ENA, Section 1.4, Exercise 4b, n=2

Time bar (total: 2.7s)

analyze0.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%25.7%74.3%0%0%0%0
100%25.7%0%74.3%0%0%0%1
Compiler

Compiled 26 to 19 computations (26.9% saved)

sample1.6s (61.6%)

Results
874.0ms6044×body256valid
418.0ms1106×body1024valid
322.0ms1087×body512valid
11.0ms19×body2048valid
Bogosity

preprocess122.0ms (4.6%)

Algorithm
egg-herbie
Rules
1358×fma-def
852×unswap-sqr
758×distribute-lft-out
646×distribute-lft-neg-in
640×associate-*r*
Problems
188×No Errors
68×(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
023141
164125
2168125
371495
4408295
Stop Event
node limit
Calls
Call 1
Inputs
(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))
(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))
(-.f64 (pow.f64 (+.f64 (neg.f64 x) eps) 2) (pow.f64 (neg.f64 x) 2))
(-.f64 (pow.f64 (+.f64 x (neg.f64 eps)) 2) (pow.f64 x 2))
(-.f64 (pow.f64 (+.f64 eps x) 2) (pow.f64 eps 2))
Outputs
(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))
(-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))
(*.f64 eps (+.f64 x (+.f64 x eps)))
(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))
(-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))
(*.f64 eps (+.f64 x (+.f64 x eps)))
(-.f64 (pow.f64 (+.f64 (neg.f64 x) eps) 2) (pow.f64 (neg.f64 x) 2))
(-.f64 (pow.f64 (+.f64 eps (neg.f64 x)) 2) (pow.f64 (neg.f64 x) 2))
(-.f64 (pow.f64 (-.f64 eps x) 2) (*.f64 x x))
(*.f64 eps (+.f64 eps (*.f64 x -2)))
(-.f64 (pow.f64 (+.f64 x (neg.f64 eps)) 2) (pow.f64 x 2))
(-.f64 (pow.f64 (+.f64 eps (neg.f64 x)) 2) (pow.f64 (neg.f64 x) 2))
(-.f64 (pow.f64 (-.f64 eps x) 2) (*.f64 x x))
(*.f64 eps (+.f64 eps (*.f64 x -2)))
(-.f64 (pow.f64 (+.f64 eps x) 2) (pow.f64 eps 2))
(-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 eps eps))
(*.f64 x (+.f64 x (+.f64 eps eps)))
Compiler

Compiled 37 to 22 computations (40.5% saved)

eval1.0ms (0%)

Compiler

Compiled 18 to 9 computations (50% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 eps (+.f64 x (+.f64 x eps)))
100.0%
(*.f64 eps (+.f64 x (+.f64 x eps)))
Compiler

Compiled 18 to 10 computations (44.4% saved)

localize28.0ms (1%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
100.0%
(*.f64 eps (+.f64 x (+.f64 x eps)))
99.9%
(+.f64 x (+.f64 x eps))
Compiler

Compiled 20 to 6 computations (70% saved)

series3.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite80.0ms (3%)

Algorithm
batch-egg-rewrite
Rules
1186×unpow-prod-down
998×fma-def
854×log-prod
732×pow-prod-down
412×pow-exp
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0732
116532
2263824
Stop Event
node limit
Counts
2 → 145
Calls
Call 1
Inputs
(+.f64 x (+.f64 x eps))
(*.f64 eps (+.f64 x (+.f64 x eps)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 2 eps))) 1)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (+.f64 x eps))) (/.f64 (pow.f64 (+.f64 x eps) 2) (-.f64 x (+.f64 x eps))))
(*.f64 (fma.f64 x 2 eps) 1)
(*.f64 1 (fma.f64 x 2 eps))
(*.f64 (cbrt.f64 (fma.f64 x 2 eps)) (pow.f64 (cbrt.f64 (fma.f64 x 2 eps)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2 eps)) 2) (cbrt.f64 (fma.f64 x 2 eps)))
(*.f64 (sqrt.f64 (fma.f64 x 2 eps)) (sqrt.f64 (fma.f64 x 2 eps)))
(*.f64 (+.f64 (pow.f64 (+.f64 x eps) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 (+.f64 x eps) (-.f64 (+.f64 x eps) x) (*.f64 x x))))
(*.f64 (+.f64 (pow.f64 (+.f64 x eps) 3) (pow.f64 x 3)) (pow.f64 (/.f64 1 (fma.f64 (+.f64 x eps) (-.f64 (+.f64 x eps) x) (*.f64 x x))) 1))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x eps) 2)) (/.f64 1 (-.f64 x (+.f64 x eps))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x eps) 2)) (pow.f64 (/.f64 1 (-.f64 x (+.f64 x eps))) 1))
(*.f64 (pow.f64 1 1/3) (fma.f64 x 2 eps))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x 2 eps))) 2) 3) (cbrt.f64 (fma.f64 x 2 eps)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x 2 eps))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x 2 eps))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x 2 eps) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x 2 eps) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 x 2 eps) (cbrt.f64 (fma.f64 x 2 eps))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 x 2 eps))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x 2 eps) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 x 2 eps))))
(/.f64 1 (/.f64 (fma.f64 (+.f64 x eps) (-.f64 (+.f64 x eps) x) (*.f64 x x)) (+.f64 (pow.f64 (+.f64 x eps) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 x (+.f64 x eps)) (-.f64 (*.f64 x x) (pow.f64 (+.f64 x eps) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 x eps) 3) (pow.f64 x 3)) (fma.f64 (+.f64 x eps) (-.f64 (+.f64 x eps) x) (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 (+.f64 x eps) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (+.f64 x eps) 2) (-.f64 (*.f64 x x) (*.f64 x (+.f64 x eps)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x eps) 2)) (-.f64 x (+.f64 x eps)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x eps) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 (+.f64 x eps) (-.f64 (+.f64 x eps) x) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x eps) 2))) (neg.f64 (-.f64 x (+.f64 x eps))))
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) 8) (pow.f64 eps 3)) (+.f64 (pow.f64 (+.f64 x x) 2) (-.f64 (*.f64 eps eps) (*.f64 (+.f64 x x) eps))))
(/.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x)) (-.f64 (+.f64 x eps) x))
(/.f64 (-.f64 (pow.f64 (+.f64 x x) 2) (*.f64 eps eps)) (-.f64 (+.f64 x x) eps))
(pow.f64 (fma.f64 x 2 eps) 1)
(pow.f64 (cbrt.f64 (fma.f64 x 2 eps)) 3)
(pow.f64 (pow.f64 (fma.f64 x 2 eps) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x 2 eps) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x 2 eps)) 2)
(pow.f64 (/.f64 (fma.f64 (+.f64 x eps) (-.f64 (+.f64 x eps) x) (*.f64 x x)) (+.f64 (pow.f64 (+.f64 x eps) 3) (pow.f64 x 3))) -1)
(pow.f64 (/.f64 (-.f64 x (+.f64 x eps)) (-.f64 (*.f64 x x) (pow.f64 (+.f64 x eps) 2))) -1)
(sqrt.f64 (pow.f64 (fma.f64 x 2 eps) 2))
(log.f64 (exp.f64 (fma.f64 x 2 eps)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 2 eps))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (+.f64 x eps)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (+.f64 x eps))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (+.f64 x eps)))))
(log.f64 (*.f64 (exp.f64 eps) (exp.f64 (+.f64 x x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 eps)) (exp.f64 (+.f64 x x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 eps)) (pow.f64 (exp.f64 x) 2)))
(log.f64 (*.f64 (exp.f64 (+.f64 x eps)) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x eps))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x eps))) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (exp.f64 (+.f64 x x)) (+.f64 1 (expm1.f64 eps))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (expm1.f64 eps))))
(cbrt.f64 (pow.f64 (fma.f64 x 2 eps) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 2 eps)))
(exp.f64 (log.f64 (fma.f64 x 2 eps)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 2 eps)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x 2 eps)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x 2 eps))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x 2 eps))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x 2 eps))) 2))
(log1p.f64 (expm1.f64 (fma.f64 x 2 eps)))
(fma.f64 x 1 (+.f64 x eps))
(fma.f64 x 2 eps)
(fma.f64 eps 1 (+.f64 x x))
(fma.f64 (+.f64 x eps) 1 x)
(fma.f64 1 x (+.f64 x eps))
(fma.f64 1 eps (+.f64 x x))
(fma.f64 1 (+.f64 x eps) x)
(fma.f64 1 (+.f64 x x) eps)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (+.f64 x eps))
(fma.f64 (cbrt.f64 x) (+.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2)) eps)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 x eps))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (cbrt.f64 x) (cbrt.f64 x)) eps)
(fma.f64 (cbrt.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (+.f64 x eps)) 2) x)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x eps)) 2) (cbrt.f64 (+.f64 x eps)) x)
(fma.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) 2) (+.f64 x x))
(fma.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 eps) (+.f64 x x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 x eps))
(fma.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 x) (sqrt.f64 x)) eps)
(fma.f64 (sqrt.f64 (+.f64 x eps)) (sqrt.f64 (+.f64 x eps)) x)
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (+.f64 x x))
(fma.f64 (+.f64 (pow.f64 eps 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (*.f64 eps (-.f64 eps x)))) x)
(fma.f64 (-.f64 (*.f64 x x) (*.f64 eps eps)) (/.f64 1 (-.f64 x eps)) x)
(fma.f64 (+.f64 x x) 1 eps)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (cbrt.f64 (+.f64 x x)) eps)
(fma.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 (+.f64 x x)) eps)
(fma.f64 2 x eps)
(+.f64 (*.f64 x eps) (*.f64 eps (+.f64 x eps)))
(+.f64 (*.f64 eps (+.f64 x eps)) (*.f64 x eps))
(+.f64 0 (*.f64 eps (fma.f64 x 2 eps)))
(+.f64 (*.f64 (+.f64 x x) eps) (*.f64 eps eps))
(+.f64 (*.f64 eps (+.f64 x x)) (*.f64 eps eps))
(+.f64 (*.f64 (*.f64 x eps) 1) (*.f64 (*.f64 eps (+.f64 x eps)) 1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x 2 eps)) eps)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x 2 eps)) eps))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x 2 eps)) eps))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x 2 eps)) eps))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 x 2 eps)))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 x eps) 3) (pow.f64 (*.f64 eps (+.f64 x eps)) 3)) (+.f64 (pow.f64 (*.f64 x eps) 2) (-.f64 (pow.f64 (*.f64 eps (+.f64 x eps)) 2) (*.f64 (*.f64 x eps) (*.f64 eps (+.f64 x eps))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x eps) 2) (pow.f64 (*.f64 eps (+.f64 x eps)) 2)) (-.f64 (*.f64 x eps) (*.f64 eps (+.f64 x eps))))
(/.f64 (*.f64 eps (+.f64 (pow.f64 (+.f64 x eps) 3) (pow.f64 x 3))) (fma.f64 (+.f64 x eps) (-.f64 (+.f64 x eps) x) (*.f64 x x)))
(/.f64 (*.f64 eps (-.f64 (*.f64 x x) (pow.f64 (+.f64 x eps) 2))) (-.f64 x (+.f64 x eps)))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x eps) 3) (pow.f64 x 3)) eps) (fma.f64 (+.f64 x eps) (-.f64 (+.f64 x eps) x) (*.f64 x x)))
(/.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x eps) 2)) eps) (-.f64 x (+.f64 x eps)))
(pow.f64 (*.f64 eps (fma.f64 x 2 eps)) 1)
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 x 2 eps))) 3)
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 x 2 eps)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 x 2 eps)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 x 2 eps))) 2)
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 x 2 eps)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x 2 eps)) eps))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (fma.f64 x 2 eps)))))
(log.f64 (*.f64 (exp.f64 (*.f64 eps (+.f64 x eps))) (exp.f64 (*.f64 x eps))))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 x 2 eps)) 3))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 x 2 eps))))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 x 2 eps))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (fma.f64 x 2 eps))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 eps (fma.f64 x 2 eps))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 eps (fma.f64 x 2 eps)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 eps (fma.f64 x 2 eps)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 eps (fma.f64 x 2 eps)))) 2))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 x 2 eps))))
(fma.f64 x eps (*.f64 eps (+.f64 x eps)))
(fma.f64 eps x (*.f64 eps (+.f64 x eps)))
(fma.f64 eps (+.f64 x eps) (*.f64 x eps))
(fma.f64 eps (+.f64 x x) (*.f64 eps eps))
(fma.f64 (+.f64 x eps) eps (*.f64 x eps))
(fma.f64 1 (*.f64 x eps) (*.f64 eps (+.f64 x eps)))
(fma.f64 1 (*.f64 eps (+.f64 x eps)) (*.f64 x eps))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) eps) (*.f64 eps (+.f64 x eps)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x eps)) 2) (*.f64 (cbrt.f64 (+.f64 x eps)) eps) (*.f64 x eps))
(fma.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (+.f64 x eps)) (*.f64 x eps))
(fma.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) x) (*.f64 eps (+.f64 x eps)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) eps) (*.f64 eps (+.f64 x eps)))
(fma.f64 (sqrt.f64 (+.f64 x eps)) (*.f64 (sqrt.f64 (+.f64 x eps)) eps) (*.f64 x eps))
(fma.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (+.f64 x eps)) (*.f64 x eps))
(fma.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) x) (*.f64 eps (+.f64 x eps)))
(fma.f64 (*.f64 x eps) 1 (*.f64 (*.f64 eps (+.f64 x eps)) 1))
(fma.f64 (+.f64 x x) eps (*.f64 eps eps))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps (+.f64 x eps))) 2) (cbrt.f64 (*.f64 eps (+.f64 x eps))) (*.f64 x eps))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x eps)) 2) (cbrt.f64 (*.f64 x eps)) (*.f64 eps (+.f64 x eps)))
(fma.f64 (sqrt.f64 (*.f64 x eps)) (sqrt.f64 (*.f64 x eps)) (*.f64 eps (+.f64 x eps)))
(fma.f64 (sqrt.f64 (*.f64 eps (+.f64 x eps))) (sqrt.f64 (*.f64 eps (+.f64 x eps))) (*.f64 x eps))
(fma.f64 (*.f64 eps (pow.f64 (cbrt.f64 (+.f64 x eps)) 2)) (cbrt.f64 (+.f64 x eps)) (*.f64 x eps))
(fma.f64 (*.f64 eps (sqrt.f64 (+.f64 x eps))) (sqrt.f64 (+.f64 x eps)) (*.f64 x eps))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps) (*.f64 eps (+.f64 x eps)))
(fma.f64 (*.f64 x (sqrt.f64 eps)) (sqrt.f64 eps) (*.f64 eps (+.f64 x eps)))
(fma.f64 (*.f64 (+.f64 x eps) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps) (*.f64 x eps))
(fma.f64 (*.f64 (+.f64 x eps) (sqrt.f64 eps)) (sqrt.f64 eps) (*.f64 x eps))
(fma.f64 (*.f64 eps (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 eps (+.f64 x eps)))
(fma.f64 (*.f64 eps (sqrt.f64 x)) (sqrt.f64 x) (*.f64 eps (+.f64 x eps)))

simplify148.0ms (5.5%)

Algorithm
egg-herbie
Rules
1030×times-frac
938×log-prod
614×cancel-sign-sub-inv
456×associate-/l*
374×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03503895
18973167
224712957
377162957
Stop Event
node limit
Counts
193 → 187
Calls
Call 1
Inputs
eps
(+.f64 eps (*.f64 2 x))
(+.f64 eps (*.f64 2 x))
(+.f64 eps (*.f64 2 x))
(*.f64 2 x)
(+.f64 eps (*.f64 2 x))
(+.f64 eps (*.f64 2 x))
(+.f64 eps (*.f64 2 x))
(*.f64 2 x)
(+.f64 eps (*.f64 2 x))
(+.f64 eps (*.f64 2 x))
(+.f64 eps (*.f64 2 x))
(*.f64 2 x)
(+.f64 eps (*.f64 2 x))
(+.f64 eps (*.f64 2 x))
(+.f64 eps (*.f64 2 x))
eps
(+.f64 eps (*.f64 2 x))
(+.f64 eps (*.f64 2 x))
(+.f64 eps (*.f64 2 x))
eps
(+.f64 eps (*.f64 2 x))
(+.f64 eps (*.f64 2 x))
(+.f64 eps (*.f64 2 x))
(*.f64 2 (*.f64 eps x))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(pow.f64 eps 2)
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(pow.f64 eps 2)
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(pow.f64 eps 2)
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(*.f64 2 (*.f64 eps x))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(*.f64 2 (*.f64 eps x))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 2 eps))) 1)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (+.f64 x eps))) (/.f64 (pow.f64 (+.f64 x eps) 2) (-.f64 x (+.f64 x eps))))
(*.f64 (fma.f64 x 2 eps) 1)
(*.f64 1 (fma.f64 x 2 eps))
(*.f64 (cbrt.f64 (fma.f64 x 2 eps)) (pow.f64 (cbrt.f64 (fma.f64 x 2 eps)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2 eps)) 2) (cbrt.f64 (fma.f64 x 2 eps)))
(*.f64 (sqrt.f64 (fma.f64 x 2 eps)) (sqrt.f64 (fma.f64 x 2 eps)))
(*.f64 (+.f64 (pow.f64 (+.f64 x eps) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 (+.f64 x eps) (-.f64 (+.f64 x eps) x) (*.f64 x x))))
(*.f64 (+.f64 (pow.f64 (+.f64 x eps) 3) (pow.f64 x 3)) (pow.f64 (/.f64 1 (fma.f64 (+.f64 x eps) (-.f64 (+.f64 x eps) x) (*.f64 x x))) 1))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x eps) 2)) (/.f64 1 (-.f64 x (+.f64 x eps))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x eps) 2)) (pow.f64 (/.f64 1 (-.f64 x (+.f64 x eps))) 1))
(*.f64 (pow.f64 1 1/3) (fma.f64 x 2 eps))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x 2 eps))) 2) 3) (cbrt.f64 (fma.f64 x 2 eps)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x 2 eps))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x 2 eps))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x 2 eps) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x 2 eps) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 x 2 eps) (cbrt.f64 (fma.f64 x 2 eps))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 x 2 eps))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x 2 eps) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 x 2 eps))))
(/.f64 1 (/.f64 (fma.f64 (+.f64 x eps) (-.f64 (+.f64 x eps) x) (*.f64 x x)) (+.f64 (pow.f64 (+.f64 x eps) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 x (+.f64 x eps)) (-.f64 (*.f64 x x) (pow.f64 (+.f64 x eps) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 x eps) 3) (pow.f64 x 3)) (fma.f64 (+.f64 x eps) (-.f64 (+.f64 x eps) x) (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 (+.f64 x eps) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (+.f64 x eps) 2) (-.f64 (*.f64 x x) (*.f64 x (+.f64 x eps)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x eps) 2)) (-.f64 x (+.f64 x eps)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x eps) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 (+.f64 x eps) (-.f64 (+.f64 x eps) x) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x eps) 2))) (neg.f64 (-.f64 x (+.f64 x eps))))
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) 8) (pow.f64 eps 3)) (+.f64 (pow.f64 (+.f64 x x) 2) (-.f64 (*.f64 eps eps) (*.f64 (+.f64 x x) eps))))
(/.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x)) (-.f64 (+.f64 x eps) x))
(/.f64 (-.f64 (pow.f64 (+.f64 x x) 2) (*.f64 eps eps)) (-.f64 (+.f64 x x) eps))
(pow.f64 (fma.f64 x 2 eps) 1)
(pow.f64 (cbrt.f64 (fma.f64 x 2 eps)) 3)
(pow.f64 (pow.f64 (fma.f64 x 2 eps) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x 2 eps) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x 2 eps)) 2)
(pow.f64 (/.f64 (fma.f64 (+.f64 x eps) (-.f64 (+.f64 x eps) x) (*.f64 x x)) (+.f64 (pow.f64 (+.f64 x eps) 3) (pow.f64 x 3))) -1)
(pow.f64 (/.f64 (-.f64 x (+.f64 x eps)) (-.f64 (*.f64 x x) (pow.f64 (+.f64 x eps) 2))) -1)
(sqrt.f64 (pow.f64 (fma.f64 x 2 eps) 2))
(log.f64 (exp.f64 (fma.f64 x 2 eps)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 2 eps))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (+.f64 x eps)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (+.f64 x eps))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (+.f64 x eps)))))
(log.f64 (*.f64 (exp.f64 eps) (exp.f64 (+.f64 x x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 eps)) (exp.f64 (+.f64 x x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 eps)) (pow.f64 (exp.f64 x) 2)))
(log.f64 (*.f64 (exp.f64 (+.f64 x eps)) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x eps))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x eps))) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (exp.f64 (+.f64 x x)) (+.f64 1 (expm1.f64 eps))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (expm1.f64 eps))))
(cbrt.f64 (pow.f64 (fma.f64 x 2 eps) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 2 eps)))
(exp.f64 (log.f64 (fma.f64 x 2 eps)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 2 eps)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x 2 eps)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x 2 eps))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x 2 eps))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x 2 eps))) 2))
(log1p.f64 (expm1.f64 (fma.f64 x 2 eps)))
(fma.f64 x 1 (+.f64 x eps))
(fma.f64 x 2 eps)
(fma.f64 eps 1 (+.f64 x x))
(fma.f64 (+.f64 x eps) 1 x)
(fma.f64 1 x (+.f64 x eps))
(fma.f64 1 eps (+.f64 x x))
(fma.f64 1 (+.f64 x eps) x)
(fma.f64 1 (+.f64 x x) eps)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (+.f64 x eps))
(fma.f64 (cbrt.f64 x) (+.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2)) eps)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 x eps))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (cbrt.f64 x) (cbrt.f64 x)) eps)
(fma.f64 (cbrt.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (+.f64 x eps)) 2) x)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x eps)) 2) (cbrt.f64 (+.f64 x eps)) x)
(fma.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) 2) (+.f64 x x))
(fma.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 eps) (+.f64 x x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 x eps))
(fma.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 x) (sqrt.f64 x)) eps)
(fma.f64 (sqrt.f64 (+.f64 x eps)) (sqrt.f64 (+.f64 x eps)) x)
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (+.f64 x x))
(fma.f64 (+.f64 (pow.f64 eps 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (*.f64 eps (-.f64 eps x)))) x)
(fma.f64 (-.f64 (*.f64 x x) (*.f64 eps eps)) (/.f64 1 (-.f64 x eps)) x)
(fma.f64 (+.f64 x x) 1 eps)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (cbrt.f64 (+.f64 x x)) eps)
(fma.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 (+.f64 x x)) eps)
(fma.f64 2 x eps)
(+.f64 (*.f64 x eps) (*.f64 eps (+.f64 x eps)))
(+.f64 (*.f64 eps (+.f64 x eps)) (*.f64 x eps))
(+.f64 0 (*.f64 eps (fma.f64 x 2 eps)))
(+.f64 (*.f64 (+.f64 x x) eps) (*.f64 eps eps))
(+.f64 (*.f64 eps (+.f64 x x)) (*.f64 eps eps))
(+.f64 (*.f64 (*.f64 x eps) 1) (*.f64 (*.f64 eps (+.f64 x eps)) 1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x 2 eps)) eps)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x 2 eps)) eps))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x 2 eps)) eps))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x 2 eps)) eps))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 x 2 eps)))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 x eps) 3) (pow.f64 (*.f64 eps (+.f64 x eps)) 3)) (+.f64 (pow.f64 (*.f64 x eps) 2) (-.f64 (pow.f64 (*.f64 eps (+.f64 x eps)) 2) (*.f64 (*.f64 x eps) (*.f64 eps (+.f64 x eps))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x eps) 2) (pow.f64 (*.f64 eps (+.f64 x eps)) 2)) (-.f64 (*.f64 x eps) (*.f64 eps (+.f64 x eps))))
(/.f64 (*.f64 eps (+.f64 (pow.f64 (+.f64 x eps) 3) (pow.f64 x 3))) (fma.f64 (+.f64 x eps) (-.f64 (+.f64 x eps) x) (*.f64 x x)))
(/.f64 (*.f64 eps (-.f64 (*.f64 x x) (pow.f64 (+.f64 x eps) 2))) (-.f64 x (+.f64 x eps)))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x eps) 3) (pow.f64 x 3)) eps) (fma.f64 (+.f64 x eps) (-.f64 (+.f64 x eps) x) (*.f64 x x)))
(/.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x eps) 2)) eps) (-.f64 x (+.f64 x eps)))
(pow.f64 (*.f64 eps (fma.f64 x 2 eps)) 1)
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 x 2 eps))) 3)
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 x 2 eps)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 x 2 eps)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 x 2 eps))) 2)
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 x 2 eps)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x 2 eps)) eps))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (fma.f64 x 2 eps)))))
(log.f64 (*.f64 (exp.f64 (*.f64 eps (+.f64 x eps))) (exp.f64 (*.f64 x eps))))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 x 2 eps)) 3))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 x 2 eps))))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 x 2 eps))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (fma.f64 x 2 eps))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 eps (fma.f64 x 2 eps))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 eps (fma.f64 x 2 eps)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 eps (fma.f64 x 2 eps)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 eps (fma.f64 x 2 eps)))) 2))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 x 2 eps))))
(fma.f64 x eps (*.f64 eps (+.f64 x eps)))
(fma.f64 eps x (*.f64 eps (+.f64 x eps)))
(fma.f64 eps (+.f64 x eps) (*.f64 x eps))
(fma.f64 eps (+.f64 x x) (*.f64 eps eps))
(fma.f64 (+.f64 x eps) eps (*.f64 x eps))
(fma.f64 1 (*.f64 x eps) (*.f64 eps (+.f64 x eps)))
(fma.f64 1 (*.f64 eps (+.f64 x eps)) (*.f64 x eps))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) eps) (*.f64 eps (+.f64 x eps)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x eps)) 2) (*.f64 (cbrt.f64 (+.f64 x eps)) eps) (*.f64 x eps))
(fma.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (+.f64 x eps)) (*.f64 x eps))
(fma.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) x) (*.f64 eps (+.f64 x eps)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) eps) (*.f64 eps (+.f64 x eps)))
(fma.f64 (sqrt.f64 (+.f64 x eps)) (*.f64 (sqrt.f64 (+.f64 x eps)) eps) (*.f64 x eps))
(fma.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (+.f64 x eps)) (*.f64 x eps))
(fma.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) x) (*.f64 eps (+.f64 x eps)))
(fma.f64 (*.f64 x eps) 1 (*.f64 (*.f64 eps (+.f64 x eps)) 1))
(fma.f64 (+.f64 x x) eps (*.f64 eps eps))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps (+.f64 x eps))) 2) (cbrt.f64 (*.f64 eps (+.f64 x eps))) (*.f64 x eps))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x eps)) 2) (cbrt.f64 (*.f64 x eps)) (*.f64 eps (+.f64 x eps)))
(fma.f64 (sqrt.f64 (*.f64 x eps)) (sqrt.f64 (*.f64 x eps)) (*.f64 eps (+.f64 x eps)))
(fma.f64 (sqrt.f64 (*.f64 eps (+.f64 x eps))) (sqrt.f64 (*.f64 eps (+.f64 x eps))) (*.f64 x eps))
(fma.f64 (*.f64 eps (pow.f64 (cbrt.f64 (+.f64 x eps)) 2)) (cbrt.f64 (+.f64 x eps)) (*.f64 x eps))
(fma.f64 (*.f64 eps (sqrt.f64 (+.f64 x eps))) (sqrt.f64 (+.f64 x eps)) (*.f64 x eps))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps) (*.f64 eps (+.f64 x eps)))
(fma.f64 (*.f64 x (sqrt.f64 eps)) (sqrt.f64 eps) (*.f64 eps (+.f64 x eps)))
(fma.f64 (*.f64 (+.f64 x eps) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps) (*.f64 x eps))
(fma.f64 (*.f64 (+.f64 x eps) (sqrt.f64 eps)) (sqrt.f64 eps) (*.f64 x eps))
(fma.f64 (*.f64 eps (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 eps (+.f64 x eps)))
(fma.f64 (*.f64 eps (sqrt.f64 x)) (sqrt.f64 x) (*.f64 eps (+.f64 x eps)))
Outputs
eps
(+.f64 eps (*.f64 2 x))
(fma.f64 2 x eps)
(+.f64 eps (*.f64 2 x))
(fma.f64 2 x eps)
(+.f64 eps (*.f64 2 x))
(fma.f64 2 x eps)
(*.f64 2 x)
(+.f64 x x)
(+.f64 eps (*.f64 2 x))
(fma.f64 2 x eps)
(+.f64 eps (*.f64 2 x))
(fma.f64 2 x eps)
(+.f64 eps (*.f64 2 x))
(fma.f64 2 x eps)
(*.f64 2 x)
(+.f64 x x)
(+.f64 eps (*.f64 2 x))
(fma.f64 2 x eps)
(+.f64 eps (*.f64 2 x))
(fma.f64 2 x eps)
(+.f64 eps (*.f64 2 x))
(fma.f64 2 x eps)
(*.f64 2 x)
(+.f64 x x)
(+.f64 eps (*.f64 2 x))
(fma.f64 2 x eps)
(+.f64 eps (*.f64 2 x))
(fma.f64 2 x eps)
(+.f64 eps (*.f64 2 x))
(fma.f64 2 x eps)
eps
(+.f64 eps (*.f64 2 x))
(fma.f64 2 x eps)
(+.f64 eps (*.f64 2 x))
(fma.f64 2 x eps)
(+.f64 eps (*.f64 2 x))
(fma.f64 2 x eps)
eps
(+.f64 eps (*.f64 2 x))
(fma.f64 2 x eps)
(+.f64 eps (*.f64 2 x))
(fma.f64 2 x eps)
(+.f64 eps (*.f64 2 x))
(fma.f64 2 x eps)
(*.f64 2 (*.f64 eps x))
(*.f64 x (*.f64 eps 2))
(*.f64 x (+.f64 eps eps))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
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(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x 2 eps)) eps)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x 2 eps)) eps))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 2 x eps)) eps)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 2 x eps)) eps))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 2 x eps)) eps))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 2 x eps)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x 2 eps)) eps))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x 2 eps)) eps))))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 x 2 eps)))) 1)
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(/.f64 (+.f64 (pow.f64 (*.f64 x eps) 3) (pow.f64 (*.f64 eps (+.f64 x eps)) 3)) (+.f64 (pow.f64 (*.f64 x eps) 2) (-.f64 (pow.f64 (*.f64 eps (+.f64 x eps)) 2) (*.f64 (*.f64 x eps) (*.f64 eps (+.f64 x eps))))))
(/.f64 (+.f64 (pow.f64 (*.f64 eps x) 3) (pow.f64 (*.f64 eps (+.f64 eps x)) 3)) (-.f64 (+.f64 (pow.f64 (*.f64 eps x) 2) (pow.f64 (*.f64 eps (+.f64 eps x)) 2)) (*.f64 x (*.f64 eps (*.f64 eps (+.f64 eps x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 eps x) 3) (pow.f64 (*.f64 eps (+.f64 eps x)) 3)) (+.f64 (pow.f64 (*.f64 eps x) 2) (*.f64 (*.f64 eps (+.f64 eps x)) (-.f64 (*.f64 eps (+.f64 eps x)) (*.f64 eps x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 eps x) 3) (pow.f64 (*.f64 eps (+.f64 eps x)) 3)) (+.f64 (pow.f64 (*.f64 eps x) 2) (*.f64 (*.f64 (*.f64 eps eps) (+.f64 eps x)) eps)))
(/.f64 (-.f64 (pow.f64 (*.f64 x eps) 2) (pow.f64 (*.f64 eps (+.f64 x eps)) 2)) (-.f64 (*.f64 x eps) (*.f64 eps (+.f64 x eps))))
(/.f64 (-.f64 (pow.f64 (*.f64 eps x) 2) (pow.f64 (*.f64 eps (+.f64 eps x)) 2)) (-.f64 (*.f64 eps x) (*.f64 eps (+.f64 eps x))))
(/.f64 (*.f64 (*.f64 eps (fma.f64 2 x eps)) (*.f64 eps (neg.f64 eps))) (*.f64 eps (neg.f64 eps)))
(*.f64 (/.f64 (fma.f64 2 x eps) -1) (/.f64 (neg.f64 (*.f64 eps eps)) eps))
(/.f64 (*.f64 eps (+.f64 (pow.f64 (+.f64 x eps) 3) (pow.f64 x 3))) (fma.f64 (+.f64 x eps) (-.f64 (+.f64 x eps) x) (*.f64 x x)))
(/.f64 eps (/.f64 (fma.f64 (+.f64 eps x) (+.f64 x (-.f64 eps x)) (*.f64 x x)) (+.f64 (pow.f64 (+.f64 eps x) 3) (pow.f64 x 3))))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 eps x) 3) (pow.f64 x 3)) (fma.f64 (+.f64 eps x) (+.f64 eps 0) (*.f64 x x))) eps)
(*.f64 (/.f64 eps (fma.f64 x x (*.f64 eps (+.f64 eps x)))) (+.f64 (pow.f64 (+.f64 eps x) 3) (pow.f64 x 3)))
(/.f64 (*.f64 eps (-.f64 (*.f64 x x) (pow.f64 (+.f64 x eps) 2))) (-.f64 x (+.f64 x eps)))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x eps) 3) (pow.f64 x 3)) eps) (fma.f64 (+.f64 x eps) (-.f64 (+.f64 x eps) x) (*.f64 x x)))
(/.f64 eps (/.f64 (fma.f64 (+.f64 eps x) (+.f64 x (-.f64 eps x)) (*.f64 x x)) (+.f64 (pow.f64 (+.f64 eps x) 3) (pow.f64 x 3))))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 eps x) 3) (pow.f64 x 3)) (fma.f64 (+.f64 eps x) (+.f64 eps 0) (*.f64 x x))) eps)
(*.f64 (/.f64 eps (fma.f64 x x (*.f64 eps (+.f64 eps x)))) (+.f64 (pow.f64 (+.f64 eps x) 3) (pow.f64 x 3)))
(/.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x eps) 2)) eps) (-.f64 x (+.f64 x eps)))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 (*.f64 eps (fma.f64 x 2 eps)) 1)
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 x 2 eps))) 3)
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 x 2 eps)) 2) 1/2)
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 x 2 eps)) 3) 1/3)
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 x 2 eps))) 2)
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 x 2 eps)) 2))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x 2 eps)) eps))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (fma.f64 x 2 eps)))))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(log.f64 (*.f64 (exp.f64 (*.f64 eps (+.f64 x eps))) (exp.f64 (*.f64 x eps))))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 x 2 eps)) 3))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 x 2 eps))))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 x 2 eps))))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (fma.f64 x 2 eps))) 1))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 eps (fma.f64 x 2 eps))) 1) 1))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 eps (fma.f64 x 2 eps)))) 3))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 eps (fma.f64 x 2 eps)) 3)) 1/3))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 eps (fma.f64 x 2 eps)))) 2))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 x 2 eps))))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 x eps (*.f64 eps (+.f64 x eps)))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 eps x (*.f64 eps (+.f64 x eps)))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 eps (+.f64 x eps) (*.f64 x eps))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 eps (+.f64 x x) (*.f64 eps eps))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 (+.f64 x eps) eps (*.f64 x eps))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 1 (*.f64 x eps) (*.f64 eps (+.f64 x eps)))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 1 (*.f64 eps (+.f64 x eps)) (*.f64 x eps))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) eps) (*.f64 eps (+.f64 x eps)))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x eps)) 2) (*.f64 (cbrt.f64 (+.f64 x eps)) eps) (*.f64 x eps))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (+.f64 x eps)) (*.f64 x eps))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) x) (*.f64 eps (+.f64 x eps)))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) eps) (*.f64 eps (+.f64 x eps)))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 (sqrt.f64 (+.f64 x eps)) (*.f64 (sqrt.f64 (+.f64 x eps)) eps) (*.f64 x eps))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (+.f64 x eps)) (*.f64 x eps))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) x) (*.f64 eps (+.f64 x eps)))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 (*.f64 x eps) 1 (*.f64 (*.f64 eps (+.f64 x eps)) 1))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 (+.f64 x x) eps (*.f64 eps eps))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps (+.f64 x eps))) 2) (cbrt.f64 (*.f64 eps (+.f64 x eps))) (*.f64 x eps))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x eps)) 2) (cbrt.f64 (*.f64 x eps)) (*.f64 eps (+.f64 x eps)))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 (sqrt.f64 (*.f64 x eps)) (sqrt.f64 (*.f64 x eps)) (*.f64 eps (+.f64 x eps)))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 (sqrt.f64 (*.f64 eps (+.f64 x eps))) (sqrt.f64 (*.f64 eps (+.f64 x eps))) (*.f64 x eps))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 (*.f64 eps (pow.f64 (cbrt.f64 (+.f64 x eps)) 2)) (cbrt.f64 (+.f64 x eps)) (*.f64 x eps))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 (*.f64 eps (sqrt.f64 (+.f64 x eps))) (sqrt.f64 (+.f64 x eps)) (*.f64 x eps))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps) (*.f64 eps (+.f64 x eps)))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 (*.f64 x (sqrt.f64 eps)) (sqrt.f64 eps) (*.f64 eps (+.f64 x eps)))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 (*.f64 (+.f64 x eps) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps) (*.f64 x eps))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 (*.f64 (+.f64 x eps) (sqrt.f64 eps)) (sqrt.f64 eps) (*.f64 x eps))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 (*.f64 eps (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 eps (+.f64 x eps)))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 (*.f64 eps (sqrt.f64 x)) (sqrt.f64 x) (*.f64 eps (+.f64 x eps)))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))

eval49.0ms (1.9%)

Compiler

Compiled 2588 to 1159 computations (55.2% saved)

prune33.0ms (1.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1843187
Fresh000
Picked011
Done000
Total1844188
Accuracy
100.0%
Counts
188 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.2%
(*.f64 x (+.f64 eps eps))
100.0%
(*.f64 eps (+.f64 x (+.f64 x eps)))
100.0%
(*.f64 eps (+.f64 eps (*.f64 2 x)))
75.3%
(*.f64 eps eps)
62.2%
(*.f64 x (+.f64 eps eps))
100.0%
(*.f64 eps (+.f64 x (+.f64 x eps)))
100.0%
(*.f64 eps (+.f64 eps (*.f64 2 x)))
75.3%
(*.f64 eps eps)
Compiler

Compiled 60 to 36 computations (40% saved)

localize44.0ms (1.7%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
100.0%
(*.f64 eps (+.f64 eps (*.f64 2 x)))
Compiler

Compiled 35 to 16 computations (54.3% saved)

series1.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
eps
@0
(*.f64 eps (+.f64 eps (*.f64 2 x)))
0.0ms
x
@inf
(*.f64 eps (+.f64 eps (*.f64 2 x)))
0.0ms
eps
@inf
(*.f64 eps (+.f64 eps (*.f64 2 x)))
0.0ms
x
@-inf
(*.f64 eps (+.f64 eps (*.f64 2 x)))
0.0ms
eps
@-inf
(*.f64 eps (+.f64 eps (*.f64 2 x)))

rewrite64.0ms (2.4%)

Algorithm
batch-egg-rewrite
Rules
1832×pow1
1704×add-exp-log
1702×log1p-expm1-u
1702×expm1-log1p-u
1674×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0819
117315
2233215
Stop Event
node limit
Counts
1 → 23
Calls
Call 1
Inputs
(*.f64 eps (+.f64 eps (*.f64 2 x)))
Outputs
(+.f64 (*.f64 eps eps) (*.f64 (*.f64 eps 2) x))
(+.f64 (*.f64 (*.f64 eps 2) x) (*.f64 eps eps))
(+.f64 (*.f64 (*.f64 eps eps) 1) (*.f64 (*.f64 (*.f64 eps 2) x) 1))
(-.f64 (+.f64 1 (*.f64 eps (fma.f64 2 x eps))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 eps eps) 3) (pow.f64 (*.f64 (*.f64 eps 2) x) 3)) (+.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (-.f64 (*.f64 (*.f64 (*.f64 eps 2) x) (*.f64 (*.f64 eps 2) x)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps 2) x)))))
(/.f64 (-.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 (*.f64 (*.f64 eps 2) x) (*.f64 (*.f64 eps 2) x))) (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps 2) x)))
(/.f64 (*.f64 eps (+.f64 (*.f64 (pow.f64 x 3) 8) (pow.f64 eps 3))) (fma.f64 eps eps (*.f64 (*.f64 2 x) (-.f64 (*.f64 2 x) eps))))
(/.f64 (*.f64 eps (-.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) 4))) (+.f64 eps (*.f64 -2 x)))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 3) 8) (pow.f64 eps 3)) eps) (fma.f64 eps eps (*.f64 (*.f64 2 x) (-.f64 (*.f64 2 x) eps))))
(/.f64 (*.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) 4)) eps) (+.f64 eps (*.f64 -2 x)))
(pow.f64 (*.f64 eps (fma.f64 2 x eps)) 1)
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) 3)
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 2 x eps))) 2)
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 2))
(log.f64 (pow.f64 (exp.f64 eps) (fma.f64 2 x eps)))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3))
(cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (fma.f64 2 x eps) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 2 x eps) 3) (pow.f64 eps 3)))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 2 x eps))))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 2 x eps))))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 2 x eps))))
(fma.f64 eps eps (*.f64 (*.f64 eps 2) x))

simplify64.0ms (2.4%)

Algorithm
egg-herbie
Rules
1394×distribute-lft-in
1286×distribute-rgt-in
704×fma-def
584×fma-neg
558×cancel-sign-sub-inv
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0871147
1252893
2985889
33599889
Stop Event
node limit
Counts
47 → 43
Calls
Call 1
Inputs
(*.f64 2 (*.f64 eps x))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(pow.f64 eps 2)
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(pow.f64 eps 2)
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(pow.f64 eps 2)
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(*.f64 2 (*.f64 eps x))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(*.f64 2 (*.f64 eps x))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(+.f64 (*.f64 eps eps) (*.f64 (*.f64 eps 2) x))
(+.f64 (*.f64 (*.f64 eps 2) x) (*.f64 eps eps))
(+.f64 (*.f64 (*.f64 eps eps) 1) (*.f64 (*.f64 (*.f64 eps 2) x) 1))
(-.f64 (+.f64 1 (*.f64 eps (fma.f64 2 x eps))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 eps eps) 3) (pow.f64 (*.f64 (*.f64 eps 2) x) 3)) (+.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (-.f64 (*.f64 (*.f64 (*.f64 eps 2) x) (*.f64 (*.f64 eps 2) x)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps 2) x)))))
(/.f64 (-.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 (*.f64 (*.f64 eps 2) x) (*.f64 (*.f64 eps 2) x))) (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps 2) x)))
(/.f64 (*.f64 eps (+.f64 (*.f64 (pow.f64 x 3) 8) (pow.f64 eps 3))) (fma.f64 eps eps (*.f64 (*.f64 2 x) (-.f64 (*.f64 2 x) eps))))
(/.f64 (*.f64 eps (-.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) 4))) (+.f64 eps (*.f64 -2 x)))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 3) 8) (pow.f64 eps 3)) eps) (fma.f64 eps eps (*.f64 (*.f64 2 x) (-.f64 (*.f64 2 x) eps))))
(/.f64 (*.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) 4)) eps) (+.f64 eps (*.f64 -2 x)))
(pow.f64 (*.f64 eps (fma.f64 2 x eps)) 1)
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) 3)
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 2 x eps))) 2)
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 2))
(log.f64 (pow.f64 (exp.f64 eps) (fma.f64 2 x eps)))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3))
(cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (fma.f64 2 x eps) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 2 x eps) 3) (pow.f64 eps 3)))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 2 x eps))))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 2 x eps))))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 2 x eps))))
(fma.f64 eps eps (*.f64 (*.f64 eps 2) x))
Outputs
(*.f64 2 (*.f64 eps x))
(*.f64 x (*.f64 2 eps))
(*.f64 eps (*.f64 2 x))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(*.f64 2 (*.f64 eps x))
(*.f64 x (*.f64 2 eps))
(*.f64 eps (*.f64 2 x))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(*.f64 2 (*.f64 eps x))
(*.f64 x (*.f64 2 eps))
(*.f64 eps (*.f64 2 x))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (*.f64 eps eps) (*.f64 (*.f64 eps 2) x))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (*.f64 (*.f64 eps 2) x) (*.f64 eps eps))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (*.f64 (*.f64 eps eps) 1) (*.f64 (*.f64 (*.f64 eps 2) x) 1))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(-.f64 (+.f64 1 (*.f64 eps (fma.f64 2 x eps))) 1)
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(/.f64 (+.f64 (pow.f64 (*.f64 eps eps) 3) (pow.f64 (*.f64 (*.f64 eps 2) x) 3)) (+.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (-.f64 (*.f64 (*.f64 (*.f64 eps 2) x) (*.f64 (*.f64 eps 2) x)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps 2) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 eps eps) 3) (pow.f64 (*.f64 2 (*.f64 eps x)) 3)) (+.f64 (*.f64 eps (pow.f64 eps 3)) (*.f64 (*.f64 2 (*.f64 eps x)) (-.f64 (*.f64 2 (*.f64 eps x)) (*.f64 eps eps)))))
(/.f64 (+.f64 (pow.f64 eps 6) (pow.f64 (*.f64 x (*.f64 2 eps)) 3)) (fma.f64 (*.f64 x (*.f64 2 eps)) (*.f64 eps (-.f64 (*.f64 2 x) eps)) (pow.f64 eps 4)))
(/.f64 (fma.f64 8 (pow.f64 (*.f64 eps x) 3) (pow.f64 eps 6)) (fma.f64 eps (*.f64 (*.f64 2 x) (*.f64 eps (-.f64 (*.f64 2 x) eps))) (pow.f64 eps 4)))
(/.f64 (fma.f64 8 (pow.f64 (*.f64 eps x) 3) (pow.f64 eps 6)) (*.f64 (*.f64 eps eps) (+.f64 (*.f64 eps (fma.f64 x -2 eps)) (*.f64 x (*.f64 x 4)))))
(/.f64 (-.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 (*.f64 (*.f64 eps 2) x) (*.f64 (*.f64 eps 2) x))) (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps 2) x)))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(/.f64 (*.f64 eps (+.f64 (*.f64 (pow.f64 x 3) 8) (pow.f64 eps 3))) (fma.f64 eps eps (*.f64 (*.f64 2 x) (-.f64 (*.f64 2 x) eps))))
(/.f64 eps (/.f64 (fma.f64 eps eps (*.f64 (*.f64 2 x) (-.f64 (*.f64 2 x) eps))) (fma.f64 (pow.f64 x 3) 8 (pow.f64 eps 3))))
(*.f64 (/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 eps 3)) (fma.f64 eps eps (*.f64 (*.f64 2 x) (-.f64 (*.f64 2 x) eps)))) eps)
(*.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 eps 3)) (/.f64 eps (+.f64 (*.f64 x (*.f64 x 4)) (*.f64 eps (fma.f64 x -2 eps)))))
(/.f64 (fma.f64 eps (*.f64 (pow.f64 x 3) 8) (pow.f64 eps 4)) (+.f64 (*.f64 eps (fma.f64 x -2 eps)) (*.f64 x (*.f64 x 4))))
(/.f64 (*.f64 eps (-.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) 4))) (+.f64 eps (*.f64 -2 x)))
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 x (*.f64 x 4))) (/.f64 (+.f64 eps (*.f64 x -2)) eps))
(*.f64 (/.f64 eps (fma.f64 x -2 eps)) (fma.f64 eps eps (*.f64 (*.f64 x x) -4)))
(*.f64 eps (/.f64 (fma.f64 eps eps (*.f64 x (*.f64 x -4))) (fma.f64 x -2 eps)))
(*.f64 eps (/.f64 (fma.f64 eps eps (*.f64 (*.f64 x x) -4)) (fma.f64 x -2 eps)))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 3) 8) (pow.f64 eps 3)) eps) (fma.f64 eps eps (*.f64 (*.f64 2 x) (-.f64 (*.f64 2 x) eps))))
(/.f64 eps (/.f64 (fma.f64 eps eps (*.f64 (*.f64 2 x) (-.f64 (*.f64 2 x) eps))) (fma.f64 (pow.f64 x 3) 8 (pow.f64 eps 3))))
(*.f64 (/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 eps 3)) (fma.f64 eps eps (*.f64 (*.f64 2 x) (-.f64 (*.f64 2 x) eps)))) eps)
(*.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 eps 3)) (/.f64 eps (+.f64 (*.f64 x (*.f64 x 4)) (*.f64 eps (fma.f64 x -2 eps)))))
(/.f64 (fma.f64 eps (*.f64 (pow.f64 x 3) 8) (pow.f64 eps 4)) (+.f64 (*.f64 eps (fma.f64 x -2 eps)) (*.f64 x (*.f64 x 4))))
(/.f64 (*.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) 4)) eps) (+.f64 eps (*.f64 -2 x)))
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 x (*.f64 x 4))) (/.f64 (+.f64 eps (*.f64 x -2)) eps))
(*.f64 (/.f64 eps (fma.f64 x -2 eps)) (fma.f64 eps eps (*.f64 (*.f64 x x) -4)))
(*.f64 eps (/.f64 (fma.f64 eps eps (*.f64 x (*.f64 x -4))) (fma.f64 x -2 eps)))
(*.f64 eps (/.f64 (fma.f64 eps eps (*.f64 (*.f64 x x) -4)) (fma.f64 x -2 eps)))
(pow.f64 (*.f64 eps (fma.f64 2 x eps)) 1)
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) 3)
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3) 1/3)
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 2 x eps))) 2)
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 2))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(log.f64 (pow.f64 (exp.f64 eps) (fma.f64 2 x eps)))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (fma.f64 2 x eps) 3)))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 2 x eps) 3) (pow.f64 eps 3)))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 2 x eps))))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 2 x eps))))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 2 x eps))))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 eps eps (*.f64 (*.f64 eps 2) x))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))

eval14.0ms (0.5%)

Compiler

Compiled 628 to 368 computations (41.4% saved)

prune10.0ms (0.4%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New43043
Fresh000
Picked033
Done011
Total43447
Accuracy
100.0%
Counts
47 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.2%
(*.f64 x (+.f64 eps eps))
100.0%
(*.f64 eps (+.f64 x (+.f64 x eps)))
100.0%
(*.f64 eps (+.f64 eps (*.f64 2 x)))
75.3%
(*.f64 eps eps)
Compiler

Compiled 63 to 35 computations (44.4% saved)

regimes18.0ms (0.7%)

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

3 calls:

9.0ms
eps
4.0ms
x
3.0ms
(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1eps
100.0%1(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))
Compiler

Compiled 50 to 29 computations (42% saved)

regimes8.0ms (0.3%)

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

2 calls:

4.0ms
eps
3.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1eps
Compiler

Compiled 23 to 13 computations (43.5% saved)

regimes25.0ms (0.9%)

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

2 calls:

14.0ms
x
11.0ms
eps
Results
AccuracySegmentsBranch
93.0%3x
90.3%3eps
Compiler

Compiled 16 to 9 computations (43.8% saved)

regimes7.0ms (0.3%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

4.0ms
x
3.0ms
eps
Results
AccuracySegmentsBranch
75.3%1eps
75.3%1x
Compiler

Compiled 11 to 7 computations (36.4% saved)

bsearch34.0ms (1.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
3.2145647684411654e-130
4.240844219245169e-127
17.0ms
-3.543754588338559e-136
-6.751440148206124e-138
Results
31.0ms240×body256valid
Compiler

Compiled 226 to 147 computations (35% saved)

simplify6.0ms (0.2%)

Algorithm
egg-herbie
Rules
*-commutative
+-commutative
if-if-or-not
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02390
13590
Stop Event
done
saturated
Calls
Call 1
Inputs
(*.f64 eps (+.f64 x (+.f64 x eps)))
(*.f64 eps (+.f64 eps (*.f64 2 x)))
(if (<=.f64 x -4582746851054599/13093562431584567480052758787310396608866568184172259157933165472384535185618698219533080369303616628603546736510240284036869026183541572213314110357504) (*.f64 x (+.f64 eps eps)) (if (<=.f64 x 2438866054934369/6097165137335922326917182089439777940915230747392521779021790936768304177382354726797472857545882756171536974846497310342671827498609932238848) (*.f64 eps eps) (*.f64 x (+.f64 eps eps))))
(*.f64 eps eps)
Outputs
(*.f64 eps (+.f64 x (+.f64 x eps)))
(*.f64 eps (+.f64 x (+.f64 eps x)))
(*.f64 eps (+.f64 eps (*.f64 2 x)))
(*.f64 eps (+.f64 eps (*.f64 x 2)))
(if (<=.f64 x -4582746851054599/13093562431584567480052758787310396608866568184172259157933165472384535185618698219533080369303616628603546736510240284036869026183541572213314110357504) (*.f64 x (+.f64 eps eps)) (if (<=.f64 x 2438866054934369/6097165137335922326917182089439777940915230747392521779021790936768304177382354726797472857545882756171536974846497310342671827498609932238848) (*.f64 eps eps) (*.f64 x (+.f64 eps eps))))
(if (or (<=.f64 x -4582746851054599/13093562431584567480052758787310396608866568184172259157933165472384535185618698219533080369303616628603546736510240284036869026183541572213314110357504) (not (<=.f64 x 2438866054934369/6097165137335922326917182089439777940915230747392521779021790936768304177382354726797472857545882756171536974846497310342671827498609932238848))) (*.f64 x (+.f64 eps eps)) (*.f64 eps eps))
(*.f64 eps eps)
Compiler

Compiled 42 to 26 computations (38.1% saved)

soundness224.0ms (8.4%)

Rules
1358×fma-def
1030×times-frac
938×log-prod
852×unswap-sqr
758×distribute-lft-out
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
023141
164125
2168125
371495
4408295
03503895
18973167
224712957
377162957
Stop Event
node limit
node limit
Compiler

Compiled 124 to 41 computations (66.9% saved)

end0.0ms (0%)

preprocess40.0ms (1.5%)

Compiler

Compiled 94 to 54 computations (42.6% saved)

Profiling

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