2))
(fma.f64 1 eps (*.f64 (*.f64 eps (pow.f64 x 2)) -1/2))
(fma.f64 1 (*.f64 (*.f64 eps (pow.f64 x 2)) -1/2) eps)
(fma.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 eps) (*.f64 (*.f64 eps (pow.f64 x 2)) -1/2))
(fma.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 4)) 1/4)) (cbrt.f64 (*.f64 (*.f64 eps (pow.f64 x 2)) -1/2)) eps)
(fma.f64 (*.f64 (sqrt.f64 (*.f64 -1/2 eps)) x) (*.f64 (sqrt.f64 (*.f64 -1/2 eps)) x) eps)
(fma.f64 (*.f64 -1/2 eps) (pow.f64 x 2) eps)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (pow.f64 eps 2)))) 1)
(pow.f64 (*.f64 x (pow.f64 eps 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 eps 2))) 3)
(pow.f64 (pow.f64 (*.f64 x (pow.f64 eps 2)) 3) 1/3)
(pow.f64 (*.f64 eps (sqrt.f64 x)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 2) (pow.f64 eps 4)))
(log.f64 (pow.f64 (exp.f64 x) (pow.f64 eps 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (pow.f64 eps 2)))))
(cbrt.f64 (pow.f64 (*.f64 x (pow.f64 eps 2)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (pow.f64 eps 2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 eps 2) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (pow.f64 eps 2))))
(exp.f64 (log.f64 (*.f64 x (pow.f64 eps 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (pow.f64 eps 2))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (pow.f64 eps 2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 -1/2 (pow.f64 eps 2)) x))) 1)
(pow.f64 (*.f64 (*.f64 -1/2 (pow.f64 eps 2)) x) 1)
(pow.f64 (cbrt.f64 (*.f64 (*.f64 -1/2 (pow.f64 eps 2)) x)) 3)
(pow.f64 (pow.f64 (*.f64 (*.f64 -1/2 (pow.f64 eps 2)) x) 3) 1/3)
(pow.f64 (*.f64 (*.f64 eps (sqrt.f64 x)) (sqrt.f64 -1/2)) 2)
(sqrt.f64 (pow.f64 (*.f64 (*.f64 -1/2 (pow.f64 eps 2)) x) 2))
(log.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x (pow.f64 eps 2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 -1/2 (pow.f64 eps 2)) x))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 -1/2 (pow.f64 eps 2)) x) 3))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 -1/2 (pow.f64 eps 2)) x)))
(exp.f64 (log.f64 (*.f64 (*.f64 -1/2 (pow.f64 eps 2)) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 -1/2 (pow.f64 eps 2)) x)) 1))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 -1/2 (pow.f64 eps 2)) x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 eps (cos.f64 x) (*.f64 (*.f64 -1/2 (pow.f64 eps 2)) x)))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 -1/2 (pow.f64 eps 2)) x) 2) (-.f64 (*.f64 (*.f64 -1/2 (pow.f64 eps 2)) x) (*.f64 eps (cos.f64 x)))) (/.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 2) (-.f64 (*.f64 (*.f64 -1/2 (pow.f64 eps 2)) x) (*.f64 eps (cos.f64 x)))))
(*.f64 1 (fma.f64 eps (cos.f64 x) (*.f64 (*.f64 -1/2 (pow.f64 eps 2)) x)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 eps (cos.f64 x) (*.f64 (*.f64 -1/2 (pow.f64 eps 2)) x))) 2) (cbrt.f64 (fma.f64 eps (cos.f64 x) (*.f64 (*.f64 -1/2 (pow.f64 eps 2)) x))))
(*.f64 (sqrt.f64 (fma.f64 eps (cos.f64 x) (*.f64 (*.f64 -1/2 (pow.f64 eps 2)) x))) (sqrt.f64 (fma.f64 eps (cos.f64 x) (*.f64 (*.f64 -1/2 (pow.f64 eps 2)) x))))
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(/.f64 (pow.f64 eps 3) (pow.f64 eps 2))
(/.f64 (+.f64 (*.f64 (pow.f64 eps 3) (fma.f64 x x 0)) (*.f64 (pow.f64 eps 2) (*.f64 (fma.f64 x x 0) 0))) (*.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 (fma.f64 x x 0) 0))) (*.f64 eps (fma.f64 x x 0)))
(/.f64 (+.f64 (*.f64 (pow.f64 eps 2) 0) 0) 0)
(/.f64 (+.f64 (*.f64 (*.f64 (fma.f64 x x 0) 0) (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 (fma.f64 x x 0) 0) 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 (*.f64 0 eps) (*.f64 0 (pow.f64 eps 2))) (*.f64 0 eps))
(/.f64 (-.f64 (*.f64 (pow.f64 eps 3) (fma.f64 x x 0)) (*.f64 (pow.f64 eps 2) (*.f64 (fma.f64 x x 0) 0))) (*.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 (fma.f64 x x 0) 0))) (*.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 (neg.f64 (pow.f64 eps 2)) (neg.f64 eps))
(/.f64 (+.f64 0 (pow.f64 eps 3)) (+.f64 0 (-.f64 (pow.f64 eps 2) (*.f64 0 eps))))
(/.f64 (+.f64 (pow.f64 (+.f64 eps x) 3) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) (-.f64 (pow.f64 x 2) (*.f64 (+.f64 eps x) x))))
(/.f64 (-.f64 0 (pow.f64 eps 2)) (-.f64 0 eps))
(/.f64 (-.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) (pow.f64 x 2)) (-.f64 (+.f64 eps x) x))
(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))
(fma.f64 2 x eps)
(fma.f64 0 0 eps)
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) 0)
(fma.f64 1 eps 0)
(fma.f64 1 0 eps)
(fma.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 eps) 0)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps))))) 1)
(/.f64 (+.f64 (sin.f64 (+.f64 (*.f64 1/2 eps) (*.f64 -1/2 eps))) (sin.f64 (fma.f64 1/2 eps (*.f64 1/2 eps)))) 2)
(/.f64 1 (/.f64 2 (+.f64 (sin.f64 (+.f64 (*.f64 1/2 eps) (*.f64 -1/2 eps))) (sin.f64 (fma.f64 1/2 eps (*.f64 1/2 eps))))))
(/.f64 (neg.f64 (+.f64 (sin.f64 (+.f64 (*.f64 1/2 eps) (*.f64 -1/2 eps))) (sin.f64 (fma.f64 1/2 eps (*.f64 1/2 eps))))) -2)
(pow.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps))) 1)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps)))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps)))) 2)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps))) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 eps))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps))) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 3) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 eps)) 3) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps)))))
(exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps)))))

simplify102.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
838×fma-def
816×associate-*r*
670×associate-*l*
402×*-commutative
316×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06728556
116998556
Stop Event
1×node limit
Counts
372 → 284
Calls
Call 1
Inputs
(*.f64 1/2 (*.f64 eps (cos.f64 x)))
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 1/2 (*.f64 eps (cos.f64 x))))
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (*.f64 1/2 (*.f64 eps (cos.f64 x))) (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/16 (cos.f64 x)) (*.f64 -1/48 (cos.f64 x))))))
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (*.f64 1/48 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 1/2 (*.f64 eps (cos.f64 x))) (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/16 (cos.f64 x)) (*.f64 -1/48 (cos.f64 x)))))))
(*.f64 (cos.f64 (*.f64 -1/2 (+.f64 (*.f64 -2 x) (*.f64 -1 eps)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (cos.f64 (*.f64 -1/2 (+.f64 (*.f64 -2 x) (*.f64 -1 eps)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (cos.f64 (*.f64 -1/2 (+.f64 (*.f64 -2 x) (*.f64 -1 eps)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (cos.f64 (*.f64 -1/2 (+.f64 (*.f64 -2 x) (*.f64 -1 eps)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))
(+.f64 (*.f64 -1 (*.f64 x (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))
(+.f64 (*.f64 -1 (*.f64 x (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))))
(+.f64 (*.f64 -1 (*.f64 x (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))))
(*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 eps (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 eps (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 eps (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 eps (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 eps (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 eps (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 eps (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 eps (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 -1 (*.f64 eps (-.f64 (*.f64 1/2 (pow.f64 x 2)) 1)))
(*.f64 -1 (*.f64 eps (-.f64 (*.f64 1/2 (pow.f64 x 2)) 1)))
(*.f64 -1 (*.f64 eps (-.f64 (*.f64 1/2 (pow.f64 x 2)) 1)))
(*.f64 -1 (*.f64 eps (-.f64 (*.f64 1/2 (pow.f64 x 2)) 1)))
eps
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 eps (cos.f64 x))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))
eps
(+.f64 eps (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)))
(+.f64 eps (+.f64 (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))))
(+.f64 eps (+.f64 (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (*.f64 1/24 (*.f64 eps (pow.f64 x 4))))))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))
(*.f64 eps (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))))
(*.f64 eps (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))))
(*.f64 eps (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))))
(*.f64 eps (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))))
(*.f64 eps (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))))
(*.f64 eps (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))))
(*.f64 eps (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))))
(*.f64 eps (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))))
(*.f64 -1 (*.f64 eps (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2)))))
(*.f64 -1 (*.f64 eps (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2)))))
(*.f64 -1 (*.f64 eps (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2)))))
(*.f64 -1 (*.f64 eps (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2)))))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 1/24 (*.f64 eps (pow.f64 x 4)))
(*.f64 1/24 (*.f64 eps (pow.f64 x 4)))
(*.f64 1/2 (*.f64 eps (cos.f64 x)))
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 1/2 (*.f64 eps (cos.f64 x))))
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (*.f64 1/2 (*.f64 eps (cos.f64 x))) (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/16 (cos.f64 x)) (*.f64 -1/48 (cos.f64 x))))))
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (*.f64 1/48 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 1/2 (*.f64 eps (cos.f64 x))) (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/16 (cos.f64 x)) (*.f64 -1/48 (cos.f64 x)))))))
(*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))) (sin.f64 (*.f64 -1/2 (*.f64 eps (pow.f64 (sqrt.f64 -1) 2)))))
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))) (sin.f64 (*.f64 -1/2 (*.f64 eps (pow.f64 (sqrt.f64 -1) 2)))))
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))) (sin.f64 (*.f64 -1/2 (*.f64 eps (pow.f64 (sqrt.f64 -1) 2)))))
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))) (sin.f64 (*.f64 -1/2 (*.f64 eps (pow.f64 (sqrt.f64 -1) 2)))))
(*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))
(+.f64 (*.f64 -1 (*.f64 x (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))
(+.f64 (*.f64 -1 (*.f64 x (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))))
(+.f64 (*.f64 -1 (*.f64 x (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))))
(*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps))))) 1)
(/.f64 (+.f64 (sin.f64 (+.f64 (*.f64 1/2 eps) (*.f64 -1/2 eps))) (sin.f64 (fma.f64 1/2 eps (*.f64 1/2 eps)))) 2)
(/.f64 1 (/.f64 2 (+.f64 (sin.f64 (+.f64 (*.f64 1/2 eps) (*.f64 -1/2 eps))) (sin.f64 (fma.f64 1/2 eps (*.f64 1/2 eps))))))
(/.f64 (neg.f64 (+.f64 (sin.f64 (+.f64 (*.f64 1/2 eps) (*.f64 -1/2 eps))) (sin.f64 (fma.f64 1/2 eps (*.f64 1/2 eps))))) -2)
(pow.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps))) 1)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps)))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps)))) 2)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps))) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 eps))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps))) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 3) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 eps)) 3) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps)))))
(exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps)))))
(+.f64 (*.f64 eps (pow.f64 x 2)) (*.f64 (pow.f64 x 2) 0))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (pow.f64 x 2)))) 1)
(pow.f64 (*.f64 eps (pow.f64 x 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 eps (pow.f64 x 2))) 3)
(pow.f64 (pow.f64 (*.f64 eps (pow.f64 x 2)) 3) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 eps)) 2)
(sqrt.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 eps) (pow.f64 x 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (pow.f64 x 2)))))
(cbrt.f64 (pow.f64 (*.f64 eps (pow.f64 x 2)) 3))
(cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 x 6)))
(cbrt.f64 (*.f64 (pow.f64 x 6) (pow.f64 eps 3)))
(expm1.f64 (log1p.f64 (*.f64 eps (pow.f64 x 2))))
(exp.f64 (log.f64 (*.f64 eps (pow.f64 x 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (pow.f64 x 2))) 1))
(log1p.f64 (expm1.f64 (*.f64 eps (pow.f64 x 2))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 -1/2 eps) (pow.f64 x 2) eps))) 1)
(-.f64 (/.f64 (pow.f64 eps 2) (+.f64 eps (*.f64 1/2 (*.f64 eps (pow.f64 x 2))))) (/.f64 (*.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 4)) 1/4) (+.f64 eps (*.f64 1/2 (*.f64 eps (pow.f64 x 2))))))
(*.f64 1 (fma.f64 (*.f64 -1/2 eps) (pow.f64 x 2) eps))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 -1/2 eps) (pow.f64 x 2) eps)) 2) (cbrt.f64 (fma.f64 (*.f64 -1/2 eps) (pow.f64 x 2) eps)))
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(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 -1/2 eps) (pow.f64 x 2) (*.f64 (*.f64 1/24 eps) (pow.f64 x 4)))) 2) (cbrt.f64 (fma.f64 (*.f64 -1/2 eps) (pow.f64 x 2) (*.f64 (*.f64 1/24 eps) (pow.f64 x 4)))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 -1/2 eps) (pow.f64 x 2) (*.f64 (*.f64 1/24 eps) (pow.f64 x 4)))) (sqrt.f64 (fma.f64 (*.f64 -1/2 eps) (pow.f64 x 2) (*.f64 (*.f64 1/24 eps) (pow.f64 x 4)))))
(*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 -1/2 eps) 3) (pow.f64 x 6)) (pow.f64 (*.f64 (*.f64 1/24 eps) (pow.f64 x 4)) 3)) (/.f64 1 (+.f64 (*.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 4)) 1/4) (-.f64 (*.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 8)) 1/576) (*.f64 (*.f64 (*.f64 eps (pow.f64 x 2)) -1/2) (*.f64 (*.f64 1/24 eps) (pow.f64 x 4)))))))
(*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 4)) 1/4) (*.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 8)) 1/576)) (/.f64 1 (+.f64 (*.f64 (*.f64 eps (pow.f64 x 2)) -1/2) (*.f64 -1/24 (*.f64 eps (pow.f64 x 4))))))
(/.f64 1 (/.f64 (+.f64 (*.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 4)) 1/4) (-.f64 (*.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 8)) 1/576) (*.f64 (*.f64 (*.f64 eps (pow.f64 x 2)) -1/2) (*.f64 (*.f64 1/24 eps) (pow.f64 x 4))))) (+.f64 (*.f64 (pow.f64 (*.f64 -1/2 eps) 3) (pow.f64 x 6)) (pow.f64 (*.f64 (*.f64 1/24 eps) (pow.f64 x 4)) 3))))
(/.f64 1 (/.f64 (+.f64 (*.f64 (*.f64 eps (pow.f64 x 2)) -1/2) (*.f64 -1/24 (*.f64 eps (pow.f64 x 4)))) (-.f64 (*.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 4)) 1/4) (*.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 8)) 1/576))))
(/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 -1/2 eps) 3) (pow.f64 x 6)) (pow.f64 (*.f64 (*.f64 1/24 eps) (pow.f64 x 4)) 3)) (+.f64 (*.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 4)) 1/4) (-.f64 (*.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 8)) 1/576) (*.f64 (*.f64 (*.f64 eps (pow.f64 x 2)) -1/2) (*.f64 (*.f64 1/24 eps) (pow.f64 x 4))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 4)) 1/4) (*.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 8)) 1/576)) (+.f64 (*.f64 (*.f64 eps (pow.f64 x 2)) -1/2) (*.f64 -1/24 (*.f64 eps (pow.f64 x 4)))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (*.f64 -1/2 eps) 3) (pow.f64 x 6)) (pow.f64 (*.f64 (*.f64 1/24 eps) (pow.f64 x 4)) 3))) (neg.f64 (+.f64 (*.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 4)) 1/4) (-.f64 (*.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 8)) 1/576) (*.f64 (*.f64 (*.f64 eps (pow.f64 x 2)) -1/2) (*.f64 (*.f64 1/24 eps) (pow.f64 x 4)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 4)) 1/4) (*.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 8)) 1/576))) (neg.f64 (+.f64 (*.f64 (*.f64 eps (pow.f64 x 2)) -1/2) (*.f64 -1/24 (*.f64 eps (pow.f64 x 4))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 1/24 eps) (pow.f64 x 4)) 3) (*.f64 (pow.f64 (*.f64 -1/2 eps) 3) (pow.f64 x 6))) (+.f64 (*.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 8)) 1/576) (-.f64 (*.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 4)) 1/4) (*.f64 (*.f64 (*.f64 1/24 eps) (pow.f64 x 4)) (*.f64 (*.f64 eps (pow.f64 x 2)) -1/2)))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 8)) 1/576) (*.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 4)) 1/4)) (-.f64 (*.f64 (*.f64 1/24 eps) (pow.f64 x 4)) (*.f64 (*.f64 eps (pow.f64 x 2)) -1/2)))
(pow.f64 (fma.f64 (*.f64 -1/2 eps) (pow.f64 x 2) (*.f64 (*.f64 1/24 eps) (pow.f64 x 4))) 1)
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 -1/2 eps) (pow.f64 x 2) (*.f64 (*.f64 1/24 eps) (pow.f64 x 4)))) 3)
(pow.f64 (pow.f64 (fma.f64 (*.f64 -1/2 eps) (pow.f64 x 2) (*.f64 (*.f64 1/24 eps) (pow.f64 x 4))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 -1/2 eps) (pow.f64 x 2) (*.f64 (*.f64 1/24 eps) (pow.f64 x 4)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 -1/2 eps) (pow.f64 x 2) (*.f64 (*.f64 1/24 eps) (pow.f64 x 4))) 2))
(log.f64 (exp.f64 (fma.f64 (*.f64 -1/2 eps) (pow.f64 x 2) (*.f64 (*.f64 1/24 eps) (pow.f64 x 4)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 -1/2 eps) (pow.f64 x 2) (*.f64 (*.f64 1/24 eps) (pow.f64 x 4))))))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 -1/2 eps) (pow.f64 x 2) (*.f64 (*.f64 1/24 eps) (pow.f64 x 4))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 -1/2 eps) (pow.f64 x 2) (*.f64 (*.f64 1/24 eps) (pow.f64 x 4)))))
(exp.f64 (log.f64 (fma.f64 (*.f64 -1/2 eps) (pow.f64 x 2) (*.f64 (*.f64 1/24 eps) (pow.f64 x 4)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 -1/2 eps) (pow.f64 x 2) (*.f64 (*.f64 1/24 eps) (pow.f64 x 4)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 -1/2 eps) (pow.f64 x 2) (*.f64 (*.f64 1/24 eps) (pow.f64 x 4)))))
(fma.f64 (*.f64 eps (pow.f64 x 2)) -1/2 (*.f64 (*.f64 1/24 eps) (pow.f64 x 4)))
(fma.f64 -1/2 (*.f64 eps (pow.f64 x 2)) (*.f64 (*.f64 1/24 eps) (pow.f64 x 4)))
(fma.f64 1/24 (*.f64 eps (pow.f64 x 4)) (*.f64 (*.f64 eps (pow.f64 x 2)) -1/2))
(fma.f64 (*.f64 eps (pow.f64 x 4)) 1/24 (*.f64 (*.f64 eps (pow.f64 x 2)) -1/2))
(fma.f64 1 (*.f64 (*.f64 eps (pow.f64 x 2)) -1/2) (*.f64 (*.f64 1/24 eps) (pow.f64 x 4)))
(fma.f64 1 (*.f64 (*.f64 1/24 eps) (pow.f64 x 4)) (*.f64 (*.f64 eps (pow.f64 x 2)) -1/2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 1/24 eps) (pow.f64 x 4))) 2) (cbrt.f64 (*.f64 (*.f64 1/24 eps) (pow.f64 x 4))) (*.f64 (*.f64 eps (pow.f64 x 2)) -1/2))
(fma.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 4)) 1/4)) (cbrt.f64 (*.f64 (*.f64 eps (pow.f64 x 2)) -1/2)) (*.f64 (*.f64 1/24 eps) (pow.f64 x 4)))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 1/24 eps)) (pow.f64 x 2)) (*.f64 (sqrt.f64 (*.f64 1/24 eps)) (pow.f64 x 2)) (*.f64 (*.f64 eps (pow.f64 x 2)) -1/2))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 -1/2 eps)) x) (*.f64 (sqrt.f64 (*.f64 -1/2 eps)) x) (*.f64 (*.f64 1/24 eps) (pow.f64 x 4)))
(fma.f64 (*.f64 1/24 eps) (pow.f64 x 4) (*.f64 (*.f64 eps (pow.f64 x 2)) -1/2))
(fma.f64 (*.f64 -1/2 eps) (pow.f64 x 2) (*.f64 (*.f64 1/24 eps) (pow.f64 x 4)))
(+.f64 eps 0)
(+.f64 eps (fma.f64 (neg.f64 x) -2 0))
(+.f64 eps (fma.f64 2 x 0))
(+.f64 eps (fma.f64 0 1 0))
(+.f64 eps (fma.f64 (neg.f64 x) 2 0))
(+.f64 0 eps)
(+.f64 (+.f64 eps x) x)
(-.f64 eps 0)
(-.f64 eps (/.f64 0 eps))
(-.f64 eps (/.f64 0 (pow.f64 eps 2)))
(-.f64 (exp.f64 (log1p.f64 eps)) 1)
(*.f64 (pow.f64 eps 2) (/.f64 1 eps))
(*.f64 (sqrt.f64 eps) (sqrt.f64 eps))
(*.f64 1 eps)
(*.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 eps))
(*.f64 (pow.f64 eps 3) (/.f64 1 (pow.f64 eps 2)))
(*.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 (pow.f64 eps 2) eps)
(/.f64 1 (/.f64 eps (pow.f64 eps 2)))
(/.f64 1 (/.f64 (pow.f64 eps 2) (pow.f64 eps 3)))
(/.f64 (pow.f64 eps 3) (pow.f64 eps 2))
(/.f64 (+.f64 (*.f64 (pow.f64 eps 3) (fma.f64 x x 0)) (*.f64 (pow.f64 eps 2) (*.f64 (fma.f64 x x 0) 0))) (*.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 (fma.f64 x x 0) 0))) (*.f64 eps (fma.f64 x x 0)))
(/.f64 (+.f64 (*.f64 (pow.f64 eps 2) 0) 0) 0)
(/.f64 (+.f64 (*.f64 (*.f64 (fma.f64 x x 0) 0) (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 (fma.f64 x x 0) 0) 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 (*.f64 0 eps) (*.f64 0 (pow.f64 eps 2))) (*.f64 0 eps))
(/.f64 (-.f64 (*.f64 (pow.f64 eps 3) (fma.f64 x x 0)) (*.f64 (pow.f64 eps 2) (*.f64 (fma.f64 x x 0) 0))) (*.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 (fma.f64 x x 0) 0))) (*.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 (neg.f64 (pow.f64 eps 2)) (neg.f64 eps))
(/.f64 (+.f64 0 (pow.f64 eps 3)) (+.f64 0 (-.f64 (pow.f64 eps 2) (*.f64 0 eps))))
(/.f64 (+.f64 (pow.f64 (+.f64 eps x) 3) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) (-.f64 (pow.f64 x 2) (*.f64 (+.f64 eps x) x))))
(/.f64 (-.f64 0 (pow.f64 eps 2)) (-.f64 0 eps))
(/.f64 (-.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) (pow.f64 x 2)) (-.f64 (+.f64 eps x) x))
(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))
(fma.f64 2 x eps)
(fma.f64 0 0 eps)
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) 0)
(fma.f64 1 eps 0)
(fma.f64 1 0 eps)
(fma.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 eps) 0)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps))))) 1)
(/.f64 (+.f64 (sin.f64 (+.f64 (*.f64 1/2 eps) (*.f64 -1/2 eps))) (sin.f64 (fma.f64 1/2 eps (*.f64 1/2 eps)))) 2)
(/.f64 1 (/.f64 2 (+.f64 (sin.f64 (+.f64 (*.f64 1/2 eps) (*.f64 -1/2 eps))) (sin.f64 (fma.f64 1/2 eps (*.f64 1/2 eps))))))
(/.f64 (neg.f64 (+.f64 (sin.f64 (+.f64 (*.f64 1/2 eps) (*.f64 -1/2 eps))) (sin.f64 (fma.f64 1/2 eps (*.f64 1/2 eps))))) -2)
(pow.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps))) 1)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps)))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps)))) 2)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps))) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 eps))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps))) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 3) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 eps)) 3) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps)))))
(exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps)))))
Outputs
(*.f64 1/2 (*.f64 eps (cos.f64 x)))
(*.f64 (*.f64 1/2 eps) (cos.f64 x))
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 1/2 (*.f64 eps (cos.f64 x))))
(*.f64 (*.f64 1/2 eps) (cos.f64 x))
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (*.f64 1/2 (*.f64 eps (cos.f64 x))) (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/16 (cos.f64 x)) (*.f64 -1/48 (cos.f64 x))))))
(*.f64 (*.f64 1/2 eps) (cos.f64 x))
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (*.f64 1/48 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 1/2 (*.f64 eps (cos.f64 x))) (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/16 (cos.f64 x)) (*.f64 -1/48 (cos.f64 x)))))))
(*.f64 (*.f64 1/2 eps) (cos.f64 x))
(*.f64 (cos.f64 (*.f64 -1/2 (+.f64 (*.f64 -2 x) (*.f64 -1 eps)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (*.f64 1/2 eps) (cos.f64 x))
(*.f64 (cos.f64 (*.f64 -1/2 (+.f64 (*.f64 -2 x) (*.f64 -1 eps)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (*.f64 1/2 eps) (cos.f64 x))
(*.f64 (cos.f64 (*.f64 -1/2 (+.f64 (*.f64 -2 x) (*.f64 -1 eps)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (*.f64 1/2 eps) (cos.f64 x))
(*.f64 (cos.f64 (*.f64 -1/2 (+.f64 (*.f64 -2 x) (*.f64 -1 eps)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (*.f64 1/2 eps) (cos.f64 x))
(*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (*.f64 1/2 eps) (cos.f64 x))
(+.f64 (*.f64 -1 (*.f64 x (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))
(*.f64 (*.f64 1/2 eps) (cos.f64 x))
(+.f64 (*.f64 -1 (*.f64 x (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))))
(*.f64 (*.f64 1/2 eps) (cos.f64 x))
(+.f64 (*.f64 -1 (*.f64 x (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))))
(*.f64 (*.f64 1/2 eps) (cos.f64 x))
(*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (*.f64 1/2 eps) (cos.f64 x))
(*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (*.f64 1/2 eps) (cos.f64 x))
(*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (*.f64 1/2 eps) (cos.f64 x))
(*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (*.f64 1/2 eps) (cos.f64 x))
(*.f64 eps (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 (*.f64 1/2 eps) (cos.f64 x))
(*.f64 eps (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 (*.f64 1/2 eps) (cos.f64 x))
(*.f64 eps (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 (*.f64 1/2 eps) (cos.f64 x))
(*.f64 eps (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 (*.f64 1/2 eps) (cos.f64 x))
(*.f64 eps (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 (*.f64 1/2 eps) (cos.f64 x))
(*.f64 eps (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 (*.f64 1/2 eps) (cos.f64 x))
(*.f64 eps (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 (*.f64 1/2 eps) (cos.f64 x))
(*.f64 eps (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 (*.f64 1/2 eps) (cos.f64 x))
(*.f64 -1 (*.f64 eps (-.f64 (*.f64 1/2 (pow.f64 x 2)) 1)))
(*.f64 (*.f64 1/2 eps) (cos.f64 x))
(*.f64 -1 (*.f64 eps (-.f64 (*.f64 1/2 (pow.f64 x 2)) 1)))
(*.f64 (*.f64 1/2 eps) (cos.f64 x))
(*.f64 -1 (*.f64 eps (-.f64 (*.f64 1/2 (pow.f64 x 2)) 1)))
(*.f64 (*.f64 1/2 eps) (cos.f64 x))
(*.f64 -1 (*.f64 eps (-.f64 (*.f64 1/2 (pow.f64 x 2)) 1)))
(*.f64 (*.f64 1/2 eps) (cos.f64 x))
eps
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(fma.f64 0 0 eps)
(*.f64 (*.f64 1/2 eps) (cos.f64 x))
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) 0)
(*.f64 (*.f64 1/2 eps) (cos.f64 x))
(fma.f64 1 eps 0)
(*.f64 (*.f64 1/2 eps) (cos.f64 x))
(fma.f64 1 0 eps)
(*.f64 (*.f64 1/2 eps) (cos.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 eps) 0)
(*.f64 (*.f64 1/2 eps) (cos.f64 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps))))) 1)
(*.f64 (*.f64 1/2 eps) (cos.f64 x))
(/.f64 (+.f64 (sin.f64 (+.f64 (*.f64 1/2 eps) (*.f64 -1/2 eps))) (sin.f64 (fma.f64 1/2 eps (*.f64 1/2 eps)))) 2)
(*.f64 (*.f64 1/2 eps) (cos.f64 x))
(/.f64 1 (/.f64 2 (+.f64 (sin.f64 (+.f64 (*.f64 1/2 eps) (*.f64 -1/2 eps))) (sin.f64 (fma.f64 1/2 eps (*.f64 1/2 eps))))))
(*.f64 (*.f64 1/2 eps) (cos.f64 x))
(/.f64 (neg.f64 (+.f64 (sin.f64 (+.f64 (*.f64 1/2 eps) (*.f64 -1/2 eps))) (sin.f64 (fma.f64 1/2 eps (*.f64 1/2 eps))))) -2)
(*.f64 (*.f64 1/2 eps) (cos.f64 x))
(pow.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps))) 1)
(*.f64 (*.f64 1/2 eps) (cos.f64 x))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps)))) 3)
(*.f64 (*.f64 1/2 eps) (cos.f64 x))
(pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps))) 3) 1/3)
(*.f64 (*.f64 1/2 eps) (cos.f64 x))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps)))) 2)
(*.f64 (*.f64 1/2 eps) (cos.f64 x))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps))) 2))
(*.f64 (*.f64 1/2 eps) (cos.f64 x))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 (*.f64 1/2 eps) (cos.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps))))))
(*.f64 (*.f64 1/2 eps) (cos.f64 x))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps))) 3))
(*.f64 (*.f64 1/2 eps) (cos.f64 x))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 3) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 3)))
(*.f64 (*.f64 1/2 eps) (cos.f64 x))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 eps)) 3) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 3)))
(*.f64 (*.f64 1/2 eps) (cos.f64 x))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps)))))
(*.f64 (*.f64 1/2 eps) (cos.f64 x))
(exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps)))))
(*.f64 (*.f64 1/2 eps) (cos.f64 x))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps)))) 1))
(*.f64 (*.f64 1/2 eps) (cos.f64 x))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps)))))
(*.f64 (*.f64 1/2 eps) (cos.f64 x))

eval125.0ms (1%)

Compiler

Compiled 6419 to 4444 computations (30.8% saved)

prune52.0ms (0.4%)

Pruning

11 alts after pruning (4 fresh and 7 done)

PrunedKeptTotal
New3172319
Fresh022
Picked235
Done044
Total31911330
Accuracy
100.0%
Counts
330 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.0%
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 1/2 eps))))) 2)
✓49.8%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
✓99.9%
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 eps (cos.f64 x)))
✓99.6%
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (*.f64 eps (cos.f64 x)))
▶98.7%
(+.f64 eps (*.f64 eps (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4)))))
✓98.5%
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
▶54.9%
(*.f64 (*.f64 (sin.f64 (*.f64 (*.f64 (pow.f64 eps 2) (/.f64 1 eps)) 1/2)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) 2)
✓100.0%
(*.f64 (*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))) 2)
✓99.5%
(*.f64 eps (cos.f64 x))
✓97.9%
(sin.f64 eps)
97.9%
eps
▶98.0%
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 1/2 eps))))) 2)
✓49.8%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
✓99.9%
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 eps (cos.f64 x)))
✓99.6%
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (*.f64 eps (cos.f64 x)))
▶98.7%
(+.f64 eps (*.f64 eps (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4)))))
✓98.5%
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
▶54.9%
(*.f64 (*.f64 (sin.f64 (*.f64 (*.f64 (pow.f64 eps 2) (/.f64 1 eps)) 1/2)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) 2)
✓100.0%
(*.f64 (*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))) 2)
✓99.5%
(*.f64 eps (cos.f64 x))
✓97.9%
(sin.f64 eps)
97.9%
eps
Compiler

Compiled 276 to 210 computations (23.9% saved)

localize320.0ms (2.7%)

Localize:

Found 8 expressions with local error:

NewAccuracyProgram
✓100.0%
(*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 1/2 eps))))
✓100.0%
(sqrt.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 1/2 eps)))))
✓99.2%
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 1/2 eps))))) 2)
✓100.0%
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4)))
✓99.8%
(*.f64 1/24 (pow.f64 x 4))
✓99.8%
(*.f64 eps (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))))
✓100.0%
(*.f64 (sin.f64 (*.f64 (*.f64 (pow.f64 eps 2) (/.f64 1 eps)) 1/2)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)))
✓54.9%
(*.f64 (pow.f64 eps 2) (/.f64 1 eps))
Compiler

Compiled 244 to 169 computations (30.7% saved)

series19.0ms (0.2%)

Counts
8 → 115
Calls

39 calls:

TimeVariablePointExpression
4.0ms
eps
@inf
(sqrt.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 1/2 eps)))))
2.0ms
x
@0
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 1/2 eps))))) 2)
2.0ms
eps
@0
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 1/2 eps))))) 2)
1.0ms
x
@-inf
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 1/2 eps))))) 2)
1.0ms
x
@inf
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 1/2 eps))))) 2)

rewrite144.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
766×expm1-udef
500×associate-*r*
348×associate-*l*
248×log1p-expm1-u
248×expm1-log1p-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
040323
1619293
27697293
Stop Event
1×node limit
Counts
8 → 211
Calls
Call 1
Inputs
(*.f64 (pow.f64 eps 2) (/.f64 1 eps))
(*.f64 (sin.f64 (*.f64 (*.f64 (pow.f64 eps 2) (/.f64 1 eps)) 1/2)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)))
(*.f64 eps (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))))
(*.f64 1/24 (pow.f64 x 4))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4)))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 1/2 eps))))) 2)
(sqrt.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 1/2 eps)))))
(*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 1/2 eps))))
Outputs
(-.f64 (exp.f64 (log1p.f64 eps)) 1)
(/.f64 eps 1)
(/.f64 eps (/.f64 eps eps))
(/.f64 (pow.f64 eps 2) eps)
(/.f64 1 (/.f64 1 eps))
(/.f64 1 (/.f64 eps (pow.f64 eps 2)))
(/.f64 (pow.f64 (cbrt.f64 eps) 2) (/.f64 1 (cbrt.f64 eps)))
(/.f64 (cbrt.f64 (pow.f64 eps 4)) (/.f64 eps (pow.f64 (cbrt.f64 eps) 2)))
(/.f64 (sqrt.f64 eps) (pow.f64 eps -1/2))
(/.f64 (neg.f64 eps) -1)
(/.f64 (neg.f64 (pow.f64 eps 2)) (neg.f64 eps))
(/.f64 (/.f64 (pow.f64 eps 2) (sqrt.f64 eps)) (sqrt.f64 eps))
(/.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) -1) (neg.f64 eps))
(/.f64 (*.f64 -1 (pow.f64 eps 2)) (neg.f64 eps))
(pow.f64 eps 1)
(pow.f64 (pow.f64 eps 2) 1/2)
(pow.f64 (cbrt.f64 eps) 3)
(pow.f64 (pow.f64 eps 3) 1/3)
(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)))
(cbrt.f64 (pow.f64 eps 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 eps 2) 3) (pow.f64 (/.f64 1 eps) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 eps) 3) (pow.f64 (pow.f64 eps 2) 3)))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 eps 2) 3) (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 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2))))) 1)
(/.f64 1 (/.f64 2 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (sin.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))))))
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (sin.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps))))) 2)
(/.f64 (neg.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (sin.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))))) -2)
(pow.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2))) 1)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2)))) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2)))) 2)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2))) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 eps 1/2))) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2))) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3) (pow.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3) (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2)))))
(exp.f64 (log.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2)))))
(+.f64 (*.f64 eps (*.f64 -1/2 (pow.f64 x 2))) (*.f64 eps (*.f64 1/24 (pow.f64 x 4))))
(+.f64 (*.f64 eps (*.f64 1/24 (pow.f64 x 4))) (*.f64 eps (*.f64 -1/2 (pow.f64 x 2))))
(+.f64 (*.f64 (*.f64 eps (*.f64 -1/2 (pow.f64 x 2))) 1) (*.f64 (*.f64 eps (*.f64 1/24 (pow.f64 x 4))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 -1/2 (pow.f64 x 2) (*.f64 1/24 (pow.f64 x 4)))))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 eps (*.f64 -1/2 (pow.f64 x 2))) 3) (pow.f64 (*.f64 eps (*.f64 1/24 (pow.f64 x 4))) 3)) (+.f64 (*.f64 (*.f64 eps (*.f64 -1/2 (pow.f64 x 2))) (*.f64 eps (*.f64 -1/2 (pow.f64 x 2)))) (-.f64 (*.f64 (*.f64 eps (*.f64 1/24 (pow.f64 x 4))) (*.f64 eps (*.f64 1/24 (pow.f64 x 4)))) (*.f64 (*.f64 eps (*.f64 -1/2 (pow.f64 x 2))) (*.f64 eps (*.f64 1/24 (pow.f64 x 4)))))))
(/.f64 (-.f64 (*.f64 (*.f64 eps (*.f64 -1/2 (pow.f64 x 2))) (*.f64 eps (*.f64 -1/2 (pow.f64 x 2)))) (*.f64 (*.f64 eps (*.f64 1/24 (pow.f64 x 4))) (*.f64 eps (*.f64 1/24 (pow.f64 x 4))))) (-.f64 (*.f64 eps (*.f64 -1/2 (pow.f64 x 2))) (*.f64 eps (*.f64 1/24 (pow.f64 x 4)))))
(/.f64 (*.f64 eps (+.f64 (*.f64 (pow.f64 x 6) -1/8) (*.f64 (pow.f64 (pow.f64 x 4) 3) 1/13824))) (-.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/4) (*.f64 (pow.f64 x 8) 1/576)) (*.f64 -1/2 (*.f64 (pow.f64 x 2) (*.f64 1/24 (pow.f64 x 4))))))
(/.f64 (*.f64 eps (-.f64 (*.f64 (pow.f64 x 4) 1/4) (*.f64 (pow.f64 x 8) 1/576))) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 6) -1/8) (*.f64 (pow.f64 (pow.f64 x 4) 3) 1/13824)) eps) (-.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/4) (*.f64 (pow.f64 x 8) 1/576)) (*.f64 -1/2 (*.f64 (pow.f64 x 2) (*.f64 1/24 (pow.f64 x 4))))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/4) (*.f64 (pow.f64 x 8) 1/576)) eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))))
(pow.f64 (*.f64 eps (fma.f64 -1/2 (pow.f64 x 2) (*.f64 1/24 (pow.f64 x 4)))) 1)
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 -1/2 (pow.f64 x 2) (*.f64 1/24 (pow.f64 x 4))))) 3)
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 -1/2 (pow.f64 x 2) (*.f64 1/24 (pow.f64 x 4)))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 -1/2 (pow.f64 x 2) (*.f64 1/24 (pow.f64 x 4))))) 2)
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 -1/2 (pow.f64 x 2) (*.f64 1/24 (pow.f64 x 4)))) 2))
(log.f64 (pow.f64 (exp.f64 eps) (fma.f64 -1/2 (pow.f64 x 2) (*.f64 1/24 (pow.f64 x 4)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (fma.f64 -1/2 (pow.f64 x 2) (*.f64 1/24 (pow.f64 x 4)))))))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 -1/2 (pow.f64 x 2) (*.f64 1/24 (pow.f64 x 4)))) 3))
(cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) (*.f64 1/24 (pow.f64 x 4))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) (*.f64 1/24 (pow.f64 x 4))) 3) (pow.f64 eps 3)))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 -1/2 (pow.f64 x 2) (*.f64 1/24 (pow.f64 x 4))))))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 -1/2 (pow.f64 x 2) (*.f64 1/24 (pow.f64 x 4))))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (fma.f64 -1/2 (pow.f64 x 2) (*.f64 1/24 (pow.f64 x 4))))) 1))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 -1/2 (pow.f64 x 2) (*.f64 1/24 (pow.f64 x 4))))))
(fma.f64 eps (*.f64 -1/2 (pow.f64 x 2)) (*.f64 eps (*.f64 1/24 (pow.f64 x 4))))
(fma.f64 (*.f64 -1/2 (pow.f64 x 2)) eps (*.f64 eps (*.f64 1/24 (pow.f64 x 4))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/24 (pow.f64 x 4)))) 1)
(pow.f64 (*.f64 1/24 (pow.f64 x 4)) 1)
(pow.f64 (cbrt.f64 (*.f64 1/24 (pow.f64 x 4))) 3)
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 4) 3) 1/13824) 1/3)
(pow.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 1/24)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 8) 1/576))
(log.f64 (pow.f64 (exp.f64 1/24) (pow.f64 x 4)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/24 (pow.f64 x 4)))))
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(exp.f64 (log.f64 (sqrt.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2))))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2)))))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2)))))) 1)
(pow.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2)))) 1)
(pow.f64 (sqrt.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2))))) 2)
(pow.f64 (cbrt.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2))))) 3)
(pow.f64 (pow.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2)))) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2)))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2)))) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 2) (sin.f64 (*.f64 eps 1/2))) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2)))))))
(cbrt.f64 (pow.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3) (pow.f64 (*.f64 2 (sin.f64 (*.f64 eps 1/2))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 2 (sin.f64 (*.f64 eps 1/2))) 3) (pow.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3)))
(expm1.f64 (log1p.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2))))))
(exp.f64 (log.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2))))))
(exp.f64 (*.f64 (log.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2))))) 1))
(log1p.f64 (expm1.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2))))))

simplify240.0ms (2%)

Algorithm
1×egg-herbie
Rules
1322×associate-*r*
1220×associate-*l*
1138×log-prod
1134×fma-neg
660×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
058918596
1146816751
2659716749
Stop Event
1×node limit
Counts
326 → 342
Calls
Call 1
Inputs
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
(*.f64 1/2 (*.f64 eps (cos.f64 x)))
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 1/2 (*.f64 eps (cos.f64 x))))
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (*.f64 1/2 (*.f64 eps (cos.f64 x))) (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/16 (cos.f64 x)) (*.f64 -1/48 (cos.f64 x))))))
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (*.f64 1/48 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 1/2 (*.f64 eps (cos.f64 x))) (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/16 (cos.f64 x)) (*.f64 -1/48 (cos.f64 x)))))))
(*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))
(+.f64 (*.f64 -1 (*.f64 x (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))
(+.f64 (*.f64 -1 (*.f64 x (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))))
(+.f64 (*.f64 -1 (*.f64 x (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))))
(*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))) (*.f64 1/24 (*.f64 eps (pow.f64 x 4))))
(+.f64 (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))) (*.f64 1/24 (*.f64 eps (pow.f64 x 4))))
(+.f64 (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))) (*.f64 1/24 (*.f64 eps (pow.f64 x 4))))
(*.f64 1/24 (*.f64 eps (pow.f64 x 4)))
(+.f64 (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))) (*.f64 1/24 (*.f64 eps (pow.f64 x 4))))
(+.f64 (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))) (*.f64 1/24 (*.f64 eps (pow.f64 x 4))))
(+.f64 (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))) (*.f64 1/24 (*.f64 eps (pow.f64 x 4))))
(*.f64 1/24 (*.f64 eps (pow.f64 x 4)))
(+.f64 (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))) (*.f64 1/24 (*.f64 eps (pow.f64 x 4))))
(+.f64 (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))) (*.f64 1/24 (*.f64 eps (pow.f64 x 4))))
(+.f64 (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))) (*.f64 1/24 (*.f64 eps (pow.f64 x 4))))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 1/24 (pow.f64 x 4))
(*.f64 1/24 (pow.f64 x 4))
(*.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 (sqrt.f64 2) 2)))
(+.f64 (*.f64 -1 (*.f64 x (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (pow.f64 (sqrt.f64 2) 2)))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 (sqrt.f64 2) 2))))
(+.f64 (*.f64 -1 (*.f64 x (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (pow.f64 (sqrt.f64 2) 2)))) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 (sqrt.f64 2) 2))) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 3) (pow.f64 (sqrt.f64 2) 2)) (cos.f64 (*.f64 1/2 eps)))) (*.f64 (pow.f64 (sqrt.f64 2) 2) (-.f64 (*.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 3) (cos.f64 (*.f64 1/2 eps))))) 2)))))))
(+.f64 (*.f64 -1 (*.f64 x (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (pow.f64 (sqrt.f64 2) 2)))) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 (sqrt.f64 2) 2))) (+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 3) (pow.f64 (sqrt.f64 2) 2)) (cos.f64 (*.f64 1/2 eps)))) (*.f64 (pow.f64 (sqrt.f64 2) 2) (-.f64 (*.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 3) (cos.f64 (*.f64 1/2 eps))))) 2))))) (*.f64 (pow.f64 x 3) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (pow.f64 (sqrt.f64 2) 2) (-.f64 (*.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 3) (cos.f64 (*.f64 1/2 eps))))) 2)))) (cos.f64 (*.f64 1/2 eps)))) (*.f64 (pow.f64 (sqrt.f64 2) 2) (-.f64 (*.f64 1/6 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (-.f64 (*.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 3) (cos.f64 (*.f64 1/2 eps))))) 2))) (cos.f64 (*.f64 1/2 eps)))))))))))
(*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 (sqrt.f64 2) 2)))
(*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 (sqrt.f64 2) 2)))
(*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 (sqrt.f64 2) 2)))
(*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 (sqrt.f64 2) 2)))
(*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 (sqrt.f64 2) 2)))
(*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 (sqrt.f64 2) 2)))
(*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 (sqrt.f64 2) 2)))
(*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 (sqrt.f64 2) 2)))
(*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 (sqrt.f64 2) 2)))
(*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 (sqrt.f64 2) 2)))
(*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 (sqrt.f64 2) 2)))
(*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 (sqrt.f64 2) 2)))
(*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 (sqrt.f64 2) 2)))
(*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 (sqrt.f64 2) 2)))
(*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 (sqrt.f64 2) 2)))
(*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 (sqrt.f64 2) 2)))
(*.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))) (sqrt.f64 2))
(+.f64 (*.f64 -1/2 (*.f64 (*.f64 x (sqrt.f64 2)) (sqrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 3) (cos.f64 (*.f64 1/2 eps)))))) (*.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))) (sqrt.f64 2)))
(+.f64 (*.f64 -1/2 (*.f64 (*.f64 x (sqrt.f64 2)) (sqrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 3) (cos.f64 (*.f64 1/2 eps)))))) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (pow.f64 x 2) (*.f64 (sqrt.f64 2) (-.f64 (*.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 3) (cos.f64 (*.f64 1/2 eps))))) 2)))) (sqrt.f64 (/.f64 1 (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))))) (*.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))) (sqrt.f64 2))))
(+.f64 (*.f64 -1/2 (*.f64 (*.f64 x (sqrt.f64 2)) (sqrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 3) (cos.f64 (*.f64 1/2 eps)))))) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (pow.f64 x 2) (*.f64 (sqrt.f64 2) (-.f64 (*.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 3) (cos.f64 (*.f64 1/2 eps))))) 2)))) (sqrt.f64 (/.f64 1 (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))))) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (pow.f64 x 3) (*.f64 (sqrt.f64 2) (-.f64 (*.f64 1/6 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (-.f64 (*.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 3) (cos.f64 (*.f64 1/2 eps))))) 2))) (cos.f64 (*.f64 1/2 eps))))))) (sqrt.f64 (/.f64 1 (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))))) (*.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))) (sqrt.f64 2)))))
(*.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 eps)))) (sqrt.f64 2))
(*.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 eps)))) (sqrt.f64 2))
(*.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 eps)))) (sqrt.f64 2))
(*.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 eps)))) (sqrt.f64 2))
(*.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 eps)))) (sqrt.f64 2))
(*.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 eps)))) (sqrt.f64 2))
(*.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 eps)))) (sqrt.f64 2))
(*.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 eps)))) (sqrt.f64 2))
(*.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 eps)))) (sqrt.f64 2))
(*.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 eps)))) (sqrt.f64 2))
(*.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 eps)))) (sqrt.f64 2))
(*.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 eps)))) (sqrt.f64 2))
(*.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 eps)))) (sqrt.f64 2))
(*.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 eps)))) (sqrt.f64 2))
(*.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 eps)))) (sqrt.f64 2))
(*.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 eps)))) (sqrt.f64 2))
(*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))
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(fma.f64 (pow.f64 x 4) 1/24 (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (*.f64 -1/2 (pow.f64 x 2))) (*.f64 1/24 (pow.f64 x 4)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 1/576)) (cbrt.f64 (*.f64 1/24 (pow.f64 x 4))) (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 (*.f64 x (sqrt.f64 -1/2)) (*.f64 x (sqrt.f64 -1/2)) (*.f64 1/24 (pow.f64 x 4)))
(fma.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 1/24)) (*.f64 (pow.f64 x 2) (sqrt.f64 1/24)) (*.f64 -1/2 (pow.f64 x 2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2)))))) 1)
(*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2))))
(*.f64 1 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2)))))
(*.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2))) 2)
(*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 eps 1/2))))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 2 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(*.f64 (*.f64 2 (sin.f64 (*.f64 eps 1/2))) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2)))) 1)
(*.f64 (sqrt.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2))))) (sqrt.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2))))))
(*.f64 (cbrt.f64 (*.f64 4 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2))) (*.f64 (cbrt.f64 (*.f64 2 (sin.f64 (*.f64 eps 1/2)))) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(*.f64 (cbrt.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2))))) (pow.f64 (cbrt.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2))))) 2))
(*.f64 (cbrt.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2))))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2)))))) (sqrt.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2)))))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2))))) 2) (cbrt.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2))))))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 2) (*.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))) (*.f64 2 (sin.f64 (*.f64 eps 1/2)))))
(*.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))) (*.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))) (*.f64 2 (sin.f64 (*.f64 eps 1/2)))))
(*.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))) (*.f64 (sqrt.f64 (*.f64 2 (sin.f64 (*.f64 eps 1/2)))) (sqrt.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2)))))))
(*.f64 (sqrt.f64 (*.f64 2 (sin.f64 (*.f64 eps 1/2)))) (*.f64 (sqrt.f64 (*.f64 2 (sin.f64 (*.f64 eps 1/2)))) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(*.f64 (pow.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2)))) 1/4) (*.f64 (pow.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2)))) 1/4) (sqrt.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2)))))))
(*.f64 (*.f64 2 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))) (sin.f64 (*.f64 eps 1/2)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2))))) (pow.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2)))) 1/4)) (pow.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2)))) 1/4))
(*.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (cbrt.f64 (*.f64 4 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))) (cbrt.f64 (*.f64 2 (sin.f64 (*.f64 eps 1/2)))))
(*.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sqrt.f64 (*.f64 2 (sin.f64 (*.f64 eps 1/2))))) (sqrt.f64 (*.f64 2 (sin.f64 (*.f64 eps 1/2)))))
(*.f64 (*.f64 (*.f64 2 (sin.f64 (*.f64 eps 1/2))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 2)) (cbrt.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(*.f64 (*.f64 (*.f64 2 (sin.f64 (*.f64 eps 1/2))) (sqrt.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))) (sqrt.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2))))) (cbrt.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2)))))) (cbrt.f64 (sqrt.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2)))))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2))))) (sqrt.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))) (sqrt.f64 (*.f64 2 (sin.f64 (*.f64 eps 1/2)))))
(*.f64 (*.f64 (*.f64 2 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 1) (sin.f64 (*.f64 eps 1/2)))
(*.f64 (*.f64 (*.f64 2 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) 2)) (cbrt.f64 (sin.f64 (*.f64 eps 1/2))))
(*.f64 (*.f64 (*.f64 2 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))) (sqrt.f64 (sin.f64 (*.f64 eps 1/2)))) (sqrt.f64 (sin.f64 (*.f64 eps 1/2))))
(sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2)))) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 2) (sin.f64 (*.f64 eps 1/2))) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2)))))))
(cbrt.f64 (pow.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3) (pow.f64 (*.f64 2 (sin.f64 (*.f64 eps 1/2))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 2 (sin.f64 (*.f64 eps 1/2))) 3) (pow.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3)))
(expm1.f64 (log1p.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2))))))
(exp.f64 (log.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2))))))
(exp.f64 (*.f64 (log.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2))))) 1))
(log1p.f64 (expm1.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2))))))) 1)
(*.f64 1 (sqrt.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2))))))
(*.f64 (sqrt.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2))))) 1)
(*.f64 (cbrt.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2))))) (cbrt.f64 (sqrt.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2)))))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2)))))) (cbrt.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2))))))
(*.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))) (sqrt.f64 (*.f64 2 (sin.f64 (*.f64 eps 1/2)))))
(*.f64 (sqrt.f64 (*.f64 2 (sin.f64 (*.f64 eps 1/2)))) (sqrt.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(*.f64 (pow.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2)))) 1/4) (pow.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2)))) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2))))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2))))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2))))) 1/2))
(*.f64 (pow.f64 (*.f64 2 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 1/2) (sqrt.f64 (sin.f64 (*.f64 eps 1/2))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2))))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2)))))))
(*.f64 (sqrt.f64 (*.f64 2 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))) (sqrt.f64 (sin.f64 (*.f64 eps 1/2))))
(pow.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2)))) 1/2)
(pow.f64 (sqrt.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2))))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2)))))) 3)
(pow.f64 (pow.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2)))) 3/2) 1/3)
(pow.f64 (pow.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2)))) 1/4) 2)
(fabs.f64 (sqrt.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2))))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2)))))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2))))))))
(cbrt.f64 (pow.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2)))) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2)))))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2))))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2)))))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2)))))) 1)
(pow.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2)))) 1)
(pow.f64 (sqrt.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2))))) 2)
(pow.f64 (cbrt.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2))))) 3)
(pow.f64 (pow.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2)))) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2)))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2)))) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 2) (sin.f64 (*.f64 eps 1/2))) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2)))))))
(cbrt.f64 (pow.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3) (pow.f64 (*.f64 2 (sin.f64 (*.f64 eps 1/2))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 2 (sin.f64 (*.f64 eps 1/2))) 3) (pow.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3)))
(expm1.f64 (log1p.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2))))))
(exp.f64 (log.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2))))))
(exp.f64 (*.f64 (log.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2))))) 1))
(log1p.f64 (expm1.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2))))))
Outputs
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
(*.f64 1/2 (*.f64 eps (cos.f64 x)))
(*.f64 (*.f64 eps 1/2) (cos.f64 x))
(*.f64 eps (*.f64 (cos.f64 x) 1/2))
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 1/2 (*.f64 eps (cos.f64 x))))
(fma.f64 -1/4 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (*.f64 (*.f64 eps 1/2) (cos.f64 x)))
(fma.f64 1/2 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) (*.f64 -1/4 (pow.f64 eps 2))))
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (*.f64 1/2 (*.f64 eps (cos.f64 x))) (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/16 (cos.f64 x)) (*.f64 -1/48 (cos.f64 x))))))
(fma.f64 -1/4 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (fma.f64 1/2 (*.f64 eps (cos.f64 x)) (*.f64 (pow.f64 eps 3) (*.f64 (cos.f64 x) -1/12))))
(fma.f64 -1/4 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (fma.f64 1/2 (*.f64 eps (cos.f64 x)) (*.f64 (cos.f64 x) (*.f64 -1/12 (pow.f64 eps 3)))))
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (*.f64 1/48 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 1/2 (*.f64 eps (cos.f64 x))) (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/16 (cos.f64 x)) (*.f64 -1/48 (cos.f64 x)))))))
(fma.f64 -1/4 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (fma.f64 1/48 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 1/2 (*.f64 eps (cos.f64 x)) (*.f64 (pow.f64 eps 3) (*.f64 (cos.f64 x) -1/12)))))
(+.f64 (fma.f64 1/2 (*.f64 eps (cos.f64 x)) (*.f64 (cos.f64 x) (*.f64 -1/12 (pow.f64 eps 3)))) (*.f64 (sin.f64 x) (+.f64 (*.f64 -1/4 (pow.f64 eps 2)) (*.f64 1/48 (pow.f64 eps 4)))))
(*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 x 2 eps))))
(*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 x 2 eps))))
(*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 x 2 eps))))
(*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 x 2 eps))))
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(*.f64 (sqrt.f64 (*.f64 2 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))) (sqrt.f64 (sin.f64 (*.f64 eps 1/2))))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 eps 1/2))) (sqrt.f64 (*.f64 2 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 eps 1/2))) (sqrt.f64 (*.f64 2 (cos.f64 (*.f64 1/2 (fma.f64 x 2 eps))))))
(pow.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2)))) 1/2)
(sqrt.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(sqrt.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 x 2 eps))))))
(pow.f64 (sqrt.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2))))) 1)
(sqrt.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(sqrt.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 x 2 eps))))))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2)))))) 3)
(sqrt.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(sqrt.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 x 2 eps))))))
(pow.f64 (pow.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2)))) 3/2) 1/3)
(cbrt.f64 (pow.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 3/2))
(cbrt.f64 (pow.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 x 2 eps))))) 3/2))
(pow.f64 (pow.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2)))) 1/4) 2)
(sqrt.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(sqrt.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 x 2 eps))))))
(fabs.f64 (sqrt.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2))))))
(sqrt.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(sqrt.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 x 2 eps))))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2)))))))
(sqrt.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(sqrt.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 x 2 eps))))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2))))))))
(sqrt.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(sqrt.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 x 2 eps))))))
(cbrt.f64 (pow.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2)))) 3/2))
(cbrt.f64 (pow.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 3/2))
(cbrt.f64 (pow.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 x 2 eps))))) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2)))))))
(sqrt.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(sqrt.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 x 2 eps))))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2)))))))
(sqrt.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(sqrt.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 x 2 eps))))))
(exp.f64 (*.f64 (log.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2))))) 1/2))
(sqrt.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(sqrt.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 x 2 eps))))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2)))))) 1))
(sqrt.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(sqrt.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 x 2 eps))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2)))))))
(sqrt.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(sqrt.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 x 2 eps))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2)))))) 1)
(*.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (pow.f64 (sqrt.f64 2) 2)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))
(pow.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2)))) 1)
(*.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (pow.f64 (sqrt.f64 2) 2)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))
(pow.f64 (sqrt.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2))))) 2)
(*.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (pow.f64 (sqrt.f64 2) 2)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))
(pow.f64 (cbrt.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2))))) 3)
(*.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (pow.f64 (sqrt.f64 2) 2)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))
(pow.f64 (pow.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2)))) 2) 1/2)
(sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 2))
(fabs.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 x 2 eps))))))
(pow.f64 (pow.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2)))) 3) 1/3)
(*.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (pow.f64 (sqrt.f64 2) 2)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))
(sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2)))) 2))
(sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 2))
(fabs.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 x 2 eps))))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 2) (sin.f64 (*.f64 eps 1/2))) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (log.f64 (pow.f64 (exp.f64 2) (sin.f64 (*.f64 eps 1/2)))))
(*.f64 (cos.f64 (*.f64 1/2 (fma.f64 x 2 eps))) (*.f64 (sin.f64 (*.f64 eps 1/2)) (log.f64 (exp.f64 2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2)))))))
(*.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (pow.f64 (sqrt.f64 2) 2)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))
(cbrt.f64 (pow.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2)))) 3))
(*.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (pow.f64 (sqrt.f64 2) 2)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3) (pow.f64 (*.f64 2 (sin.f64 (*.f64 eps 1/2))) 3)))
(*.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (pow.f64 (sqrt.f64 2) 2)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 2 (sin.f64 (*.f64 eps 1/2))) 3) (pow.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3)))
(*.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (pow.f64 (sqrt.f64 2) 2)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))
(expm1.f64 (log1p.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2))))))
(*.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (pow.f64 (sqrt.f64 2) 2)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))
(exp.f64 (log.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2))))))
(*.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (pow.f64 (sqrt.f64 2) 2)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))
(exp.f64 (*.f64 (log.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2))))) 1))
(*.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (pow.f64 (sqrt.f64 2) 2)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))
(log1p.f64 (expm1.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2))))))
(*.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (pow.f64 (sqrt.f64 2) 2)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))

eval178.0ms (1.5%)

Compiler

Compiled 9030 to 7116 computations (21.2% saved)

prune56.0ms (0.5%)

Pruning

11 alts after pruning (2 fresh and 9 done)

PrunedKeptTotal
New3411342
Fresh011
Picked123
Done077
Total34211353
Accuracy
100.0%
Counts
353 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.0%
(pow.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 eps (cos.f64 x)))) 2)
✓49.8%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
✓99.9%
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 eps (cos.f64 x)))
✓99.6%
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (*.f64 eps (cos.f64 x)))
✓98.7%
(+.f64 eps (*.f64 eps (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4)))))
✓98.5%
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
✓54.9%
(*.f64 (*.f64 (sin.f64 (*.f64 (*.f64 (pow.f64 eps 2) (/.f64 1 eps)) 1/2)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) 2)
✓100.0%
(*.f64 (*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))) 2)
✓99.5%
(*.f64 eps (cos.f64 x))
✓97.9%
(sin.f64 eps)
97.9%
eps
Compiler

Compiled 341 to 240 computations (29.6% saved)

regimes30.0ms (0.2%)

Counts
16 → 1
Calls
Call 1
Inputs
eps
(sin.f64 eps)
(*.f64 eps (cos.f64 x))
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (*.f64 eps (cos.f64 x)))
(*.f64 (*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))) 2)
(+.f64 eps (*.f64 eps (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4)))))
(+.f64 eps (+.f64 (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))) (*.f64 1/24 (*.f64 eps (pow.f64 x 4)))))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) 2)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 eps (cos.f64 x)))
(*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 eps 1/2))))
(*.f64 (*.f64 (sin.f64 (*.f64 (*.f64 (pow.f64 eps 2) (/.f64 1 eps)) 1/2)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) 2)
(*.f64 (*.f64 (sin.f64 (*.f64 (pow.f64 (sqrt.f64 (-.f64 eps 0)) 2) 1/2)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) 2)
(pow.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 eps (cos.f64 x)))) 2)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 1/2 eps))))) 2)
Outputs
(*.f64 (*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))) 2)
Calls

3 calls:

10.0ms
eps
8.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
7.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1eps
100.0%1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 219 to 147 computations (32.9% saved)

regimes15.0ms (0.1%)

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

3 calls:

5.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
5.0ms
x
4.0ms
eps
Results
AccuracySegmentsBranch
99.6%1x
99.6%1eps
99.6%1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 52 to 31 computations (40.4% saved)

regimes13.0ms (0.1%)

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

3 calls:

4.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
4.0ms
x
4.0ms
eps
Results
AccuracySegmentsBranch
99.5%1x
99.5%1eps
99.5%1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 40 to 25 computations (37.5% saved)

regimes7.0ms (0.1%)

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

2 calls:

4.0ms
x
3.0ms
eps
Results
AccuracySegmentsBranch
97.9%1x
97.9%1eps
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes5.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

2 calls:

2.0ms
eps
2.0ms
x
Results
AccuracySegmentsBranch
97.9%1x
97.9%1eps
Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify5.0ms (0%)

Algorithm
1×egg-herbie
Rules
22×*-commutative
10×+-commutative
8×sub-neg
6×neg-mul-1
6×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027130
141130
253130
359130
463130
564130
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(*.f64 (*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))) 2)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (*.f64 eps (cos.f64 x)))
(*.f64 eps (cos.f64 x))
(sin.f64 eps)
eps
Outputs
(*.f64 (*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))) 2)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (*.f64 eps (cos.f64 x)))
(+.f64 (*.f64 -1/2 (*.f64 x (pow.f64 eps 2))) (*.f64 eps (cos.f64 x)))
(*.f64 eps (cos.f64 x))
(sin.f64 eps)
eps
Compiler

Compiled 44 to 33 computations (25% saved)

soundness167.0ms (1.4%)

Rules
1024×fma-def
980×log1p-expm1-u
980×expm1-log1p-u
802×log-prod
334×fma-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01247
116047
2245147
Stop Event
1×node limit
Compiler

Compiled 190 to 105 computations (44.7% saved)

end0.0ms (0%)

preprocess54.0ms (0.5%)

Compiler

Compiled 120 to 82 computations (31.7% saved)

Profiling

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