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

Time bar (total: 2.5s)

analyze0.0ms (0%)

Algorithm
1×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 (63.3%)

Results
1.0s6115×body256valid
326.0ms1029×body1024valid
224.0ms1094×body512valid
6.0ms18×body2048valid
Bogosity

preprocess113.0ms (4.5%)

Algorithm
1×egg-herbie
Rules
1358×fma-def
852×unswap-sqr
794×distribute-lft-out
644×distribute-lft-neg-in
644×associate-*r*
Problems
185×No Errors
71×(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
026186
167170
2171170
3717140
44091140
Stop Event
1×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 eps (+.f64 eps (*.f64 x 2)))
(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))
(*.f64 eps (+.f64 eps (*.f64 x 2)))
(-.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) (pow.f64 x 2))
(*.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) (pow.f64 x 2))
(*.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) (pow.f64 eps 2))
(*.f64 x (+.f64 x (*.f64 2 eps)))
Compiler

Compiled 37 to 22 computations (40.5% saved)

eval0.0ms (0%)

Compiler

Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(*.f64 eps (+.f64 eps (*.f64 x 2)))
▶100.0%
(*.f64 eps (+.f64 eps (*.f64 x 2)))
Compiler

Compiled 18 to 12 computations (33.3% saved)

localize46.0ms (1.8%)

Localize:

Found 1 expressions with local error:

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

Compiled 21 to 13 computations (38.1% saved)

series3.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

rewrite97.0ms (3.9%)

Algorithm
1×batch-egg-rewrite
Rules
1786×prod-diff
614×log-prod
608×log1p-expm1-u
608×expm1-log1p-u
590×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01128
112024
2166024
Stop Event
1×node limit
Counts
1 → 57
Calls
Call 1
Inputs
(*.f64 eps (+.f64 eps (*.f64 x 2)))
Outputs
(+.f64 (pow.f64 eps 2) (*.f64 eps (*.f64 x 2)))
(+.f64 (*.f64 eps (*.f64 x 2)) (pow.f64 eps 2))
(+.f64 0 (*.f64 eps (fma.f64 x 2 eps)))
(+.f64 (*.f64 (pow.f64 eps 2) 1) (*.f64 (*.f64 eps (*.f64 x 2)) 1))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 x 2 eps))) (cbrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 x 2 eps))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 x 2 eps)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 x 2 eps)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 x 2 eps)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 x 2 eps)))) 1)
(/.f64 (+.f64 (pow.f64 eps 6) (pow.f64 (*.f64 eps (*.f64 x 2)) 3)) (+.f64 (pow.f64 eps 4) (-.f64 (pow.f64 (*.f64 eps (*.f64 x 2)) 2) (*.f64 (pow.f64 eps 2) (*.f64 eps (*.f64 x 2))))))
(/.f64 (-.f64 (pow.f64 eps 4) (pow.f64 (*.f64 eps (*.f64 x 2)) 2)) (-.f64 (pow.f64 eps 2) (*.f64 eps (*.f64 x 2))))
(/.f64 (*.f64 eps (fma.f64 (pow.f64 x 3) 8 (pow.f64 eps 3))) (fma.f64 (*.f64 x 2) (-.f64 (*.f64 x 2) eps) (pow.f64 eps 2)))
(/.f64 (*.f64 eps (-.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x 2) 4))) (+.f64 eps (*.f64 -2 x)))
(/.f64 (*.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 eps 3)) eps) (fma.f64 (*.f64 x 2) (-.f64 (*.f64 x 2) eps) (pow.f64 eps 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x 2) 4)) eps) (+.f64 eps (*.f64 -2 x)))
(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 eps) (fma.f64 x 2 eps)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (fma.f64 x 2 eps)))))
(log.f64 (*.f64 (exp.f64 (*.f64 eps (*.f64 x 2))) (exp.f64 (pow.f64 eps 2))))
(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 eps eps (*.f64 eps (*.f64 x 2)))
(fma.f64 eps (*.f64 x 2) (pow.f64 eps 2))
(fma.f64 x (*.f64 2 eps) (pow.f64 eps 2))
(fma.f64 2 (*.f64 x eps) (pow.f64 eps 2))
(fma.f64 (*.f64 x 2) eps (pow.f64 eps 2))
(fma.f64 1 (pow.f64 eps 2) (*.f64 eps (*.f64 x 2)))
(fma.f64 1 (*.f64 eps (*.f64 x 2)) (pow.f64 eps 2))
(fma.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 eps) 4) (*.f64 eps (*.f64 x 2)))
(fma.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (*.f64 x 2)) (pow.f64 eps 2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2) (*.f64 (cbrt.f64 (*.f64 x 2)) eps) (pow.f64 eps 2))
(fma.f64 (pow.f64 eps 2) 1 (*.f64 (*.f64 eps (*.f64 x 2)) 1))
(fma.f64 (sqrt.f64 eps) (pow.f64 eps 3/2) (*.f64 eps (*.f64 x 2)))
(fma.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (*.f64 x 2)) (pow.f64 eps 2))
(fma.f64 (sqrt.f64 (*.f64 x 2)) (*.f64 (sqrt.f64 (*.f64 x 2)) eps) (pow.f64 eps 2))
(fma.f64 (pow.f64 (cbrt.f64 eps) 4) (pow.f64 (cbrt.f64 eps) 2) (*.f64 eps (*.f64 x 2)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 eps (*.f64 x 2))) (cbrt.f64 (*.f64 eps (*.f64 x 2)))) (cbrt.f64 (*.f64 eps (*.f64 x 2))) (pow.f64 eps 2))
(fma.f64 (sqrt.f64 (*.f64 eps (*.f64 x 2))) (sqrt.f64 (*.f64 eps (*.f64 x 2))) (pow.f64 eps 2))
(fma.f64 (pow.f64 (*.f64 eps (*.f64 x 2)) 1/2) (pow.f64 (*.f64 eps (*.f64 x 2)) 1/2) (pow.f64 eps 2))
(fma.f64 (pow.f64 (cbrt.f64 eps) 5) (cbrt.f64 eps) (*.f64 eps (*.f64 x 2)))
(fma.f64 (*.f64 (*.f64 x 2) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps) (pow.f64 eps 2))
(fma.f64 (*.f64 (*.f64 x 2) (sqrt.f64 eps)) (sqrt.f64 eps) (pow.f64 eps 2))
(fma.f64 (*.f64 eps x) 2 (pow.f64 eps 2))
(fma.f64 (*.f64 eps 2) x (pow.f64 eps 2))
(fma.f64 (*.f64 eps (pow.f64 (cbrt.f64 (*.f64 x 2)) 2)) (cbrt.f64 (*.f64 x 2)) (pow.f64 eps 2))
(fma.f64 (*.f64 eps (sqrt.f64 (*.f64 x 2))) (sqrt.f64 (*.f64 x 2)) (pow.f64 eps 2))
(fma.f64 (pow.f64 eps 3/2) (sqrt.f64 eps) (*.f64 eps (*.f64 x 2)))

simplify67.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
1046×fma-def
948×associate-+r+
814×cancel-sign-sub-inv
574×distribute-rgt-neg-in
554×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01642712
13902269
210922208
343072208
Stop Event
1×node limit
Counts
81 → 78
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 (pow.f64 eps 2) (*.f64 eps (*.f64 x 2)))
(+.f64 (*.f64 eps (*.f64 x 2)) (pow.f64 eps 2))
(+.f64 0 (*.f64 eps (fma.f64 x 2 eps)))
(+.f64 (*.f64 (pow.f64 eps 2) 1) (*.f64 (*.f64 eps (*.f64 x 2)) 1))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 x 2 eps))) (cbrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 x 2 eps))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 x 2 eps)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 x 2 eps)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 x 2 eps)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 x 2 eps)))) 1)
(/.f64 (+.f64 (pow.f64 eps 6) (pow.f64 (*.f64 eps (*.f64 x 2)) 3)) (+.f64 (pow.f64 eps 4) (-.f64 (pow.f64 (*.f64 eps (*.f64 x 2)) 2) (*.f64 (pow.f64 eps 2) (*.f64 eps (*.f64 x 2))))))
(/.f64 (-.f64 (pow.f64 eps 4) (pow.f64 (*.f64 eps (*.f64 x 2)) 2)) (-.f64 (pow.f64 eps 2) (*.f64 eps (*.f64 x 2))))
(/.f64 (*.f64 eps (fma.f64 (pow.f64 x 3) 8 (pow.f64 eps 3))) (fma.f64 (*.f64 x 2) (-.f64 (*.f64 x 2) eps) (pow.f64 eps 2)))
(/.f64 (*.f64 eps (-.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x 2) 4))) (+.f64 eps (*.f64 -2 x)))
(/.f64 (*.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 eps 3)) eps) (fma.f64 (*.f64 x 2) (-.f64 (*.f64 x 2) eps) (pow.f64 eps 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x 2) 4)) eps) (+.f64 eps (*.f64 -2 x)))
(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 eps) (fma.f64 x 2 eps)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (fma.f64 x 2 eps)))))
(log.f64 (*.f64 (exp.f64 (*.f64 eps (*.f64 x 2))) (exp.f64 (pow.f64 eps 2))))
(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 eps eps (*.f64 eps (*.f64 x 2)))
(fma.f64 eps (*.f64 x 2) (pow.f64 eps 2))
(fma.f64 x (*.f64 2 eps) (pow.f64 eps 2))
(fma.f64 2 (*.f64 x eps) (pow.f64 eps 2))
(fma.f64 (*.f64 x 2) eps (pow.f64 eps 2))
(fma.f64 1 (pow.f64 eps 2) (*.f64 eps (*.f64 x 2)))
(fma.f64 1 (*.f64 eps (*.f64 x 2)) (pow.f64 eps 2))
(fma.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 eps) 4) (*.f64 eps (*.f64 x 2)))
(fma.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (*.f64 x 2)) (pow.f64 eps 2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2) (*.f64 (cbrt.f64 (*.f64 x 2)) eps) (pow.f64 eps 2))
(fma.f64 (pow.f64 eps 2) 1 (*.f64 (*.f64 eps (*.f64 x 2)) 1))
(fma.f64 (sqrt.f64 eps) (pow.f64 eps 3/2) (*.f64 eps (*.f64 x 2)))
(fma.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (*.f64 x 2)) (pow.f64 eps 2))
(fma.f64 (sqrt.f64 (*.f64 x 2)) (*.f64 (sqrt.f64 (*.f64 x 2)) eps) (pow.f64 eps 2))
(fma.f64 (pow.f64 (cbrt.f64 eps) 4) (pow.f64 (cbrt.f64 eps) 2) (*.f64 eps (*.f64 x 2)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 eps (*.f64 x 2))) (cbrt.f64 (*.f64 eps (*.f64 x 2)))) (cbrt.f64 (*.f64 eps (*.f64 x 2))) (pow.f64 eps 2))
(fma.f64 (sqrt.f64 (*.f64 eps (*.f64 x 2))) (sqrt.f64 (*.f64 eps (*.f64 x 2))) (pow.f64 eps 2))
(fma.f64 (pow.f64 (*.f64 eps (*.f64 x 2)) 1/2) (pow.f64 (*.f64 eps (*.f64 x 2)) 1/2) (pow.f64 eps 2))
(fma.f64 (pow.f64 (cbrt.f64 eps) 5) (cbrt.f64 eps) (*.f64 eps (*.f64 x 2)))
(fma.f64 (*.f64 (*.f64 x 2) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps) (pow.f64 eps 2))
(fma.f64 (*.f64 (*.f64 x 2) (sqrt.f64 eps)) (sqrt.f64 eps) (pow.f64 eps 2))
(fma.f64 (*.f64 eps x) 2 (pow.f64 eps 2))
(fma.f64 (*.f64 eps 2) x (pow.f64 eps 2))
(fma.f64 (*.f64 eps (pow.f64 (cbrt.f64 (*.f64 x 2)) 2)) (cbrt.f64 (*.f64 x 2)) (pow.f64 eps 2))
(fma.f64 (*.f64 eps (sqrt.f64 (*.f64 x 2))) (sqrt.f64 (*.f64 x 2)) (pow.f64 eps 2))
(fma.f64 (pow.f64 eps 3/2) (sqrt.f64 eps) (*.f64 eps (*.f64 x 2)))
Outputs
(*.f64 2 (*.f64 eps x))
(*.f64 eps (*.f64 2 x))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(fma.f64 eps (*.f64 2 x) (pow.f64 eps 2))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(fma.f64 eps (*.f64 2 x) (pow.f64 eps 2))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(fma.f64 eps (*.f64 2 x) (pow.f64 eps 2))
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 eps 2)
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(fma.f64 eps (*.f64 2 x) (pow.f64 eps 2))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(fma.f64 eps (*.f64 2 x) (pow.f64 eps 2))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(fma.f64 eps (*.f64 2 x) (pow.f64 eps 2))
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 eps 2)
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(fma.f64 eps (*.f64 2 x) (pow.f64 eps 2))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(fma.f64 eps (*.f64 2 x) (pow.f64 eps 2))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(fma.f64 eps (*.f64 2 x) (pow.f64 eps 2))
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 eps 2)
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(fma.f64 eps (*.f64 2 x) (pow.f64 eps 2))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(fma.f64 eps (*.f64 2 x) (pow.f64 eps 2))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(fma.f64 eps (*.f64 2 x) (pow.f64 eps 2))
(*.f64 eps (fma.f64 2 x eps))
(*.f64 2 (*.f64 eps x))
(*.f64 eps (*.f64 2 x))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(fma.f64 eps (*.f64 2 x) (pow.f64 eps 2))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(fma.f64 eps (*.f64 2 x) (pow.f64 eps 2))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(fma.f64 eps (*.f64 2 x) (pow.f64 eps 2))
(*.f64 eps (fma.f64 2 x eps))
(*.f64 2 (*.f64 eps x))
(*.f64 eps (*.f64 2 x))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(fma.f64 eps (*.f64 2 x) (pow.f64 eps 2))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(fma.f64 eps (*.f64 2 x) (pow.f64 eps 2))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(fma.f64 eps (*.f64 2 x) (pow.f64 eps 2))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (*.f64 eps (*.f64 x 2)))
(fma.f64 eps (*.f64 2 x) (pow.f64 eps 2))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (*.f64 eps (*.f64 x 2)) (pow.f64 eps 2))
(fma.f64 eps (*.f64 2 x) (pow.f64 eps 2))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 0 (*.f64 eps (fma.f64 x 2 eps)))
(fma.f64 eps (*.f64 2 x) (pow.f64 eps 2))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (*.f64 (pow.f64 eps 2) 1) (*.f64 (*.f64 eps (*.f64 x 2)) 1))
(fma.f64 eps (*.f64 2 x) (pow.f64 eps 2))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 x 2 eps))) (cbrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 x 2 eps))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 x 2 eps)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 2 x eps))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 2 x 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 eps) (fma.f64 x 2 eps)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 x 2 eps)))))
(fma.f64 eps (*.f64 2 x) (pow.f64 eps 2))
(*.f64 eps (fma.f64 2 x eps))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 x 2 eps)))) 1)
(fma.f64 eps (*.f64 2 x) (pow.f64 eps 2))
(*.f64 eps (fma.f64 2 x eps))
(/.f64 (+.f64 (pow.f64 eps 6) (pow.f64 (*.f64 eps (*.f64 x 2)) 3)) (+.f64 (pow.f64 eps 4) (-.f64 (pow.f64 (*.f64 eps (*.f64 x 2)) 2) (*.f64 (pow.f64 eps 2) (*.f64 eps (*.f64 x 2))))))
(/.f64 (+.f64 (pow.f64 eps 6) (pow.f64 (*.f64 eps (*.f64 2 x)) 3)) (+.f64 (pow.f64 eps 4) (-.f64 (pow.f64 (*.f64 eps (*.f64 2 x)) 2) (*.f64 (pow.f64 eps 3) (*.f64 2 x)))))
(/.f64 (+.f64 (pow.f64 eps 6) (pow.f64 (*.f64 eps (*.f64 2 x)) 3)) (+.f64 (pow.f64 eps 4) (-.f64 (pow.f64 (*.f64 eps (*.f64 2 x)) 2) (*.f64 (*.f64 2 x) (pow.f64 eps 3)))))
(/.f64 (fma.f64 8 (pow.f64 (*.f64 eps x) 3) (pow.f64 eps 6)) (+.f64 (pow.f64 (*.f64 eps (*.f64 2 x)) 2) (*.f64 (pow.f64 eps 3) (fma.f64 x -2 eps))))
(/.f64 (fma.f64 8 (pow.f64 (*.f64 eps x) 3) (pow.f64 eps 6)) (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 eps (fma.f64 x -2 eps)) (*.f64 4 (pow.f64 x 2)))))
(/.f64 (-.f64 (pow.f64 eps 4) (pow.f64 (*.f64 eps (*.f64 x 2)) 2)) (-.f64 (pow.f64 eps 2) (*.f64 eps (*.f64 x 2))))
(fma.f64 eps (*.f64 2 x) (pow.f64 eps 2))
(*.f64 eps (fma.f64 2 x eps))
(/.f64 (*.f64 eps (fma.f64 (pow.f64 x 3) 8 (pow.f64 eps 3))) (fma.f64 (*.f64 x 2) (-.f64 (*.f64 x 2) eps) (pow.f64 eps 2)))
(/.f64 eps (/.f64 (fma.f64 (*.f64 2 x) (-.f64 (*.f64 2 x) eps) (pow.f64 eps 2)) (fma.f64 (pow.f64 x 3) 8 (pow.f64 eps 3))))
(*.f64 (/.f64 eps (fma.f64 (*.f64 2 x) (-.f64 (*.f64 2 x) eps) (pow.f64 eps 2))) (fma.f64 (pow.f64 x 3) 8 (pow.f64 eps 3)))
(*.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 eps 3)) (/.f64 eps (fma.f64 2 (*.f64 x (-.f64 (*.f64 2 x) eps)) (pow.f64 eps 2))))
(*.f64 eps (/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 eps 3)) (+.f64 (*.f64 eps (fma.f64 x -2 eps)) (*.f64 4 (pow.f64 x 2)))))
(/.f64 (*.f64 eps (-.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x 2) 4))) (+.f64 eps (*.f64 -2 x)))
(/.f64 eps (/.f64 (+.f64 eps (*.f64 x -2)) (-.f64 (pow.f64 eps 2) (*.f64 4 (pow.f64 x 2)))))
(*.f64 (/.f64 eps (fma.f64 x -2 eps)) (fma.f64 eps eps (*.f64 (pow.f64 x 2) -4)))
(*.f64 (fma.f64 (pow.f64 x 2) -4 (pow.f64 eps 2)) (/.f64 eps (fma.f64 x -2 eps)))
(/.f64 (*.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 eps 3)) eps) (fma.f64 (*.f64 x 2) (-.f64 (*.f64 x 2) eps) (pow.f64 eps 2)))
(/.f64 eps (/.f64 (fma.f64 (*.f64 2 x) (-.f64 (*.f64 2 x) eps) (pow.f64 eps 2)) (fma.f64 (pow.f64 x 3) 8 (pow.f64 eps 3))))
(*.f64 (/.f64 eps (fma.f64 (*.f64 2 x) (-.f64 (*.f64 2 x) eps) (pow.f64 eps 2))) (fma.f64 (pow.f64 x 3) 8 (pow.f64 eps 3)))
(*.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 eps 3)) (/.f64 eps (fma.f64 2 (*.f64 x (-.f64 (*.f64 2 x) eps)) (pow.f64 eps 2))))
(*.f64 eps (/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 eps 3)) (+.f64 (*.f64 eps (fma.f64 x -2 eps)) (*.f64 4 (pow.f64 x 2)))))
(/.f64 (*.f64 (-.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x 2) 4)) eps) (+.f64 eps (*.f64 -2 x)))
(/.f64 eps (/.f64 (+.f64 eps (*.f64 x -2)) (-.f64 (pow.f64 eps 2) (*.f64 4 (pow.f64 x 2)))))
(*.f64 (/.f64 eps (fma.f64 x -2 eps)) (fma.f64 eps eps (*.f64 (pow.f64 x 2) -4)))
(*.f64 (fma.f64 (pow.f64 x 2) -4 (pow.f64 eps 2)) (/.f64 eps (fma.f64 x -2 eps)))
(pow.f64 (*.f64 eps (fma.f64 x 2 eps)) 1)
(fma.f64 eps (*.f64 2 x) (pow.f64 eps 2))
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 x 2 eps))) 3)
(fma.f64 eps (*.f64 2 x) (pow.f64 eps 2))
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 x 2 eps)) 2) 1/2)
(fma.f64 eps (*.f64 2 x) (pow.f64 eps 2))
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 x 2 eps)) 3) 1/3)
(fma.f64 eps (*.f64 2 x) (pow.f64 eps 2))
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 x 2 eps))) 2)
(fma.f64 eps (*.f64 2 x) (pow.f64 eps 2))
(*.f64 eps (fma.f64 2 x eps))
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 x 2 eps)) 2))
(fma.f64 eps (*.f64 2 x) (pow.f64 eps 2))
(*.f64 eps (fma.f64 2 x eps))
(log.f64 (pow.f64 (exp.f64 eps) (fma.f64 x 2 eps)))
(fma.f64 eps (*.f64 2 x) (pow.f64 eps 2))
(*.f64 eps (fma.f64 2 x eps))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (fma.f64 x 2 eps)))))
(fma.f64 eps (*.f64 2 x) (pow.f64 eps 2))
(*.f64 eps (fma.f64 2 x eps))
(log.f64 (*.f64 (exp.f64 (*.f64 eps (*.f64 x 2))) (exp.f64 (pow.f64 eps 2))))
(fma.f64 eps (*.f64 2 x) (pow.f64 eps 2))
(*.f64 eps (fma.f64 2 x eps))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 x 2 eps)) 3))
(fma.f64 eps (*.f64 2 x) (pow.f64 eps 2))
(*.f64 eps (fma.f64 2 x eps))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 x 2 eps))))
(fma.f64 eps (*.f64 2 x) (pow.f64 eps 2))
(*.f64 eps (fma.f64 2 x eps))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 x 2 eps))))
(fma.f64 eps (*.f64 2 x) (pow.f64 eps 2))
(*.f64 eps (fma.f64 2 x eps))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (fma.f64 x 2 eps))) 1))
(fma.f64 eps (*.f64 2 x) (pow.f64 eps 2))
(*.f64 eps (fma.f64 2 x eps))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 eps (fma.f64 x 2 eps))) 1) 1))
(fma.f64 eps (*.f64 2 x) (pow.f64 eps 2))
(*.f64 eps (fma.f64 2 x eps))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 eps (fma.f64 x 2 eps)))) 3))
(fma.f64 eps (*.f64 2 x) (pow.f64 eps 2))
(*.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 eps (*.f64 2 x) (pow.f64 eps 2))
(*.f64 eps (fma.f64 2 x eps))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 eps (fma.f64 x 2 eps)))) 2))
(fma.f64 eps (*.f64 2 x) (pow.f64 eps 2))
(*.f64 eps (fma.f64 2 x eps))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 x 2 eps))))
(fma.f64 eps (*.f64 2 x) (pow.f64 eps 2))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 eps eps (*.f64 eps (*.f64 x 2)))
(fma.f64 eps (*.f64 2 x) (pow.f64 eps 2))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 eps (*.f64 x 2) (pow.f64 eps 2))
(fma.f64 eps (*.f64 2 x) (pow.f64 eps 2))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 x (*.f64 2 eps) (pow.f64 eps 2))
(fma.f64 eps (*.f64 2 x) (pow.f64 eps 2))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 2 (*.f64 x eps) (pow.f64 eps 2))
(fma.f64 eps (*.f64 2 x) (pow.f64 eps 2))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 (*.f64 x 2) eps (pow.f64 eps 2))
(fma.f64 eps (*.f64 2 x) (pow.f64 eps 2))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 1 (pow.f64 eps 2) (*.f64 eps (*.f64 x 2)))
(fma.f64 eps (*.f64 2 x) (pow.f64 eps 2))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 1 (*.f64 eps (*.f64 x 2)) (pow.f64 eps 2))
(fma.f64 eps (*.f64 2 x) (pow.f64 eps 2))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 eps) 4) (*.f64 eps (*.f64 x 2)))
(fma.f64 eps (*.f64 2 x) (pow.f64 eps 2))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (*.f64 x 2)) (pow.f64 eps 2))
(fma.f64 eps (*.f64 2 x) (pow.f64 eps 2))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2) (*.f64 (cbrt.f64 (*.f64 x 2)) eps) (pow.f64 eps 2))
(fma.f64 eps (*.f64 2 x) (pow.f64 eps 2))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 (pow.f64 eps 2) 1 (*.f64 (*.f64 eps (*.f64 x 2)) 1))
(fma.f64 eps (*.f64 2 x) (pow.f64 eps 2))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 (sqrt.f64 eps) (pow.f64 eps 3/2) (*.f64 eps (*.f64 x 2)))
(fma.f64 (sqrt.f64 eps) (pow.f64 eps 3/2) (*.f64 eps (*.f64 2 x)))
(fma.f64 (sqrt.f64 eps) (pow.f64 eps 3/2) (*.f64 2 (*.f64 eps x)))
(fma.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (*.f64 x 2)) (pow.f64 eps 2))
(fma.f64 eps (*.f64 2 x) (pow.f64 eps 2))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 (sqrt.f64 (*.f64 x 2)) (*.f64 (sqrt.f64 (*.f64 x 2)) eps) (pow.f64 eps 2))
(fma.f64 eps (*.f64 2 x) (pow.f64 eps 2))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 (pow.f64 (cbrt.f64 eps) 4) (pow.f64 (cbrt.f64 eps) 2) (*.f64 eps (*.f64 x 2)))
(fma.f64 eps (*.f64 2 x) (pow.f64 eps 2))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 eps (*.f64 x 2))) (cbrt.f64 (*.f64 eps (*.f64 x 2)))) (cbrt.f64 (*.f64 eps (*.f64 x 2))) (pow.f64 eps 2))
(fma.f64 eps (*.f64 2 x) (pow.f64 eps 2))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 (sqrt.f64 (*.f64 eps (*.f64 x 2))) (sqrt.f64 (*.f64 eps (*.f64 x 2))) (pow.f64 eps 2))
(fma.f64 eps (*.f64 2 x) (pow.f64 eps 2))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 (pow.f64 (*.f64 eps (*.f64 x 2)) 1/2) (pow.f64 (*.f64 eps (*.f64 x 2)) 1/2) (pow.f64 eps 2))
(fma.f64 eps (*.f64 2 x) (pow.f64 eps 2))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 (pow.f64 (cbrt.f64 eps) 5) (cbrt.f64 eps) (*.f64 eps (*.f64 x 2)))
(fma.f64 eps (*.f64 2 x) (pow.f64 eps 2))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 (*.f64 (*.f64 x 2) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps) (pow.f64 eps 2))
(fma.f64 eps (*.f64 2 x) (pow.f64 eps 2))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 (*.f64 (*.f64 x 2) (sqrt.f64 eps)) (sqrt.f64 eps) (pow.f64 eps 2))
(fma.f64 eps (*.f64 2 x) (pow.f64 eps 2))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 (*.f64 eps x) 2 (pow.f64 eps 2))
(fma.f64 eps (*.f64 2 x) (pow.f64 eps 2))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 (*.f64 eps 2) x (pow.f64 eps 2))
(fma.f64 eps (*.f64 2 x) (pow.f64 eps 2))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 (*.f64 eps (pow.f64 (cbrt.f64 (*.f64 x 2)) 2)) (cbrt.f64 (*.f64 x 2)) (pow.f64 eps 2))
(fma.f64 eps (*.f64 2 x) (pow.f64 eps 2))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 (*.f64 eps (sqrt.f64 (*.f64 x 2))) (sqrt.f64 (*.f64 x 2)) (pow.f64 eps 2))
(fma.f64 eps (*.f64 2 x) (pow.f64 eps 2))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 (pow.f64 eps 3/2) (sqrt.f64 eps) (*.f64 eps (*.f64 x 2)))
(fma.f64 (sqrt.f64 eps) (pow.f64 eps 3/2) (*.f64 eps (*.f64 2 x)))
(fma.f64 (sqrt.f64 eps) (pow.f64 eps 3/2) (*.f64 2 (*.f64 eps x)))

eval28.0ms (1.1%)

Compiler

Compiled 1070 to 711 computations (33.6% saved)

prune16.0ms (0.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New75378
Fresh000
Picked011
Done000
Total75479
Accuracy
100.0%
Counts
79 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(fma.f64 eps eps (*.f64 eps (*.f64 x 2)))
✓100.0%
(*.f64 eps (+.f64 eps (*.f64 x 2)))
▶63.5%
(*.f64 eps (*.f64 2 x))
▶63.5%
(*.f64 2 (*.f64 eps x))
▶100.0%
(fma.f64 eps eps (*.f64 eps (*.f64 x 2)))
✓100.0%
(*.f64 eps (+.f64 eps (*.f64 x 2)))
▶63.5%
(*.f64 eps (*.f64 2 x))
▶63.5%
(*.f64 2 (*.f64 eps x))
Compiler

Compiled 66 to 44 computations (33.3% saved)

localize59.0ms (2.4%)

Localize:

Found 1 expressions with local error:

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

Compiled 44 to 23 computations (47.7% saved)

series4.0ms (0.1%)

Counts
1 → 0
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(*.f64 2 (*.f64 eps x))
1.0ms
eps
@-inf
(*.f64 2 (*.f64 eps x))
1.0ms
eps
@0
(*.f64 2 (*.f64 eps x))
0.0ms
x
@0
(*.f64 2 (*.f64 eps x))
0.0ms
eps
@inf
(*.f64 2 (*.f64 eps x))

rewrite49.0ms (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
662×unpow-prod-down
474×log-prod
464×cbrt-prod
363×log1p-expm1-u
363×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01019
18819
299919
Stop Event
1×node limit
Counts
1 → 22
Calls
Call 1
Inputs
(*.f64 2 (*.f64 eps x))
Outputs
(+.f64 (*.f64 eps x) (*.f64 eps x))
(+.f64 0 (*.f64 x (*.f64 2 eps)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) 4))) (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) x)) 2)))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 2 eps)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 2 eps)))))
(-.f64 (+.f64 1 (*.f64 x (*.f64 2 eps))) 1)
(pow.f64 (*.f64 x (*.f64 2 eps)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 2 eps))) 3)
(pow.f64 (pow.f64 (*.f64 x (*.f64 2 eps)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 x (*.f64 2 eps)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 2 eps))) 2)
(pow.f64 (E.f64) (log.f64 (*.f64 x (*.f64 2 eps))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 x (*.f64 2 eps))) 2))) (cbrt.f64 (log.f64 (*.f64 x (*.f64 2 eps)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (*.f64 2 eps))))) (sqrt.f64 (log.f64 (*.f64 x (*.f64 2 eps)))))
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 2 eps)) 2))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 2 eps)))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 2 eps)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 2 eps))))
(exp.f64 (log.f64 (*.f64 x (*.f64 2 eps))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 2 eps)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (*.f64 2 eps)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (*.f64 2 eps)))) 2))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 2 eps))))

simplify56.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
938×log-prod
838×associate-*r*
754×associate-+r+
746×associate-+l+
732×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
073516
1170512
2493512
33340512
47852512
Stop Event
1×node limit
Counts
22 → 27
Calls
Call 1
Inputs
(+.f64 (*.f64 eps x) (*.f64 eps x))
(+.f64 0 (*.f64 x (*.f64 2 eps)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) 4))) (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) x)) 2)))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 2 eps)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 2 eps)))))
(-.f64 (+.f64 1 (*.f64 x (*.f64 2 eps))) 1)
(pow.f64 (*.f64 x (*.f64 2 eps)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 2 eps))) 3)
(pow.f64 (pow.f64 (*.f64 x (*.f64 2 eps)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 x (*.f64 2 eps)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 2 eps))) 2)
(pow.f64 (E.f64) (log.f64 (*.f64 x (*.f64 2 eps))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 x (*.f64 2 eps))) 2))) (cbrt.f64 (log.f64 (*.f64 x (*.f64 2 eps)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (*.f64 2 eps))))) (sqrt.f64 (log.f64 (*.f64 x (*.f64 2 eps)))))
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 2 eps)) 2))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 2 eps)))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 2 eps)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 2 eps))))
(exp.f64 (log.f64 (*.f64 x (*.f64 2 eps))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 2 eps)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (*.f64 2 eps)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (*.f64 2 eps)))) 2))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 2 eps))))
Outputs
(+.f64 (*.f64 eps x) (*.f64 eps x))
(*.f64 2 (*.f64 eps x))
(*.f64 eps (*.f64 x 2))
(+.f64 0 (*.f64 x (*.f64 2 eps)))
(*.f64 2 (*.f64 eps x))
(*.f64 eps (*.f64 x 2))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) 4))) (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) x)) 2)))
(fma.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) x))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) 4))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 2 eps)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 2 eps)))))
(*.f64 2 (*.f64 eps x))
(*.f64 eps (*.f64 x 2))
(-.f64 (+.f64 1 (*.f64 x (*.f64 2 eps))) 1)
(*.f64 2 (*.f64 eps x))
(*.f64 eps (*.f64 x 2))
(pow.f64 (*.f64 x (*.f64 2 eps)) 1)
(*.f64 2 (*.f64 eps x))
(*.f64 eps (*.f64 x 2))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 2 eps))) 3)
(*.f64 2 (*.f64 eps x))
(*.f64 eps (*.f64 x 2))
(pow.f64 (pow.f64 (*.f64 x (*.f64 2 eps)) 2) 1/2)
(*.f64 2 (*.f64 eps x))
(*.f64 eps (*.f64 x 2))
(pow.f64 (pow.f64 (*.f64 x (*.f64 2 eps)) 3) 1/3)
(*.f64 2 (*.f64 eps x))
(*.f64 eps (*.f64 x 2))
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 2 eps))) 2)
(*.f64 2 (*.f64 eps x))
(*.f64 eps (*.f64 x 2))
(pow.f64 (E.f64) (log.f64 (*.f64 x (*.f64 2 eps))))
(*.f64 2 (*.f64 eps x))
(*.f64 eps (*.f64 x 2))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 x (*.f64 2 eps))) 2))) (cbrt.f64 (log.f64 (*.f64 x (*.f64 2 eps)))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 x (*.f64 eps 2))) 2))) (cbrt.f64 (log.f64 (*.f64 x (*.f64 eps 2)))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 eps (*.f64 x 2))) 2))) (cbrt.f64 (log.f64 (*.f64 eps (*.f64 x 2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (*.f64 2 eps))))) (sqrt.f64 (log.f64 (*.f64 x (*.f64 2 eps)))))
(*.f64 2 (*.f64 eps x))
(*.f64 eps (*.f64 x 2))
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 2 eps)) 2))
(*.f64 2 (*.f64 eps x))
(*.f64 eps (*.f64 x 2))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 2 eps)))
(*.f64 2 (*.f64 eps x))
(*.f64 eps (*.f64 x 2))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 2 eps)) 3))
(*.f64 2 (*.f64 eps x))
(*.f64 eps (*.f64 x 2))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 2 eps))))
(*.f64 2 (*.f64 eps x))
(*.f64 eps (*.f64 x 2))
(exp.f64 (log.f64 (*.f64 x (*.f64 2 eps))))
(*.f64 2 (*.f64 eps x))
(*.f64 eps (*.f64 x 2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 2 eps)))) 3))
(*.f64 2 (*.f64 eps x))
(*.f64 eps (*.f64 x 2))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (*.f64 2 eps)))) 1/3))
(*.f64 2 (*.f64 eps x))
(*.f64 eps (*.f64 x 2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (*.f64 2 eps)))) 2))
(*.f64 2 (*.f64 eps x))
(*.f64 eps (*.f64 x 2))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 2 eps))))
(*.f64 2 (*.f64 eps x))
(*.f64 eps (*.f64 x 2))

eval6.0ms (0.2%)

Compiler

Compiled 279 to 198 computations (29% saved)

prune6.0ms (0.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New27027
Fresh000
Picked033
Done011
Total27431
Accuracy
100.0%
Counts
31 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(fma.f64 eps eps (*.f64 eps (*.f64 x 2)))
✓100.0%
(*.f64 eps (+.f64 eps (*.f64 x 2)))
✓63.5%
(*.f64 eps (*.f64 2 x))
✓63.5%
(*.f64 2 (*.f64 eps x))
Compiler

Compiled 69 to 44 computations (36.2% saved)

regimes13.0ms (0.5%)

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

3 calls:

5.0ms
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 53 to 34 computations (35.8% saved)

regimes15.0ms (0.6%)

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

2 calls:

10.0ms
x
4.0ms
eps
Results
AccuracySegmentsBranch
100.0%1x
100.0%1eps
Compiler

Compiled 25 to 16 computations (36% saved)

regimes7.0ms (0.3%)

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

2 calls:

3.0ms
x
3.0ms
eps
Results
AccuracySegmentsBranch
63.5%1x
63.5%1eps
Compiler

Compiled 18 to 12 computations (33.3% saved)

regimes7.0ms (0.3%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

3.0ms
x
3.0ms
eps
Results
AccuracySegmentsBranch
63.5%1x
63.5%1eps
Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify3.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01899
12499
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(fma.f64 eps eps (*.f64 eps (*.f64 x 2)))
(*.f64 eps (+.f64 eps (*.f64 x 2)))
(*.f64 eps (*.f64 2 x))
(*.f64 2 (*.f64 eps x))
Outputs
(fma.f64 eps eps (*.f64 eps (*.f64 x 2)))
(*.f64 eps (+.f64 eps (*.f64 x 2)))
(*.f64 eps (*.f64 2 x))
(*.f64 eps (*.f64 x 2))
(*.f64 2 (*.f64 eps x))
Compiler

Compiled 33 to 22 computations (33.3% saved)

soundness288.0ms (11.5%)

Rules
1786×prod-diff
1358×fma-def
1046×fma-def
948×associate-+r+
852×unswap-sqr
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026186
167170
2171170
3717140
44091140
01128
112024
2166024
01642712
13902269
210922208
343072208
Stop Event
1×node limit
1×node limit
1×node limit
Compiler

Compiled 249 to 128 computations (48.6% saved)

end0.0ms (0%)

preprocess34.0ms (1.4%)

Compiler

Compiled 76 to 48 computations (36.8% saved)

Profiling

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