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

Time bar (total: 6.1s)

analyze0.0ms (0%)

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

Compiled 26 to 19 computations (26.9% saved)

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

sample2.0s (33.3%)

Results
640.0ms5241×0valid
649.0ms2515×1valid
159.0ms500×2valid
Precisions
Click to see histograms. Total time spent on operations: 951.0ms
ival-pow: 332.0ms (34.9% of total)
ival-<=: 155.0ms (16.3% of total)
ival-sub: 150.0ms (15.8% of total)
backward-pass: 140.0ms (14.7% of total)
ival-add: 119.0ms (12.5% of total)
const: 31.0ms (3.3% of total)
ival-and: 25.0ms (2.6% of total)
Bogosity

preprocess199.0ms (3.3%)

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

Useful iterations: 4 (0.0ms)

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

explain138.0ms (2.3%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
652(3.184963727921566e-50 5.893636925662912e-275)0-(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
00-0-x
079(6.108891318447589e-75 -8.993513647217485e-117)0-(pow.f64 (+.f64 x eps) #s(literal 2 binary64))
00-0-(+.f64 x eps)
00-0-#s(literal 2 binary64)
00-0-(pow.f64 x #s(literal 2 binary64))
00-0-eps
Results
35.0ms328×0valid
44.0ms146×1valid
16.0ms38×2valid
Compiler

Compiled 63 to 36 computations (42.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 61.0ms
ival-pow: 40.0ms (66% of total)
ival-add: 8.0ms (13.2% of total)
backward-pass: 7.0ms (11.5% of total)
ival-sub: 4.0ms (6.6% of total)
const: 2.0ms (3.3% of total)

eval0.0ms (0%)

Compiler

Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
79.0%
(-.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)

localize236.0ms (3.9%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 x eps)
cost-diff0
(pow.f64 (+.f64 x eps) #s(literal 2 binary64))
cost-diff0
(*.f64 x #s(literal 2 binary64))
cost-diff6528
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
accuracy100.0%
(*.f64 x #s(literal 2 binary64))
accuracy100.0%
(pow.f64 (+.f64 x eps) #s(literal 2 binary64))
accuracy100.0%
(*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))
accuracy79.0%
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
Rules
765×fma-neg
583×distribute-neg-in
544×sub-neg
390×unsub-neg
389×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
015145
129133
265133
3142133
4314133
51011133
62791133
75563133
87228133
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))
eps
(+.f64 eps (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(-.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))
(+.f64 x eps)
x
eps
#s(literal 2 binary64)
(pow.f64 x #s(literal 2 binary64))
Outputs
(*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
eps
(+.f64 eps (*.f64 x #s(literal 2 binary64)))
(fma.f64 x #s(literal 2 binary64) eps)
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(-.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 eps (fma.f64 x #s(literal 2 binary64) eps))
(pow.f64 (+.f64 x eps) #s(literal 2 binary64))
(pow.f64 (+.f64 eps x) #s(literal 2 binary64))
(+.f64 x eps)
(+.f64 eps x)
x
eps
#s(literal 2 binary64)
(pow.f64 x #s(literal 2 binary64))
Results
93.0ms164×0valid
28.0ms73×1valid
9.0ms19×2valid
Compiler

Compiled 44 to 24 computations (45.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 109.0ms
ival-pow: 82.0ms (75.1% of total)
ival-add: 9.0ms (8.2% of total)
ival-mult: 9.0ms (8.2% of total)
backward-pass: 5.0ms (4.6% of total)
const: 2.0ms (1.8% of total)
ival-sub: 2.0ms (1.8% of total)

series13.0ms (0.2%)

Counts
5 → 108
Calls
Call 1
Inputs
#<alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))>
#<alt (pow.f64 (+.f64 x eps) #s(literal 2 binary64))>
#<alt (*.f64 x #s(literal 2 binary64))>
#<alt (+.f64 x eps)>
Outputs
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<alt (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))>
#<alt (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))>
#<alt (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.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 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))))>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt eps>
#<alt (+.f64 eps x)>
#<alt (+.f64 eps x)>
#<alt (+.f64 eps x)>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 eps x)>
#<alt (+.f64 eps x)>
#<alt (+.f64 eps x)>
#<alt eps>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))>
#<alt eps>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64))))>
Calls

27 calls:

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

rewrite304.0ms (5%)

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
015104
1223100
23301100
Stop Event
node limit
Counts
5 → 225
Calls
Call 1
Inputs
(-.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))))
(pow.f64 (+.f64 x eps) #s(literal 2 binary64))
(*.f64 x #s(literal 2 binary64))
(+.f64 x eps)
Outputs
(+.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (neg.f64 (pow.f64 x #s(literal 2 binary64))))
(+.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (*.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (-.f64 (pow.f64 (+.f64 x eps) #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 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 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))))
(+.f64 (-.f64 (pow.f64 (+.f64 x eps) #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))))
(+.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (+.f64 x eps) #s(literal 2 binary64)))
(*.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 x eps) #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 x eps) x) #s(literal 2 binary64))))))
(*.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 (+.f64 x eps) #s(literal 2 binary64)))))
(*.f64 (+.f64 (+.f64 x eps) x) (-.f64 (+.f64 x eps) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 x eps) #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 x eps) x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (pow.f64 (+.f64 x eps) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 (+.f64 x eps) #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 x eps) x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x (pow.f64 (+.f64 x eps) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 (+.f64 x eps) #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 x eps) x) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (fma.f64 x x (pow.f64 (+.f64 x eps) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 x eps) #s(literal 6 binary64)) (pow.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 x eps) #s(literal 4 binary64)) (-.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) (neg.f64 (pow.f64 x #s(literal 2 binary64)))) (*.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (neg.f64 (pow.f64 x #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 4 binary64)) (*.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) (neg.f64 (pow.f64 x #s(literal 2 binary64))))) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (neg.f64 (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x eps) #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 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (log.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 x (neg.f64 x) (pow.f64 (+.f64 x eps) #s(literal 2 binary64)))
(fma.f64 (+.f64 x eps) (+.f64 x eps) (neg.f64 (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64) (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 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 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 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 #s(literal 1 binary64) (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (neg.f64 (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (*.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 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 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x eps) #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 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (+.f64 x eps) #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x eps)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (+.f64 x eps) #s(literal 4 binary64))) (neg.f64 (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x eps)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (+.f64 x eps) #s(literal 4 binary64))) (*.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x eps)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 x eps)) (+.f64 x eps)) (neg.f64 (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x eps)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 x eps)) (+.f64 x eps)) (*.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (+.f64 x eps)) #s(literal 2 binary64)) (neg.f64 (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (+.f64 x eps)) #s(literal 2 binary64)) (*.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (pow.f64 (+.f64 x eps) #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #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 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #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 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 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 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (pow.f64 (+.f64 x eps) #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 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 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 (sqrt.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 x eps) #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 x eps)) (*.f64 (sqrt.f64 (+.f64 x eps)) (+.f64 x eps)) (neg.f64 (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (+.f64 x eps)) (*.f64 (sqrt.f64 (+.f64 x eps)) (+.f64 x eps)) (*.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 x eps) #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 x 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 x eps) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 x eps) #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 x 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 x eps) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 x eps) #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 x 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 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 (+.f64 x eps) #s(literal 2 binary64)))) (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 (+.f64 x eps) #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 x eps) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 (+.f64 x eps) #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 x eps) #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 x eps) #s(literal 2 binary64)))
(fma.f64 (*.f64 (+.f64 x eps) (sqrt.f64 (+.f64 x eps))) (sqrt.f64 (+.f64 x eps)) (neg.f64 (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (*.f64 (+.f64 x eps) (sqrt.f64 (+.f64 x eps))) (sqrt.f64 (+.f64 x eps)) (*.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 x eps) #s(literal 2 binary64)))
(fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)) (pow.f64 (+.f64 x eps) #s(literal 2 binary64)))
(fma.f64 (+.f64 (+.f64 x eps) x) (-.f64 (+.f64 x eps) x) (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (+.f64 (+.f64 x eps) x) (-.f64 (+.f64 x eps) 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 x eps) x) (-.f64 (+.f64 x eps) 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 x eps) #s(literal 2 binary64)))
(fma.f64 (*.f64 (+.f64 x eps) (pow.f64 (cbrt.f64 (+.f64 x eps)) #s(literal 2 binary64))) (cbrt.f64 (+.f64 x eps)) (neg.f64 (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (*.f64 (+.f64 x eps) (pow.f64 (cbrt.f64 (+.f64 x eps)) #s(literal 2 binary64))) (cbrt.f64 (+.f64 x eps)) (*.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (*.f64 #s(literal 2 binary64) eps)))
(+.f64 (*.f64 x (*.f64 #s(literal 2 binary64) eps)) (pow.f64 eps #s(literal 2 binary64)))
(+.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 #s(literal 2 binary64) eps)) #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 x (*.f64 #s(literal 2 binary64) eps)) #s(literal 3 binary64))) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 #s(literal 2 binary64) eps)) (*.f64 x (*.f64 #s(literal 2 binary64) eps))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (*.f64 #s(literal 2 binary64) eps))))))
(/.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (*.f64 (*.f64 x (*.f64 #s(literal 2 binary64) eps)) (*.f64 x (*.f64 #s(literal 2 binary64) eps)))) (-.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (*.f64 #s(literal 2 binary64) eps))))
(/.f64 (*.f64 eps (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) (neg.f64 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)) (fma.f64 x #s(literal 2 binary64) (neg.f64 eps)) (pow.f64 eps #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) eps) (+.f64 eps (*.f64 #s(literal -2 binary64) x)))
(pow.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 eps) (fma.f64 x #s(literal 2 binary64) eps)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)))))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 1 binary64)))
(fma.f64 x (*.f64 #s(literal 2 binary64) eps) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 eps eps (*.f64 x (*.f64 #s(literal 2 binary64) eps)))
(fma.f64 eps (*.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (*.f64 x #s(literal 2 binary64)) eps (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (*.f64 #s(literal 2 binary64) eps)))
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 2 binary64) eps)) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) eps) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (*.f64 (cbrt.f64 eps) eps) (*.f64 x (*.f64 #s(literal 2 binary64) eps)))
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (*.f64 (cbrt.f64 eps) (*.f64 x #s(literal 2 binary64))) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 #s(literal 2 binary64) eps)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) eps) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) eps) (*.f64 x (*.f64 #s(literal 2 binary64) eps)))
(fma.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (*.f64 x #s(literal 2 binary64))) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (*.f64 x eps) #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (*.f64 x (*.f64 #s(literal 2 binary64) eps)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x (*.f64 #s(literal 2 binary64) eps))) (cbrt.f64 (*.f64 x (*.f64 #s(literal 2 binary64) eps)))) (cbrt.f64 (*.f64 x (*.f64 #s(literal 2 binary64) eps))) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (*.f64 eps (sqrt.f64 eps)) (sqrt.f64 eps) (*.f64 x (*.f64 #s(literal 2 binary64) eps)))
(fma.f64 (sqrt.f64 (*.f64 x (*.f64 #s(literal 2 binary64) eps))) (sqrt.f64 (*.f64 x (*.f64 #s(literal 2 binary64) eps))) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 (sqrt.f64 eps) (sqrt.f64 (*.f64 x #s(literal 2 binary64)))) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 eps)) (*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 eps)) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (*.f64 eps (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (cbrt.f64 eps) (*.f64 x (*.f64 #s(literal 2 binary64) eps)))
(fma.f64 (*.f64 eps #s(literal 2 binary64)) x (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (*.f64 eps (pow.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (*.f64 eps (sqrt.f64 (*.f64 x #s(literal 2 binary64)))) (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (cbrt.f64 eps) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 eps)) (sqrt.f64 eps) (pow.f64 eps #s(literal 2 binary64)))
(+.f64 (*.f64 (+.f64 x eps) x) (*.f64 (+.f64 x eps) eps))
(+.f64 (*.f64 (+.f64 x eps) eps) (*.f64 (+.f64 x eps) x))
(+.f64 (*.f64 x (+.f64 x eps)) (*.f64 eps (+.f64 x eps)))
(+.f64 (*.f64 eps (+.f64 x eps)) (*.f64 x (+.f64 x eps)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (+.f64 x eps) (+.f64 x eps))
(*.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x eps) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x eps)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (+.f64 x eps) #s(literal 4 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x eps)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 x eps)) (+.f64 x eps)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (+.f64 x eps)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (+.f64 x eps)) (*.f64 (sqrt.f64 (+.f64 x eps)) (+.f64 x eps)))
(*.f64 (*.f64 (+.f64 x eps) (sqrt.f64 (+.f64 x eps))) (sqrt.f64 (+.f64 x eps)))
(*.f64 (*.f64 (+.f64 x eps) (pow.f64 (cbrt.f64 (+.f64 x eps)) #s(literal 2 binary64))) (cbrt.f64 (+.f64 x eps)))
(/.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 x eps) (+.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 x eps) (-.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 x eps)) (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 x eps)) (-.f64 x eps))
(sqrt.f64 (pow.f64 (+.f64 x eps) #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 x eps) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 x (+.f64 x eps) (*.f64 eps (+.f64 x eps)))
(fma.f64 eps (+.f64 x eps) (*.f64 x (+.f64 x eps)))
(fma.f64 (+.f64 x eps) x (*.f64 (+.f64 x eps) eps))
(fma.f64 (+.f64 x eps) eps (*.f64 (+.f64 x eps) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))))
(exp.f64 (log.f64 (*.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x eps))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x eps)) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 x eps)))
(*.f64 (+.f64 x eps) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x eps))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x eps)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x eps)))
(*.f64 (cbrt.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (+.f64 x eps)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (+.f64 x eps)) (sqrt.f64 (+.f64 x eps)))
(*.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (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 #s(literal 1 binary64) (-.f64 x eps)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x eps)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x eps) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))))
(/.f64 (+.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 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x eps))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (-.f64 x eps))
(/.f64 (neg.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))) (neg.f64 (-.f64 x eps)))
(/.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 eps x))
(pow.f64 (+.f64 x eps) #s(literal 1 binary64))
(pow.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (+.f64 x eps)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x eps) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x eps)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)))
(fabs.f64 (+.f64 x eps))
(log.f64 (exp.f64 (+.f64 x eps)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x eps))))
(cbrt.f64 (pow.f64 (+.f64 x eps) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x eps)))
(log1p.f64 (expm1.f64 (+.f64 x eps)))
(exp.f64 (log.f64 (+.f64 x eps)))
(exp.f64 (*.f64 (log.f64 (+.f64 x eps)) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) eps)
(fma.f64 eps #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) x eps)
(fma.f64 #s(literal 1 binary64) eps x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) eps)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) eps)
(fma.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 eps) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) eps)
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) x)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) eps)

simplify376.0ms (6.2%)

Algorithm
egg-herbie
Rules
450×fma-neg
414×cancel-sign-sub-inv
312×associate-+l+
302×associate-+r+
299×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
050411473
1118511139
2380210352
Stop Event
node limit
Counts
333 → 318
Calls
Call 1
Inputs
(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))
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(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (+.f64 x eps)) (-.f64 x eps))
(sqrt.f64 (pow.f64 (+.f64 x eps) #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 x eps) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 x (+.f64 x eps) (*.f64 eps (+.f64 x eps)))
(fma.f64 eps (+.f64 x eps) (*.f64 x (+.f64 x eps)))
(fma.f64 (+.f64 x eps) x (*.f64 (+.f64 x eps) eps))
(fma.f64 (+.f64 x eps) eps (*.f64 (+.f64 x eps) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))))
(exp.f64 (log.f64 (*.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x eps))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x eps)) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 x eps)))
(*.f64 (+.f64 x eps) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x eps))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x eps)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x eps)))
(*.f64 (cbrt.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (+.f64 x eps)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (+.f64 x eps)) (sqrt.f64 (+.f64 x eps)))
(*.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (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 #s(literal 1 binary64) (-.f64 x eps)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x eps)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x eps) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))))
(/.f64 (+.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 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x eps))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (-.f64 x eps))
(/.f64 (neg.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))) (neg.f64 (-.f64 x eps)))
(/.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 eps x))
(pow.f64 (+.f64 x eps) #s(literal 1 binary64))
(pow.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (+.f64 x eps)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x eps) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x eps)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)))
(fabs.f64 (+.f64 x eps))
(log.f64 (exp.f64 (+.f64 x eps)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x eps))))
(cbrt.f64 (pow.f64 (+.f64 x eps) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x eps)))
(log1p.f64 (expm1.f64 (+.f64 x eps)))
(exp.f64 (log.f64 (+.f64 x eps)))
(exp.f64 (*.f64 (log.f64 (+.f64 x eps)) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) eps)
(fma.f64 eps #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) x eps)
(fma.f64 #s(literal 1 binary64) eps x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) eps)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) eps)
(fma.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 eps) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) eps)
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) x)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) eps)
Outputs
(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 x (*.f64 eps #s(literal 2 binary64)))
(*.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 (fma.f64 eps #s(literal 2 binary64) (/.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 (fma.f64 eps #s(literal 2 binary64) (/.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 (fma.f64 eps #s(literal 2 binary64) (/.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 eps #s(literal 2 binary64)))
(*.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 (fma.f64 eps #s(literal 2 binary64) (/.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 (fma.f64 eps #s(literal 2 binary64) (/.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 (fma.f64 eps #s(literal 2 binary64) (/.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 eps #s(literal 2 binary64)))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 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)) (+.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)))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 x (*.f64 eps #s(literal 2 binary64)))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 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)) (+.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 (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 x (*.f64 eps #s(literal 2 binary64)))
(*.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 (fma.f64 eps #s(literal 2 binary64) (/.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 (fma.f64 eps #s(literal 2 binary64) (/.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 (fma.f64 eps #s(literal 2 binary64) (/.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 eps #s(literal 2 binary64)))
(*.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 (fma.f64 eps #s(literal 2 binary64) (/.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)))))
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(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #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 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 (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 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64))) (-.f64 x eps)))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (*.f64 (-.f64 x eps) (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 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (-.f64 x eps))) (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 (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 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (*.f64 (-.f64 x eps) (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 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (-.f64 x eps))) (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 x eps) (+.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 x eps) (-.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 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (/.f64 (+.f64 eps x) (-.f64 x eps)))
(/.f64 (*.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 x eps)) (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 x eps)) (-.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 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (/.f64 (+.f64 eps x) (-.f64 x eps)))
(sqrt.f64 (pow.f64 (+.f64 x eps) #s(literal 4 binary64)))
(sqrt.f64 (pow.f64 (+.f64 eps x) #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64))))
(fma.f64 x (+.f64 x (*.f64 eps #s(literal 2 binary64))) (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 x eps) #s(literal 2 binary64)))))
(fma.f64 x (+.f64 x (*.f64 eps #s(literal 2 binary64))) (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 x eps) #s(literal 6 binary64)))
(cbrt.f64 (pow.f64 (+.f64 eps x) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64))))
(fma.f64 x (+.f64 x (*.f64 eps #s(literal 2 binary64))) (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))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64))))
(fma.f64 x (+.f64 x (*.f64 eps #s(literal 2 binary64))) (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 x eps) #s(literal 2 binary64))))
(fma.f64 x (+.f64 x (*.f64 eps #s(literal 2 binary64))) (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 x eps) #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 x (+.f64 x (*.f64 eps #s(literal 2 binary64))) (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 x eps) (*.f64 eps (+.f64 x eps)))
(fma.f64 x (+.f64 x (*.f64 eps #s(literal 2 binary64))) (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 x eps) (*.f64 x (+.f64 x eps)))
(fma.f64 x (+.f64 x (*.f64 eps #s(literal 2 binary64))) (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 x eps) x (*.f64 (+.f64 x eps) eps))
(fma.f64 x (+.f64 x (*.f64 eps #s(literal 2 binary64))) (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 x eps) eps (*.f64 (+.f64 x eps) x))
(fma.f64 x (+.f64 x (*.f64 eps #s(literal 2 binary64))) (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))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) x)
(pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) x)
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))
(*.f64 #s(literal 2 binary64) x)
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x))
(*.f64 #s(literal 2 binary64) x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) x)
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) x)
(log1p.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) x)
(exp.f64 (log.f64 (*.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) x)
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) x)
(-.f64 (exp.f64 (log1p.f64 (+.f64 x eps))) #s(literal 1 binary64))
(+.f64 eps x)
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x eps)) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 x eps)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (-.f64 x eps))
(*.f64 (+.f64 x eps) #s(literal 1 binary64))
(+.f64 eps x)
(*.f64 #s(literal 1 binary64) (+.f64 x eps))
(+.f64 eps x)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x eps)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x eps)))
(+.f64 eps x)
(*.f64 (cbrt.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (+.f64 x eps)) #s(literal 2 binary64)))
(+.f64 eps x)
(*.f64 (sqrt.f64 (+.f64 x eps)) (sqrt.f64 (+.f64 x eps)))
(+.f64 eps x)
(*.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64)))))
(/.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 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x eps)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (-.f64 x eps))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x eps)) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 eps x) #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 eps x)) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 eps x) #s(literal 4 binary64)))) (fabs.f64 (cbrt.f64 (+.f64 eps x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64)))))
(/.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 #s(literal 1 binary64) (/.f64 (-.f64 x eps) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (-.f64 x eps))
(/.f64 (+.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 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64)))))
(/.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 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x eps))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64)))))
(/.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 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (-.f64 x eps))
(/.f64 (neg.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64)))))
(/.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 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))) (neg.f64 (-.f64 x eps)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (-.f64 x eps))
(/.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 eps x))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (-.f64 x eps))
(pow.f64 (+.f64 x eps) #s(literal 1 binary64))
(+.f64 eps x)
(pow.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(+.f64 eps x)
(pow.f64 (cbrt.f64 (+.f64 x eps)) #s(literal 3 binary64))
(+.f64 eps x)
(pow.f64 (pow.f64 (+.f64 x eps) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(+.f64 eps x)
(pow.f64 (sqrt.f64 (+.f64 x eps)) #s(literal 2 binary64))
(+.f64 eps x)
(sqrt.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)))
(+.f64 eps x)
(fabs.f64 (+.f64 x eps))
(+.f64 eps x)
(log.f64 (exp.f64 (+.f64 x eps)))
(+.f64 eps x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x eps))))
(+.f64 eps x)
(cbrt.f64 (pow.f64 (+.f64 x eps) #s(literal 3 binary64)))
(+.f64 eps x)
(expm1.f64 (log1p.f64 (+.f64 x eps)))
(+.f64 eps x)
(log1p.f64 (expm1.f64 (+.f64 x eps)))
(+.f64 eps x)
(exp.f64 (log.f64 (+.f64 x eps)))
(+.f64 eps x)
(exp.f64 (*.f64 (log.f64 (+.f64 x eps)) #s(literal 1 binary64)))
(+.f64 eps x)
(fma.f64 x #s(literal 1 binary64) eps)
(+.f64 eps x)
(fma.f64 eps #s(literal 1 binary64) x)
(+.f64 eps x)
(fma.f64 #s(literal 1 binary64) x eps)
(+.f64 eps x)
(fma.f64 #s(literal 1 binary64) eps x)
(+.f64 eps x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) eps)
(+.f64 eps x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) eps)
(+.f64 eps x)
(fma.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) x)
(+.f64 eps x)
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 eps) x)
(+.f64 eps x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) eps)
(+.f64 eps x)
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) x)
(+.f64 eps x)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) eps)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (fabs.f64 (cbrt.f64 x)) eps)

eval74.0ms (1.2%)

Compiler

Compiled 5375 to 3242 computations (39.7% saved)

prune45.0ms (0.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New3144318
Fresh000
Picked112
Done000
Total3155320
Accuracy
100.0%
Counts
320 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
89.2%
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) eps)))
99.8%
(*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
60.8%
(*.f64 x (*.f64 eps #s(literal 2 binary64)))
100.0%
(*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))
60.7%
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
Compiler

Compiled 47 to 33 computations (29.8% saved)

localize341.0ms (5.6%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x (*.f64 eps #s(literal 2 binary64)))
cost-diff0
(*.f64 eps x)
cost-diff0
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
cost-diff320
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) eps)))
accuracy99.9%
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
accuracy99.9%
(*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
accuracy99.8%
(*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
accuracy89.1%
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) eps)))
Rules
1283×cube-prod
1144×swap-sqr
997×cube-div
891×fma-define
568×associate-/l/
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
022296
155292
2116292
3244292
4498266
5731266
61504266
72912266
83843266
94648266
105763266
116285266
126760266
136919266
146975266
156979266
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
#s(literal 2 binary64)
(*.f64 eps x)
eps
x
(*.f64 x (*.f64 eps #s(literal 2 binary64)))
x
(*.f64 eps #s(literal 2 binary64))
eps
#s(literal 2 binary64)
(*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
x
(*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
eps
(+.f64 #s(literal 2 binary64) (/.f64 eps x))
#s(literal 2 binary64)
(/.f64 eps x)
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) eps)))
(pow.f64 eps #s(literal 2 binary64))
eps
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) eps))
#s(literal 1 binary64)
(/.f64 (*.f64 #s(literal 2 binary64) x) eps)
(*.f64 #s(literal 2 binary64) x)
x
Outputs
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
#s(literal 2 binary64)
(*.f64 eps x)
eps
x
(*.f64 x (*.f64 eps #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
x
(*.f64 eps #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) eps)
eps
#s(literal 2 binary64)
(*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
(*.f64 eps (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
x
(*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
eps
(+.f64 #s(literal 2 binary64) (/.f64 eps x))
#s(literal 2 binary64)
(/.f64 eps x)
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) eps)))
(*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
(*.f64 eps (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(pow.f64 eps #s(literal 2 binary64))
eps
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) eps))
(fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (*.f64 #s(literal 2 binary64) x) eps)
(*.f64 #s(literal 2 binary64) (/.f64 x eps))
(/.f64 #s(literal 2 binary64) (/.f64 eps x))
(*.f64 x (/.f64 #s(literal 2 binary64) eps))
(*.f64 #s(literal 2 binary64) x)
x
Results
84.0ms256×0valid
Compiler

Compiled 85 to 46 computations (45.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 51.0ms
ival-mult: 21.0ms (41% of total)
ival-div: 14.0ms (27.4% of total)
ival-pow: 8.0ms (15.6% of total)
ival-add: 6.0ms (11.7% of total)
const: 2.0ms (3.9% of total)
backward-pass: 0.0ms (0% of total)

series20.0ms (0.3%)

Counts
6 → 93
Calls
Call 1
Inputs
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) eps)))>
#<alt (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))>
#<alt (*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<alt (*.f64 eps x)>
#<alt (*.f64 x (*.f64 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 (*.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 (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
Calls

36 calls:

TimeVariablePointExpression
4.0ms
x
@inf
(* 2 (* eps x))
2.0ms
x
@0
(* (pow eps 2) (+ 1 (/ (* 2 x) eps)))
1.0ms
x
@inf
(* (pow eps 2) (+ 1 (/ (* 2 x) eps)))
1.0ms
x
@-inf
(* x (* eps (+ 2 (/ eps x))))
1.0ms
eps
@0
(* (pow eps 2) (+ 1 (/ (* 2 x) eps)))

rewrite160.0ms (2.6%)

Algorithm
batch-egg-rewrite
Rules
1049×log1p-expm1-u
848×expm1-log1p-u
182×associate-*r*
149×add-exp-log
149×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022156
1366152
24872152
Stop Event
node limit
Counts
6 → 126
Calls
Call 1
Inputs
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) eps)))
(*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
(*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 eps x)
(*.f64 x (*.f64 eps #s(literal 2 binary64)))
Outputs
(+.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 eps (*.f64 #s(literal 2 binary64) x))))
(+.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 eps (*.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)))
(+.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 eps (*.f64 #s(literal 2 binary64) x))) (pow.f64 eps #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 eps (*.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64))) (+.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 eps (*.f64 #s(literal 2 binary64) x))) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 eps (*.f64 #s(literal 2 binary64) x)))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 eps (*.f64 #s(literal 2 binary64) x)))))))
(/.f64 (-.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 eps (*.f64 #s(literal 2 binary64) x))) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 eps (*.f64 #s(literal 2 binary64) x))))) (-.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (/.f64 #s(literal 2 binary64) eps)) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x (/.f64 #s(literal 2 binary64) eps)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 x eps)))))
(/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (/.f64 #s(literal 2 binary64) eps)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 2 binary64) eps))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (/.f64 #s(literal 2 binary64) eps)) #s(literal 3 binary64))) (pow.f64 eps #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x (/.f64 #s(literal 2 binary64) eps)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 x eps)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (/.f64 #s(literal 2 binary64) eps)) #s(literal 2 binary64))) (pow.f64 eps #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 2 binary64) eps))))
(pow.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 eps (sqrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 eps eps (/.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 eps (*.f64 #s(literal 2 binary64) x))))
(fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 eps (*.f64 #s(literal 2 binary64) x))))
(fma.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 eps (*.f64 #s(literal 2 binary64) x))))
(fma.f64 (cbrt.f64 (pow.f64 eps #s(literal 4 binary64))) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 eps (*.f64 #s(literal 2 binary64) x))))
(+.f64 (*.f64 eps #s(literal 2 binary64)) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(+.f64 (*.f64 eps #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) #s(literal 1 binary64)))
(+.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (*.f64 eps #s(literal 2 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 (pow.f64 eps #s(literal 2 binary64)) #s(literal 4 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 (pow.f64 eps #s(literal 2 binary64)) #s(literal 4 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))
(fma.f64 #s(literal 1 binary64) (*.f64 eps #s(literal 2 binary64)) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 eps #s(literal 2 binary64))) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(fma.f64 (sqrt.f64 (*.f64 eps #s(literal 2 binary64))) (sqrt.f64 (*.f64 eps #s(literal 2 binary64))) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(+.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(+.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 eps x) (/.f64 eps x)))
(+.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)) (*.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) x))
(+.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)) (*.f64 (/.f64 eps x) (*.f64 eps x)))
(+.f64 (*.f64 (*.f64 eps x) (/.f64 eps x)) (*.f64 eps (*.f64 #s(literal 2 binary64) x)))
(+.f64 (*.f64 (/.f64 eps x) (*.f64 eps x)) (*.f64 eps (*.f64 #s(literal 2 binary64) x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 eps x)) (*.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 #s(literal 2 binary64) (/.f64 eps x)) (*.f64 eps x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 eps x)) (*.f64 eps x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 eps x)) (*.f64 eps x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 eps x)) (*.f64 eps x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 eps x)) (*.f64 eps x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 2 binary64) (/.f64 eps x))) eps) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 eps x)) (*.f64 eps x)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 eps x)) (*.f64 eps x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(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))))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 eps x)) (*.f64 eps x))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 eps x)) (*.f64 eps x))))
(exp.f64 (log.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 eps x)) (*.f64 eps x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 eps x)) (*.f64 eps x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)))) #s(literal 1 binary64))
(pow.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 eps) #s(literal 2 binary64)) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(cbrt.f64 (pow.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x))))
(log1p.f64 (expm1.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x))))
(exp.f64 (log.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps x))) #s(literal 1 binary64))
(pow.f64 (*.f64 eps x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 eps) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps x))))
(cbrt.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 eps x)))
(log1p.f64 (expm1.f64 (*.f64 eps x)))
(exp.f64 (log.f64 (*.f64 eps x)))
(exp.f64 (*.f64 (log.f64 (*.f64 eps x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)))) #s(literal 1 binary64))
(pow.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 eps) #s(literal 2 binary64)) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(cbrt.f64 (pow.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x))))
(log1p.f64 (expm1.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x))))
(exp.f64 (log.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)))

simplify307.0ms (5.1%)

Algorithm
egg-herbie
Rules
810×fma-neg
589×fma-define
331×distribute-lft-in
316×distribute-rgt-in
266×associate-/l*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
03006675
16716283
222115707
372425704
Stop Event
node limit
Counts
219 → 171
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(pow.f64 eps #s(literal 2 binary64))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(pow.f64 eps #s(literal 2 binary64))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(pow.f64 eps #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(*.f64 #s(literal 2 binary64) eps)
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64))) x)
(/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64))) x)
(/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64))) x)
(*.f64 #s(literal 2 binary64) eps)
(+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 #s(literal 2 binary64) eps)
(+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(pow.f64 eps #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(pow.f64 eps #s(literal 2 binary64))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(pow.f64 eps #s(literal 2 binary64))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(+.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 eps (*.f64 #s(literal 2 binary64) x))))
(+.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 eps (*.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)))
(+.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 eps (*.f64 #s(literal 2 binary64) x))) (pow.f64 eps #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 eps (*.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64))) (+.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 eps (*.f64 #s(literal 2 binary64) x))) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 eps (*.f64 #s(literal 2 binary64) x)))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 eps (*.f64 #s(literal 2 binary64) x)))))))
(/.f64 (-.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 eps (*.f64 #s(literal 2 binary64) x))) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 eps (*.f64 #s(literal 2 binary64) x))))) (-.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (/.f64 #s(literal 2 binary64) eps)) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x (/.f64 #s(literal 2 binary64) eps)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 x eps)))))
(/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (/.f64 #s(literal 2 binary64) eps)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 2 binary64) eps))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (/.f64 #s(literal 2 binary64) eps)) #s(literal 3 binary64))) (pow.f64 eps #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x (/.f64 #s(literal 2 binary64) eps)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 x eps)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (/.f64 #s(literal 2 binary64) eps)) #s(literal 2 binary64))) (pow.f64 eps #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 2 binary64) eps))))
(pow.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 eps (sqrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 eps eps (/.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 eps (*.f64 #s(literal 2 binary64) x))))
(fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 eps (*.f64 #s(literal 2 binary64) x))))
(fma.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 eps (*.f64 #s(literal 2 binary64) x))))
(fma.f64 (cbrt.f64 (pow.f64 eps #s(literal 4 binary64))) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 eps (*.f64 #s(literal 2 binary64) x))))
(+.f64 (*.f64 eps #s(literal 2 binary64)) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(+.f64 (*.f64 eps #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) #s(literal 1 binary64)))
(+.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (*.f64 eps #s(literal 2 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 (pow.f64 eps #s(literal 2 binary64)) #s(literal 4 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 (pow.f64 eps #s(literal 2 binary64)) #s(literal 4 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))
(fma.f64 #s(literal 1 binary64) (*.f64 eps #s(literal 2 binary64)) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 eps #s(literal 2 binary64))) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(fma.f64 (sqrt.f64 (*.f64 eps #s(literal 2 binary64))) (sqrt.f64 (*.f64 eps #s(literal 2 binary64))) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(+.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(+.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 eps x) (/.f64 eps x)))
(+.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)) (*.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) x))
(+.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)) (*.f64 (/.f64 eps x) (*.f64 eps x)))
(+.f64 (*.f64 (*.f64 eps x) (/.f64 eps x)) (*.f64 eps (*.f64 #s(literal 2 binary64) x)))
(+.f64 (*.f64 (/.f64 eps x) (*.f64 eps x)) (*.f64 eps (*.f64 #s(literal 2 binary64) x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 eps x)) (*.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 #s(literal 2 binary64) (/.f64 eps x)) (*.f64 eps x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 eps x)) (*.f64 eps x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 eps x)) (*.f64 eps x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 eps x)) (*.f64 eps x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 eps x)) (*.f64 eps x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 2 binary64) (/.f64 eps x))) eps) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 eps x)) (*.f64 eps x)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 eps x)) (*.f64 eps x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(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))))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 eps x)) (*.f64 eps x))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 eps x)) (*.f64 eps x))))
(exp.f64 (log.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 eps x)) (*.f64 eps x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 eps x)) (*.f64 eps x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)))) #s(literal 1 binary64))
(pow.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 eps) #s(literal 2 binary64)) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(cbrt.f64 (pow.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x))))
(log1p.f64 (expm1.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x))))
(exp.f64 (log.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps x))) #s(literal 1 binary64))
(pow.f64 (*.f64 eps x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 eps) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps x))))
(cbrt.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 eps x)))
(log1p.f64 (expm1.f64 (*.f64 eps x)))
(exp.f64 (log.f64 (*.f64 eps x)))
(exp.f64 (*.f64 (log.f64 (*.f64 eps x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)))) #s(literal 1 binary64))
(pow.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 eps) #s(literal 2 binary64)) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(cbrt.f64 (pow.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x))))
(log1p.f64 (expm1.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x))))
(exp.f64 (log.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 (*.f64 #s(literal 2 binary64) 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 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))))
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(exp.f64 (*.f64 (log.f64 (*.f64 eps x)) #s(literal 1 binary64)))
(*.f64 eps x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 #s(literal 2 binary64) eps))))
(+.f64 (*.f64 x (*.f64 #s(literal 2 binary64) eps)) #s(literal 0 binary64))
(pow.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) eps) x)
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(pow.f64 (cbrt.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) eps) x)
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(pow.f64 (pow.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) eps) x)
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(pow.f64 (sqrt.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) eps) x)
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 4 binary64)))
(sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 eps x) #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) eps)) #s(literal 2 binary64)))
(fabs.f64 (*.f64 x (*.f64 #s(literal 2 binary64) eps)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 eps) #s(literal 2 binary64)) x))
(*.f64 (*.f64 #s(literal 2 binary64) eps) x)
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(*.f64 (*.f64 #s(literal 2 binary64) eps) x)
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(cbrt.f64 (pow.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) eps) x)
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64))))
(*.f64 (*.f64 #s(literal 2 binary64) eps) x)
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (*.f64 #s(literal 2 binary64) eps) x)
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(expm1.f64 (log1p.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x))))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 #s(literal 2 binary64) eps))))
(+.f64 (*.f64 x (*.f64 #s(literal 2 binary64) eps)) #s(literal 0 binary64))
(log1p.f64 (expm1.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x))))
(*.f64 (*.f64 #s(literal 2 binary64) eps) x)
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(exp.f64 (log.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x))))
(*.f64 (*.f64 #s(literal 2 binary64) eps) x)
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) eps) x)
(*.f64 x (*.f64 #s(literal 2 binary64) eps))

eval34.0ms (0.6%)

Compiler

Compiled 2532 to 1605 computations (36.6% saved)

prune32.0ms (0.5%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1701171
Fresh000
Picked134
Done011
Total1715176
Accuracy
100.0%
Counts
176 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(*.f64 x (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x)))
99.8%
(*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
60.8%
(*.f64 x (*.f64 eps #s(literal 2 binary64)))
100.0%
(*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))
60.7%
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
Compiler

Compiled 46 to 30 computations (34.8% saved)

localize223.0ms (3.7%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 eps x)
cost-diff0
(fma.f64 #s(literal 2 binary64) x eps)
cost-diff256
(*.f64 x (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x)))
cost-diff6400
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x))
accuracy100.0%
(fma.f64 #s(literal 2 binary64) x eps)
accuracy100.0%
(/.f64 eps x)
accuracy99.9%
(*.f64 x (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x)))
accuracy99.7%
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x))
Rules
969×distribute-rgt-out
774×associate-/r/
632×distribute-lft-in
626×distribute-rgt-in
607×fma-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
013112
121112
250112
3134100
424889
538089
669689
7219889
8335789
9415389
10616589
11634489
12655989
13688089
14703389
15722489
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 x (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x)))
x
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x))
(fma.f64 #s(literal 2 binary64) x eps)
#s(literal 2 binary64)
eps
(/.f64 eps x)
Outputs
(*.f64 x (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x)))
(*.f64 x (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) x))
(*.f64 x (*.f64 (fma.f64 x #s(literal 2 binary64) eps) (/.f64 eps x)))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) (*.f64 eps #s(literal 1 binary64)))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
x
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x))
(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) x)
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) (/.f64 eps x))
(*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 x #s(literal 2 binary64) eps)
#s(literal 2 binary64)
eps
(/.f64 eps x)
Results
31.0ms256×0valid
Compiler

Compiled 31 to 14 computations (54.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-fma: 8.0ms (49.2% of total)
ival-mult: 5.0ms (30.8% of total)
ival-div: 2.0ms (12.3% of total)
const: 1.0ms (6.2% of total)
backward-pass: 0.0ms (0% of total)

series18.0ms (0.3%)

Counts
4 → 72
Calls
Call 1
Inputs
#<alt (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x))>
#<alt (*.f64 x (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x)))>
#<alt (/.f64 eps x)>
#<alt (fma.f64 #s(literal 2 binary64) x eps)>
Outputs
#<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 (*.f64 #s(literal 2 binary64) eps)>
#<alt (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))>
#<alt (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))>
#<alt (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))>
#<alt (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (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 (+.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) 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))))>
Calls

24 calls:

TimeVariablePointExpression
6.0ms
x
@0
(* (+ (* 2 x) eps) (/ eps x))
3.0ms
x
@-inf
(* (+ (* 2 x) eps) (/ eps x))
3.0ms
eps
@0
(* (+ (* 2 x) eps) (/ eps x))
0.0ms
x
@inf
(* (+ (* 2 x) eps) (/ eps x))
0.0ms
eps
@-inf
(* (+ (* 2 x) eps) (/ eps x))

rewrite124.0ms (2.1%)

Algorithm
batch-egg-rewrite
Rules
722×unpow-prod-down
696×log1p-expm1-u
696×expm1-log1p-u
406×log-prod
190×pow-unpow
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
013103
1138103
21845103
Stop Event
node limit
Counts
4 → 191
Calls
Call 1
Inputs
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x))
(*.f64 x (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x)))
(/.f64 eps x)
(fma.f64 #s(literal 2 binary64) x eps)
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x)))
(+.f64 (*.f64 (/.f64 eps x) (*.f64 #s(literal 2 binary64) x)) (*.f64 (/.f64 eps x) eps))
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 eps x)) (*.f64 eps (/.f64 eps x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 eps x)) (fma.f64 #s(literal 2 binary64) x eps))) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 eps x)) (fma.f64 #s(literal 2 binary64) x eps))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 eps x)) (fma.f64 #s(literal 2 binary64) x eps)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 eps x)) (fma.f64 #s(literal 2 binary64) x eps)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 eps x)) (fma.f64 #s(literal 2 binary64) x eps)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x)))) #s(literal 1 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 x eps))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))))
(/.f64 (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) x)
(/.f64 (neg.f64 (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))) (neg.f64 x))
(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (neg.f64 eps)) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 eps) (fma.f64 #s(literal 2 binary64) x eps)) (neg.f64 x))
(/.f64 (/.f64 (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 1 binary64)) x)
(/.f64 (/.f64 (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(/.f64 (/.f64 (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x))) #s(literal 2 binary64))
(pow.f64 (/.f64 x (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 eps x)) (fma.f64 #s(literal 2 binary64) x eps)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x)))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x))))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x))))
(exp.f64 (log.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x)))) #s(literal 2 binary64)))
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(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) x) eps))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) x)) (pow.f64 eps #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) x) eps))
(pow.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) x eps)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 2 binary64) x eps))))
(log.f64 (*.f64 (exp.f64 eps) (exp.f64 (*.f64 #s(literal 2 binary64) x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 eps)) (exp.f64 (*.f64 #s(literal 2 binary64) x))))
(log.f64 (*.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (+.f64 #s(literal 1 binary64) (expm1.f64 eps))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 2 binary64) x eps)))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 2 binary64) x eps)))
(exp.f64 (log.f64 (fma.f64 #s(literal 2 binary64) x eps)))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 2 binary64)))

simplify119.0ms (2%)

Algorithm
egg-herbie
Rules
507×unswap-sqr
346×exp-prod
338×distribute-lft-neg-in
305×distribute-rgt-neg-in
305×prod-exp
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05247273
110586812
234246713
Stop Event
node limit
Counts
263 → 280
Calls
Call 1
Inputs
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64))) x)
(/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64))) x)
(/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64))) x)
(*.f64 #s(literal 2 binary64) eps)
(+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 #s(literal 2 binary64) eps)
(+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 #s(literal 2 binary64) eps)
(*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
(*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
(*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(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))))
eps
(+.f64 eps (*.f64 #s(literal 2 binary64) x))
(+.f64 eps (*.f64 #s(literal 2 binary64) x))
(+.f64 eps (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
(*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
(*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) x)
(+.f64 eps (*.f64 #s(literal 2 binary64) x))
(+.f64 eps (*.f64 #s(literal 2 binary64) x))
(+.f64 eps (*.f64 #s(literal 2 binary64) x))
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
eps
(*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x eps)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x eps)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x eps)) #s(literal 1 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x)))
(+.f64 (*.f64 (/.f64 eps x) (*.f64 #s(literal 2 binary64) x)) (*.f64 (/.f64 eps x) eps))
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 eps x)) (*.f64 eps (/.f64 eps x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 eps x)) (fma.f64 #s(literal 2 binary64) x eps))) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 eps x)) (fma.f64 #s(literal 2 binary64) x eps))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 eps x)) (fma.f64 #s(literal 2 binary64) x eps)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 eps x)) (fma.f64 #s(literal 2 binary64) x eps)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 eps x)) (fma.f64 #s(literal 2 binary64) x eps)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x)))) #s(literal 1 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 x eps))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))))
(/.f64 (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) x)
(/.f64 (neg.f64 (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))) (neg.f64 x))
(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (neg.f64 eps)) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 eps) (fma.f64 #s(literal 2 binary64) x eps)) (neg.f64 x))
(/.f64 (/.f64 (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 1 binary64)) x)
(/.f64 (/.f64 (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(/.f64 (/.f64 (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x))) #s(literal 2 binary64))
(pow.f64 (/.f64 x (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 eps x)) (fma.f64 #s(literal 2 binary64) x eps)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x)))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x))))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x))))
(exp.f64 (log.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x)))) #s(literal 2 binary64)))
(fma.f64 (/.f64 eps x) (*.f64 #s(literal 2 binary64) x) (*.f64 (/.f64 eps x) eps))
(fma.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 eps x) (*.f64 eps (/.f64 eps x)))
(+.f64 #s(literal 0 binary64) (*.f64 x (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) x eps)) (*.f64 (/.f64 eps x) x))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) x eps)) (*.f64 (/.f64 eps x) x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) x eps)) (*.f64 (/.f64 eps x) x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) x eps)) (*.f64 (/.f64 eps x) x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) x eps)) (*.f64 (/.f64 eps x) x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x))))) #s(literal 1 binary64))
(/.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) x eps)) (/.f64 x eps))
(/.f64 (*.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) x eps)) eps) x)
(/.f64 (*.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 1 binary64)) (/.f64 x eps))
(/.f64 (*.f64 x (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))) x)
(/.f64 (*.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) x eps)) (neg.f64 eps)) (neg.f64 x))
(/.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) x) x)
(pow.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) x eps)) (*.f64 (/.f64 eps x) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x))))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x)))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x)))))
(exp.f64 (log.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x))))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 eps x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 eps x))) (cbrt.f64 (exp.f64 (/.f64 eps x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 eps x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 eps x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 eps x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 eps x))) #s(literal 1 binary64))
(*.f64 eps (/.f64 #s(literal 1 binary64) x))
(*.f64 eps (pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(*.f64 eps (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(*.f64 (/.f64 eps x) #s(literal 1 binary64))
(*.f64 (/.f64 eps x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 eps x))
(*.f64 (cbrt.f64 (/.f64 eps x)) (pow.f64 (cbrt.f64 (/.f64 eps x)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (/.f64 eps x)) (pow.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 eps x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 eps x)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 eps x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (/.f64 (cbrt.f64 eps) x))
(*.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (*.f64 (cbrt.f64 eps) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (pow.f64 (/.f64 (cbrt.f64 eps) x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (pow.f64 (*.f64 (cbrt.f64 eps) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (/.f64 eps x)) (sqrt.f64 (/.f64 eps x)))
(*.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 eps) x))
(*.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 eps) (pow.f64 (/.f64 (sqrt.f64 eps) x) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 eps) (pow.f64 (*.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(*.f64 (neg.f64 eps) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (neg.f64 eps) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) eps)
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 eps (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (pow.f64 (/.f64 (cbrt.f64 x) eps) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 eps (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 (/.f64 (sqrt.f64 x) eps) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 eps) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 eps x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 eps) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 eps) #s(literal 1 binary64)) (/.f64 (sqrt.f64 eps) x))
(*.f64 (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 eps) (cbrt.f64 x)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (/.f64 eps x))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 eps (cbrt.f64 x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (pow.f64 (/.f64 eps (sqrt.f64 x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (cbrt.f64 eps) x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (cbrt.f64 (/.f64 eps x)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (sqrt.f64 x)) #s(literal 1 binary64)) (pow.f64 (/.f64 (cbrt.f64 eps) (sqrt.f64 x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 eps) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (sqrt.f64 eps) x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 (sqrt.f64 eps) (cbrt.f64 x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 eps x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 eps x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 eps x))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 eps x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 eps x))) (cbrt.f64 (cbrt.f64 (/.f64 eps x)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 eps x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 eps x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 eps x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 eps x)))
(*.f64 (pow.f64 (*.f64 (/.f64 eps x) (sqrt.f64 (/.f64 eps x))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (/.f64 eps x) (sqrt.f64 (/.f64 eps x))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 eps x) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 eps x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) eps) #s(literal 1/3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (/.f64 eps x)) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (/.f64 eps x)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) (sqrt.f64 (/.f64 eps x))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (/.f64 eps x)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 eps x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 eps x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 eps x))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 eps x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (/.f64 x eps)) (cbrt.f64 (/.f64 x eps))) #s(literal -1 binary64)) (cbrt.f64 (/.f64 eps x)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 x (cbrt.f64 eps)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 eps)) #s(literal -1 binary64)) (pow.f64 (/.f64 x (sqrt.f64 eps)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 x) eps) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 eps)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 eps)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 eps)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) eps) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 eps)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 eps)) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 eps)) #s(literal -1 binary64)))
(pow.f64 (/.f64 eps x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 eps x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 eps x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 eps x)) #s(literal 2 binary64))
(pow.f64 (/.f64 x eps) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 x eps) #s(literal 1 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 eps (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 eps) x))
(sqrt.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 eps x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 eps x))))
(cbrt.f64 (pow.f64 (/.f64 eps x) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 eps x)))
(log1p.f64 (expm1.f64 (/.f64 eps x)))
(exp.f64 (log.f64 (/.f64 eps x)))
(exp.f64 (*.f64 (log.f64 (/.f64 eps x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 eps x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (/.f64 eps x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 eps x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 x eps)) #s(literal -1 binary64)))
(+.f64 eps (*.f64 #s(literal 2 binary64) x))
(+.f64 (*.f64 #s(literal 2 binary64) x) eps)
(+.f64 #s(literal 0 binary64) (fma.f64 #s(literal 2 binary64) x eps))
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) eps)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) x eps))) (cbrt.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) x eps))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) x eps)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) x eps)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) x eps)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) x eps)) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) x eps)) (pow.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 2 binary64) x eps)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x eps)) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x eps)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) x eps))) (cbrt.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) x eps)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (fma.f64 #s(literal 2 binary64) x eps)))
(*.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64)) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) x) eps))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) x)) (pow.f64 eps #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) x) eps))
(pow.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) x eps)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 2 binary64) x eps))))
(log.f64 (*.f64 (exp.f64 eps) (exp.f64 (*.f64 #s(literal 2 binary64) x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 eps)) (exp.f64 (*.f64 #s(literal 2 binary64) x))))
(log.f64 (*.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (+.f64 #s(literal 1 binary64) (expm1.f64 eps))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 2 binary64) x eps)))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 2 binary64) x eps)))
(exp.f64 (log.f64 (fma.f64 #s(literal 2 binary64) x eps)))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 2 binary64)))
Outputs
(/.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 x) (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
(/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64))) x)
(*.f64 (/.f64 eps x) (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
(/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64))) x)
(*.f64 (/.f64 eps x) (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
(*.f64 #s(literal 2 binary64) eps)
(*.f64 eps #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 (/.f64 eps x) (fma.f64 #s(literal 2 binary64) x eps))
(*.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 (/.f64 eps x) (fma.f64 #s(literal 2 binary64) x eps))
(*.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 (/.f64 eps x) (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
(*.f64 #s(literal 2 binary64) eps)
(*.f64 eps #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 (/.f64 eps x) (fma.f64 #s(literal 2 binary64) x eps))
(*.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 (/.f64 eps x) (fma.f64 #s(literal 2 binary64) x eps))
(*.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 (/.f64 eps x) (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
(*.f64 #s(literal 2 binary64) eps)
(*.f64 eps #s(literal 2 binary64))
(*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
(*.f64 (/.f64 eps x) (fma.f64 #s(literal 2 binary64) x eps))
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(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 3 binary64)))
(fma.f64 #s(literal 2 binary64) x eps)
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 2 binary64) x eps)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) x eps)

eval56.0ms (0.9%)

Compiler

Compiled 4729 to 2520 computations (46.7% saved)

prune57.0ms (0.9%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New2791280
Fresh000
Picked101
Done044
Total2805285
Accuracy
100.0%
Counts
285 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(*.f64 x (*.f64 (+.f64 (*.f64 #s(literal 2 binary64) x) eps) (/.f64 eps x)))
99.8%
(*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
60.8%
(*.f64 x (*.f64 eps #s(literal 2 binary64)))
100.0%
(*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))
60.7%
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
Compiler

Compiled 47 to 31 computations (34% saved)

localize222.0ms (3.7%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff-6016
(*.f64 x (*.f64 (+.f64 (*.f64 #s(literal 2 binary64) x) eps) (/.f64 eps x)))
cost-diff0
(/.f64 eps x)
cost-diff0
(*.f64 #s(literal 2 binary64) x)
cost-diff128
(*.f64 (+.f64 (*.f64 #s(literal 2 binary64) x) eps) (/.f64 eps x))
accuracy100.0%
(+.f64 (*.f64 #s(literal 2 binary64) x) eps)
accuracy100.0%
(*.f64 #s(literal 2 binary64) x)
accuracy99.9%
(*.f64 x (*.f64 (+.f64 (*.f64 #s(literal 2 binary64) x) eps) (/.f64 eps x)))
accuracy99.7%
(*.f64 (+.f64 (*.f64 #s(literal 2 binary64) x) eps) (/.f64 eps x))
Rules
969×distribute-rgt-out
774×associate-/r/
634×distribute-lft-in
628×distribute-rgt-in
608×fma-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
013122
123122
255122
3152110
426599
539199
671299
7223199
8338199
9417799
10618999
11636899
12658399
13690499
14705799
15725199
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 x (*.f64 (+.f64 (*.f64 #s(literal 2 binary64) x) eps) (/.f64 eps x)))
x
(*.f64 (+.f64 (*.f64 #s(literal 2 binary64) x) eps) (/.f64 eps x))
(+.f64 (*.f64 #s(literal 2 binary64) x) eps)
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
eps
(/.f64 eps x)
Outputs
(*.f64 x (*.f64 (+.f64 (*.f64 #s(literal 2 binary64) x) eps) (/.f64 eps x)))
(*.f64 x (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) x))
(*.f64 x (*.f64 (fma.f64 x #s(literal 2 binary64) eps) (/.f64 eps x)))
(*.f64 eps (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1 binary64)))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
x
(*.f64 (+.f64 (*.f64 #s(literal 2 binary64) x) eps) (/.f64 eps x))
(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) x)
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) (/.f64 eps x))
(*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
(+.f64 (*.f64 #s(literal 2 binary64) x) eps)
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 x #s(literal 2 binary64) eps)
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
eps
(/.f64 eps x)
Results
36.0ms256×0valid
Compiler

Compiled 37 to 19 computations (48.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-mult: 15.0ms (69.7% of total)
ival-add: 4.0ms (18.6% of total)
ival-div: 2.0ms (9.3% of total)
const: 1.0ms (4.6% of total)
backward-pass: 0.0ms (0% of total)

series7.0ms (0.1%)

Counts
4 → 72
Calls
Call 1
Inputs
#<alt (*.f64 (+.f64 (*.f64 #s(literal 2 binary64) x) eps) (/.f64 eps x))>
#<alt (*.f64 x (*.f64 (+.f64 (*.f64 #s(literal 2 binary64) x) eps) (/.f64 eps x)))>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) x) eps)>
Outputs
#<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 (*.f64 #s(literal 2 binary64) eps)>
#<alt (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))>
#<alt (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))>
#<alt (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))>
#<alt (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (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 (+.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) 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))))>
Calls

21 calls:

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

rewrite112.0ms (1.9%)

Algorithm
batch-egg-rewrite
Rules
932×log1p-expm1-u
932×expm1-log1p-u
789×prod-diff
233×fma-define
150×log1p-undefine
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
013100
1169100
22484100
Stop Event
node limit
Counts
4 → 127
Calls
Call 1
Inputs
(*.f64 (+.f64 (*.f64 #s(literal 2 binary64) x) eps) (/.f64 eps x))
(*.f64 x (*.f64 (+.f64 (*.f64 #s(literal 2 binary64) x) eps) (/.f64 eps x)))
(*.f64 #s(literal 2 binary64) x)
(+.f64 (*.f64 #s(literal 2 binary64) x) eps)
Outputs
(+.f64 (*.f64 (/.f64 eps x) (*.f64 #s(literal 2 binary64) x)) (*.f64 (/.f64 eps x) eps))
(+.f64 (*.f64 (/.f64 eps x) eps) (*.f64 (/.f64 eps x) (*.f64 #s(literal 2 binary64) x)))
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 eps x)) (*.f64 eps (/.f64 eps x)))
(+.f64 (*.f64 eps (/.f64 eps x)) (*.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 eps x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x)))) #s(literal 1 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 x eps))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64))) (*.f64 (/.f64 x eps) (fma.f64 eps (-.f64 eps (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 eps #s(literal 2 binary64))) (*.f64 (/.f64 x eps) (-.f64 (*.f64 #s(literal 2 binary64) x) eps)))
(/.f64 (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) x)
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64))) eps) (*.f64 (fma.f64 eps (-.f64 eps (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) x))
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 eps (-.f64 eps (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 x eps)))
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64))) (neg.f64 eps)) (*.f64 (fma.f64 eps (-.f64 eps (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (neg.f64 x)))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 eps #s(literal 2 binary64))) eps) (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) eps) x))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) eps) (/.f64 x eps)))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 eps #s(literal 2 binary64))) (neg.f64 eps)) (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) eps) (neg.f64 x)))
(/.f64 (*.f64 eps (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64)))) (*.f64 x (fma.f64 eps (-.f64 eps (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))))
(/.f64 (*.f64 eps (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 x (-.f64 (*.f64 #s(literal 2 binary64) x) eps)))
(/.f64 (*.f64 (neg.f64 eps) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64)))) (*.f64 (neg.f64 x) (fma.f64 eps (-.f64 eps (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))))
(/.f64 (*.f64 (neg.f64 eps) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 (neg.f64 x) (-.f64 (*.f64 #s(literal 2 binary64) x) eps)))
(/.f64 (neg.f64 (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))) (neg.f64 x))
(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (neg.f64 eps)) (neg.f64 x))
(/.f64 (*.f64 (/.f64 eps x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 eps (-.f64 eps (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (*.f64 (/.f64 eps x) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 eps #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 2 binary64) x) eps))
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64))) (/.f64 eps x)) (fma.f64 eps (-.f64 eps (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 eps #s(literal 2 binary64))) (/.f64 eps x)) (-.f64 (*.f64 #s(literal 2 binary64) x) eps))
(/.f64 (*.f64 (neg.f64 eps) (fma.f64 #s(literal 2 binary64) x eps)) (neg.f64 x))
(/.f64 (/.f64 (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 1 binary64)) x)
(/.f64 (/.f64 (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(/.f64 (/.f64 (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 eps x)) (fma.f64 #s(literal 2 binary64) x eps)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x)))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 3 binary64)) (pow.f64 (/.f64 eps x) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 eps x) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x))))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x))))
(exp.f64 (log.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x))) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 eps x) (*.f64 eps (/.f64 eps x)))
(fma.f64 eps (/.f64 eps x) (*.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 eps x)))
(fma.f64 (/.f64 eps x) (*.f64 #s(literal 2 binary64) x) (*.f64 (/.f64 eps x) eps))
(fma.f64 (/.f64 eps x) eps (*.f64 (/.f64 eps x) (*.f64 #s(literal 2 binary64) x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x))))) #s(literal 1 binary64))
(/.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) x eps)) (/.f64 x eps))
(/.f64 (*.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) x eps)) eps) x)
(/.f64 (*.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 1 binary64)) (/.f64 x eps))
(/.f64 (*.f64 x (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))) x)
(/.f64 (*.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) x eps)) (neg.f64 eps)) (neg.f64 x))
(/.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) x) x)
(pow.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x))))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x)))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x)))))
(exp.f64 (log.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) x))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) x)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) x) eps)) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) x) eps)))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) x eps)) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 2 binary64) x eps)))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x eps)) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x eps)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 eps (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))))
(*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 eps #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) eps)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps (-.f64 eps (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) eps) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 eps #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps (-.f64 eps (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 x eps)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 eps #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) x) eps))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64)))) (neg.f64 (fma.f64 eps (-.f64 eps (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 eps #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) eps)))
(/.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 eps (*.f64 #s(literal 2 binary64) x)))
(pow.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) x eps)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 2 binary64) x eps))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 2 binary64) x eps)))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 2 binary64) x eps)))
(exp.f64 (log.f64 (fma.f64 #s(literal 2 binary64) x eps)))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 x #s(literal 2 binary64) eps)
(fma.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64) eps)
(fma.f64 eps #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x) eps)
(fma.f64 #s(literal 1 binary64) eps (*.f64 #s(literal 2 binary64) x))
(fma.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) eps)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) eps)
(fma.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x))
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 eps) (*.f64 #s(literal 2 binary64) x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 2 binary64)) eps)
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) eps)
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (*.f64 #s(literal 2 binary64) x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) eps)
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) eps)
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x) eps)

simplify187.0ms (3.1%)

Algorithm
egg-herbie
Rules
685×distribute-rgt-in
683×distribute-lft-in
584×fma-define
247×distribute-lft-neg-in
222×distribute-rgt-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03176240
17316150
225545784
Stop Event
node limit
Counts
199 → 175
Calls
Call 1
Inputs
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64))) x)
(/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64))) x)
(/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64))) x)
(*.f64 #s(literal 2 binary64) eps)
(+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 #s(literal 2 binary64) eps)
(+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 #s(literal 2 binary64) eps)
(*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
(*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
(*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(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))))
eps
(+.f64 eps (*.f64 #s(literal 2 binary64) x))
(+.f64 eps (*.f64 #s(literal 2 binary64) x))
(+.f64 eps (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
(*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
(*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) x)
(+.f64 eps (*.f64 #s(literal 2 binary64) x))
(+.f64 eps (*.f64 #s(literal 2 binary64) x))
(+.f64 eps (*.f64 #s(literal 2 binary64) x))
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
eps
(*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x eps)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x eps)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x eps)) #s(literal 1 binary64))))
(+.f64 (*.f64 (/.f64 eps x) (*.f64 #s(literal 2 binary64) x)) (*.f64 (/.f64 eps x) eps))
(+.f64 (*.f64 (/.f64 eps x) eps) (*.f64 (/.f64 eps x) (*.f64 #s(literal 2 binary64) x)))
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 eps x)) (*.f64 eps (/.f64 eps x)))
(+.f64 (*.f64 eps (/.f64 eps x)) (*.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 eps x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x)))) #s(literal 1 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 x eps))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64))) (*.f64 (/.f64 x eps) (fma.f64 eps (-.f64 eps (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 eps #s(literal 2 binary64))) (*.f64 (/.f64 x eps) (-.f64 (*.f64 #s(literal 2 binary64) x) eps)))
(/.f64 (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) x)
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64))) eps) (*.f64 (fma.f64 eps (-.f64 eps (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) x))
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 eps (-.f64 eps (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 x eps)))
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64))) (neg.f64 eps)) (*.f64 (fma.f64 eps (-.f64 eps (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (neg.f64 x)))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 eps #s(literal 2 binary64))) eps) (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) eps) x))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) eps) (/.f64 x eps)))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 eps #s(literal 2 binary64))) (neg.f64 eps)) (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) eps) (neg.f64 x)))
(/.f64 (*.f64 eps (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64)))) (*.f64 x (fma.f64 eps (-.f64 eps (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))))
(/.f64 (*.f64 eps (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 x (-.f64 (*.f64 #s(literal 2 binary64) x) eps)))
(/.f64 (*.f64 (neg.f64 eps) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64)))) (*.f64 (neg.f64 x) (fma.f64 eps (-.f64 eps (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))))
(/.f64 (*.f64 (neg.f64 eps) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 (neg.f64 x) (-.f64 (*.f64 #s(literal 2 binary64) x) eps)))
(/.f64 (neg.f64 (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))) (neg.f64 x))
(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (neg.f64 eps)) (neg.f64 x))
(/.f64 (*.f64 (/.f64 eps x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 eps (-.f64 eps (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (*.f64 (/.f64 eps x) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 eps #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 2 binary64) x) eps))
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64))) (/.f64 eps x)) (fma.f64 eps (-.f64 eps (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 eps #s(literal 2 binary64))) (/.f64 eps x)) (-.f64 (*.f64 #s(literal 2 binary64) x) eps))
(/.f64 (*.f64 (neg.f64 eps) (fma.f64 #s(literal 2 binary64) x eps)) (neg.f64 x))
(/.f64 (/.f64 (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 1 binary64)) x)
(/.f64 (/.f64 (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(/.f64 (/.f64 (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 eps x)) (fma.f64 #s(literal 2 binary64) x eps)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x)))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 3 binary64)) (pow.f64 (/.f64 eps x) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 eps x) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x))))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x))))
(exp.f64 (log.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x))) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 eps x) (*.f64 eps (/.f64 eps x)))
(fma.f64 eps (/.f64 eps x) (*.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 eps x)))
(fma.f64 (/.f64 eps x) (*.f64 #s(literal 2 binary64) x) (*.f64 (/.f64 eps x) eps))
(fma.f64 (/.f64 eps x) eps (*.f64 (/.f64 eps x) (*.f64 #s(literal 2 binary64) x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x))))) #s(literal 1 binary64))
(/.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) x eps)) (/.f64 x eps))
(/.f64 (*.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) x eps)) eps) x)
(/.f64 (*.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 1 binary64)) (/.f64 x eps))
(/.f64 (*.f64 x (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))) x)
(/.f64 (*.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) x eps)) (neg.f64 eps)) (neg.f64 x))
(/.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) x) x)
(pow.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x))))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x)))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x)))))
(exp.f64 (log.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) x))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) x)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) x) eps)) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) x) eps)))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) x eps)) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 2 binary64) x eps)))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x eps)) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x eps)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 eps (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))))
(*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 eps #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) eps)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps (-.f64 eps (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) eps) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 eps #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps (-.f64 eps (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 x eps)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 eps #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) x) eps))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64)))) (neg.f64 (fma.f64 eps (-.f64 eps (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 eps #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) eps)))
(/.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 eps (*.f64 #s(literal 2 binary64) x)))
(pow.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) x eps)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 2 binary64) x eps))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 2 binary64) x eps)))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 2 binary64) x eps)))
(exp.f64 (log.f64 (fma.f64 #s(literal 2 binary64) x eps)))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 x #s(literal 2 binary64) eps)
(fma.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64) eps)
(fma.f64 eps #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x) eps)
(fma.f64 #s(literal 1 binary64) eps (*.f64 #s(literal 2 binary64) x))
(fma.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) eps)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) eps)
(fma.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x))
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 eps) (*.f64 #s(literal 2 binary64) x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 2 binary64)) eps)
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) eps)
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (*.f64 #s(literal 2 binary64) x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) eps)
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) eps)
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x) eps)
Outputs
(/.f64 (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 x) (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
(/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64))) x)
(*.f64 (/.f64 eps x) (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
(/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64))) x)
(*.f64 (/.f64 eps x) (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
(*.f64 #s(literal 2 binary64) eps)
(*.f64 eps #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 (/.f64 eps x) (fma.f64 #s(literal 2 binary64) x eps))
(*.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 (/.f64 eps x) (fma.f64 #s(literal 2 binary64) x eps))
(*.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 (/.f64 eps x) (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
(*.f64 #s(literal 2 binary64) eps)
(*.f64 eps #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 (/.f64 eps x) (fma.f64 #s(literal 2 binary64) x eps))
(*.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 (/.f64 eps x) (fma.f64 #s(literal 2 binary64) x eps))
(*.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 (/.f64 eps x) (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
(*.f64 #s(literal 2 binary64) eps)
(*.f64 eps #s(literal 2 binary64))
(*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
(*.f64 (/.f64 eps x) (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
(*.f64 (/.f64 eps x) (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
(*.f64 (/.f64 eps x) (fma.f64 #s(literal 2 binary64) x 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 (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)))
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(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) x) eps)) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) x) eps)))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 eps #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) x) eps))
(/.f64 (fma.f64 eps eps (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -4 binary64))) (+.f64 eps (*.f64 x #s(literal -2 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -4 binary64) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 x #s(literal -2 binary64) eps))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) x eps)
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 #s(literal 2 binary64) x eps)
(*.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) x eps)) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) x eps)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 2 binary64) x eps)))
(fma.f64 #s(literal 2 binary64) x eps)
(*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x eps)) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x eps)))
(fma.f64 #s(literal 2 binary64) x eps)
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 eps (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps (+.f64 eps (*.f64 #s(literal -2 binary64) x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps (+.f64 eps (*.f64 x #s(literal -2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps (fma.f64 x #s(literal -2 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))))
(*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 eps #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) eps)))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 eps #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) x) eps))
(/.f64 (fma.f64 eps eps (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -4 binary64))) (+.f64 eps (*.f64 x #s(literal -2 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -4 binary64) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 x #s(literal -2 binary64) eps))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps (-.f64 eps (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps (+.f64 eps (*.f64 #s(literal -2 binary64) x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps (+.f64 eps (*.f64 x #s(literal -2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps (fma.f64 x #s(literal -2 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) eps) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 eps #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 eps #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) x) eps))
(/.f64 (fma.f64 eps eps (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -4 binary64))) (+.f64 eps (*.f64 x #s(literal -2 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -4 binary64) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 x #s(literal -2 binary64) eps))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps (-.f64 eps (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps (+.f64 eps (*.f64 #s(literal -2 binary64) x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps (+.f64 eps (*.f64 x #s(literal -2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps (fma.f64 x #s(literal -2 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 x eps)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 eps x)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps eps (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 eps (*.f64 x #s(literal -2 binary64))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps eps (fma.f64 eps (*.f64 x #s(literal -2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 eps #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) x) eps))
(/.f64 (fma.f64 eps eps (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -4 binary64))) (+.f64 eps (*.f64 x #s(literal -2 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -4 binary64) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 x #s(literal -2 binary64) eps))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64)))) (neg.f64 (fma.f64 eps (-.f64 eps (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps (+.f64 eps (*.f64 #s(literal -2 binary64) x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps (+.f64 eps (*.f64 x #s(literal -2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps (fma.f64 x #s(literal -2 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 eps #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) eps)))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 eps #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) x) eps))
(/.f64 (fma.f64 eps eps (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -4 binary64))) (+.f64 eps (*.f64 x #s(literal -2 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -4 binary64) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 x #s(literal -2 binary64) eps))
(/.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 eps (*.f64 #s(literal 2 binary64) x)))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 eps #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) x) eps))
(/.f64 (fma.f64 eps eps (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -4 binary64))) (+.f64 eps (*.f64 x #s(literal -2 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -4 binary64) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 x #s(literal -2 binary64) eps))
(pow.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) x eps)
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 3 binary64))
(fma.f64 #s(literal 2 binary64) x eps)
(pow.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 #s(literal 2 binary64) x eps)
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) x eps)
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) x eps)
(log.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) x eps)))
(fma.f64 #s(literal 2 binary64) x eps)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 2 binary64) x eps))))
(fma.f64 #s(literal 2 binary64) x eps)
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 3 binary64)))
(fma.f64 #s(literal 2 binary64) x eps)
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 2 binary64) x eps)))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 2 binary64) x eps)))
(fma.f64 #s(literal 2 binary64) x eps)
(exp.f64 (log.f64 (fma.f64 #s(literal 2 binary64) x eps)))
(fma.f64 #s(literal 2 binary64) x eps)
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 x #s(literal 2 binary64) eps)
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64) eps)
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 eps #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x))
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x) eps)
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 #s(literal 1 binary64) eps (*.f64 #s(literal 2 binary64) x))
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) eps)
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) eps)
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x))
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 eps) (*.f64 #s(literal 2 binary64) x))
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 2 binary64)) eps)
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) eps)
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (*.f64 #s(literal 2 binary64) x))
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) eps)
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) eps)
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x) eps)
(fma.f64 #s(literal 2 binary64) x eps)

eval67.0ms (1.1%)

Compiler

Compiled 4951 to 2692 computations (45.6% saved)

prune108.0ms (1.8%)

Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New2890289
Fresh000
Picked011
Done044
Total2895294
Accuracy
100.0%
Counts
294 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(*.f64 x (*.f64 (+.f64 (*.f64 #s(literal 2 binary64) x) eps) (/.f64 eps x)))
99.8%
(*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
60.8%
(*.f64 x (*.f64 eps #s(literal 2 binary64)))
100.0%
(*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))
60.7%
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
Compiler

Compiled 116 to 71 computations (38.8% saved)

regimes8.0ms (0.1%)

Counts
8 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 x (*.f64 eps #s(literal 2 binary64)))
(*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
(*.f64 x (*.f64 (+.f64 (*.f64 #s(literal 2 binary64) x) eps) (/.f64 eps x)))
(*.f64 x (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) eps)))
(-.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:

4.0ms
eps
3.0ms
x
1.0ms
(-.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%)

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

2 calls:

1.0ms
eps
1.0ms
x
Results
AccuracySegmentsBranch
60.8%1x
60.8%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes2.0ms (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:

1.0ms
eps
0.0ms
x
Results
AccuracySegmentsBranch
60.7%1eps
60.7%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify2.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01566
12266
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 eps #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
Outputs
(*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 eps #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))

soundness419.0ms (6.9%)

Rules
578×sub-neg
485×unsub-neg
479×fma-neg
478×distribute-lft-in
450×fma-neg
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
050411473
1118511139
2380210352
028278
157246
2174238
3663196
42246188
55182188
66776188
77401188
87630188
97744188
107777188
Stop Event
done
node limit
node limit
Compiler

Compiled 232 to 77 computations (66.8% saved)

preprocess24.0ms (0.4%)

Compiler

Compiled 60 to 40 computations (33.3% saved)

end0.0ms (0%)

Profiling

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