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

Time bar (total: 5.4s)

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)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
ival-sub: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-and: 0.0ms (0% of total)
const: 0.0ms (0% of total)
ival-<=: 0.0ms (0% of total)
ival-pow: 0.0ms (0% of total)

sample2.3s (41.8%)

Results
589.0ms5302×0valid
734.0ms2435×1valid
211.0ms519×2valid
Precisions
Click to see histograms. Total time spent on operations: 1.2s
ival-pow: 357.0ms (30.6% of total)
ival-<=: 309.0ms (26.5% of total)
ival-add: 235.0ms (20.2% of total)
backward-pass: 121.0ms (10.4% of total)
ival-sub: 72.0ms (6.2% of total)
const: 38.0ms (3.3% of total)
ival-and: 33.0ms (2.8% of total)
Bogosity

preprocess233.0ms (4.3%)

Algorithm
egg-herbie
Rules
578×sub-neg
485×unsub-neg
479×fma-neg
478×distribute-lft-in
347×distribute-rgt-in
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
028278
157246
2174238
3663196
42246188
55182188
66776188
77401188
87630188
97744188
107777188
Stop Event
node limit
Calls
Call 1
Inputs
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (pow.f64 (+.f64 (neg.f64 x) eps) #s(literal 2 binary64)) (pow.f64 (neg.f64 x) #s(literal 2 binary64)))
(-.f64 (pow.f64 (+.f64 x (neg.f64 eps)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(neg.f64 (-.f64 (pow.f64 (+.f64 (neg.f64 x) eps) #s(literal 2 binary64)) (pow.f64 (neg.f64 x) #s(literal 2 binary64))))
(neg.f64 (-.f64 (pow.f64 (+.f64 x (neg.f64 eps)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))
Outputs
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))
(-.f64 (pow.f64 (+.f64 (neg.f64 x) eps) #s(literal 2 binary64)) (pow.f64 (neg.f64 x) #s(literal 2 binary64)))
(-.f64 (pow.f64 (+.f64 eps (neg.f64 x)) #s(literal 2 binary64)) (pow.f64 (neg.f64 x) #s(literal 2 binary64)))
(-.f64 (pow.f64 (-.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 eps (-.f64 eps (*.f64 x #s(literal 2 binary64))))
(*.f64 eps (fma.f64 x #s(literal -2 binary64) eps))
(-.f64 (pow.f64 (+.f64 x (neg.f64 eps)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (pow.f64 (+.f64 eps (neg.f64 x)) #s(literal 2 binary64)) (pow.f64 (neg.f64 x) #s(literal 2 binary64)))
(-.f64 (pow.f64 (-.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 eps (-.f64 eps (*.f64 x #s(literal 2 binary64))))
(*.f64 eps (fma.f64 x #s(literal -2 binary64) eps))
(neg.f64 (-.f64 (pow.f64 (+.f64 (neg.f64 x) eps) #s(literal 2 binary64)) (pow.f64 (neg.f64 x) #s(literal 2 binary64))))
(neg.f64 (-.f64 (pow.f64 (+.f64 eps (neg.f64 x)) #s(literal 2 binary64)) (pow.f64 (neg.f64 x) #s(literal 2 binary64))))
(+.f64 (neg.f64 (pow.f64 (-.f64 eps x) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (-.f64 eps x) #s(literal 2 binary64)))
(*.f64 eps (-.f64 (*.f64 x #s(literal 2 binary64)) eps))
(neg.f64 (-.f64 (pow.f64 (+.f64 x (neg.f64 eps)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(neg.f64 (-.f64 (pow.f64 (+.f64 eps (neg.f64 x)) #s(literal 2 binary64)) (pow.f64 (neg.f64 x) #s(literal 2 binary64))))
(+.f64 (neg.f64 (pow.f64 (-.f64 eps x) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (-.f64 eps x) #s(literal 2 binary64)))
(*.f64 eps (-.f64 (*.f64 x #s(literal 2 binary64)) eps))
(-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) eps)))
(*.f64 x (+.f64 x (*.f64 eps #s(literal 2 binary64))))

explain130.0ms (2.4%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
610-0-(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
00-0-x
080(1.2631616194555365e-77 -3.1845005976194976e-88)0-(pow.f64 (+.f64 x eps) #s(literal 2 binary64))
00-0-(+.f64 x eps)
00-0-#s(literal 2 binary64)
00-0-(pow.f64 x #s(literal 2 binary64))
00-0-eps
Results
47.0ms388×256valid
23.0ms68×1024valid
12.0ms54×512valid
1.0ms2048valid
Compiler

Compiled 63 to 36 computations (42.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-pow: 37.0ms (75.1% of total)
ival-sub: 6.0ms (12.2% of total)
ival-add: 5.0ms (10.1% of total)
const: 2.0ms (4.1% of total)

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 #s(literal 2 binary64))))
Compiler

Compiled 9 to 6 computations (33.3% saved)

localize34.0ms (0.6%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
100.0%
(*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))
Results
25.0ms256×256valid
Compiler

Compiled 21 to 13 computations (38.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 12.0ms (80.2% of total)
ival-add: 3.0ms (20.1% of total)
const: 1.0ms (6.7% of total)

series8.0ms (0.1%)

Counts
1 → 24
Calls
Call 1
Inputs
#<alt (*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))>
Outputs
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<alt (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))>
#<alt (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))>
#<alt (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
Calls

6 calls:

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

rewrite207.0ms (3.8%)

Algorithm
batch-egg-rewrite
Rules
893×prod-diff
606×log1p-expm1-u
606×expm1-log1p-u
567×unpow-prod-down
307×log-prod
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01128
112024
2166824
Stop Event
node limit
Counts
1 → 56
Calls
Call 1
Inputs
(*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))
Outputs
(+.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(+.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (pow.f64 eps #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 x #s(literal 2 binary64) eps))) (cbrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 x #s(literal 2 binary64) eps))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 x #s(literal 2 binary64) eps)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 x #s(literal 2 binary64) eps)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 x #s(literal 2 binary64) eps)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 eps #s(literal 6 binary64)) (*.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 eps (*.f64 x #s(literal 2 binary64)))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 eps (*.f64 x #s(literal 2 binary64)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (*.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 eps (*.f64 x #s(literal 2 binary64))))) (-.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 eps (*.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 eps (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 2 binary64)) eps) (pow.f64 eps #s(literal 2 binary64))))
(/.f64 (*.f64 eps (-.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))) (+.f64 eps (*.f64 #s(literal -2 binary64) x)))
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64))) eps) (fma.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 2 binary64)) eps) (pow.f64 eps #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) eps) (+.f64 eps (*.f64 #s(literal -2 binary64) x)))
(pow.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 eps) (fma.f64 x #s(literal 2 binary64) eps)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)))))
(log.f64 (*.f64 (exp.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64)))) (exp.f64 (pow.f64 eps #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)))) #s(literal 2 binary64)))
(fma.f64 eps eps (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 eps (*.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 x (*.f64 #s(literal 2 binary64) eps) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (*.f64 x #s(literal 2 binary64)) eps (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 x #s(literal 2 binary64))) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) eps) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (*.f64 (cbrt.f64 eps) eps) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (*.f64 (cbrt.f64 eps) (*.f64 x #s(literal 2 binary64))) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) eps) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) eps) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (*.f64 x #s(literal 2 binary64))) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64)))) (cbrt.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))))) (cbrt.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64)))) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (*.f64 eps (sqrt.f64 eps)) (sqrt.f64 eps) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64)))) (sqrt.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64)))) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 eps)) (*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 eps)) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 (sqrt.f64 eps) (sqrt.f64 (*.f64 x #s(literal 2 binary64)))) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (*.f64 eps (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (cbrt.f64 eps) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (cbrt.f64 eps) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 eps)) (sqrt.f64 eps) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (*.f64 eps x) #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (*.f64 eps #s(literal 2 binary64)) x (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (*.f64 eps (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))) (cbrt.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (*.f64 eps (sqrt.f64 (*.f64 x #s(literal 2 binary64)))) (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 eps #s(literal 2 binary64)))

simplify92.0ms (1.7%)

Algorithm
egg-herbie
Rules
483×fma-neg
475×cancel-sign-sub-inv
444×fma-define
371×associate-/r*
361×distribute-lft-neg-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01782259
14132249
211472238
334692232
Stop Event
node limit
Counts
80 → 78
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(pow.f64 eps #s(literal 2 binary64))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(pow.f64 eps #s(literal 2 binary64))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(pow.f64 eps #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(+.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(+.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (pow.f64 eps #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 x #s(literal 2 binary64) eps))) (cbrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 x #s(literal 2 binary64) eps))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 x #s(literal 2 binary64) eps)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 x #s(literal 2 binary64) eps)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 x #s(literal 2 binary64) eps)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 eps #s(literal 6 binary64)) (*.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 eps (*.f64 x #s(literal 2 binary64)))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 eps (*.f64 x #s(literal 2 binary64)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (*.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 eps (*.f64 x #s(literal 2 binary64))))) (-.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 eps (*.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 eps (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 2 binary64)) eps) (pow.f64 eps #s(literal 2 binary64))))
(/.f64 (*.f64 eps (-.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))) (+.f64 eps (*.f64 #s(literal -2 binary64) x)))
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64))) eps) (fma.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 2 binary64)) eps) (pow.f64 eps #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) eps) (+.f64 eps (*.f64 #s(literal -2 binary64) x)))
(pow.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 eps) (fma.f64 x #s(literal 2 binary64) eps)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)))))
(log.f64 (*.f64 (exp.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64)))) (exp.f64 (pow.f64 eps #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)))) #s(literal 2 binary64)))
(fma.f64 eps eps (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 eps (*.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 x (*.f64 #s(literal 2 binary64) eps) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (*.f64 x #s(literal 2 binary64)) eps (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 x #s(literal 2 binary64))) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) eps) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (*.f64 (cbrt.f64 eps) eps) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (*.f64 (cbrt.f64 eps) (*.f64 x #s(literal 2 binary64))) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) eps) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) eps) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (*.f64 x #s(literal 2 binary64))) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64)))) (cbrt.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))))) (cbrt.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64)))) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (*.f64 eps (sqrt.f64 eps)) (sqrt.f64 eps) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64)))) (sqrt.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64)))) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 eps)) (*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 eps)) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 (sqrt.f64 eps) (sqrt.f64 (*.f64 x #s(literal 2 binary64)))) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (*.f64 eps (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (cbrt.f64 eps) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (cbrt.f64 eps) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 eps)) (sqrt.f64 eps) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (*.f64 eps x) #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (*.f64 eps #s(literal 2 binary64)) x (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (*.f64 eps (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))) (cbrt.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (*.f64 eps (sqrt.f64 (*.f64 x #s(literal 2 binary64)))) (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 eps #s(literal 2 binary64)))
Outputs
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(pow.f64 eps #s(literal 2 binary64))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(pow.f64 eps #s(literal 2 binary64))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(pow.f64 eps #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(+.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(+.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(+.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(+.f64 #s(literal 0 binary64) (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 x #s(literal 2 binary64) eps))) (cbrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 x #s(literal 2 binary64) eps))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 x #s(literal 2 binary64) eps)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 #s(literal 2 binary64) x eps))) (cbrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 #s(literal 2 binary64) x eps))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 #s(literal 2 binary64) x eps)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 x #s(literal 2 binary64) eps)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 x #s(literal 2 binary64) eps)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 x #s(literal 2 binary64) eps)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 #s(literal 2 binary64) x eps)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)))) #s(literal 1 binary64))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(/.f64 (+.f64 (pow.f64 eps #s(literal 6 binary64)) (*.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 eps (*.f64 x #s(literal 2 binary64)))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 eps (*.f64 x #s(literal 2 binary64)))))))
(/.f64 (+.f64 (pow.f64 eps #s(literal 6 binary64)) (*.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64))) (+.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)) (-.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)) (pow.f64 eps #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 6 binary64))) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 eps x) (*.f64 eps (-.f64 (*.f64 #s(literal 2 binary64) x) eps)))) (pow.f64 eps #s(literal 4 binary64))))
(/.f64 (fma.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 6 binary64))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 x (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) eps)) (pow.f64 eps #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 6 binary64))) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 4 binary64) (*.f64 eps #s(literal -2 binary64)))) (pow.f64 eps #s(literal 4 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (*.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 eps (*.f64 x #s(literal 2 binary64))))) (-.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 eps (*.f64 x #s(literal 2 binary64)))))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(/.f64 (*.f64 eps (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 2 binary64)) eps) (pow.f64 eps #s(literal 2 binary64))))
(*.f64 eps (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (*.f64 #s(literal 2 binary64) x) eps) (pow.f64 eps #s(literal 2 binary64)))))
(*.f64 eps (/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 x (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) eps)) (pow.f64 eps #s(literal 2 binary64)))))
(/.f64 (*.f64 eps (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 eps eps (*.f64 x (fma.f64 x #s(literal 4 binary64) (*.f64 eps #s(literal -2 binary64))))))
(/.f64 (*.f64 eps (-.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))) (+.f64 eps (*.f64 #s(literal -2 binary64) x)))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64))) eps) (fma.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 2 binary64)) eps) (pow.f64 eps #s(literal 2 binary64))))
(*.f64 eps (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (*.f64 #s(literal 2 binary64) x) eps) (pow.f64 eps #s(literal 2 binary64)))))
(*.f64 eps (/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 x (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) eps)) (pow.f64 eps #s(literal 2 binary64)))))
(/.f64 (*.f64 eps (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 eps eps (*.f64 x (fma.f64 x #s(literal 4 binary64) (*.f64 eps #s(literal -2 binary64))))))
(/.f64 (*.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) eps) (+.f64 eps (*.f64 #s(literal -2 binary64) x)))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(pow.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)) #s(literal 1 binary64))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 3 binary64))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 2 binary64))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)) #s(literal 2 binary64)))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(log.f64 (pow.f64 (exp.f64 eps) (fma.f64 x #s(literal 2 binary64) eps)))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)))))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(log.f64 (*.f64 (exp.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64)))) (exp.f64 (pow.f64 eps #s(literal 2 binary64)))))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)) #s(literal 3 binary64)))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 1 binary64)))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)))) #s(literal 3 binary64)))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)))) #s(literal 1/3 binary64)))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)))) #s(literal 2 binary64)))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 eps eps (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 eps (*.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 x (*.f64 #s(literal 2 binary64) eps) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 #s(literal 2 binary64) (*.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (*.f64 x #s(literal 2 binary64)) eps (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 x #s(literal 2 binary64))) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) eps) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 eps (cbrt.f64 (*.f64 #s(literal 2 binary64) x))) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (+.f64 eps (*.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (cbrt.f64 (*.f64 #s(literal 2 binary64) x)))))
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (*.f64 (cbrt.f64 eps) eps) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (*.f64 (cbrt.f64 eps) (*.f64 x #s(literal 2 binary64))) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) eps) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) eps) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (*.f64 x #s(literal 2 binary64))) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64)))) (cbrt.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))))) (cbrt.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64)))) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (*.f64 eps (sqrt.f64 eps)) (sqrt.f64 eps) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (sqrt.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64)))) (sqrt.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64)))) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 eps)) (*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 eps)) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 (sqrt.f64 eps) (sqrt.f64 (*.f64 x #s(literal 2 binary64)))) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (*.f64 eps (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (cbrt.f64 eps) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (cbrt.f64 eps) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 eps)) (sqrt.f64 eps) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (*.f64 eps x) #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (*.f64 eps #s(literal 2 binary64)) x (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (*.f64 eps (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))) (cbrt.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 eps (cbrt.f64 (*.f64 #s(literal 2 binary64) x))) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (+.f64 eps (*.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (cbrt.f64 (*.f64 #s(literal 2 binary64) x)))))
(fma.f64 (*.f64 eps (sqrt.f64 (*.f64 x #s(literal 2 binary64)))) (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))

eval53.0ms (1%)

Compiler

Compiled 1082 to 703 computations (35% saved)

prune12.0ms (0.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New74478
Fresh000
Picked011
Done000
Total74579
Accuracy
100.0%
Counts
79 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 eps eps (*.f64 eps (*.f64 x #s(literal 2 binary64))))
87.5%
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
100.0%
(*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))
59.9%
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
59.8%
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
Compiler

Compiled 46 to 32 computations (30.4% saved)

localize178.0ms (3.3%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
100.0%
(fma.f64 eps eps (*.f64 eps (*.f64 x #s(literal 2 binary64))))
100.0%
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps)))
87.5%
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
100.0%
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
Results
139.0ms256×256valid
Compiler

Compiled 77 to 41 computations (46.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 117.0ms
ival-mult: 93.0ms (79.8% of total)
ival-pow: 12.0ms (10.3% of total)
ival-add: 4.0ms (3.4% of total)
<compiled-spec>: 3.0ms (2.6% of total)
ival-div: 2.0ms (1.7% of total)
const: 2.0ms (1.7% of total)

series85.0ms (1.6%)

Counts
4 → 57
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps)))>
#<alt (fma.f64 eps eps (*.f64 eps (*.f64 x #s(literal 2 binary64))))>
Outputs
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<alt (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))>
#<alt (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))>
#<alt (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
#<alt #s(literal 1 binary64)>
#<alt (*.f64 #s(literal 2 binary64) (/.f64 x eps))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal 2 binary64) (/.f64 x eps))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal 2 binary64) (/.f64 x eps))>
#<alt (/.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) eps)>
#<alt (/.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) eps)>
#<alt (/.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) eps)>
#<alt #s(literal 1 binary64)>
#<alt #s(literal 1 binary64)>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<alt (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))>
#<alt (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))>
#<alt (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
Calls

24 calls:

TimeVariablePointExpression
75.0ms
eps
@inf
(+ (* eps eps) (* eps (* x 2)))
1.0ms
eps
@inf
(* 2 (* eps x))
1.0ms
x
@0
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
1.0ms
eps
@0
(* 2 (* eps x))
1.0ms
x
@inf
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))

rewrite138.0ms (2.6%)

Algorithm
batch-egg-rewrite
Rules
754×log1p-expm1-u
754×expm1-log1p-u
731×log-prod
433×fma-define
211×expm1-undefine
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
020117
1284104
23504104
Stop Event
node limit
Counts
4 → 178
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps)))
(fma.f64 eps eps (*.f64 eps (*.f64 x #s(literal 2 binary64))))
Outputs
(+.f64 (*.f64 eps x) (*.f64 eps x))
(+.f64 #s(literal 0 binary64) (*.f64 x (*.f64 #s(literal 2 binary64) eps)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) #s(literal 2 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) #s(literal 2 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) #s(literal 2 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) #s(literal 2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 #s(literal 2 binary64) eps)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) eps)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 #s(literal 2 binary64) eps))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 #s(literal 2 binary64) eps))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) eps)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 #s(literal 2 binary64) eps)))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) eps)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 #s(literal 2 binary64) eps))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 #s(literal 2 binary64) eps))))
(exp.f64 (log.f64 (*.f64 x (*.f64 #s(literal 2 binary64) eps))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 #s(literal 2 binary64) eps))) #s(literal 1 binary64)))
(+.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))))
(+.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))) (pow.f64 eps #s(literal 2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64))))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64))))))))
(/.f64 (-.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))))) (-.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64))))))
(/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 (pow.f64 (/.f64 x eps) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))) (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 x eps))))
(/.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 x eps) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 4 binary64))) (pow.f64 eps #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 x eps))))
(pow.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 eps (sqrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 eps #s(literal 2 binary64)))) (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))))))
(log.f64 (*.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64))))) (exp.f64 (pow.f64 eps #s(literal 2 binary64)))))
(log.f64 (*.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 eps #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 eps) (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)))))
(exp.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 eps) (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64))) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 eps eps (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))))
(fma.f64 eps eps (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 eps (*.f64 eps (*.f64 #s(literal 2 binary64) (/.f64 x eps))) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))))
(fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 x eps)) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (/.f64 x eps) (*.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64))) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) (pow.f64 eps #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 eps #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 eps #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (*.f64 (cbrt.f64 eps) eps) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (*.f64 (cbrt.f64 eps) eps) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 eps #s(literal 4 binary64))) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))))
(fma.f64 (cbrt.f64 (pow.f64 eps #s(literal 4 binary64))) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 eps #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))))
(fma.f64 (cbrt.f64 (pow.f64 eps #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 eps #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 x eps))) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps))) (pow.f64 eps #s(literal 2 binary64))) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps))) (pow.f64 eps #s(literal 2 binary64))) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) eps) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) eps) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64))))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64))))) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (*.f64 eps (sqrt.f64 eps)) (sqrt.f64 eps) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))))
(fma.f64 (*.f64 eps (sqrt.f64 eps)) (sqrt.f64 eps) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64))))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64))))) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps))) eps) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps))) eps) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (*.f64 eps (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)))) (*.f64 eps (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)))) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) eps) eps (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) (cbrt.f64 (pow.f64 eps #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (*.f64 eps (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (cbrt.f64 eps) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))))
(fma.f64 (*.f64 eps (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (cbrt.f64 eps) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 x eps)) #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps))) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps))) (pow.f64 eps #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 x eps)))) (/.f64 (*.f64 (pow.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 x eps)))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))))
(*.f64 (fma.f64 (pow.f64 (/.f64 x eps) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal -1 binary64)) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 x eps)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 x eps) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 x eps))) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 4 binary64)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 x eps) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (pow.f64 (/.f64 x eps) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 x eps)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 x eps))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 x eps) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 4 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 x eps)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal -1 binary64)))
(pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))))
(exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(exp.f64 (*.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps))) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))
(fma.f64 x (/.f64 #s(literal 2 binary64) eps) #s(literal 1 binary64))
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps)) #s(literal 1 binary64))
(fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x eps)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 x eps)) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps))) (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps))) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps))) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) eps) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (/.f64 x eps)) (*.f64 (sqrt.f64 (/.f64 x eps)) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) eps) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 eps)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 eps)) (/.f64 x (sqrt.f64 eps)) #s(literal 1 binary64))
(fma.f64 (/.f64 x (sqrt.f64 eps)) (/.f64 #s(literal 2 binary64) (sqrt.f64 eps)) #s(literal 1 binary64))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) eps) #s(literal 1 binary64))
(fma.f64 (/.f64 x (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (cbrt.f64 eps)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) x) (cbrt.f64 eps)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 eps)) (/.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 eps)) #s(literal 1 binary64))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) eps) #s(literal 1 binary64))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps))) #s(literal 1 binary64))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (sqrt.f64 eps)) (/.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 eps)) #s(literal 1 binary64))
(fma.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) eps) #s(literal 1 binary64))
(fma.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (cbrt.f64 eps)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (/.f64 x eps)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x eps)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x eps))) (sqrt.f64 (/.f64 x eps)) #s(literal 1 binary64))
(+.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (*.f64 #s(literal 2 binary64) eps)))
(+.f64 (*.f64 x (*.f64 #s(literal 2 binary64) eps)) (pow.f64 eps #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))))) (cbrt.f64 (exp.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))))) #s(literal 1 binary64))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
(*.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (pow.f64 (cbrt.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(*.f64 (hypot.f64 eps (sqrt.f64 (*.f64 x (*.f64 #s(literal 2 binary64) eps)))) (hypot.f64 eps (sqrt.f64 (*.f64 x (*.f64 #s(literal 2 binary64) eps)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) eps)) #s(literal 3 binary64))) (+.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) eps)) #s(literal 2 binary64)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (*.f64 #s(literal 2 binary64) eps))))))
(/.f64 (-.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) eps)) #s(literal 2 binary64))) (-.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (*.f64 #s(literal 2 binary64) eps))))
(pow.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 eps (sqrt.f64 (*.f64 x (*.f64 #s(literal 2 binary64) eps)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(log.f64 (*.f64 (exp.f64 (pow.f64 eps #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 #s(literal 2 binary64) eps))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 eps #s(literal 2 binary64)))) (pow.f64 (pow.f64 (exp.f64 eps) x) #s(literal 2 binary64))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 eps #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 #s(literal 2 binary64) eps))))))
(log.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) #s(literal 2 binary64)) (exp.f64 (pow.f64 eps #s(literal 2 binary64)))))
(log.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 eps #s(literal 2 binary64))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 #s(literal 2 binary64) eps)))) (exp.f64 (pow.f64 eps #s(literal 2 binary64)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 #s(literal 2 binary64) eps)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 eps #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(log1p.f64 (expm1.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(exp.f64 (log.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) #s(literal 1 binary64)))

simplify132.0ms (2.5%)

Algorithm
egg-herbie
Rules
522×distribute-lft-in
487×distribute-rgt-in
385×associate-*r/
346×associate-*l/
265×cancel-sign-sub-inv
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04138941
18848066
226847952
Stop Event
node limit
Counts
235 → 229
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
#s(literal 1 binary64)
(*.f64 #s(literal 2 binary64) (/.f64 x eps))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 2 binary64) (/.f64 x eps))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 2 binary64) (/.f64 x eps))
(/.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) eps)
(/.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) eps)
(/.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) eps)
#s(literal 1 binary64)
#s(literal 1 binary64)
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
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(*.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))))
(*.f64 (fma.f64 (pow.f64 (/.f64 x eps) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal -1 binary64)) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 x eps)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 x eps) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 x eps))) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 4 binary64)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 x eps) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (pow.f64 (/.f64 x eps) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 x eps)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 x eps))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 x eps) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 4 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 x eps)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal -1 binary64)))
(pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))))
(exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(exp.f64 (*.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps))) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))
(fma.f64 x (/.f64 #s(literal 2 binary64) eps) #s(literal 1 binary64))
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps)) #s(literal 1 binary64))
(fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x eps)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 x eps)) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps))) (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps))) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps))) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) eps) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (/.f64 x eps)) (*.f64 (sqrt.f64 (/.f64 x eps)) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) eps) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 eps)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 eps)) (/.f64 x (sqrt.f64 eps)) #s(literal 1 binary64))
(fma.f64 (/.f64 x (sqrt.f64 eps)) (/.f64 #s(literal 2 binary64) (sqrt.f64 eps)) #s(literal 1 binary64))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) eps) #s(literal 1 binary64))
(fma.f64 (/.f64 x (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (cbrt.f64 eps)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) x) (cbrt.f64 eps)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 eps)) (/.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 eps)) #s(literal 1 binary64))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) eps) #s(literal 1 binary64))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps))) #s(literal 1 binary64))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (sqrt.f64 eps)) (/.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 eps)) #s(literal 1 binary64))
(fma.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) eps) #s(literal 1 binary64))
(fma.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (cbrt.f64 eps)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (/.f64 x eps)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x eps)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x eps))) (sqrt.f64 (/.f64 x eps)) #s(literal 1 binary64))
(+.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (*.f64 #s(literal 2 binary64) eps)))
(+.f64 (*.f64 x (*.f64 #s(literal 2 binary64) eps)) (pow.f64 eps #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))))) (cbrt.f64 (exp.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))))) #s(literal 1 binary64))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
(*.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (pow.f64 (cbrt.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(*.f64 (hypot.f64 eps (sqrt.f64 (*.f64 x (*.f64 #s(literal 2 binary64) eps)))) (hypot.f64 eps (sqrt.f64 (*.f64 x (*.f64 #s(literal 2 binary64) eps)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) eps)) #s(literal 3 binary64))) (+.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) eps)) #s(literal 2 binary64)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (*.f64 #s(literal 2 binary64) eps))))))
(/.f64 (-.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) eps)) #s(literal 2 binary64))) (-.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (*.f64 #s(literal 2 binary64) eps))))
(pow.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 eps (sqrt.f64 (*.f64 x (*.f64 #s(literal 2 binary64) eps)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(log.f64 (*.f64 (exp.f64 (pow.f64 eps #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 #s(literal 2 binary64) eps))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 eps #s(literal 2 binary64)))) (pow.f64 (pow.f64 (exp.f64 eps) x) #s(literal 2 binary64))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 eps #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 #s(literal 2 binary64) eps))))))
(log.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) #s(literal 2 binary64)) (exp.f64 (pow.f64 eps #s(literal 2 binary64)))))
(log.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 eps #s(literal 2 binary64))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 #s(literal 2 binary64) eps)))) (exp.f64 (pow.f64 eps #s(literal 2 binary64)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 #s(literal 2 binary64) eps)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 eps #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(log1p.f64 (expm1.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(exp.f64 (log.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 x (fma.f64 #s(literal 2 binary64) eps (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 x (fma.f64 #s(literal 2 binary64) eps (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 x (fma.f64 #s(literal 2 binary64) eps (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(*.f64 x (fma.f64 #s(literal 2 binary64) eps (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(*.f64 x (fma.f64 #s(literal 2 binary64) eps (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(*.f64 x (fma.f64 #s(literal 2 binary64) eps (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
#s(literal 1 binary64)
(*.f64 #s(literal 2 binary64) (/.f64 x eps))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) eps)))
(fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) eps)))
(fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) eps)))
(fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 x eps))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) eps)))
(fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) eps)))
(fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) eps)))
(fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 x eps))
(/.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) eps)
(/.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
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(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps))) #s(literal 1 binary64))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) eps)))
(fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) eps) #s(literal 1 binary64))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) eps)))
(fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 eps)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 eps)) (/.f64 x (sqrt.f64 eps)) #s(literal 1 binary64))
(fma.f64 (/.f64 x (sqrt.f64 eps)) (/.f64 #s(literal 2 binary64) (sqrt.f64 eps)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 eps)) (/.f64 x (sqrt.f64 eps)) #s(literal 1 binary64))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) eps) #s(literal 1 binary64))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) eps)))
(fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))
(fma.f64 (/.f64 x (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (cbrt.f64 eps)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 eps)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) x) (cbrt.f64 eps)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 eps)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 eps)) (/.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 eps)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 eps)) (/.f64 x (sqrt.f64 eps)) #s(literal 1 binary64))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) eps) #s(literal 1 binary64))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) eps)))
(fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps))) #s(literal 1 binary64))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (sqrt.f64 eps)) (/.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 eps)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 eps)) (/.f64 x (sqrt.f64 eps)) #s(literal 1 binary64))
(fma.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) eps) #s(literal 1 binary64))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) eps)))
(fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))
(fma.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (cbrt.f64 eps)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 eps)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (/.f64 x eps)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x eps)) #s(literal 1 binary64))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) eps)))
(fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x eps))) (sqrt.f64 (/.f64 x eps)) #s(literal 1 binary64))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) eps)))
(fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))
(+.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (*.f64 #s(literal 2 binary64) eps)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(+.f64 (*.f64 x (*.f64 #s(literal 2 binary64) eps)) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(+.f64 #s(literal 0 binary64) (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))))) (cbrt.f64 (exp.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (cbrt.f64 (pow.f64 (exp.f64 eps) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 #s(literal 2 binary64) x eps))) (cbrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 #s(literal 2 binary64) x eps))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 #s(literal 2 binary64) x eps)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 #s(literal 2 binary64) x eps)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))))) #s(literal 1 binary64))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 (cbrt.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (pow.f64 (cbrt.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) #s(literal 2 binary64)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 (hypot.f64 eps (sqrt.f64 (*.f64 x (*.f64 #s(literal 2 binary64) eps)))) (hypot.f64 eps (sqrt.f64 (*.f64 x (*.f64 #s(literal 2 binary64) eps)))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(/.f64 (+.f64 (pow.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) eps)) #s(literal 3 binary64))) (+.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) eps)) #s(literal 2 binary64)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (*.f64 #s(literal 2 binary64) eps))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) #s(literal 2 binary64)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 eps x))))))
(/.f64 (+.f64 (*.f64 #s(literal 8 binary64) (pow.f64 (*.f64 eps x) #s(literal 3 binary64))) (pow.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 eps #s(literal 3 binary64))))))
(/.f64 (+.f64 (*.f64 #s(literal 8 binary64) (pow.f64 (*.f64 eps x) #s(literal 3 binary64))) (pow.f64 eps #s(literal 6 binary64))) (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) #s(literal 2 binary64)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) x) eps))))
(/.f64 (-.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) eps)) #s(literal 2 binary64))) (-.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (*.f64 #s(literal 2 binary64) eps))))
(/.f64 (-.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) #s(literal 2 binary64))) (-.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 eps x))))
(/.f64 (-.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) #s(literal 2 binary64))) (*.f64 eps (-.f64 eps (*.f64 #s(literal 2 binary64) x))))
(/.f64 (-.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) #s(literal 2 binary64))) (*.f64 eps (+.f64 eps (*.f64 x #s(literal -2 binary64)))))
(pow.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(pow.f64 (cbrt.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) #s(literal 3 binary64))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(pow.f64 (pow.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(pow.f64 (hypot.f64 eps (sqrt.f64 (*.f64 x (*.f64 #s(literal 2 binary64) eps)))) #s(literal 2 binary64))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(sqrt.f64 (pow.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(log.f64 (exp.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(log.f64 (*.f64 (exp.f64 (pow.f64 eps #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 #s(literal 2 binary64) eps))))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 eps #s(literal 2 binary64)))) (pow.f64 (pow.f64 (exp.f64 eps) x) #s(literal 2 binary64))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 eps #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 #s(literal 2 binary64) eps))))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(log.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) #s(literal 2 binary64)) (exp.f64 (pow.f64 eps #s(literal 2 binary64)))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(log.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 eps #s(literal 2 binary64))))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 #s(literal 2 binary64) eps)))) (exp.f64 (pow.f64 eps #s(literal 2 binary64)))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 #s(literal 2 binary64) eps)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 eps #s(literal 2 binary64))))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(cbrt.f64 (pow.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(expm1.f64 (log1p.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(log1p.f64 (expm1.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(exp.f64 (log.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) #s(literal 1 binary64)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))

eval143.0ms (2.7%)

Compiler

Compiled 3793 to 2469 computations (34.9% saved)

prune141.0ms (2.6%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New2281229
Fresh000
Picked134
Done011
Total2295234
Accuracy
100.0%
Counts
234 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 eps eps (*.f64 eps (*.f64 x #s(literal 2 binary64))))
99.8%
(*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
100.0%
(*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))
59.9%
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
59.8%
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
Compiler

Compiled 44 to 29 computations (34.1% saved)

localize40.0ms (0.7%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
99.8%
(*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
99.8%
(*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
Results
27.0ms256×256valid
Compiler

Compiled 30 to 14 computations (53.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-div: 6.0ms (39.3% of total)
ival-mult: 5.0ms (32.8% of total)
ival-add: 4.0ms (26.2% of total)
const: 1.0ms (6.6% of total)

series7.0ms (0.1%)

Counts
2 → 45
Calls
Call 1
Inputs
#<alt (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))>
#<alt (*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))>
Outputs
#<alt (*.f64 #s(literal 2 binary64) eps)>
#<alt (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64))) x)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64))) x)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64))) x)>
#<alt (*.f64 #s(literal 2 binary64) eps)>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal 2 binary64) eps)>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<alt (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))>
#<alt (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))>
#<alt (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))>
Calls

12 calls:

TimeVariablePointExpression
2.0ms
eps
@0
(* eps (+ 2 (/ eps x)))
1.0ms
eps
@-inf
(* eps (+ 2 (/ eps x)))
0.0ms
x
@-inf
(* x (* eps (+ 2 (/ eps x))))
0.0ms
eps
@inf
(* eps (+ 2 (/ eps x)))
0.0ms
x
@0
(* x (* eps (+ 2 (/ eps x))))

rewrite113.0ms (2.1%)

Algorithm
batch-egg-rewrite
Rules
838×log1p-expm1-u
838×expm1-log1p-u
439×log-prod
247×prod-diff
160×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01265
115465
2226065
Stop Event
node limit
Counts
2 → 92
Calls
Call 1
Inputs
(*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
(*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
Outputs
(+.f64 (*.f64 eps #s(literal 2 binary64)) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(+.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (*.f64 eps #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
(+.f64 (*.f64 (*.f64 eps #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) #s(literal 1 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 2 binary64) (/.f64 eps x))) eps)) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 2 binary64) (/.f64 eps x))) eps)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 2 binary64) (/.f64 eps x))) eps))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 2 binary64) (/.f64 eps x))) eps))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 2 binary64) (/.f64 eps x))) eps))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) #s(literal 3 binary64))) (fma.f64 (*.f64 eps #s(literal 2 binary64)) (*.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (*.f64 (*.f64 eps #s(literal 2 binary64)) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(/.f64 (-.f64 (*.f64 (*.f64 eps #s(literal 2 binary64)) (*.f64 eps #s(literal 2 binary64))) (*.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) (-.f64 (*.f64 eps #s(literal 2 binary64)) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(/.f64 (*.f64 eps (+.f64 (pow.f64 (/.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 (/.f64 eps x) (-.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal 4 binary64)))
(/.f64 (*.f64 eps (-.f64 #s(literal 4 binary64) (pow.f64 (/.f64 eps x) #s(literal 2 binary64)))) (-.f64 #s(literal 2 binary64) (/.f64 eps x)))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64)) eps) (fma.f64 (/.f64 eps x) (-.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal 4 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (/.f64 eps x) #s(literal 2 binary64))) eps) (-.f64 #s(literal 2 binary64) (/.f64 eps x)))
(pow.f64 (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 2 binary64) (/.f64 eps x))) eps))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))))
(log.f64 (*.f64 (exp.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (exp.f64 (*.f64 eps #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) (/.f64 eps x)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (/.f64 eps x)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))))
(log1p.f64 (expm1.f64 (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))))
(exp.f64 (log.f64 (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))) #s(literal 2 binary64)))
(fma.f64 eps #s(literal 2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(fma.f64 eps (/.f64 eps x) (*.f64 eps #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) eps (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(fma.f64 (/.f64 eps x) eps (*.f64 eps #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 eps #s(literal 2 binary64)) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(fma.f64 #s(literal 1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (*.f64 eps #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 eps x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 eps x)) eps) (*.f64 eps #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (*.f64 (cbrt.f64 eps) (/.f64 eps x)) (*.f64 eps #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (*.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(fma.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x) (*.f64 eps #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (/.f64 eps x)) (*.f64 (sqrt.f64 (/.f64 eps x)) eps) (*.f64 eps #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (/.f64 eps x)) (*.f64 eps #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) #s(literal 2 binary64)) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(fma.f64 (*.f64 eps #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) #s(literal 1 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (cbrt.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) (cbrt.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (*.f64 eps #s(literal 2 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 eps #s(literal 2 binary64))) (cbrt.f64 (*.f64 eps #s(literal 2 binary64)))) (cbrt.f64 (*.f64 eps #s(literal 2 binary64))) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(fma.f64 (sqrt.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (sqrt.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (*.f64 eps #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 eps #s(literal 2 binary64))) (sqrt.f64 (*.f64 eps #s(literal 2 binary64))) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 eps x)) (sqrt.f64 eps)) (*.f64 (sqrt.f64 (/.f64 eps x)) (sqrt.f64 eps)) (*.f64 eps #s(literal 2 binary64)))
(fma.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 (/.f64 eps x))) (*.f64 (sqrt.f64 eps) (sqrt.f64 (/.f64 eps x))) (*.f64 eps #s(literal 2 binary64)))
(fma.f64 (*.f64 (/.f64 eps x) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (cbrt.f64 eps) (*.f64 eps #s(literal 2 binary64)))
(fma.f64 (*.f64 (/.f64 eps x) (sqrt.f64 eps)) (sqrt.f64 eps) (*.f64 eps #s(literal 2 binary64)))
(fma.f64 (*.f64 eps (pow.f64 (cbrt.f64 (/.f64 eps x)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 eps x)) (*.f64 eps #s(literal 2 binary64)))
(fma.f64 (*.f64 eps (sqrt.f64 (/.f64 eps x))) (sqrt.f64 (/.f64 eps x)) (*.f64 eps #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (cbrt.f64 eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 eps)) (sqrt.f64 eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(+.f64 #s(literal 0 binary64) (*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))))
(+.f64 (*.f64 x (*.f64 eps #s(literal 2 binary64))) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(+.f64 (*.f64 (*.f64 eps x) #s(literal 2 binary64)) (*.f64 (*.f64 eps x) (/.f64 eps x)))
(+.f64 (*.f64 (*.f64 eps x) (/.f64 eps x)) (*.f64 (*.f64 eps x) #s(literal 2 binary64)))
(+.f64 (*.f64 (*.f64 eps #s(literal 2 binary64)) x) (*.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) x))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (*.f64 (/.f64 eps x) (*.f64 eps x)))
(+.f64 (*.f64 (/.f64 eps x) (*.f64 eps x)) (*.f64 #s(literal 2 binary64) (*.f64 eps x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 2 binary64) (/.f64 eps x))) (*.f64 eps x))) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 2 binary64) (/.f64 eps x))) (*.f64 eps x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 2 binary64) (/.f64 eps x))) (*.f64 eps x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 2 binary64) (/.f64 eps x))) (*.f64 eps x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 2 binary64) (/.f64 eps x))) (*.f64 eps x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 eps x) (+.f64 (pow.f64 (/.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 (/.f64 eps x) (-.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal 4 binary64)))
(/.f64 (*.f64 (*.f64 eps x) (-.f64 #s(literal 4 binary64) (pow.f64 (/.f64 eps x) #s(literal 2 binary64)))) (-.f64 #s(literal 2 binary64) (/.f64 eps x)))
(pow.f64 (*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 2 binary64) (/.f64 eps x))) (*.f64 eps x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))))
(exp.f64 (log.f64 (*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))))) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 eps x) (*.f64 (/.f64 eps x) (*.f64 eps x)))
(fma.f64 x (*.f64 eps #s(literal 2 binary64)) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(fma.f64 (/.f64 eps x) (*.f64 eps x) (*.f64 #s(literal 2 binary64) (*.f64 eps x)))
(fma.f64 (*.f64 eps #s(literal 2 binary64)) x (*.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) x))
(fma.f64 (*.f64 eps x) #s(literal 2 binary64) (*.f64 (*.f64 eps x) (/.f64 eps x)))
(fma.f64 (*.f64 eps x) (/.f64 eps x) (*.f64 (*.f64 eps x) #s(literal 2 binary64)))

simplify127.0ms (2.4%)

Algorithm
egg-herbie
Rules
690×fma-define
413×fma-neg
350×distribute-lft-in
336×cancel-sign-sub-inv
330×distribute-rgt-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02565145
15824929
216114868
354204124
Stop Event
node limit
Counts
137 → 133
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) eps)
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64))) x)
(/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64))) x)
(/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64))) x)
(*.f64 #s(literal 2 binary64) eps)
(+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 #s(literal 2 binary64) eps)
(+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(pow.f64 eps #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(pow.f64 eps #s(literal 2 binary64))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(pow.f64 eps #s(literal 2 binary64))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(+.f64 (*.f64 eps #s(literal 2 binary64)) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(+.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (*.f64 eps #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
(+.f64 (*.f64 (*.f64 eps #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) #s(literal 1 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 2 binary64) (/.f64 eps x))) eps)) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 2 binary64) (/.f64 eps x))) eps)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 2 binary64) (/.f64 eps x))) eps))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 2 binary64) (/.f64 eps x))) eps))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 2 binary64) (/.f64 eps x))) eps))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) #s(literal 3 binary64))) (fma.f64 (*.f64 eps #s(literal 2 binary64)) (*.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (*.f64 (*.f64 eps #s(literal 2 binary64)) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(/.f64 (-.f64 (*.f64 (*.f64 eps #s(literal 2 binary64)) (*.f64 eps #s(literal 2 binary64))) (*.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) (-.f64 (*.f64 eps #s(literal 2 binary64)) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(/.f64 (*.f64 eps (+.f64 (pow.f64 (/.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 (/.f64 eps x) (-.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal 4 binary64)))
(/.f64 (*.f64 eps (-.f64 #s(literal 4 binary64) (pow.f64 (/.f64 eps x) #s(literal 2 binary64)))) (-.f64 #s(literal 2 binary64) (/.f64 eps x)))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64)) eps) (fma.f64 (/.f64 eps x) (-.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal 4 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (/.f64 eps x) #s(literal 2 binary64))) eps) (-.f64 #s(literal 2 binary64) (/.f64 eps x)))
(pow.f64 (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 2 binary64) (/.f64 eps x))) eps))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))))
(log.f64 (*.f64 (exp.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (exp.f64 (*.f64 eps #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) (/.f64 eps x)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (/.f64 eps x)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))))
(log1p.f64 (expm1.f64 (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))))
(exp.f64 (log.f64 (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))) #s(literal 2 binary64)))
(fma.f64 eps #s(literal 2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(fma.f64 eps (/.f64 eps x) (*.f64 eps #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) eps (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(fma.f64 (/.f64 eps x) eps (*.f64 eps #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 eps #s(literal 2 binary64)) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(fma.f64 #s(literal 1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (*.f64 eps #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 eps x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 eps x)) eps) (*.f64 eps #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (*.f64 (cbrt.f64 eps) (/.f64 eps x)) (*.f64 eps #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (*.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(fma.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x) (*.f64 eps #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (/.f64 eps x)) (*.f64 (sqrt.f64 (/.f64 eps x)) eps) (*.f64 eps #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (/.f64 eps x)) (*.f64 eps #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) #s(literal 2 binary64)) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(fma.f64 (*.f64 eps #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) #s(literal 1 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (cbrt.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) (cbrt.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (*.f64 eps #s(literal 2 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 eps #s(literal 2 binary64))) (cbrt.f64 (*.f64 eps #s(literal 2 binary64)))) (cbrt.f64 (*.f64 eps #s(literal 2 binary64))) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(fma.f64 (sqrt.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (sqrt.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (*.f64 eps #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 eps #s(literal 2 binary64))) (sqrt.f64 (*.f64 eps #s(literal 2 binary64))) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 eps x)) (sqrt.f64 eps)) (*.f64 (sqrt.f64 (/.f64 eps x)) (sqrt.f64 eps)) (*.f64 eps #s(literal 2 binary64)))
(fma.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 (/.f64 eps x))) (*.f64 (sqrt.f64 eps) (sqrt.f64 (/.f64 eps x))) (*.f64 eps #s(literal 2 binary64)))
(fma.f64 (*.f64 (/.f64 eps x) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (cbrt.f64 eps) (*.f64 eps #s(literal 2 binary64)))
(fma.f64 (*.f64 (/.f64 eps x) (sqrt.f64 eps)) (sqrt.f64 eps) (*.f64 eps #s(literal 2 binary64)))
(fma.f64 (*.f64 eps (pow.f64 (cbrt.f64 (/.f64 eps x)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 eps x)) (*.f64 eps #s(literal 2 binary64)))
(fma.f64 (*.f64 eps (sqrt.f64 (/.f64 eps x))) (sqrt.f64 (/.f64 eps x)) (*.f64 eps #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (cbrt.f64 eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 eps)) (sqrt.f64 eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(+.f64 #s(literal 0 binary64) (*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))))
(+.f64 (*.f64 x (*.f64 eps #s(literal 2 binary64))) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(+.f64 (*.f64 (*.f64 eps x) #s(literal 2 binary64)) (*.f64 (*.f64 eps x) (/.f64 eps x)))
(+.f64 (*.f64 (*.f64 eps x) (/.f64 eps x)) (*.f64 (*.f64 eps x) #s(literal 2 binary64)))
(+.f64 (*.f64 (*.f64 eps #s(literal 2 binary64)) x) (*.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) x))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (*.f64 (/.f64 eps x) (*.f64 eps x)))
(+.f64 (*.f64 (/.f64 eps x) (*.f64 eps x)) (*.f64 #s(literal 2 binary64) (*.f64 eps x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 2 binary64) (/.f64 eps x))) (*.f64 eps x))) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 2 binary64) (/.f64 eps x))) (*.f64 eps x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 2 binary64) (/.f64 eps x))) (*.f64 eps x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 2 binary64) (/.f64 eps x))) (*.f64 eps x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 2 binary64) (/.f64 eps x))) (*.f64 eps x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 eps x) (+.f64 (pow.f64 (/.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 (/.f64 eps x) (-.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal 4 binary64)))
(/.f64 (*.f64 (*.f64 eps x) (-.f64 #s(literal 4 binary64) (pow.f64 (/.f64 eps x) #s(literal 2 binary64)))) (-.f64 #s(literal 2 binary64) (/.f64 eps x)))
(pow.f64 (*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 2 binary64) (/.f64 eps x))) (*.f64 eps x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))))
(exp.f64 (log.f64 (*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))))) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 eps x) (*.f64 (/.f64 eps x) (*.f64 eps x)))
(fma.f64 x (*.f64 eps #s(literal 2 binary64)) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(fma.f64 (/.f64 eps x) (*.f64 eps x) (*.f64 #s(literal 2 binary64) (*.f64 eps x)))
(fma.f64 (*.f64 eps #s(literal 2 binary64)) x (*.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) x))
(fma.f64 (*.f64 eps x) #s(literal 2 binary64) (*.f64 (*.f64 eps x) (/.f64 eps x)))
(fma.f64 (*.f64 eps x) (/.f64 eps x) (*.f64 (*.f64 eps x) #s(literal 2 binary64)))
Outputs
(*.f64 #s(literal 2 binary64) eps)
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64))) x)
(/.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))) x)
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(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))) #s(literal 1 binary64)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))))) #s(literal 3 binary64)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))))) #s(literal 2 binary64)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 #s(literal 2 binary64) (*.f64 eps x) (*.f64 (/.f64 eps x) (*.f64 eps x)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 x (*.f64 eps #s(literal 2 binary64)) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (/.f64 eps x) (*.f64 eps x) (*.f64 #s(literal 2 binary64) (*.f64 eps x)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (*.f64 eps #s(literal 2 binary64)) x (*.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) x))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (*.f64 eps x) #s(literal 2 binary64) (*.f64 (*.f64 eps x) (/.f64 eps x)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (*.f64 eps x) (/.f64 eps x) (*.f64 (*.f64 eps x) #s(literal 2 binary64)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))

eval27.0ms (0.5%)

Compiler

Compiled 2034 to 1141 computations (43.9% saved)

prune39.0ms (0.7%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New1321133
Fresh000
Picked011
Done044
Total1326138
Accuracy
100.0%
Counts
138 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 eps eps (*.f64 eps (*.f64 x #s(literal 2 binary64))))
86.1%
(+.f64 (*.f64 (/.f64 eps x) (*.f64 eps x)) (*.f64 #s(literal 2 binary64) (*.f64 eps x)))
99.8%
(*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
100.0%
(*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))
59.9%
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
59.8%
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
Compiler

Compiled 59 to 37 computations (37.3% saved)

localize311.0ms (5.8%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
100.0%
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
100.0%
(+.f64 (*.f64 (/.f64 eps x) (*.f64 eps x)) (*.f64 #s(literal 2 binary64) (*.f64 eps x)))
86.1%
(*.f64 (/.f64 eps x) (*.f64 eps x))
Results
29.0ms256×256valid
Compiler

Compiled 37 to 12 computations (67.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 7.0ms (64.1% of total)
ival-div: 3.0ms (27.5% of total)
ival-add: 1.0ms (9.2% of total)
const: 1.0ms (9.2% of total)

series3.0ms (0.1%)

Counts
2 → 48
Calls
Call 1
Inputs
#<alt (*.f64 (/.f64 eps x) (*.f64 eps x))>
#<alt (+.f64 (*.f64 (/.f64 eps x) (*.f64 eps x)) (*.f64 #s(literal 2 binary64) (*.f64 eps x)))>
Outputs
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<alt (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))>
#<alt (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))>
#<alt (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
Calls

12 calls:

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

rewrite114.0ms (2.1%)

Algorithm
batch-egg-rewrite
Rules
958×log1p-expm1-u
958×expm1-log1p-u
549×log-prod
535×fma-define
225×fma-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01368
117365
2260365
Stop Event
node limit
Counts
2 → 114
Calls
Call 1
Inputs
(*.f64 (/.f64 eps x) (*.f64 eps x))
(+.f64 (*.f64 (/.f64 eps x) (*.f64 eps x)) (*.f64 #s(literal 2 binary64) (*.f64 eps x)))
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))) (cbrt.f64 (exp.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))) #s(literal 1 binary64))
(/.f64 (*.f64 eps x) (/.f64 x eps))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) x)
(/.f64 (neg.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (neg.f64 x))
(/.f64 (*.f64 (*.f64 eps x) (neg.f64 eps)) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 eps) (*.f64 eps x)) (neg.f64 x))
(/.f64 (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) #s(literal 1 binary64)) x)
(/.f64 (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(/.f64 (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
(exp.f64 (log.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (*.f64 x (+.f64 (/.f64 eps x) #s(literal 2 binary64)))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (*.f64 (*.f64 eps x) (-.f64 (/.f64 eps x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 eps x) (-.f64 (/.f64 eps x) #s(literal 2 binary64)))))
(*.f64 eps (*.f64 x (+.f64 (/.f64 eps x) #s(literal 2 binary64))))
(*.f64 x (fma.f64 eps (/.f64 eps x) (*.f64 eps #s(literal 2 binary64))))
(*.f64 x (fma.f64 eps #s(literal 2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 x (*.f64 eps (+.f64 (/.f64 eps x) #s(literal 2 binary64))))
(*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64)))
(*.f64 (*.f64 eps (*.f64 x (+.f64 (/.f64 eps x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 x (+.f64 (/.f64 eps x) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (*.f64 eps (*.f64 x (+.f64 (/.f64 eps x) #s(literal 2 binary64))))) (pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x (+.f64 (/.f64 eps x) #s(literal 2 binary64))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x (+.f64 (/.f64 eps x) #s(literal 2 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 eps (*.f64 x (+.f64 (/.f64 eps x) #s(literal 2 binary64))))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 eps x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 eps x)) (+.f64 (/.f64 eps x) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (*.f64 eps (*.f64 x (+.f64 (/.f64 eps x) #s(literal 2 binary64))))) (sqrt.f64 (*.f64 eps (*.f64 x (+.f64 (/.f64 eps x) #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 (*.f64 eps x)) (*.f64 (sqrt.f64 (*.f64 eps x)) (+.f64 (/.f64 eps x) #s(literal 2 binary64))))
(*.f64 (fma.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (pow.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps x) (-.f64 (/.f64 eps x) #s(literal 2 binary64)))))
(*.f64 (+.f64 (/.f64 eps x) #s(literal 2 binary64)) (*.f64 eps x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 2 binary64))) (fma.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 eps x) (-.f64 (/.f64 eps x) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (pow.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 3 binary64))) (fma.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (*.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (*.f64 eps (*.f64 x #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (pow.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 (*.f64 eps x) (-.f64 (/.f64 eps x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (pow.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) (neg.f64 (*.f64 (*.f64 eps x) (-.f64 (/.f64 eps x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 2 binary64))) (-.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
(pow.f64 (*.f64 eps (*.f64 x (+.f64 (/.f64 eps x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x (+.f64 (/.f64 eps x) #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (*.f64 x (+.f64 (/.f64 eps x) #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (*.f64 x (+.f64 (/.f64 eps x) #s(literal 2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps (*.f64 x (+.f64 (/.f64 eps x) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) (+.f64 (/.f64 eps x) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (*.f64 x (+.f64 (/.f64 eps x) #s(literal 2 binary64)))))))
(log.f64 (*.f64 (exp.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64)))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))) (pow.f64 (pow.f64 (exp.f64 eps) x) #s(literal 2 binary64))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64)))))))
(log.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))))) (exp.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))))
(cbrt.f64 (pow.f64 (*.f64 eps (*.f64 x (+.f64 (/.f64 eps x) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 eps (*.f64 x (+.f64 (/.f64 eps x) #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 eps (*.f64 x (+.f64 (/.f64 eps x) #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.f64 eps (*.f64 x (+.f64 (/.f64 eps x) #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (*.f64 x (+.f64 (/.f64 eps x) #s(literal 2 binary64))))) #s(literal 1 binary64)))
(fma.f64 eps (/.f64 (*.f64 eps x) x) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 eps (*.f64 x #s(literal 2 binary64)) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(fma.f64 eps (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 eps x)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 eps (*.f64 x (/.f64 eps x)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 x (*.f64 eps #s(literal 2 binary64)) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(fma.f64 (/.f64 eps x) (*.f64 eps x) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (*.f64 eps x) (/.f64 eps x) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (*.f64 eps x) #s(literal 2 binary64) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(fma.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 1 binary64) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal 2 binary64) (*.f64 eps x) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(fma.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(fma.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 eps x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 eps x)) (*.f64 eps x)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 eps x)) #s(literal 2 binary64)) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 eps x)) (/.f64 eps x)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) #s(literal 2 binary64)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64)))) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(fma.f64 (sqrt.f64 (/.f64 eps x)) (*.f64 (sqrt.f64 (/.f64 eps x)) (*.f64 eps x)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 eps x)) (*.f64 (sqrt.f64 (*.f64 eps x)) #s(literal 2 binary64)) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(fma.f64 (sqrt.f64 (*.f64 eps x)) (*.f64 (sqrt.f64 (*.f64 eps x)) (/.f64 eps x)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) (sqrt.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64)))) (sqrt.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64)))) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(fma.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) x (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (*.f64 eps #s(literal 2 binary64)) x (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(fma.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) (/.f64 #s(literal 1 binary64) x) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (/.f64 eps (sqrt.f64 x)) (/.f64 (*.f64 eps x) (sqrt.f64 x)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (/.f64 eps #s(literal 1 binary64)) (/.f64 (*.f64 eps x) x) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (/.f64 eps (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 eps x) (cbrt.f64 x)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (*.f64 #s(literal 2 binary64) x) eps (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (*.f64 eps x)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 eps x)) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 eps x))) (sqrt.f64 (*.f64 eps x)) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(fma.f64 (*.f64 (*.f64 eps #s(literal 2 binary64)) #s(literal 1 binary64)) x (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(fma.f64 (*.f64 (*.f64 eps #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(fma.f64 (*.f64 (*.f64 eps #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(fma.f64 (*.f64 (/.f64 eps x) x) eps (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (*.f64 (/.f64 eps x) (pow.f64 (cbrt.f64 (*.f64 eps x)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 eps x)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (*.f64 (/.f64 eps x) (sqrt.f64 (*.f64 eps x))) (sqrt.f64 (*.f64 eps x)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (*.f64 (*.f64 eps x) (pow.f64 (cbrt.f64 (/.f64 eps x)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 eps x)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (*.f64 (*.f64 eps x) (sqrt.f64 (/.f64 eps x))) (sqrt.f64 (/.f64 eps x)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (*.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) #s(literal 1 binary64)) x (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (*.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (*.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 eps (*.f64 x #s(literal 2 binary64))))

simplify106.0ms (2%)

Algorithm
egg-herbie
Rules
615×associate-/r*
400×*-commutative
332×distribute-lft-in
310×cancel-sign-sub-inv
305×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02785081
17044167
222824071
Stop Event
node limit
Counts
162 → 137
Calls
Call 1
Inputs
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(pow.f64 eps #s(literal 2 binary64))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(pow.f64 eps #s(literal 2 binary64))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(pow.f64 eps #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(+.f64 #s(literal 0 binary64) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))) (cbrt.f64 (exp.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))) #s(literal 1 binary64))
(/.f64 (*.f64 eps x) (/.f64 x eps))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) x)
(/.f64 (neg.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (neg.f64 x))
(/.f64 (*.f64 (*.f64 eps x) (neg.f64 eps)) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 eps) (*.f64 eps x)) (neg.f64 x))
(/.f64 (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) #s(literal 1 binary64)) x)
(/.f64 (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(/.f64 (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
(exp.f64 (log.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (*.f64 x (+.f64 (/.f64 eps x) #s(literal 2 binary64)))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (*.f64 (*.f64 eps x) (-.f64 (/.f64 eps x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 eps x) (-.f64 (/.f64 eps x) #s(literal 2 binary64)))))
(*.f64 eps (*.f64 x (+.f64 (/.f64 eps x) #s(literal 2 binary64))))
(*.f64 x (fma.f64 eps (/.f64 eps x) (*.f64 eps #s(literal 2 binary64))))
(*.f64 x (fma.f64 eps #s(literal 2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 x (*.f64 eps (+.f64 (/.f64 eps x) #s(literal 2 binary64))))
(*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64)))
(*.f64 (*.f64 eps (*.f64 x (+.f64 (/.f64 eps x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 x (+.f64 (/.f64 eps x) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (*.f64 eps (*.f64 x (+.f64 (/.f64 eps x) #s(literal 2 binary64))))) (pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x (+.f64 (/.f64 eps x) #s(literal 2 binary64))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x (+.f64 (/.f64 eps x) #s(literal 2 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 eps (*.f64 x (+.f64 (/.f64 eps x) #s(literal 2 binary64))))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 eps x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 eps x)) (+.f64 (/.f64 eps x) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (*.f64 eps (*.f64 x (+.f64 (/.f64 eps x) #s(literal 2 binary64))))) (sqrt.f64 (*.f64 eps (*.f64 x (+.f64 (/.f64 eps x) #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 (*.f64 eps x)) (*.f64 (sqrt.f64 (*.f64 eps x)) (+.f64 (/.f64 eps x) #s(literal 2 binary64))))
(*.f64 (fma.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (pow.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps x) (-.f64 (/.f64 eps x) #s(literal 2 binary64)))))
(*.f64 (+.f64 (/.f64 eps x) #s(literal 2 binary64)) (*.f64 eps x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 2 binary64))) (fma.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 eps x) (-.f64 (/.f64 eps x) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (pow.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 3 binary64))) (fma.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (*.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (*.f64 eps (*.f64 x #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (pow.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 (*.f64 eps x) (-.f64 (/.f64 eps x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (pow.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) (neg.f64 (*.f64 (*.f64 eps x) (-.f64 (/.f64 eps x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 2 binary64))) (-.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
(pow.f64 (*.f64 eps (*.f64 x (+.f64 (/.f64 eps x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x (+.f64 (/.f64 eps x) #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (*.f64 x (+.f64 (/.f64 eps x) #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (*.f64 x (+.f64 (/.f64 eps x) #s(literal 2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps (*.f64 x (+.f64 (/.f64 eps x) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) (+.f64 (/.f64 eps x) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (*.f64 x (+.f64 (/.f64 eps x) #s(literal 2 binary64)))))))
(log.f64 (*.f64 (exp.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64)))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))) (pow.f64 (pow.f64 (exp.f64 eps) x) #s(literal 2 binary64))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64)))))))
(log.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))))) (exp.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))))
(cbrt.f64 (pow.f64 (*.f64 eps (*.f64 x (+.f64 (/.f64 eps x) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 eps (*.f64 x (+.f64 (/.f64 eps x) #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 eps (*.f64 x (+.f64 (/.f64 eps x) #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.f64 eps (*.f64 x (+.f64 (/.f64 eps x) #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (*.f64 x (+.f64 (/.f64 eps x) #s(literal 2 binary64))))) #s(literal 1 binary64)))
(fma.f64 eps (/.f64 (*.f64 eps x) x) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 eps (*.f64 x #s(literal 2 binary64)) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(fma.f64 eps (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 eps x)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 eps (*.f64 x (/.f64 eps x)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 x (*.f64 eps #s(literal 2 binary64)) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(fma.f64 (/.f64 eps x) (*.f64 eps x) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (*.f64 eps x) (/.f64 eps x) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (*.f64 eps x) #s(literal 2 binary64) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(fma.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 1 binary64) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal 2 binary64) (*.f64 eps x) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(fma.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(fma.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 eps x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 eps x)) (*.f64 eps x)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 eps x)) #s(literal 2 binary64)) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 eps x)) (/.f64 eps x)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) #s(literal 2 binary64)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64)))) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(fma.f64 (sqrt.f64 (/.f64 eps x)) (*.f64 (sqrt.f64 (/.f64 eps x)) (*.f64 eps x)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 eps x)) (*.f64 (sqrt.f64 (*.f64 eps x)) #s(literal 2 binary64)) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(fma.f64 (sqrt.f64 (*.f64 eps x)) (*.f64 (sqrt.f64 (*.f64 eps x)) (/.f64 eps x)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) (sqrt.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64)))) (sqrt.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64)))) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(fma.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) x (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (*.f64 eps #s(literal 2 binary64)) x (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(fma.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) (/.f64 #s(literal 1 binary64) x) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (/.f64 eps (sqrt.f64 x)) (/.f64 (*.f64 eps x) (sqrt.f64 x)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (/.f64 eps #s(literal 1 binary64)) (/.f64 (*.f64 eps x) x) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (/.f64 eps (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 eps x) (cbrt.f64 x)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (*.f64 #s(literal 2 binary64) x) eps (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (*.f64 eps x)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 eps x)) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 eps x))) (sqrt.f64 (*.f64 eps x)) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(fma.f64 (*.f64 (*.f64 eps #s(literal 2 binary64)) #s(literal 1 binary64)) x (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(fma.f64 (*.f64 (*.f64 eps #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(fma.f64 (*.f64 (*.f64 eps #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(fma.f64 (*.f64 (/.f64 eps x) x) eps (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (*.f64 (/.f64 eps x) (pow.f64 (cbrt.f64 (*.f64 eps x)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 eps x)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (*.f64 (/.f64 eps x) (sqrt.f64 (*.f64 eps x))) (sqrt.f64 (*.f64 eps x)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (*.f64 (*.f64 eps x) (pow.f64 (cbrt.f64 (/.f64 eps x)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 eps x)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (*.f64 (*.f64 eps x) (sqrt.f64 (/.f64 eps x))) (sqrt.f64 (/.f64 eps x)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (*.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) #s(literal 1 binary64)) x (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (*.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (*.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
Outputs
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(pow.f64 eps #s(literal 2 binary64))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 2 binary64)))
(pow.f64 eps #s(literal 2 binary64))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 2 binary64)))
(pow.f64 eps #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(+.f64 #s(literal 0 binary64) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
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(fma.f64 (*.f64 (*.f64 eps #s(literal 2 binary64)) #s(literal 1 binary64)) x (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (*.f64 (*.f64 eps #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (*.f64 (*.f64 eps #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (*.f64 (/.f64 eps x) x) eps (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (*.f64 (/.f64 eps x) (pow.f64 (cbrt.f64 (*.f64 eps x)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 eps x)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (*.f64 (/.f64 eps x) (sqrt.f64 (*.f64 eps x))) (sqrt.f64 (*.f64 eps x)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (*.f64 (*.f64 eps x) (pow.f64 (cbrt.f64 (/.f64 eps x)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 eps x)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (*.f64 (*.f64 eps x) (sqrt.f64 (/.f64 eps x))) (sqrt.f64 (/.f64 eps x)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (*.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) #s(literal 1 binary64)) x (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (*.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (*.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))

eval46.0ms (0.9%)

Compiler

Compiled 2873 to 1575 computations (45.2% saved)

prune26.0ms (0.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1591160
Fresh000
Picked101
Done235
Total1624166
Accuracy
100.0%
Counts
166 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
86.1%
(*.f64 (+.f64 (/.f64 eps x) #s(literal 2 binary64)) (*.f64 eps x))
100.0%
(*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))
59.9%
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
59.8%
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
Compiler

Compiled 112 to 65 computations (42% saved)

regimes12.0ms (0.2%)

Counts
9 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
(*.f64 (+.f64 (/.f64 eps x) #s(literal 2 binary64)) (*.f64 eps x))
(+.f64 (*.f64 (/.f64 eps x) (*.f64 eps x)) (*.f64 #s(literal 2 binary64) (*.f64 eps x)))
(fma.f64 eps eps (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
Outputs
(fma.f64 eps eps (*.f64 eps (*.f64 x #s(literal 2 binary64))))
Calls

3 calls:

3.0ms
eps
3.0ms
x
2.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1eps
100.0%1(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes14.0ms (0.3%)

Counts
6 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
(*.f64 (+.f64 (/.f64 eps x) #s(literal 2 binary64)) (*.f64 eps x))
(+.f64 (*.f64 (/.f64 eps x) (*.f64 eps x)) (*.f64 #s(literal 2 binary64) (*.f64 eps x)))
Outputs
(*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))
Calls

2 calls:

11.0ms
x
2.0ms
eps
Results
AccuracySegmentsBranch
100.0%1x
100.0%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
Outputs
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
Calls

2 calls:

1.0ms
x
1.0ms
eps
Results
AccuracySegmentsBranch
59.9%1x
59.9%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes1.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
Outputs
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
Calls

2 calls:

0.0ms
eps
0.0ms
x
Results
AccuracySegmentsBranch
59.8%1eps
59.8%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify2.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01899
12499
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 eps eps (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
Outputs
(fma.f64 eps eps (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(*.f64 eps (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))

soundness522.0ms (9.7%)

Rules
893×prod-diff
606×log1p-expm1-u
606×expm1-log1p-u
578×sub-neg
567×unpow-prod-down
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01782259
14132249
211472238
334692232
01128
112024
2166824
028278
157246
2174238
3663196
42246188
55182188
66776188
77401188
87630188
97744188
107777188
Stop Event
fuel
node limit
node limit
node limit
Compiler

Compiled 266 to 95 computations (64.3% saved)

preprocess35.0ms (0.6%)

Compiler

Compiled 76 to 48 computations (36.8% saved)

end0.0ms (0%)

Profiling

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