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

Time bar (total: 5.2s)

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
Operation ival-sub, time spent: 0.0ms, 0.0% of total-time
Operation ival-add, time spent: 0.0ms, 0.0% of total-time
Operation ival-and, time spent: 0.0ms, 0.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time
Operation ival-<=, time spent: 0.0ms, 0.0% of total-time
Operation ival-pow, time spent: 0.0ms, 0.0% of total-time

sample2.2s (41.5%)

Results
1.2s6164×256valid
302.0ms1096×512valid
397.0ms981×1024valid
6.0ms14×2048valid
0.0ms256valid
Precisions
Click to see histograms. Total time spent on operations: 893.0ms
Operation ival-<=, time spent: 334.0ms, 37.0% of total-time
Operation ival-pow, time spent: 291.0ms, 33.0% of total-time
Operation ival-add, time spent: 105.0ms, 12.0% of total-time
Operation ival-sub, time spent: 76.0ms, 9.0% of total-time
Operation const, time spent: 44.0ms, 5.0% of total-time
Operation ival-and, time spent: 43.0ms, 5.0% of total-time
Bogosity

preprocess332.0ms (6.3%)

Algorithm
egg-herbie
Rules
578×sub-neg
485×unsub-neg
479×fma-neg
478×distribute-lft-in
347×distribute-rgt-in
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
791(2.137117105560173e-140 3.1510660365571653e-184)0-(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
00-0-x
088(4.725055780497524e-114 5.7943325022317395e-33)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
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))))
Compiler

Compiled 63 to 36 computations (42.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
Operation ival-pow, time spent: 32.0ms, 68.0% of total-time
Operation ival-add, time spent: 7.0ms, 15.0% of total-time
Operation ival-sub, time spent: 4.0ms, 9.0% of total-time
Operation const, time spent: 3.0ms, 6.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
72.6%
(-.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)

localize101.0ms (1.9%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
100.0%
(pow.f64 (+.f64 x eps) #s(literal 2 binary64))
72.6%
(-.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 44 to 24 computations (45.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
Operation ival-mult, time spent: 14.0ms, 35.0% of total-time
Operation ival-pow, time spent: 14.0ms, 35.0% of total-time
Operation ival-add, time spent: 8.0ms, 20.0% of total-time
Operation const, time spent: 2.0ms, 5.0% of total-time
Operation ival-sub, time spent: 2.0ms, 5.0% of total-time

series13.0ms (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
3.0ms
eps
@inf
(- (pow (+ x eps) 2) (pow x 2))
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
x
@inf
(- (pow (+ x eps) 2) (pow x 2))

rewrite252.0ms (4.8%)

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))
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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))

simplify129.0ms (2.5%)

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 (+.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))

eval96.0ms (1.8%)

Compiler

Compiled 4185 to 2493 computations (40.4% saved)

prune38.0ms (0.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New2305235
Fresh000
Picked112
Done000
Total2316237
Accuracy
100.0%
Counts
237 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 eps eps (*.f64 eps (*.f64 x #s(literal 2 binary64))))
72.6%
(*.f64 (+.f64 (+.f64 eps x) x) (-.f64 (+.f64 eps x) x))
63.6%
(*.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))))
63.6%
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
Compiler

Compiled 105 to 64 computations (39% saved)

localize186.0ms (3.5%)

Localize:

Found 7 expressions with local error:

NewAccuracyProgram
100.0%
(*.f64 (+.f64 (+.f64 eps x) x) (-.f64 (+.f64 eps x) x))
100.0%
(+.f64 (+.f64 eps x) x)
53.9%
(-.f64 (+.f64 eps x) x)
99.8%
(*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
99.7%
(*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
100.0%
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
100.0%
(fma.f64 eps eps (*.f64 eps (*.f64 x #s(literal 2 binary64))))
Compiler

Compiled 97 to 38 computations (60.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 73.0ms
Operation ival-mult, time spent: 43.0ms, 59.0% of total-time
Operation ival-add, time spent: 15.0ms, 21.0% of total-time
Operation composed, time spent: 6.0ms, 8.0% of total-time
Operation ival-div, time spent: 4.0ms, 6.0% of total-time
Operation const, time spent: 3.0ms, 4.0% of total-time
Operation ival-sub, time spent: 2.0ms, 3.0% of total-time

series21.0ms (0.4%)

Counts
7 → 141
Calls
Call 1
Inputs
#<alt (fma.f64 eps eps (*.f64 eps (*.f64 x #s(literal 2 binary64))))>
#<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 (+.f64 eps x) x)>
#<alt (+.f64 (+.f64 eps x) x)>
#<alt (*.f64 (+.f64 (+.f64 eps x) x) (-.f64 (+.f64 eps x) x))>
Outputs
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<alt (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))>
#<alt (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))>
#<alt (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
#<alt (*.f64 #s(literal 2 binary64) 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 eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (+.f64 eps (*.f64 #s(literal 2 binary64) x))>
#<alt (+.f64 eps (*.f64 #s(literal 2 binary64) x))>
#<alt (+.f64 eps (*.f64 #s(literal 2 binary64) x))>
#<alt eps>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt eps>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x eps)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x eps)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x eps)) #s(literal 1 binary64))))>
#<alt eps>
#<alt (+.f64 eps (*.f64 #s(literal 2 binary64) x))>
#<alt (+.f64 eps (*.f64 #s(literal 2 binary64) x))>
#<alt (+.f64 eps (*.f64 #s(literal 2 binary64) x))>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x)))>
#<alt (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x)))>
#<alt (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x)))>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 2 binary64))))>
#<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

42 calls:

TimeVariablePointExpression
5.0ms
x
@0
(+ (+ eps x) x)
1.0ms
x
@0
(* 2 (* eps x))
1.0ms
x
@0
(+ (* eps eps) (* eps (* x 2)))
1.0ms
eps
@-inf
(* eps (+ 2 (/ eps x)))
1.0ms
eps
@0
(+ (* eps eps) (* eps (* x 2)))

rewrite190.0ms (3.6%)

Algorithm
batch-egg-rewrite
Rules
1167×log1p-expm1-u
509×expm1-log1p-u
180×associate-*r*
162×add-cube-cbrt
159×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022210
1364175
25320175
Stop Event
node limit
Counts
7 → 231
Calls
Call 1
Inputs
(fma.f64 eps eps (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(*.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 (+.f64 eps x) x)
(+.f64 (+.f64 eps x) x)
(*.f64 (+.f64 (+.f64 eps x) x) (-.f64 (+.f64 eps x) x))
Outputs
(+.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (pow.f64 eps #s(literal 2 binary64)))
(+.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(+.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64)))))) #s(literal 1 binary64))
(*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))
(*.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))) (pow.f64 (cbrt.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))) (sqrt.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 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))) (+.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (-.f64 (*.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 eps (*.f64 x #s(literal 2 binary64)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (*.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 eps (*.f64 x #s(literal 2 binary64)))))
(pow.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 eps #s(literal 2 binary64)) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(+.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (*.f64 eps #s(literal 2 binary64)))
(+.f64 (*.f64 (*.f64 eps #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 eps #s(literal 2 binary64)) (*.f64 eps #s(literal 2 binary64))) (-.f64 (*.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (*.f64 (*.f64 eps #s(literal 2 binary64)) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(/.f64 (-.f64 (*.f64 (*.f64 eps #s(literal 2 binary64)) (*.f64 eps #s(literal 2 binary64))) (*.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) (-.f64 (*.f64 eps #s(literal 2 binary64)) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(/.f64 (*.f64 eps (+.f64 (pow.f64 (/.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64))) (+.f64 #s(literal 4 binary64) (*.f64 (/.f64 eps x) (-.f64 (/.f64 eps x) #s(literal 2 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) (+.f64 #s(literal 4 binary64) (*.f64 (/.f64 eps x) (-.f64 (/.f64 eps x) #s(literal 2 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))))))
(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 eps #s(literal 2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(fma.f64 #s(literal 2 binary64) eps (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(+.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(+.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 eps x) (/.f64 eps x)))
(+.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) x))
(+.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 (/.f64 eps x) (*.f64 eps x)))
(+.f64 (*.f64 (*.f64 eps x) (/.f64 eps x)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(+.f64 (*.f64 (/.f64 eps x) (*.f64 eps x)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 eps x) (+.f64 #s(literal 2 binary64) (/.f64 eps x))))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 eps x) (+.f64 (pow.f64 (/.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64))) (+.f64 #s(literal 4 binary64) (*.f64 (/.f64 eps x) (-.f64 (/.f64 eps x) #s(literal 2 binary64)))))
(/.f64 (*.f64 (*.f64 eps x) (-.f64 #s(literal 4 binary64) (pow.f64 (/.f64 eps x) #s(literal 2 binary64)))) (-.f64 #s(literal 2 binary64) (/.f64 eps x)))
(pow.f64 (*.f64 (*.f64 eps x) (+.f64 #s(literal 2 binary64) (/.f64 eps x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 eps x) (+.f64 #s(literal 2 binary64) (/.f64 eps x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 eps x) (+.f64 #s(literal 2 binary64) (/.f64 eps x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (*.f64 eps x) (+.f64 #s(literal 2 binary64) (/.f64 eps x)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 eps x) (+.f64 #s(literal 2 binary64) (/.f64 eps x))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 eps x) (+.f64 #s(literal 2 binary64) (/.f64 eps x))))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 eps x) (+.f64 #s(literal 2 binary64) (/.f64 eps x))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) (/.f64 eps x)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 eps x) (+.f64 #s(literal 2 binary64) (/.f64 eps x)))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 eps x) (+.f64 #s(literal 2 binary64) (/.f64 eps x)))))
(exp.f64 (log.f64 (*.f64 (*.f64 eps x) (+.f64 #s(literal 2 binary64) (/.f64 eps x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 eps x) (+.f64 #s(literal 2 binary64) (/.f64 eps x)))) #s(literal 1 binary64)))
(+.f64 eps #s(literal 0 binary64))
(+.f64 x (-.f64 eps x))
(+.f64 (+.f64 eps x) (neg.f64 x))
(+.f64 (+.f64 eps x) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(+.f64 (+.f64 eps #s(literal 0 binary64)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(+.f64 (+.f64 eps #s(literal 0 binary64)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(+.f64 (+.f64 eps #s(literal 0 binary64)) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 (neg.f64 x) (+.f64 eps x))
(+.f64 #s(literal 0 binary64) eps)
(*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 eps #s(literal 0 binary64)))
(*.f64 (cbrt.f64 (+.f64 eps #s(literal 0 binary64))) (pow.f64 (cbrt.f64 (+.f64 eps #s(literal 0 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 eps #s(literal 0 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 eps #s(literal 0 binary64))))
(*.f64 (sqrt.f64 (+.f64 eps #s(literal 0 binary64))) (sqrt.f64 (+.f64 eps #s(literal 0 binary64))))
(*.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (*.f64 x (+.f64 eps (*.f64 x #s(literal 2 binary64)))))))
(*.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 eps (*.f64 x #s(literal 2 binary64)))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 eps x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 eps x)) (sqrt.f64 x)))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.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 #s(literal 0 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (*.f64 x (-.f64 x (+.f64 eps x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (*.f64 x (+.f64 eps (*.f64 x #s(literal 2 binary64))))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (*.f64 x (+.f64 eps (*.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (+.f64 eps (*.f64 x #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (*.f64 x (+.f64 eps (*.f64 x #s(literal 2 binary64)))))))
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 eps #s(literal 0 binary64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (+.f64 eps x) (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 0 binary64)) (-.f64 eps #s(literal 0 binary64)))
(/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (+.f64 eps x) (neg.f64 x)))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (+.f64 eps (*.f64 x #s(literal 2 binary64))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))))) (sqrt.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64)))))
(pow.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 eps #s(literal 0 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 eps #s(literal 0 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64)))
(log.f64 (*.f64 (exp.f64 eps) #s(literal 1 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 eps #s(literal 0 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 eps #s(literal 0 binary64))))
(log1p.f64 (expm1.f64 (+.f64 eps #s(literal 0 binary64))))
(exp.f64 (log.f64 (+.f64 eps #s(literal 0 binary64))))
(exp.f64 (*.f64 (log.f64 (+.f64 eps #s(literal 0 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) eps #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (+.f64 eps x) (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 eps x)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 eps x)) (neg.f64 x))
(fma.f64 (cbrt.f64 (pow.f64 eps #s(literal 2 binary64))) (cbrt.f64 eps) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (+.f64 eps x)) (sqrt.f64 (+.f64 eps x)) (neg.f64 x))
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) #s(literal 0 binary64))
(-.f64 (exp.f64 (log1p.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (+.f64 eps #s(literal 0 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 eps #s(literal 0 binary64))))
(*.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 eps (*.f64 x #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64)))) (sqrt.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (*.f64 x (-.f64 x (+.f64 eps x))))))
(*.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 eps #s(literal 0 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (*.f64 x (+.f64 eps (*.f64 x #s(literal 2 binary64))))))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.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 x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (*.f64 x (-.f64 x (+.f64 eps x)))) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 eps #s(literal 0 binary64)) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (*.f64 x (-.f64 x (+.f64 eps x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (*.f64 x (+.f64 eps x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (+.f64 eps #s(literal 0 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (*.f64 x (-.f64 x (+.f64 eps x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (+.f64 eps #s(literal 0 binary64))))
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 eps (*.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) (-.f64 x (+.f64 eps x)))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (+.f64 eps #s(literal 0 binary64)))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (+.f64 eps #s(literal 0 binary64))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 eps #s(literal 0 binary64))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (+.f64 eps #s(literal 0 binary64)))) (sqrt.f64 (+.f64 eps #s(literal 0 binary64))))
(pow.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64)))))
(exp.f64 (log.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) eps (*.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) x (+.f64 eps x))
(fma.f64 #s(literal 1 binary64) (+.f64 eps x) x)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 eps x)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 eps x)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (+.f64 eps x))
(fma.f64 (cbrt.f64 (pow.f64 eps #s(literal 2 binary64))) (cbrt.f64 eps) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (+.f64 eps x)) (sqrt.f64 (+.f64 eps x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 eps x))
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (*.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 0 binary64) (+.f64 eps (*.f64 x #s(literal 2 binary64)))))
(+.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (neg.f64 (pow.f64 x #s(literal 2 binary64))))
(+.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x))
(+.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 2 binary64))))
(+.f64 (*.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) eps) (*.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 0 binary64)))
(+.f64 (*.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) (+.f64 eps x)) (*.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) (neg.f64 x)))
(+.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) eps) (*.f64 (+.f64 eps #s(literal 0 binary64)) (*.f64 x #s(literal 2 binary64))))
(+.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) x) (*.f64 (+.f64 eps #s(literal 0 binary64)) (+.f64 eps x)))
(+.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) (+.f64 eps x)) (*.f64 (+.f64 eps #s(literal 0 binary64)) x))
(+.f64 (*.f64 (+.f64 eps x) (+.f64 eps (*.f64 x #s(literal 2 binary64)))) (*.f64 (neg.f64 x) (+.f64 eps (*.f64 x #s(literal 2 binary64)))))
(+.f64 (*.f64 eps (+.f64 eps #s(literal 0 binary64))) (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 eps #s(literal 0 binary64))))
(+.f64 (*.f64 x (+.f64 eps #s(literal 0 binary64))) (*.f64 (+.f64 eps x) (+.f64 eps #s(literal 0 binary64))))
(+.f64 (*.f64 (+.f64 eps x) (+.f64 eps #s(literal 0 binary64))) (*.f64 x (+.f64 eps #s(literal 0 binary64))))
(-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))
(/.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (*.f64 x (-.f64 x (+.f64 eps x))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (*.f64 x (+.f64 eps (*.f64 x #s(literal 2 binary64))))) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (*.f64 x (-.f64 x (+.f64 eps x))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (*.f64 x (-.f64 x (+.f64 eps x)))) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (*.f64 x (+.f64 eps (*.f64 x #s(literal 2 binary64)))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (+.f64 eps #s(literal 0 binary64)) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (*.f64 x (+.f64 eps (*.f64 x #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (+.f64 eps #s(literal 0 binary64))) (+.f64 eps #s(literal 0 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (+.f64 eps (*.f64 x #s(literal 2 binary64)))) (+.f64 eps (*.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 eps (*.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 x #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 eps #s(literal 0 binary64)))
(/.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (*.f64 x (-.f64 x (+.f64 eps x)))))
(/.f64 (*.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (*.f64 x (+.f64 eps (*.f64 x #s(literal 2 binary64))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 eps (*.f64 x #s(literal 2 binary64)))) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (*.f64 x (+.f64 eps (*.f64 x #s(literal 2 binary64))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 eps #s(literal 0 binary64))) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (*.f64 x (-.f64 x (+.f64 eps x)))))
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (*.f64 (exp.f64 eps) #s(literal 1 binary64)) (+.f64 eps (*.f64 x #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (log.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 (+.f64 eps x) (+.f64 eps x) (neg.f64 (pow.f64 x #s(literal 2 binary64))))

simplify194.0ms (3.7%)

Algorithm
egg-herbie
Rules
515×associate-*l*
448×associate-*r*
345×fma-define
295×cube-prod
287×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
055512786
1148511276
2706311115
Stop Event
node limit
Counts
372 → 364
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))))
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(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (*.f64 x (-.f64 x (+.f64 eps x)))) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (*.f64 x (+.f64 eps (*.f64 x #s(literal 2 binary64)))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (+.f64 eps #s(literal 0 binary64)) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (*.f64 x (+.f64 eps (*.f64 x #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (+.f64 eps #s(literal 0 binary64))) (+.f64 eps #s(literal 0 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (+.f64 eps (*.f64 x #s(literal 2 binary64)))) (+.f64 eps (*.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 eps (*.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 x #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 eps #s(literal 0 binary64)))
(/.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (*.f64 x (-.f64 x (+.f64 eps x)))))
(/.f64 (*.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (*.f64 x (+.f64 eps (*.f64 x #s(literal 2 binary64))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 eps (*.f64 x #s(literal 2 binary64)))) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (*.f64 x (+.f64 eps (*.f64 x #s(literal 2 binary64))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 eps #s(literal 0 binary64))) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (*.f64 x (-.f64 x (+.f64 eps x)))))
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (*.f64 (exp.f64 eps) #s(literal 1 binary64)) (+.f64 eps (*.f64 x #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (log.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 (+.f64 eps x) (+.f64 eps x) (neg.f64 (pow.f64 x #s(literal 2 binary64))))
Outputs
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(pow.f64 eps #s(literal 2 binary64))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(pow.f64 eps #s(literal 2 binary64))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(pow.f64 eps #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(*.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 x (*.f64 #s(literal 2 binary64) 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 (neg.f64 x) (fma.f64 #s(literal -2 binary64) eps (neg.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
(*.f64 x (neg.f64 (-.f64 (*.f64 eps #s(literal -2 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 (neg.f64 x) (fma.f64 #s(literal -2 binary64) eps (neg.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
(*.f64 x (neg.f64 (-.f64 (*.f64 eps #s(literal -2 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 (neg.f64 x) (fma.f64 #s(literal -2 binary64) eps (neg.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
(*.f64 x (neg.f64 (-.f64 (*.f64 eps #s(literal -2 binary64)) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
(*.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 (+.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 (+.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 #s(literal 2 binary64) eps)
(+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
(+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
(+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
(*.f64 #s(literal 2 binary64) eps)
(+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
(+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
(+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
(pow.f64 eps #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(*.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 x (*.f64 #s(literal 2 binary64) 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 (neg.f64 x) (fma.f64 #s(literal -2 binary64) eps (neg.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
(*.f64 x (neg.f64 (-.f64 (*.f64 eps #s(literal -2 binary64)) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
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(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (*.f64 x (+.f64 eps (*.f64 x #s(literal 2 binary64))))) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (*.f64 x (-.f64 x (+.f64 eps x))))))
(*.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 eps x) #s(literal 3 binary64))) (*.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (*.f64 x (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (*.f64 x (-.f64 x (+.f64 eps x)))))))
(*.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 eps x) #s(literal 3 binary64))) (fma.f64 x (fma.f64 #s(literal 2 binary64) x eps) (pow.f64 (+.f64 eps x) #s(literal 2 binary64)))) (fma.f64 x (neg.f64 eps) (pow.f64 (+.f64 eps x) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (*.f64 eps (+.f64 eps (+.f64 x x))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (*.f64 x (-.f64 x (+.f64 eps x)))) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (*.f64 x (+.f64 eps (*.f64 x #s(literal 2 binary64)))))))
(*.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 eps x) #s(literal 3 binary64))) (*.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (*.f64 x (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (*.f64 x (-.f64 x (+.f64 eps x)))))))
(*.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 eps x) #s(literal 3 binary64))) (fma.f64 x (fma.f64 #s(literal 2 binary64) x eps) (pow.f64 (+.f64 eps x) #s(literal 2 binary64)))) (fma.f64 x (neg.f64 eps) (pow.f64 (+.f64 eps x) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (+.f64 eps #s(literal 0 binary64)) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (*.f64 x (+.f64 eps (*.f64 x #s(literal 2 binary64)))))))
(*.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 eps (+.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (*.f64 x (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))))
(*.f64 (*.f64 eps (+.f64 eps (+.f64 x x))) (/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 eps (fma.f64 x (fma.f64 #s(literal 2 binary64) x eps) (pow.f64 (+.f64 eps x) #s(literal 2 binary64))))))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (fma.f64 #s(literal 2 binary64) x eps) (pow.f64 (+.f64 eps x) #s(literal 2 binary64)))) (/.f64 (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) eps))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x x (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) (pow.f64 (+.f64 eps x) #s(literal 4 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x (pow.f64 (+.f64 eps x) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (+.f64 eps #s(literal 0 binary64))) (+.f64 eps #s(literal 0 binary64)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (+.f64 eps (*.f64 x #s(literal 2 binary64)))) (+.f64 eps (*.f64 x #s(literal 2 binary64))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(/.f64 (*.f64 (+.f64 eps (*.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 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 (*.f64 (+.f64 eps #s(literal 0 binary64)) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 eps #s(literal 0 binary64)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(/.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (*.f64 x (-.f64 x (+.f64 eps x)))))
(*.f64 eps (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 eps x) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (*.f64 x (-.f64 x (+.f64 eps x))))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 eps x) #s(literal 3 binary64))) (/.f64 eps (fma.f64 x (neg.f64 eps) (pow.f64 (+.f64 eps x) #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (*.f64 x (+.f64 eps (*.f64 x #s(literal 2 binary64))))))
(*.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) (/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (*.f64 x (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (fma.f64 #s(literal 2 binary64) x eps) (pow.f64 (+.f64 eps x) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 eps (*.f64 x #s(literal 2 binary64)))) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (*.f64 x (+.f64 eps (*.f64 x #s(literal 2 binary64))))))
(*.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) (/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (*.f64 x (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (fma.f64 #s(literal 2 binary64) x eps) (pow.f64 (+.f64 eps x) #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 eps #s(literal 0 binary64))) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (*.f64 x (-.f64 x (+.f64 eps x)))))
(*.f64 eps (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 eps x) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (*.f64 x (-.f64 x (+.f64 eps x))))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 eps x) #s(literal 3 binary64))) (/.f64 eps (fma.f64 x (neg.f64 eps) (pow.f64 (+.f64 eps x) #s(literal 2 binary64)))))
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #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 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #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 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 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 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)))
(fabs.f64 (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)))
(log.f64 (pow.f64 (*.f64 (exp.f64 eps) #s(literal 1 binary64)) (+.f64 eps (*.f64 x #s(literal 2 binary64)))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 eps #s(literal 0 binary64)) #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 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(exp.f64 (log.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (+.f64 eps x) (+.f64 eps x) (neg.f64 (pow.f64 x #s(literal 2 binary64))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))

eval219.0ms (4.2%)

Compiler

Compiled 6397 to 3300 computations (48.4% saved)

prune55.0ms (1%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New3622364
Fresh000
Picked235
Done011
Total3646370
Accuracy
100.0%
Counts
370 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
89.7%
(+.f64 (*.f64 (/.f64 eps x) (*.f64 eps x)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
100.0%
(*.f64 (+.f64 (+.f64 eps x) x) eps)
63.6%
(*.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))))
63.6%
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
Compiler

Compiled 58 to 37 computations (36.2% saved)

localize71.0ms (1.4%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 (*.f64 (/.f64 eps x) (*.f64 eps x)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
89.7%
(*.f64 (/.f64 eps x) (*.f64 eps x))
100.0%
(*.f64 (+.f64 (+.f64 eps x) x) eps)
100.0%
(+.f64 (+.f64 eps x) x)
Compiler

Compiled 57 to 19 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
Operation ival-mult, time spent: 13.0ms, 55.0% of total-time
Operation ival-add, time spent: 7.0ms, 30.0% of total-time
Operation ival-div, time spent: 2.0ms, 8.0% of total-time
Operation const, time spent: 1.0ms, 4.0% of total-time

series5.0ms (0.1%)

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

18 calls:

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

rewrite144.0ms (2.7%)

Algorithm
batch-egg-rewrite
Rules
974×log1p-expm1-u
974×expm1-log1p-u
403×fma-neg
142×associate-*r*
127×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017113
127093
2427093
Stop Event
node limit
Counts
3 → 89
Calls
Call 1
Inputs
(*.f64 (+.f64 (+.f64 eps x) x) eps)
(*.f64 (/.f64 eps x) (*.f64 eps x))
(+.f64 (*.f64 (/.f64 eps x) (*.f64 eps x)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
Outputs
(+.f64 (*.f64 eps x) (*.f64 (+.f64 eps x) eps))
(+.f64 (*.f64 eps x) (*.f64 eps (+.f64 eps x)))
(+.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(+.f64 (*.f64 (+.f64 eps x) eps) (*.f64 eps x))
(+.f64 (*.f64 eps (+.f64 eps x)) (*.f64 eps x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64)))))) #s(literal 1 binary64))
(/.f64 (*.f64 eps (+.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (*.f64 x (-.f64 x (+.f64 eps x)))))
(/.f64 (*.f64 eps (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 eps (-.f64 x x)))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) eps) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (*.f64 x (-.f64 x (+.f64 eps x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) eps) (+.f64 eps (-.f64 x x)))
(pow.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 eps) (+.f64 eps (*.f64 x #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))) #s(literal 1 binary64))
(/.f64 (*.f64 eps x) (/.f64 x eps))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) x)
(/.f64 (neg.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (neg.f64 x))
(/.f64 (*.f64 (*.f64 eps x) (neg.f64 eps)) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 eps) (*.f64 eps x)) (neg.f64 x))
(/.f64 (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) #s(literal 1 binary64)) x)
(/.f64 (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(/.f64 (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
(exp.f64 (log.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (*.f64 (*.f64 eps x) (-.f64 (/.f64 eps x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 eps x) (-.f64 (/.f64 eps x) #s(literal 2 binary64)))))
(*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64)))
(*.f64 (*.f64 eps x) (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
(*.f64 (*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64)))) (sqrt.f64 (*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64)))))
(*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64)) (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (*.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))))
(*.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (pow.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps x) (-.f64 (/.f64 eps x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (*.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))) (+.f64 (*.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64)) (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 eps x) (-.f64 (/.f64 eps x) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (pow.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))))
(/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64)) (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (*.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))))
(/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64)) (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (*.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (*.f64 eps (*.f64 x #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (pow.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 (*.f64 eps x) (-.f64 (/.f64 eps x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64)) (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (*.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (pow.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) (neg.f64 (*.f64 (*.f64 eps x) (-.f64 (/.f64 eps x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 2 binary64))) (-.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
(pow.f64 (*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 eps (*.f64 x #s(literal 2 binary64)) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(fma.f64 (/.f64 eps x) (*.f64 eps x) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (*.f64 eps x) (/.f64 eps x) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (*.f64 eps x) #s(literal 2 binary64) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(fma.f64 (*.f64 x #s(literal 2 binary64)) eps (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(fma.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64)))) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64)))) (sqrt.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64)))) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(fma.f64 (sqrt.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) (sqrt.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) x (*.f64 eps (*.f64 x #s(literal 2 binary64))))

simplify81.0ms (1.5%)

Algorithm
egg-herbie
Rules
738×fma-define
554×distribute-lft-in
545×distribute-rgt-in
409×associate-*r/
323×cancel-sign-sub-inv
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02325070
15614228
220504096
Stop Event
node limit
Counts
161 → 109
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))
(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 (+.f64 eps x) eps))
(+.f64 (*.f64 eps x) (*.f64 eps (+.f64 eps x)))
(+.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(+.f64 (*.f64 (+.f64 eps x) eps) (*.f64 eps x))
(+.f64 (*.f64 eps (+.f64 eps x)) (*.f64 eps x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64)))))) #s(literal 1 binary64))
(/.f64 (*.f64 eps (+.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (*.f64 x (-.f64 x (+.f64 eps x)))))
(/.f64 (*.f64 eps (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 eps (-.f64 x x)))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) eps) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (*.f64 x (-.f64 x (+.f64 eps x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) eps) (+.f64 eps (-.f64 x x)))
(pow.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 eps) (+.f64 eps (*.f64 x #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))) #s(literal 1 binary64))
(/.f64 (*.f64 eps x) (/.f64 x eps))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) x)
(/.f64 (neg.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (neg.f64 x))
(/.f64 (*.f64 (*.f64 eps x) (neg.f64 eps)) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 eps) (*.f64 eps x)) (neg.f64 x))
(/.f64 (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) #s(literal 1 binary64)) x)
(/.f64 (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(/.f64 (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
(exp.f64 (log.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (*.f64 (*.f64 eps x) (-.f64 (/.f64 eps x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 eps x) (-.f64 (/.f64 eps x) #s(literal 2 binary64)))))
(*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64)))
(*.f64 (*.f64 eps x) (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
(*.f64 (*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64)))) (sqrt.f64 (*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64)))))
(*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64)) (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (*.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))))
(*.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (pow.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps x) (-.f64 (/.f64 eps x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (*.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))) (+.f64 (*.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64)) (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 eps x) (-.f64 (/.f64 eps x) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (pow.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))))
(/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64)) (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (*.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))))
(/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64)) (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (*.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (*.f64 eps (*.f64 x #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (pow.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 (*.f64 eps x) (-.f64 (/.f64 eps x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64)) (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (*.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (pow.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) (neg.f64 (*.f64 (*.f64 eps x) (-.f64 (/.f64 eps x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 2 binary64))) (-.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
(pow.f64 (*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 eps (*.f64 x #s(literal 2 binary64)) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(fma.f64 (/.f64 eps x) (*.f64 eps x) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (*.f64 eps x) (/.f64 eps x) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (*.f64 eps x) #s(literal 2 binary64) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(fma.f64 (*.f64 x #s(literal 2 binary64)) eps (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(fma.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64)))) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64)))) (sqrt.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64)))) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(fma.f64 (sqrt.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) (sqrt.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) x (*.f64 eps (*.f64 x #s(literal 2 binary64))))
Outputs
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(pow.f64 eps #s(literal 2 binary64))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(pow.f64 eps #s(literal 2 binary64))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(pow.f64 eps #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(pow.f64 eps #s(literal 2 binary64))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(pow.f64 eps #s(literal 2 binary64))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(pow.f64 eps #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(+.f64 (*.f64 eps x) (*.f64 (+.f64 eps 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 x) (*.f64 eps (+.f64 eps x)))
(*.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 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 (*.f64 (+.f64 eps x) eps) (*.f64 eps x))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(+.f64 (*.f64 eps (+.f64 eps x)) (*.f64 eps x))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64)))))) #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 (*.f64 eps (+.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (*.f64 x (-.f64 x (+.f64 eps x)))))
(*.f64 eps (/.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (*.f64 x (-.f64 x (+.f64 eps x))))))
(*.f64 eps (/.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (neg.f64 eps) (pow.f64 (+.f64 eps x) #s(literal 2 binary64)))))
(*.f64 eps (/.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (*.f64 (+.f64 eps x) x) (pow.f64 eps #s(literal 2 binary64)))))
(/.f64 (*.f64 eps (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 eps (-.f64 x x)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) eps) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (*.f64 x (-.f64 x (+.f64 eps x)))))
(*.f64 eps (/.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (*.f64 x (-.f64 x (+.f64 eps x))))))
(*.f64 eps (/.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (neg.f64 eps) (pow.f64 (+.f64 eps x) #s(literal 2 binary64)))))
(*.f64 eps (/.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (*.f64 (+.f64 eps x) x) (pow.f64 eps #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) eps) (+.f64 eps (-.f64 x x)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(pow.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64)))) #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 x #s(literal 2 binary64))))) #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 x #s(literal 2 binary64)))) #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 x #s(literal 2 binary64))))) #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 x #s(literal 2 binary64)))) #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 (pow.f64 (exp.f64 eps) (+.f64 eps (*.f64 x #s(literal 2 binary64)))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64)))))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(cbrt.f64 (pow.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
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(/.f64 (fma.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 eps (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 eps (-.f64 (*.f64 #s(literal 2 binary64) x) eps))) (pow.f64 eps #s(literal 4 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (pow.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) (neg.f64 (*.f64 (*.f64 eps x) (-.f64 (/.f64 eps x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 x x)) #s(literal 2 binary64)) (pow.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (*.f64 eps (*.f64 x (+.f64 (/.f64 eps x) #s(literal -2 binary64)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps 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 2 binary64)) (pow.f64 eps #s(literal 4 binary64))) (*.f64 eps (-.f64 (*.f64 #s(literal 2 binary64) x) eps)))
(/.f64 (-.f64 (pow.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 2 binary64))) (-.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 x x)) #s(literal 2 binary64)) (pow.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (*.f64 eps (*.f64 x (+.f64 (/.f64 eps x) #s(literal -2 binary64)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps 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 2 binary64)) (pow.f64 eps #s(literal 4 binary64))) (*.f64 eps (-.f64 (*.f64 #s(literal 2 binary64) x) eps)))
(pow.f64 (*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64))) #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 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64)))) #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 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64))) #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 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64)))) #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 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64))) #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 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64)))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64))))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64))) #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 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64)))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64)))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(exp.f64 (log.f64 (*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64)))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 eps (*.f64 x #s(literal 2 binary64)) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (/.f64 eps x) (*.f64 eps x) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (*.f64 eps x) (/.f64 eps x) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (*.f64 eps x) #s(literal 2 binary64) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (*.f64 x #s(literal 2 binary64)) eps (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64)))) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 eps (+.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 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(*.f64 eps (+.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 x #s(literal 2 binary64)))) (sqrt.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64)))) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (sqrt.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) (sqrt.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) 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 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))

eval54.0ms (1%)

Compiler

Compiled 3104 to 1800 computations (42% saved)

prune35.0ms (0.7%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New1901191
Fresh000
Picked112
Done044
Total1916197
Accuracy
100.0%
Counts
197 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (+.f64 (+.f64 eps x) x) eps)
89.7%
(*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64)))
63.6%
(*.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))))
63.6%
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
Compiler

Compiled 54 to 35 computations (35.2% saved)

localize39.0ms (0.7%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
89.7%
(*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64)))
Compiler

Compiled 26 to 11 computations (57.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
Operation ival-mult, time spent: 5.0ms, 45.0% of total-time
Operation ival-add, time spent: 3.0ms, 27.0% of total-time
Operation ival-div, time spent: 2.0ms, 18.0% of total-time
Operation const, time spent: 1.0ms, 9.0% of total-time

series4.0ms (0.1%)

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

6 calls:

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

rewrite96.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
832×log1p-expm1-u
832×expm1-log1p-u
446×log-prod
405×prod-diff
166×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01237
115437
2225037
Stop Event
node limit
Counts
1 → 66
Calls
Call 1
Inputs
(*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64)))
Outputs
(+.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 eps (*.f64 x (/.f64 eps x))))
(+.f64 (*.f64 eps (*.f64 x (/.f64 eps x))) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64))))
(+.f64 (*.f64 (*.f64 eps (*.f64 x (/.f64 eps x))) #s(literal 1 binary64)) (*.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) (+.f64 (/.f64 eps x) #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) (+.f64 (/.f64 eps x) #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) (+.f64 (/.f64 eps x) #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) (+.f64 (/.f64 eps x) #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) (+.f64 (/.f64 eps x) #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 eps (*.f64 x (/.f64 eps x))) #s(literal 3 binary64)) (pow.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 eps (*.f64 x (/.f64 eps x))) (*.f64 eps (*.f64 x (/.f64 eps x))) (-.f64 (*.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 eps (*.f64 x #s(literal 2 binary64)))) (*.f64 (*.f64 eps (*.f64 x (/.f64 eps x))) (*.f64 eps (*.f64 x #s(literal 2 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 eps (*.f64 x (/.f64 eps x))) (*.f64 eps (*.f64 x (/.f64 eps x)))) (*.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 eps (*.f64 x #s(literal 2 binary64))))) (-.f64 (*.f64 eps (*.f64 x (/.f64 eps x))) (*.f64 eps (*.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 (*.f64 eps x) (+.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 (/.f64 eps x) #s(literal 2 binary64)))))
(/.f64 (*.f64 (*.f64 eps x) (+.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -4 binary64))) (+.f64 (/.f64 eps x) #s(literal -2 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64)) (*.f64 eps x)) (+.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 eps x) #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -4 binary64)) (*.f64 eps x)) (+.f64 (/.f64 eps x) #s(literal -2 binary64)))
(pow.f64 (*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) (+.f64 (/.f64 eps x) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64))))))
(log.f64 (*.f64 (exp.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64)))) (exp.f64 (*.f64 eps (*.f64 x (/.f64 eps x))))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)) (pow.f64 (+.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 eps x) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64))))) #s(literal 2 binary64)))
(fma.f64 eps (*.f64 x (/.f64 eps x)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 eps (*.f64 x #s(literal 2 binary64)) (*.f64 eps (*.f64 x (/.f64 eps x))))
(fma.f64 eps (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 eps x)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 x (*.f64 eps #s(literal 2 binary64)) (*.f64 eps (*.f64 x (/.f64 eps x))))
(fma.f64 x (*.f64 eps (/.f64 eps x)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (*.f64 eps x) (/.f64 eps x) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (*.f64 eps x) #s(literal 2 binary64) (*.f64 eps (*.f64 x (/.f64 eps x))))
(fma.f64 (/.f64 eps x) (*.f64 eps x) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal 2 binary64) (*.f64 eps x) (*.f64 eps (*.f64 x (/.f64 eps x))))
(fma.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 eps (*.f64 x (/.f64 eps x))))
(fma.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 x (/.f64 eps x))) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 eps x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 eps x)) (*.f64 eps x)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 eps x)) #s(literal 2 binary64)) (*.f64 eps (*.f64 x (/.f64 eps x))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 eps x)) (/.f64 eps x)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (/.f64 eps x)) (*.f64 (sqrt.f64 (/.f64 eps x)) (*.f64 eps x)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 eps x)) (*.f64 (sqrt.f64 (*.f64 eps x)) #s(literal 2 binary64)) (*.f64 eps (*.f64 x (/.f64 eps x))))
(fma.f64 (sqrt.f64 (*.f64 eps x)) (*.f64 (sqrt.f64 (*.f64 eps x)) (/.f64 eps x)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (*.f64 eps (*.f64 x (/.f64 eps x))) #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64)))) (cbrt.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))))) (cbrt.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64)))) (*.f64 eps (*.f64 x (/.f64 eps x))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 eps (*.f64 x (/.f64 eps x)))) (cbrt.f64 (*.f64 eps (*.f64 x (/.f64 eps x))))) (cbrt.f64 (*.f64 eps (*.f64 x (/.f64 eps x)))) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64)))) (sqrt.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64)))) (*.f64 eps (*.f64 x (/.f64 eps x))))
(fma.f64 (sqrt.f64 (*.f64 eps (*.f64 x (/.f64 eps x)))) (sqrt.f64 (*.f64 eps (*.f64 x (/.f64 eps x)))) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 eps x)) (sqrt.f64 (*.f64 eps x))) (*.f64 (sqrt.f64 (/.f64 eps x)) (sqrt.f64 (*.f64 eps x))) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 eps x)) (sqrt.f64 (/.f64 eps x))) (*.f64 (sqrt.f64 (*.f64 eps x)) (sqrt.f64 (/.f64 eps x))) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (*.f64 (/.f64 eps x) x) eps (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (*.f64 #s(literal 2 binary64) x) eps (*.f64 eps (*.f64 x (/.f64 eps x))))
(fma.f64 (*.f64 (*.f64 eps x) eps) (/.f64 #s(literal 1 binary64) x) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (*.f64 (/.f64 eps x) eps) x (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (*.f64 #s(literal 2 binary64) eps) x (*.f64 eps (*.f64 x (/.f64 eps x))))
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (*.f64 eps x)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 eps x)) (*.f64 eps (*.f64 x (/.f64 eps x))))
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 eps x))) (sqrt.f64 (*.f64 eps x)) (*.f64 eps (*.f64 x (/.f64 eps x))))
(fma.f64 (*.f64 (/.f64 eps x) (pow.f64 (cbrt.f64 (*.f64 eps x)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 eps x)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (*.f64 (/.f64 eps x) (sqrt.f64 (*.f64 eps x))) (sqrt.f64 (*.f64 eps x)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (*.f64 (*.f64 eps x) (pow.f64 (cbrt.f64 (/.f64 eps x)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 eps x)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (*.f64 (*.f64 eps x) (sqrt.f64 (/.f64 eps x))) (sqrt.f64 (/.f64 eps x)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))

simplify167.0ms (3.2%)

Algorithm
egg-herbie
Rules
742×fma-define
659×times-frac
398×*-commutative
330×associate-/l*
319×exp-prod
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02012998
15302654
217352513
373812506
Stop Event
node limit
Counts
90 → 89
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(pow.f64 eps #s(literal 2 binary64))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(pow.f64 eps #s(literal 2 binary64))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(pow.f64 eps #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(+.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 eps (*.f64 x (/.f64 eps x))))
(+.f64 (*.f64 eps (*.f64 x (/.f64 eps x))) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64))))
(+.f64 (*.f64 (*.f64 eps (*.f64 x (/.f64 eps x))) #s(literal 1 binary64)) (*.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) (+.f64 (/.f64 eps x) #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) (+.f64 (/.f64 eps x) #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) (+.f64 (/.f64 eps x) #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) (+.f64 (/.f64 eps x) #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) (+.f64 (/.f64 eps x) #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 eps (*.f64 x (/.f64 eps x))) #s(literal 3 binary64)) (pow.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 eps (*.f64 x (/.f64 eps x))) (*.f64 eps (*.f64 x (/.f64 eps x))) (-.f64 (*.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 eps (*.f64 x #s(literal 2 binary64)))) (*.f64 (*.f64 eps (*.f64 x (/.f64 eps x))) (*.f64 eps (*.f64 x #s(literal 2 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 eps (*.f64 x (/.f64 eps x))) (*.f64 eps (*.f64 x (/.f64 eps x)))) (*.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 eps (*.f64 x #s(literal 2 binary64))))) (-.f64 (*.f64 eps (*.f64 x (/.f64 eps x))) (*.f64 eps (*.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 (*.f64 eps x) (+.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 (/.f64 eps x) #s(literal 2 binary64)))))
(/.f64 (*.f64 (*.f64 eps x) (+.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -4 binary64))) (+.f64 (/.f64 eps x) #s(literal -2 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64)) (*.f64 eps x)) (+.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 eps x) #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -4 binary64)) (*.f64 eps x)) (+.f64 (/.f64 eps x) #s(literal -2 binary64)))
(pow.f64 (*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) (+.f64 (/.f64 eps x) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64))))))
(log.f64 (*.f64 (exp.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64)))) (exp.f64 (*.f64 eps (*.f64 x (/.f64 eps x))))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)) (pow.f64 (+.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 eps x) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64))))) #s(literal 2 binary64)))
(fma.f64 eps (*.f64 x (/.f64 eps x)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 eps (*.f64 x #s(literal 2 binary64)) (*.f64 eps (*.f64 x (/.f64 eps x))))
(fma.f64 eps (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 eps x)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 x (*.f64 eps #s(literal 2 binary64)) (*.f64 eps (*.f64 x (/.f64 eps x))))
(fma.f64 x (*.f64 eps (/.f64 eps x)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (*.f64 eps x) (/.f64 eps x) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (*.f64 eps x) #s(literal 2 binary64) (*.f64 eps (*.f64 x (/.f64 eps x))))
(fma.f64 (/.f64 eps x) (*.f64 eps x) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal 2 binary64) (*.f64 eps x) (*.f64 eps (*.f64 x (/.f64 eps x))))
(fma.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 eps (*.f64 x (/.f64 eps x))))
(fma.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 x (/.f64 eps x))) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 eps x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 eps x)) (*.f64 eps x)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 eps x)) #s(literal 2 binary64)) (*.f64 eps (*.f64 x (/.f64 eps x))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 eps x)) (/.f64 eps x)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (/.f64 eps x)) (*.f64 (sqrt.f64 (/.f64 eps x)) (*.f64 eps x)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 eps x)) (*.f64 (sqrt.f64 (*.f64 eps x)) #s(literal 2 binary64)) (*.f64 eps (*.f64 x (/.f64 eps x))))
(fma.f64 (sqrt.f64 (*.f64 eps x)) (*.f64 (sqrt.f64 (*.f64 eps x)) (/.f64 eps x)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (*.f64 eps (*.f64 x (/.f64 eps x))) #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64)))) (cbrt.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))))) (cbrt.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64)))) (*.f64 eps (*.f64 x (/.f64 eps x))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 eps (*.f64 x (/.f64 eps x)))) (cbrt.f64 (*.f64 eps (*.f64 x (/.f64 eps x))))) (cbrt.f64 (*.f64 eps (*.f64 x (/.f64 eps x)))) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64)))) (sqrt.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64)))) (*.f64 eps (*.f64 x (/.f64 eps x))))
(fma.f64 (sqrt.f64 (*.f64 eps (*.f64 x (/.f64 eps x)))) (sqrt.f64 (*.f64 eps (*.f64 x (/.f64 eps x)))) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 eps x)) (sqrt.f64 (*.f64 eps x))) (*.f64 (sqrt.f64 (/.f64 eps x)) (sqrt.f64 (*.f64 eps x))) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 eps x)) (sqrt.f64 (/.f64 eps x))) (*.f64 (sqrt.f64 (*.f64 eps x)) (sqrt.f64 (/.f64 eps x))) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (*.f64 (/.f64 eps x) x) eps (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (*.f64 #s(literal 2 binary64) x) eps (*.f64 eps (*.f64 x (/.f64 eps x))))
(fma.f64 (*.f64 (*.f64 eps x) eps) (/.f64 #s(literal 1 binary64) x) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (*.f64 (/.f64 eps x) eps) x (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (*.f64 #s(literal 2 binary64) eps) x (*.f64 eps (*.f64 x (/.f64 eps x))))
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (*.f64 eps x)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 eps x)) (*.f64 eps (*.f64 x (/.f64 eps x))))
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 eps x))) (sqrt.f64 (*.f64 eps x)) (*.f64 eps (*.f64 x (/.f64 eps x))))
(fma.f64 (*.f64 (/.f64 eps x) (pow.f64 (cbrt.f64 (*.f64 eps x)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 eps x)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (*.f64 (/.f64 eps x) (sqrt.f64 (*.f64 eps x))) (sqrt.f64 (*.f64 eps x)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (*.f64 (*.f64 eps x) (pow.f64 (cbrt.f64 (/.f64 eps x)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 eps x)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (*.f64 (*.f64 eps x) (sqrt.f64 (/.f64 eps x))) (sqrt.f64 (/.f64 eps x)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
Outputs
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(pow.f64 eps #s(literal 2 binary64))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 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 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.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 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(pow.f64 eps #s(literal 2 binary64))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 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 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.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 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(pow.f64 eps #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(+.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 eps (*.f64 x (/.f64 eps x))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(+.f64 (*.f64 eps (*.f64 x (/.f64 eps x))) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(+.f64 #s(literal 0 binary64) (*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(+.f64 (*.f64 (*.f64 eps (*.f64 x (/.f64 eps x))) #s(literal 1 binary64)) (*.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) #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 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) (+.f64 (/.f64 eps x) #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) (+.f64 (/.f64 eps x) #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) (+.f64 (/.f64 eps x) #s(literal 2 binary64))))))
(+.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 (pow.f64 (pow.f64 (exp.f64 eps) x) (+.f64 (/.f64 eps x) #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) (+.f64 (/.f64 eps x) #s(literal 2 binary64))))))
(*.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 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64))))) #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 (+.f64 (pow.f64 (*.f64 eps (*.f64 x (/.f64 eps x))) #s(literal 3 binary64)) (pow.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 eps (*.f64 x (/.f64 eps x))) (*.f64 eps (*.f64 x (/.f64 eps x))) (-.f64 (*.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 eps (*.f64 x #s(literal 2 binary64)))) (*.f64 (*.f64 eps (*.f64 x (/.f64 eps x))) (*.f64 eps (*.f64 x #s(literal 2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 eps (*.f64 x (/.f64 eps x))) #s(literal 3 binary64)) (pow.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))) (fma.f64 (*.f64 eps (*.f64 x (/.f64 eps x))) (*.f64 eps (*.f64 x (/.f64 eps x))) (*.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)) (-.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)) (*.f64 eps (*.f64 x (/.f64 eps x)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 3 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 (*.f64 eps x) #s(literal 3 binary64)))) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 eps x) (*.f64 (*.f64 eps x) (-.f64 #s(literal 2 binary64) (/.f64 eps x)))))))
(*.f64 (pow.f64 eps #s(literal 3 binary64)) (/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (*.f64 eps (+.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 eps (-.f64 (*.f64 #s(literal 2 binary64) x) eps))) (pow.f64 eps #s(literal 3 binary64))))))
(*.f64 (pow.f64 eps #s(literal 3 binary64)) (/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) x) eps)) (pow.f64 eps #s(literal 4 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 eps (*.f64 x (/.f64 eps x))) (*.f64 eps (*.f64 x (/.f64 eps x)))) (*.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 eps (*.f64 x #s(literal 2 binary64))))) (-.f64 (*.f64 eps (*.f64 x (/.f64 eps x))) (*.f64 eps (*.f64 x #s(literal 2 binary64)))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(/.f64 (*.f64 (*.f64 eps x) (+.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 (/.f64 eps x) #s(literal 2 binary64)))))
(*.f64 (*.f64 eps x) (/.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 eps x))))))
(*.f64 eps (*.f64 x (/.f64 (+.f64 (pow.f64 (/.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64)) (-.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 eps x)) (pow.f64 (/.f64 eps x) #s(literal 2 binary64)))))))
(*.f64 eps (/.f64 (*.f64 x (+.f64 (pow.f64 (/.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64))) (+.f64 #s(literal 4 binary64) (*.f64 (/.f64 eps x) (+.f64 #s(literal -2 binary64) (/.f64 eps x))))))
(/.f64 (*.f64 (*.f64 eps x) (+.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -4 binary64))) (+.f64 (/.f64 eps x) #s(literal -2 binary64)))
(/.f64 (*.f64 eps (*.f64 x (+.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -4 binary64)))) (+.f64 #s(literal -2 binary64) (/.f64 eps x)))
(*.f64 x (*.f64 eps (/.f64 (+.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -4 binary64)) (+.f64 #s(literal -2 binary64) (/.f64 eps x)))))
(*.f64 eps (/.f64 (fma.f64 x #s(literal -4 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (+.f64 #s(literal -2 binary64) (/.f64 eps x))))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64)) (*.f64 eps x)) (+.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 eps x) #s(literal 2 binary64)))))
(*.f64 (*.f64 eps x) (/.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 eps x))))))
(*.f64 eps (*.f64 x (/.f64 (+.f64 (pow.f64 (/.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64)) (-.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 eps x)) (pow.f64 (/.f64 eps x) #s(literal 2 binary64)))))))
(*.f64 eps (/.f64 (*.f64 x (+.f64 (pow.f64 (/.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64))) (+.f64 #s(literal 4 binary64) (*.f64 (/.f64 eps x) (+.f64 #s(literal -2 binary64) (/.f64 eps x))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -4 binary64)) (*.f64 eps x)) (+.f64 (/.f64 eps x) #s(literal -2 binary64)))
(/.f64 (*.f64 eps (*.f64 x (+.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -4 binary64)))) (+.f64 #s(literal -2 binary64) (/.f64 eps x)))
(*.f64 x (*.f64 eps (/.f64 (+.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -4 binary64)) (+.f64 #s(literal -2 binary64) (/.f64 eps x)))))
(*.f64 eps (/.f64 (fma.f64 x #s(literal -4 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (+.f64 #s(literal -2 binary64) (/.f64 eps x))))
(pow.f64 (*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64))) #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 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64)))) #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 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64))) #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 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64)))) #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 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64))) #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 (pow.f64 (pow.f64 (exp.f64 eps) x) (+.f64 (/.f64 eps x) #s(literal 2 binary64))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64))))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(log.f64 (*.f64 (exp.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64)))) (exp.f64 (*.f64 eps (*.f64 x (/.f64 eps 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 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64))) #s(literal 3 binary64)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)) (pow.f64 (+.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal 3 binary64))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 eps x) #s(literal 3 binary64))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64)))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64)))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(exp.f64 (log.f64 (*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64)))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64))))) #s(literal 3 binary64)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64))))) #s(literal 1/3 binary64)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64))))) #s(literal 2 binary64)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 eps (*.f64 x (/.f64 eps x)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 eps (*.f64 x #s(literal 2 binary64)) (*.f64 eps (*.f64 x (/.f64 eps x))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 eps (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 eps x)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 x (*.f64 eps #s(literal 2 binary64)) (*.f64 eps (*.f64 x (/.f64 eps x))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 x (*.f64 eps (/.f64 eps x)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (*.f64 eps x) (/.f64 eps x) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (*.f64 eps x) #s(literal 2 binary64) (*.f64 eps (*.f64 x (/.f64 eps x))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (/.f64 eps x) (*.f64 eps x) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 #s(literal 2 binary64) (*.f64 eps x) (*.f64 eps (*.f64 x (/.f64 eps x))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 eps (*.f64 x (/.f64 eps x))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 x (/.f64 eps x))) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 eps x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 eps x)) (*.f64 eps x)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(*.f64 eps (+.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 x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 eps x)) #s(literal 2 binary64)) (*.f64 eps (*.f64 x (/.f64 eps x))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 eps x)) (/.f64 eps x)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (sqrt.f64 (/.f64 eps x)) (*.f64 (sqrt.f64 (/.f64 eps x)) (*.f64 eps x)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (sqrt.f64 (*.f64 eps x)) (*.f64 (sqrt.f64 (*.f64 eps x)) #s(literal 2 binary64)) (*.f64 eps (*.f64 x (/.f64 eps x))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (sqrt.f64 (*.f64 eps x)) (*.f64 (sqrt.f64 (*.f64 eps x)) (/.f64 eps x)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (*.f64 eps (*.f64 x (/.f64 eps x))) #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64)))) (cbrt.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))))) (cbrt.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64)))) (*.f64 eps (*.f64 x (/.f64 eps x))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 eps (*.f64 x (/.f64 eps x)))) (cbrt.f64 (*.f64 eps (*.f64 x (/.f64 eps x))))) (cbrt.f64 (*.f64 eps (*.f64 x (/.f64 eps x)))) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (sqrt.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64)))) (sqrt.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64)))) (*.f64 eps (*.f64 x (/.f64 eps x))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (sqrt.f64 (*.f64 eps (*.f64 x (/.f64 eps x)))) (sqrt.f64 (*.f64 eps (*.f64 x (/.f64 eps x)))) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 eps x)) (sqrt.f64 (*.f64 eps x))) (*.f64 (sqrt.f64 (/.f64 eps x)) (sqrt.f64 (*.f64 eps x))) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 eps x)) (sqrt.f64 (/.f64 eps x))) (*.f64 (sqrt.f64 (*.f64 eps x)) (sqrt.f64 (/.f64 eps x))) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (*.f64 (/.f64 eps x) x) eps (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (*.f64 #s(literal 2 binary64) x) eps (*.f64 eps (*.f64 x (/.f64 eps x))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (*.f64 (*.f64 eps x) eps) (/.f64 #s(literal 1 binary64) x) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (*.f64 (/.f64 eps x) eps) x (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (*.f64 #s(literal 2 binary64) eps) x (*.f64 eps (*.f64 x (/.f64 eps x))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (*.f64 eps x)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 eps x)) (*.f64 eps (*.f64 x (/.f64 eps x))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 eps x))) (sqrt.f64 (*.f64 eps x)) (*.f64 eps (*.f64 x (/.f64 eps x))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (*.f64 (/.f64 eps x) (pow.f64 (cbrt.f64 (*.f64 eps x)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 eps x)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (*.f64 (/.f64 eps x) (sqrt.f64 (*.f64 eps x))) (sqrt.f64 (*.f64 eps x)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (*.f64 (*.f64 eps x) (pow.f64 (cbrt.f64 (/.f64 eps x)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 eps x)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (*.f64 (*.f64 eps x) (sqrt.f64 (/.f64 eps x))) (sqrt.f64 (/.f64 eps x)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))

eval23.0ms (0.4%)

Compiler

Compiled 1577 to 686 computations (56.5% saved)

prune16.0ms (0.3%)

Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New89089
Fresh000
Picked011
Done055
Total89695
Accuracy
100.0%
Counts
95 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (+.f64 (+.f64 eps x) x) eps)
89.7%
(*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64)))
63.6%
(*.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))))
63.6%
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
Compiler

Compiled 139 to 75 computations (46% saved)

regimes9.0ms (0.2%)

Counts
10 → 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 (+.f64 (+.f64 eps x) x) eps)
(*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
(*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64)))
(*.f64 (+.f64 (+.f64 eps x) x) (-.f64 (+.f64 eps x) x))
(+.f64 (*.f64 (/.f64 eps x) (*.f64 eps x)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(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
(*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))
Calls

3 calls:

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

Compiled 17 to 12 computations (29.4% saved)

regimes3.0ms (0.1%)

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:

1.0ms
eps
1.0ms
x
Results
AccuracySegmentsBranch
63.6%1x
63.6%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
x
0.0ms
eps
Results
AccuracySegmentsBranch
63.6%1x
63.6%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify3.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01566
12266
Stop Event
done
saturated
Calls
Call 1
Inputs
(*.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
(*.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))
Compiler

Compiled 23 to 16 computations (30.4% saved)

soundness467.0ms (8.9%)

Rules
771×distribute-lft-in
723×distribute-rgt-in
578×sub-neg
485×unsub-neg
479×fma-neg
Iterations

Useful iterations: 4 (0.0ms)

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

Compiled 203 to 59 computations (70.9% saved)

end0.0ms (0%)

preprocess31.0ms (0.6%)

Compiler

Compiled 60 to 40 computations (33.3% saved)

Profiling

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