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

Time bar (total: 6.0s)

analyze0.0ms (0%)

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

Compiled 26 to 19 computations (26.9% saved)

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

sample2.5s (40.9%)

Results
878.0ms5213×0valid
701.0ms2547×1valid
301.0ms496×2valid
Precisions
Click to see histograms. Total time spent on operations: 1.3s
ival-add: 378.0ms (28.7% of total)
ival-pow: 354.0ms (26.9% of total)
ival-<=: 265.0ms (20.1% of total)
backward-pass: 156.0ms (11.8% of total)
ival-sub: 76.0ms (5.8% of total)
const: 45.0ms (3.4% of total)
ival-and: 44.0ms (3.3% of total)
Bogosity

preprocess231.0ms (3.9%)

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

Useful iterations: 4 (0.0ms)

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

explain212.0ms (3.5%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
830-0-(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
00-0-x
092(2.2007877075619114e-121 1.8815872174138292e-187)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
39.0ms316×0valid
47.0ms158×1valid
18.0ms38×2valid
Compiler

Compiled 63 to 36 computations (42.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 59.0ms
ival-pow: 37.0ms (63% of total)
backward-pass: 9.0ms (15.3% of total)
ival-add: 6.0ms (10.2% of total)
ival-sub: 4.0ms (6.8% of total)
const: 3.0ms (5.1% of total)

eval0.0ms (0%)

Compiler

Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
71.8%
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
100.0%
(*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))
Compiler

Compiled 20 to 14 computations (30% saved)

localize100.0ms (1.7%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
100.0%
(pow.f64 (+.f64 x eps) #s(literal 2 binary64))
71.9%
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
100.0%
(*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))
Results
36.0ms158×0valid
31.0ms79×1valid
12.0ms19×2valid
Compiler

Compiled 44 to 24 computations (45.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-pow: 20.0ms (40.2% of total)
ival-mult: 12.0ms (24.1% of total)
backward-pass: 6.0ms (12% of total)
ival-add: 6.0ms (12% of total)
const: 2.0ms (4% of total)
ival-sub: 2.0ms (4% of total)

series10.0ms (0.2%)

Counts
3 → 72
Calls
Call 1
Inputs
#<alt (*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))>
#<alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (pow.f64 (+.f64 x eps) #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 (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 (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 x (+.f64 x (*.f64 #s(literal 2 binary64) eps))) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) eps))) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 eps x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 eps x)) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 eps x)) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 eps x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) x))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))) (pow.f64 x #s(literal 2 binary64)))>
#<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 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))))))>
#<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 -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps))) eps))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps))) eps))))>
Calls

18 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(- (pow (+ x eps) 2) (pow x 2))
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
(- (pow (+ x eps) 2) (pow x 2))

rewrite266.0ms (4.4%)

Algorithm
batch-egg-rewrite
Rules
1175×log1p-expm1-u
1175×expm1-log1p-u
648×fma-define
296×fma-neg
102×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01581
122377
2330177
Stop Event
node limit
Counts
3 → 169
Calls
Call 1
Inputs
(*.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)))
(pow.f64 (+.f64 x eps) #s(literal 2 binary64))
Outputs
(+.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(+.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (pow.f64 eps #s(literal 2 binary64)))
(+.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 3 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)))
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(fma.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 2 binary64))))) (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 (+.f64 eps x) #s(literal 2 binary64)))) (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 (+.f64 eps x) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 (+.f64 eps x) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (neg.f64 x) x (pow.f64 (+.f64 eps x) #s(literal 2 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))))) (cbrt.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (+.f64 eps x) #s(literal 2 binary64)))
(fma.f64 (*.f64 (+.f64 eps x) (sqrt.f64 (+.f64 eps x))) (sqrt.f64 (+.f64 eps x)) (neg.f64 (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (*.f64 (+.f64 eps x) (sqrt.f64 (+.f64 eps x))) (sqrt.f64 (+.f64 eps x)) (*.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (+.f64 eps x) #s(literal 2 binary64)))
(fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)) (pow.f64 (+.f64 eps x) #s(literal 2 binary64)))
(fma.f64 (+.f64 (+.f64 eps x) x) (-.f64 (+.f64 eps x) x) (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (+.f64 (+.f64 eps x) x) (-.f64 (+.f64 eps x) x) (fma.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (+.f64 (+.f64 eps x) x) (-.f64 (+.f64 eps x) x) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (+.f64 eps x) #s(literal 2 binary64)))
(fma.f64 (*.f64 (+.f64 eps x) (pow.f64 (cbrt.f64 (+.f64 eps x)) #s(literal 2 binary64))) (cbrt.f64 (+.f64 eps x)) (neg.f64 (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (*.f64 (+.f64 eps x) (pow.f64 (cbrt.f64 (+.f64 eps x)) #s(literal 2 binary64))) (cbrt.f64 (+.f64 eps x)) (*.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (+.f64 eps x) x) (*.f64 (+.f64 eps x) eps))
(+.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (+.f64 eps x) x))
(+.f64 (*.f64 eps (+.f64 eps x)) (*.f64 x (+.f64 eps x)))
(+.f64 (*.f64 x (+.f64 eps x)) (*.f64 eps (+.f64 eps x)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (+.f64 eps x) (+.f64 eps x))
(*.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 eps x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 eps x)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (+.f64 eps x) #s(literal 4 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 eps x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 eps x)) (+.f64 eps x)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 eps x) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (+.f64 eps x)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (+.f64 eps x)) (*.f64 (sqrt.f64 (+.f64 eps x)) (+.f64 eps x)))
(*.f64 (*.f64 (+.f64 eps x) (sqrt.f64 (+.f64 eps x))) (sqrt.f64 (+.f64 eps x)))
(*.f64 (*.f64 (+.f64 eps x) (pow.f64 (cbrt.f64 (+.f64 eps x)) #s(literal 2 binary64))) (cbrt.f64 (+.f64 eps x)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 (-.f64 x eps) (-.f64 x eps)))
(/.f64 (*.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64))) (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64))) (-.f64 x eps)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (-.f64 x eps) (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 eps x) (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 eps x) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))) (-.f64 x eps))
(/.f64 (*.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 eps x)) (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (+.f64 eps x)) (-.f64 x eps))
(sqrt.f64 (pow.f64 (+.f64 eps x) #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 eps x) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 eps (+.f64 eps x) (*.f64 x (+.f64 eps x)))
(fma.f64 x (+.f64 eps x) (*.f64 eps (+.f64 eps x)))
(fma.f64 (+.f64 eps x) eps (*.f64 (+.f64 eps x) x))
(fma.f64 (+.f64 eps x) x (*.f64 (+.f64 eps x) eps))

simplify133.0ms (2.2%)

Algorithm
egg-herbie
Rules
771×distribute-lft-in
723×distribute-rgt-in
364×times-frac
266×fma-neg
250×cancel-sign-sub-inv
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03979621
19689265
230248590
Stop Event
node limit
Counts
241 → 235
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)))))
(pow.f64 eps #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(pow.f64 eps #s(literal 2 binary64))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(pow.f64 eps #s(literal 2 binary64))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(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 x (+.f64 x (*.f64 #s(literal 2 binary64) eps))) (pow.f64 eps #s(literal 2 binary64)))
(+.f64 (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) eps))) (pow.f64 eps #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 eps x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 eps x)) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 eps x)) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 eps x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) x))))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))) (pow.f64 x #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) (/.f64 x eps)) (/.f64 (pow.f64 x #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 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) (/.f64 (pow.f64 x #s(literal 2 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 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps))) eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps))) eps))))
(+.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(+.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (pow.f64 eps #s(literal 2 binary64)))
(+.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 3 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)))
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(fma.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (+.f64 eps x)) (*.f64 (sqrt.f64 (+.f64 eps x)) (+.f64 eps x)) (neg.f64 (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (+.f64 eps x)) (*.f64 (sqrt.f64 (+.f64 eps x)) (+.f64 eps x)) (*.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 2 binary64))))) (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 (+.f64 eps x) #s(literal 2 binary64)))) (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 (+.f64 eps x) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 (+.f64 eps x) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (neg.f64 x) x (pow.f64 (+.f64 eps x) #s(literal 2 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))))) (cbrt.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (+.f64 eps x) #s(literal 2 binary64)))
(fma.f64 (*.f64 (+.f64 eps x) (sqrt.f64 (+.f64 eps x))) (sqrt.f64 (+.f64 eps x)) (neg.f64 (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (*.f64 (+.f64 eps x) (sqrt.f64 (+.f64 eps x))) (sqrt.f64 (+.f64 eps x)) (*.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (+.f64 eps x) #s(literal 2 binary64)))
(fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)) (pow.f64 (+.f64 eps x) #s(literal 2 binary64)))
(fma.f64 (+.f64 (+.f64 eps x) x) (-.f64 (+.f64 eps x) x) (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (+.f64 (+.f64 eps x) x) (-.f64 (+.f64 eps x) x) (fma.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (+.f64 (+.f64 eps x) x) (-.f64 (+.f64 eps x) x) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (+.f64 eps x) #s(literal 2 binary64)))
(fma.f64 (*.f64 (+.f64 eps x) (pow.f64 (cbrt.f64 (+.f64 eps x)) #s(literal 2 binary64))) (cbrt.f64 (+.f64 eps x)) (neg.f64 (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (*.f64 (+.f64 eps x) (pow.f64 (cbrt.f64 (+.f64 eps x)) #s(literal 2 binary64))) (cbrt.f64 (+.f64 eps x)) (*.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (+.f64 eps x) x) (*.f64 (+.f64 eps x) eps))
(+.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (+.f64 eps x) x))
(+.f64 (*.f64 eps (+.f64 eps x)) (*.f64 x (+.f64 eps x)))
(+.f64 (*.f64 x (+.f64 eps x)) (*.f64 eps (+.f64 eps x)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (+.f64 eps x) (+.f64 eps x))
(*.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 eps x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 eps x)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (+.f64 eps x) #s(literal 4 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 eps x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 eps x)) (+.f64 eps x)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 eps x) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (+.f64 eps x)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (+.f64 eps x)) (*.f64 (sqrt.f64 (+.f64 eps x)) (+.f64 eps x)))
(*.f64 (*.f64 (+.f64 eps x) (sqrt.f64 (+.f64 eps x))) (sqrt.f64 (+.f64 eps x)))
(*.f64 (*.f64 (+.f64 eps x) (pow.f64 (cbrt.f64 (+.f64 eps x)) #s(literal 2 binary64))) (cbrt.f64 (+.f64 eps x)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 (-.f64 x eps) (-.f64 x eps)))
(/.f64 (*.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64))) (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64))) (-.f64 x eps)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (-.f64 x eps) (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 eps x) (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 eps x) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))) (-.f64 x eps))
(/.f64 (*.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 eps x)) (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (+.f64 eps x)) (-.f64 x eps))
(sqrt.f64 (pow.f64 (+.f64 eps x) #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 eps x) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 eps (+.f64 eps x) (*.f64 x (+.f64 eps x)))
(fma.f64 x (+.f64 eps x) (*.f64 eps (+.f64 eps x)))
(fma.f64 (+.f64 eps x) eps (*.f64 (+.f64 eps x) x))
(fma.f64 (+.f64 eps x) x (*.f64 (+.f64 eps x) eps))
Outputs
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 (*.f64 #s(literal 2 binary64) eps) x)
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(pow.f64 eps #s(literal 2 binary64))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (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 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 (*.f64 #s(literal 2 binary64) 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 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 (*.f64 #s(literal 2 binary64) 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 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))))
(pow.f64 eps #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 (*.f64 #s(literal 2 binary64) 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 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 (*.f64 #s(literal 2 binary64) 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 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) (*.f64 eps x))
(*.f64 (*.f64 #s(literal 2 binary64) eps) x)
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(pow.f64 eps #s(literal 2 binary64))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
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(/.f64 (*.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64))) (-.f64 x eps)))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (*.f64 (-.f64 x eps) (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))) (-.f64 x eps))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (-.f64 x eps) (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (*.f64 (-.f64 x eps) (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))) (-.f64 x eps))
(/.f64 (*.f64 (+.f64 eps x) (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (+.f64 eps x) (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 eps x) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))) (-.f64 x eps))
(*.f64 (+.f64 eps x) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (-.f64 x eps)))
(/.f64 (*.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 eps x)) (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (+.f64 eps x) (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (+.f64 eps x)) (-.f64 x eps))
(*.f64 (+.f64 eps x) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (-.f64 x eps)))
(sqrt.f64 (pow.f64 (+.f64 eps x) #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64))))
(fma.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) eps)) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 eps (fma.f64 #s(literal 2 binary64) x eps) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (+.f64 eps x) #s(literal 2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)))))
(fma.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) eps)) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 eps (fma.f64 #s(literal 2 binary64) x eps) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (+.f64 eps x) #s(literal 2 binary64))
(cbrt.f64 (pow.f64 (+.f64 eps x) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64))))
(fma.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) eps)) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 eps (fma.f64 #s(literal 2 binary64) x eps) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (+.f64 eps x) #s(literal 2 binary64))
(exp.f64 (log.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64))))
(fma.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) eps)) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 eps (fma.f64 #s(literal 2 binary64) x eps) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (+.f64 eps x) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) eps)) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 eps (fma.f64 #s(literal 2 binary64) x eps) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (+.f64 eps x) #s(literal 2 binary64))
(fma.f64 eps (+.f64 eps x) (*.f64 x (+.f64 eps x)))
(fma.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) eps)) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 eps (fma.f64 #s(literal 2 binary64) x eps) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (+.f64 eps x) #s(literal 2 binary64))
(fma.f64 x (+.f64 eps x) (*.f64 eps (+.f64 eps x)))
(fma.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) eps)) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 eps (fma.f64 #s(literal 2 binary64) x eps) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (+.f64 eps x) #s(literal 2 binary64))
(fma.f64 (+.f64 eps x) eps (*.f64 (+.f64 eps x) x))
(fma.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) eps)) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 eps (fma.f64 #s(literal 2 binary64) x eps) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (+.f64 eps x) #s(literal 2 binary64))
(fma.f64 (+.f64 eps x) x (*.f64 (+.f64 eps x) eps))
(fma.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) eps)) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 eps (fma.f64 #s(literal 2 binary64) x eps) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (+.f64 eps x) #s(literal 2 binary64))

eval93.0ms (1.6%)

Compiler

Compiled 4185 to 2493 computations (40.4% saved)

prune34.0ms (0.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New2314235
Fresh000
Picked112
Done000
Total2325237
Accuracy
100.0%
Counts
237 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 eps eps (*.f64 eps (*.f64 x #s(literal 2 binary64))))
63.3%
(*.f64 (*.f64 #s(literal 2 binary64) eps) x)
99.8%
(*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
100.0%
(*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))
63.3%
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
Compiler

Compiled 44 to 29 computations (34.1% saved)

localize111.0ms (1.9%)

Localize:

Found 5 expressions with local error:

NewAccuracyProgram
100.0%
(fma.f64 eps eps (*.f64 eps (*.f64 x #s(literal 2 binary64))))
100.0%
(+.f64 #s(literal 2 binary64) (/.f64 eps x))
99.8%
(*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
99.8%
(*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
100.0%
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
Results
66.0ms256×0valid
Compiler

Compiled 71 to 34 computations (52.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-mult: 26.0ms (68.1% of total)
ival-add: 4.0ms (10.5% of total)
ival-div: 3.0ms (7.9% of total)
ival-fma: 3.0ms (7.9% of total)
const: 2.0ms (5.2% of total)
backward-pass: 0.0ms (0% of total)

series15.0ms (0.2%)

Counts
5 → 84
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<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 (fma.f64 eps eps (*.f64 eps (*.f64 x #s(literal 2 binary64))))>
Outputs
#<alt (*.f64 #s(literal 2 binary64) eps)>
#<alt (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64))) x)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64))) x)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64))) x)>
#<alt (*.f64 #s(literal 2 binary64) eps)>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal 2 binary64) eps)>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<alt (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))>
#<alt (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))>
#<alt (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<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)>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<alt (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))>
#<alt (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))>
#<alt (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
Calls

30 calls:

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

rewrite197.0ms (3.3%)

Algorithm
batch-egg-rewrite
Rules
710×log1p-expm1-u
710×expm1-log1p-u
702×log-prod
473×prod-diff
333×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
018136
1258131
23297131
Stop Event
node limit
Counts
5 → 284
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.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))
(fma.f64 eps eps (*.f64 eps (*.f64 x #s(literal 2 binary64))))
Outputs
(+.f64 (*.f64 eps x) (*.f64 eps x))
(+.f64 #s(literal 0 binary64) (*.f64 eps (*.f64 #s(literal 2 binary64) x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) #s(literal 2 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) #s(literal 2 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) #s(literal 2 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) #s(literal 2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 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 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))))) #s(literal 1 binary64))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
(*.f64 (cbrt.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (pow.f64 (cbrt.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(*.f64 (sqrt.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sqrt.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(/.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (pow.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (-.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 eps (*.f64 #s(literal 2 binary64) x))))
(pow.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(log.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) #s(literal 2 binary64)) (exp.f64 (pow.f64 eps #s(literal 2 binary64)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)))) (exp.f64 (pow.f64 eps #s(literal 2 binary64)))))
(log.f64 (*.f64 (exp.f64 (pow.f64 eps #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(cbrt.f64 (pow.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(log1p.f64 (expm1.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(exp.f64 (log.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) #s(literal 1 binary64)))

simplify401.0ms (6.7%)

Algorithm
egg-herbie
Rules
359×exp-prod
332×cube-prod
308×associate-/l*
306×times-frac
268×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
055512335
1119111459
2330810092
3739810092
Stop Event
node limit
Counts
368 → 344
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) eps)
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64))) x)
(/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64))) x)
(/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64))) x)
(*.f64 #s(literal 2 binary64) eps)
(+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 #s(literal 2 binary64) eps)
(+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(pow.f64 eps #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(pow.f64 eps #s(literal 2 binary64))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(pow.f64 eps #s(literal 2 binary64))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
#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) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 eps (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) 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) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 eps (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 eps x)
(/.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) x)
(/.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) x)
(/.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) x)
#s(literal 2 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(pow.f64 eps #s(literal 2 binary64))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(pow.f64 eps #s(literal 2 binary64))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(pow.f64 eps #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(+.f64 (*.f64 eps x) (*.f64 eps x))
(+.f64 #s(literal 0 binary64) (*.f64 eps (*.f64 #s(literal 2 binary64) x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) #s(literal 2 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) #s(literal 2 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) #s(literal 2 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) #s(literal 2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 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 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(cbrt.f64 (pow.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 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 (*.f64 eps (*.f64 #s(literal 2 binary64) x))) #s(literal 1 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 (+.f64 #s(literal 2 binary64) (/.f64 eps x))) eps)) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 2 binary64) (/.f64 eps x))) eps)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 2 binary64) (/.f64 eps x))) eps))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 2 binary64) (/.f64 eps x))) eps))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 2 binary64) (/.f64 eps x))) eps))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 #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)))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64)) eps) (fma.f64 (/.f64 eps x) (-.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal 4 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (/.f64 eps x) #s(literal 2 binary64))) eps) (-.f64 #s(literal 2 binary64) (/.f64 eps x)))
(pow.f64 (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 2 binary64) (/.f64 eps x))) eps))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))))
(log.f64 (*.f64 (exp.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (exp.f64 (*.f64 #s(literal 2 binary64) eps))))
(cbrt.f64 (pow.f64 (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) (/.f64 eps x)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (/.f64 eps x)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))))
(log1p.f64 (expm1.f64 (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))))
(exp.f64 (log.f64 (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) eps (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(fma.f64 eps #s(literal 2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(fma.f64 eps (/.f64 eps x) (*.f64 #s(literal 2 binary64) eps))
(fma.f64 (/.f64 eps x) eps (*.f64 #s(literal 2 binary64) eps))
(fma.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 2 binary64) eps))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(fma.f64 #s(literal 1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (*.f64 #s(literal 2 binary64) eps))
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(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 eps (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(fma.f64 (*.f64 eps (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 eps x) (/.f64 eps x)))
(fma.f64 (*.f64 eps (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) x))
(fma.f64 (*.f64 eps (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (/.f64 eps x) (*.f64 eps x)))
(fma.f64 (*.f64 eps (sqrt.f64 (*.f64 #s(literal 2 binary64) x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(fma.f64 (*.f64 eps (sqrt.f64 (*.f64 #s(literal 2 binary64) x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 eps x) (/.f64 eps x)))
(fma.f64 (*.f64 eps (sqrt.f64 (*.f64 #s(literal 2 binary64) x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) x))
(fma.f64 (*.f64 eps (sqrt.f64 (*.f64 #s(literal 2 binary64) x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (/.f64 eps x) (*.f64 eps x)))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (cbrt.f64 eps) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (cbrt.f64 eps) (*.f64 (*.f64 eps x) (/.f64 eps x)))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (cbrt.f64 eps) (*.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) x))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (cbrt.f64 eps) (*.f64 (/.f64 eps x) (*.f64 eps x)))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 eps)) (sqrt.f64 eps) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 eps)) (sqrt.f64 eps) (*.f64 (*.f64 eps x) (/.f64 eps x)))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 eps)) (sqrt.f64 eps) (*.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) x))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 eps)) (sqrt.f64 eps) (*.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 #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))
(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)))
(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 (*.f64 eps (*.f64 #s(literal 2 binary64) x)) (pow.f64 eps #s(literal 2 binary64)))
(+.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 eps (*.f64 #s(literal 2 binary64) x)))
(+.f64 #s(literal 0 binary64) (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
(+.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 eps (*.f64 #s(literal 2 binary64) x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))))) (cbrt.f64 (exp.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))))) #s(literal 1 binary64))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
(*.f64 (cbrt.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (pow.f64 (cbrt.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(*.f64 (sqrt.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sqrt.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(/.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (pow.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (-.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 eps (*.f64 #s(literal 2 binary64) x))))
(pow.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(log.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) #s(literal 2 binary64)) (exp.f64 (pow.f64 eps #s(literal 2 binary64)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)))) (exp.f64 (pow.f64 eps #s(literal 2 binary64)))))
(log.f64 (*.f64 (exp.f64 (pow.f64 eps #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(cbrt.f64 (pow.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(log1p.f64 (expm1.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(exp.f64 (log.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal 2 binary64) eps)
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64))) x)
(/.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))) x)
(*.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)
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(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 (*.f64 eps (*.f64 #s(literal 2 binary64) 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 (pow.f64 eps #s(literal 2 binary64)) (*.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 #s(literal 0 binary64) (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(+.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))))) (cbrt.f64 (exp.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) (+.f64 #s(literal 2 binary64) (/.f64 eps x)))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) (+.f64 #s(literal 2 binary64) (/.f64 eps x)))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) (+.f64 #s(literal 2 binary64) (/.f64 eps x))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 #s(literal 2 binary64) x eps))) (cbrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 #s(literal 2 binary64) x eps))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 #s(literal 2 binary64) x eps)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) (+.f64 #s(literal 2 binary64) (/.f64 eps x))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 #s(literal 2 binary64) x eps)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))))) #s(literal 1 binary64))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 (cbrt.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (pow.f64 (cbrt.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) #s(literal 2 binary64)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 (sqrt.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sqrt.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(/.f64 (+.f64 (pow.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) #s(literal 2 binary64)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) x)))))
(/.f64 (+.f64 (*.f64 #s(literal 8 binary64) (pow.f64 (*.f64 eps x) #s(literal 3 binary64))) (pow.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 2 binary64)) x)) (pow.f64 eps #s(literal 4 binary64))))
(/.f64 (+.f64 (*.f64 #s(literal 8 binary64) (pow.f64 (*.f64 eps x) #s(literal 3 binary64))) (pow.f64 eps #s(literal 6 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) eps) (-.f64 (*.f64 #s(literal 2 binary64) x) eps)) (pow.f64 eps #s(literal 4 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (pow.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (-.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 eps (*.f64 #s(literal 2 binary64) x))))
(/.f64 (-.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) #s(literal 2 binary64))) (-.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 eps x))))
(/.f64 (-.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) #s(literal 2 binary64))) (*.f64 eps (-.f64 eps (*.f64 #s(literal 2 binary64) x))))
(/.f64 (-.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) #s(literal 2 binary64))) (*.f64 eps (+.f64 eps (*.f64 x #s(literal -2 binary64)))))
(pow.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(pow.f64 (cbrt.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) #s(literal 3 binary64))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(pow.f64 (pow.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(pow.f64 (sqrt.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) #s(literal 2 binary64))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(sqrt.f64 (pow.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(log.f64 (exp.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(log.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) #s(literal 2 binary64)) (exp.f64 (pow.f64 eps #s(literal 2 binary64)))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)))) (exp.f64 (pow.f64 eps #s(literal 2 binary64)))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(log.f64 (*.f64 (exp.f64 (pow.f64 eps #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.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))
(cbrt.f64 (pow.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(expm1.f64 (log1p.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(log1p.f64 (expm1.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(exp.f64 (log.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) #s(literal 1 binary64)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))

eval137.0ms (2.3%)

Compiler

Compiled 5295 to 2841 computations (46.3% saved)

prune56.0ms (0.9%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New3422344
Fresh000
Picked134
Done011
Total3436349
Accuracy
100.0%
Counts
349 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
91.2%
(+.f64 (*.f64 (/.f64 eps x) (*.f64 eps x)) (*.f64 eps (*.f64 #s(literal 2 binary64) x)))
63.3%
(*.f64 (*.f64 #s(literal 2 binary64) eps) x)
99.8%
(*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
99.6%
(*.f64 x (*.f64 eps (*.f64 eps (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))))
100.0%
(*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))
63.3%
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
Compiler

Compiled 64 to 42 computations (34.4% saved)

localize194.0ms (3.2%)

Localize:

Found 6 expressions with local error:

NewAccuracyProgram
99.9%
(+.f64 (*.f64 (/.f64 eps x) (*.f64 eps x)) (*.f64 eps (*.f64 #s(literal 2 binary64) x)))
91.1%
(*.f64 (/.f64 eps x) (*.f64 eps x))
100.0%
(+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x))
99.8%
(*.f64 x (*.f64 eps (*.f64 eps (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))))
99.8%
(*.f64 eps (*.f64 eps (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x))))
99.7%
(*.f64 eps (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
Results
159.0ms256×0valid
Compiler

Compiled 90 to 48 computations (46.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 59.0ms
ival-mult: 28.0ms (47.2% of total)
ival-div: 22.0ms (37.1% of total)
ival-add: 6.0ms (10.1% of total)
const: 3.0ms (5.1% of total)
backward-pass: 0.0ms (0% of total)

series16.0ms (0.3%)

Counts
6 → 144
Calls
Call 1
Inputs
#<alt (*.f64 eps (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 eps (*.f64 eps (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 x (*.f64 eps (*.f64 eps (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 (/.f64 eps x) (*.f64 eps x))>
#<alt (+.f64 (*.f64 (/.f64 eps x) (*.f64 eps x)) (*.f64 eps (*.f64 #s(literal 2 binary64) x)))>
Outputs
#<alt #s(literal 2 binary64)>
#<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 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 (+.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 #s(literal 2 binary64)>
#<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) eps)>
#<alt (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))>
#<alt (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))>
#<alt (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps 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 (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 (/.f64 #s(literal 2 binary64) eps)>
#<alt (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 eps x)) eps)>
#<alt (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 eps x)) eps)>
#<alt (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 eps x)) eps)>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))) x)>
#<alt (/.f64 #s(literal 2 binary64) eps)>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x))>
#<alt (/.f64 #s(literal 2 binary64) eps)>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<alt (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))>
#<alt (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))>
#<alt (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
Calls

36 calls:

TimeVariablePointExpression
3.0ms
x
@0
(* eps (+ (/ 2 eps) (/ 1 x)))
1.0ms
eps
@-inf
(* eps (+ (/ 2 eps) (/ 1 x)))
0.0ms
x
@0
(* x (* eps (* eps (+ (/ 2 eps) (/ 1 x)))))
0.0ms
eps
@0
(* eps (+ (/ 2 eps) (/ 1 x)))
0.0ms
eps
@-inf
(* x (* eps (* eps (+ (/ 2 eps) (/ 1 x)))))

rewrite176.0ms (2.9%)

Algorithm
batch-egg-rewrite
Rules
1116×log1p-expm1-u
637×expm1-log1p-u
203×associate-*r*
152×add-exp-log
152×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
021236
1347218
25319218
Stop Event
node limit
Counts
6 → 190
Calls
Call 1
Inputs
(*.f64 eps (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(*.f64 eps (*.f64 eps (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (*.f64 eps (*.f64 eps (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))))
(+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 eps x) (*.f64 eps x))
(+.f64 (*.f64 (/.f64 eps x) (*.f64 eps x)) (*.f64 eps (*.f64 #s(literal 2 binary64) x)))
Outputs
(+.f64 (/.f64 eps x) (*.f64 eps (/.f64 #s(literal 2 binary64) eps)))
(+.f64 (*.f64 eps (/.f64 #s(literal 2 binary64) eps)) (/.f64 eps x))
(+.f64 (*.f64 (*.f64 eps (/.f64 #s(literal 2 binary64) eps)) #s(literal 1 binary64)) (/.f64 eps x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 eps (/.f64 #s(literal 2 binary64) eps) (/.f64 eps x)))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 eps (/.f64 #s(literal 2 binary64) eps)) #s(literal 3 binary64)) (pow.f64 (/.f64 eps x) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 eps (/.f64 #s(literal 2 binary64) eps)) (*.f64 eps (/.f64 #s(literal 2 binary64) eps))) (-.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) (*.f64 (*.f64 eps (/.f64 #s(literal 2 binary64) eps)) (/.f64 eps x)))))
(/.f64 (-.f64 (*.f64 (*.f64 eps (/.f64 #s(literal 2 binary64) eps)) (*.f64 eps (/.f64 #s(literal 2 binary64) eps))) (pow.f64 (/.f64 eps x) #s(literal 2 binary64))) (-.f64 (*.f64 eps (/.f64 #s(literal 2 binary64) eps)) (/.f64 eps x)))
(/.f64 (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) (*.f64 eps x))
(/.f64 (*.f64 eps (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal -3 binary64)))) (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) eps) x))))
(/.f64 (*.f64 eps (-.f64 (/.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64))) (pow.f64 x #s(literal -2 binary64)))) (-.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) (*.f64 eps x))
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal -3 binary64))) eps) (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) eps) x))))
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64))) (pow.f64 x #s(literal -2 binary64))) eps) (-.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(pow.f64 (fma.f64 eps (/.f64 #s(literal 2 binary64) eps) (/.f64 eps x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 eps (/.f64 #s(literal 2 binary64) eps) (/.f64 eps x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 eps (/.f64 #s(literal 2 binary64) eps) (/.f64 eps x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 eps (/.f64 #s(literal 2 binary64) eps) (/.f64 eps x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 eps (/.f64 #s(literal 2 binary64) eps) (/.f64 eps x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 eps (/.f64 #s(literal 2 binary64) eps) (/.f64 eps x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 eps (/.f64 #s(literal 2 binary64) eps) (/.f64 eps x)))))
(cbrt.f64 (pow.f64 (fma.f64 eps (/.f64 #s(literal 2 binary64) eps) (/.f64 eps x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (fma.f64 eps (/.f64 #s(literal 2 binary64) eps) (/.f64 eps x))))
(log1p.f64 (expm1.f64 (fma.f64 eps (/.f64 #s(literal 2 binary64) eps) (/.f64 eps x))))
(exp.f64 (log.f64 (fma.f64 eps (/.f64 #s(literal 2 binary64) eps) (/.f64 eps x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 eps (/.f64 #s(literal 2 binary64) eps) (/.f64 eps x))) #s(literal 1 binary64)))
(fma.f64 eps (/.f64 #s(literal 2 binary64) eps) (/.f64 eps x))
(fma.f64 (/.f64 #s(literal 2 binary64) eps) eps (/.f64 eps x))
(+.f64 (*.f64 eps (*.f64 eps (/.f64 #s(literal 2 binary64) eps))) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(+.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) eps)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) eps)))
(+.f64 (*.f64 (*.f64 eps (/.f64 #s(literal 2 binary64) eps)) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(+.f64 (*.f64 (/.f64 #s(literal 2 binary64) eps) (pow.f64 eps #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 eps #s(literal 2 binary64))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 eps #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 2 binary64) eps) (pow.f64 eps #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x eps)) (*.f64 eps x))
(/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal -3 binary64)))) (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) eps) x))))
(/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64))) (pow.f64 x #s(literal -2 binary64)))) (-.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(pow.f64 (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)) (pow.f64 eps #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 eps (sqrt.f64 (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)) (pow.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 eps #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)) (pow.f64 eps #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)) (pow.f64 eps #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (fma.f64 eps (/.f64 #s(literal 2 binary64) eps) (/.f64 eps x)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 eps (/.f64 #s(literal 2 binary64) eps) (/.f64 eps x)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)) (pow.f64 eps #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)) (pow.f64 eps #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)) (pow.f64 eps #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 eps x) (*.f64 eps (/.f64 #s(literal 2 binary64) eps))) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) x))
(+.f64 (*.f64 (*.f64 eps (/.f64 #s(literal 2 binary64) eps)) (*.f64 eps x)) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)) (pow.f64 eps #s(literal 2 binary64)))))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 3 binary64))
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(/.f64 (-.f64 (pow.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) x) #s(literal 2 binary64))) (-.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) x)))
(pow.f64 (*.f64 x (+.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (*.f64 eps #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (*.f64 eps #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (*.f64 eps #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (*.f64 eps #s(literal 2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (*.f64 eps #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 x (+.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (*.f64 eps #s(literal 2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (+.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (*.f64 eps #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (*.f64 eps #s(literal 2 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (*.f64 eps #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (*.f64 eps #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.f64 x (+.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (*.f64 eps #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (*.f64 eps #s(literal 2 binary64))))) #s(literal 1 binary64)))
(fma.f64 eps (*.f64 #s(literal 2 binary64) x) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) x))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) x) (*.f64 eps (*.f64 #s(literal 2 binary64) x)))
(fma.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 #s(literal 2 binary64) x)) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) x))
(fma.f64 (/.f64 eps x) (*.f64 eps x) (*.f64 eps (*.f64 #s(literal 2 binary64) x)))
(fma.f64 (*.f64 eps x) (/.f64 eps x) (*.f64 eps (*.f64 #s(literal 2 binary64) x)))
(fma.f64 (*.f64 #s(literal 2 binary64) x) eps (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) x)) (*.f64 eps (*.f64 #s(literal 2 binary64) x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x))) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) x))
(fma.f64 (sqrt.f64 (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) x)) (sqrt.f64 (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) x)) (*.f64 eps (*.f64 #s(literal 2 binary64) x)))
(fma.f64 (sqrt.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x))) (sqrt.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x))) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) x))
(fma.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) x (*.f64 eps (*.f64 #s(literal 2 binary64) x)))
(fma.f64 (*.f64 eps #s(literal 2 binary64)) x (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) x))

simplify146.0ms (2.4%)

Algorithm
egg-herbie
Rules
821×fma-define
384×cancel-sign-sub-inv
333×distribute-lft-neg-in
307×distribute-rgt-neg-in
294×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
047810248
111289272
239399140
Stop Event
node limit
Counts
334 → 264
Calls
Call 1
Inputs
#s(literal 2 binary64)
(+.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 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) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 eps (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) 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) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 eps (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 eps x)
(/.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) x)
(/.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) x)
(/.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) x)
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (/.f64 eps x))
(+.f64 #s(literal 2 binary64) (/.f64 eps x))
(+.f64 #s(literal 2 binary64) (/.f64 eps x))
#s(literal 2 binary64)
(+.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) eps)
(*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
(*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps 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) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64))) x)
(/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64))) x)
(/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64))) x)
(*.f64 #s(literal 2 binary64) eps)
(+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 #s(literal 2 binary64) eps)
(+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(pow.f64 eps #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(pow.f64 eps #s(literal 2 binary64))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(pow.f64 eps #s(literal 2 binary64))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(/.f64 #s(literal 2 binary64) eps)
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 eps x)) eps)
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 eps x)) eps)
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 eps x)) eps)
(/.f64 #s(literal 1 binary64) x)
(+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))) x)
(/.f64 #s(literal 2 binary64) eps)
(+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 2 binary64) eps)
(+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(pow.f64 eps #s(literal 2 binary64))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(pow.f64 eps #s(literal 2 binary64))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(pow.f64 eps #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(+.f64 (/.f64 eps x) (*.f64 eps (/.f64 #s(literal 2 binary64) eps)))
(+.f64 (*.f64 eps (/.f64 #s(literal 2 binary64) eps)) (/.f64 eps x))
(+.f64 (*.f64 (*.f64 eps (/.f64 #s(literal 2 binary64) eps)) #s(literal 1 binary64)) (/.f64 eps x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 eps (/.f64 #s(literal 2 binary64) eps) (/.f64 eps x)))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 eps (/.f64 #s(literal 2 binary64) eps)) #s(literal 3 binary64)) (pow.f64 (/.f64 eps x) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 eps (/.f64 #s(literal 2 binary64) eps)) (*.f64 eps (/.f64 #s(literal 2 binary64) eps))) (-.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) (*.f64 (*.f64 eps (/.f64 #s(literal 2 binary64) eps)) (/.f64 eps x)))))
(/.f64 (-.f64 (*.f64 (*.f64 eps (/.f64 #s(literal 2 binary64) eps)) (*.f64 eps (/.f64 #s(literal 2 binary64) eps))) (pow.f64 (/.f64 eps x) #s(literal 2 binary64))) (-.f64 (*.f64 eps (/.f64 #s(literal 2 binary64) eps)) (/.f64 eps x)))
(/.f64 (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) (*.f64 eps x))
(/.f64 (*.f64 eps (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal -3 binary64)))) (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) eps) x))))
(/.f64 (*.f64 eps (-.f64 (/.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64))) (pow.f64 x #s(literal -2 binary64)))) (-.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) (*.f64 eps x))
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal -3 binary64))) eps) (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) eps) x))))
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(/.f64 (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) x))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) x)))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) x)))
(exp.f64 (log.f64 (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (*.f64 eps #s(literal 2 binary64)))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) x) #s(literal 2 binary64)) (*.f64 x (-.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (*.f64 eps #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (*.f64 x (-.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (*.f64 eps #s(literal 2 binary64))))))
(*.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (*.f64 eps #s(literal 2 binary64)))))
(*.f64 x (+.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (*.f64 eps #s(literal 2 binary64))))
(*.f64 x (+.f64 (*.f64 eps #s(literal 2 binary64)) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 (*.f64 x (+.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (*.f64 eps #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (*.f64 x (+.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (*.f64 eps #s(literal 2 binary64))))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (*.f64 eps #s(literal 2 binary64))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (*.f64 eps #s(literal 2 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (+.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (*.f64 eps #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 (*.f64 x (+.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (*.f64 eps #s(literal 2 binary64))))) (sqrt.f64 (*.f64 x (+.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (*.f64 eps #s(literal 2 binary64))))))
(*.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) x) #s(literal 3 binary64)) (pow.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) x) #s(literal 2 binary64)) (*.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)) (-.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) x))))))
(*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) x) #s(literal 2 binary64)) (pow.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (*.f64 eps #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) x) #s(literal 2 binary64)) (*.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)) (-.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) x)))) (+.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) x) #s(literal 3 binary64)) (pow.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (*.f64 eps #s(literal 2 binary64)))) (-.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) x) #s(literal 2 binary64)) (pow.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) x) #s(literal 3 binary64)) (pow.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) x) #s(literal 2 binary64)) (*.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)) (-.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) x)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) x) #s(literal 3 binary64)) (pow.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) x) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) x) (*.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) x) #s(literal 2 binary64)) (pow.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (*.f64 x (-.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (*.f64 eps #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) x) #s(literal 3 binary64)) (pow.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) x) #s(literal 2 binary64)) (*.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)) (-.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) x) #s(literal 2 binary64)) (pow.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))) (neg.f64 (*.f64 x (-.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (*.f64 eps #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) x) #s(literal 2 binary64))) (-.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) x)))
(pow.f64 (*.f64 x (+.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (*.f64 eps #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (*.f64 eps #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (*.f64 eps #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (*.f64 eps #s(literal 2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (*.f64 eps #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 x (+.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (*.f64 eps #s(literal 2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (+.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (*.f64 eps #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (*.f64 eps #s(literal 2 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (*.f64 eps #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (*.f64 eps #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.f64 x (+.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (*.f64 eps #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (*.f64 eps #s(literal 2 binary64))))) #s(literal 1 binary64)))
(fma.f64 eps (*.f64 #s(literal 2 binary64) x) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) x))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) x) (*.f64 eps (*.f64 #s(literal 2 binary64) x)))
(fma.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 #s(literal 2 binary64) x)) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) x))
(fma.f64 (/.f64 eps x) (*.f64 eps x) (*.f64 eps (*.f64 #s(literal 2 binary64) x)))
(fma.f64 (*.f64 eps x) (/.f64 eps x) (*.f64 eps (*.f64 #s(literal 2 binary64) x)))
(fma.f64 (*.f64 #s(literal 2 binary64) x) eps (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) x)) (*.f64 eps (*.f64 #s(literal 2 binary64) x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x))) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) x))
(fma.f64 (sqrt.f64 (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) x)) (sqrt.f64 (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) x)) (*.f64 eps (*.f64 #s(literal 2 binary64) x)))
(fma.f64 (sqrt.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x))) (sqrt.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x))) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) x))
(fma.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) x (*.f64 eps (*.f64 #s(literal 2 binary64) x)))
(fma.f64 (*.f64 eps #s(literal 2 binary64)) x (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) x))
Outputs
#s(literal 2 binary64)
(+.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 x)
(*.f64 eps (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) 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 #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 #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 #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 #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 #s(literal 2 binary64) (/.f64 eps x))
(/.f64 eps x)
(/.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) x)
(/.f64 (fma.f64 #s(literal 2 binary64) x eps) x)
(/.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) x)
(/.f64 (fma.f64 #s(literal 2 binary64) x eps) x)
(/.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) x)
(/.f64 (fma.f64 #s(literal 2 binary64) x eps) x)
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (/.f64 eps x))
(+.f64 #s(literal 2 binary64) (/.f64 eps x))
(+.f64 #s(literal 2 binary64) (/.f64 eps x))
#s(literal 2 binary64)
(+.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) eps)
(*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
(*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps 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 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 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 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 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 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 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 (fma.f64 #s(literal 2 binary64) x eps)) 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 (fma.f64 #s(literal 2 binary64) x eps)) 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 (fma.f64 #s(literal 2 binary64) x eps)) 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 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 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 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 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
(*.f64 #s(literal 2 binary64) eps)
(+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 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 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 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 (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 eps (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x 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 eps (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
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(expm1.f64 (log1p.f64 (*.f64 x (+.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (*.f64 eps #s(literal 2 binary64))))))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) eps))))))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))))
(+.f64 #s(literal -1 binary64) (fma.f64 eps (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (*.f64 eps #s(literal 2 binary64))))))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(exp.f64 (log.f64 (*.f64 x (+.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (*.f64 eps #s(literal 2 binary64))))))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (*.f64 eps #s(literal 2 binary64))))) #s(literal 1 binary64)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 eps (*.f64 #s(literal 2 binary64) x) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) x))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) x) (*.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 #s(literal 2 binary64) x)) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) x))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (/.f64 eps x) (*.f64 eps x) (*.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (*.f64 eps x) (/.f64 eps x) (*.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (*.f64 #s(literal 2 binary64) x) eps (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) x))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) x)) (*.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x))) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) x))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (sqrt.f64 (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) x)) (sqrt.f64 (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) x)) (*.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (sqrt.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x))) (sqrt.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x))) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) x))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) x (*.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (*.f64 eps #s(literal 2 binary64)) x (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) x))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))

eval106.0ms (1.8%)

Compiler

Compiled 4907 to 3163 computations (35.5% saved)

prune41.0ms (0.7%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New2631264
Fresh000
Picked112
Done044
Total2646270
Accuracy
100.0%
Counts
270 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
91.2%
(+.f64 (*.f64 (/.f64 eps x) (*.f64 eps x)) (*.f64 eps (*.f64 #s(literal 2 binary64) x)))
63.3%
(*.f64 (*.f64 #s(literal 2 binary64) eps) x)
99.8%
(*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
67.7%
(*.f64 x (*.f64 eps (*.f64 eps (/.f64 #s(literal 1 binary64) x))))
100.0%
(*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))
63.3%
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
Compiler

Compiled 60 to 39 computations (35% saved)

localize55.0ms (0.9%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
99.7%
(*.f64 eps (*.f64 eps (/.f64 #s(literal 1 binary64) x)))
99.6%
(*.f64 x (*.f64 eps (*.f64 eps (/.f64 #s(literal 1 binary64) x))))
99.6%
(*.f64 eps (/.f64 #s(literal 1 binary64) x))
Results
41.0ms256×0valid
Compiler

Compiled 30 to 18 computations (40% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-div: 13.0ms (52.9% of total)
ival-mult: 11.0ms (44.7% of total)
const: 1.0ms (4.1% of total)
backward-pass: 0.0ms (0% of total)

series8.0ms (0.1%)

Counts
3 → 72
Calls
Call 1
Inputs
#<alt (*.f64 eps (/.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 x (*.f64 eps (*.f64 eps (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 eps (*.f64 eps (/.f64 #s(literal 1 binary64) x)))>
Outputs
#<alt (/.f64 eps x)>
#<alt (/.f64 eps x)>
#<alt (/.f64 eps x)>
#<alt (/.f64 eps x)>
#<alt (/.f64 eps x)>
#<alt (/.f64 eps x)>
#<alt (/.f64 eps x)>
#<alt (/.f64 eps x)>
#<alt (/.f64 eps x)>
#<alt (/.f64 eps x)>
#<alt (/.f64 eps x)>
#<alt (/.f64 eps x)>
#<alt (/.f64 eps x)>
#<alt (/.f64 eps x)>
#<alt (/.f64 eps x)>
#<alt (/.f64 eps x)>
#<alt (/.f64 eps x)>
#<alt (/.f64 eps x)>
#<alt (/.f64 eps x)>
#<alt (/.f64 eps x)>
#<alt (/.f64 eps x)>
#<alt (/.f64 eps x)>
#<alt (/.f64 eps x)>
#<alt (/.f64 eps x)>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)>
#<alt (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)>
#<alt (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)>
#<alt (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)>
#<alt (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)>
#<alt (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)>
#<alt (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)>
#<alt (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)>
#<alt (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)>
#<alt (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)>
#<alt (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)>
#<alt (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)>
#<alt (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)>
#<alt (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)>
#<alt (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)>
#<alt (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)>
#<alt (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)>
#<alt (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)>
#<alt (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)>
#<alt (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)>
#<alt (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)>
#<alt (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)>
#<alt (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)>
#<alt (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)>
Calls

18 calls:

TimeVariablePointExpression
3.0ms
x
@0
(* eps (* eps (/ 1 x)))
0.0ms
eps
@-inf
(* eps (/ 1 x))
0.0ms
eps
@inf
(* eps (* eps (/ 1 x)))
0.0ms
x
@-inf
(* eps (* eps (/ 1 x)))
0.0ms
x
@inf
(* eps (* eps (/ 1 x)))

rewrite90.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
600×log1p-expm1-u
600×expm1-log1p-u
495×pow1
394×log-prod
359×prod-exp
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01266
114260
2174242
Stop Event
node limit
Counts
3 → 110
Calls
Call 1
Inputs
(*.f64 eps (/.f64 #s(literal 1 binary64) x))
(*.f64 x (*.f64 eps (*.f64 eps (/.f64 #s(literal 1 binary64) x))))
(*.f64 eps (*.f64 eps (/.f64 #s(literal 1 binary64) x)))
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 eps x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 eps x))) #s(literal 2 binary64))) (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 x)
(/.f64 #s(literal 1 binary64) (/.f64 x eps))
(/.f64 (neg.f64 eps) (neg.f64 x))
(/.f64 (/.f64 eps (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 eps #s(literal 1 binary64)) x)
(/.f64 (/.f64 eps (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(/.f64 (*.f64 eps #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (*.f64 #s(literal -1 binary64) eps) (neg.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 2 binary64)) #s(literal 1/2 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 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (/.f64 x eps) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)))
(log.f64 (exp.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))))
(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 (*.f64 (log.f64 (/.f64 eps x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 eps) (*.f64 (log.f64 x) #s(literal -1 binary64))))
(exp.f64 (+.f64 (log.f64 eps) (*.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 eps) #s(literal 1 binary64)) (neg.f64 (log.f64 x))))
(exp.f64 (+.f64 (*.f64 (log.f64 eps) #s(literal 1 binary64)) (*.f64 (log.f64 x) #s(literal -1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 eps) #s(literal 1 binary64)) (*.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64))))
(exp.f64 (+.f64 (neg.f64 (log.f64 x)) (*.f64 (log.f64 eps) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)) (log.f64 eps)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)) (*.f64 (log.f64 eps) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64)) (log.f64 eps)))
(exp.f64 (+.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64)) (*.f64 (log.f64 eps) #s(literal 1 binary64))))
(+.f64 #s(literal 0 binary64) (pow.f64 eps #s(literal 2 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 eps #s(literal 2 binary64)))) #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))
(/.f64 (*.f64 (*.f64 eps x) eps) x)
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 eps) #s(literal 6 binary64))
(pow.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 2/3 binary64))
(pow.f64 (sqrt.f64 eps) #s(literal 4 binary64))
(sqrt.f64 (pow.f64 eps #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 eps #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 eps #s(literal 6 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 (*.f64 #s(literal 2 binary64) (log.f64 eps)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 eps))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 eps #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 eps) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 eps)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 eps) (*.f64 (log.f64 eps) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 eps) #s(literal 1 binary64)) (log.f64 eps)))
(exp.f64 (+.f64 (*.f64 (log.f64 eps) #s(literal 1 binary64)) (*.f64 (log.f64 eps) #s(literal 1 binary64))))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (log.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (*.f64 (log.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 eps x)) #s(literal 1 binary64)) (log.f64 (*.f64 eps x))))
(exp.f64 (+.f64 (log.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 1 binary64)) (log.f64 x)))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 1 binary64)) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(exp.f64 (+.f64 (log.f64 (*.f64 eps x)) (*.f64 (log.f64 (/.f64 eps x)) #s(literal 1 binary64))))
(+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) #s(literal 1 binary64))
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1 binary64)) (neg.f64 x))
(pow.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 eps (pow.f64 x #s(literal -1/2 binary64))) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 eps (pow.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) eps) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal -2 binary64))))
(log.f64 (exp.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(cbrt.f64 (pow.f64 (*.f64 eps (pow.f64 x #s(literal -1/2 binary64))) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(exp.f64 (log.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (pow.f64 x #s(literal -1/2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 eps) (*.f64 (log.f64 (/.f64 eps x)) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 eps) #s(literal 1 binary64)) (log.f64 (/.f64 eps x))))
(exp.f64 (+.f64 (*.f64 (log.f64 eps) #s(literal 1 binary64)) (*.f64 (log.f64 (/.f64 eps x)) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 eps))))
(exp.f64 (+.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 eps))))
(exp.f64 (+.f64 (log.f64 (/.f64 eps x)) (*.f64 (log.f64 eps) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 eps x)) #s(literal 1 binary64)) (log.f64 eps)))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 eps x)) #s(literal 1 binary64)) (*.f64 (log.f64 eps) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 #s(literal 2 binary64) (log.f64 eps)) (*.f64 (log.f64 x) #s(literal -1 binary64))))
(exp.f64 (+.f64 (*.f64 #s(literal 2 binary64) (log.f64 eps)) (*.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64))))

simplify84.0ms (1.4%)

Algorithm
egg-herbie
Rules
508×distribute-lft-in
421×distribute-rgt-in
314×prod-exp
296×fma-define
238×exp-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02604294970078
14864294970078
29144294970078
330834294970078
Stop Event
node limit
Counts
182 → 113
Calls
Call 1
Inputs
(/.f64 eps x)
(/.f64 eps x)
(/.f64 eps x)
(/.f64 eps x)
(/.f64 eps x)
(/.f64 eps x)
(/.f64 eps x)
(/.f64 eps x)
(/.f64 eps x)
(/.f64 eps x)
(/.f64 eps x)
(/.f64 eps x)
(/.f64 eps x)
(/.f64 eps x)
(/.f64 eps x)
(/.f64 eps x)
(/.f64 eps x)
(/.f64 eps x)
(/.f64 eps x)
(/.f64 eps x)
(/.f64 eps x)
(/.f64 eps x)
(/.f64 eps x)
(/.f64 eps x)
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(+.f64 #s(literal 0 binary64) (/.f64 eps x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 eps x))) #s(literal 2 binary64))) (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 x)
(/.f64 #s(literal 1 binary64) (/.f64 x eps))
(/.f64 (neg.f64 eps) (neg.f64 x))
(/.f64 (/.f64 eps (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 eps #s(literal 1 binary64)) x)
(/.f64 (/.f64 eps (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(/.f64 (*.f64 eps #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (*.f64 #s(literal -1 binary64) eps) (neg.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 2 binary64)) #s(literal 1/2 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 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (/.f64 x eps) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)))
(log.f64 (exp.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))))
(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 (*.f64 (log.f64 (/.f64 eps x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 eps) (*.f64 (log.f64 x) #s(literal -1 binary64))))
(exp.f64 (+.f64 (log.f64 eps) (*.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 eps) #s(literal 1 binary64)) (neg.f64 (log.f64 x))))
(exp.f64 (+.f64 (*.f64 (log.f64 eps) #s(literal 1 binary64)) (*.f64 (log.f64 x) #s(literal -1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 eps) #s(literal 1 binary64)) (*.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64))))
(exp.f64 (+.f64 (neg.f64 (log.f64 x)) (*.f64 (log.f64 eps) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)) (log.f64 eps)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)) (*.f64 (log.f64 eps) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64)) (log.f64 eps)))
(exp.f64 (+.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64)) (*.f64 (log.f64 eps) #s(literal 1 binary64))))
(+.f64 #s(literal 0 binary64) (pow.f64 eps #s(literal 2 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 eps #s(literal 2 binary64)))) #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))
(/.f64 (*.f64 (*.f64 eps x) eps) x)
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 eps) #s(literal 6 binary64))
(pow.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 2/3 binary64))
(pow.f64 (sqrt.f64 eps) #s(literal 4 binary64))
(sqrt.f64 (pow.f64 eps #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 eps #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 eps #s(literal 6 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 (*.f64 #s(literal 2 binary64) (log.f64 eps)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 eps))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 eps #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 eps) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 eps)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 eps) (*.f64 (log.f64 eps) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 eps) #s(literal 1 binary64)) (log.f64 eps)))
(exp.f64 (+.f64 (*.f64 (log.f64 eps) #s(literal 1 binary64)) (*.f64 (log.f64 eps) #s(literal 1 binary64))))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (log.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (*.f64 (log.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 eps x)) #s(literal 1 binary64)) (log.f64 (*.f64 eps x))))
(exp.f64 (+.f64 (log.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 1 binary64)) (log.f64 x)))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 1 binary64)) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(exp.f64 (+.f64 (log.f64 (*.f64 eps x)) (*.f64 (log.f64 (/.f64 eps x)) #s(literal 1 binary64))))
(+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) #s(literal 1 binary64))
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1 binary64)) (neg.f64 x))
(pow.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 eps (pow.f64 x #s(literal -1/2 binary64))) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 eps (pow.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) eps) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal -2 binary64))))
(log.f64 (exp.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(cbrt.f64 (pow.f64 (*.f64 eps (pow.f64 x #s(literal -1/2 binary64))) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(exp.f64 (log.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (pow.f64 x #s(literal -1/2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 eps) (*.f64 (log.f64 (/.f64 eps x)) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 eps) #s(literal 1 binary64)) (log.f64 (/.f64 eps x))))
(exp.f64 (+.f64 (*.f64 (log.f64 eps) #s(literal 1 binary64)) (*.f64 (log.f64 (/.f64 eps x)) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 eps))))
(exp.f64 (+.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 eps))))
(exp.f64 (+.f64 (log.f64 (/.f64 eps x)) (*.f64 (log.f64 eps) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 eps x)) #s(literal 1 binary64)) (log.f64 eps)))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 eps x)) #s(literal 1 binary64)) (*.f64 (log.f64 eps) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 #s(literal 2 binary64) (log.f64 eps)) (*.f64 (log.f64 x) #s(literal -1 binary64))))
(exp.f64 (+.f64 (*.f64 #s(literal 2 binary64) (log.f64 eps)) (*.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64))))
Outputs
(/.f64 eps x)
(/.f64 eps x)
(/.f64 eps x)
(/.f64 eps x)
(/.f64 eps x)
(/.f64 eps x)
(/.f64 eps x)
(/.f64 eps x)
(/.f64 eps x)
(/.f64 eps x)
(/.f64 eps x)
(/.f64 eps x)
(/.f64 eps x)
(/.f64 eps x)
(/.f64 eps x)
(/.f64 eps x)
(/.f64 eps x)
(/.f64 eps x)
(/.f64 eps x)
(/.f64 eps x)
(/.f64 eps x)
(/.f64 eps x)
(/.f64 eps x)
(/.f64 eps x)
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(+.f64 #s(literal 0 binary64) (/.f64 eps x))
(/.f64 eps x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 eps x))) #s(literal 2 binary64))) (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))
(/.f64 eps x)
(/.f64 eps x)
(/.f64 #s(literal 1 binary64) (/.f64 x eps))
(/.f64 eps x)
(/.f64 (neg.f64 eps) (neg.f64 x))
(/.f64 eps x)
(/.f64 (/.f64 eps (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 eps x)
(/.f64 (/.f64 eps #s(literal 1 binary64)) x)
(/.f64 eps x)
(/.f64 (/.f64 eps (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(/.f64 eps x)
(/.f64 (*.f64 eps #s(literal -1 binary64)) (neg.f64 x))
(/.f64 eps x)
(/.f64 (*.f64 #s(literal -1 binary64) eps) (neg.f64 x))
(/.f64 eps x)
(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 2 binary64)) #s(literal 1/2 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 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/3 binary64))
(/.f64 eps x)
(pow.f64 (/.f64 x eps) #s(literal -1 binary64))
(/.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)
(cbrt.f64 (pow.f64 (/.f64 eps x) #s(literal 3 binary64)))
(/.f64 eps x)
(cbrt.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 eps x)
(expm1.f64 (log1p.f64 (/.f64 eps x)))
(/.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 (*.f64 (log.f64 (/.f64 eps x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 eps x)
(exp.f64 (+.f64 (log.f64 eps) (*.f64 (log.f64 x) #s(literal -1 binary64))))
(/.f64 eps x)
(exp.f64 (+.f64 (log.f64 eps) (*.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64))))
(/.f64 eps x)
(exp.f64 (+.f64 (*.f64 (log.f64 eps) #s(literal 1 binary64)) (neg.f64 (log.f64 x))))
(/.f64 eps x)
(exp.f64 (+.f64 (*.f64 (log.f64 eps) #s(literal 1 binary64)) (*.f64 (log.f64 x) #s(literal -1 binary64))))
(/.f64 eps x)
(exp.f64 (+.f64 (*.f64 (log.f64 eps) #s(literal 1 binary64)) (*.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64))))
(/.f64 eps x)
(exp.f64 (+.f64 (neg.f64 (log.f64 x)) (*.f64 (log.f64 eps) #s(literal 1 binary64))))
(/.f64 eps x)
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)) (log.f64 eps)))
(/.f64 eps x)
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)) (*.f64 (log.f64 eps) #s(literal 1 binary64))))
(/.f64 eps x)
(exp.f64 (+.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64)) (log.f64 eps)))
(/.f64 eps x)
(exp.f64 (+.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64)) (*.f64 (log.f64 eps) #s(literal 1 binary64))))
(/.f64 eps x)
(+.f64 #s(literal 0 binary64) (pow.f64 eps #s(literal 2 binary64)))
(pow.f64 eps #s(literal 2 binary64))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 eps #s(literal 2 binary64)))) #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 #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))
(/.f64 (*.f64 (*.f64 eps x) eps) x)
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 (cbrt.f64 eps) #s(literal 6 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (pow.f64 eps #s(literal 4 binary64)))
(pow.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 eps #s(literal 6 binary64)))
(pow.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 2/3 binary64))
(pow.f64 (sqrt.f64 eps) #s(literal 4 binary64))
(sqrt.f64 (pow.f64 eps #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 eps #s(literal 2 binary64))))
(pow.f64 eps #s(literal 2 binary64))
(cbrt.f64 (pow.f64 eps #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64))))
(pow.f64 eps #s(literal 2 binary64))
(log1p.f64 (expm1.f64 (pow.f64 eps #s(literal 2 binary64))))
(pow.f64 eps #s(literal 2 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 eps)))
(pow.f64 eps #s(literal 2 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 eps)) #s(literal 1 binary64)))
(pow.f64 eps #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64)))
(pow.f64 eps #s(literal 2 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 eps))) #s(literal 3 binary64)))
(pow.f64 eps #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 eps #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(cbrt.f64 (pow.f64 eps #s(literal 6 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 eps) #s(literal 1 binary64)) #s(literal 2 binary64)))
(pow.f64 eps #s(literal 2 binary64))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 eps)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(pow.f64 eps #s(literal 2 binary64))
(exp.f64 (+.f64 (log.f64 eps) (*.f64 (log.f64 eps) #s(literal 1 binary64))))
(pow.f64 eps #s(literal 2 binary64))
(exp.f64 (+.f64 (*.f64 (log.f64 eps) #s(literal 1 binary64)) (log.f64 eps)))
(pow.f64 eps #s(literal 2 binary64))
(exp.f64 (+.f64 (*.f64 (log.f64 eps) #s(literal 1 binary64)) (*.f64 (log.f64 eps) #s(literal 1 binary64))))
(pow.f64 eps #s(literal 2 binary64))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 1 binary64))))
(pow.f64 eps #s(literal 2 binary64))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (log.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
(pow.f64 eps #s(literal 2 binary64))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (*.f64 (log.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 1 binary64))))
(pow.f64 eps #s(literal 2 binary64))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 eps x)) #s(literal 1 binary64)) (log.f64 (*.f64 eps x))))
(pow.f64 eps #s(literal 2 binary64))
(exp.f64 (+.f64 (log.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(pow.f64 eps #s(literal 2 binary64))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 1 binary64)) (log.f64 x)))
(pow.f64 eps #s(literal 2 binary64))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 1 binary64)) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(pow.f64 eps #s(literal 2 binary64))
(exp.f64 (+.f64 (log.f64 (*.f64 eps x)) (*.f64 (log.f64 (/.f64 eps x)) #s(literal 1 binary64))))
(pow.f64 eps #s(literal 2 binary64))
(+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) #s(literal 1 binary64))
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(pow.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) #s(literal 1 binary64))
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 3 binary64))
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(pow.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal -2 binary64))))
(pow.f64 (pow.f64 (*.f64 eps (pow.f64 x #s(literal -1/2 binary64))) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (*.f64 eps (pow.f64 x #s(literal -1/2 binary64))) #s(literal 6 binary64)))
(pow.f64 (*.f64 eps (pow.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64))
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(pow.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) eps) #s(literal 2 binary64))
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(sqrt.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal -2 binary64))))
(log.f64 (exp.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(cbrt.f64 (pow.f64 (*.f64 eps (pow.f64 x #s(literal -1/2 binary64))) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(exp.f64 (log.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 1 binary64)))
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) #s(literal 3 binary64)))
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) #s(literal 1/3 binary64)))
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(exp.f64 (*.f64 (log.f64 (*.f64 eps (pow.f64 x #s(literal -1/2 binary64)))) #s(literal 2 binary64)))
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(exp.f64 (+.f64 (log.f64 eps) (*.f64 (log.f64 (/.f64 eps x)) #s(literal 1 binary64))))
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(exp.f64 (+.f64 (*.f64 (log.f64 eps) #s(literal 1 binary64)) (log.f64 (/.f64 eps x))))
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(exp.f64 (+.f64 (*.f64 (log.f64 eps) #s(literal 1 binary64)) (*.f64 (log.f64 (/.f64 eps x)) #s(literal 1 binary64))))
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 eps))))
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(exp.f64 (+.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 eps))))
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(exp.f64 (+.f64 (log.f64 (/.f64 eps x)) (*.f64 (log.f64 eps) #s(literal 1 binary64))))
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 eps x)) #s(literal 1 binary64)) (log.f64 eps)))
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 eps x)) #s(literal 1 binary64)) (*.f64 (log.f64 eps) #s(literal 1 binary64))))
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(exp.f64 (+.f64 (*.f64 #s(literal 2 binary64) (log.f64 eps)) (*.f64 (log.f64 x) #s(literal -1 binary64))))
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(exp.f64 (+.f64 (*.f64 #s(literal 2 binary64) (log.f64 eps)) (*.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64))))
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)

eval22.0ms (0.4%)

Compiler

Compiled 1163 to 692 computations (40.5% saved)

prune19.0ms (0.3%)

Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New1130113
Fresh000
Picked011
Done055
Total1136119
Accuracy
100.0%
Counts
119 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
91.2%
(+.f64 (*.f64 (/.f64 eps x) (*.f64 eps x)) (*.f64 eps (*.f64 #s(literal 2 binary64) x)))
63.3%
(*.f64 (*.f64 #s(literal 2 binary64) eps) x)
99.8%
(*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
67.7%
(*.f64 x (*.f64 eps (*.f64 eps (/.f64 #s(literal 1 binary64) x))))
100.0%
(*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))
63.3%
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
Compiler

Compiled 140 to 84 computations (40% saved)

regimes9.0ms (0.2%)

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

3 calls:

4.0ms
eps
3.0ms
x
2.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1eps
100.0%1(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes5.0ms (0.1%)

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

2 calls:

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

Compiled 6 to 4 computations (33.3% saved)

regimes11.0ms (0.2%)

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

2 calls:

10.0ms
x
1.0ms
eps
Results
AccuracySegmentsBranch
63.3%1x
63.3%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes1.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

0.0ms
eps
0.0ms
x
Results
AccuracySegmentsBranch
63.3%1x
63.3%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify2.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01899
12699
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 eps eps (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 2 binary64) eps) x)
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
Outputs
(fma.f64 eps eps (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 2 binary64) eps) x)
(*.f64 x (*.f64 eps #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))

soundness511.0ms (8.5%)

Rules
1175×log1p-expm1-u
1175×expm1-log1p-u
771×distribute-lft-in
723×distribute-rgt-in
648×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03979621
19689265
230248590
028278
157246
2174238
3663196
42246188
55182188
66776188
77401188
87630188
97744188
107777188
01581
122377
2330177
Stop Event
done
node limit
node limit
node limit
Compiler

Compiled 256 to 90 computations (64.8% saved)

preprocess48.0ms (0.8%)

Compiler

Compiled 76 to 48 computations (36.8% saved)

end0.0ms (0%)

Profiling

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