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

Time bar (total: 5.0s)

analyze0.0ms (0%)

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

Compiled 26 to 18 computations (30.8% 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)
backward-pass: 0.0ms (0% of total)
ival-<=: 0.0ms (0% of total)
ival-pow: 0.0ms (0% of total)

sample2.3s (46.7%)

Results
722.0ms5095×0valid
845.0ms2564×1valid
230.0ms597×2valid
Precisions
Click to see histograms. Total time spent on operations: 1.4s
ival-pow: 720.0ms (50% of total)
ival-<=: 241.0ms (16.7% of total)
ival-add: 229.0ms (15.9% of total)
backward-pass: 141.0ms (9.8% of total)
ival-sub: 61.0ms (4.2% of total)
ival-and: 26.0ms (1.8% of total)
const: 24.0ms (1.7% of total)
Bogosity

preprocess191.0ms (3.9%)

Algorithm
1×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
1×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))))

explain106.0ms (2.1%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
811(-4.179127654520074e-109 6.65157583493928e-216)0-(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
00-0-x
089(7.277899782846754e-24 9.740928965815558e-257)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
22.0ms290×0valid
32.0ms176×1valid
13.0ms46×2valid
Compiler

Compiled 63 to 23 computations (63.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-pow: 17.0ms (50.9% of total)
ival-add: 7.0ms (21% of total)
backward-pass: 5.0ms (15% of total)
ival-sub: 4.0ms (12% of total)
const: 1.0ms (3% of total)

eval0.0ms (0%)

Compiler

Compiled 9 to 6 computations (33.3% saved)

prune3.0ms (0.1%)

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)

localize38.0ms (0.8%)

Algorithm
1×egg-herbie
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
✓cost-diff-6272
(+.f64 eps (*.f64 x #s(literal 2 binary64)))
✓cost-diff-6272
(*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))
✓cost-diff0
(*.f64 x #s(literal 2 binary64))
✓accuracy100.0%
(+.f64 eps (*.f64 x #s(literal 2 binary64)))
✓accuracy100.0%
(*.f64 x #s(literal 2 binary64))
✓accuracy100.0%
(*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))
Rules
10×fma-define
7×*-commutative
2×distribute-rgt-in
2×associate-*r*
2×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01166
11958
23458
34458
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))
eps
(+.f64 eps (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
Outputs
(*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
eps
(+.f64 eps (*.f64 x #s(literal 2 binary64)))
(fma.f64 x #s(literal 2 binary64) eps)
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
Results
24.0ms256×0valid
Compiler

Compiled 21 to 7 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 5.0ms (75.1% of total)
ival-add: 1.0ms (15% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series8.0ms (0.2%)

Counts
3 → 60
Calls
Call 1
Inputs
#<alt (*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 x #s(literal 2 binary64))>
#<alt (+.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)))))>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (+.f64 eps (*.f64 #s(literal 2 binary64) x))>
#<alt (+.f64 eps (*.f64 #s(literal 2 binary64) x))>
#<alt (+.f64 eps (*.f64 #s(literal 2 binary64) x))>
#<alt eps>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt eps>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x eps)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x eps)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x eps)) #s(literal 1 binary64))))>
#<alt eps>
#<alt (+.f64 eps (*.f64 #s(literal 2 binary64) x))>
#<alt (+.f64 eps (*.f64 #s(literal 2 binary64) x))>
#<alt (+.f64 eps (*.f64 #s(literal 2 binary64) x))>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x)))>
#<alt (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x)))>
#<alt (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x)))>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 2 binary64))))>
Calls

15 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)))

rewrite217.0ms (4.4%)

Algorithm
1×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
01157
112049
2166849
Stop Event
1×node limit
Counts
3 → 149
Calls
Call 1
Inputs
(*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))
(*.f64 x #s(literal 2 binary64))
(+.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)))
(+.f64 x x)
(+.f64 #s(literal 0 binary64) (*.f64 x #s(literal 2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))))
(exp.f64 (log.f64 (*.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 eps (*.f64 #s(literal -2 binary64) x))) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (+.f64 eps (*.f64 #s(literal -2 binary64) x))))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1 binary64))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) eps)) (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) eps)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) eps)) (pow.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) eps)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x #s(literal 2 binary64) eps)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) eps)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) eps)) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) eps)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64))) (/.f64 #s(literal 1 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 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 2 binary64)) eps) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 eps (*.f64 #s(literal -2 binary64) x))))
(*.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps (*.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) eps)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) eps))) (cbrt.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) eps)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (fma.f64 x #s(literal 2 binary64) eps)))
(*.f64 (pow.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) eps)) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) eps)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 2 binary64)) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) eps)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) eps)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 2 binary64)) eps) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 eps (*.f64 #s(literal -2 binary64) x)) (-.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))))
(/.f64 (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 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))))
(/.f64 (-.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 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 2 binary64)) eps) (pow.f64 eps #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))) (neg.f64 (+.f64 eps (*.f64 #s(literal -2 binary64) x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 eps #s(literal 2 binary64))) (-.f64 (*.f64 x #s(literal 2 binary64)) eps))
(pow.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) eps)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) eps)) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 2 binary64)) eps) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 eps (*.f64 #s(literal -2 binary64) x)) (-.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x #s(literal 2 binary64) eps)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x #s(literal 2 binary64) eps))))
(log.f64 (*.f64 (exp.f64 eps) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 2 binary64))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 eps)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 eps)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 2 binary64))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (expm1.f64 eps))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (exp.f64 eps)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 eps))))
(cbrt.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x #s(literal 2 binary64) eps)))
(log1p.f64 (expm1.f64 (fma.f64 x #s(literal 2 binary64) eps)))
(exp.f64 (log.f64 (fma.f64 x #s(literal 2 binary64) eps)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x #s(literal 2 binary64) eps)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 2 binary64)))
(fma.f64 eps #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64)))
(fma.f64 x #s(literal 2 binary64) eps)
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) eps)
(fma.f64 #s(literal 1 binary64) eps (*.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64)) eps)
(fma.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) eps)
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (cbrt.f64 (*.f64 x #s(literal 2 binary64))) eps)
(fma.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 eps) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 2 binary64)) eps)
(fma.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 (*.f64 x #s(literal 2 binary64))) eps)
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) eps)
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) eps)
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x) eps)

simplify89.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
595×distribute-lft-in
549×distribute-rgt-in
536×times-frac
297×cancel-sign-sub-inv
194×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03805726
18255570
223565465
Stop Event
1×node limit
Counts
209 → 203
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 #s(literal 2 binary64) x)
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(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 eps #s(literal 2 binary64))) (-.f64 (*.f64 x #s(literal 2 binary64)) eps))
(pow.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) eps)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) eps)) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 2 binary64)) eps) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 eps (*.f64 #s(literal -2 binary64) x)) (-.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x #s(literal 2 binary64) eps)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x #s(literal 2 binary64) eps))))
(log.f64 (*.f64 (exp.f64 eps) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 2 binary64))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 eps)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 eps)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 2 binary64))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (expm1.f64 eps))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (exp.f64 eps)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 eps))))
(cbrt.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x #s(literal 2 binary64) eps)))
(log1p.f64 (expm1.f64 (fma.f64 x #s(literal 2 binary64) eps)))
(exp.f64 (log.f64 (fma.f64 x #s(literal 2 binary64) eps)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x #s(literal 2 binary64) eps)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 2 binary64)))
(fma.f64 eps #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64)))
(fma.f64 x #s(literal 2 binary64) eps)
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) eps)
(fma.f64 #s(literal 1 binary64) eps (*.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64)) eps)
(fma.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) eps)
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (cbrt.f64 (*.f64 x #s(literal 2 binary64))) eps)
(fma.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 eps) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 2 binary64)) eps)
(fma.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 (*.f64 x #s(literal 2 binary64))) eps)
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) eps)
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) eps)
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x) eps)
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))
(*.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)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 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)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 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)) (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 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 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)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 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)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 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 (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 #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 #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))))
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(+.f64 eps (*.f64 #s(literal 2 binary64) x))
(fma.f64 #s(literal 2 binary64) x eps)
(+.f64 eps (*.f64 #s(literal 2 binary64) x))
(fma.f64 #s(literal 2 binary64) x eps)
(+.f64 eps (*.f64 #s(literal 2 binary64) x))
(fma.f64 #s(literal 2 binary64) x eps)
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))
eps
(*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x eps)) #s(literal 1 binary64))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x eps)) #s(literal 1 binary64))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x eps)) #s(literal 1 binary64))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))
eps
(+.f64 eps (*.f64 #s(literal 2 binary64) x))
(fma.f64 #s(literal 2 binary64) x eps)
(+.f64 eps (*.f64 #s(literal 2 binary64) x))
(fma.f64 #s(literal 2 binary64) x eps)
(+.f64 eps (*.f64 #s(literal 2 binary64) x))
(fma.f64 #s(literal 2 binary64) x eps)
(*.f64 #s(literal 2 binary64) x)
(*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
(*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
(*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 2 binary64))))
(neg.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 eps x) #s(literal -2 binary64))))
(*.f64 x (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 eps x) #s(literal -2 binary64))))
(*.f64 (-.f64 #s(literal -2 binary64) (/.f64 eps x)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 2 binary64))))
(neg.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 eps x) #s(literal -2 binary64))))
(*.f64 x (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 eps x) #s(literal -2 binary64))))
(*.f64 (-.f64 #s(literal -2 binary64) (/.f64 eps x)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 2 binary64))))
(neg.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 eps x) #s(literal -2 binary64))))
(*.f64 x (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 eps x) #s(literal -2 binary64))))
(*.f64 (-.f64 #s(literal -2 binary64) (/.f64 eps x)) (neg.f64 x))
(+.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(*.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 #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 #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 #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 #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 #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 #s(literal 2 binary64) (*.f64 eps x)) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps 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 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 eps (fma.f64 x #s(literal -2 binary64) eps)))))
(/.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 #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 (*.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 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 eps (fma.f64 x #s(literal -2 binary64) eps)))))
(/.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 (pow.f64 eps #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 eps (+.f64 eps (*.f64 x #s(literal -2 binary64)))))
(*.f64 (fma.f64 eps eps (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -4 binary64))) (/.f64 eps (fma.f64 x #s(literal -2 binary64) eps)))
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(/.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (+.f64 eps (*.f64 x #s(literal -2 binary64))))
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(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (exp.f64 eps)))
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(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (cbrt.f64 (*.f64 x #s(literal 2 binary64))) eps)
(fma.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) eps)
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) eps)
(fma.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 eps) (*.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) x eps)
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(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 (*.f64 x #s(literal 2 binary64))) eps)
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (*.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) eps)
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) eps)
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x) eps)
(fma.f64 #s(literal 2 binary64) x eps)

eval34.0ms (0.7%)

Compiler

Compiled 2842 to 631 computations (77.8% saved)

prune27.0ms (0.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New2003203
Fresh000
Picked011
Done000
Total2004204
Accuracy
100.0%
Counts
204 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶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))))
▶69.7%
(*.f64 eps eps)
▶65.1%
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
Compiler

Compiled 32 to 21 computations (34.4% saved)

localize340.0ms (6.8%)

Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓cost-diff-6144
(*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
✓cost-diff0
(/.f64 eps x)
✓cost-diff0
(+.f64 #s(literal 2 binary64) (/.f64 eps x))
✓cost-diff0
(*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
✓cost-diff0
(*.f64 eps eps)
✓cost-diff0
(*.f64 eps x)
✓cost-diff0
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
✓accuracy100.0%
(/.f64 eps x)
✓accuracy100.0%
(+.f64 #s(literal 2 binary64) (/.f64 eps x))
✓accuracy99.9%
(*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
✓accuracy99.8%
(*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
✓accuracy100.0%
(*.f64 eps eps)
✓accuracy100.0%
(*.f64 eps x)
✓accuracy99.9%
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
Rules
1888×fma-define
825×associate-/r*
693×times-frac
501×associate-/l/
276×*-commutative
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
015164
129164
267164
3121164
4136157
5141151
6166151
7282151
8678151
92838151
103567151
114301151
124498151
134659151
145114151
156886151
167053151
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
#s(literal 2 binary64)
(*.f64 eps x)
eps
x
(*.f64 eps eps)
eps
(*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
x
(*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
eps
(+.f64 #s(literal 2 binary64) (/.f64 eps x))
#s(literal 2 binary64)
(/.f64 eps x)
Outputs
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 (*.f64 #s(literal 2 binary64) eps) x)
(*.f64 eps (*.f64 x #s(literal 2 binary64)))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
#s(literal 2 binary64)
(*.f64 eps x)
eps
x
(*.f64 eps eps)
eps
(*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
(*.f64 (*.f64 eps x) (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
(*.f64 eps (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x (*.f64 eps #s(literal 1 binary64))))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
x
(*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
eps
(+.f64 #s(literal 2 binary64) (/.f64 eps x))
#s(literal 2 binary64)
(/.f64 eps x)
Results
30.0ms256×0valid
Compiler

Compiled 45 to 11 computations (75.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 11.0ms (72.6% of total)
ival-div: 2.0ms (13.2% of total)
ival-add: 1.0ms (6.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series17.0ms (0.3%)

Counts
7 → 72
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<alt (*.f64 eps x)>
#<alt (*.f64 eps eps)>
#<alt (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))>
#<alt (*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))>
#<alt (+.f64 #s(literal 2 binary64) (/.f64 eps x))>
#<alt (/.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 (*.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))))>
#<alt #s(literal 2 binary64)>
#<alt (/.f64 eps x)>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (/.f64 eps x)>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (/.f64 eps x)>
#<alt (/.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) x)>
#<alt (/.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) x)>
#<alt (/.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) x)>
#<alt #s(literal 2 binary64)>
#<alt #s(literal 2 binary64)>
Calls

39 calls:

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

rewrite221.0ms (4.4%)

Algorithm
1×batch-egg-rewrite
Rules
637×log1p-expm1-u
637×expm1-log1p-u
610×log-prod
251×fma-define
247×prod-diff
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
015139
1214139
22959139
Stop Event
1×node limit
Counts
7 → 319
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 eps x)
(*.f64 eps eps)
(*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
(*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
(+.f64 #s(literal 2 binary64) (/.f64 eps x))
(/.f64 eps x)
Outputs
(+.f64 (*.f64 eps x) (*.f64 eps x))
(+.f64 #s(literal 0 binary64) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))))) (cbrt.f64 (exp.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 eps x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) x)) (cbrt.f64 (pow.f64 (exp.f64 eps) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps x))) #s(literal 1 binary64))
(pow.f64 (*.f64 eps x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 eps) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps x))))
(cbrt.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 eps x)))
(log1p.f64 (expm1.f64 (*.f64 eps x)))
(exp.f64 (log.f64 (*.f64 eps x)))
(exp.f64 (*.f64 (log.f64 (*.f64 eps x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 eps x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 eps x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 eps x))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 eps #s(literal 2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 eps #s(literal 2 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 eps #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 eps #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 eps #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 eps #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 eps #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 eps #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 eps #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 eps #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 eps)))
(exp.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 eps)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) (log.f64 eps))) #s(literal 1/3 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(+.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (*.f64 #s(literal 2 binary64) eps))
(+.f64 #s(literal 0 binary64) (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) #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 eps) (+.f64 #s(literal 2 binary64) (/.f64 eps x)))) (cbrt.f64 (pow.f64 (exp.f64 eps) (+.f64 #s(literal 2 binary64) (/.f64 eps x)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) (+.f64 #s(literal 2 binary64) (/.f64 eps x))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) (+.f64 #s(literal 2 binary64) (/.f64 eps x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) (+.f64 #s(literal 2 binary64) (/.f64 eps x))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) eps) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 2 binary64) eps) (*.f64 #s(literal 2 binary64) eps) (-.f64 (*.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (/.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 (*.f64 (*.f64 #s(literal 2 binary64) eps) (*.f64 #s(literal 2 binary64) eps)) (*.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (/.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 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)))
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(fma.f64 (*.f64 #s(literal 2 binary64) x) eps (*.f64 (*.f64 eps x) (/.f64 eps x)))
(fma.f64 (*.f64 #s(literal 2 binary64) x) eps (*.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) x))
(fma.f64 (*.f64 #s(literal 2 binary64) x) eps (*.f64 (/.f64 eps x) (*.f64 eps 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) (pow.f64 (cbrt.f64 (*.f64 eps x)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 eps x)) (*.f64 (*.f64 eps x) (/.f64 eps 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 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) 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 (/.f64 eps x) (*.f64 eps 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 #s(literal 2 binary64) (sqrt.f64 (*.f64 eps x))) (sqrt.f64 (*.f64 eps x)) (*.f64 (*.f64 eps x) (/.f64 eps x)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 eps x))) (sqrt.f64 (*.f64 eps x)) (*.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) x))
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 eps x))) (sqrt.f64 (*.f64 eps x)) (*.f64 (/.f64 eps x) (*.f64 eps x)))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) (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 #s(literal 2 binary64) eps) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (*.f64 eps x) (/.f64 eps x)))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) x))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (/.f64 eps x) (*.f64 eps x)))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (*.f64 eps x) (/.f64 eps x)))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) x))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (/.f64 eps x) (*.f64 eps x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 #s(literal 2 binary64) (/.f64 eps x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (/.f64 eps x))) (/.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) (-.f64 #s(literal 2 binary64) (/.f64 eps x))))
(*.f64 (+.f64 #s(literal 2 binary64) (/.f64 eps x)) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 2 binary64) (/.f64 eps x)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
(*.f64 (cbrt.f64 (+.f64 #s(literal 2 binary64) (/.f64 eps x))) (pow.f64 (cbrt.f64 (+.f64 #s(literal 2 binary64) (/.f64 eps x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 2 binary64) (/.f64 eps x))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (/.f64 eps x))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
(*.f64 (+.f64 (pow.f64 (/.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 eps x) (-.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal 4 binary64))))
(*.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (/.f64 eps x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (/.f64 eps x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 eps x) (-.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal 4 binary64)) (+.f64 (pow.f64 (/.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 eps x)) (-.f64 #s(literal 4 binary64) (pow.f64 (/.f64 eps x) #s(literal 2 binary64)))))
(/.f64 (+.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 (pow.f64 (/.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64)) (+.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (/.f64 x eps)))))
(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (/.f64 eps x) #s(literal 2 binary64))) (-.f64 #s(literal 2 binary64) (/.f64 eps x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64))) (neg.f64 (fma.f64 (/.f64 eps x) (-.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (/.f64 eps x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 2 binary64) (/.f64 eps x))))
(/.f64 (-.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (/.f64 eps x) #s(literal 2 binary64)))
(pow.f64 (+.f64 #s(literal 2 binary64) (/.f64 eps x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 2 binary64) (/.f64 eps x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (/.f64 eps x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (/.f64 eps x))) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (/.f64 eps x) (-.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal 4 binary64)) (+.f64 (pow.f64 (/.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 eps x)) (-.f64 #s(literal 4 binary64) (pow.f64 (/.f64 eps x) #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (/.f64 eps x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal 2 binary64) (/.f64 eps x)))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (/.f64 eps x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
(exp.f64 (log.f64 (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal 2 binary64) (/.f64 eps x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 #s(literal 2 binary64) (/.f64 eps x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 #s(literal 2 binary64) (/.f64 eps x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (/.f64 eps x)))) #s(literal 2 binary64)))
(fma.f64 eps (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(fma.f64 (/.f64 eps x) #s(literal 1 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 eps x) #s(literal 2 binary64))
(fma.f64 (cbrt.f64 (/.f64 eps x)) (pow.f64 (cbrt.f64 (/.f64 eps x)) #s(literal 2 binary64)) #s(literal 2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 eps x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 eps x)) #s(literal 2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (/.f64 (cbrt.f64 eps) x) #s(literal 2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (*.f64 (cbrt.f64 eps) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(fma.f64 (sqrt.f64 (/.f64 eps x)) (sqrt.f64 (/.f64 eps x)) #s(literal 2 binary64))
(fma.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 eps) x) #s(literal 2 binary64))
(fma.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(fma.f64 (neg.f64 eps) (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) eps #s(literal 2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 eps (cbrt.f64 x)) #s(literal 2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 eps (sqrt.f64 x)) #s(literal 2 binary64))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 eps) x) #s(literal 2 binary64))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 eps x)) #s(literal 2 binary64))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 eps) (sqrt.f64 x)) #s(literal 2 binary64))
(fma.f64 (/.f64 (sqrt.f64 eps) #s(literal 1 binary64)) (/.f64 (sqrt.f64 eps) x) #s(literal 2 binary64))
(fma.f64 (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 eps) (cbrt.f64 x)) #s(literal 2 binary64))
(+.f64 #s(literal 0 binary64) (/.f64 eps x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 eps x))) (cbrt.f64 (exp.f64 (/.f64 eps x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 eps x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 eps x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 eps x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 eps x))) #s(literal 1 binary64))
(*.f64 eps (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 eps x) #s(literal 1 binary64))
(*.f64 (/.f64 eps x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 eps x))
(*.f64 (cbrt.f64 (/.f64 eps x)) (pow.f64 (cbrt.f64 (/.f64 eps x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 eps x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 eps x)))
(*.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (/.f64 (cbrt.f64 eps) x))
(*.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (*.f64 (cbrt.f64 eps) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 eps x)) (sqrt.f64 (/.f64 eps x)))
(*.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 eps) x))
(*.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (neg.f64 eps) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) eps)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 eps (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 eps (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 eps) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 eps x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 eps) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 eps) #s(literal 1 binary64)) (/.f64 (sqrt.f64 eps) x))
(*.f64 (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 eps) (cbrt.f64 x)))
(pow.f64 (/.f64 eps x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 eps x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 eps x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 eps x)) #s(literal 2 binary64))
(pow.f64 (/.f64 x eps) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 x eps) #s(literal 1 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 eps (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 eps) x))
(sqrt.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 eps x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 eps x))))
(cbrt.f64 (pow.f64 (/.f64 eps x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 eps x)))
(log1p.f64 (expm1.f64 (/.f64 eps x)))
(exp.f64 (log.f64 (/.f64 eps x)))
(exp.f64 (*.f64 (log.f64 (/.f64 eps x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 eps x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (/.f64 eps x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 eps x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 x eps)) #s(literal -1 binary64)))

simplify162.0ms (3.3%)

Algorithm
1×egg-herbie
Rules
747×times-frac
591×prod-exp
287×associate-*r*
287×exp-prod
276×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
063711817
1133711227
238699835
Stop Event
1×node limit
Counts
391 → 397
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))
(*.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))))
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(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 eps (sqrt.f64 x)) #s(literal 2 binary64))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 eps) x) #s(literal 2 binary64))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 eps x)) #s(literal 2 binary64))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 eps) (sqrt.f64 x)) #s(literal 2 binary64))
(fma.f64 (/.f64 (sqrt.f64 eps) #s(literal 1 binary64)) (/.f64 (sqrt.f64 eps) x) #s(literal 2 binary64))
(fma.f64 (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 eps) (cbrt.f64 x)) #s(literal 2 binary64))
(+.f64 #s(literal 0 binary64) (/.f64 eps x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 eps x))) (cbrt.f64 (exp.f64 (/.f64 eps x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 eps x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 eps x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 eps x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 eps x))) #s(literal 1 binary64))
(*.f64 eps (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 eps x) #s(literal 1 binary64))
(*.f64 (/.f64 eps x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 eps x))
(*.f64 (cbrt.f64 (/.f64 eps x)) (pow.f64 (cbrt.f64 (/.f64 eps x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 eps x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 eps x)))
(*.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (/.f64 (cbrt.f64 eps) x))
(*.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (*.f64 (cbrt.f64 eps) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 eps x)) (sqrt.f64 (/.f64 eps x)))
(*.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 eps) x))
(*.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (neg.f64 eps) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) eps)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 eps (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 eps (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 eps) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 eps x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 eps) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 eps) #s(literal 1 binary64)) (/.f64 (sqrt.f64 eps) x))
(*.f64 (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 eps) (cbrt.f64 x)))
(pow.f64 (/.f64 eps x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 eps x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 eps x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 eps x)) #s(literal 2 binary64))
(pow.f64 (/.f64 x eps) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 x eps) #s(literal 1 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 eps (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 eps) x))
(sqrt.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 eps x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 eps x))))
(cbrt.f64 (pow.f64 (/.f64 eps x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 eps x)))
(log1p.f64 (expm1.f64 (/.f64 eps x)))
(exp.f64 (log.f64 (/.f64 eps x)))
(exp.f64 (*.f64 (log.f64 (/.f64 eps x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 eps x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (/.f64 eps x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 eps x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 x eps)) #s(literal -1 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))
(*.f64 #s(literal 2 binary64) eps)
(*.f64 eps #s(literal 2 binary64))
(/.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)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x))
(*.f64 eps (/.f64 (fma.f64 #s(literal 2 binary64) x eps) 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)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x))
(*.f64 eps (/.f64 (fma.f64 #s(literal 2 binary64) x eps) 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)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x))
(*.f64 eps (/.f64 (fma.f64 #s(literal 2 binary64) x eps) x))
(*.f64 #s(literal 2 binary64) eps)
(*.f64 eps #s(literal 2 binary64))
(+.f64 (*.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) eps) (/.f64 #s(literal 1 binary64) x)))
(*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
(+.f64 (*.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) eps) (/.f64 #s(literal 1 binary64) x)))
(*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
(+.f64 (*.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) eps) (/.f64 #s(literal 1 binary64) x)))
(*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
(*.f64 #s(literal 2 binary64) eps)
(*.f64 eps #s(literal 2 binary64))
(+.f64 (*.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) eps) (/.f64 #s(literal 1 binary64) x)))
(*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
(+.f64 (*.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) eps) (/.f64 #s(literal 1 binary64) x)))
(*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
(+.f64 (*.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) eps) (/.f64 #s(literal 1 binary64) x)))
(*.f64 eps (+.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 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 (neg.f64 x) (fma.f64 #s(literal -2 binary64) eps (neg.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
(*.f64 (-.f64 (*.f64 eps #s(literal -2 binary64)) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (neg.f64 x))
(+.f64 (neg.f64 (*.f64 eps (*.f64 #s(literal -2 binary64) x))) (pow.f64 eps #s(literal 2 binary64)))
(*.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 (neg.f64 x) (fma.f64 #s(literal -2 binary64) eps (neg.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
(*.f64 (-.f64 (*.f64 eps #s(literal -2 binary64)) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (neg.f64 x))
(+.f64 (neg.f64 (*.f64 eps (*.f64 #s(literal -2 binary64) x))) (pow.f64 eps #s(literal 2 binary64)))
(*.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 (neg.f64 x) (fma.f64 #s(literal -2 binary64) eps (neg.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
(*.f64 (-.f64 (*.f64 eps #s(literal -2 binary64)) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (neg.f64 x))
(+.f64 (neg.f64 (*.f64 eps (*.f64 #s(literal -2 binary64) x))) (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 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) eps)))
(*.f64 (pow.f64 eps #s(literal 2 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)) (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 (*.f64 #s(literal 2 binary64) x) eps)))
(*.f64 (pow.f64 eps #s(literal 2 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)) (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 (*.f64 #s(literal 2 binary64) x) eps)))
(*.f64 (pow.f64 eps #s(literal 2 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)) (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 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) eps)))
(*.f64 (pow.f64 eps #s(literal 2 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)) (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 (*.f64 #s(literal 2 binary64) x) eps)))
(*.f64 (pow.f64 eps #s(literal 2 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)) (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 (*.f64 #s(literal 2 binary64) x) eps)))
(*.f64 (pow.f64 eps #s(literal 2 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)) (pow.f64 eps #s(literal 2 binary64)))
#s(literal 2 binary64)
(/.f64 eps x)
(*.f64 eps (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 eps (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 eps (/.f64 #s(literal 2 binary64) eps) (/.f64 eps x))
(+.f64 #s(literal 2 binary64) (/.f64 eps x))
(*.f64 eps (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 eps (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 eps (/.f64 #s(literal 2 binary64) eps) (/.f64 eps x))
(+.f64 #s(literal 2 binary64) (/.f64 eps x))
(*.f64 eps (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 eps (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 eps (/.f64 #s(literal 2 binary64) eps) (/.f64 eps x))
(+.f64 #s(literal 2 binary64) (/.f64 eps x))
(/.f64 eps x)
(*.f64 eps (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 eps (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 eps (/.f64 #s(literal 2 binary64) eps) (/.f64 eps x))
(+.f64 #s(literal 2 binary64) (/.f64 eps x))
(*.f64 eps (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 eps (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 eps (/.f64 #s(literal 2 binary64) eps) (/.f64 eps x))
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(fma.f64 eps (/.f64 #s(literal 2 binary64) eps) (/.f64 eps x))
(+.f64 #s(literal 2 binary64) (/.f64 eps x))
(fma.f64 #s(literal 1 binary64) (/.f64 eps x) #s(literal 2 binary64))
(*.f64 eps (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 eps (/.f64 #s(literal 2 binary64) eps) (/.f64 eps x))
(+.f64 #s(literal 2 binary64) (/.f64 eps x))
(fma.f64 (cbrt.f64 (/.f64 eps x)) (pow.f64 (cbrt.f64 (/.f64 eps x)) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 eps (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 eps (/.f64 #s(literal 2 binary64) eps) (/.f64 eps x))
(+.f64 #s(literal 2 binary64) (/.f64 eps x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 eps x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 eps x)) #s(literal 2 binary64))
(*.f64 eps (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 eps (/.f64 #s(literal 2 binary64) eps) (/.f64 eps x))
(+.f64 #s(literal 2 binary64) (/.f64 eps x))
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (/.f64 (cbrt.f64 eps) x) #s(literal 2 binary64))
(*.f64 eps (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 eps (/.f64 #s(literal 2 binary64) eps) (/.f64 eps x))
(+.f64 #s(literal 2 binary64) (/.f64 eps x))
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (*.f64 (cbrt.f64 eps) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(*.f64 eps (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 eps (/.f64 #s(literal 2 binary64) eps) (/.f64 eps x))
(+.f64 #s(literal 2 binary64) (/.f64 eps x))
(fma.f64 (sqrt.f64 (/.f64 eps x)) (sqrt.f64 (/.f64 eps x)) #s(literal 2 binary64))
(*.f64 eps (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 eps (/.f64 #s(literal 2 binary64) eps) (/.f64 eps x))
(+.f64 #s(literal 2 binary64) (/.f64 eps x))
(fma.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 eps) x) #s(literal 2 binary64))
(*.f64 eps (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 eps (/.f64 #s(literal 2 binary64) eps) (/.f64 eps x))
(+.f64 #s(literal 2 binary64) (/.f64 eps x))
(fma.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(*.f64 eps (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 eps (/.f64 #s(literal 2 binary64) eps) (/.f64 eps x))
(+.f64 #s(literal 2 binary64) (/.f64 eps x))
(fma.f64 (neg.f64 eps) (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 2 binary64))
(*.f64 eps (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 eps (/.f64 #s(literal 2 binary64) eps) (/.f64 eps x))
(+.f64 #s(literal 2 binary64) (/.f64 eps x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) eps #s(literal 2 binary64))
(*.f64 eps (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 eps (/.f64 #s(literal 2 binary64) eps) (/.f64 eps x))
(+.f64 #s(literal 2 binary64) (/.f64 eps x))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 eps (cbrt.f64 x)) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (/.f64 (/.f64 eps (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 eps (sqrt.f64 x)) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (/.f64 (/.f64 eps (sqrt.f64 x)) (sqrt.f64 x)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 eps) x) #s(literal 2 binary64))
(*.f64 eps (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 eps (/.f64 #s(literal 2 binary64) eps) (/.f64 eps x))
(+.f64 #s(literal 2 binary64) (/.f64 eps x))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 eps x)) #s(literal 2 binary64))
(fma.f64 (cbrt.f64 (/.f64 eps x)) (/.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 eps) (sqrt.f64 x)) #s(literal 2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 eps (sqrt.f64 x)) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (/.f64 (/.f64 eps (sqrt.f64 x)) (sqrt.f64 x)))
(fma.f64 (/.f64 (sqrt.f64 eps) #s(literal 1 binary64)) (/.f64 (sqrt.f64 eps) x) #s(literal 2 binary64))
(*.f64 eps (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 eps (/.f64 #s(literal 2 binary64) eps) (/.f64 eps x))
(+.f64 #s(literal 2 binary64) (/.f64 eps x))
(fma.f64 (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 eps) (cbrt.f64 x)) #s(literal 2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 eps (cbrt.f64 x)) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (/.f64 (/.f64 eps (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(+.f64 #s(literal 0 binary64) (/.f64 eps x))
(/.f64 eps x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 eps x))) (cbrt.f64 (exp.f64 (/.f64 eps x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 eps x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 eps x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 eps x)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (/.f64 eps x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 eps x))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (/.f64 eps x)))
(*.f64 eps (/.f64 #s(literal 1 binary64) x))
(/.f64 eps x)
(*.f64 (/.f64 eps x) #s(literal 1 binary64))
(/.f64 eps x)
(*.f64 (/.f64 eps x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(/.f64 eps x)
(*.f64 #s(literal 1 binary64) (/.f64 eps x))
(/.f64 eps x)
(*.f64 (cbrt.f64 (/.f64 eps x)) (pow.f64 (cbrt.f64 (/.f64 eps x)) #s(literal 2 binary64)))
(/.f64 eps x)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 eps x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 eps x)))
(/.f64 eps x)
(*.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (/.f64 (cbrt.f64 eps) x))
(/.f64 eps x)
(*.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (*.f64 (cbrt.f64 eps) (/.f64 #s(literal 1 binary64) x)))
(/.f64 eps x)
(*.f64 (sqrt.f64 (/.f64 eps x)) (sqrt.f64 (/.f64 eps x)))
(/.f64 eps x)
(*.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 eps) x))
(/.f64 eps x)
(*.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) x)))
(/.f64 eps x)
(*.f64 (neg.f64 eps) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(/.f64 eps x)
(*.f64 (/.f64 #s(literal 1 binary64) x) eps)
(/.f64 eps x)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 eps (cbrt.f64 x)))
(/.f64 (/.f64 eps (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 eps (sqrt.f64 x)))
(/.f64 (/.f64 eps (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 eps) x))
(/.f64 eps x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 eps x)))
(*.f64 (cbrt.f64 (/.f64 eps x)) (/.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 eps x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 eps) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 eps (sqrt.f64 x)))
(/.f64 (/.f64 eps (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 eps) #s(literal 1 binary64)) (/.f64 (sqrt.f64 eps) x))
(/.f64 eps x)
(*.f64 (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 eps) (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 eps (cbrt.f64 x)))
(/.f64 (/.f64 eps (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(pow.f64 (/.f64 eps x) #s(literal 1 binary64))
(/.f64 eps x)
(pow.f64 (cbrt.f64 (/.f64 eps x)) #s(literal 3 binary64))
(/.f64 eps x)
(pow.f64 (pow.f64 (/.f64 eps x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 eps x)
(pow.f64 (sqrt.f64 (/.f64 eps x)) #s(literal 2 binary64))
(/.f64 eps x)
(pow.f64 (/.f64 x eps) #s(literal -1 binary64))
(/.f64 eps x)
(pow.f64 (/.f64 (/.f64 x eps) #s(literal 1 binary64)) #s(literal -1 binary64))
(/.f64 eps x)
(neg.f64 (/.f64 eps (neg.f64 x)))
(/.f64 eps x)
(neg.f64 (/.f64 (neg.f64 eps) x))
(/.f64 eps x)
(sqrt.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)))
(/.f64 eps x)
(log.f64 (exp.f64 (/.f64 eps x)))
(/.f64 eps x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 eps x))))
(/.f64 eps x)
(cbrt.f64 (pow.f64 (/.f64 eps x) #s(literal 3 binary64)))
(/.f64 eps x)
(expm1.f64 (log1p.f64 (/.f64 eps x)))
(log1p.f64 (expm1.f64 (/.f64 eps x)))
(/.f64 eps x)
(exp.f64 (log.f64 (/.f64 eps x)))
(/.f64 eps x)
(exp.f64 (*.f64 (log.f64 (/.f64 eps x)) #s(literal 1 binary64)))
(/.f64 eps x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 eps x))) #s(literal 3 binary64)))
(/.f64 eps x)
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (/.f64 eps x))) #s(literal 1/3 binary64)))
(/.f64 eps x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 eps x))) #s(literal 2 binary64)))
(/.f64 eps x)
(exp.f64 (*.f64 (log.f64 (/.f64 x eps)) #s(literal -1 binary64)))
(/.f64 eps x)

eval46.0ms (0.9%)

Compiler

Compiled 5625 to 1161 computations (79.4% saved)

prune58.0ms (1.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New3961397
Fresh000
Picked123
Done011
Total3974401
Accuracy
100.0%
Counts
401 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.8%
(*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
▶65.2%
(*.f64 x (*.f64 eps #s(literal 2 binary64)))
✓100.0%
(*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))
✓69.7%
(*.f64 eps eps)
Compiler

Compiled 32 to 21 computations (34.4% saved)

localize26.0ms (0.5%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 eps #s(literal 2 binary64))
✓cost-diff0
(*.f64 x (*.f64 eps #s(literal 2 binary64)))
✓accuracy100.0%
(*.f64 x (*.f64 eps #s(literal 2 binary64)))
✓accuracy100.0%
(*.f64 eps #s(literal 2 binary64))
Rules
5×*-commutative
3×associate-*r*
3×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01038
11438
22138
32338
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 x (*.f64 eps #s(literal 2 binary64)))
x
(*.f64 eps #s(literal 2 binary64))
eps
#s(literal 2 binary64)
Outputs
(*.f64 x (*.f64 eps #s(literal 2 binary64)))
x
(*.f64 eps #s(literal 2 binary64))
eps
#s(literal 2 binary64)
Results
14.0ms256×0valid
Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 4.0ms (95.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series3.0ms (0.1%)

Counts
2 → 36
Calls
Call 1
Inputs
#<alt (*.f64 eps #s(literal 2 binary64))>
#<alt (*.f64 x (*.f64 eps #s(literal 2 binary64)))>
Outputs
#<alt (*.f64 #s(literal 2 binary64) eps)>
#<alt (*.f64 #s(literal 2 binary64) eps)>
#<alt (*.f64 #s(literal 2 binary64) eps)>
#<alt (*.f64 #s(literal 2 binary64) eps)>
#<alt (*.f64 #s(literal 2 binary64) eps)>
#<alt (*.f64 #s(literal 2 binary64) eps)>
#<alt (*.f64 #s(literal 2 binary64) eps)>
#<alt (*.f64 #s(literal 2 binary64) eps)>
#<alt (*.f64 #s(literal 2 binary64) eps)>
#<alt (*.f64 #s(literal 2 binary64) eps)>
#<alt (*.f64 #s(literal 2 binary64) eps)>
#<alt (*.f64 #s(literal 2 binary64) eps)>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
Calls

9 calls:

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

rewrite68.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
399×unpow-prod-down
363×log1p-expm1-u
363×expm1-log1p-u
347×add-exp-log
334×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01029
18829
2101229
Stop Event
1×node limit
Counts
2 → 44
Calls
Call 1
Inputs
(*.f64 eps #s(literal 2 binary64))
(*.f64 x (*.f64 eps #s(literal 2 binary64)))
Outputs
(+.f64 eps eps)
(+.f64 #s(literal 0 binary64) (*.f64 eps #s(literal 2 binary64)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) #s(literal 4 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) eps))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) eps))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) eps))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 eps #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 eps #s(literal 2 binary64))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 eps #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 eps #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 eps #s(literal 2 binary64))))) (sqrt.f64 (log.f64 (*.f64 eps #s(literal 2 binary64)))))
(sqrt.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) eps))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 eps #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 eps #s(literal 2 binary64))))
(exp.f64 (log.f64 (*.f64 eps #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 eps #s(literal 2 binary64)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 eps #s(literal 2 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 eps #s(literal 2 binary64)))) #s(literal 2 binary64)))
(+.f64 (*.f64 eps x) (*.f64 eps x))
(+.f64 #s(literal 0 binary64) (*.f64 eps (*.f64 #s(literal 2 binary64) x)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) #s(literal 4 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) eps) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) eps) x))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) eps) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64))
(pow.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x))))) (sqrt.f64 (log.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(sqrt.f64 (pow.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) eps) x))
(cbrt.f64 (pow.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x))))
(log1p.f64 (expm1.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x))))
(exp.f64 (log.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)))) #s(literal 2 binary64)))

simplify87.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
592×prod-exp
471×fma-neg
456×associate-*r*
376×associate-*l*
356×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01271507
12201507
25431495
330331495
457121495
Stop Event
1×node limit
Counts
80 → 64
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) eps)
(*.f64 #s(literal 2 binary64) eps)
(*.f64 #s(literal 2 binary64) eps)
(*.f64 #s(literal 2 binary64) eps)
(*.f64 #s(literal 2 binary64) eps)
(*.f64 #s(literal 2 binary64) eps)
(*.f64 #s(literal 2 binary64) eps)
(*.f64 #s(literal 2 binary64) eps)
(*.f64 #s(literal 2 binary64) eps)
(*.f64 #s(literal 2 binary64) eps)
(*.f64 #s(literal 2 binary64) eps)
(*.f64 #s(literal 2 binary64) eps)
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(+.f64 eps eps)
(+.f64 #s(literal 0 binary64) (*.f64 eps #s(literal 2 binary64)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) #s(literal 4 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) eps))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) eps))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) eps))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 eps #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 eps #s(literal 2 binary64))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 eps #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 eps #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 eps #s(literal 2 binary64))))) (sqrt.f64 (log.f64 (*.f64 eps #s(literal 2 binary64)))))
(sqrt.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) eps))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 eps #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 eps #s(literal 2 binary64))))
(exp.f64 (log.f64 (*.f64 eps #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 eps #s(literal 2 binary64)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 eps #s(literal 2 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 eps #s(literal 2 binary64)))) #s(literal 2 binary64)))
(+.f64 (*.f64 eps x) (*.f64 eps x))
(+.f64 #s(literal 0 binary64) (*.f64 eps (*.f64 #s(literal 2 binary64) x)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) #s(literal 4 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) eps) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) eps) x))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) eps) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64))
(pow.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x))))) (sqrt.f64 (log.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(sqrt.f64 (pow.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) eps) x))
(cbrt.f64 (pow.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x))))
(log1p.f64 (expm1.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x))))
(exp.f64 (log.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)))) #s(literal 2 binary64)))
Outputs
(*.f64 #s(literal 2 binary64) eps)
(*.f64 #s(literal 2 binary64) eps)
(*.f64 #s(literal 2 binary64) eps)
(*.f64 #s(literal 2 binary64) eps)
(*.f64 #s(literal 2 binary64) eps)
(*.f64 #s(literal 2 binary64) eps)
(*.f64 #s(literal 2 binary64) eps)
(*.f64 #s(literal 2 binary64) eps)
(*.f64 #s(literal 2 binary64) eps)
(*.f64 #s(literal 2 binary64) eps)
(*.f64 #s(literal 2 binary64) eps)
(*.f64 #s(literal 2 binary64) eps)
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(+.f64 eps eps)
(*.f64 #s(literal 2 binary64) eps)
(+.f64 #s(literal 0 binary64) (*.f64 eps #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) eps)
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) #s(literal 4 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) eps))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) #s(literal 4 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) #s(literal 2 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) eps))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) eps))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) eps))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (log.f64 (fabs.f64 (exp.f64 eps))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) eps)
(pow.f64 (*.f64 eps #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) eps)
(pow.f64 (cbrt.f64 (*.f64 eps #s(literal 2 binary64))) #s(literal 3 binary64))
(*.f64 #s(literal 2 binary64) eps)
(pow.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 2 binary64) eps)
(pow.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 2 binary64) eps)
(pow.f64 (sqrt.f64 (*.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) eps)
(pow.f64 (E.f64) (log.f64 (*.f64 eps #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) eps)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 eps #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 eps #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) eps))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) eps))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 eps #s(literal 2 binary64))))) (sqrt.f64 (log.f64 (*.f64 eps #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) eps)))) (sqrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) eps))))
(sqrt.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 4 binary64)))
(*.f64 #s(literal 2 binary64) eps)
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) eps))
(*.f64 #s(literal 2 binary64) eps)
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 8 binary64)))
(*.f64 #s(literal 2 binary64) eps)
(expm1.f64 (log1p.f64 (*.f64 eps #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) eps)
(log1p.f64 (expm1.f64 (*.f64 eps #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) eps)
(exp.f64 (log.f64 (*.f64 eps #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) eps)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 eps #s(literal 2 binary64)))) #s(literal 3 binary64)))
(*.f64 #s(literal 2 binary64) eps)
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 eps #s(literal 2 binary64)))) #s(literal 1/3 binary64)))
(*.f64 #s(literal 2 binary64) eps)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 eps #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) eps)
(+.f64 (*.f64 eps x) (*.f64 eps x))
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(+.f64 #s(literal 0 binary64) (*.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) #s(literal 4 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) eps) x))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) #s(literal 4 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) #s(literal 2 binary64)) x))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 eps x)) #s(literal 4 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) (*.f64 #s(literal 2 binary64) x)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) #s(literal 4 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) (*.f64 #s(literal 2 binary64) x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) eps) x))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) eps) x))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) eps) x))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) #s(literal 2 binary64)) x))))
(*.f64 #s(literal 2 binary64) (log.f64 (fabs.f64 (exp.f64 (*.f64 eps x)))))
(*.f64 #s(literal 2 binary64) (log.f64 (fabs.f64 (pow.f64 (exp.f64 eps) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64))
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(pow.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(pow.f64 (cbrt.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64))
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(pow.f64 (pow.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(pow.f64 (pow.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(pow.f64 (sqrt.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(pow.f64 (E.f64) (log.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x))))
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (*.f64 #s(literal 2 binary64) eps)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 x (*.f64 #s(literal 2 binary64) eps)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x))))) (sqrt.f64 (log.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (*.f64 #s(literal 2 binary64) eps))))) (sqrt.f64 (log.f64 (*.f64 x (*.f64 #s(literal 2 binary64) eps)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x))))) (sqrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)))))
(sqrt.f64 (pow.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(log.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) eps) x))
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(cbrt.f64 (pow.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(expm1.f64 (log1p.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x))))
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(log1p.f64 (expm1.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x))))
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(exp.f64 (log.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x))))
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)))) #s(literal 3 binary64)))
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)))) #s(literal 1/3 binary64)))
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)))) #s(literal 2 binary64)))
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))

eval7.0ms (0.1%)

Compiler

Compiled 665 to 212 computations (68.1% saved)

prune11.0ms (0.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New64064
Fresh000
Picked011
Done033
Total64468
Accuracy
100.0%
Counts
68 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.8%
(*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
✓65.2%
(*.f64 x (*.f64 eps #s(literal 2 binary64)))
✓100.0%
(*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))
✓69.7%
(*.f64 eps eps)
Compiler

Compiled 72 to 40 computations (44.4% saved)

regimes8.0ms (0.2%)

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

3 calls:

3.0ms
x
3.0ms
eps
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 11 computations (35.3% saved)

regimes5.0ms (0.1%)

Counts
3 → 3
Calls
Call 1
Inputs
(*.f64 eps eps)
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 x (*.f64 eps #s(literal 2 binary64)))
Outputs
(*.f64 x (*.f64 eps #s(literal 2 binary64)))
(*.f64 eps eps)
(*.f64 x (*.f64 eps #s(literal 2 binary64)))
Calls

2 calls:

3.0ms
x
2.0ms
eps
Results
AccuracySegmentsBranch
92.1%3x
88.2%3eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes2.0ms (0%)

Counts
2 → 3
Calls
Call 1
Inputs
(*.f64 eps eps)
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
Outputs
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 eps eps)
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
Calls

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
92.0%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

2 calls:

1.0ms
eps
1.0ms
x
Results
AccuracySegmentsBranch
69.7%1eps
69.7%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch44.0ms (0.9%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
25.0ms
5.326157364358726e-113
3.4564098977756223e-109
16.0ms
-3.3034991075683004e-73
-1.5259330996910748e-74
Results
23.0ms162×1valid
5.0ms78×0valid
Compiler

Compiled 226 to 161 computations (28.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-pow: 10.0ms (58% of total)
ival-add: 3.0ms (17.4% of total)
ival-sub: 2.0ms (11.6% of total)
backward-pass: 2.0ms (11.6% of total)
const: 0.0ms (0% of total)

bsearch39.0ms (0.8%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
18.0ms
5.326157364358726e-113
3.4564098977756223e-109
18.0ms
-3.3034991075683004e-73
-1.5259330996910748e-74
Results
21.0ms161×1valid
5.0ms79×0valid
Compiler

Compiled 226 to 161 computations (28.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-pow: 9.0ms (57.5% of total)
ival-add: 3.0ms (19.2% of total)
ival-sub: 2.0ms (12.8% of total)
backward-pass: 2.0ms (12.8% of total)
const: 0.0ms (0% of total)

simplify4.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
6×*-commutative
4×if-if-or-not
1×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031167
146167
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -2291665473376297/127314748520905380391777855525586135065716774604121015664758778084648831235208544136462336 binary64)) (*.f64 x (*.f64 eps #s(literal 2 binary64))) (if (<=.f64 x #s(literal 5415370496329717/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288 binary64)) (*.f64 eps eps) (*.f64 x (*.f64 eps #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -1018517988167243/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (if (<=.f64 x #s(literal 5923061480360627/84615164005151820665845159428194693098035799419427996068435045795123941278247852265624218936283556460491675139202989862944768 binary64)) (*.f64 eps eps) (*.f64 #s(literal 2 binary64) (*.f64 eps x))))
(*.f64 eps eps)
Outputs
(*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -2291665473376297/127314748520905380391777855525586135065716774604121015664758778084648831235208544136462336 binary64)) (*.f64 x (*.f64 eps #s(literal 2 binary64))) (if (<=.f64 x #s(literal 5415370496329717/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288 binary64)) (*.f64 eps eps) (*.f64 x (*.f64 eps #s(literal 2 binary64)))))
(if (or (<=.f64 x #s(literal -2291665473376297/127314748520905380391777855525586135065716774604121015664758778084648831235208544136462336 binary64)) (not (<=.f64 x #s(literal 5415370496329717/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288 binary64)))) (*.f64 x (*.f64 eps #s(literal 2 binary64))) (*.f64 eps eps))
(if (<=.f64 x #s(literal -1018517988167243/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (if (<=.f64 x #s(literal 5923061480360627/84615164005151820665845159428194693098035799419427996068435045795123941278247852265624218936283556460491675139202989862944768 binary64)) (*.f64 eps eps) (*.f64 #s(literal 2 binary64) (*.f64 eps x))))
(if (or (<=.f64 x #s(literal -1018517988167243/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 binary64)) (not (<=.f64 x #s(literal 5923061480360627/84615164005151820665845159428194693098035799419427996068435045795123941278247852265624218936283556460491675139202989862944768 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (*.f64 eps eps))
(*.f64 eps eps)

soundness755.0ms (15.2%)

Rules
747×times-frac
595×distribute-lft-in
591×prod-exp
578×sub-neg
549×distribute-rgt-in
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
03805726
18255570
223565465
063711817
1133711227
238699835
028278
157246
2174238
3663196
42246188
55182188
66776188
77401188
87630188
97744188
107777188
Stop Event
1×done
1×node limit
1×node limit
1×node limit
Compiler

Compiled 304 to 97 computations (68.1% saved)

preprocess28.0ms (0.6%)

Compiler

Compiled 114 to 64 computations (43.9% saved)

end0.0ms (0%)

Profiling

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