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

Time bar (total: 3.7s)

analyze0.0ms (0%)

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

Compiled 26 to 18 computations (30.8% saved)

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

sample1.9s (51.2%)

Results
717.0ms5195×0valid
594.0ms2499×1valid
136.0ms562×2valid
Precisions
Click to see histograms. Total time spent on operations: 1.0s
ival-pow: 421.0ms (41.7% of total)
ival-add: 229.0ms (22.7% of total)
ival-<=: 154.0ms (15.3% of total)
ival-sub: 80.0ms (7.9% of total)
backward-pass: 74.0ms (7.3% of total)
const: 26.0ms (2.6% of total)
ival-and: 25.0ms (2.5% of total)
Bogosity

preprocess196.0ms (5.3%)

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

Useful iterations: 4 (0.0ms)

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

explain107.0ms (2.9%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
702(-5.4158182256170944e-158 -1.5013840749575047e-164)0-(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
00-0-x
091(8.150629334912255e-261 5.379480775530115e-42)0-(pow.f64 (+.f64 x eps) #s(literal 2 binary64))
00-0-(+.f64 x eps)
00-0-#s(literal 2 binary64)
00-0-(pow.f64 x #s(literal 2 binary64))
00-0-eps
Results
31.0ms316×0valid
29.0ms156×1valid
11.0ms40×2valid
Compiler

Compiled 63 to 23 computations (63.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-pow: 16.0ms (43.4% of total)
ival-add: 10.0ms (27.1% of total)
backward-pass: 5.0ms (13.6% of total)
ival-sub: 4.0ms (10.8% of total)
const: 1.0ms (2.7% of total)

eval0.0ms (0%)

Compiler

Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

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

Compiled 9 to 6 computations (33.3% saved)

localize30.0ms (0.8%)

Algorithm
1×egg-herbie
Localize:

Found 6 expressions of interest:

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01166
11958
23458
34458
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))
eps
(+.f64 eps (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
Outputs
(*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
eps
(+.f64 eps (*.f64 x #s(literal 2 binary64)))
(fma.f64 x #s(literal 2 binary64) eps)
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
Results
16.0ms256×0valid
Compiler

Compiled 21 to 7 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 4.0ms (63.9% of total)
ival-add: 1.0ms (16% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series7.0ms (0.2%)

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

15 calls:

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

rewrite199.0ms (5.4%)

Algorithm
1×batch-egg-rewrite
Rules
893×prod-diff
606×log1p-expm1-u
606×expm1-log1p-u
567×unpow-prod-down
307×log-prod
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01157
112049
2166849
Stop Event
1×node limit
Counts
3 → 149
Calls
Call 1
Inputs
(*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))
(*.f64 x #s(literal 2 binary64))
(+.f64 eps (*.f64 x #s(literal 2 binary64)))
Outputs
(+.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(+.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (pow.f64 eps #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 x #s(literal 2 binary64) eps))) (cbrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 x #s(literal 2 binary64) eps))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 x #s(literal 2 binary64) eps)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 x #s(literal 2 binary64) eps)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 x #s(literal 2 binary64) eps)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 eps #s(literal 6 binary64)) (*.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 eps (*.f64 x #s(literal 2 binary64)))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 eps (*.f64 x #s(literal 2 binary64)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (*.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 eps (*.f64 x #s(literal 2 binary64))))) (-.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 eps (*.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 eps (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 2 binary64)) eps) (pow.f64 eps #s(literal 2 binary64))))
(/.f64 (*.f64 eps (-.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))) (+.f64 eps (*.f64 #s(literal -2 binary64) x)))
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64))) eps) (fma.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 2 binary64)) eps) (pow.f64 eps #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) eps) (+.f64 eps (*.f64 #s(literal -2 binary64) x)))
(pow.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 eps) (fma.f64 x #s(literal 2 binary64) eps)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)))))
(log.f64 (*.f64 (exp.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64)))) (exp.f64 (pow.f64 eps #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)))) #s(literal 2 binary64)))
(fma.f64 eps eps (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 eps (*.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 x (*.f64 #s(literal 2 binary64) eps) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (*.f64 x #s(literal 2 binary64)) eps (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 x #s(literal 2 binary64))) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) eps) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (*.f64 (cbrt.f64 eps) eps) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (*.f64 (cbrt.f64 eps) (*.f64 x #s(literal 2 binary64))) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) eps) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) eps) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (*.f64 x #s(literal 2 binary64))) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64)))) (cbrt.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))))) (cbrt.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64)))) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (*.f64 eps (sqrt.f64 eps)) (sqrt.f64 eps) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64)))) (sqrt.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64)))) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 eps)) (*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 eps)) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 (sqrt.f64 eps) (sqrt.f64 (*.f64 x #s(literal 2 binary64)))) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (*.f64 eps (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (cbrt.f64 eps) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (cbrt.f64 eps) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 eps)) (sqrt.f64 eps) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (*.f64 eps x) #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (*.f64 eps #s(literal 2 binary64)) x (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (*.f64 eps (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))) (cbrt.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (*.f64 eps (sqrt.f64 (*.f64 x #s(literal 2 binary64)))) (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 eps #s(literal 2 binary64)))
(+.f64 x x)
(+.f64 #s(literal 0 binary64) (*.f64 x #s(literal 2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))))
(exp.f64 (log.f64 (*.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 eps (*.f64 #s(literal -2 binary64) x))) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (+.f64 eps (*.f64 #s(literal -2 binary64) x))))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1 binary64))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) eps)) (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) eps)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) eps)) (pow.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) eps)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x #s(literal 2 binary64) eps)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) eps)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) eps)) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) eps)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 2 binary64)) eps) (pow.f64 eps #s(literal 2 binary64)))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 2 binary64)) eps) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 eps (*.f64 #s(literal -2 binary64) x))))
(*.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps (*.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) eps)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) eps))) (cbrt.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) eps)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (fma.f64 x #s(literal 2 binary64) eps)))
(*.f64 (pow.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) eps)) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) eps)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 2 binary64)) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) eps)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) eps)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 2 binary64)) eps) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 eps (*.f64 #s(literal -2 binary64) x)) (-.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 2 binary64)) eps) (pow.f64 eps #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (+.f64 eps (*.f64 #s(literal -2 binary64) x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 2 binary64)) eps) (pow.f64 eps #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))) (neg.f64 (+.f64 eps (*.f64 #s(literal -2 binary64) x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 eps #s(literal 2 binary64))) (-.f64 (*.f64 x #s(literal 2 binary64)) eps))
(pow.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) eps)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) eps)) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 2 binary64)) eps) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 eps (*.f64 #s(literal -2 binary64) x)) (-.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x #s(literal 2 binary64) eps)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x #s(literal 2 binary64) eps))))
(log.f64 (*.f64 (exp.f64 eps) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 2 binary64))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 eps)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 eps)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 2 binary64))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (expm1.f64 eps))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (exp.f64 eps)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 eps))))
(cbrt.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x #s(literal 2 binary64) eps)))
(log1p.f64 (expm1.f64 (fma.f64 x #s(literal 2 binary64) eps)))
(exp.f64 (log.f64 (fma.f64 x #s(literal 2 binary64) eps)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x #s(literal 2 binary64) eps)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 2 binary64)))
(fma.f64 eps #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64)))
(fma.f64 x #s(literal 2 binary64) eps)
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) eps)
(fma.f64 #s(literal 1 binary64) eps (*.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64)) eps)
(fma.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) eps)
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (cbrt.f64 (*.f64 x #s(literal 2 binary64))) eps)
(fma.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 eps) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 2 binary64)) eps)
(fma.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 (*.f64 x #s(literal 2 binary64))) eps)
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) eps)
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) eps)
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x) eps)

simplify107.0ms (2.9%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
03805726
18255570
223565465
Stop Event
1×node limit
Counts
209 → 203
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(pow.f64 eps #s(literal 2 binary64))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(pow.f64 eps #s(literal 2 binary64))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(pow.f64 eps #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(*.f64 #s(literal 2 binary64) x)
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(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 eps #s(literal 2 binary64))) (-.f64 (*.f64 x #s(literal 2 binary64)) eps))
(pow.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) eps)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) eps)) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 2 binary64)) eps) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 eps (*.f64 #s(literal -2 binary64) x)) (-.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x #s(literal 2 binary64) eps)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x #s(literal 2 binary64) eps))))
(log.f64 (*.f64 (exp.f64 eps) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 2 binary64))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 eps)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 eps)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 2 binary64))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (expm1.f64 eps))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (exp.f64 eps)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 eps))))
(cbrt.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x #s(literal 2 binary64) eps)))
(log1p.f64 (expm1.f64 (fma.f64 x #s(literal 2 binary64) eps)))
(exp.f64 (log.f64 (fma.f64 x #s(literal 2 binary64) eps)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x #s(literal 2 binary64) eps)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 2 binary64)))
(fma.f64 eps #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64)))
(fma.f64 x #s(literal 2 binary64) eps)
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) eps)
(fma.f64 #s(literal 1 binary64) eps (*.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64)) eps)
(fma.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) eps)
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (cbrt.f64 (*.f64 x #s(literal 2 binary64))) eps)
(fma.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 eps) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 2 binary64)) eps)
(fma.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 (*.f64 x #s(literal 2 binary64))) eps)
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) eps)
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) eps)
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x) eps)
Outputs
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(pow.f64 eps #s(literal 2 binary64))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(pow.f64 eps #s(literal 2 binary64))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(pow.f64 eps #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 x (fma.f64 #s(literal 2 binary64) eps (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 x (fma.f64 #s(literal 2 binary64) eps (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 x (fma.f64 #s(literal 2 binary64) eps (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(*.f64 x (fma.f64 #s(literal 2 binary64) eps (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(*.f64 x (fma.f64 #s(literal 2 binary64) eps (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(*.f64 x (fma.f64 #s(literal 2 binary64) eps (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(+.f64 eps (*.f64 #s(literal 2 binary64) x))
(fma.f64 #s(literal 2 binary64) x eps)
(+.f64 eps (*.f64 #s(literal 2 binary64) x))
(fma.f64 #s(literal 2 binary64) x eps)
(+.f64 eps (*.f64 #s(literal 2 binary64) x))
(fma.f64 #s(literal 2 binary64) x eps)
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))
eps
(*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x eps)) #s(literal 1 binary64))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x eps)) #s(literal 1 binary64))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x eps)) #s(literal 1 binary64))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))
eps
(+.f64 eps (*.f64 #s(literal 2 binary64) x))
(fma.f64 #s(literal 2 binary64) x eps)
(+.f64 eps (*.f64 #s(literal 2 binary64) x))
(fma.f64 #s(literal 2 binary64) x eps)
(+.f64 eps (*.f64 #s(literal 2 binary64) x))
(fma.f64 #s(literal 2 binary64) x eps)
(*.f64 #s(literal 2 binary64) x)
(*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
(*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
(*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 2 binary64))))
(neg.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 eps x) #s(literal -2 binary64))))
(*.f64 x (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 eps x) #s(literal -2 binary64))))
(*.f64 (-.f64 #s(literal -2 binary64) (/.f64 eps x)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 2 binary64))))
(neg.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 eps x) #s(literal -2 binary64))))
(*.f64 x (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 eps x) #s(literal -2 binary64))))
(*.f64 (-.f64 #s(literal -2 binary64) (/.f64 eps x)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 2 binary64))))
(neg.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 eps x) #s(literal -2 binary64))))
(*.f64 x (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 eps x) #s(literal -2 binary64))))
(*.f64 (-.f64 #s(literal -2 binary64) (/.f64 eps x)) (neg.f64 x))
(+.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(+.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(+.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(+.f64 #s(literal 0 binary64) (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 x #s(literal 2 binary64) eps))) (cbrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 x #s(literal 2 binary64) eps))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 x #s(literal 2 binary64) eps)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 #s(literal 2 binary64) x eps))) (cbrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 #s(literal 2 binary64) x eps))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 #s(literal 2 binary64) x eps)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 x #s(literal 2 binary64) eps)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 x #s(literal 2 binary64) eps)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 #s(literal 2 binary64) x eps)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)))) #s(literal 1 binary64))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(/.f64 (+.f64 (pow.f64 eps #s(literal 6 binary64)) (*.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 eps (*.f64 x #s(literal 2 binary64)))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 eps (*.f64 x #s(literal 2 binary64)))))))
(/.f64 (+.f64 (pow.f64 eps #s(literal 6 binary64)) (*.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64))) (+.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 6 binary64))) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 eps x) (*.f64 eps (-.f64 (*.f64 #s(literal 2 binary64) x) eps)))) (pow.f64 eps #s(literal 4 binary64))))
(/.f64 (fma.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 6 binary64))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 eps (fma.f64 x #s(literal -2 binary64) eps)))))
(/.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (*.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 eps (*.f64 x #s(literal 2 binary64))))) (-.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 eps (*.f64 x #s(literal 2 binary64)))))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(/.f64 (*.f64 eps (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 2 binary64)) eps) (pow.f64 eps #s(literal 2 binary64))))
(*.f64 eps (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (*.f64 #s(literal 2 binary64) x) eps) (pow.f64 eps #s(literal 2 binary64)))))
(*.f64 eps (/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (*.f64 #s(literal 2 binary64) x) eps) (pow.f64 eps #s(literal 2 binary64)))))
(*.f64 eps (/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 eps (fma.f64 x #s(literal -2 binary64) eps)))))
(/.f64 (*.f64 eps (-.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))) (+.f64 eps (*.f64 #s(literal -2 binary64) x)))
(*.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 eps (+.f64 eps (*.f64 x #s(literal -2 binary64)))))
(*.f64 (fma.f64 eps eps (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -4 binary64))) (/.f64 eps (fma.f64 x #s(literal -2 binary64) eps)))
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(fma.f64 #s(literal 2 binary64) x eps)
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(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) eps)
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (cbrt.f64 (*.f64 x #s(literal 2 binary64))) eps)
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(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) eps)
(fma.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) x eps)
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(fma.f64 #s(literal 2 binary64) x eps)
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(fma.f64 #s(literal 2 binary64) x eps)
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(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (*.f64 x #s(literal 2 binary64)))
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(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) eps)
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) eps)
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x) eps)
(fma.f64 #s(literal 2 binary64) x eps)

eval23.0ms (0.6%)

Compiler

Compiled 2842 to 631 computations (77.8% saved)

prune25.0ms (0.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New2012203
Fresh000
Picked011
Done000
Total2013204
Accuracy
100.0%
Counts
204 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))
▶75.9%
(*.f64 eps eps)
▶61.1%
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
Compiler

Compiled 21 to 14 computations (33.3% saved)

localize40.0ms (1.1%)

Algorithm
1×egg-herbie
Localize:

Found 6 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01158
11558
22258
32458
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
#s(literal 2 binary64)
(*.f64 eps x)
eps
x
(*.f64 eps eps)
eps
Outputs
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 eps (*.f64 x #s(literal 2 binary64)))
#s(literal 2 binary64)
(*.f64 eps x)
eps
x
(*.f64 eps eps)
eps
Results
16.0ms256×0valid
Compiler

Compiled 18 to 7 computations (61.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 6.0ms (97.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series8.0ms (0.2%)

Counts
3 → 12
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<alt (*.f64 eps x)>
#<alt (*.f64 eps eps)>
Outputs
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
Calls

15 calls:

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

rewrite75.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
475×unpow-prod-down
419×log1p-expm1-u
419×expm1-log1p-u
400×add-exp-log
385×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01142
110742
2121242
Stop Event
1×node limit
Counts
3 → 67
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 eps x)
(*.f64 eps eps)
Outputs
(+.f64 (*.f64 eps x) (*.f64 eps x))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (*.f64 eps x)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) #s(literal 4 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) #s(literal 2 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) #s(literal 2 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) #s(literal 2 binary64)))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 eps x))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x))) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x))))) (sqrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)))))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) #s(literal 2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 eps x))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) x))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps x)) #s(literal 1 binary64))
(pow.f64 (*.f64 eps x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps x)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 eps x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 eps x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 eps x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 eps x)))) (sqrt.f64 (log.f64 (*.f64 eps x))))
(sqrt.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 eps) x))
(cbrt.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 eps x)))
(log1p.f64 (expm1.f64 (*.f64 eps x)))
(exp.f64 (log.f64 (*.f64 eps x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 eps x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 eps x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 eps x))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 eps #s(literal 2 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 eps #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 eps #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 eps #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 eps #s(literal 2 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 eps) #s(literal 6 binary64))
(pow.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 2/3 binary64))
(pow.f64 (sqrt.f64 eps) #s(literal 4 binary64))
(pow.f64 (E.f64) (*.f64 #s(literal 2 binary64) (log.f64 eps)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 eps))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 eps)) #s(literal 2 binary64)))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 eps))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 eps)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 eps))))
(sqrt.f64 (pow.f64 eps #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 eps #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 eps #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 eps #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 eps)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 eps))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 eps #s(literal 6 binary64))) #s(literal 1/3 binary64)))

simplify102.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
887×prod-exp
430×fma-neg
347×associate-+r-
325×*-commutative
266×associate-+l-
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01714294968839
12924294968833
26134294968833
321274294968833
440084294968821
578604294968821
Stop Event
1×node limit
Counts
79 → 87
Calls
Call 1
Inputs
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(+.f64 (*.f64 eps x) (*.f64 eps x))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (*.f64 eps x)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) #s(literal 4 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) #s(literal 2 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) #s(literal 2 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) #s(literal 2 binary64)))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 eps x))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x))) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x))))) (sqrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)))))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) #s(literal 2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 eps x))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) x))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps x)) #s(literal 1 binary64))
(pow.f64 (*.f64 eps x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps x)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 eps x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 eps x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 eps x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 eps x)))) (sqrt.f64 (log.f64 (*.f64 eps x))))
(sqrt.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 eps) x))
(cbrt.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 eps x)))
(log1p.f64 (expm1.f64 (*.f64 eps x)))
(exp.f64 (log.f64 (*.f64 eps x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 eps x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 eps x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 eps x))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 eps #s(literal 2 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 eps #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 eps #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 eps #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 eps #s(literal 2 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 eps) #s(literal 6 binary64))
(pow.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 2/3 binary64))
(pow.f64 (sqrt.f64 eps) #s(literal 4 binary64))
(pow.f64 (E.f64) (*.f64 #s(literal 2 binary64) (log.f64 eps)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 eps))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 eps)) #s(literal 2 binary64)))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 eps))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 eps)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 eps))))
(sqrt.f64 (pow.f64 eps #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 eps #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 eps #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 eps #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 eps)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 eps))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 eps #s(literal 6 binary64))) #s(literal 1/3 binary64)))
Outputs
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(+.f64 (*.f64 eps x) (*.f64 eps x))
(*.f64 (*.f64 #s(literal 2 binary64) eps) x)
(*.f64 eps (*.f64 x #s(literal 2 binary64)))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (*.f64 eps x)))
(*.f64 (*.f64 #s(literal 2 binary64) eps) x)
(*.f64 eps (*.f64 x #s(literal 2 binary64)))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) #s(literal 4 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) #s(literal 2 binary64)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) #s(literal 4 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) (*.f64 #s(literal 2 binary64) x)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) #s(literal 4 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) eps) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) #s(literal 2 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (log.f64 (fabs.f64 (pow.f64 (exp.f64 eps) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 eps x))) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) eps) x)
(*.f64 eps (*.f64 x #s(literal 2 binary64)))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) eps) x)
(*.f64 eps (*.f64 x #s(literal 2 binary64)))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x))) #s(literal 3 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) eps) x)
(*.f64 eps (*.f64 x #s(literal 2 binary64)))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(pow.f64 (*.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 eps x) #s(literal 2 binary64))))
(fabs.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)))
(pow.f64 (*.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 1/3 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) eps) x)
(*.f64 eps (*.f64 x #s(literal 2 binary64)))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x))) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) eps) x)
(*.f64 eps (*.f64 x #s(literal 2 binary64)))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(pow.f64 (E.f64) (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x))))
(*.f64 (*.f64 #s(literal 2 binary64) eps) x)
(*.f64 eps (*.f64 x #s(literal 2 binary64)))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x))) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x)) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x))))) (sqrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x)))) (sqrt.f64 (log.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64)))))) (sqrt.f64 (log.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x))))) (sqrt.f64 (log.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 4 binary64)))
(sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 eps x) #s(literal 2 binary64))))
(fabs.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) eps) x)
(*.f64 eps (*.f64 x #s(literal 2 binary64)))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) eps) x)
(*.f64 eps (*.f64 x #s(literal 2 binary64)))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x))))
(*.f64 (*.f64 #s(literal 2 binary64) eps) x)
(*.f64 eps (*.f64 x #s(literal 2 binary64)))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x))))
(*.f64 (*.f64 #s(literal 2 binary64) eps) x)
(*.f64 eps (*.f64 x #s(literal 2 binary64)))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x))))
(*.f64 (*.f64 #s(literal 2 binary64) eps) x)
(*.f64 eps (*.f64 x #s(literal 2 binary64)))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)))) #s(literal 3 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) eps) x)
(*.f64 eps (*.f64 x #s(literal 2 binary64)))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)))) #s(literal 1/3 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) eps) x)
(*.f64 eps (*.f64 x #s(literal 2 binary64)))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)))) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) eps) x)
(*.f64 eps (*.f64 x #s(literal 2 binary64)))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(+.f64 #s(literal 0 binary64) (*.f64 eps x))
(*.f64 eps x)
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) x))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) x))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) x))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) (*.f64 #s(literal 2 binary64) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) x))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) eps) x))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps x)) #s(literal 1 binary64))
(*.f64 eps x)
(pow.f64 (*.f64 eps x) #s(literal 1 binary64))
(*.f64 eps x)
(pow.f64 (cbrt.f64 (*.f64 eps x)) #s(literal 3 binary64))
(*.f64 eps x)
(pow.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 eps x)
(pow.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 eps x)
(pow.f64 (sqrt.f64 (*.f64 eps x)) #s(literal 2 binary64))
(*.f64 eps x)
(pow.f64 (E.f64) (log.f64 (*.f64 eps x)))
(*.f64 eps x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 eps x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 eps x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 eps x)))) (sqrt.f64 (log.f64 (*.f64 eps x))))
(sqrt.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)))
(*.f64 eps x)
(log.f64 (pow.f64 (exp.f64 eps) x))
(*.f64 eps x)
(cbrt.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)))
(*.f64 eps x)
(expm1.f64 (log1p.f64 (*.f64 eps x)))
(*.f64 eps x)
(log1p.f64 (expm1.f64 (*.f64 eps x)))
(*.f64 eps x)
(exp.f64 (log.f64 (*.f64 eps x)))
(*.f64 eps x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 eps x))) #s(literal 3 binary64)))
(*.f64 eps x)
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 eps x))) #s(literal 1/3 binary64)))
(*.f64 eps x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 eps x))) #s(literal 2 binary64)))
(*.f64 eps x)
(+.f64 #s(literal 0 binary64) (pow.f64 eps #s(literal 2 binary64)))
(pow.f64 eps #s(literal 2 binary64))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 eps #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 eps #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 eps #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 eps #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 eps #s(literal 2 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 (cbrt.f64 eps) #s(literal 6 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (pow.f64 eps #s(literal 4 binary64)))
(pow.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 eps #s(literal 6 binary64)))
(pow.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 2/3 binary64))
(pow.f64 (sqrt.f64 eps) #s(literal 4 binary64))
(pow.f64 (E.f64) (*.f64 #s(literal 2 binary64) (log.f64 eps)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 eps))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 eps)) #s(literal 2 binary64)))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 eps))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 eps)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 eps))))
(sqrt.f64 (pow.f64 eps #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 eps #s(literal 2 binary64))))
(pow.f64 eps #s(literal 2 binary64))
(cbrt.f64 (pow.f64 eps #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64))))
(pow.f64 eps #s(literal 2 binary64))
(log1p.f64 (expm1.f64 (pow.f64 eps #s(literal 2 binary64))))
(pow.f64 eps #s(literal 2 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 eps)))
(pow.f64 eps #s(literal 2 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 eps))) #s(literal 3 binary64)))
(pow.f64 eps #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 eps #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(cbrt.f64 (pow.f64 eps #s(literal 6 binary64)))

eval26.0ms (0.7%)

Compiler

Compiled 816 to 242 computations (70.3% saved)

prune13.0ms (0.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New86187
Fresh000
Picked112
Done011
Total87390
Accuracy
100.0%
Counts
90 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶61.1%
(*.f64 (*.f64 #s(literal 2 binary64) eps) x)
✓100.0%
(*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))
✓75.9%
(*.f64 eps eps)
Compiler

Compiled 21 to 14 computations (33.3% saved)

localize27.0ms (0.7%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01038
11438
22138
32338
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 2 binary64) eps) x)
(*.f64 #s(literal 2 binary64) eps)
#s(literal 2 binary64)
eps
x
Outputs
(*.f64 (*.f64 #s(literal 2 binary64) eps) x)
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 #s(literal 2 binary64) eps)
#s(literal 2 binary64)
eps
x
Results
13.0ms256×0valid
Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 4.0ms (91.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series2.0ms (0.1%)

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

9 calls:

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

rewrite67.0ms (1.8%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01029
18829
2101129
Stop Event
1×node limit
Counts
2 → 43
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) eps)
(*.f64 (*.f64 #s(literal 2 binary64) eps) x)
Outputs
(+.f64 eps eps)
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) eps))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) #s(literal 4 binary64)))) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 eps)) #s(literal 2 binary64))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) #s(literal 2 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) #s(literal 2 binary64)))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) eps)) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) eps) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) eps)) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) eps)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 #s(literal 2 binary64) eps)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) eps))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) eps))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) eps)))) (sqrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) eps))))
(sqrt.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 eps) #s(literal 2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) eps)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) eps)))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) eps)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) eps))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 #s(literal 2 binary64) eps))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) eps))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (*.f64 eps x)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) #s(literal 4 binary64)) x))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) #s(literal 2 binary64)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) #s(literal 2 binary64)) x))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) #s(literal 2 binary64)) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 eps x))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x))))) (sqrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)))))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 eps) #s(literal 2 binary64)) x))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)))) #s(literal 2 binary64)))

simplify90.0ms (2.4%)

Algorithm
1×egg-herbie
Rules
856×fma-neg
499×exp-sum
376×associate-*r*
366×times-frac
330×associate--l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01231368
12121362
24121356
39491356
428661356
550571356
Stop Event
1×node limit
Counts
67 → 62
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(+.f64 eps eps)
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) eps))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) #s(literal 4 binary64)))) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 eps)) #s(literal 2 binary64))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) #s(literal 2 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) #s(literal 2 binary64)))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) eps)) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) eps) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) eps)) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) eps)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 #s(literal 2 binary64) eps)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) eps))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) eps))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) eps)))) (sqrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) eps))))
(sqrt.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 eps) #s(literal 2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) eps)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) eps)))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) eps)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) eps))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 #s(literal 2 binary64) eps))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) eps))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (*.f64 eps x)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) #s(literal 4 binary64)) x))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) #s(literal 2 binary64)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) #s(literal 2 binary64)) x))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) #s(literal 2 binary64)) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 eps x))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x))))) (sqrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)))))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 eps) #s(literal 2 binary64)) x))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)))) #s(literal 2 binary64)))
Outputs
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 (*.f64 #s(literal 2 binary64) eps) x)
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 (*.f64 #s(literal 2 binary64) eps) x)
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 (*.f64 #s(literal 2 binary64) eps) x)
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 (*.f64 #s(literal 2 binary64) eps) x)
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 (*.f64 #s(literal 2 binary64) eps) x)
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 (*.f64 #s(literal 2 binary64) eps) x)
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 (*.f64 #s(literal 2 binary64) eps) x)
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 (*.f64 #s(literal 2 binary64) eps) x)
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 (*.f64 #s(literal 2 binary64) eps) x)
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 (*.f64 #s(literal 2 binary64) eps) x)
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 (*.f64 #s(literal 2 binary64) eps) x)
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 (*.f64 #s(literal 2 binary64) eps) x)
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 (*.f64 #s(literal 2 binary64) eps) x)
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 (*.f64 #s(literal 2 binary64) eps) x)
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 (*.f64 #s(literal 2 binary64) eps) x)
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 (*.f64 #s(literal 2 binary64) eps) x)
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 (*.f64 #s(literal 2 binary64) eps) x)
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 (*.f64 #s(literal 2 binary64) eps) x)
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 (*.f64 #s(literal 2 binary64) eps) x)
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 (*.f64 #s(literal 2 binary64) eps) x)
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 (*.f64 #s(literal 2 binary64) eps) x)
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 (*.f64 #s(literal 2 binary64) eps) x)
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 (*.f64 #s(literal 2 binary64) eps) x)
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 (*.f64 #s(literal 2 binary64) eps) x)
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(+.f64 eps eps)
(*.f64 #s(literal 2 binary64) eps)
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) eps))
(*.f64 #s(literal 2 binary64) eps)
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) #s(literal 4 binary64)))) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 eps)) #s(literal 2 binary64))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) #s(literal 2 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (log.f64 (fabs.f64 (exp.f64 eps))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) eps)) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) eps)
(pow.f64 (*.f64 #s(literal 2 binary64) eps) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) eps)
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) eps)) #s(literal 3 binary64))
(*.f64 #s(literal 2 binary64) eps)
(pow.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 2 binary64) eps)
(pow.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 2 binary64) eps)
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) eps)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) eps)
(pow.f64 (E.f64) (log.f64 (*.f64 #s(literal 2 binary64) eps)))
(*.f64 #s(literal 2 binary64) eps)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) eps))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) eps))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) eps)))) (sqrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) eps))))
(sqrt.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 4 binary64)))
(*.f64 #s(literal 2 binary64) eps)
(log.f64 (pow.f64 (exp.f64 eps) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) eps)
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 8 binary64)))
(*.f64 #s(literal 2 binary64) eps)
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) eps)))
(*.f64 #s(literal 2 binary64) eps)
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) eps)))
(*.f64 #s(literal 2 binary64) eps)
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) eps)))
(*.f64 #s(literal 2 binary64) eps)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) eps))) #s(literal 3 binary64)))
(*.f64 #s(literal 2 binary64) eps)
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 #s(literal 2 binary64) eps))) #s(literal 1/3 binary64)))
(*.f64 #s(literal 2 binary64) eps)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) eps))) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) eps)
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (*.f64 eps x)))
(*.f64 (*.f64 #s(literal 2 binary64) eps) x)
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) #s(literal 4 binary64)) x))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) #s(literal 2 binary64)) x))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) #s(literal 4 binary64)) x))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) eps) x))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) #s(literal 4 binary64)) x))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) (*.f64 #s(literal 2 binary64) x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) #s(literal 2 binary64)) x))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) #s(literal 2 binary64)) x))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) #s(literal 2 binary64)) x))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) eps) x))))
(*.f64 #s(literal 2 binary64) (log.f64 (fabs.f64 (pow.f64 (exp.f64 x) eps))))
(*.f64 #s(literal 2 binary64) (log.f64 (fabs.f64 (pow.f64 (exp.f64 eps) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 eps x))) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) eps) x)
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) eps) x)
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x))) #s(literal 3 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) eps) x)
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(pow.f64 (*.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) eps) x)
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(pow.f64 (*.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 1/3 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) eps) x)
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x))) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) eps) x)
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(pow.f64 (E.f64) (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x))))
(*.f64 (*.f64 #s(literal 2 binary64) eps) x)
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (*.f64 #s(literal 2 binary64) eps)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 x (*.f64 #s(literal 2 binary64) eps)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x))))) (sqrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x)))) (sqrt.f64 (log.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (*.f64 #s(literal 2 binary64) eps))))) (sqrt.f64 (log.f64 (*.f64 x (*.f64 #s(literal 2 binary64) eps)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x))))) (sqrt.f64 (log.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 4 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) eps) x)
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(log.f64 (pow.f64 (pow.f64 (exp.f64 eps) #s(literal 2 binary64)) x))
(*.f64 (*.f64 #s(literal 2 binary64) eps) x)
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) eps) x)
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x))))
(*.f64 (*.f64 #s(literal 2 binary64) eps) x)
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x))))
(*.f64 (*.f64 #s(literal 2 binary64) eps) x)
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x))))
(*.f64 (*.f64 #s(literal 2 binary64) eps) x)
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)))) #s(literal 3 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) eps) x)
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)))) #s(literal 1/3 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) eps) x)
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)))) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) eps) x)
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))

eval7.0ms (0.2%)

Compiler

Compiled 630 to 196 computations (68.9% saved)

prune10.0ms (0.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New62062
Fresh000
Picked011
Done022
Total62365
Accuracy
100.0%
Counts
65 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓61.1%
(*.f64 (*.f64 #s(literal 2 binary64) eps) x)
✓100.0%
(*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))
✓75.9%
(*.f64 eps eps)
Compiler

Compiled 52 to 29 computations (44.2% saved)

regimes7.0ms (0.2%)

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

3 calls:

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

Compiled 17 to 11 computations (35.3% saved)

regimes4.0ms (0.1%)

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

2 calls:

2.0ms
eps
2.0ms
x
Results
AccuracySegmentsBranch
92.9%3x
89.2%3eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes2.0ms (0%)

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

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
92.9%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

2 calls:

1.0ms
x
1.0ms
eps
Results
AccuracySegmentsBranch
75.9%1eps
75.9%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch41.0ms (1.1%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
20.0ms
3.686548524943334e-92
5.99820643307204e-90
18.0ms
-7.50270688652908e-116
-5.7958060127452136e-120
Results
19.0ms140×1valid
6.0ms100×0valid
Compiler

Compiled 226 to 161 computations (28.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-pow: 9.0ms (57.1% of total)
ival-add: 2.0ms (12.7% of total)
ival-sub: 2.0ms (12.7% of total)
backward-pass: 2.0ms (12.7% of total)
const: 0.0ms (0% of total)

bsearch37.0ms (1%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
17.0ms
3.686548524943334e-92
5.99820643307204e-90
18.0ms
-7.50270688652908e-116
-5.7958060127452136e-120
Results
20.0ms151×1valid
5.0ms89×0valid
Compiler

Compiled 226 to 161 computations (28.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-pow: 9.0ms (58% of total)
ival-add: 2.0ms (12.9% of total)
ival-sub: 2.0ms (12.9% of total)
backward-pass: 2.0ms (12.9% of total)
const: 0.0ms (0% of total)

simplify3.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
031179
143179
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -1153430592754259/22181357552966518876627313473144669627491496603006532601363836644916970462445004984319795248833116624779129687691228574631793262592 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) eps) x) (if (<=.f64 x #s(literal 1376099169594043/18347988927920572092886567162416695526372519913346248989900710715095383008707878464560148424881005492436992 binary64)) (*.f64 eps eps) (*.f64 #s(literal 2 binary64) (*.f64 eps x))))
(if (<=.f64 x #s(literal -8695092160762875/177450860423732151013018507785157357019931972824052260810910693159335763699560039874558361990664932998233037501529828597054346100736 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (if (<=.f64 x #s(literal 3816381697007479/73391955711682288371546268649666782105490079653384995959602842860381532034831513858240593699524021969747968 binary64)) (*.f64 eps eps) (*.f64 #s(literal 2 binary64) (*.f64 eps x))))
(*.f64 eps eps)
Outputs
(*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -1153430592754259/22181357552966518876627313473144669627491496603006532601363836644916970462445004984319795248833116624779129687691228574631793262592 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) eps) x) (if (<=.f64 x #s(literal 1376099169594043/18347988927920572092886567162416695526372519913346248989900710715095383008707878464560148424881005492436992 binary64)) (*.f64 eps eps) (*.f64 #s(literal 2 binary64) (*.f64 eps x))))
(if (<=.f64 x #s(literal -1153430592754259/22181357552966518876627313473144669627491496603006532601363836644916970462445004984319795248833116624779129687691228574631793262592 binary64)) (*.f64 x (*.f64 eps #s(literal 2 binary64))) (if (<=.f64 x #s(literal 1376099169594043/18347988927920572092886567162416695526372519913346248989900710715095383008707878464560148424881005492436992 binary64)) (*.f64 eps eps) (*.f64 #s(literal 2 binary64) (*.f64 eps x))))
(if (<=.f64 x #s(literal -8695092160762875/177450860423732151013018507785157357019931972824052260810910693159335763699560039874558361990664932998233037501529828597054346100736 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (if (<=.f64 x #s(literal 3816381697007479/73391955711682288371546268649666782105490079653384995959602842860381532034831513858240593699524021969747968 binary64)) (*.f64 eps eps) (*.f64 #s(literal 2 binary64) (*.f64 eps x))))
(if (or (<=.f64 x #s(literal -8695092160762875/177450860423732151013018507785157357019931972824052260810910693159335763699560039874558361990664932998233037501529828597054346100736 binary64)) (not (<=.f64 x #s(literal 3816381697007479/73391955711682288371546268649666782105490079653384995959602842860381532034831513858240593699524021969747968 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (*.f64 eps eps))
(*.f64 eps eps)

soundness515.0ms (13.9%)

Rules
887×prod-exp
578×sub-neg
485×unsub-neg
479×fma-neg
478×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01714294968839
12924294968833
26134294968833
321274294968833
440084294968821
578604294968821
01142
110742
2121242
028278
157246
2174238
3663196
42246188
55182188
66776188
77401188
87630188
97744188
107777188
Stop Event
1×done
1×node limit
1×node limit
1×node limit
Compiler

Compiled 318 to 92 computations (71.1% saved)

preprocess29.0ms (0.8%)

Compiler

Compiled 122 to 62 computations (49.2% saved)

end0.0ms (0%)

Profiling

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