ENA, Section 1.4, Exercise 4b, n=5

Time bar (total: 6.3s)

analyze3.0ms (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 18 computations (30.8% saved)

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

sample2.9s (46.3%)

Results
1.3s6679×0valid
498.0ms1282×1valid
269.0ms295×2valid
Precisions
Click to see histograms. Total time spent on operations: 1.6s
ival-pow: 907.0ms (57.6% of total)
ival-add: 382.0ms (24.3% of total)
ival-<=: 149.0ms (9.5% of total)
ival-sub: 52.0ms (3.3% of total)
backward-pass: 36.0ms (2.3% of total)
ival-and: 25.0ms (1.6% of total)
const: 24.0ms (1.5% of total)
Bogosity

preprocess122.0ms (1.9%)

Algorithm
egg-herbie
Rules
187×fma-neg
124×fma-define
62×sub-neg
47×associate--r+
41×cancel-sign-sub-inv
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
028262
150254
2102246
3195246
4366246
5573246
6752246
7904246
8940246
9966246
10972246
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
(-.f64 (pow.f64 (+.f64 (neg.f64 x) eps) #s(literal 5 binary64)) (pow.f64 (neg.f64 x) #s(literal 5 binary64)))
(-.f64 (pow.f64 (+.f64 x (neg.f64 eps)) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
(neg.f64 (-.f64 (pow.f64 (+.f64 (neg.f64 x) eps) #s(literal 5 binary64)) (pow.f64 (neg.f64 x) #s(literal 5 binary64))))
(neg.f64 (-.f64 (pow.f64 (+.f64 x (neg.f64 eps)) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))
(-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 eps #s(literal 5 binary64)))
Outputs
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
(-.f64 (pow.f64 (+.f64 (neg.f64 x) eps) #s(literal 5 binary64)) (pow.f64 (neg.f64 x) #s(literal 5 binary64)))
(-.f64 (pow.f64 (+.f64 eps (neg.f64 x)) #s(literal 5 binary64)) (pow.f64 (neg.f64 x) #s(literal 5 binary64)))
(-.f64 (pow.f64 (-.f64 eps x) #s(literal 5 binary64)) (pow.f64 (neg.f64 x) #s(literal 5 binary64)))
(-.f64 (pow.f64 (+.f64 x (neg.f64 eps)) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
(-.f64 (pow.f64 (-.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
(neg.f64 (-.f64 (pow.f64 (+.f64 (neg.f64 x) eps) #s(literal 5 binary64)) (pow.f64 (neg.f64 x) #s(literal 5 binary64))))
(neg.f64 (-.f64 (pow.f64 (+.f64 eps (neg.f64 x)) #s(literal 5 binary64)) (pow.f64 (neg.f64 x) #s(literal 5 binary64))))
(neg.f64 (-.f64 (pow.f64 (-.f64 eps x) #s(literal 5 binary64)) (pow.f64 (neg.f64 x) #s(literal 5 binary64))))
(-.f64 (pow.f64 (neg.f64 x) #s(literal 5 binary64)) (pow.f64 (-.f64 eps x) #s(literal 5 binary64)))
(neg.f64 (-.f64 (pow.f64 (+.f64 x (neg.f64 eps)) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))
(neg.f64 (-.f64 (pow.f64 (-.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))
(-.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (-.f64 x eps) #s(literal 5 binary64)))
(-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 eps #s(literal 5 binary64)))
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 eps #s(literal 5 binary64)))

explain126.0ms (2%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
260-0-(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
00-0-x
00-0-(pow.f64 x #s(literal 5 binary64))
00-0-(+.f64 x eps)
00-0-#s(literal 5 binary64)
048(8.150629334912255e-261 5.379480775530115e-42)0-(pow.f64 (+.f64 x eps) #s(literal 5 binary64))
00-0-eps
Results
46.0ms424×0valid
41.0ms72×1valid
6.0ms16×2valid
Compiler

Compiled 63 to 23 computations (63.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 67.0ms
ival-pow: 56.0ms (83.2% of total)
ival-add: 4.0ms (5.9% of total)
ival-sub: 4.0ms (5.9% of total)
backward-pass: 2.0ms (3% of total)
const: 1.0ms (1.5% of total)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
91.0%
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Compiler

Compiled 11 to 7 computations (36.4% saved)

localize61.0ms (1%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 x #s(literal 5 binary64))
cost-diff0
(+.f64 x eps)
cost-diff0
(pow.f64 (+.f64 x eps) #s(literal 5 binary64))
cost-diff0
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
accuracy100.0%
(pow.f64 x #s(literal 5 binary64))
accuracy100.0%
(+.f64 x eps)
accuracy100.0%
(pow.f64 (+.f64 x eps) #s(literal 5 binary64))
accuracy91.0%
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Rules
39×fma-define
32×fma-neg
12×sub-neg
10×distribute-rgt-in
10×associate--r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01285
11685
22185
32985
43885
55585
69385
713285
818285
921785
1024385
1124585
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
(pow.f64 (+.f64 x eps) #s(literal 5 binary64))
(+.f64 x eps)
x
eps
#s(literal 5 binary64)
(pow.f64 x #s(literal 5 binary64))
Outputs
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
(pow.f64 (+.f64 x eps) #s(literal 5 binary64))
(+.f64 x eps)
x
eps
#s(literal 5 binary64)
(pow.f64 x #s(literal 5 binary64))
Results
24.0ms212×0valid
9.0ms36×1valid
3.0ms2valid
Compiler

Compiled 26 to 8 computations (69.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-pow: 16.0ms (74.6% of total)
ival-add: 2.0ms (9.3% of total)
ival-sub: 2.0ms (9.3% of total)
backward-pass: 1.0ms (4.7% of total)
const: 0.0ms (0% of total)

series58.0ms (0.9%)

Counts
4 → 72
Calls
Call 1
Inputs
#<alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))>
#<alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64))>
#<alt (+.f64 x eps)>
#<alt (pow.f64 x #s(literal 5 binary64))>
Outputs
#<alt (pow.f64 eps #s(literal 5 binary64))>
#<alt (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 4 binary64))) (pow.f64 eps #s(literal 4 binary64)))) (pow.f64 eps #s(literal 5 binary64)))>
#<alt (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 4 binary64))) (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 3 binary64))) (*.f64 eps (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64))))))) (pow.f64 eps #s(literal 4 binary64))))) (pow.f64 eps #s(literal 5 binary64)))>
#<alt (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 4 binary64))) (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 3 binary64))) (+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64))))) (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 8 binary64) (pow.f64 eps #s(literal 2 binary64)))))))) (pow.f64 eps #s(literal 4 binary64))))) (pow.f64 eps #s(literal 5 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (*.f64 #s(literal 4 binary64) eps)))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (+.f64 (*.f64 #s(literal 4 binary64) eps) (*.f64 #s(literal 8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (+.f64 (*.f64 #s(literal 4 binary64) eps) (+.f64 (*.f64 #s(literal 4 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (/.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))))))))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (+.f64 (*.f64 #s(literal 4 binary64) eps) (+.f64 (*.f64 #s(literal 4 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 4 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (+.f64 (/.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))))))))))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (*.f64 #s(literal 4 binary64) eps)))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -4 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64)))))) x)) (*.f64 #s(literal 4 binary64) eps))))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -4 binary64) (pow.f64 eps #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 3 binary64))) (*.f64 eps (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64)))))) x)))) x)) (*.f64 #s(literal 4 binary64) eps))))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -4 binary64) (pow.f64 eps #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -4 binary64) (pow.f64 eps #s(literal 4 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 4 binary64)))) x)) (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 3 binary64))) (*.f64 eps (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64))))))) x)))) x)) (*.f64 #s(literal 4 binary64) eps))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64))))))) (pow.f64 x #s(literal 4 binary64)))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 2 binary64))))) (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))))))) (pow.f64 x #s(literal 4 binary64)))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 eps (+.f64 x (*.f64 #s(literal 4 binary64) x)))))) (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))))))) (pow.f64 x #s(literal 4 binary64)))))>
#<alt (pow.f64 eps #s(literal 5 binary64))>
#<alt (*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 4 binary64) (/.f64 x eps)) (/.f64 x eps))))>
#<alt (*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 4 binary64) (/.f64 x eps)) (+.f64 (*.f64 #s(literal 8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))) (/.f64 x eps))))))>
#<alt (*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 4 binary64) (/.f64 x eps)) (+.f64 (*.f64 #s(literal 4 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))) (+.f64 (/.f64 x eps) (/.f64 (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 eps #s(literal 3 binary64))))))))))>
#<alt (pow.f64 eps #s(literal 5 binary64))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal 4 binary64) x)) eps)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))))) eps)) (*.f64 #s(literal 4 binary64) x))) eps)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))))) eps)))) eps)) (*.f64 #s(literal 4 binary64) x))) eps)) #s(literal 1 binary64))))>
#<alt (pow.f64 eps #s(literal 5 binary64))>
#<alt (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 4 binary64))) (pow.f64 eps #s(literal 4 binary64)))) (pow.f64 eps #s(literal 5 binary64)))>
#<alt (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 4 binary64))) (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 3 binary64))) (*.f64 eps (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64))))))) (pow.f64 eps #s(literal 4 binary64))))) (pow.f64 eps #s(literal 5 binary64)))>
#<alt (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 4 binary64))) (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 3 binary64))) (+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64))))) (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 8 binary64) (pow.f64 eps #s(literal 2 binary64)))))))) (pow.f64 eps #s(literal 4 binary64))))) (pow.f64 eps #s(literal 5 binary64)))>
#<alt (pow.f64 x #s(literal 5 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 4 binary64) (/.f64 eps x)) (/.f64 eps x))))>
#<alt (*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 4 binary64) (/.f64 eps x)) (+.f64 (*.f64 #s(literal 8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 eps x))))))>
#<alt (*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 4 binary64) (/.f64 eps x)) (+.f64 (*.f64 #s(literal 4 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (/.f64 eps x) (/.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64))))) (pow.f64 x #s(literal 3 binary64))))))))))>
#<alt (pow.f64 x #s(literal 5 binary64))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 eps (*.f64 #s(literal 4 binary64) eps)) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -4 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64)))))) x)) (*.f64 #s(literal 4 binary64) eps))) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -4 binary64) (pow.f64 eps #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 3 binary64))) (*.f64 eps (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64)))))) x)))) x)) (*.f64 #s(literal 4 binary64) eps))) x)) #s(literal 1 binary64))))>
#<alt (pow.f64 x #s(literal 5 binary64))>
#<alt (+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 5 binary64)))>
#<alt (+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64))))))) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 5 binary64)))>
#<alt (+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 2 binary64))))) (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))))))) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 5 binary64)))>
#<alt (pow.f64 eps #s(literal 5 binary64))>
#<alt (*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 4 binary64) (/.f64 x eps)) (/.f64 x eps))))>
#<alt (*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 4 binary64) (/.f64 x eps)) (+.f64 (*.f64 #s(literal 8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))) (/.f64 x eps))))))>
#<alt (*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 4 binary64) (/.f64 x eps)) (+.f64 (*.f64 #s(literal 4 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))) (+.f64 (/.f64 x eps) (/.f64 (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 eps #s(literal 3 binary64))))))))))>
#<alt (pow.f64 eps #s(literal 5 binary64))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal 4 binary64) x)) eps)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))))) eps)) (*.f64 #s(literal 4 binary64) x))) eps)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))))) eps)))) eps)) (*.f64 #s(literal 4 binary64) x))) eps)) #s(literal 1 binary64))))>
#<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

21 calls:

TimeVariablePointExpression
45.0ms
eps
@0
(- (pow (+ x eps) 5) (pow x 5))
1.0ms
x
@-inf
(- (pow (+ x eps) 5) (pow x 5))
1.0ms
x
@inf
(- (pow (+ x eps) 5) (pow x 5))
1.0ms
x
@0
(- (pow (+ x eps) 5) (pow x 5))
1.0ms
eps
@-inf
(- (pow (+ x eps) 5) (pow x 5))

rewrite292.0ms (4.6%)

Algorithm
batch-egg-rewrite
Rules
907×prod-diff
805×log1p-expm1-u
805×expm1-log1p-u
362×log-prod
322×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01276
115776
2220876
Stop Event
node limit
Counts
4 → 186
Calls
Call 1
Inputs
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
(pow.f64 (+.f64 x eps) #s(literal 5 binary64))
(+.f64 x eps)
(pow.f64 x #s(literal 5 binary64))
Outputs
(+.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (neg.f64 (pow.f64 x #s(literal 5 binary64))))
(+.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) #s(literal 1 binary64)))
(+.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))
(+.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x #s(literal 5 binary64)))) (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (pow.f64 x #s(literal 5 binary64))))
(+.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (+.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 5 binary64))))
(+.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))
(+.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64)))) (cbrt.f64 (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 5 binary64))))
(+.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (neg.f64 (pow.f64 (sqrt.f64 x) #s(literal 5 binary64))) (pow.f64 (sqrt.f64 x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))
(+.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (pow.f64 (+.f64 x eps) #s(literal 5 binary64)))
(+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))
(+.f64 (fma.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #s(literal 1 binary64) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 5 binary64))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64))) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 5 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 5 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 5 binary64))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64))) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 5 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 5 binary64)))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) (cbrt.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64))) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 5 binary64))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64))) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 5 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 5 binary64)))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64))) (cbrt.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 5 binary64))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64))) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 5 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 5 binary64)))))
(+.f64 (fma.f64 (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64)) (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64)) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 5 binary64))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64))) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 5 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 5 binary64)))))
(+.f64 (fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x eps)) #s(literal 2 binary64)) #s(literal 5 binary64)) (pow.f64 (cbrt.f64 (+.f64 x eps)) #s(literal 5 binary64)) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 5 binary64))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64))) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 5 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 5 binary64)))))
(+.f64 (fma.f64 (pow.f64 (sqrt.f64 (+.f64 x eps)) #s(literal 5 binary64)) (pow.f64 (sqrt.f64 (+.f64 x eps)) #s(literal 5 binary64)) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 5 binary64))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64))) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 5 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 5 binary64)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))) (cbrt.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))))))
(*.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))
(*.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(*.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 15 binary64)) (pow.f64 x #s(literal 15 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64)) (+.f64 (pow.f64 x #s(literal 10 binary64)) (pow.f64 (*.f64 (+.f64 x eps) x) #s(literal 5 binary64))))))
(*.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(*.f64 (+.f64 (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64))) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64)) (+.f64 (pow.f64 x #s(literal 10 binary64)) (pow.f64 (*.f64 (+.f64 x eps) x) #s(literal 5 binary64)))) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 15 binary64)) (pow.f64 x #s(literal 15 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64)))))
(/.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 15 binary64)) (pow.f64 x #s(literal 15 binary64))) (+.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64)) (+.f64 (pow.f64 x #s(literal 10 binary64)) (pow.f64 (*.f64 (+.f64 x eps) x) #s(literal 5 binary64)))))
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(exp.f64 (*.f64 (*.f64 #s(literal 5 binary64) (log.f64 (+.f64 x eps))) #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 (cbrt.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (+.f64 x eps)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x eps)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x eps)))
(*.f64 (sqrt.f64 (+.f64 x eps)) (sqrt.f64 (+.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 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x eps)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #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 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 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 x #s(literal 3 binary64)) (pow.f64 eps #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 (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)))
(log.f64 (exp.f64 (+.f64 x eps)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x eps))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 eps))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 eps)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 eps))))
(log.f64 (*.f64 (exp.f64 eps) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 eps)) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 eps)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(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 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) eps)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) 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)
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 5 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 5 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 5 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 5 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 5 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 5 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 5 binary64))) (cbrt.f64 (pow.f64 x #s(literal 10 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (cbrt.f64 (pow.f64 x #s(literal 5 binary64))))
(*.f64 (pow.f64 x #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 5 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 5 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 5 binary64)))
(sqrt.f64 (pow.f64 x #s(literal 10 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 5 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 5 binary64)))))
(cbrt.f64 (pow.f64 x #s(literal 15 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 5 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 5 binary64))))
(exp.f64 (*.f64 #s(literal 5 binary64) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 #s(literal 5 binary64) (log.f64 x)) #s(literal 1 binary64)))

simplify183.0ms (2.9%)

Algorithm
egg-herbie
Rules
413×fma-define
306×associate-+r+
293×fma-neg
285×distribute-rgt-in
282×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
061813155
1163712327
2535711146
Stop Event
node limit
Counts
258 → 359
Calls
Call 1
Inputs
(pow.f64 eps #s(literal 5 binary64))
(+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 4 binary64))) (pow.f64 eps #s(literal 4 binary64)))) (pow.f64 eps #s(literal 5 binary64)))
(+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 4 binary64))) (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 3 binary64))) (*.f64 eps (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64))))))) (pow.f64 eps #s(literal 4 binary64))))) (pow.f64 eps #s(literal 5 binary64)))
(+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 4 binary64))) (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 3 binary64))) (+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64))))) (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 8 binary64) (pow.f64 eps #s(literal 2 binary64)))))))) (pow.f64 eps #s(literal 4 binary64))))) (pow.f64 eps #s(literal 5 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (*.f64 #s(literal 4 binary64) eps)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (+.f64 (*.f64 #s(literal 4 binary64) eps) (*.f64 #s(literal 8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (+.f64 (*.f64 #s(literal 4 binary64) eps) (+.f64 (*.f64 #s(literal 4 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (/.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))))))))
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(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (*.f64 #s(literal 4 binary64) eps)))
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(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -4 binary64) (pow.f64 eps #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -4 binary64) (pow.f64 eps #s(literal 4 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 4 binary64)))) x)) (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 3 binary64))) (*.f64 eps (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64))))))) x)))) x)) (*.f64 #s(literal 4 binary64) eps))))
(*.f64 eps (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))))
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(*.f64 eps (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 2 binary64))))) (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))))))) (pow.f64 x #s(literal 4 binary64)))))
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(pow.f64 eps #s(literal 5 binary64))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 4 binary64) (/.f64 x eps)) (/.f64 x eps))))
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(pow.f64 eps #s(literal 5 binary64))
(+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 4 binary64))) (pow.f64 eps #s(literal 4 binary64)))) (pow.f64 eps #s(literal 5 binary64)))
(+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 4 binary64))) (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 3 binary64))) (*.f64 eps (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64))))))) (pow.f64 eps #s(literal 4 binary64))))) (pow.f64 eps #s(literal 5 binary64)))
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(pow.f64 x #s(literal 5 binary64))
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x eps))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 eps))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 eps)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 eps))))
(log.f64 (*.f64 (exp.f64 eps) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 eps)) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 eps)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(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 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) eps)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) 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)
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 5 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 5 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 5 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 5 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 5 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 5 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 5 binary64))) (cbrt.f64 (pow.f64 x #s(literal 10 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (cbrt.f64 (pow.f64 x #s(literal 5 binary64))))
(*.f64 (pow.f64 x #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 5 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 5 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 5 binary64)))
(sqrt.f64 (pow.f64 x #s(literal 10 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 5 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 5 binary64)))))
(cbrt.f64 (pow.f64 x #s(literal 15 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 5 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 5 binary64))))
(exp.f64 (*.f64 #s(literal 5 binary64) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 #s(literal 5 binary64) (log.f64 x)) #s(literal 1 binary64)))
Outputs
(pow.f64 eps #s(literal 5 binary64))
(+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 4 binary64))) (pow.f64 eps #s(literal 4 binary64)))) (pow.f64 eps #s(literal 5 binary64)))
(fma.f64 x (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64))) (pow.f64 eps #s(literal 5 binary64)))
(+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 4 binary64))) (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 3 binary64))) (*.f64 eps (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64))))))) (pow.f64 eps #s(literal 4 binary64))))) (pow.f64 eps #s(literal 5 binary64)))
(fma.f64 x (fma.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 x (fma.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 3 binary64)) (*.f64 eps (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 6 binary64)))) (pow.f64 eps #s(literal 4 binary64)))) (pow.f64 eps #s(literal 5 binary64)))
(fma.f64 x (+.f64 (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64))) (*.f64 x (fma.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 3 binary64)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64))))) (pow.f64 eps #s(literal 5 binary64)))
(fma.f64 x (+.f64 (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64))) (*.f64 x (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64)))) (pow.f64 eps #s(literal 5 binary64)))
(+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 4 binary64))) (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 3 binary64))) (+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64))))) (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 8 binary64) (pow.f64 eps #s(literal 2 binary64)))))))) (pow.f64 eps #s(literal 4 binary64))))) (pow.f64 eps #s(literal 5 binary64)))
(fma.f64 x (fma.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 x (fma.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 3 binary64)) (fma.f64 eps (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 6 binary64)) (*.f64 x (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 10 binary64))))) (pow.f64 eps #s(literal 4 binary64)))) (pow.f64 eps #s(literal 5 binary64)))
(fma.f64 x (+.f64 (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64))) (*.f64 x (fma.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 3 binary64)) (fma.f64 x (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 10 binary64)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64)))))) (pow.f64 eps #s(literal 5 binary64)))
(fma.f64 x (+.f64 (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64))) (*.f64 x (+.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 10 binary64) x))))) (pow.f64 eps #s(literal 5 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (*.f64 #s(literal 4 binary64) eps)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 5 binary64) eps))
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (+.f64 (*.f64 #s(literal 4 binary64) eps) (*.f64 #s(literal 8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (fma.f64 #s(literal 4 binary64) eps (*.f64 #s(literal 8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (fma.f64 eps #s(literal 4 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 #s(literal 8 binary64) x))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (+.f64 (*.f64 eps #s(literal 4 binary64)) (*.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) #s(literal 10 binary64)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (+.f64 (*.f64 #s(literal 4 binary64) eps) (+.f64 (*.f64 #s(literal 4 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (/.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (fma.f64 #s(literal 4 binary64) eps (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (*.f64 eps (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 x #s(literal 2 binary64))))))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (fma.f64 eps #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64)) (pow.f64 x #s(literal 2 binary64)))))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (+.f64 (*.f64 #s(literal 4 binary64) eps) (+.f64 (*.f64 #s(literal 4 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 4 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (+.f64 (/.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))))))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (fma.f64 #s(literal 4 binary64) eps (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (fma.f64 #s(literal 8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (*.f64 eps (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 x #s(literal 2 binary64))))) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))))))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (fma.f64 eps #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (fma.f64 #s(literal 8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))))))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (fma.f64 eps #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))) (+.f64 (fma.f64 #s(literal 8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))))))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (*.f64 #s(literal 4 binary64) eps)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 5 binary64) eps))
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -4 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64)))))) x)) (*.f64 #s(literal 4 binary64) eps))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 eps #s(literal 2 binary64)) (neg.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 6 binary64)))) x) (*.f64 eps #s(literal 4 binary64)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -4 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -6 binary64))) (neg.f64 x))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -10 binary64)) x)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -4 binary64) (pow.f64 eps #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 3 binary64))) (*.f64 eps (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64)))))) x)))) x)) (*.f64 #s(literal 4 binary64) eps))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 6 binary64)) (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 3 binary64)) (*.f64 eps (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 6 binary64)))) x)))) x) (*.f64 eps #s(literal 4 binary64)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (-.f64 (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -4 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -6 binary64))) (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 3 binary64)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64))) x)) (neg.f64 x))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -10 binary64)) (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64)) x)) x)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -4 binary64) (pow.f64 eps #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -4 binary64) (pow.f64 eps #s(literal 4 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 4 binary64)))) x)) (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 3 binary64))) (*.f64 eps (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64))))))) x)))) x)) (*.f64 #s(literal 4 binary64) eps))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 6 binary64)) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -5 binary64)) x) (fma.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 3 binary64)) (*.f64 eps (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 6 binary64))))) x)))) x) (*.f64 eps #s(literal 4 binary64)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (-.f64 (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -4 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -6 binary64))) (/.f64 (-.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 3 binary64)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64))) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (/.f64 #s(literal -5 binary64) x))) x)) (neg.f64 x))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -10 binary64)) (/.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (/.f64 #s(literal -5 binary64) x))) x)) x)))
(*.f64 eps (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 5 binary64) eps))
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 eps (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64))))))) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 eps (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 eps (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64)))))
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(pow.f64 x #s(literal 5 binary64))
(cbrt.f64 (pow.f64 x #s(literal 15 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 5 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 5 binary64))))
(pow.f64 x #s(literal 5 binary64))
(exp.f64 (*.f64 #s(literal 5 binary64) (log.f64 x)))
(pow.f64 x #s(literal 5 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 5 binary64) (log.f64 x)) #s(literal 1 binary64)))
(pow.f64 x #s(literal 5 binary64))

eval122.0ms (1.9%)

Compiler

Compiled 8385 to 1318 computations (84.3% saved)

prune84.0ms (1.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New3545359
Fresh000
Picked011
Done000
Total3546360
Accuracy
100.0%
Counts
360 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.8%
(pow.f64 eps #s(literal 5 binary64))
91.0%
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
44.6%
(-.f64 (*.f64 (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64)) (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64))) (pow.f64 x #s(literal 5 binary64)))
81.0%
(*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 5 binary64) eps))
90.9%
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (/.f64 x eps))))
81.1%
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
Compiler

Compiled 117 to 79 computations (32.5% saved)

localize160.0ms (2.5%)

Algorithm
egg-herbie
Localize:

Found 30 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 x eps)
cost-diff0
(pow.f64 (+.f64 x eps) #s(literal 5/2 binary64))
cost-diff6720
(*.f64 (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64)) (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64)))
cost-diff6720
(-.f64 (*.f64 (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64)) (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64))) (pow.f64 x #s(literal 5 binary64)))
cost-diff0
(*.f64 #s(literal 5 binary64) eps)
cost-diff0
(pow.f64 x #s(literal 4 binary64))
cost-diff0
(*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 5 binary64) eps))
cost-diff0
(pow.f64 x #s(literal 4 binary64))
cost-diff0
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))
cost-diff0
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
cost-diff0
(pow.f64 eps #s(literal 5 binary64))
cost-diff-6272
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (/.f64 x eps))))
cost-diff0
(/.f64 x eps)
cost-diff0
(*.f64 #s(literal 5 binary64) (/.f64 x eps))
cost-diff0
(pow.f64 eps #s(literal 5 binary64))
accuracy100.0%
(+.f64 x eps)
accuracy100.0%
(pow.f64 (+.f64 x eps) #s(literal 5/2 binary64))
accuracy99.8%
(*.f64 (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64)) (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64)))
accuracy95.2%
(-.f64 (*.f64 (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64)) (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64))) (pow.f64 x #s(literal 5 binary64)))
accuracy100.0%
(pow.f64 x #s(literal 4 binary64))
accuracy100.0%
(*.f64 #s(literal 5 binary64) eps)
accuracy99.9%
(*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 5 binary64) eps))
accuracy100.0%
(pow.f64 x #s(literal 4 binary64))
accuracy100.0%
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
accuracy99.9%
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))
accuracy100.0%
(pow.f64 eps #s(literal 5 binary64))
accuracy100.0%
(/.f64 x eps)
accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (/.f64 x eps)))
accuracy99.9%
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (/.f64 x eps))))
accuracy99.7%
(*.f64 #s(literal 5 binary64) (/.f64 x eps))
Rules
102×fma-define
53×associate-*l*
48×fma-neg
44×associate-*r*
29×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026353
157345
290345
3152345
4212345
5281345
6372345
7433345
8501345
9550345
10580345
11582345
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (/.f64 x eps))))
(pow.f64 eps #s(literal 5 binary64))
eps
#s(literal 5 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (/.f64 x eps)))
#s(literal 1 binary64)
(*.f64 #s(literal 5 binary64) (/.f64 x eps))
(/.f64 x eps)
x
(pow.f64 eps #s(literal 5 binary64))
eps
#s(literal 5 binary64)
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
eps
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))
#s(literal 5 binary64)
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
(*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 5 binary64) eps))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
(*.f64 #s(literal 5 binary64) eps)
#s(literal 5 binary64)
eps
(-.f64 (*.f64 (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64)) (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64))) (pow.f64 x #s(literal 5 binary64)))
(*.f64 (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64)) (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64)))
(pow.f64 (+.f64 x eps) #s(literal 5/2 binary64))
(+.f64 x eps)
x
eps
#s(literal 5/2 binary64)
(pow.f64 x #s(literal 5 binary64))
#s(literal 5 binary64)
Outputs
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 5 binary64) x) eps)))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(pow.f64 eps #s(literal 5 binary64))
eps
#s(literal 5 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (/.f64 x eps)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 5 binary64) x) eps))
(fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 #s(literal 5 binary64) (/.f64 x eps))
(/.f64 (*.f64 #s(literal 5 binary64) x) eps)
(/.f64 x eps)
x
(pow.f64 eps #s(literal 5 binary64))
eps
#s(literal 5 binary64)
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps #s(literal 5 binary64)))
(*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))
eps
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))
#s(literal 5 binary64)
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
(*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 5 binary64) eps))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps #s(literal 5 binary64)))
(*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
(*.f64 #s(literal 5 binary64) eps)
(*.f64 eps #s(literal 5 binary64))
#s(literal 5 binary64)
eps
(-.f64 (*.f64 (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64)) (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64))) (pow.f64 x #s(literal 5 binary64)))
(-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
(*.f64 (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64)) (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64)))
(pow.f64 (+.f64 eps x) #s(literal 5 binary64))
(pow.f64 (+.f64 x eps) #s(literal 5/2 binary64))
(pow.f64 (+.f64 eps x) #s(literal 5/2 binary64))
(+.f64 x eps)
(+.f64 eps x)
x
eps
#s(literal 5/2 binary64)
(pow.f64 x #s(literal 5 binary64))
#s(literal 5 binary64)
Results
35.0ms122×0invalid
31.0ms109×0valid
17.0ms24×1valid
2.0ms2valid
Compiler

Compiled 118 to 22 computations (81.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-pow: 25.0ms (50.4% of total)
ival-mult: 14.0ms (28.2% of total)
ival-div: 4.0ms (8.1% of total)
ival-add: 3.0ms (6.1% of total)
backward-pass: 1.0ms (2% of total)
const: 1.0ms (2% of total)
ival-sub: 1.0ms (2% of total)

series44.0ms (0.7%)

Counts
13 → 156
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal 5 binary64) (/.f64 x eps))>
#<alt (*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (/.f64 x eps))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (/.f64 x eps)))>
#<alt (/.f64 x eps)>
#<alt (pow.f64 eps #s(literal 5 binary64))>
#<alt (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))>
#<alt (pow.f64 x #s(literal 4 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 5 binary64) eps))>
#<alt (*.f64 #s(literal 5 binary64) eps)>
#<alt (-.f64 (*.f64 (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64)) (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64))) (pow.f64 x #s(literal 5 binary64)))>
#<alt (*.f64 (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64)) (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64)))>
#<alt (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64))>
Outputs
#<alt (*.f64 #s(literal 5 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) x))>
#<alt (*.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 eps (*.f64 #s(literal 5 binary64) x)))>
#<alt (*.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 eps (*.f64 #s(literal 5 binary64) x)))>
#<alt (*.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 eps (*.f64 #s(literal 5 binary64) x)))>
#<alt (pow.f64 eps #s(literal 5 binary64))>
#<alt (pow.f64 eps #s(literal 5 binary64))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal -5 binary64) (/.f64 x eps)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal -5 binary64) (/.f64 x eps)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal -5 binary64) (/.f64 x eps)) #s(literal 1 binary64))))>
#<alt (pow.f64 eps #s(literal 5 binary64))>
#<alt (+.f64 (*.f64 #s(literal 5 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) x)) (pow.f64 eps #s(literal 5 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 5 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) x)) (pow.f64 eps #s(literal 5 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 5 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) x)) (pow.f64 eps #s(literal 5 binary64)))>
#<alt (*.f64 #s(literal 5 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) x))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64))) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64))) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64))) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)))>
#<alt (*.f64 #s(literal 5 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -5 binary64) (pow.f64 eps #s(literal 4 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -5 binary64) (pow.f64 eps #s(literal 4 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -5 binary64) (pow.f64 eps #s(literal 4 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)))))>
#<alt #s(literal 1 binary64)>
#<alt (*.f64 #s(literal 5 binary64) (/.f64 x eps))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 5 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 5 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 5 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal 5 binary64) (/.f64 x eps))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 5 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 5 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 5 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal 5 binary64) (/.f64 x eps))>
#<alt (/.f64 (+.f64 eps (*.f64 #s(literal 5 binary64) x)) eps)>
#<alt (/.f64 (+.f64 eps (*.f64 #s(literal 5 binary64) x)) eps)>
#<alt (/.f64 (+.f64 eps (*.f64 #s(literal 5 binary64) x)) eps)>
#<alt #s(literal 1 binary64)>
#<alt #s(literal 1 binary64)>
#<alt (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))>
#<alt (pow.f64 eps #s(literal 5 binary64))>
#<alt (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 4 binary64))) (pow.f64 eps #s(literal 4 binary64)))) (pow.f64 eps #s(literal 5 binary64)))>
#<alt (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 4 binary64))) (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 3 binary64))) (*.f64 eps (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64))))))) (pow.f64 eps #s(literal 4 binary64))))) (pow.f64 eps #s(literal 5 binary64)))>
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#<alt (+.f64 (sqrt.f64 (pow.f64 eps #s(literal 5 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)))) (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 4 binary64))) (pow.f64 eps #s(literal 4 binary64))))) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)))) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 8 binary64) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 4 binary64))) (pow.f64 eps #s(literal 4 binary64))) (-.f64 (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 3 binary64))) (*.f64 eps (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 4 binary64))) (pow.f64 eps #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 eps #s(literal 5 binary64)))))) (pow.f64 eps #s(literal 5 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)))) (-.f64 (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 3 binary64))) (*.f64 eps (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 4 binary64))) (pow.f64 eps #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 eps #s(literal 5 binary64))))))))))))>
#<alt (sqrt.f64 (pow.f64 x #s(literal 5 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 eps (*.f64 #s(literal 4 binary64) eps))))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 eps (*.f64 #s(literal 4 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 8 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 eps (*.f64 #s(literal 4 binary64) eps)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 8 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (-.f64 (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 3 binary64))) (*.f64 eps (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (*.f64 #s(literal 1/4 binary64) (*.f64 x (pow.f64 (+.f64 eps (*.f64 #s(literal 4 binary64) eps)) #s(literal 2 binary64)))))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 5 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 eps (*.f64 #s(literal 4 binary64) eps)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (+.f64 (*.f64 #s(literal -4 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64)))))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 eps (*.f64 #s(literal 4 binary64) eps)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 3 binary64))) (*.f64 eps (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 x (pow.f64 (+.f64 eps (*.f64 #s(literal 4 binary64) eps)) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal -4 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64))))))))) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 eps (*.f64 #s(literal 4 binary64) eps)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (sqrt.f64 (pow.f64 x #s(literal 5 binary64)))>
#<alt (+.f64 (sqrt.f64 (pow.f64 x #s(literal 5 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))>
#<alt (+.f64 (sqrt.f64 (pow.f64 x #s(literal 5 binary64))) (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps (-.f64 (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 5 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))))>
#<alt (+.f64 (sqrt.f64 (pow.f64 x #s(literal 5 binary64))) (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))))) (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (-.f64 (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 5 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps (-.f64 (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 5 binary64)))))) (pow.f64 x #s(literal 5 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))))))>
#<alt (sqrt.f64 (pow.f64 eps #s(literal 5 binary64)))>
#<alt (*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (+.f64 x (*.f64 #s(literal 4 binary64) x))))))>
#<alt (*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (+.f64 x (*.f64 #s(literal 4 binary64) x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)))) (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 2 binary64)))))))))>
#<alt (*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (+.f64 x (*.f64 #s(literal 4 binary64) x)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)))) (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 7 binary64)))) (-.f64 (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))))) (*.f64 #s(literal 1/4 binary64) (*.f64 eps (pow.f64 (+.f64 x (*.f64 #s(literal 4 binary64) x)) #s(literal 2 binary64)))))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (pow.f64 eps #s(literal 5 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (+.f64 x (*.f64 #s(literal 4 binary64) x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)))) (+.f64 (*.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (+.f64 x (*.f64 #s(literal 4 binary64) x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (-.f64 (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 eps (pow.f64 (+.f64 x (*.f64 #s(literal 4 binary64) x)) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 eps) (+.f64 (*.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64))))))))) (pow.f64 eps #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (+.f64 x (*.f64 #s(literal 4 binary64) x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
Calls

66 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
(pow (+ x eps) 5/2)
2.0ms
eps
@inf
(pow (+ x eps) 5/2)
2.0ms
x
@-inf
(/ x eps)
2.0ms
eps
@0
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
1.0ms
x
@0
(pow (+ x eps) 5/2)

rewrite202.0ms (3.2%)

Algorithm
batch-egg-rewrite
Rules
1227×log1p-expm1-u
394×expm1-log1p-u
173×add-exp-log
173×add-log-exp
173×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026265
1425257
25541257
Stop Event
node limit
Counts
13 → 288
Calls
Call 1
Inputs
(*.f64 #s(literal 5 binary64) (/.f64 x eps))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (/.f64 x eps))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (/.f64 x eps)))
(/.f64 x eps)
(pow.f64 eps #s(literal 5 binary64))
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
(pow.f64 x #s(literal 4 binary64))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 5 binary64) eps))
(*.f64 #s(literal 5 binary64) eps)
(-.f64 (*.f64 (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64)) (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64))) (pow.f64 x #s(literal 5 binary64)))
(*.f64 (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64)) (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64)))
(pow.f64 (+.f64 x eps) #s(literal 5/2 binary64))
Outputs
(-.f64 (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 5 binary64) (/.f64 eps x))
(/.f64 #s(literal 1 binary64) (/.f64 eps (*.f64 #s(literal 5 binary64) x)))
(/.f64 (*.f64 #s(literal 5 binary64) x) eps)
(/.f64 (neg.f64 (*.f64 #s(literal 5 binary64) x)) (neg.f64 eps))
(/.f64 (*.f64 #s(literal 5 binary64) (neg.f64 x)) (neg.f64 eps))
(/.f64 (*.f64 (neg.f64 x) #s(literal 5 binary64)) (neg.f64 eps))
(/.f64 (/.f64 (*.f64 #s(literal 5 binary64) x) #s(literal 1 binary64)) eps)
(/.f64 (/.f64 (*.f64 #s(literal 5 binary64) x) (cbrt.f64 (pow.f64 eps #s(literal 2 binary64)))) (cbrt.f64 eps))
(/.f64 (/.f64 (*.f64 #s(literal 5 binary64) x) (sqrt.f64 eps)) (sqrt.f64 eps))
(pow.f64 (/.f64 (*.f64 #s(literal 5 binary64) x) eps) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 #s(literal 5 binary64) x) eps)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 #s(literal 5 binary64) x) eps) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 #s(literal 5 binary64) x) eps)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 25 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 5 binary64)) (/.f64 x eps)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 #s(literal 5 binary64) x) eps))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 #s(literal 5 binary64) x) eps) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 #s(literal 5 binary64) x) eps)))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 #s(literal 5 binary64) x) eps)))
(exp.f64 (log.f64 (/.f64 (*.f64 #s(literal 5 binary64) x) eps)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 5 binary64) x) eps)) #s(literal 1 binary64)))
(+.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 #s(literal 5 binary64) (*.f64 (/.f64 x eps) (pow.f64 eps #s(literal 5 binary64)))))
(+.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (/.f64 x eps) (pow.f64 eps #s(literal 5 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 5 binary64) (*.f64 (/.f64 x eps) (pow.f64 eps #s(literal 5 binary64)))) (pow.f64 eps #s(literal 5 binary64)))
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(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal 5 binary64) eps) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))))
(exp.f64 (log.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (cbrt.f64 (pow.f64 x #s(literal 8 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 8 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)))
(sqrt.f64 (pow.f64 x #s(literal 8 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 4 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 4 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 4 binary64))))
(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64)))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 25 binary64))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 5 binary64) eps) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal 5 binary64) eps) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))))
(exp.f64 (log.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 5 binary64) eps))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 5 binary64) eps)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 5 binary64) eps) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 5 binary64) eps)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 25 binary64)))
(log.f64 (pow.f64 (exp.f64 eps) #s(literal 5 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 5 binary64) eps))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 5 binary64) eps) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 5 binary64) eps)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 5 binary64) eps)))
(exp.f64 (log.f64 (*.f64 #s(literal 5 binary64) eps)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 5 binary64) eps)) #s(literal 1 binary64)))
(+.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (neg.f64 (pow.f64 x #s(literal 5 binary64))))
(+.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) #s(literal 1 binary64)))
(+.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))
(+.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x #s(literal 5 binary64)))) (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (pow.f64 x #s(literal 5 binary64))))
(+.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (neg.f64 (pow.f64 x #s(literal 5/2 binary64))) (pow.f64 x #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5 binary64))))
(+.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (pow.f64 (+.f64 x eps) #s(literal 5 binary64)))
(*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))
(*.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))) (cbrt.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 2 binary64))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(*.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 15 binary64)) (pow.f64 x #s(literal 15 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64)) (+.f64 (pow.f64 x #s(literal 10 binary64)) (pow.f64 (*.f64 (+.f64 x eps) x) #s(literal 5 binary64))))))
(*.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(*.f64 (+.f64 (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64))) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64)) (+.f64 (pow.f64 x #s(literal 10 binary64)) (pow.f64 (*.f64 (+.f64 x eps) x) #s(literal 5 binary64)))) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 15 binary64)) (pow.f64 x #s(literal 15 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64)))))
(/.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 15 binary64)) (pow.f64 x #s(literal 15 binary64))) (+.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64)) (+.f64 (pow.f64 x #s(literal 10 binary64)) (pow.f64 (*.f64 (+.f64 x eps) x) #s(literal 5 binary64)))))
(/.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64))) (+.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 15 binary64)) (pow.f64 x #s(literal 15 binary64)))) (neg.f64 (+.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64)) (+.f64 (pow.f64 x #s(literal 10 binary64)) (pow.f64 (*.f64 (+.f64 x eps) x) #s(literal 5 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64)))) (neg.f64 (+.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 x eps) #s(literal 15 binary64)) (pow.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64)) (-.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (neg.f64 (pow.f64 x #s(literal 5 binary64)))) (*.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (neg.f64 (pow.f64 x #s(literal 5 binary64)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64)) (*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (neg.f64 (pow.f64 x #s(literal 5 binary64))))) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (neg.f64 (pow.f64 x #s(literal 5 binary64)))))
(pow.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(exp.f64 (log.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (neg.f64 (pow.f64 x #s(literal 5 binary64))))
(fma.f64 (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64)) (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64)) (neg.f64 (pow.f64 x #s(literal 5 binary64))))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64))) (cbrt.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) (neg.f64 (pow.f64 x #s(literal 5 binary64))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)))) #s(literal 1 binary64))
(pow.f64 (+.f64 x eps) #s(literal 5 binary64))
(pow.f64 (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) #s(literal 5/2 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x eps) #s(literal 15 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64)))
(log.f64 (exp.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 x eps) #s(literal 15 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64))))
(exp.f64 (*.f64 #s(literal 5 binary64) (log.f64 (+.f64 x eps))))
(exp.f64 (*.f64 (log.f64 (+.f64 x eps)) #s(literal 5 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 5 binary64) (log.f64 (+.f64 x eps))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 5/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64)))
(*.f64 (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64))) (cbrt.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) (cbrt.f64 (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64))))
(*.f64 (pow.f64 (+.f64 x eps) #s(literal 5/4 binary64)) (pow.f64 (+.f64 x eps) #s(literal 5/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 5/2 binary64)) (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x eps)) #s(literal 2 binary64)) #s(literal 5/2 binary64)) (pow.f64 (cbrt.f64 (+.f64 x eps)) #s(literal 5/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x eps)) #s(literal 5/2 binary64)) (pow.f64 (sqrt.f64 (+.f64 x eps)) #s(literal 5/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64)))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)))))
(sqrt.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)))
(fabs.f64 (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64)))
(log.f64 (exp.f64 (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 x eps) #s(literal 15/2 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64))))
(exp.f64 (log.f64 (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64))) #s(literal 1 binary64)))

simplify187.0ms (3%)

Algorithm
egg-herbie
Rules
708×associate-*r*
702×fma-define
500×distribute-rgt-in
490×distribute-lft-in
340×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
099019076
1271017645
Stop Event
node limit
Counts
444 → 515
Calls
Call 1
Inputs
(*.f64 #s(literal 5 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) x))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 eps (*.f64 #s(literal 5 binary64) x)))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 eps (*.f64 #s(literal 5 binary64) x)))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 eps (*.f64 #s(literal 5 binary64) x)))
(pow.f64 eps #s(literal 5 binary64))
(pow.f64 eps #s(literal 5 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal -5 binary64) (/.f64 x eps)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal -5 binary64) (/.f64 x eps)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal -5 binary64) (/.f64 x eps)) #s(literal 1 binary64))))
(pow.f64 eps #s(literal 5 binary64))
(+.f64 (*.f64 #s(literal 5 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) x)) (pow.f64 eps #s(literal 5 binary64)))
(+.f64 (*.f64 #s(literal 5 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) x)) (pow.f64 eps #s(literal 5 binary64)))
(+.f64 (*.f64 #s(literal 5 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) x)) (pow.f64 eps #s(literal 5 binary64)))
(*.f64 #s(literal 5 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) x))
(*.f64 x (+.f64 (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64))) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)))
(*.f64 x (+.f64 (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64))) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)))
(*.f64 x (+.f64 (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64))) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)))
(*.f64 #s(literal 5 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) x))
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(log1p.f64 (expm1.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64)))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 25 binary64))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 5 binary64) eps) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal 5 binary64) eps) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))))
(exp.f64 (log.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (cbrt.f64 (pow.f64 x #s(literal 8 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 8 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)))
(sqrt.f64 (pow.f64 x #s(literal 8 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 4 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 4 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 4 binary64))))
(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64)))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 25 binary64))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 5 binary64) eps) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal 5 binary64) eps) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))))
(exp.f64 (log.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 5 binary64) eps))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 5 binary64) eps)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 5 binary64) eps) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 5 binary64) eps)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 25 binary64)))
(log.f64 (pow.f64 (exp.f64 eps) #s(literal 5 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 5 binary64) eps))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 5 binary64) eps) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 5 binary64) eps)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 5 binary64) eps)))
(exp.f64 (log.f64 (*.f64 #s(literal 5 binary64) eps)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 5 binary64) eps)) #s(literal 1 binary64)))
(+.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (neg.f64 (pow.f64 x #s(literal 5 binary64))))
(+.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) #s(literal 1 binary64)))
(+.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))
(+.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x #s(literal 5 binary64)))) (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (pow.f64 x #s(literal 5 binary64))))
(+.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (neg.f64 (pow.f64 x #s(literal 5/2 binary64))) (pow.f64 x #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5 binary64))))
(+.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (pow.f64 (+.f64 x eps) #s(literal 5 binary64)))
(*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))
(*.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))) (cbrt.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 2 binary64))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(*.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 15 binary64)) (pow.f64 x #s(literal 15 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64)) (+.f64 (pow.f64 x #s(literal 10 binary64)) (pow.f64 (*.f64 (+.f64 x eps) x) #s(literal 5 binary64))))))
(*.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(*.f64 (+.f64 (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64))) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64)) (+.f64 (pow.f64 x #s(literal 10 binary64)) (pow.f64 (*.f64 (+.f64 x eps) x) #s(literal 5 binary64)))) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 15 binary64)) (pow.f64 x #s(literal 15 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64)))))
(/.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 15 binary64)) (pow.f64 x #s(literal 15 binary64))) (+.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64)) (+.f64 (pow.f64 x #s(literal 10 binary64)) (pow.f64 (*.f64 (+.f64 x eps) x) #s(literal 5 binary64)))))
(/.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64))) (+.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 15 binary64)) (pow.f64 x #s(literal 15 binary64)))) (neg.f64 (+.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64)) (+.f64 (pow.f64 x #s(literal 10 binary64)) (pow.f64 (*.f64 (+.f64 x eps) x) #s(literal 5 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64)))) (neg.f64 (+.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 x eps) #s(literal 15 binary64)) (pow.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64)) (-.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (neg.f64 (pow.f64 x #s(literal 5 binary64)))) (*.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (neg.f64 (pow.f64 x #s(literal 5 binary64)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64)) (*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (neg.f64 (pow.f64 x #s(literal 5 binary64))))) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (neg.f64 (pow.f64 x #s(literal 5 binary64)))))
(pow.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(exp.f64 (log.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (neg.f64 (pow.f64 x #s(literal 5 binary64))))
(fma.f64 (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64)) (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64)) (neg.f64 (pow.f64 x #s(literal 5 binary64))))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64))) (cbrt.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) (neg.f64 (pow.f64 x #s(literal 5 binary64))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)))) #s(literal 1 binary64))
(pow.f64 (+.f64 x eps) #s(literal 5 binary64))
(pow.f64 (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) #s(literal 5/2 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x eps) #s(literal 15 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64)))
(log.f64 (exp.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 x eps) #s(literal 15 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64))))
(exp.f64 (*.f64 #s(literal 5 binary64) (log.f64 (+.f64 x eps))))
(exp.f64 (*.f64 (log.f64 (+.f64 x eps)) #s(literal 5 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 5 binary64) (log.f64 (+.f64 x eps))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 5/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64)))
(*.f64 (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64))) (cbrt.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) (cbrt.f64 (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64))))
(*.f64 (pow.f64 (+.f64 x eps) #s(literal 5/4 binary64)) (pow.f64 (+.f64 x eps) #s(literal 5/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 5/2 binary64)) (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x eps)) #s(literal 2 binary64)) #s(literal 5/2 binary64)) (pow.f64 (cbrt.f64 (+.f64 x eps)) #s(literal 5/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x eps)) #s(literal 5/2 binary64)) (pow.f64 (sqrt.f64 (+.f64 x eps)) #s(literal 5/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64)))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)))))
(sqrt.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)))
(fabs.f64 (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64)))
(log.f64 (exp.f64 (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 x eps) #s(literal 15/2 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64))))
(exp.f64 (log.f64 (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64))) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal 5 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) x))
(*.f64 x (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64))))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 eps (*.f64 #s(literal 5 binary64) x)))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 eps (*.f64 #s(literal 5 binary64) x)))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 eps (*.f64 #s(literal 5 binary64) x)))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))
(pow.f64 eps #s(literal 5 binary64))
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))))
(-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 3 binary64)))
(-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
(exp.f64 (log.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1 binary64)))
(-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (neg.f64 (pow.f64 x #s(literal 5 binary64))))
(-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
(fma.f64 (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64)) (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64)) (neg.f64 (pow.f64 x #s(literal 5 binary64))))
(-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64))) (cbrt.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) (neg.f64 (pow.f64 x #s(literal 5 binary64))))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64))) (cbrt.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) (neg.f64 (pow.f64 x #s(literal 5 binary64))))
(-.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64))) (cbrt.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)))) (pow.f64 x #s(literal 5 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64))))
(pow.f64 (+.f64 x eps) #s(literal 5 binary64))
(pow.f64 (+.f64 eps x) #s(literal 5 binary64))
(pow.f64 (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64)) #s(literal 2 binary64))
(pow.f64 (+.f64 eps x) #s(literal 5 binary64))
(pow.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #s(literal 1 binary64))
(pow.f64 (+.f64 eps x) #s(literal 5 binary64))
(pow.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) #s(literal 5/2 binary64))
(pow.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) #s(literal 5/2 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) #s(literal 3 binary64))
(pow.f64 (+.f64 eps x) #s(literal 5 binary64))
(pow.f64 (pow.f64 (+.f64 x eps) #s(literal 15 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (+.f64 eps x) #s(literal 15 binary64)))
(sqrt.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64)))
(sqrt.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)))
(log.f64 (exp.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64))))
(pow.f64 (+.f64 eps x) #s(literal 5 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)))))
(pow.f64 (+.f64 eps x) #s(literal 5 binary64))
(cbrt.f64 (pow.f64 (+.f64 x eps) #s(literal 15 binary64)))
(cbrt.f64 (pow.f64 (+.f64 eps x) #s(literal 15 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64))))
(pow.f64 (+.f64 eps x) #s(literal 5 binary64))
(exp.f64 (*.f64 #s(literal 5 binary64) (log.f64 (+.f64 x eps))))
(pow.f64 (+.f64 eps x) #s(literal 5 binary64))
(exp.f64 (*.f64 (log.f64 (+.f64 x eps)) #s(literal 5 binary64)))
(pow.f64 (+.f64 eps x) #s(literal 5 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64))) #s(literal 2 binary64)))
(pow.f64 (+.f64 eps x) #s(literal 5 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 5 binary64) (log.f64 (+.f64 x eps))) #s(literal 1 binary64)))
(pow.f64 (+.f64 eps x) #s(literal 5 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 5/2 binary64)))
(pow.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) #s(literal 5/2 binary64))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64))))
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64)))
(pow.f64 (+.f64 eps x) #s(literal 5/2 binary64))
(*.f64 (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64)) #s(literal 1 binary64))
(pow.f64 (+.f64 eps x) #s(literal 5/2 binary64))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64))) (cbrt.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) (cbrt.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) (cbrt.f64 (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) (cbrt.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64))))
(*.f64 (pow.f64 (+.f64 x eps) #s(literal 5/4 binary64)) (pow.f64 (+.f64 x eps) #s(literal 5/4 binary64)))
(pow.f64 (+.f64 eps x) #s(literal 5/2 binary64))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 5/2 binary64)) (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64)))
(pow.f64 (+.f64 eps x) #s(literal 5/2 binary64))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x eps)) #s(literal 2 binary64)) #s(literal 5/2 binary64)) (pow.f64 (cbrt.f64 (+.f64 x eps)) #s(literal 5/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 eps x)) #s(literal 2 binary64)) #s(literal 5/2 binary64)) (pow.f64 (cbrt.f64 (+.f64 eps x)) #s(literal 5/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x eps)) #s(literal 5/2 binary64)) (pow.f64 (sqrt.f64 (+.f64 x eps)) #s(literal 5/2 binary64)))
(pow.f64 (sqrt.f64 (+.f64 eps x)) #s(literal 5 binary64))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64)))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)))))
(sqrt.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)))
(sqrt.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)))
(fabs.f64 (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64)))
(pow.f64 (+.f64 eps x) #s(literal 5/2 binary64))
(log.f64 (exp.f64 (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64))))
(pow.f64 (+.f64 eps x) #s(literal 5/2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64)))))
(pow.f64 (+.f64 eps x) #s(literal 5/2 binary64))
(cbrt.f64 (pow.f64 (+.f64 x eps) #s(literal 15/2 binary64)))
(cbrt.f64 (pow.f64 (+.f64 eps x) #s(literal 15/2 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64))))
(pow.f64 (+.f64 eps x) #s(literal 5/2 binary64))
(exp.f64 (log.f64 (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64))))
(pow.f64 (+.f64 eps x) #s(literal 5/2 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64))) #s(literal 1 binary64)))
(pow.f64 (+.f64 eps x) #s(literal 5/2 binary64))

eval89.0ms (1.4%)

Compiler

Compiled 19320 to 2854 computations (85.2% saved)

prune107.0ms (1.7%)

Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New7635768
Fresh000
Picked235
Done011
Total7659774
Accuracy
100.0%
Counts
774 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
80.9%
(pow.f64 (cbrt.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))) #s(literal 3 binary64))
90.8%
(pow.f64 eps #s(literal 5 binary64))
44.6%
(-.f64 (pow.f64 (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 5 binary64)))
91.0%
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
81.0%
(*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 5 binary64) eps))
90.8%
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 eps (*.f64 #s(literal 5 binary64) x)))
81.1%
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
79.9%
(*.f64 eps (sqrt.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 25 binary64))))
81.0%
(*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))
Compiler

Compiled 144 to 111 computations (22.9% saved)

localize183.0ms (2.9%)

Algorithm
egg-herbie
Localize:

Found 38 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 x eps)
cost-diff0
(pow.f64 (+.f64 x eps) #s(literal 5/2 binary64))
cost-diff6464
(pow.f64 (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64)) #s(literal 2 binary64))
cost-diff6464
(-.f64 (pow.f64 (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 5 binary64)))
cost-diff0
(*.f64 eps (pow.f64 x #s(literal 4 binary64)))
cost-diff0
(*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))
cost-diff0
(cbrt.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64)))))
cost-diff12864
(pow.f64 (cbrt.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))) #s(literal 3 binary64))
cost-diff0
(pow.f64 x #s(literal 8 binary64))
cost-diff0
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 25 binary64))
cost-diff0
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 25 binary64)))
cost-diff0
(*.f64 eps (sqrt.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 25 binary64))))
cost-diff0
(pow.f64 x #s(literal 4 binary64))
cost-diff0
(*.f64 eps (pow.f64 x #s(literal 4 binary64)))
cost-diff0
(*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))
cost-diff-6272
(+.f64 eps (*.f64 #s(literal 5 binary64) x))
cost-diff-6272
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 eps (*.f64 #s(literal 5 binary64) x)))
cost-diff0
(*.f64 #s(literal 5 binary64) x)
cost-diff0
(pow.f64 eps #s(literal 4 binary64))
accuracy100.0%
(+.f64 x eps)
accuracy100.0%
(pow.f64 (+.f64 x eps) #s(literal 5/2 binary64))
accuracy99.8%
(pow.f64 (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64)) #s(literal 2 binary64))
accuracy95.2%
(-.f64 (pow.f64 (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 5 binary64)))
accuracy100.0%
(*.f64 eps (pow.f64 x #s(literal 4 binary64)))
accuracy100.0%
(*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))
accuracy99.9%
(pow.f64 (cbrt.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))) #s(literal 3 binary64))
accuracy71.9%
(cbrt.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64)))))
accuracy100.0%
(pow.f64 x #s(literal 8 binary64))
accuracy100.0%
(*.f64 eps (sqrt.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 25 binary64))))
accuracy100.0%
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 25 binary64))
accuracy92.2%
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 25 binary64)))
accuracy100.0%
(pow.f64 x #s(literal 4 binary64))
accuracy100.0%
(*.f64 eps (pow.f64 x #s(literal 4 binary64)))
accuracy100.0%
(*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))
accuracy100.0%
(pow.f64 eps #s(literal 4 binary64))
accuracy100.0%
(*.f64 #s(literal 5 binary64) x)
accuracy100.0%
(+.f64 eps (*.f64 #s(literal 5 binary64) x))
accuracy99.9%
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 eps (*.f64 #s(literal 5 binary64) x)))
Rules
73×fma-define
48×fma-neg
21×*-commutative
14×distribute-rgt-in
14×unsub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033469
155449
289449
3114449
4127449
5147449
6197449
7258449
8327449
9376449
10406449
11408449
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 eps (*.f64 #s(literal 5 binary64) x)))
(pow.f64 eps #s(literal 4 binary64))
eps
#s(literal 4 binary64)
(+.f64 eps (*.f64 #s(literal 5 binary64) x))
(*.f64 #s(literal 5 binary64) x)
#s(literal 5 binary64)
x
(*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))
#s(literal 5 binary64)
(*.f64 eps (pow.f64 x #s(literal 4 binary64)))
eps
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
(*.f64 eps (sqrt.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 25 binary64))))
eps
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 25 binary64)))
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 25 binary64))
(pow.f64 x #s(literal 8 binary64))
x
#s(literal 8 binary64)
#s(literal 25 binary64)
(pow.f64 (cbrt.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))) #s(literal 3 binary64))
(cbrt.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64)))))
(*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))
#s(literal 5 binary64)
(*.f64 eps (pow.f64 x #s(literal 4 binary64)))
eps
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal 3 binary64)
(-.f64 (pow.f64 (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 5 binary64)))
(pow.f64 (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64)) #s(literal 2 binary64))
(pow.f64 (+.f64 x eps) #s(literal 5/2 binary64))
(+.f64 x eps)
x
eps
#s(literal 5/2 binary64)
#s(literal 2 binary64)
(pow.f64 x #s(literal 5 binary64))
#s(literal 5 binary64)
Outputs
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 eps (*.f64 #s(literal 5 binary64) x)))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))
(pow.f64 eps #s(literal 4 binary64))
eps
#s(literal 4 binary64)
(+.f64 eps (*.f64 #s(literal 5 binary64) x))
(fma.f64 #s(literal 5 binary64) x eps)
(*.f64 #s(literal 5 binary64) x)
#s(literal 5 binary64)
x
(*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))
(*.f64 eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)))
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(literal 5 binary64)
(*.f64 eps (pow.f64 x #s(literal 4 binary64)))
eps
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
(*.f64 eps (sqrt.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 25 binary64))))
eps
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 25 binary64)))
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 25 binary64))
(pow.f64 x #s(literal 8 binary64))
x
#s(literal 8 binary64)
#s(literal 25 binary64)
(pow.f64 (cbrt.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))) #s(literal 3 binary64))
(*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))
(*.f64 eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)))
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
(cbrt.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64)))))
(cbrt.f64 (*.f64 eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))))
(cbrt.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))
(*.f64 eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)))
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(literal 5 binary64)
(*.f64 eps (pow.f64 x #s(literal 4 binary64)))
eps
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal 3 binary64)
(-.f64 (pow.f64 (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 5 binary64)))
(-.f64 (pow.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 5 binary64)))
(-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
(pow.f64 (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) #s(literal 2 binary64))
(pow.f64 (+.f64 eps x) #s(literal 5 binary64))
(pow.f64 (+.f64 x eps) #s(literal 5/2 binary64))
(pow.f64 (+.f64 eps x) #s(literal 5/2 binary64))
(+.f64 x eps)
(+.f64 eps x)
x
eps
#s(literal 5/2 binary64)
#s(literal 2 binary64)
(pow.f64 x #s(literal 5 binary64))
#s(literal 5 binary64)
Results
43.0ms122×0invalid
37.0ms105×0valid
24.0ms27×1valid
2.0ms2valid
Compiler

Compiled 144 to 28 computations (80.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 67.0ms
ival-pow: 42.0ms (63.1% of total)
ival-mult: 11.0ms (16.5% of total)
ival-add: 4.0ms (6% of total)
backward-pass: 2.0ms (3% of total)
ival-sub: 2.0ms (3% of total)
ival-sqrt: 2.0ms (3% of total)
ival-cbrt: 2.0ms (3% of total)
const: 1.0ms (1.5% of total)

series46.0ms (0.7%)

Counts
14 → 183
Calls
Call 1
Inputs
#<alt (*.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 eps (*.f64 #s(literal 5 binary64) x)))>
#<alt (+.f64 eps (*.f64 #s(literal 5 binary64) x))>
#<alt (*.f64 #s(literal 5 binary64) x)>
#<alt (pow.f64 eps #s(literal 4 binary64))>
#<alt (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))>
#<alt (*.f64 eps (pow.f64 x #s(literal 4 binary64)))>
#<alt (sqrt.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 25 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 25 binary64))>
#<alt (*.f64 eps (sqrt.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 25 binary64))))>
#<alt (pow.f64 x #s(literal 8 binary64))>
#<alt (cbrt.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64)))))>
#<alt (pow.f64 (cbrt.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))) #s(literal 3 binary64))>
#<alt (-.f64 (pow.f64 (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 5 binary64)))>
#<alt (pow.f64 (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64)) #s(literal 2 binary64))>
Outputs
#<alt (*.f64 #s(literal 5 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) x))>
#<alt (pow.f64 eps #s(literal 5 binary64))>
#<alt (*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (/.f64 x eps))))>
#<alt (*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (/.f64 x eps))))>
#<alt (*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (/.f64 x eps))))>
#<alt (pow.f64 eps #s(literal 5 binary64))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal -5 binary64) (/.f64 x eps)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal -5 binary64) (/.f64 x eps)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal -5 binary64) (/.f64 x eps)) #s(literal 1 binary64))))>
#<alt (pow.f64 eps #s(literal 5 binary64))>
#<alt (+.f64 (*.f64 #s(literal 5 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) x)) (pow.f64 eps #s(literal 5 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 5 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) x)) (pow.f64 eps #s(literal 5 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 5 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) x)) (pow.f64 eps #s(literal 5 binary64)))>
#<alt (*.f64 #s(literal 5 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) x))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64))) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64))) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64))) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)))>
#<alt (*.f64 #s(literal 5 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -5 binary64) (pow.f64 eps #s(literal 4 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -5 binary64) (pow.f64 eps #s(literal 4 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -5 binary64) (pow.f64 eps #s(literal 4 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)))))>
#<alt (*.f64 #s(literal 5 binary64) x)>
#<alt eps>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (/.f64 x eps))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (/.f64 x eps))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (/.f64 x eps))))>
#<alt eps>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -5 binary64) (/.f64 x eps)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -5 binary64) (/.f64 x eps)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -5 binary64) (/.f64 x eps)) #s(literal 1 binary64))))>
#<alt eps>
#<alt (*.f64 #s(literal 5 binary64) x)>
#<alt (*.f64 x (+.f64 #s(literal 5 binary64) (/.f64 eps x)))>
#<alt (*.f64 x (+.f64 #s(literal 5 binary64) (/.f64 eps x)))>
#<alt (*.f64 x (+.f64 #s(literal 5 binary64) (/.f64 eps x)))>
#<alt (*.f64 #s(literal 5 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 5 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 5 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 5 binary64))))>
#<alt (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (*.f64 #s(literal 25 binary64) (pow.f64 x #s(literal 8 binary64)))>
#<alt (*.f64 #s(literal 25 binary64) (pow.f64 x #s(literal 8 binary64)))>
#<alt (*.f64 #s(literal 25 binary64) (pow.f64 x #s(literal 8 binary64)))>
#<alt (*.f64 #s(literal 25 binary64) (pow.f64 x #s(literal 8 binary64)))>
#<alt (*.f64 #s(literal 25 binary64) (pow.f64 x #s(literal 8 binary64)))>
#<alt (*.f64 #s(literal 25 binary64) (pow.f64 x #s(literal 8 binary64)))>
#<alt (*.f64 #s(literal 25 binary64) (pow.f64 x #s(literal 8 binary64)))>
#<alt (*.f64 #s(literal 25 binary64) (pow.f64 x #s(literal 8 binary64)))>
#<alt (*.f64 #s(literal 25 binary64) (pow.f64 x #s(literal 8 binary64)))>
#<alt (*.f64 #s(literal 25 binary64) (pow.f64 x #s(literal 8 binary64)))>
#<alt (*.f64 #s(literal 25 binary64) (pow.f64 x #s(literal 8 binary64)))>
#<alt (*.f64 #s(literal 25 binary64) (pow.f64 x #s(literal 8 binary64)))>
#<alt (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))>
#<alt (*.f64 (cbrt.f64 (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) (cbrt.f64 #s(literal 5 binary64)))>
#<alt (*.f64 (cbrt.f64 (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) (cbrt.f64 #s(literal 5 binary64)))>
#<alt (*.f64 (cbrt.f64 (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) (cbrt.f64 #s(literal 5 binary64)))>
#<alt (*.f64 (cbrt.f64 (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) (cbrt.f64 #s(literal 5 binary64)))>
#<alt (*.f64 (cbrt.f64 (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) (cbrt.f64 #s(literal 5 binary64)))>
#<alt (*.f64 (cbrt.f64 (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) (cbrt.f64 #s(literal 5 binary64)))>
#<alt (*.f64 (cbrt.f64 (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) (cbrt.f64 #s(literal 5 binary64)))>
#<alt (*.f64 (cbrt.f64 (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) (cbrt.f64 #s(literal 5 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) (cbrt.f64 #s(literal -5 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) (cbrt.f64 #s(literal -5 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) (cbrt.f64 #s(literal -5 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) (cbrt.f64 #s(literal -5 binary64))))>
#<alt (*.f64 (cbrt.f64 (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) (cbrt.f64 #s(literal 5 binary64)))>
#<alt (*.f64 (cbrt.f64 (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) (cbrt.f64 #s(literal 5 binary64)))>
#<alt (*.f64 (cbrt.f64 (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) (cbrt.f64 #s(literal 5 binary64)))>
#<alt (*.f64 (cbrt.f64 (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) (cbrt.f64 #s(literal 5 binary64)))>
#<alt (*.f64 (cbrt.f64 (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) (cbrt.f64 #s(literal 5 binary64)))>
#<alt (*.f64 (cbrt.f64 (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) (cbrt.f64 #s(literal 5 binary64)))>
#<alt (*.f64 (cbrt.f64 (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) (cbrt.f64 #s(literal 5 binary64)))>
#<alt (*.f64 (cbrt.f64 (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) (cbrt.f64 #s(literal 5 binary64)))>
#<alt (*.f64 (cbrt.f64 (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) (cbrt.f64 #s(literal 5 binary64)))>
#<alt (*.f64 (cbrt.f64 (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) (cbrt.f64 #s(literal 5 binary64)))>
#<alt (*.f64 (cbrt.f64 (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) (cbrt.f64 #s(literal 5 binary64)))>
#<alt (*.f64 (cbrt.f64 (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) (cbrt.f64 #s(literal 5 binary64)))>
#<alt (*.f64 eps (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (cbrt.f64 #s(literal 5 binary64)) #s(literal 3 binary64))))>
#<alt (*.f64 eps (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (cbrt.f64 #s(literal 5 binary64)) #s(literal 3 binary64))))>
#<alt (*.f64 eps (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (cbrt.f64 #s(literal 5 binary64)) #s(literal 3 binary64))))>
#<alt (*.f64 eps (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (cbrt.f64 #s(literal 5 binary64)) #s(literal 3 binary64))))>
#<alt (*.f64 eps (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (cbrt.f64 #s(literal 5 binary64)) #s(literal 3 binary64))))>
#<alt (*.f64 eps (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (cbrt.f64 #s(literal 5 binary64)) #s(literal 3 binary64))))>
#<alt (*.f64 eps (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (cbrt.f64 #s(literal 5 binary64)) #s(literal 3 binary64))))>
#<alt (*.f64 eps (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (cbrt.f64 #s(literal 5 binary64)) #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (cbrt.f64 #s(literal -5 binary64)) #s(literal 3 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (cbrt.f64 #s(literal -5 binary64)) #s(literal 3 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (cbrt.f64 #s(literal -5 binary64)) #s(literal 3 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (cbrt.f64 #s(literal -5 binary64)) #s(literal 3 binary64)))))>
#<alt (*.f64 eps (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (cbrt.f64 #s(literal 5 binary64)) #s(literal 3 binary64))))>
#<alt (*.f64 eps (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (cbrt.f64 #s(literal 5 binary64)) #s(literal 3 binary64))))>
#<alt (*.f64 eps (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (cbrt.f64 #s(literal 5 binary64)) #s(literal 3 binary64))))>
#<alt (*.f64 eps (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (cbrt.f64 #s(literal 5 binary64)) #s(literal 3 binary64))))>
#<alt (*.f64 eps (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (cbrt.f64 #s(literal 5 binary64)) #s(literal 3 binary64))))>
#<alt (*.f64 eps (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (cbrt.f64 #s(literal 5 binary64)) #s(literal 3 binary64))))>
#<alt (*.f64 eps (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (cbrt.f64 #s(literal 5 binary64)) #s(literal 3 binary64))))>
#<alt (*.f64 eps (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (cbrt.f64 #s(literal 5 binary64)) #s(literal 3 binary64))))>
#<alt (*.f64 eps (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (cbrt.f64 #s(literal 5 binary64)) #s(literal 3 binary64))))>
#<alt (*.f64 eps (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (cbrt.f64 #s(literal 5 binary64)) #s(literal 3 binary64))))>
#<alt (*.f64 eps (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (cbrt.f64 #s(literal 5 binary64)) #s(literal 3 binary64))))>
#<alt (*.f64 eps (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (cbrt.f64 #s(literal 5 binary64)) #s(literal 3 binary64))))>
#<alt (pow.f64 eps #s(literal 5 binary64))>
#<alt (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 4 binary64))) (pow.f64 eps #s(literal 4 binary64)))) (pow.f64 eps #s(literal 5 binary64)))>
#<alt (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 4 binary64))) (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 3 binary64))) (*.f64 eps (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64))))))) (pow.f64 eps #s(literal 4 binary64))))) (pow.f64 eps #s(literal 5 binary64)))>
#<alt (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 4 binary64))) (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 3 binary64))) (+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64))))) (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 8 binary64) (pow.f64 eps #s(literal 2 binary64)))))))) (pow.f64 eps #s(literal 4 binary64))))) (pow.f64 eps #s(literal 5 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (*.f64 #s(literal 4 binary64) eps)))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (+.f64 (*.f64 #s(literal 4 binary64) eps) (*.f64 #s(literal 8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (+.f64 (*.f64 #s(literal 4 binary64) eps) (+.f64 (*.f64 #s(literal 4 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (/.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))))))))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (+.f64 (*.f64 #s(literal 4 binary64) eps) (+.f64 (*.f64 #s(literal 4 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 4 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (+.f64 (/.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))))))))))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (*.f64 #s(literal 4 binary64) eps)))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -4 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64)))))) x)) (*.f64 #s(literal 4 binary64) eps))))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -4 binary64) (pow.f64 eps #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 3 binary64))) (*.f64 eps (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64)))))) x)))) x)) (*.f64 #s(literal 4 binary64) eps))))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -4 binary64) (pow.f64 eps #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -4 binary64) (pow.f64 eps #s(literal 4 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 4 binary64)))) x)) (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 3 binary64))) (*.f64 eps (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64))))))) x)))) x)) (*.f64 #s(literal 4 binary64) eps))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64))))))) (pow.f64 x #s(literal 4 binary64)))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 2 binary64))))) (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))))))) (pow.f64 x #s(literal 4 binary64)))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 eps (+.f64 x (*.f64 #s(literal 4 binary64) x)))))) (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))))))) (pow.f64 x #s(literal 4 binary64)))))>
#<alt (pow.f64 eps #s(literal 5 binary64))>
#<alt (*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 4 binary64) (/.f64 x eps)) (/.f64 x eps))))>
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#<alt (*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 4 binary64) (/.f64 x eps)) (+.f64 (*.f64 #s(literal 4 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))) (+.f64 (/.f64 x eps) (/.f64 (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 eps #s(literal 3 binary64))))))))))>
#<alt (pow.f64 eps #s(literal 5 binary64))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal 4 binary64) x)) eps)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))))) eps)) (*.f64 #s(literal 4 binary64) x))) eps)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))))) eps)))) eps)) (*.f64 #s(literal 4 binary64) x))) eps)) #s(literal 1 binary64))))>
#<alt (pow.f64 eps #s(literal 5 binary64))>
#<alt (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 4 binary64))) (pow.f64 eps #s(literal 4 binary64)))) (pow.f64 eps #s(literal 5 binary64)))>
#<alt (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 4 binary64))) (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 3 binary64))) (*.f64 eps (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64))))))) (pow.f64 eps #s(literal 4 binary64))))) (pow.f64 eps #s(literal 5 binary64)))>
#<alt (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 4 binary64))) (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 3 binary64))) (+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64))))) (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 8 binary64) (pow.f64 eps #s(literal 2 binary64)))))))) (pow.f64 eps #s(literal 4 binary64))))) (pow.f64 eps #s(literal 5 binary64)))>
#<alt (pow.f64 x #s(literal 5 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 4 binary64) (/.f64 eps x)) (/.f64 eps x))))>
#<alt (*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 4 binary64) (/.f64 eps x)) (+.f64 (*.f64 #s(literal 8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 eps x))))))>
#<alt (*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 4 binary64) (/.f64 eps x)) (+.f64 (*.f64 #s(literal 4 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (/.f64 eps x) (/.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64))))) (pow.f64 x #s(literal 3 binary64))))))))))>
#<alt (pow.f64 x #s(literal 5 binary64))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 eps (*.f64 #s(literal 4 binary64) eps)) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -4 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64)))))) x)) (*.f64 #s(literal 4 binary64) eps))) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -4 binary64) (pow.f64 eps #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 3 binary64))) (*.f64 eps (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64)))))) x)))) x)) (*.f64 #s(literal 4 binary64) eps))) x)) #s(literal 1 binary64))))>
#<alt (pow.f64 x #s(literal 5 binary64))>
#<alt (+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 5 binary64)))>
#<alt (+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64))))))) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 5 binary64)))>
#<alt (+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 2 binary64))))) (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))))))) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 5 binary64)))>
#<alt (pow.f64 eps #s(literal 5 binary64))>
#<alt (*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 4 binary64) (/.f64 x eps)) (/.f64 x eps))))>
#<alt (*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 4 binary64) (/.f64 x eps)) (+.f64 (*.f64 #s(literal 8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))) (/.f64 x eps))))))>
#<alt (*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 4 binary64) (/.f64 x eps)) (+.f64 (*.f64 #s(literal 4 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))) (+.f64 (/.f64 x eps) (/.f64 (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 eps #s(literal 3 binary64))))))))))>
#<alt (pow.f64 eps #s(literal 5 binary64))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal 4 binary64) x)) eps)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))))) eps)) (*.f64 #s(literal 4 binary64) x))) eps)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))))) eps)))) eps)) (*.f64 #s(literal 4 binary64) x))) eps)) #s(literal 1 binary64))))>
Calls

69 calls:

TimeVariablePointExpression
8.0ms
eps
@inf
(cbrt (* 5 (* eps (pow x 4))))
4.0ms
eps
@0
(cbrt (* 5 (* eps (pow x 4))))
3.0ms
x
@0
(cbrt (* 5 (* eps (pow x 4))))
2.0ms
eps
@0
(pow (cbrt (* 5 (* eps (pow x 4)))) 3)
2.0ms
eps
@-inf
(cbrt (* 5 (* eps (pow x 4))))

rewrite233.0ms (3.7%)

Algorithm
batch-egg-rewrite
Rules
1117×log1p-expm1-u
207×expm1-log1p-u
202×associate-*r*
195×add-cube-cbrt
194×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033295
1475283
26194283
Stop Event
node limit
Counts
14 → 333
Calls
Call 1
Inputs
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 eps (*.f64 #s(literal 5 binary64) x)))
(+.f64 eps (*.f64 #s(literal 5 binary64) x))
(*.f64 #s(literal 5 binary64) x)
(pow.f64 eps #s(literal 4 binary64))
(*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))
(*.f64 eps (pow.f64 x #s(literal 4 binary64)))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 25 binary64)))
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 25 binary64))
(*.f64 eps (sqrt.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 25 binary64))))
(pow.f64 x #s(literal 8 binary64))
(cbrt.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64)))))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))) #s(literal 3 binary64))
(-.f64 (pow.f64 (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 5 binary64)))
(pow.f64 (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64)) #s(literal 2 binary64))
Outputs
(+.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 #s(literal 5 binary64) x)))
(+.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 #s(literal 5 binary64) x)) (pow.f64 eps #s(literal 5 binary64)))
(+.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 #s(literal 5 binary64) x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)))) #s(literal 1 binary64))
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(*.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(*.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 15 binary64)) (pow.f64 x #s(literal 15 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 5 binary64)))))
(*.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(*.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 5 binary64))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 15 binary64)) (pow.f64 x #s(literal 15 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64)))))
(/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 15 binary64)) (pow.f64 x #s(literal 15 binary64))) (+.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 5 binary64))))
(/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64))) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 15 binary64)) (pow.f64 x #s(literal 15 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 5 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64)))) (neg.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 15 binary64)) (pow.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (-.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (neg.f64 (pow.f64 x #s(literal 5 binary64)))) (*.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (neg.f64 (pow.f64 x #s(literal 5 binary64)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (neg.f64 (pow.f64 x #s(literal 5 binary64))))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (neg.f64 (pow.f64 x #s(literal 5 binary64)))))
(pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(exp.f64 (log.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) (neg.f64 (pow.f64 x #s(literal 5 binary64))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (neg.f64 (pow.f64 x #s(literal 5 binary64))))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64))) (cbrt.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) (neg.f64 (pow.f64 x #s(literal 5 binary64))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)))
(*.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 eps x) #s(literal 5 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) (cbrt.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) (*.f64 (cbrt.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64))) (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64))) (cbrt.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64))))
(*.f64 (pow.f64 (+.f64 eps x) #s(literal 5/4 binary64)) (*.f64 (pow.f64 (+.f64 eps x) #s(literal 5/4 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 eps x)) #s(literal 2 binary64)) #s(literal 5 binary64)) (pow.f64 (cbrt.f64 (+.f64 eps x)) #s(literal 5 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 eps x)) #s(literal 5 binary64)) (pow.f64 (sqrt.f64 (+.f64 eps x)) #s(literal 5 binary64)))
(*.f64 (*.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5/4 binary64))) (pow.f64 (+.f64 eps x) #s(literal 5/4 binary64)))
(*.f64 (*.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) (cbrt.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)))) (cbrt.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64))))
(sqrt.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)))
(log.f64 (exp.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 eps x) #s(literal 15 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64))))
(exp.f64 (*.f64 #s(literal 5 binary64) (log.f64 (+.f64 eps x))))
(exp.f64 (*.f64 (log.f64 (+.f64 eps x)) #s(literal 5 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 5 binary64) (log.f64 (+.f64 eps x))) #s(literal 1 binary64)))

simplify271.0ms (4.3%)

Algorithm
egg-herbie
Rules
523×associate-*r*
505×fma-define
495×associate-*l*
401×fma-neg
361×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
089918389
1221617633
2772517633
Stop Event
node limit
Counts
516 → 484
Calls
Call 1
Inputs
(*.f64 #s(literal 5 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) x))
(pow.f64 eps #s(literal 5 binary64))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (/.f64 x eps))))
(pow.f64 eps #s(literal 5 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal -5 binary64) (/.f64 x eps)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal -5 binary64) (/.f64 x eps)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal -5 binary64) (/.f64 x eps)) #s(literal 1 binary64))))
(pow.f64 eps #s(literal 5 binary64))
(+.f64 (*.f64 #s(literal 5 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) x)) (pow.f64 eps #s(literal 5 binary64)))
(+.f64 (*.f64 #s(literal 5 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) x)) (pow.f64 eps #s(literal 5 binary64)))
(+.f64 (*.f64 #s(literal 5 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) x)) (pow.f64 eps #s(literal 5 binary64)))
(*.f64 #s(literal 5 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) x))
(*.f64 x (+.f64 (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64))) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)))
(*.f64 x (+.f64 (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64))) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)))
(*.f64 x (+.f64 (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64))) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)))
(*.f64 #s(literal 5 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) x))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -5 binary64) (pow.f64 eps #s(literal 4 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -5 binary64) (pow.f64 eps #s(literal 4 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -5 binary64) (pow.f64 eps #s(literal 4 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)))))
(*.f64 #s(literal 5 binary64) x)
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (/.f64 x eps))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (/.f64 x eps))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (/.f64 x eps))))
eps
(*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -5 binary64) (/.f64 x eps)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -5 binary64) (/.f64 x eps)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -5 binary64) (/.f64 x eps)) #s(literal 1 binary64))))
eps
(*.f64 #s(literal 5 binary64) x)
(*.f64 x (+.f64 #s(literal 5 binary64) (/.f64 eps x)))
(*.f64 x (+.f64 #s(literal 5 binary64) (/.f64 eps x)))
(*.f64 x (+.f64 #s(literal 5 binary64) (/.f64 eps x)))
(*.f64 #s(literal 5 binary64) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 5 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 5 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 5 binary64))))
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 25 binary64) (pow.f64 x #s(literal 8 binary64)))
(*.f64 #s(literal 25 binary64) (pow.f64 x #s(literal 8 binary64)))
(*.f64 #s(literal 25 binary64) (pow.f64 x #s(literal 8 binary64)))
(*.f64 #s(literal 25 binary64) (pow.f64 x #s(literal 8 binary64)))
(*.f64 #s(literal 25 binary64) (pow.f64 x #s(literal 8 binary64)))
(*.f64 #s(literal 25 binary64) (pow.f64 x #s(literal 8 binary64)))
(*.f64 #s(literal 25 binary64) (pow.f64 x #s(literal 8 binary64)))
(*.f64 #s(literal 25 binary64) (pow.f64 x #s(literal 8 binary64)))
(*.f64 #s(literal 25 binary64) (pow.f64 x #s(literal 8 binary64)))
(*.f64 #s(literal 25 binary64) (pow.f64 x #s(literal 8 binary64)))
(*.f64 #s(literal 25 binary64) (pow.f64 x #s(literal 8 binary64)))
(*.f64 #s(literal 25 binary64) (pow.f64 x #s(literal 8 binary64)))
(*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))
(*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))
(*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))
(*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))
(*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))
(*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))
(*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))
(*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))
(*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))
(*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))
(*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))
(*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))
(*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))
(*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))
(*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))
(*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))
(*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))
(*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))
(*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))
(*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))
(*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))
(*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))
(*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))
(*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) (cbrt.f64 #s(literal 5 binary64)))
(*.f64 (cbrt.f64 (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) (cbrt.f64 #s(literal 5 binary64)))
(*.f64 (cbrt.f64 (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) (cbrt.f64 #s(literal 5 binary64)))
(*.f64 (cbrt.f64 (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) (cbrt.f64 #s(literal 5 binary64)))
(*.f64 (cbrt.f64 (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) (cbrt.f64 #s(literal 5 binary64)))
(*.f64 (cbrt.f64 (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) (cbrt.f64 #s(literal 5 binary64)))
(*.f64 (cbrt.f64 (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) (cbrt.f64 #s(literal 5 binary64)))
(*.f64 (cbrt.f64 (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) (cbrt.f64 #s(literal 5 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) (cbrt.f64 #s(literal -5 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) (cbrt.f64 #s(literal -5 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) (cbrt.f64 #s(literal -5 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) (cbrt.f64 #s(literal -5 binary64))))
(*.f64 (cbrt.f64 (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) (cbrt.f64 #s(literal 5 binary64)))
(*.f64 (cbrt.f64 (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) (cbrt.f64 #s(literal 5 binary64)))
(*.f64 (cbrt.f64 (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) (cbrt.f64 #s(literal 5 binary64)))
(*.f64 (cbrt.f64 (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) (cbrt.f64 #s(literal 5 binary64)))
(*.f64 (cbrt.f64 (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) (cbrt.f64 #s(literal 5 binary64)))
(*.f64 (cbrt.f64 (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) (cbrt.f64 #s(literal 5 binary64)))
(*.f64 (cbrt.f64 (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) (cbrt.f64 #s(literal 5 binary64)))
(*.f64 (cbrt.f64 (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) (cbrt.f64 #s(literal 5 binary64)))
(*.f64 (cbrt.f64 (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) (cbrt.f64 #s(literal 5 binary64)))
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(*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (*.f64 eps (cbrt.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 25 binary64)))) (cbrt.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (*.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 5 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 5 binary64))))
(*.f64 (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (cbrt.f64 eps))
(*.f64 (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 eps)) (sqrt.f64 eps))
(sqrt.f64 (pow.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 5 binary64)) eps))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 25 binary64)) #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 25 binary64)) #s(literal 3/2 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))))
(exp.f64 (log.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 1 binary64)))
(+.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (neg.f64 (pow.f64 x #s(literal 5 binary64))))
(+.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) #s(literal 1 binary64)))
(+.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))
(+.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x #s(literal 5 binary64)))) (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (pow.f64 x #s(literal 5 binary64))))
(+.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (neg.f64 (pow.f64 x #s(literal 5/2 binary64))) (pow.f64 x #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5 binary64))))
(+.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (pow.f64 (+.f64 eps x) #s(literal 5 binary64)))
(*.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))
(*.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(*.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 15 binary64)) (pow.f64 x #s(literal 15 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 5 binary64)))))
(*.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(*.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 5 binary64))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 15 binary64)) (pow.f64 x #s(literal 15 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64)))))
(/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 15 binary64)) (pow.f64 x #s(literal 15 binary64))) (+.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 5 binary64))))
(/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64))) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 15 binary64)) (pow.f64 x #s(literal 15 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 5 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64)))) (neg.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 15 binary64)) (pow.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (-.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (neg.f64 (pow.f64 x #s(literal 5 binary64)))) (*.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (neg.f64 (pow.f64 x #s(literal 5 binary64)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (neg.f64 (pow.f64 x #s(literal 5 binary64))))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (neg.f64 (pow.f64 x #s(literal 5 binary64)))))
(pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(exp.f64 (log.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) (neg.f64 (pow.f64 x #s(literal 5 binary64))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (neg.f64 (pow.f64 x #s(literal 5 binary64))))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64))) (cbrt.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) (neg.f64 (pow.f64 x #s(literal 5 binary64))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)))
(*.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 eps x) #s(literal 5 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) (cbrt.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) (*.f64 (cbrt.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64))) (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64))) (cbrt.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64))))
(*.f64 (pow.f64 (+.f64 eps x) #s(literal 5/4 binary64)) (*.f64 (pow.f64 (+.f64 eps x) #s(literal 5/4 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 eps x)) #s(literal 2 binary64)) #s(literal 5 binary64)) (pow.f64 (cbrt.f64 (+.f64 eps x)) #s(literal 5 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 eps x)) #s(literal 5 binary64)) (pow.f64 (sqrt.f64 (+.f64 eps x)) #s(literal 5 binary64)))
(*.f64 (*.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5/4 binary64))) (pow.f64 (+.f64 eps x) #s(literal 5/4 binary64)))
(*.f64 (*.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) (cbrt.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)))) (cbrt.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64))))
(sqrt.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)))
(log.f64 (exp.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 eps x) #s(literal 15 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64))))
(exp.f64 (*.f64 #s(literal 5 binary64) (log.f64 (+.f64 eps x))))
(exp.f64 (*.f64 (log.f64 (+.f64 eps x)) #s(literal 5 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 5 binary64) (log.f64 (+.f64 eps x))) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal 5 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) x))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 #s(literal 5 binary64) x))
(pow.f64 eps #s(literal 5 binary64))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(pow.f64 eps #s(literal 5 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal -5 binary64) (/.f64 x eps)) #s(literal 1 binary64))))
(neg.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal -5 binary64) (/.f64 x eps) #s(literal -1 binary64))))
(*.f64 (fma.f64 (/.f64 x eps) #s(literal -5 binary64) #s(literal -1 binary64)) (neg.f64 (pow.f64 eps #s(literal 5 binary64))))
(*.f64 (fma.f64 x (/.f64 #s(literal -5 binary64) eps) #s(literal -1 binary64)) (neg.f64 (pow.f64 eps #s(literal 5 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal -5 binary64) (/.f64 x eps)) #s(literal 1 binary64))))
(neg.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal -5 binary64) (/.f64 x eps) #s(literal -1 binary64))))
(*.f64 (fma.f64 (/.f64 x eps) #s(literal -5 binary64) #s(literal -1 binary64)) (neg.f64 (pow.f64 eps #s(literal 5 binary64))))
(*.f64 (fma.f64 x (/.f64 #s(literal -5 binary64) eps) #s(literal -1 binary64)) (neg.f64 (pow.f64 eps #s(literal 5 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal -5 binary64) (/.f64 x eps)) #s(literal 1 binary64))))
(neg.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal -5 binary64) (/.f64 x eps) #s(literal -1 binary64))))
(*.f64 (fma.f64 (/.f64 x eps) #s(literal -5 binary64) #s(literal -1 binary64)) (neg.f64 (pow.f64 eps #s(literal 5 binary64))))
(*.f64 (fma.f64 x (/.f64 #s(literal -5 binary64) eps) #s(literal -1 binary64)) (neg.f64 (pow.f64 eps #s(literal 5 binary64))))
(pow.f64 eps #s(literal 5 binary64))
(+.f64 (*.f64 #s(literal 5 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) x)) (pow.f64 eps #s(literal 5 binary64)))
(fma.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 #s(literal 5 binary64) x) (pow.f64 eps #s(literal 5 binary64)))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))
(+.f64 (*.f64 #s(literal 5 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) x)) (pow.f64 eps #s(literal 5 binary64)))
(fma.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 #s(literal 5 binary64) x) (pow.f64 eps #s(literal 5 binary64)))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))
(+.f64 (*.f64 #s(literal 5 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) x)) (pow.f64 eps #s(literal 5 binary64)))
(fma.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 #s(literal 5 binary64) x) (pow.f64 eps #s(literal 5 binary64)))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))
(*.f64 #s(literal 5 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) x))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 #s(literal 5 binary64) x))
(*.f64 x (+.f64 (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64))) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)))
(*.f64 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)))
(*.f64 x (+.f64 (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64))) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)))
(*.f64 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)))
(*.f64 x (+.f64 (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64))) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)))
(*.f64 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)))
(*.f64 #s(literal 5 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) x))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 #s(literal 5 binary64) x))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -5 binary64) (pow.f64 eps #s(literal 4 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)))))
(neg.f64 (*.f64 x (fma.f64 #s(literal -5 binary64) (pow.f64 eps #s(literal 4 binary64)) (neg.f64 (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)))))
(*.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -5 binary64)) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -5 binary64) (pow.f64 eps #s(literal 4 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)))))
(neg.f64 (*.f64 x (fma.f64 #s(literal -5 binary64) (pow.f64 eps #s(literal 4 binary64)) (neg.f64 (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)))))
(*.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -5 binary64)) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -5 binary64) (pow.f64 eps #s(literal 4 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)))))
(neg.f64 (*.f64 x (fma.f64 #s(literal -5 binary64) (pow.f64 eps #s(literal 4 binary64)) (neg.f64 (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)))))
(*.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -5 binary64)) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)) (neg.f64 x))
(*.f64 #s(literal 5 binary64) x)
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (/.f64 x eps))))
(*.f64 eps (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (/.f64 x eps))))
(*.f64 eps (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (/.f64 x eps))))
(*.f64 eps (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))
eps
(*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -5 binary64) (/.f64 x eps)) #s(literal 1 binary64))))
(neg.f64 (*.f64 eps (fma.f64 #s(literal -5 binary64) (/.f64 x eps) #s(literal -1 binary64))))
(*.f64 (fma.f64 (/.f64 x eps) #s(literal -5 binary64) #s(literal -1 binary64)) (neg.f64 eps))
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(*.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64)))))
(/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64))) (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))))
(*.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64))))
(*.f64 (+.f64 (pow.f64 x #s(literal 5/2 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 5 binary64))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 15 binary64)) (pow.f64 x #s(literal 15 binary64)))))
(*.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 15 binary64)) (pow.f64 x #s(literal 15 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (+.f64 (pow.f64 x #s(literal 10 binary64)) (pow.f64 (*.f64 x (+.f64 eps x)) #s(literal 5 binary64))))))
(/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 15 binary64)) (pow.f64 x #s(literal 15 binary64))) (+.f64 (pow.f64 (*.f64 x (+.f64 eps x)) #s(literal 5 binary64)) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64)))))
(*.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64)))))
(/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64))) (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))))
(/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 15 binary64)) (pow.f64 x #s(literal 15 binary64))) (+.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 5 binary64))))
(*.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 15 binary64)) (pow.f64 x #s(literal 15 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (+.f64 (pow.f64 x #s(literal 10 binary64)) (pow.f64 (*.f64 x (+.f64 eps x)) #s(literal 5 binary64))))))
(/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 15 binary64)) (pow.f64 x #s(literal 15 binary64))) (+.f64 (pow.f64 (*.f64 x (+.f64 eps x)) #s(literal 5 binary64)) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64)))))
(/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64))) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))
(*.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64)))))
(/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64))) (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 15 binary64)) (pow.f64 x #s(literal 15 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 5 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 15 binary64)) (pow.f64 x #s(literal 15 binary64)))) (neg.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (+.f64 (pow.f64 x #s(literal 10 binary64)) (pow.f64 (*.f64 x (+.f64 eps x)) #s(literal 5 binary64))))))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 15 binary64)) (pow.f64 x #s(literal 15 binary64))) (+.f64 (pow.f64 (*.f64 x (+.f64 eps x)) #s(literal 5 binary64)) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64)))) (neg.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64))) (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 15 binary64)) (pow.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (-.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (neg.f64 (pow.f64 x #s(literal 5 binary64)))) (*.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (neg.f64 (pow.f64 x #s(literal 5 binary64)))))))
(/.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 15 binary64)) (pow.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))))))
(/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 15 binary64)) (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) (pow.f64 (+.f64 eps x) #s(literal 10 binary64)))))
(/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (neg.f64 (pow.f64 x #s(literal 5 binary64))))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (neg.f64 (pow.f64 x #s(literal 5 binary64)))))
(*.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64)))))
(/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64))) (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))))
(pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 1 binary64))
(-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))) #s(literal 3 binary64))
(-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
(pow.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))) #s(literal 2 binary64))
(-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 2 binary64)))
(fabs.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))
(log.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))))
(-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 3 binary64)))
(-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
(exp.f64 (log.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1 binary64)))
(-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
(fma.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) (neg.f64 (pow.f64 x #s(literal 5 binary64))))
(-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (neg.f64 (pow.f64 x #s(literal 5 binary64))))
(-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64))) (cbrt.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) (neg.f64 (pow.f64 x #s(literal 5 binary64))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64))))
(*.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)))
(pow.f64 (+.f64 eps x) #s(literal 5 binary64))
(*.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) #s(literal 1 binary64))
(pow.f64 (+.f64 eps x) #s(literal 5 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 eps x) #s(literal 5 binary64)))
(pow.f64 (+.f64 eps x) #s(literal 5 binary64))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) (cbrt.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64))) (cbrt.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) (*.f64 (cbrt.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64))) (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) (*.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) (cbrt.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)))))
(*.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) (*.f64 (cbrt.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) (cbrt.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64))) (cbrt.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64))))
(*.f64 (pow.f64 (+.f64 eps x) #s(literal 5/4 binary64)) (*.f64 (pow.f64 (+.f64 eps x) #s(literal 5/4 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64))))
(pow.f64 (+.f64 eps x) #s(literal 5 binary64))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 eps x)) #s(literal 2 binary64)) #s(literal 5 binary64)) (pow.f64 (cbrt.f64 (+.f64 eps x)) #s(literal 5 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 eps x)) #s(literal 5 binary64)) (pow.f64 (sqrt.f64 (+.f64 eps x)) #s(literal 5 binary64)))
(pow.f64 (sqrt.f64 (+.f64 eps x)) #s(literal 10 binary64))
(*.f64 (*.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5/4 binary64))) (pow.f64 (+.f64 eps x) #s(literal 5/4 binary64)))
(pow.f64 (+.f64 eps x) #s(literal 5 binary64))
(*.f64 (*.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) (cbrt.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)))) (cbrt.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) (*.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) (cbrt.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)))))
(*.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) (*.f64 (cbrt.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) (cbrt.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)))))
(sqrt.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)))
(log.f64 (exp.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64))))
(pow.f64 (+.f64 eps x) #s(literal 5 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)))))
(pow.f64 (+.f64 eps x) #s(literal 5 binary64))
(cbrt.f64 (pow.f64 (+.f64 eps x) #s(literal 15 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64))))
(pow.f64 (+.f64 eps x) #s(literal 5 binary64))
(exp.f64 (*.f64 #s(literal 5 binary64) (log.f64 (+.f64 eps x))))
(pow.f64 (+.f64 eps x) #s(literal 5 binary64))
(exp.f64 (*.f64 (log.f64 (+.f64 eps x)) #s(literal 5 binary64)))
(pow.f64 (+.f64 eps x) #s(literal 5 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 5 binary64) (log.f64 (+.f64 eps x))) #s(literal 1 binary64)))
(pow.f64 (+.f64 eps x) #s(literal 5 binary64))

eval231.0ms (3.7%)

Compiler

Compiled 14390 to 2778 computations (80.7% saved)

prune103.0ms (1.6%)

Pruning

9 alts after pruning (0 fresh and 9 done)

PrunedKeptTotal
New7070707
Fresh000
Picked055
Done044
Total7079716
Accuracy
100.0%
Counts
716 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
80.9%
(pow.f64 (cbrt.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))) #s(literal 3 binary64))
90.8%
(pow.f64 eps #s(literal 5 binary64))
44.6%
(-.f64 (pow.f64 (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 5 binary64)))
91.0%
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
81.0%
(*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 5 binary64) eps))
90.8%
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 eps (*.f64 #s(literal 5 binary64) x)))
81.1%
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
79.9%
(*.f64 eps (sqrt.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 25 binary64))))
81.0%
(*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))
Compiler

Compiled 188 to 109 computations (42% saved)

regimes13.0ms (0.2%)

Counts
11 → 3
Calls
Call 1
Inputs
(pow.f64 eps #s(literal 5 binary64))
(*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 5 binary64) eps))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 eps (*.f64 #s(literal 5 binary64) x)))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (/.f64 x eps))))
(*.f64 eps (sqrt.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 25 binary64))))
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))) #s(literal 3 binary64))
(-.f64 (pow.f64 (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 5 binary64)))
(-.f64 (*.f64 (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64)) (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64))) (pow.f64 x #s(literal 5 binary64)))
Outputs
(pow.f64 eps #s(literal 5 binary64))
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Calls

3 calls:

4.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
4.0ms
eps
4.0ms
x
Results
AccuracySegmentsBranch
99.1%3x
99.4%3eps
99.9%3(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes3.0ms (0.1%)

Counts
7 → 3
Calls
Call 1
Inputs
(pow.f64 eps #s(literal 5 binary64))
(*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 5 binary64) eps))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 eps (*.f64 #s(literal 5 binary64) x)))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (/.f64 x eps))))
(*.f64 eps (sqrt.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 25 binary64))))
Outputs
(pow.f64 eps #s(literal 5 binary64))
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (/.f64 x eps))))
Calls

1 calls:

3.0ms
eps
Results
AccuracySegmentsBranch
99.3%3eps
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Counts
5 → 3
Calls
Call 1
Inputs
(pow.f64 eps #s(literal 5 binary64))
(*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 5 binary64) eps))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 eps (*.f64 #s(literal 5 binary64) x)))
Outputs
(pow.f64 eps #s(literal 5 binary64))
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 eps (*.f64 #s(literal 5 binary64) x)))
Calls

1 calls:

2.0ms
eps
Results
AccuracySegmentsBranch
99.2%3eps
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Counts
4 → 3
Calls
Call 1
Inputs
(pow.f64 eps #s(literal 5 binary64))
(*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 5 binary64) eps))
Outputs
(pow.f64 eps #s(literal 5 binary64))
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
(pow.f64 eps #s(literal 5 binary64))
Calls

1 calls:

2.0ms
eps
Results
AccuracySegmentsBranch
99.2%3eps
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes2.0ms (0%)

Counts
2 → 3
Calls
Call 1
Inputs
(pow.f64 eps #s(literal 5 binary64))
(*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))
Outputs
(pow.f64 eps #s(literal 5 binary64))
(*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))
(pow.f64 eps #s(literal 5 binary64))
Calls

1 calls:

2.0ms
eps
Results
AccuracySegmentsBranch
99.1%3eps
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(pow.f64 eps #s(literal 5 binary64))
Outputs
(pow.f64 eps #s(literal 5 binary64))
Calls

2 calls:

1.0ms
x
1.0ms
eps
Results
AccuracySegmentsBranch
90.8%1x
90.8%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
1.56948287946e-313
0.0ms
-3.35173121126e-313
-0.0
Compiler

Compiled 16 to 11 computations (31.3% saved)

bsearch36.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
1.8204762911806744e-62
2.521341649734188e-60
18.0ms
-3.199291680829366e-63
-6.443390632728313e-66
Results
20.0ms203×0valid
7.0ms37×1valid
Compiler

Compiled 312 to 241 computations (22.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-pow: 15.0ms (78.5% of total)
ival-add: 2.0ms (10.5% of total)
ival-sub: 1.0ms (5.2% of total)
backward-pass: 1.0ms (5.2% of total)
const: 0.0ms (0% of total)

bsearch35.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
1.8204762911806744e-62
2.521341649734188e-60
17.0ms
-3.199291680829366e-63
-6.443390632728313e-66
Results
20.0ms208×0valid
6.0ms32×1valid
Compiler

Compiled 298 to 234 computations (21.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-pow: 12.0ms (74.5% of total)
ival-add: 2.0ms (12.4% of total)
ival-sub: 1.0ms (6.2% of total)
backward-pass: 1.0ms (6.2% of total)
const: 0.0ms (0% of total)

bsearch37.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
1.8204762911806744e-62
2.521341649734188e-60
21.0ms
-3.199291680829366e-63
-6.443390632728313e-66
Results
17.0ms194×0valid
10.0ms46×1valid
Compiler

Compiled 256 to 206 computations (19.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-pow: 13.0ms (66.4% of total)
ival-sub: 3.0ms (15.3% of total)
ival-add: 2.0ms (10.2% of total)
backward-pass: 1.0ms (5.1% of total)
const: 0.0ms (0% of total)

bsearch68.0ms (1.1%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
49.0ms
1.8204762911806744e-62
2.521341649734188e-60
17.0ms
-3.199291680829366e-63
-6.443390632728313e-66
Results
52.0ms206×0valid
6.0ms34×1valid
Compiler

Compiled 256 to 206 computations (19.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 51.0ms
ival-add: 36.0ms (70.5% of total)
ival-pow: 12.0ms (23.5% of total)
ival-sub: 1.0ms (2% of total)
backward-pass: 1.0ms (2% of total)
const: 0.0ms (0% of total)

simplify9.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative
+-commutative
if-if-or-not
1-exp
sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055487
180487
284487
386487
487487
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -40480450661/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (pow.f64 eps #s(literal 5 binary64)) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) (*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(if (<=.f64 eps #s(literal -1408031805125765/7410693711188236507108543040556026102609279018600996098525285376506440296955904 binary64)) (pow.f64 eps #s(literal 5 binary64)) (if (<=.f64 eps #s(literal 4284307301780699/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64)) (*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (/.f64 x eps))))))
(if (<=.f64 eps #s(literal -5098557273297507/118571099379011784113736688648896417641748464297615937576404566024103044751294464 binary64)) (pow.f64 eps #s(literal 5 binary64)) (if (<=.f64 eps #s(literal 4284307301780699/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64)) (*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 eps (*.f64 #s(literal 5 binary64) x)))))
(if (<=.f64 eps #s(literal -2223208113356471/14821387422376473014217086081112052205218558037201992197050570753012880593911808 binary64)) (pow.f64 eps #s(literal 5 binary64)) (if (<=.f64 eps #s(literal 4284307301780699/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64)) (*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 eps #s(literal 5 binary64))))
(if (<=.f64 eps #s(literal -8299976956530825/59285549689505892056868344324448208820874232148807968788202283012051522375647232 binary64)) (pow.f64 eps #s(literal 5 binary64)) (if (<=.f64 eps #s(literal 4284307301780699/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64)) (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) (pow.f64 eps #s(literal 5 binary64))))
(pow.f64 eps #s(literal 5 binary64))
Outputs
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -40480450661/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (pow.f64 eps #s(literal 5 binary64)) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) (*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(if (<=.f64 eps #s(literal -1408031805125765/7410693711188236507108543040556026102609279018600996098525285376506440296955904 binary64)) (pow.f64 eps #s(literal 5 binary64)) (if (<=.f64 eps #s(literal 4284307301780699/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64)) (*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (/.f64 x eps))))))
(if (<=.f64 eps #s(literal -5098557273297507/118571099379011784113736688648896417641748464297615937576404566024103044751294464 binary64)) (pow.f64 eps #s(literal 5 binary64)) (if (<=.f64 eps #s(literal 4284307301780699/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64)) (*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 eps (*.f64 #s(literal 5 binary64) x)))))
(if (<=.f64 eps #s(literal -5098557273297507/118571099379011784113736688648896417641748464297615937576404566024103044751294464 binary64)) (pow.f64 eps #s(literal 5 binary64)) (if (<=.f64 eps #s(literal 4284307301780699/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64)) (*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 eps (*.f64 x #s(literal 5 binary64))))))
(if (<=.f64 eps #s(literal -2223208113356471/14821387422376473014217086081112052205218558037201992197050570753012880593911808 binary64)) (pow.f64 eps #s(literal 5 binary64)) (if (<=.f64 eps #s(literal 4284307301780699/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64)) (*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 eps #s(literal 5 binary64))))
(if (or (<=.f64 eps #s(literal -2223208113356471/14821387422376473014217086081112052205218558037201992197050570753012880593911808 binary64)) (not (<=.f64 eps #s(literal 4284307301780699/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64)))) (pow.f64 eps #s(literal 5 binary64)) (*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))
(if (<=.f64 eps #s(literal -8299976956530825/59285549689505892056868344324448208820874232148807968788202283012051522375647232 binary64)) (pow.f64 eps #s(literal 5 binary64)) (if (<=.f64 eps #s(literal 4284307301780699/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64)) (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) (pow.f64 eps #s(literal 5 binary64))))
(if (or (<=.f64 eps #s(literal -8299976956530825/59285549689505892056868344324448208820874232148807968788202283012051522375647232 binary64)) (not (<=.f64 eps #s(literal 4284307301780699/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64)))) (pow.f64 eps #s(literal 5 binary64)) (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64)))))
(pow.f64 eps #s(literal 5 binary64))

soundness191.0ms (3%)

Rules
413×fma-define
306×associate-+r+
293×fma-neg
285×distribute-rgt-in
282×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
061813155
1163712327
2535711146
Stop Event
done
node limit
Compiler

Compiled 233 to 85 computations (63.5% saved)

preprocess78.0ms (1.2%)

Compiler

Compiled 306 to 110 computations (64.1% saved)

end0.0ms (0%)

Profiling

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