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

Time bar (total: 6.1s)

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 25 to 19 computations (24% saved)

sample2.5s (40.6%)

Results
945.0ms5253×0valid
745.0ms2469×1valid
177.0ms534×2valid
Precisions
Click to see histograms. Total time spent on operations: 1.4s
ival-pow: 893.0ms (65.5% of total)
ival-<=: 181.0ms (13.3% of total)
ival-add: 115.0ms (8.4% of total)
adjust: 68.0ms (5% of total)
ival-sub: 67.0ms (4.9% of total)
...in/eval/compile.rkt:70:19: 18.0ms (1.3% of total)
ival-and: 16.0ms (1.2% of total)
ival-assert: 4.0ms (0.3% of total)
Bogosity

preprocess194.0ms (3.2%)

Algorithm
1×egg-herbie
Rules
576×sub-neg
479×fmm-def
478×distribute-lft-in
454×unsub-neg
345×distribute-rgt-in
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
028278
157246
2174238
3663196
42246188
55176188
66794188
77415188
87644188
97758188
107791188
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))))

explain204.0ms (3.4%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
751(-1.996575268243821e-55 7.362404899122855e-269)0-(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
00-0-eps
00-0-(pow.f64 x #s(literal 2 binary64))
00-0-#s(literal 2 binary64)
00-0-(pow.f64 (+.f64 x eps) #s(literal 2 binary64))
00-0-(+.f64 x eps)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))cancellation760
Confusion
Predicted +Predicted -
+750
-1180
Precision
0.9868421052631579
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+7500
-10180
Precision?
0.9868421052631579
Recall?
1.0
Freqs
test
numberfreq
0180
176
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Results
118.0ms334×0valid
21.0ms140×1valid
9.0ms38×2valid
Compiler

Compiled 72 to 32 computations (55.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-pow: 16.0ms (50.7% of total)
ival-sub: 7.0ms (22.2% of total)
adjust: 4.0ms (12.7% of total)
ival-add: 4.0ms (12.7% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 9 to 6 computations (33.3% saved)

prune37.0ms (0.6%)

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)

simplify7.0ms (0.1%)

Algorithm
1×egg-herbie
Localize:

Found 3 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))
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)

localize24.0ms (0.4%)

Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
✓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))))
Results
17.0ms256×0valid
Compiler

Compiled 20 to 8 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 4.0ms (73.5% of total)
ival-add: 1.0ms (18.4% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.1%)

Counts
3 → 60
Calls
Call 1
Inputs
#<alt (*.f64 x #s(literal 2 binary64))>
#<alt (*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 eps (*.f64 x #s(literal 2 binary64)))>
Outputs
#<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) (*.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 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
3.0ms
x
@-inf
(+ eps (* x 2))
1.0ms
eps
@inf
(* eps (+ eps (* x 2)))
1.0ms
x
@-inf
(* x 2)
1.0ms
x
@inf
(* eps (+ eps (* x 2)))
0.0ms
eps
@-inf
(* eps (+ eps (* x 2)))

rewrite218.0ms (3.6%)

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 x #s(literal 2 binary64))
(*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))
(+.f64 eps (*.f64 x #s(literal 2 binary64)))
Outputs
(+.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 (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (*.f64 #s(literal 2 binary64) eps)))
(+.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 (*.f64 x (*.f64 #s(literal 2 binary64) eps)) #s(literal 1 binary64)))
(+.f64 (*.f64 x (*.f64 #s(literal 2 binary64) eps)) (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 x (*.f64 #s(literal 2 binary64) eps)) (*.f64 x (*.f64 #s(literal 2 binary64) eps))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (*.f64 #s(literal 2 binary64) eps))))))
(/.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (*.f64 (*.f64 x (*.f64 #s(literal 2 binary64) eps)) (*.f64 x (*.f64 #s(literal 2 binary64) eps)))) (-.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (*.f64 #s(literal 2 binary64) eps))))
(/.f64 (*.f64 eps (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 (*.f64 x #s(literal 2 binary64)) (-.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 x (*.f64 #s(literal 2 binary64) eps))) (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 (log.f64 (pow.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)) #s(literal 3 binary64))) #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 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 eps (*.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 eps eps (*.f64 x (*.f64 #s(literal 2 binary64) eps)))
(fma.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (*.f64 #s(literal 2 binary64) eps)))
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 2 binary64) eps)) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) eps) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (*.f64 (cbrt.f64 eps) eps) (*.f64 x (*.f64 #s(literal 2 binary64) eps)))
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (*.f64 (cbrt.f64 eps) (*.f64 x #s(literal 2 binary64))) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 #s(literal 2 binary64) eps)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) eps) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) eps) (*.f64 x (*.f64 #s(literal 2 binary64) eps)))
(fma.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (*.f64 x #s(literal 2 binary64))) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (*.f64 x (*.f64 #s(literal 2 binary64) eps)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x (*.f64 #s(literal 2 binary64) eps))) (cbrt.f64 (*.f64 x (*.f64 #s(literal 2 binary64) eps)))) (cbrt.f64 (*.f64 x (*.f64 #s(literal 2 binary64) eps))) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (*.f64 eps (sqrt.f64 eps)) (sqrt.f64 eps) (*.f64 x (*.f64 #s(literal 2 binary64) eps)))
(fma.f64 (sqrt.f64 (*.f64 x (*.f64 #s(literal 2 binary64) eps))) (sqrt.f64 (*.f64 x (*.f64 #s(literal 2 binary64) eps))) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (*.f64 (sqrt.f64 (*.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 x (*.f64 #s(literal 2 binary64) eps)))
(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 (pow.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (*.f64 eps (sqrt.f64 (*.f64 x #s(literal 2 binary64)))) (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 eps #s(literal 2 binary64)))
(-.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 x (*.f64 #s(literal 2 binary64) eps)))))
(/.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (+.f64 eps (*.f64 #s(literal -2 binary64) x)))
(/.f64 (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 (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))))
(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))))))
(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 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 eps #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64)) eps)
(fma.f64 #s(literal 1 binary64) eps (*.f64 x #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) eps)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 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)

simplify96.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
528×distribute-lft-in
500×distribute-rgt-in
460×times-frac
253×cancel-sign-sub-inv
232×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03805598
18245442
222905363
Stop Event
1×node limit
Counts
209 → 198
Calls
Call 1
Inputs
(*.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) (*.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))
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(/.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 (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))))
(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))))))
(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 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 eps #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64)) eps)
(fma.f64 #s(literal 1 binary64) eps (*.f64 x #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) eps)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 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) 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) (*.f64 eps x))
(*.f64 #s(literal 2 binary64) (*.f64 x eps))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 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 #s(literal 2 binary64) (*.f64 x eps))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 x (fma.f64 #s(literal 2 binary64) eps (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 x (fma.f64 #s(literal 2 binary64) eps (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 x (fma.f64 #s(literal 2 binary64) eps (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 #s(literal 2 binary64) (*.f64 x eps))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(*.f64 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 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 x x)
(*.f64 #s(literal 2 binary64) x)
(+.f64 #s(literal 0 binary64) (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) x)
(+.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 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x)) (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x))))
(+.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 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (log.f64 (fabs.f64 (exp.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) x)
(pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) x)
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))
(*.f64 #s(literal 2 binary64) x)
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) x)
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) x)
(log1p.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) x)
(exp.f64 (log.f64 (*.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) x)
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)))
(*.f64 #s(literal 2 binary64) x)
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64))) #s(literal 1/3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) x)
(+.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (*.f64 #s(literal 2 binary64) eps)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(+.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 (*.f64 x (*.f64 #s(literal 2 binary64) eps)) #s(literal 1 binary64)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(+.f64 (*.f64 x (*.f64 #s(literal 2 binary64) eps)) (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)))))
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(*.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)))
(fma.f64 #s(literal 2 binary64) x eps)
(*.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)))
(fma.f64 #s(literal 2 binary64) x eps)
(*.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)))
(fma.f64 #s(literal 2 binary64) x eps)
(*.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 (cbrt.f64 (fma.f64 #s(literal 2 binary64) x eps)) (cbrt.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64))))
(*.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)))
(fma.f64 #s(literal 2 binary64) x eps)
(*.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 (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 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 (cbrt.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) x eps))) (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) x eps))) (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 7 binary64)) (cbrt.f64 (fma.f64 #s(literal 2 binary64) x eps)))))
(*.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 (cbrt.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x eps))) (cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64)) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x eps))) (cbrt.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 3 binary64)))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x eps))) (cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 5 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)))
(fma.f64 #s(literal 2 binary64) x eps)
(*.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)))
(fma.f64 #s(literal 2 binary64) x eps)
(/.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 (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 #s(literal 2 binary64) x) (-.f64 (*.f64 #s(literal 2 binary64) x) 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 (*.f64 #s(literal 2 binary64) x) (-.f64 (*.f64 #s(literal 2 binary64) x) 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 eps (fma.f64 x #s(literal -2 binary64) eps))))
(/.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 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (+.f64 eps (*.f64 x #s(literal -2 binary64))))
(/.f64 (fma.f64 eps eps (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -4 binary64))) (fma.f64 x #s(literal -2 binary64) eps))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 (*.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))) (/.f64 #s(literal 1 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 (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 (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 eps (fma.f64 x #s(literal -2 binary64) eps))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (*.f64 #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 #s(literal 2 binary64) x) (-.f64 (*.f64 #s(literal 2 binary64) x) 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 (*.f64 #s(literal 2 binary64) x) (-.f64 (*.f64 #s(literal 2 binary64) x) 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 eps (fma.f64 x #s(literal -2 binary64) eps))))
(/.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (+.f64 eps (*.f64 #s(literal -2 binary64) x)))
(/.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (+.f64 eps (*.f64 x #s(literal -2 binary64))))
(/.f64 (fma.f64 eps eps (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -4 binary64))) (fma.f64 x #s(literal -2 binary64) eps))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.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))) (/.f64 #s(literal 1 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 (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 (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 eps (fma.f64 x #s(literal -2 binary64) eps))))
(/.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 (pow.f64 eps #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (+.f64 eps (*.f64 x #s(literal -2 binary64))))
(/.f64 (fma.f64 eps eps (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -4 binary64))) (fma.f64 x #s(literal -2 binary64) eps))
(/.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))
(/.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (+.f64 eps (*.f64 x #s(literal -2 binary64))))
(/.f64 (fma.f64 eps eps (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -4 binary64))) (fma.f64 x #s(literal -2 binary64) eps))
(pow.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) x eps)
(pow.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) eps)) #s(literal 3 binary64))
(fma.f64 #s(literal 2 binary64) x eps)
(pow.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 #s(literal 2 binary64) x eps)
(pow.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) eps)) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) x eps)
(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))
(*.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 #s(literal 2 binary64) x) (-.f64 (*.f64 #s(literal 2 binary64) x) 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 (*.f64 #s(literal 2 binary64) x) (-.f64 (*.f64 #s(literal 2 binary64) x) 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 eps (fma.f64 x #s(literal -2 binary64) eps))))
(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))
(/.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (+.f64 eps (*.f64 x #s(literal -2 binary64))))
(/.f64 (fma.f64 eps eps (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -4 binary64))) (fma.f64 x #s(literal -2 binary64) eps))
(sqrt.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) x eps)
(log.f64 (exp.f64 (fma.f64 x #s(literal 2 binary64) eps)))
(fma.f64 #s(literal 2 binary64) x eps)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x #s(literal 2 binary64) eps))))
(fma.f64 #s(literal 2 binary64) x eps)
(log.f64 (*.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (expm1.f64 eps))))
(fma.f64 #s(literal 2 binary64) x eps)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (exp.f64 eps)))
(fma.f64 #s(literal 2 binary64) x 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))))
(fma.f64 #s(literal 2 binary64) x eps)
(log.f64 (*.f64 (exp.f64 eps) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 2 binary64))))))
(fma.f64 #s(literal 2 binary64) x eps)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 eps)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(fma.f64 #s(literal 2 binary64) x eps)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 eps)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 2 binary64))))))
(fma.f64 #s(literal 2 binary64) x eps)
(cbrt.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 3 binary64)))
(fma.f64 #s(literal 2 binary64) x eps)
(expm1.f64 (log1p.f64 (fma.f64 x #s(literal 2 binary64) eps)))
(fma.f64 #s(literal 2 binary64) x eps)
(log1p.f64 (expm1.f64 (fma.f64 x #s(literal 2 binary64) eps)))
(fma.f64 #s(literal 2 binary64) x eps)
(exp.f64 (log.f64 (fma.f64 x #s(literal 2 binary64) eps)))
(fma.f64 #s(literal 2 binary64) x eps)
(exp.f64 (*.f64 (log.f64 (fma.f64 x #s(literal 2 binary64) eps)) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) x eps)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 3 binary64)))
(fma.f64 #s(literal 2 binary64) x eps)
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 2 binary64) x eps)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 x #s(literal 2 binary64) eps)
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) eps)
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 eps #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64)) eps)
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 #s(literal 1 binary64) eps (*.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) eps)
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x #s(literal 2 binary64))) eps)
(fma.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)
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 eps) (*.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 2 binary64)) eps)
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 (*.f64 x #s(literal 2 binary64))) eps)
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (*.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) eps)
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) eps)
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x) eps)
(fma.f64 #s(literal 2 binary64) x eps)

eval24.0ms (0.4%)

Compiler

Compiled 2765 to 619 computations (77.6% saved)

prune30.0ms (0.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1935198
Fresh000
Picked011
Done000
Total1936199
Accuracy
100.0%
Counts
199 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(fma.f64 eps eps (*.f64 x (*.f64 #s(literal 2 binary64) eps)))
▶99.7%
(*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
✓100.0%
(*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))
▶99.9%
(*.f64 eps (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps)))))
▶72.4%
(*.f64 eps eps)
▶61.9%
(*.f64 #s(literal 2 binary64) (*.f64 x eps))
Compiler

Compiled 101 to 66 computations (34.7% saved)

simplify184.0ms (3%)

Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓cost-diff-6016
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
✓cost-diff-6016
(*.f64 eps (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps)))))
✓cost-diff0
(/.f64 x eps)
✓cost-diff0
(*.f64 #s(literal 2 binary64) (/.f64 x eps))
✓cost-diff-6144
(*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
✓cost-diff0
(/.f64 eps x)
✓cost-diff0
(+.f64 #s(literal 2 binary64) (/.f64 eps x))
✓cost-diff0
(*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
✓cost-diff0
(*.f64 x eps)
✓cost-diff0
(*.f64 #s(literal 2 binary64) (*.f64 x eps))
✓cost-diff0
(*.f64 eps eps)
✓cost-diff0
(*.f64 #s(literal 2 binary64) eps)
✓cost-diff0
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
✓cost-diff128
(fma.f64 eps eps (*.f64 x (*.f64 #s(literal 2 binary64) eps)))
Rules
1841×fma-define
1254×swap-sqr
1231×cube-prod
532×cube-div
317×associate-/l*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
025365
161342
2132342
3345315
4592315
51189315
62407315
73508315
84687315
95042315
105172315
115297315
125408315
136791315
Stop Event
1×node limit
Calls
Call 1
Inputs
(fma.f64 eps eps (*.f64 x (*.f64 #s(literal 2 binary64) eps)))
eps
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
x
(*.f64 #s(literal 2 binary64) eps)
#s(literal 2 binary64)
(*.f64 eps eps)
eps
(*.f64 #s(literal 2 binary64) (*.f64 x eps))
#s(literal 2 binary64)
(*.f64 x eps)
x
eps
(*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
x
(*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
eps
(+.f64 #s(literal 2 binary64) (/.f64 eps x))
#s(literal 2 binary64)
(/.f64 eps x)
(*.f64 eps (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps)))))
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps)))
#s(literal 1 binary64)
(*.f64 #s(literal 2 binary64) (/.f64 x eps))
#s(literal 2 binary64)
(/.f64 x eps)
x
Outputs
(fma.f64 eps eps (*.f64 x (*.f64 #s(literal 2 binary64) eps)))
(fma.f64 eps eps (*.f64 x (*.f64 eps #s(literal 2 binary64))))
(*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
eps
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(*.f64 x (*.f64 eps #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 eps (*.f64 x #s(literal 2 binary64)))
x
(*.f64 #s(literal 2 binary64) eps)
(*.f64 eps #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 eps eps)
eps
(*.f64 #s(literal 2 binary64) (*.f64 x eps))
(*.f64 x (*.f64 eps #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 eps (*.f64 x #s(literal 2 binary64)))
#s(literal 2 binary64)
(*.f64 x eps)
(*.f64 eps x)
x
eps
(*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
(fma.f64 eps eps (*.f64 x (*.f64 eps #s(literal 2 binary64))))
(*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
x
(*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
eps
(+.f64 #s(literal 2 binary64) (/.f64 eps x))
#s(literal 2 binary64)
(/.f64 eps x)
(*.f64 eps (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps)))))
(fma.f64 eps eps (*.f64 x (*.f64 eps #s(literal 2 binary64))))
(*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) 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)))
(fma.f64 x #s(literal 2 binary64) eps)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps)))
(fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))
(fma.f64 x (/.f64 #s(literal 2 binary64) eps) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 #s(literal 2 binary64) (/.f64 x eps))
(*.f64 x (/.f64 #s(literal 2 binary64) eps))
#s(literal 2 binary64)
(/.f64 x eps)
x

localize202.0ms (3.3%)

Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps)))
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) (/.f64 x eps))
✓accuracy100.0%
(*.f64 eps (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps)))))
✓accuracy99.9%
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
✓accuracy100.0%
(/.f64 eps x)
✓accuracy100.0%
(+.f64 #s(literal 2 binary64) (/.f64 eps x))
✓accuracy99.8%
(*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
✓accuracy99.8%
(*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
✓accuracy100.0%
(*.f64 x eps)
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) (*.f64 x eps))
✓accuracy100.0%
(*.f64 eps eps)
✓accuracy100.0%
(fma.f64 eps eps (*.f64 x (*.f64 #s(literal 2 binary64) eps)))
✓accuracy100.0%
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) eps)
Results
179.0ms256×0valid
Compiler

Compiled 102 to 21 computations (79.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 130.0ms
ival-mult: 118.0ms (90.9% of total)
ival-fma: 5.0ms (3.9% of total)
ival-div: 4.0ms (3.1% of total)
ival-add: 2.0ms (1.5% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series137.0ms (2.3%)

Counts
15 → 228
Calls
Call 1
Inputs
#<alt (fma.f64 eps eps (*.f64 x (*.f64 #s(literal 2 binary64) eps)))>
#<alt (*.f64 x (*.f64 #s(literal 2 binary64) eps))>
#<alt (*.f64 #s(literal 2 binary64) eps)>
#<alt (*.f64 eps eps)>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x eps))>
#<alt (*.f64 x eps)>
#<alt (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))>
#<alt (+.f64 #s(literal 2 binary64) (/.f64 eps x))>
#<alt (/.f64 eps x)>
#<alt (*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))>
#<alt (*.f64 #s(literal 2 binary64) (/.f64 x eps))>
#<alt (/.f64 x eps)>
#<alt (*.f64 eps (*.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 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps)))>
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) (*.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))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<alt (*.f64 #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 eps x)>
#<alt (*.f64 eps x)>
#<alt (*.f64 eps x)>
#<alt (*.f64 eps x)>
#<alt (*.f64 eps x)>
#<alt (*.f64 eps x)>
#<alt (*.f64 eps x)>
#<alt (*.f64 eps x)>
#<alt (*.f64 eps x)>
#<alt (*.f64 eps x)>
#<alt (*.f64 eps x)>
#<alt (*.f64 eps x)>
#<alt (*.f64 eps x)>
#<alt (*.f64 eps x)>
#<alt (*.f64 eps x)>
#<alt (*.f64 eps x)>
#<alt (*.f64 eps x)>
#<alt (*.f64 eps x)>
#<alt (*.f64 eps x)>
#<alt (*.f64 eps x)>
#<alt (*.f64 eps x)>
#<alt (*.f64 eps x)>
#<alt (*.f64 eps x)>
#<alt (*.f64 eps x)>
#<alt (*.f64 #s(literal 2 binary64) eps)>
#<alt (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64))) x)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64))) x)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64))) x)>
#<alt (*.f64 #s(literal 2 binary64) eps)>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal 2 binary64) eps)>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))>
#<alt #s(literal 2 binary64)>
#<alt (/.f64 eps x)>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (/.f64 eps x)>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (/.f64 eps x)>
#<alt (/.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) x)>
#<alt (/.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) x)>
#<alt (/.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) x)>
#<alt #s(literal 2 binary64)>
#<alt #s(literal 2 binary64)>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<alt (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))>
#<alt (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))>
#<alt (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<alt (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))>
#<alt (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))>
#<alt (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
#<alt (*.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 eps>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x eps)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x eps)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x eps)) #s(literal 1 binary64))))>
#<alt eps>
#<alt (+.f64 eps (*.f64 #s(literal 2 binary64) x))>
#<alt (+.f64 eps (*.f64 #s(literal 2 binary64) x))>
#<alt (+.f64 eps (*.f64 #s(literal 2 binary64) x))>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x)))>
#<alt (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x)))>
#<alt (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x)))>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 2 binary64))))>
#<alt #s(literal 1 binary64)>
#<alt (*.f64 #s(literal 2 binary64) (/.f64 x eps))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal 2 binary64) (/.f64 x eps))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal 2 binary64) (/.f64 x eps))>
#<alt (/.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) eps)>
#<alt (/.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) eps)>
#<alt (/.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) eps)>
#<alt #s(literal 1 binary64)>
#<alt #s(literal 1 binary64)>
Calls

84 calls:

TimeVariablePointExpression
87.0ms
eps
@inf
(* eps eps)
26.0ms
x
@0
(* eps (* eps (+ 1 (* 2 (/ x eps)))))
2.0ms
eps
@inf
(* eps (+ 2 (/ eps x)))
1.0ms
eps
@0
(+ (* eps eps) (* x (* 2 eps)))
1.0ms
x
@0
(* 2 (/ x eps))

rewrite269.0ms (4.4%)

Algorithm
1×batch-egg-rewrite
Rules
1110×log1p-expm1-u
511×expm1-log1p-u
222×associate-*r*
174×add-exp-log
174×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025332
1401315
25527315
Stop Event
1×node limit
Counts
15 → 362
Calls
Call 1
Inputs
(fma.f64 eps eps (*.f64 x (*.f64 #s(literal 2 binary64) eps)))
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(*.f64 #s(literal 2 binary64) eps)
(*.f64 eps eps)
(*.f64 #s(literal 2 binary64) (*.f64 x eps))
(*.f64 x eps)
(*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
(+.f64 #s(literal 2 binary64) (/.f64 eps x))
(/.f64 eps x)
(*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
(*.f64 #s(literal 2 binary64) (/.f64 x eps))
(/.f64 x eps)
(*.f64 eps (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps)))
Outputs
(+.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (pow.f64 eps #s(literal 2 binary64)))
(+.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64)))))) #s(literal 1 binary64))
(*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))
(*.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))) (pow.f64 (cbrt.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))))
(*.f64 (hypot.f64 eps (sqrt.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))))) (hypot.f64 eps (sqrt.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) #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 4 binary64)) (pow.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 eps (*.f64 x #s(literal 2 binary64)))))
(pow.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 eps (sqrt.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 eps #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64))
(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)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 eps #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 eps #s(literal 2 binary64))))
(exp.f64 (log.f64 (*.f64 eps #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (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 (pow.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 eps #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 eps #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 eps #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 3 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 (log.f64 eps) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 eps)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps x))) #s(literal 1 binary64))
(pow.f64 (*.f64 eps x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 eps) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps x))))
(cbrt.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 eps x)))
(log1p.f64 (expm1.f64 (*.f64 eps x)))
(exp.f64 (log.f64 (*.f64 eps x)))
(exp.f64 (*.f64 (log.f64 (*.f64 eps x)) #s(literal 1 binary64)))
(+.f64 (*.f64 eps #s(literal 2 binary64)) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(+.f64 (*.f64 eps #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) #s(literal 1 binary64)))
(+.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (*.f64 eps #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (*.f64 (*.f64 eps #s(literal 2 binary64)) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(/.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) (-.f64 (*.f64 eps #s(literal 2 binary64)) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(/.f64 (*.f64 eps (+.f64 (pow.f64 (/.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64))) (+.f64 #s(literal 4 binary64) (*.f64 (/.f64 eps x) (-.f64 (/.f64 eps x) #s(literal 2 binary64)))))
(/.f64 (*.f64 eps (-.f64 #s(literal 4 binary64) (pow.f64 (/.f64 eps x) #s(literal 2 binary64)))) (-.f64 #s(literal 2 binary64) (/.f64 eps x)))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64)) eps) (+.f64 #s(literal 4 binary64) (*.f64 (/.f64 eps x) (-.f64 (/.f64 eps x) #s(literal 2 binary64)))))
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(/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 eps x))))
(pow.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 eps (sqrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (*.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(+.f64 eps (*.f64 eps (/.f64 #s(literal 2 binary64) (/.f64 eps x))))
(+.f64 eps (*.f64 (*.f64 eps (/.f64 #s(literal 2 binary64) (/.f64 eps x))) #s(literal 1 binary64)))
(+.f64 (*.f64 eps (/.f64 #s(literal 2 binary64) (/.f64 eps x))) eps)
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (*.f64 eps (/.f64 #s(literal 2 binary64) (/.f64 eps x))) #s(literal 3 binary64))) (+.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 eps (/.f64 #s(literal 2 binary64) (/.f64 eps x))) (*.f64 eps (/.f64 #s(literal 2 binary64) (/.f64 eps x)))) (*.f64 eps (*.f64 eps (/.f64 #s(literal 2 binary64) (/.f64 eps x)))))))
(/.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 (*.f64 eps (/.f64 #s(literal 2 binary64) (/.f64 eps x))) (*.f64 eps (/.f64 #s(literal 2 binary64) (/.f64 eps x))))) (-.f64 eps (*.f64 eps (/.f64 #s(literal 2 binary64) (/.f64 eps x)))))
(/.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x)) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x)) (-.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x)) #s(literal 1 binary64)))))
(/.f64 (*.f64 eps (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 eps x))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x)) #s(literal 3 binary64))) eps) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x)) (-.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x)) #s(literal 1 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x)) #s(literal 2 binary64))) eps) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 eps x))))
(pow.f64 (*.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 eps) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 eps #s(literal 1 binary64) (*.f64 eps (/.f64 #s(literal 2 binary64) (/.f64 eps x))))
(fma.f64 #s(literal 1 binary64) eps (*.f64 eps (/.f64 #s(literal 2 binary64) (/.f64 eps x))))
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 eps) (*.f64 eps (/.f64 #s(literal 2 binary64) (/.f64 eps x))))
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (*.f64 eps (/.f64 #s(literal 2 binary64) (/.f64 eps x))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 eps x)))) (/.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 eps x)))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x)) (-.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x)) #s(literal 1 binary64))))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 eps x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x)) (-.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 eps x))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x)) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x)) (-.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x)) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 eps x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 eps x))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x)) (-.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 eps x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x)) #s(literal 1 binary64)))
(pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))))
(exp.f64 (log1p.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x))) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))
(fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 eps x)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x))) (sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x))) #s(literal 1 binary64))

simplify220.0ms (3.6%)

Algorithm
1×egg-herbie
Rules
646×fmm-def
388×associate-*r*
369×associate-*l*
338×exp-prod
322×cube-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
072315874
1152314699
2521714679
Stop Event
1×node limit
Counts
590 → 476
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) (*.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))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 #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 x)
(*.f64 eps x)
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 eps)) (/.f64 (cbrt.f64 x) (sqrt.f64 eps)))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) eps))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 eps)))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 eps)) (neg.f64 x))
(pow.f64 (/.f64 eps x) #s(literal -1 binary64))
(pow.f64 (/.f64 x eps) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x eps)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x eps) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x eps)) #s(literal 2 binary64))
(neg.f64 (/.f64 x (neg.f64 eps)))
(neg.f64 (/.f64 (neg.f64 x) eps))
(sqrt.f64 (pow.f64 (/.f64 x eps) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x eps)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x eps))))
(cbrt.f64 (pow.f64 (/.f64 x eps) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x eps)))
(log1p.f64 (expm1.f64 (/.f64 x eps)))
(exp.f64 (log.f64 (/.f64 x eps)))
(exp.f64 (*.f64 (log.f64 (/.f64 x eps)) #s(literal 1 binary64)))
(+.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 eps (*.f64 eps (/.f64 #s(literal 2 binary64) (/.f64 eps x)))))
(+.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (/.f64 eps x))))
(+.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 (*.f64 eps (/.f64 #s(literal 2 binary64) (/.f64 eps x))) eps))
(+.f64 (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 (pow.f64 eps #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (/.f64 eps x))) (pow.f64 eps #s(literal 2 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x)) (pow.f64 eps #s(literal 2 binary64))) (pow.f64 eps #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x)) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x)) (-.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x)) #s(literal 1 binary64)))))
(/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 eps x))))
(pow.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 eps (sqrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (*.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(+.f64 eps (*.f64 eps (/.f64 #s(literal 2 binary64) (/.f64 eps x))))
(+.f64 eps (*.f64 (*.f64 eps (/.f64 #s(literal 2 binary64) (/.f64 eps x))) #s(literal 1 binary64)))
(+.f64 (*.f64 eps (/.f64 #s(literal 2 binary64) (/.f64 eps x))) eps)
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (*.f64 eps (/.f64 #s(literal 2 binary64) (/.f64 eps x))) #s(literal 3 binary64))) (+.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 eps (/.f64 #s(literal 2 binary64) (/.f64 eps x))) (*.f64 eps (/.f64 #s(literal 2 binary64) (/.f64 eps x)))) (*.f64 eps (*.f64 eps (/.f64 #s(literal 2 binary64) (/.f64 eps x)))))))
(/.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 (*.f64 eps (/.f64 #s(literal 2 binary64) (/.f64 eps x))) (*.f64 eps (/.f64 #s(literal 2 binary64) (/.f64 eps x))))) (-.f64 eps (*.f64 eps (/.f64 #s(literal 2 binary64) (/.f64 eps x)))))
(/.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x)) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x)) (-.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x)) #s(literal 1 binary64)))))
(/.f64 (*.f64 eps (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 eps x))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x)) #s(literal 3 binary64))) eps) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x)) (-.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x)) #s(literal 1 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x)) #s(literal 2 binary64))) eps) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 eps x))))
(pow.f64 (*.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 eps) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 eps #s(literal 1 binary64) (*.f64 eps (/.f64 #s(literal 2 binary64) (/.f64 eps x))))
(fma.f64 #s(literal 1 binary64) eps (*.f64 eps (/.f64 #s(literal 2 binary64) (/.f64 eps x))))
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 eps) (*.f64 eps (/.f64 #s(literal 2 binary64) (/.f64 eps x))))
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (*.f64 eps (/.f64 #s(literal 2 binary64) (/.f64 eps x))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 eps x)))) (/.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 eps x)))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x)) (-.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x)) #s(literal 1 binary64))))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 eps x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x)) (-.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 eps x))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x)) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x)) (-.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x)) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 eps x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 eps x))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x)) (-.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 eps x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x)) #s(literal 1 binary64)))
(pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))))
(exp.f64 (log1p.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x))) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))
(fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 eps x)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x))) (sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x))) #s(literal 1 binary64))
Outputs
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(pow.f64 eps #s(literal 2 binary64))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(pow.f64 eps #s(literal 2 binary64))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(pow.f64 eps #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
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(fma.f64 eps (*.f64 (/.f64 #s(literal 2 binary64) eps) x) eps)
(*.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) eps (*.f64 eps (/.f64 #s(literal 2 binary64) (/.f64 eps x))))
(fma.f64 eps (*.f64 (/.f64 #s(literal 2 binary64) eps) x) eps)
(*.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 eps) (*.f64 eps (/.f64 #s(literal 2 binary64) (/.f64 eps x))))
(fma.f64 eps (*.f64 (/.f64 #s(literal 2 binary64) eps) x) eps)
(*.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (*.f64 eps (/.f64 #s(literal 2 binary64) (/.f64 eps x))))
(fma.f64 eps (*.f64 (/.f64 #s(literal 2 binary64) eps) x) eps)
(*.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 eps x)))) (/.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 eps x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) eps) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) eps) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal -2 binary64) eps))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(*.f64 x (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 x (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))) #s(literal 2 binary64)))
(*.f64 x (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))))
(*.f64 x (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))))
(*.f64 x (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x)) (-.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x)) #s(literal 1 binary64))))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 (/.f64 eps x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) eps) x) (+.f64 (*.f64 (/.f64 #s(literal 2 binary64) eps) x) #s(literal -1 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 (/.f64 eps x) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) (fma.f64 (/.f64 #s(literal 2 binary64) eps) x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x eps) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 eps x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) eps) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) eps) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal -2 binary64) eps))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x)) (-.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x)) #s(literal 3 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 (/.f64 eps x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) eps) x) (+.f64 (*.f64 (/.f64 #s(literal 2 binary64) eps) x) #s(literal -1 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 (/.f64 eps x) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) (fma.f64 (/.f64 #s(literal 2 binary64) eps) x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x eps) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 eps x))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) eps) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) eps) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal -2 binary64) eps))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x)) (-.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x)) #s(literal 1 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 (/.f64 eps x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) eps) x) (+.f64 (*.f64 (/.f64 #s(literal 2 binary64) eps) x) #s(literal -1 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 (/.f64 eps x) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) (fma.f64 (/.f64 #s(literal 2 binary64) eps) x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x eps) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 eps x)))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 (/.f64 eps x) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) eps) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) eps) x))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 (/.f64 eps x) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal -2 binary64) eps)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x eps) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal -2 binary64) eps)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 eps x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) eps) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) eps) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal -2 binary64) eps))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x)) (-.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x)) #s(literal 1 binary64))))))
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 8 binary64) (pow.f64 (/.f64 eps x) #s(literal 3 binary64))))) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) eps) x) (+.f64 (*.f64 (/.f64 #s(literal 2 binary64) eps) x) #s(literal -1 binary64))))))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 (/.f64 eps x) #s(literal 3 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) eps) x #s(literal -1 binary64)) (*.f64 x (/.f64 #s(literal -2 binary64) eps)))))
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x eps) #s(literal 3 binary64)))) (fma.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal -1 binary64)) (*.f64 x (/.f64 #s(literal -2 binary64) eps)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 eps x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) eps) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) eps) x))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal 2 binary64) eps) x #s(literal -1 binary64)))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) eps) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) eps) x))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal 2 binary64) eps) x #s(literal -1 binary64)))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal -1 binary64)))
(pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 x (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))) #s(literal 3 binary64))
(*.f64 x (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))) #s(literal 2 binary64))
(*.f64 x (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)) #s(literal 2 binary64)))
(*.f64 x (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))
(log.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))))
(*.f64 x (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))))
(*.f64 x (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)) #s(literal 3 binary64)))
(*.f64 x (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))))
(*.f64 x (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))
(exp.f64 (log1p.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x))))
(*.f64 x (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))
(exp.f64 (*.f64 (log1p.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x))) #s(literal 1 binary64)))
(*.f64 x (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))
(*.f64 x (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64))
(*.f64 x (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 eps x)) #s(literal 1 binary64))
(*.f64 x (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x))) #s(literal 1 binary64))
(*.f64 x (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x))) (sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 eps x))) #s(literal 1 binary64))
(*.f64 x (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))

eval60.0ms (1%)

Compiler

Compiled 7039 to 1674 computations (76.2% saved)

prune61.0ms (1%)

Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New4742476
Fresh000
Picked145
Done011
Total4757482
Accuracy
100.0%
Counts
482 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(fma.f64 eps eps (*.f64 x (*.f64 #s(literal 2 binary64) eps)))
▶88.7%
(+.f64 (*.f64 (/.f64 eps x) (*.f64 eps x)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
✓99.7%
(*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
▶61.9%
(*.f64 x (*.f64 eps #s(literal 2 binary64)))
✓100.0%
(*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))
✓99.9%
(*.f64 eps (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps)))))
✓72.4%
(*.f64 eps eps)
Compiler

Compiled 70 to 45 computations (35.7% saved)

simplify145.0ms (2.4%)

Algorithm
1×egg-herbie
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 eps (*.f64 x #s(literal 2 binary64)))
✓cost-diff0
(*.f64 eps x)
cost-diff0
(/.f64 eps x)
✓cost-diff256
(*.f64 (/.f64 eps x) (*.f64 eps x))
✓cost-diff0
(*.f64 eps #s(literal 2 binary64))
✓cost-diff0
(*.f64 x (*.f64 eps #s(literal 2 binary64)))
Rules
1867×fma-define
826×associate-/r*
698×times-frac
502×associate-/l/
277×*-commutative
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
016184
131170
260170
396151
4112139
5132139
6251139
7631139
82798139
93529139
104263139
114458139
124619139
135074139
146850139
157016139
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 x (*.f64 eps #s(literal 2 binary64)))
x
(*.f64 eps #s(literal 2 binary64))
eps
#s(literal 2 binary64)
(+.f64 (*.f64 (/.f64 eps x) (*.f64 eps x)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 eps x) (*.f64 eps x))
(/.f64 eps x)
eps
x
(*.f64 eps x)
(*.f64 eps (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
(*.f64 x (*.f64 eps #s(literal 2 binary64)))
(*.f64 eps (*.f64 x #s(literal 2 binary64)))
x
(*.f64 eps #s(literal 2 binary64))
eps
#s(literal 2 binary64)
(+.f64 (*.f64 (/.f64 eps x) (*.f64 eps x)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (/.f64 eps x) (*.f64 x eps) (*.f64 x (*.f64 eps #s(literal 2 binary64))))
(*.f64 (*.f64 x eps) (+.f64 (/.f64 eps x) #s(literal 2 binary64)))
(*.f64 (*.f64 x eps) (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) (*.f64 eps #s(literal 1 binary64))))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 (/.f64 eps x) (*.f64 eps x))
(*.f64 (/.f64 eps x) (*.f64 x eps))
(*.f64 x (/.f64 (*.f64 eps eps) x))
(*.f64 eps (*.f64 eps #s(literal 1 binary64)))
(*.f64 eps eps)
(/.f64 eps x)
eps
x
(*.f64 eps x)
(*.f64 x eps)
(*.f64 eps (*.f64 x #s(literal 2 binary64)))
(*.f64 x (*.f64 eps #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)

localize44.0ms (0.7%)

Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 eps (*.f64 x #s(literal 2 binary64)))
✓accuracy100.0%
(*.f64 eps x)
✓accuracy100.0%
(+.f64 (*.f64 (/.f64 eps x) (*.f64 eps x)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
✓accuracy88.6%
(*.f64 (/.f64 eps x) (*.f64 eps x))
✓accuracy100.0%
(*.f64 x (*.f64 eps #s(literal 2 binary64)))
✓accuracy100.0%
(*.f64 eps #s(literal 2 binary64))
Results
31.0ms256×0valid
Compiler

Compiled 50 to 13 computations (74% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 11.0ms (74% of total)
ival-div: 2.0ms (13.5% of total)
ival-add: 1.0ms (6.7% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Counts
6 → 108
Calls
Call 1
Inputs
#<alt (*.f64 x (*.f64 eps #s(literal 2 binary64)))>
#<alt (*.f64 eps #s(literal 2 binary64))>
#<alt (*.f64 (/.f64 eps x) (*.f64 eps x))>
#<alt (*.f64 eps x)>
#<alt (*.f64 eps (*.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 (/.f64 eps x) (*.f64 eps x)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))>
Outputs
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<alt (*.f64 #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) eps)>
#<alt (*.f64 #s(literal 2 binary64) eps)>
#<alt (*.f64 #s(literal 2 binary64) eps)>
#<alt (*.f64 #s(literal 2 binary64) eps)>
#<alt (*.f64 #s(literal 2 binary64) eps)>
#<alt (*.f64 #s(literal 2 binary64) eps)>
#<alt (*.f64 #s(literal 2 binary64) eps)>
#<alt (*.f64 #s(literal 2 binary64) eps)>
#<alt (*.f64 #s(literal 2 binary64) eps)>
#<alt (*.f64 #s(literal 2 binary64) eps)>
#<alt (*.f64 #s(literal 2 binary64) eps)>
#<alt (*.f64 #s(literal 2 binary64) eps)>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<alt (*.f64 #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))>
#<alt (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))>
#<alt (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))>
#<alt (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
Calls

33 calls:

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

rewrite136.0ms (2.2%)

Algorithm
1×batch-egg-rewrite
Rules
682×log-prod
680×log1p-expm1-u
680×expm1-log1p-u
642×fma-define
246×fmm-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
016143
1233126
23131126
Stop Event
1×node limit
Counts
6 → 190
Calls
Call 1
Inputs
(*.f64 x (*.f64 eps #s(literal 2 binary64)))
(*.f64 eps #s(literal 2 binary64))
(*.f64 (/.f64 eps x) (*.f64 eps x))
(*.f64 eps x)
(*.f64 eps (*.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 (/.f64 eps x) (*.f64 eps x)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
Outputs
(+.f64 (*.f64 x eps) (*.f64 x eps))
(+.f64 #s(literal 0 binary64) (*.f64 x (*.f64 eps #s(literal 2 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) #s(literal 2 binary64)) x)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) #s(literal 2 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 (exp.f64 (log1p.f64 (*.f64 x (*.f64 eps #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (*.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 eps #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (*.f64 x eps) #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 eps #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 x eps) #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 eps) #s(literal 2 binary64)) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 eps #s(literal 2 binary64))))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x eps) #s(literal 3 binary64)) #s(literal 8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 eps #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 eps #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (*.f64 eps #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 eps #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 eps eps)
(+.f64 #s(literal 0 binary64) (*.f64 eps #s(literal 2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (exp.f64 eps) #s(literal 2 binary64))))) (log.f64 (cbrt.f64 (pow.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 (exp.f64 (log1p.f64 (*.f64 eps #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 eps #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64))
(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)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 eps #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 eps #s(literal 2 binary64))))
(exp.f64 (log.f64 (*.f64 eps #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) x)) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))) #s(literal 1 binary64))
(/.f64 (*.f64 x eps) (/.f64 x eps))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) x)
(/.f64 (neg.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (neg.f64 x))
(/.f64 (*.f64 (*.f64 x eps) (neg.f64 eps)) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 eps) (*.f64 x eps)) (neg.f64 x))
(/.f64 (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) #s(literal 1 binary64)) x)
(/.f64 (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(/.f64 (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
(exp.f64 (log.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x eps))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) x)) (cbrt.f64 (pow.f64 (exp.f64 eps) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.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 (exp.f64 (log1p.f64 (*.f64 x eps))) #s(literal 1 binary64))
(pow.f64 (*.f64 x eps) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x eps)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x eps) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x eps)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x eps) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 eps) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x eps))))
(cbrt.f64 (pow.f64 (*.f64 x eps) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x eps)))
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(fma.f64 (*.f64 (*.f64 x eps) (sqrt.f64 (/.f64 eps x))) (sqrt.f64 (/.f64 eps x)) (*.f64 x (*.f64 eps #s(literal 2 binary64))))
(fma.f64 (*.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) #s(literal 1 binary64)) x (*.f64 x (*.f64 eps #s(literal 2 binary64))))
(fma.f64 (*.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 x (*.f64 eps #s(literal 2 binary64))))
(fma.f64 (*.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x (*.f64 eps #s(literal 2 binary64))))

simplify123.0ms (2%)

Algorithm
1×egg-herbie
Rules
686×associate-/r*
419×cancel-sign-sub-inv
330×distribute-lft-neg-in
313×distribute-rgt-neg-in
239×fmm-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03987746
19156879
233316729
Stop Event
1×node limit
Counts
298 → 209
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 #s(literal 2 binary64) eps)
(*.f64 #s(literal 2 binary64) eps)
(*.f64 #s(literal 2 binary64) eps)
(*.f64 #s(literal 2 binary64) eps)
(*.f64 #s(literal 2 binary64) eps)
(*.f64 #s(literal 2 binary64) eps)
(*.f64 #s(literal 2 binary64) eps)
(*.f64 #s(literal 2 binary64) eps)
(*.f64 #s(literal 2 binary64) eps)
(*.f64 #s(literal 2 binary64) eps)
(*.f64 #s(literal 2 binary64) eps)
(*.f64 #s(literal 2 binary64) eps)
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 #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))
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(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(pow.f64 eps #s(literal 2 binary64))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(pow.f64 eps #s(literal 2 binary64))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(pow.f64 eps #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(+.f64 (*.f64 x eps) (*.f64 x eps))
(+.f64 #s(literal 0 binary64) (*.f64 x (*.f64 eps #s(literal 2 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) #s(literal 2 binary64)) x)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) #s(literal 2 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 (exp.f64 (log1p.f64 (*.f64 x (*.f64 eps #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (*.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 eps #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (*.f64 x eps) #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 eps #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 x eps) #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 eps) #s(literal 2 binary64)) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 eps #s(literal 2 binary64))))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x eps) #s(literal 3 binary64)) #s(literal 8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 eps #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 eps #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (*.f64 eps #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 eps #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 eps eps)
(+.f64 #s(literal 0 binary64) (*.f64 eps #s(literal 2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (exp.f64 eps) #s(literal 2 binary64))))) (log.f64 (cbrt.f64 (pow.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 (exp.f64 (log1p.f64 (*.f64 eps #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 eps #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64))
(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)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 eps #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 eps #s(literal 2 binary64))))
(exp.f64 (log.f64 (*.f64 eps #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) x)) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))) #s(literal 1 binary64))
(/.f64 (*.f64 x eps) (/.f64 x eps))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) x)
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(/.f64 (*.f64 (*.f64 x eps) (neg.f64 eps)) (neg.f64 x))
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(/.f64 (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) #s(literal 1 binary64)) x)
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(pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 2 binary64)))
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
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(*.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 x eps) (+.f64 (/.f64 eps x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (*.f64 x eps) (+.f64 (/.f64 eps x) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (*.f64 (*.f64 x eps) (+.f64 (/.f64 eps x) #s(literal 2 binary64)))) (sqrt.f64 (*.f64 (*.f64 x eps) (+.f64 (/.f64 eps x) #s(literal 2 binary64)))))
(*.f64 (fma.f64 (pow.f64 (*.f64 x eps) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 eps #s(literal 2 binary64))) (-.f64 (*.f64 x (*.f64 eps #s(literal 2 binary64))) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 x eps) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x eps) (-.f64 (/.f64 eps x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x (*.f64 eps #s(literal 2 binary64))) (-.f64 (*.f64 x (*.f64 eps #s(literal 2 binary64))) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 2 binary64))) (fma.f64 (pow.f64 (*.f64 x eps) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x eps) (-.f64 (/.f64 eps x) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 x eps) #s(literal 2 binary64)) #s(literal 4 binary64)))))
(/.f64 (fma.f64 (pow.f64 (*.f64 x eps) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 3 binary64))) (fma.f64 (*.f64 x (*.f64 eps #s(literal 2 binary64))) (-.f64 (*.f64 x (*.f64 eps #s(literal 2 binary64))) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 (*.f64 x eps) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (*.f64 x eps) #s(literal 2 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (*.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (*.f64 x (*.f64 eps #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 x eps) #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (*.f64 x eps) (-.f64 (/.f64 eps x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 x eps) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 x (*.f64 eps #s(literal 2 binary64))) (-.f64 (*.f64 x (*.f64 eps #s(literal 2 binary64))) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 x eps) #s(literal 2 binary64)) #s(literal 4 binary64)))) (neg.f64 (*.f64 (*.f64 x eps) (-.f64 (/.f64 eps x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x eps) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 2 binary64))) (-.f64 (*.f64 x (*.f64 eps #s(literal 2 binary64))) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
(pow.f64 (*.f64 (*.f64 x eps) (+.f64 (/.f64 eps x) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 x eps) (+.f64 (/.f64 eps x) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 x eps) (+.f64 (/.f64 eps x) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (*.f64 x eps) (+.f64 (/.f64 eps x) #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 x eps) (+.f64 (/.f64 eps x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 (*.f64 x eps) (+.f64 (/.f64 eps x) #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 x eps) (+.f64 (/.f64 eps x) #s(literal 2 binary64))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 eps #s(literal 2 binary64)))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))) (pow.f64 (pow.f64 (exp.f64 eps) #s(literal 2 binary64)) x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 eps #s(literal 2 binary64)))))))
(log.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 eps) #s(literal 2 binary64)) x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 eps #s(literal 2 binary64))))) (pow.f64 (exp.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 eps #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 x eps) (+.f64 (/.f64 eps x) #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 x eps) (+.f64 (/.f64 eps x) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 x eps) (+.f64 (/.f64 eps x) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 (*.f64 x eps) (+.f64 (/.f64 eps x) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x eps) (+.f64 (/.f64 eps x) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 x (*.f64 eps #s(literal 2 binary64)) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(fma.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (*.f64 x (*.f64 eps #s(literal 2 binary64))))
(fma.f64 eps (*.f64 x #s(literal 2 binary64)) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(fma.f64 eps (/.f64 (*.f64 x eps) x) (*.f64 x (*.f64 eps #s(literal 2 binary64))))
(fma.f64 eps (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x eps)) (*.f64 x (*.f64 eps #s(literal 2 binary64))))
(fma.f64 eps (*.f64 x (/.f64 eps x)) (*.f64 x (*.f64 eps #s(literal 2 binary64))))
(fma.f64 #s(literal 2 binary64) (*.f64 x eps) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(fma.f64 (*.f64 eps #s(literal 2 binary64)) x (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(fma.f64 (/.f64 eps x) (*.f64 x eps) (*.f64 x (*.f64 eps #s(literal 2 binary64))))
(fma.f64 (*.f64 x eps) #s(literal 2 binary64) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(fma.f64 (*.f64 x eps) (/.f64 eps x) (*.f64 x (*.f64 eps #s(literal 2 binary64))))
(fma.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) #s(literal 1 binary64) (*.f64 x (*.f64 eps #s(literal 2 binary64))))
(fma.f64 (*.f64 x #s(literal 2 binary64)) eps (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(fma.f64 (*.f64 x (*.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(fma.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (*.f64 x (*.f64 eps #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps #s(literal 2 binary64))) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 eps x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 eps x)) (*.f64 x eps)) (*.f64 x (*.f64 eps #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 eps #s(literal 2 binary64))) x) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) eps) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(fma.f64 (cbrt.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) #s(literal 2 binary64)) (*.f64 x (*.f64 eps #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) (*.f64 x (*.f64 eps #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 eps #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 eps #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 eps #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (*.f64 eps #s(literal 2 binary64)))) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x eps)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x eps)) #s(literal 2 binary64)) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x eps)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x eps)) (/.f64 eps x)) (*.f64 x (*.f64 eps #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (*.f64 eps #s(literal 2 binary64))) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (*.f64 (cbrt.f64 eps) (*.f64 x #s(literal 2 binary64))) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(fma.f64 (sqrt.f64 (/.f64 eps x)) (*.f64 (sqrt.f64 (/.f64 eps x)) (*.f64 x eps)) (*.f64 x (*.f64 eps #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 eps #s(literal 2 binary64))) (*.f64 (sqrt.f64 (*.f64 eps #s(literal 2 binary64))) x) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(fma.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) eps) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(fma.f64 (sqrt.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) (sqrt.f64 (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) (*.f64 x (*.f64 eps #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 x (*.f64 eps #s(literal 2 binary64)))) (sqrt.f64 (*.f64 x (*.f64 eps #s(literal 2 binary64)))) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(fma.f64 (sqrt.f64 (*.f64 x eps)) (*.f64 (sqrt.f64 (*.f64 x eps)) #s(literal 2 binary64)) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(fma.f64 (sqrt.f64 (*.f64 x eps)) (*.f64 (sqrt.f64 (*.f64 x eps)) (/.f64 eps x)) (*.f64 x (*.f64 eps #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 eps #s(literal 2 binary64))) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(fma.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (*.f64 x #s(literal 2 binary64))) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(fma.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) x (*.f64 x (*.f64 eps #s(literal 2 binary64))))
(fma.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) (/.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 eps #s(literal 2 binary64))))
(fma.f64 (/.f64 eps (sqrt.f64 x)) (/.f64 (*.f64 x eps) (sqrt.f64 x)) (*.f64 x (*.f64 eps #s(literal 2 binary64))))
(fma.f64 (/.f64 eps #s(literal 1 binary64)) (/.f64 (*.f64 x eps) x) (*.f64 x (*.f64 eps #s(literal 2 binary64))))
(fma.f64 (/.f64 eps (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 x eps) (cbrt.f64 x)) (*.f64 x (*.f64 eps #s(literal 2 binary64))))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (*.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 eps #s(literal 2 binary64))) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 eps #s(literal 2 binary64)))) (sqrt.f64 (*.f64 eps #s(literal 2 binary64))) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(fma.f64 (*.f64 eps (pow.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(fma.f64 (*.f64 eps (sqrt.f64 (*.f64 x #s(literal 2 binary64)))) (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(fma.f64 (*.f64 (*.f64 eps #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(fma.f64 (*.f64 (*.f64 eps #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(fma.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (cbrt.f64 eps) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(fma.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 eps)) (sqrt.f64 eps) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(fma.f64 (*.f64 (/.f64 eps x) x) eps (*.f64 x (*.f64 eps #s(literal 2 binary64))))
(fma.f64 (*.f64 (/.f64 eps x) (pow.f64 (cbrt.f64 (*.f64 x eps)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x eps)) (*.f64 x (*.f64 eps #s(literal 2 binary64))))
(fma.f64 (*.f64 (/.f64 eps x) (sqrt.f64 (*.f64 x eps))) (sqrt.f64 (*.f64 x eps)) (*.f64 x (*.f64 eps #s(literal 2 binary64))))
(fma.f64 (*.f64 (*.f64 x eps) (pow.f64 (cbrt.f64 (/.f64 eps x)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 eps x)) (*.f64 x (*.f64 eps #s(literal 2 binary64))))
(fma.f64 (*.f64 (*.f64 x eps) (sqrt.f64 (/.f64 eps x))) (sqrt.f64 (/.f64 eps x)) (*.f64 x (*.f64 eps #s(literal 2 binary64))))
(fma.f64 (*.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) #s(literal 1 binary64)) x (*.f64 x (*.f64 eps #s(literal 2 binary64))))
(fma.f64 (*.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 x (*.f64 eps #s(literal 2 binary64))))
(fma.f64 (*.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x (*.f64 eps #s(literal 2 binary64))))
Outputs
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) eps)
(*.f64 #s(literal 2 binary64) eps)
(*.f64 #s(literal 2 binary64) eps)
(*.f64 #s(literal 2 binary64) eps)
(*.f64 #s(literal 2 binary64) eps)
(*.f64 #s(literal 2 binary64) eps)
(*.f64 #s(literal 2 binary64) eps)
(*.f64 #s(literal 2 binary64) eps)
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(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 eps #s(literal 2 binary64))) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (*.f64 x #s(literal 2 binary64))) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) x (*.f64 x (*.f64 eps #s(literal 2 binary64))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) (/.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 eps #s(literal 2 binary64))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (/.f64 eps (sqrt.f64 x)) (/.f64 (*.f64 x eps) (sqrt.f64 x)) (*.f64 x (*.f64 eps #s(literal 2 binary64))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (/.f64 eps #s(literal 1 binary64)) (/.f64 (*.f64 x eps) x) (*.f64 x (*.f64 eps #s(literal 2 binary64))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (/.f64 eps (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 x eps) (cbrt.f64 x)) (*.f64 x (*.f64 eps #s(literal 2 binary64))))
(fma.f64 (/.f64 eps (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (*.f64 x (/.f64 eps (cbrt.f64 x))) (*.f64 #s(literal 2 binary64) (*.f64 eps x)))
(fma.f64 (/.f64 eps (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (*.f64 eps (/.f64 x (cbrt.f64 x))) (*.f64 #s(literal 2 binary64) (*.f64 eps x)))
(fma.f64 (/.f64 eps (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (*.f64 eps (/.f64 x (cbrt.f64 x))) (*.f64 eps (*.f64 #s(literal 2 binary64) x)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (*.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 eps #s(literal 2 binary64))) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 eps #s(literal 2 binary64)))) (sqrt.f64 (*.f64 eps #s(literal 2 binary64))) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (*.f64 eps (pow.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (*.f64 eps (sqrt.f64 (*.f64 x #s(literal 2 binary64)))) (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (*.f64 (*.f64 eps #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (*.f64 (*.f64 eps #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (cbrt.f64 eps) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 eps)) (sqrt.f64 eps) (*.f64 x (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (*.f64 (/.f64 eps x) x) eps (*.f64 x (*.f64 eps #s(literal 2 binary64))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (*.f64 (/.f64 eps x) (pow.f64 (cbrt.f64 (*.f64 x eps)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x eps)) (*.f64 x (*.f64 eps #s(literal 2 binary64))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (*.f64 (/.f64 eps x) (sqrt.f64 (*.f64 x eps))) (sqrt.f64 (*.f64 x eps)) (*.f64 x (*.f64 eps #s(literal 2 binary64))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (*.f64 (*.f64 x eps) (pow.f64 (cbrt.f64 (/.f64 eps x)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 eps x)) (*.f64 x (*.f64 eps #s(literal 2 binary64))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (*.f64 (*.f64 x eps) (sqrt.f64 (/.f64 eps x))) (sqrt.f64 (/.f64 eps x)) (*.f64 x (*.f64 eps #s(literal 2 binary64))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (*.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) #s(literal 1 binary64)) x (*.f64 x (*.f64 eps #s(literal 2 binary64))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (*.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 x (*.f64 eps #s(literal 2 binary64))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (*.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x (*.f64 eps #s(literal 2 binary64))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))

eval29.0ms (0.5%)

Compiler

Compiled 4052 to 717 computations (82.3% saved)

prune34.0ms (0.6%)

Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New2481249
Fresh000
Picked022
Done145
Total2497256
Accuracy
100.0%
Counts
256 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(fma.f64 eps eps (*.f64 x (*.f64 #s(literal 2 binary64) eps)))
✓88.7%
(+.f64 (*.f64 (/.f64 eps x) (*.f64 eps x)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
▶88.6%
(*.f64 (*.f64 x eps) (+.f64 (/.f64 eps x) #s(literal 2 binary64)))
✓99.7%
(*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
✓61.9%
(*.f64 x (*.f64 eps #s(literal 2 binary64)))
✓100.0%
(*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))
✓72.4%
(*.f64 eps eps)
Compiler

Compiled 68 to 43 computations (36.8% saved)

simplify140.0ms (2.3%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff-6144
(*.f64 (*.f64 x eps) (+.f64 (/.f64 eps x) #s(literal 2 binary64)))
cost-diff0
(/.f64 eps x)
✓cost-diff0
(+.f64 (/.f64 eps x) #s(literal 2 binary64))
cost-diff0
(*.f64 x eps)
Rules
1866×fma-define
828×associate-/r*
696×times-frac
503×associate-/l/
274×*-commutative
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01291
12391
26091
311091
411784
512378
614378
726278
865678
9285278
10358178
11431578
12451078
13467178
14512678
15689478
16706178
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 (*.f64 x eps) (+.f64 (/.f64 eps x) #s(literal 2 binary64)))
(*.f64 x eps)
x
eps
(+.f64 (/.f64 eps x) #s(literal 2 binary64))
(/.f64 eps x)
#s(literal 2 binary64)
Outputs
(*.f64 (*.f64 x eps) (+.f64 (/.f64 eps x) #s(literal 2 binary64)))
(*.f64 x (*.f64 eps (+.f64 (/.f64 eps x) #s(literal 2 binary64))))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) (*.f64 eps #s(literal 1 binary64))))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 x eps)
x
eps
(+.f64 (/.f64 eps x) #s(literal 2 binary64))
(/.f64 eps x)
#s(literal 2 binary64)

localize26.0ms (0.4%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 eps x)
✓accuracy100.0%
(+.f64 (/.f64 eps x) #s(literal 2 binary64))
accuracy100.0%
(*.f64 x eps)
✓accuracy88.6%
(*.f64 (*.f64 x eps) (+.f64 (/.f64 eps x) #s(literal 2 binary64)))
Results
18.0ms256×0valid
Compiler

Compiled 25 to 9 computations (64% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 4.0ms (53.1% of total)
ival-div: 2.0ms (26.6% of total)
ival-add: 1.0ms (13.3% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0%)

Counts
2 → 48
Calls
Call 1
Inputs
#<alt (+.f64 (/.f64 eps x) #s(literal 2 binary64))>
#<alt (*.f64 (*.f64 x eps) (+.f64 (/.f64 eps x) #s(literal 2 binary64)))>
Outputs
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (/.f64 eps x))>
#<alt (+.f64 #s(literal 2 binary64) (/.f64 eps x))>
#<alt (+.f64 #s(literal 2 binary64) (/.f64 eps x))>
#<alt (/.f64 eps x)>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (/.f64 eps x)>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (/.f64 eps x)>
#<alt (/.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) x)>
#<alt (/.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) x)>
#<alt (/.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) x)>
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (/.f64 eps x))>
#<alt (+.f64 #s(literal 2 binary64) (/.f64 eps x))>
#<alt (+.f64 #s(literal 2 binary64) (/.f64 eps x))>
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (/.f64 eps x))>
#<alt (+.f64 #s(literal 2 binary64) (/.f64 eps x))>
#<alt (+.f64 #s(literal 2 binary64) (/.f64 eps x))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<alt (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))>
#<alt (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))>
#<alt (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))>
Calls

12 calls:

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

rewrite103.0ms (1.7%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01256
115456
2225056
Stop Event
1×node limit
Counts
2 → 120
Calls
Call 1
Inputs
(+.f64 (/.f64 eps x) #s(literal 2 binary64))
(*.f64 (*.f64 x eps) (+.f64 (/.f64 eps x) #s(literal 2 binary64)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 eps x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) (+.f64 (/.f64 eps x) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (/.f64 eps x) #s(literal -2 binary64))))
(*.f64 (+.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (+.f64 (/.f64 eps x) #s(literal 2 binary64)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 eps x) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (+.f64 (/.f64 eps x) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 eps x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 eps x) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (/.f64 eps x) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 eps x) #s(literal 2 binary64))) (sqrt.f64 (+.f64 (/.f64 eps x) #s(literal 2 binary64))))
(*.f64 (+.f64 (pow.f64 (/.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 eps x) #s(literal 2 binary64))))))
(*.f64 (+.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 eps x) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 eps x) #s(literal 2 binary64)))) (+.f64 (pow.f64 (/.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 eps x) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -4 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64)) (+.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 eps x) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) (*.f64 (/.f64 eps x) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -4 binary64)) (+.f64 (/.f64 eps x) #s(literal -2 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64))) (neg.f64 (+.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 eps x) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -4 binary64))) (neg.f64 (+.f64 (/.f64 eps x) #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (/.f64 eps x) #s(literal 2 binary64))) (-.f64 #s(literal 2 binary64) (/.f64 eps x)))
(pow.f64 (+.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 eps x) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 eps x) #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 (+.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 eps x) #s(literal 2 binary64)))) (+.f64 (pow.f64 (/.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (/.f64 eps x) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -4 binary64))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (/.f64 eps x) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (/.f64 eps x) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 eps x) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 eps x) #s(literal 2 binary64))))
(exp.f64 (log.f64 (+.f64 (/.f64 eps x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 eps x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 eps x) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 (/.f64 eps x) #s(literal 2 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 eps x) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(fma.f64 eps (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(fma.f64 (/.f64 eps x) #s(literal 1 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 eps x) #s(literal 2 binary64))
(fma.f64 (cbrt.f64 (/.f64 eps x)) (pow.f64 (cbrt.f64 (/.f64 eps x)) #s(literal 2 binary64)) #s(literal 2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 eps x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 eps x)) #s(literal 2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (/.f64 (cbrt.f64 eps) x) #s(literal 2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (*.f64 (cbrt.f64 eps) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(fma.f64 (sqrt.f64 (/.f64 eps x)) (sqrt.f64 (/.f64 eps x)) #s(literal 2 binary64))
(fma.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 eps) x) #s(literal 2 binary64))
(fma.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(fma.f64 (neg.f64 eps) (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) eps #s(literal 2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 eps (cbrt.f64 x)) #s(literal 2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 eps (sqrt.f64 x)) #s(literal 2 binary64))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 eps) x) #s(literal 2 binary64))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 eps x)) #s(literal 2 binary64))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 eps) (sqrt.f64 x)) #s(literal 2 binary64))
(fma.f64 (/.f64 (sqrt.f64 eps) #s(literal 1 binary64)) (/.f64 (sqrt.f64 eps) x) #s(literal 2 binary64))
(fma.f64 (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 eps) (cbrt.f64 x)) #s(literal 2 binary64))
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) (*.f64 eps (*.f64 x (/.f64 eps x))))
(+.f64 (*.f64 eps (*.f64 x (/.f64 eps x))) (*.f64 (*.f64 #s(literal 2 binary64) eps) x))
(+.f64 #s(literal 0 binary64) (*.f64 eps (*.f64 x (+.f64 (/.f64 eps x) #s(literal 2 binary64)))))
(+.f64 (*.f64 (*.f64 eps (*.f64 x (/.f64 eps x))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) #s(literal 1 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 eps x) #s(literal 2 binary64))) (*.f64 eps x))) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 eps x) #s(literal 2 binary64))) (*.f64 eps x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 eps x) #s(literal 2 binary64))) (*.f64 eps x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 eps x) #s(literal 2 binary64))) (*.f64 eps x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 eps x) #s(literal 2 binary64))) (*.f64 eps x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (*.f64 x (+.f64 (/.f64 eps x) #s(literal 2 binary64)))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 eps (*.f64 x (/.f64 eps x))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) #s(literal 3 binary64))) (fma.f64 (*.f64 eps (*.f64 x (/.f64 eps x))) (*.f64 eps (*.f64 x (/.f64 eps x))) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) (*.f64 (*.f64 #s(literal 2 binary64) eps) x)) (*.f64 (*.f64 eps (*.f64 x (/.f64 eps x))) (*.f64 (*.f64 #s(literal 2 binary64) eps) x)))))
(/.f64 (fma.f64 (*.f64 eps (*.f64 x (/.f64 eps x))) (*.f64 eps (*.f64 x (/.f64 eps x))) (neg.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) (*.f64 (*.f64 #s(literal 2 binary64) eps) x)))) (-.f64 (*.f64 eps (*.f64 x (/.f64 eps x))) (*.f64 (*.f64 #s(literal 2 binary64) eps) x)))
(/.f64 (*.f64 (*.f64 eps x) (+.f64 (pow.f64 (/.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64))) (+.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 eps x) #s(literal 2 binary64)))))
(/.f64 (*.f64 (*.f64 eps x) (+.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -4 binary64))) (+.f64 (/.f64 eps x) #s(literal -2 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64)) (*.f64 eps x)) (+.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 eps x) #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -4 binary64)) (*.f64 eps x)) (+.f64 (/.f64 eps x) #s(literal -2 binary64)))
(pow.f64 (*.f64 eps (*.f64 x (+.f64 (/.f64 eps x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x (+.f64 (/.f64 eps x) #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (*.f64 x (+.f64 (/.f64 eps x) #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (*.f64 x (+.f64 (/.f64 eps x) #s(literal 2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps (*.f64 x (+.f64 (/.f64 eps x) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 eps x) #s(literal 2 binary64))) (*.f64 eps x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (*.f64 x (+.f64 (/.f64 eps x) #s(literal 2 binary64)))))))
(log.f64 (*.f64 (exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x)) (exp.f64 (*.f64 eps (*.f64 x (/.f64 eps x))))))
(cbrt.f64 (pow.f64 (*.f64 eps (*.f64 x (+.f64 (/.f64 eps x) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 eps x) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)) (pow.f64 (+.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 eps (*.f64 x (+.f64 (/.f64 eps x) #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 eps (*.f64 x (+.f64 (/.f64 eps x) #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.f64 eps (*.f64 x (+.f64 (/.f64 eps x) #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (*.f64 x (+.f64 (/.f64 eps x) #s(literal 2 binary64))))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 eps (*.f64 x (+.f64 (/.f64 eps x) #s(literal 2 binary64)))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 eps (*.f64 x (+.f64 (/.f64 eps x) #s(literal 2 binary64)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 eps (*.f64 x (+.f64 (/.f64 eps x) #s(literal 2 binary64)))))) #s(literal 2 binary64)))
(fma.f64 eps (*.f64 x #s(literal 2 binary64)) (*.f64 eps (*.f64 x (/.f64 eps x))))
(fma.f64 eps (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 eps x)) (*.f64 (*.f64 #s(literal 2 binary64) eps) x))
(fma.f64 eps (*.f64 x (/.f64 eps x)) (*.f64 (*.f64 #s(literal 2 binary64) eps) x))
(fma.f64 x (*.f64 eps (/.f64 eps x)) (*.f64 (*.f64 #s(literal 2 binary64) eps) x))
(fma.f64 x (*.f64 eps #s(literal 2 binary64)) (*.f64 eps (*.f64 x (/.f64 eps x))))
(fma.f64 (/.f64 eps x) (*.f64 eps x) (*.f64 (*.f64 #s(literal 2 binary64) eps) x))
(fma.f64 #s(literal 2 binary64) (*.f64 eps x) (*.f64 eps (*.f64 x (/.f64 eps x))))
(fma.f64 (*.f64 eps x) (/.f64 eps x) (*.f64 (*.f64 #s(literal 2 binary64) eps) x))
(fma.f64 (*.f64 eps x) #s(literal 2 binary64) (*.f64 eps (*.f64 x (/.f64 eps x))))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) eps) x) (*.f64 eps (*.f64 x (/.f64 eps x))))
(fma.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 x (/.f64 eps x))) (*.f64 (*.f64 #s(literal 2 binary64) eps) x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 eps x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 eps x)) (*.f64 eps x)) (*.f64 (*.f64 #s(literal 2 binary64) eps) x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 eps x)) #s(literal 2 binary64)) (*.f64 eps (*.f64 x (/.f64 eps x))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 eps x)) (/.f64 eps x)) (*.f64 (*.f64 #s(literal 2 binary64) eps) x))
(fma.f64 (sqrt.f64 (/.f64 eps x)) (*.f64 (sqrt.f64 (/.f64 eps x)) (*.f64 eps x)) (*.f64 (*.f64 #s(literal 2 binary64) eps) x))
(fma.f64 (sqrt.f64 (*.f64 eps x)) (*.f64 (sqrt.f64 (*.f64 eps x)) #s(literal 2 binary64)) (*.f64 eps (*.f64 x (/.f64 eps x))))
(fma.f64 (sqrt.f64 (*.f64 eps x)) (*.f64 (sqrt.f64 (*.f64 eps x)) (/.f64 eps x)) (*.f64 (*.f64 #s(literal 2 binary64) eps) x))
(fma.f64 (*.f64 eps (*.f64 x (/.f64 eps x))) #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) #s(literal 1 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x)) (cbrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x))) (cbrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x)) (*.f64 eps (*.f64 x (/.f64 eps x))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 eps (*.f64 x (/.f64 eps x)))) (cbrt.f64 (*.f64 eps (*.f64 x (/.f64 eps x))))) (cbrt.f64 (*.f64 eps (*.f64 x (/.f64 eps x)))) (*.f64 (*.f64 #s(literal 2 binary64) eps) x))
(fma.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x)) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x)) (*.f64 eps (*.f64 x (/.f64 eps x))))
(fma.f64 (sqrt.f64 (*.f64 eps (*.f64 x (/.f64 eps x)))) (sqrt.f64 (*.f64 eps (*.f64 x (/.f64 eps x)))) (*.f64 (*.f64 #s(literal 2 binary64) eps) x))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 eps x)) (sqrt.f64 (*.f64 eps x))) (*.f64 (sqrt.f64 (/.f64 eps x)) (sqrt.f64 (*.f64 eps x))) (*.f64 (*.f64 #s(literal 2 binary64) eps) x))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 eps x)) (sqrt.f64 (/.f64 eps x))) (*.f64 (sqrt.f64 (*.f64 eps x)) (sqrt.f64 (/.f64 eps x))) (*.f64 (*.f64 #s(literal 2 binary64) eps) x))
(fma.f64 (*.f64 (/.f64 eps x) eps) x (*.f64 (*.f64 #s(literal 2 binary64) eps) x))
(fma.f64 (*.f64 #s(literal 2 binary64) eps) x (*.f64 eps (*.f64 x (/.f64 eps x))))
(fma.f64 (*.f64 (*.f64 eps x) eps) (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 #s(literal 2 binary64) eps) x))
(fma.f64 (*.f64 #s(literal 2 binary64) x) eps (*.f64 eps (*.f64 x (/.f64 eps x))))
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (*.f64 eps x)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 eps x)) (*.f64 eps (*.f64 x (/.f64 eps x))))
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 eps x))) (sqrt.f64 (*.f64 eps x)) (*.f64 eps (*.f64 x (/.f64 eps x))))
(fma.f64 (*.f64 (/.f64 eps x) x) eps (*.f64 (*.f64 #s(literal 2 binary64) eps) x))
(fma.f64 (*.f64 (/.f64 eps x) (pow.f64 (cbrt.f64 (*.f64 eps x)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 eps x)) (*.f64 (*.f64 #s(literal 2 binary64) eps) x))
(fma.f64 (*.f64 (/.f64 eps x) (sqrt.f64 (*.f64 eps x))) (sqrt.f64 (*.f64 eps x)) (*.f64 (*.f64 #s(literal 2 binary64) eps) x))
(fma.f64 (*.f64 (*.f64 eps x) (pow.f64 (cbrt.f64 (/.f64 eps x)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 eps x)) (*.f64 (*.f64 #s(literal 2 binary64) eps) x))
(fma.f64 (*.f64 (*.f64 eps x) (sqrt.f64 (/.f64 eps x))) (sqrt.f64 (/.f64 eps x)) (*.f64 (*.f64 #s(literal 2 binary64) eps) x))

simplify129.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
735×fmm-def
615×fma-define
419×*-commutative
317×exp-prod
252×distribute-lft-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
03175704
17565074
221224701
370164683
Stop Event
1×node limit
Counts
168 → 164
Calls
Call 1
Inputs
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (/.f64 eps x))
(+.f64 #s(literal 2 binary64) (/.f64 eps x))
(+.f64 #s(literal 2 binary64) (/.f64 eps x))
(/.f64 eps x)
(*.f64 eps (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 eps (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 eps (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 eps x)
(*.f64 eps (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 eps (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 eps (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 eps x)
(/.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) x)
(/.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) x)
(/.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) x)
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (/.f64 eps x))
(+.f64 #s(literal 2 binary64) (/.f64 eps x))
(+.f64 #s(literal 2 binary64) (/.f64 eps x))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (/.f64 eps x))
(+.f64 #s(literal 2 binary64) (/.f64 eps x))
(+.f64 #s(literal 2 binary64) (/.f64 eps x))
(pow.f64 eps #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(pow.f64 eps #s(literal 2 binary64))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(pow.f64 eps #s(literal 2 binary64))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 eps x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) (+.f64 (/.f64 eps x) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (/.f64 eps x) #s(literal -2 binary64))))
(*.f64 (+.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (+.f64 (/.f64 eps x) #s(literal 2 binary64)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 eps x) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (+.f64 (/.f64 eps x) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 eps x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 eps x) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (/.f64 eps x) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 eps x) #s(literal 2 binary64))) (sqrt.f64 (+.f64 (/.f64 eps x) #s(literal 2 binary64))))
(*.f64 (+.f64 (pow.f64 (/.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 eps x) #s(literal 2 binary64))))))
(*.f64 (+.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 eps x) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 eps x) #s(literal 2 binary64)))) (+.f64 (pow.f64 (/.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 eps x) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -4 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64)) (+.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 eps x) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) (*.f64 (/.f64 eps x) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -4 binary64)) (+.f64 (/.f64 eps x) #s(literal -2 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64))) (neg.f64 (+.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 eps x) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -4 binary64))) (neg.f64 (+.f64 (/.f64 eps x) #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (/.f64 eps x) #s(literal 2 binary64))) (-.f64 #s(literal 2 binary64) (/.f64 eps x)))
(pow.f64 (+.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 eps x) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 eps x) #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 (+.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 eps x) #s(literal 2 binary64)))) (+.f64 (pow.f64 (/.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (/.f64 eps x) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -4 binary64))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (/.f64 eps x) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (/.f64 eps x) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 eps x) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 eps x) #s(literal 2 binary64))))
(exp.f64 (log.f64 (+.f64 (/.f64 eps x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 eps x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 eps x) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 (/.f64 eps x) #s(literal 2 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 eps x) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(fma.f64 eps (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(fma.f64 (/.f64 eps x) #s(literal 1 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 eps x) #s(literal 2 binary64))
(fma.f64 (cbrt.f64 (/.f64 eps x)) (pow.f64 (cbrt.f64 (/.f64 eps x)) #s(literal 2 binary64)) #s(literal 2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 eps x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 eps x)) #s(literal 2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (/.f64 (cbrt.f64 eps) x) #s(literal 2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (*.f64 (cbrt.f64 eps) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(fma.f64 (sqrt.f64 (/.f64 eps x)) (sqrt.f64 (/.f64 eps x)) #s(literal 2 binary64))
(fma.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 eps) x) #s(literal 2 binary64))
(fma.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(fma.f64 (neg.f64 eps) (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) eps #s(literal 2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 eps (cbrt.f64 x)) #s(literal 2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 eps (sqrt.f64 x)) #s(literal 2 binary64))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 eps) x) #s(literal 2 binary64))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 eps x)) #s(literal 2 binary64))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 eps) (sqrt.f64 x)) #s(literal 2 binary64))
(fma.f64 (/.f64 (sqrt.f64 eps) #s(literal 1 binary64)) (/.f64 (sqrt.f64 eps) x) #s(literal 2 binary64))
(fma.f64 (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 eps) (cbrt.f64 x)) #s(literal 2 binary64))
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) (*.f64 eps (*.f64 x (/.f64 eps x))))
(+.f64 (*.f64 eps (*.f64 x (/.f64 eps x))) (*.f64 (*.f64 #s(literal 2 binary64) eps) x))
(+.f64 #s(literal 0 binary64) (*.f64 eps (*.f64 x (+.f64 (/.f64 eps x) #s(literal 2 binary64)))))
(+.f64 (*.f64 (*.f64 eps (*.f64 x (/.f64 eps x))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) #s(literal 1 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 eps x) #s(literal 2 binary64))) (*.f64 eps x))) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 eps x) #s(literal 2 binary64))) (*.f64 eps x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 eps x) #s(literal 2 binary64))) (*.f64 eps x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 eps x) #s(literal 2 binary64))) (*.f64 eps x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 eps x) #s(literal 2 binary64))) (*.f64 eps x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (*.f64 x (+.f64 (/.f64 eps x) #s(literal 2 binary64)))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 eps (*.f64 x (/.f64 eps x))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) #s(literal 3 binary64))) (fma.f64 (*.f64 eps (*.f64 x (/.f64 eps x))) (*.f64 eps (*.f64 x (/.f64 eps x))) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) (*.f64 (*.f64 #s(literal 2 binary64) eps) x)) (*.f64 (*.f64 eps (*.f64 x (/.f64 eps x))) (*.f64 (*.f64 #s(literal 2 binary64) eps) x)))))
(/.f64 (fma.f64 (*.f64 eps (*.f64 x (/.f64 eps x))) (*.f64 eps (*.f64 x (/.f64 eps x))) (neg.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) (*.f64 (*.f64 #s(literal 2 binary64) eps) x)))) (-.f64 (*.f64 eps (*.f64 x (/.f64 eps x))) (*.f64 (*.f64 #s(literal 2 binary64) eps) x)))
(/.f64 (*.f64 (*.f64 eps x) (+.f64 (pow.f64 (/.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64))) (+.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 eps x) #s(literal 2 binary64)))))
(/.f64 (*.f64 (*.f64 eps x) (+.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -4 binary64))) (+.f64 (/.f64 eps x) #s(literal -2 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64)) (*.f64 eps x)) (+.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 eps x) #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -4 binary64)) (*.f64 eps x)) (+.f64 (/.f64 eps x) #s(literal -2 binary64)))
(pow.f64 (*.f64 eps (*.f64 x (+.f64 (/.f64 eps x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x (+.f64 (/.f64 eps x) #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (*.f64 x (+.f64 (/.f64 eps x) #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (*.f64 x (+.f64 (/.f64 eps x) #s(literal 2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps (*.f64 x (+.f64 (/.f64 eps x) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 eps x) #s(literal 2 binary64))) (*.f64 eps x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (*.f64 x (+.f64 (/.f64 eps x) #s(literal 2 binary64)))))))
(log.f64 (*.f64 (exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x)) (exp.f64 (*.f64 eps (*.f64 x (/.f64 eps x))))))
(cbrt.f64 (pow.f64 (*.f64 eps (*.f64 x (+.f64 (/.f64 eps x) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 eps x) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)) (pow.f64 (+.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 eps (*.f64 x (+.f64 (/.f64 eps x) #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 eps (*.f64 x (+.f64 (/.f64 eps x) #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.f64 eps (*.f64 x (+.f64 (/.f64 eps x) #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (*.f64 x (+.f64 (/.f64 eps x) #s(literal 2 binary64))))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 eps (*.f64 x (+.f64 (/.f64 eps x) #s(literal 2 binary64)))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 eps (*.f64 x (+.f64 (/.f64 eps x) #s(literal 2 binary64)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 eps (*.f64 x (+.f64 (/.f64 eps x) #s(literal 2 binary64)))))) #s(literal 2 binary64)))
(fma.f64 eps (*.f64 x #s(literal 2 binary64)) (*.f64 eps (*.f64 x (/.f64 eps x))))
(fma.f64 eps (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 eps x)) (*.f64 (*.f64 #s(literal 2 binary64) eps) x))
(fma.f64 eps (*.f64 x (/.f64 eps x)) (*.f64 (*.f64 #s(literal 2 binary64) eps) x))
(fma.f64 x (*.f64 eps (/.f64 eps x)) (*.f64 (*.f64 #s(literal 2 binary64) eps) x))
(fma.f64 x (*.f64 eps #s(literal 2 binary64)) (*.f64 eps (*.f64 x (/.f64 eps x))))
(fma.f64 (/.f64 eps x) (*.f64 eps x) (*.f64 (*.f64 #s(literal 2 binary64) eps) x))
(fma.f64 #s(literal 2 binary64) (*.f64 eps x) (*.f64 eps (*.f64 x (/.f64 eps x))))
(fma.f64 (*.f64 eps x) (/.f64 eps x) (*.f64 (*.f64 #s(literal 2 binary64) eps) x))
(fma.f64 (*.f64 eps x) #s(literal 2 binary64) (*.f64 eps (*.f64 x (/.f64 eps x))))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) eps) x) (*.f64 eps (*.f64 x (/.f64 eps x))))
(fma.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 x (/.f64 eps x))) (*.f64 (*.f64 #s(literal 2 binary64) eps) x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 eps x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 eps x)) (*.f64 eps x)) (*.f64 (*.f64 #s(literal 2 binary64) eps) x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 eps x)) #s(literal 2 binary64)) (*.f64 eps (*.f64 x (/.f64 eps x))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 eps x)) (/.f64 eps x)) (*.f64 (*.f64 #s(literal 2 binary64) eps) x))
(fma.f64 (sqrt.f64 (/.f64 eps x)) (*.f64 (sqrt.f64 (/.f64 eps x)) (*.f64 eps x)) (*.f64 (*.f64 #s(literal 2 binary64) eps) x))
(fma.f64 (sqrt.f64 (*.f64 eps x)) (*.f64 (sqrt.f64 (*.f64 eps x)) #s(literal 2 binary64)) (*.f64 eps (*.f64 x (/.f64 eps x))))
(fma.f64 (sqrt.f64 (*.f64 eps x)) (*.f64 (sqrt.f64 (*.f64 eps x)) (/.f64 eps x)) (*.f64 (*.f64 #s(literal 2 binary64) eps) x))
(fma.f64 (*.f64 eps (*.f64 x (/.f64 eps x))) #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) #s(literal 1 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x)) (cbrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x))) (cbrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x)) (*.f64 eps (*.f64 x (/.f64 eps x))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 eps (*.f64 x (/.f64 eps x)))) (cbrt.f64 (*.f64 eps (*.f64 x (/.f64 eps x))))) (cbrt.f64 (*.f64 eps (*.f64 x (/.f64 eps x)))) (*.f64 (*.f64 #s(literal 2 binary64) eps) x))
(fma.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x)) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x)) (*.f64 eps (*.f64 x (/.f64 eps x))))
(fma.f64 (sqrt.f64 (*.f64 eps (*.f64 x (/.f64 eps x)))) (sqrt.f64 (*.f64 eps (*.f64 x (/.f64 eps x)))) (*.f64 (*.f64 #s(literal 2 binary64) eps) x))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 eps x)) (sqrt.f64 (*.f64 eps x))) (*.f64 (sqrt.f64 (/.f64 eps x)) (sqrt.f64 (*.f64 eps x))) (*.f64 (*.f64 #s(literal 2 binary64) eps) x))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 eps x)) (sqrt.f64 (/.f64 eps x))) (*.f64 (sqrt.f64 (*.f64 eps x)) (sqrt.f64 (/.f64 eps x))) (*.f64 (*.f64 #s(literal 2 binary64) eps) x))
(fma.f64 (*.f64 (/.f64 eps x) eps) x (*.f64 (*.f64 #s(literal 2 binary64) eps) x))
(fma.f64 (*.f64 #s(literal 2 binary64) eps) x (*.f64 eps (*.f64 x (/.f64 eps x))))
(fma.f64 (*.f64 (*.f64 eps x) eps) (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 #s(literal 2 binary64) eps) x))
(fma.f64 (*.f64 #s(literal 2 binary64) x) eps (*.f64 eps (*.f64 x (/.f64 eps x))))
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (*.f64 eps x)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 eps x)) (*.f64 eps (*.f64 x (/.f64 eps x))))
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 eps x))) (sqrt.f64 (*.f64 eps x)) (*.f64 eps (*.f64 x (/.f64 eps x))))
(fma.f64 (*.f64 (/.f64 eps x) x) eps (*.f64 (*.f64 #s(literal 2 binary64) eps) x))
(fma.f64 (*.f64 (/.f64 eps x) (pow.f64 (cbrt.f64 (*.f64 eps x)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 eps x)) (*.f64 (*.f64 #s(literal 2 binary64) eps) x))
(fma.f64 (*.f64 (/.f64 eps x) (sqrt.f64 (*.f64 eps x))) (sqrt.f64 (*.f64 eps x)) (*.f64 (*.f64 #s(literal 2 binary64) eps) x))
(fma.f64 (*.f64 (*.f64 eps x) (pow.f64 (cbrt.f64 (/.f64 eps x)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 eps x)) (*.f64 (*.f64 #s(literal 2 binary64) eps) x))
(fma.f64 (*.f64 (*.f64 eps x) (sqrt.f64 (/.f64 eps x))) (sqrt.f64 (/.f64 eps x)) (*.f64 (*.f64 #s(literal 2 binary64) eps) x))
Outputs
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (/.f64 eps x))
(+.f64 #s(literal 2 binary64) (/.f64 eps x))
(+.f64 #s(literal 2 binary64) (/.f64 eps x))
(/.f64 eps x)
(*.f64 eps (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 2 binary64) (/.f64 eps x))
(*.f64 eps (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 2 binary64) (/.f64 eps x))
(*.f64 eps (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 2 binary64) (/.f64 eps x))
(/.f64 eps x)
(*.f64 eps (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 2 binary64) (/.f64 eps x))
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(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 eps (*.f64 x (+.f64 (/.f64 eps x) #s(literal 2 binary64)))))) #s(literal 3 binary64)))
(fma.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))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 eps (*.f64 x (+.f64 (/.f64 eps x) #s(literal 2 binary64)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(fma.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))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 eps (*.f64 x (+.f64 (/.f64 eps x) #s(literal 2 binary64)))))) #s(literal 2 binary64)))
(fma.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))
(fma.f64 eps (*.f64 x #s(literal 2 binary64)) (*.f64 eps (*.f64 x (/.f64 eps x))))
(fma.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))
(fma.f64 eps (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 eps x)) (*.f64 (*.f64 #s(literal 2 binary64) eps) x))
(fma.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))
(fma.f64 eps (*.f64 x (/.f64 eps x)) (*.f64 (*.f64 #s(literal 2 binary64) eps) x))
(fma.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))
(fma.f64 x (*.f64 eps (/.f64 eps x)) (*.f64 (*.f64 #s(literal 2 binary64) eps) x))
(fma.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))
(fma.f64 x (*.f64 eps #s(literal 2 binary64)) (*.f64 eps (*.f64 x (/.f64 eps x))))
(fma.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))
(fma.f64 (/.f64 eps x) (*.f64 eps x) (*.f64 (*.f64 #s(literal 2 binary64) eps) x))
(fma.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))
(fma.f64 #s(literal 2 binary64) (*.f64 eps x) (*.f64 eps (*.f64 x (/.f64 eps x))))
(fma.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))
(fma.f64 (*.f64 eps x) (/.f64 eps x) (*.f64 (*.f64 #s(literal 2 binary64) eps) x))
(fma.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))
(fma.f64 (*.f64 eps x) #s(literal 2 binary64) (*.f64 eps (*.f64 x (/.f64 eps x))))
(fma.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))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) eps) x) (*.f64 eps (*.f64 x (/.f64 eps x))))
(fma.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))
(fma.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 x (/.f64 eps x))) (*.f64 (*.f64 #s(literal 2 binary64) eps) x))
(fma.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))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 eps x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 eps x)) (*.f64 eps x)) (*.f64 (*.f64 #s(literal 2 binary64) eps) x))
(fma.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))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 eps x)) #s(literal 2 binary64)) (*.f64 eps (*.f64 x (/.f64 eps x))))
(fma.f64 #s(literal 2 binary64) (*.f64 eps x) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 eps x)) (/.f64 eps x)) (*.f64 (*.f64 #s(literal 2 binary64) eps) x))
(fma.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))
(fma.f64 (sqrt.f64 (/.f64 eps x)) (*.f64 (sqrt.f64 (/.f64 eps x)) (*.f64 eps x)) (*.f64 (*.f64 #s(literal 2 binary64) eps) x))
(fma.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))
(fma.f64 (sqrt.f64 (*.f64 eps x)) (*.f64 (sqrt.f64 (*.f64 eps x)) #s(literal 2 binary64)) (*.f64 eps (*.f64 x (/.f64 eps x))))
(fma.f64 #s(literal 2 binary64) (*.f64 eps x) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (sqrt.f64 (*.f64 eps x)) (*.f64 (sqrt.f64 (*.f64 eps x)) (/.f64 eps x)) (*.f64 (*.f64 #s(literal 2 binary64) eps) x))
(fma.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))
(fma.f64 (*.f64 eps (*.f64 x (/.f64 eps x))) #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) #s(literal 1 binary64)))
(fma.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))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x)) (cbrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x))) (cbrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x)) (*.f64 eps (*.f64 x (/.f64 eps x))))
(fma.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))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 eps (*.f64 x (/.f64 eps x)))) (cbrt.f64 (*.f64 eps (*.f64 x (/.f64 eps x))))) (cbrt.f64 (*.f64 eps (*.f64 x (/.f64 eps x)))) (*.f64 (*.f64 #s(literal 2 binary64) eps) x))
(fma.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))
(fma.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x)) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x)) (*.f64 eps (*.f64 x (/.f64 eps x))))
(fma.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))
(fma.f64 (sqrt.f64 (*.f64 eps (*.f64 x (/.f64 eps x)))) (sqrt.f64 (*.f64 eps (*.f64 x (/.f64 eps x)))) (*.f64 (*.f64 #s(literal 2 binary64) eps) x))
(fma.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))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 eps x)) (sqrt.f64 (*.f64 eps x))) (*.f64 (sqrt.f64 (/.f64 eps x)) (sqrt.f64 (*.f64 eps x))) (*.f64 (*.f64 #s(literal 2 binary64) eps) x))
(fma.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))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 eps x)) (sqrt.f64 (/.f64 eps x))) (*.f64 (sqrt.f64 (*.f64 eps x)) (sqrt.f64 (/.f64 eps x))) (*.f64 (*.f64 #s(literal 2 binary64) eps) x))
(fma.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))
(fma.f64 (*.f64 (/.f64 eps x) eps) x (*.f64 (*.f64 #s(literal 2 binary64) eps) x))
(fma.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))
(fma.f64 (*.f64 #s(literal 2 binary64) eps) x (*.f64 eps (*.f64 x (/.f64 eps x))))
(fma.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))
(fma.f64 (*.f64 (*.f64 eps x) eps) (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 #s(literal 2 binary64) eps) x))
(fma.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))
(fma.f64 (*.f64 #s(literal 2 binary64) x) eps (*.f64 eps (*.f64 x (/.f64 eps x))))
(fma.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))
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (*.f64 eps x)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 eps x)) (*.f64 eps (*.f64 x (/.f64 eps x))))
(fma.f64 #s(literal 2 binary64) (*.f64 eps x) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 eps x))) (sqrt.f64 (*.f64 eps x)) (*.f64 eps (*.f64 x (/.f64 eps x))))
(fma.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))
(fma.f64 (*.f64 (/.f64 eps x) x) eps (*.f64 (*.f64 #s(literal 2 binary64) eps) x))
(fma.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))
(fma.f64 (*.f64 (/.f64 eps x) (pow.f64 (cbrt.f64 (*.f64 eps x)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 eps x)) (*.f64 (*.f64 #s(literal 2 binary64) eps) x))
(fma.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))
(fma.f64 (*.f64 (/.f64 eps x) (sqrt.f64 (*.f64 eps x))) (sqrt.f64 (*.f64 eps x)) (*.f64 (*.f64 #s(literal 2 binary64) eps) x))
(fma.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))
(fma.f64 (*.f64 (*.f64 eps x) (pow.f64 (cbrt.f64 (/.f64 eps x)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 eps x)) (*.f64 (*.f64 #s(literal 2 binary64) eps) x))
(fma.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))
(fma.f64 (*.f64 (*.f64 eps x) (sqrt.f64 (/.f64 eps x))) (sqrt.f64 (/.f64 eps x)) (*.f64 (*.f64 #s(literal 2 binary64) eps) x))
(fma.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))

eval24.0ms (0.4%)

Compiler

Compiled 3530 to 666 computations (81.1% saved)

prune32.0ms (0.5%)

Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New2182220
Fresh000
Picked011
Done246
Total2207227
Accuracy
100.0%
Counts
227 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) (*.f64 eps (*.f64 x (/.f64 eps x))))
✓88.6%
(*.f64 (*.f64 x eps) (+.f64 (/.f64 eps x) #s(literal 2 binary64)))
88.6%
(*.f64 (*.f64 x eps) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) eps) #s(literal 2 binary64)))
✓99.7%
(*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
✓61.9%
(*.f64 x (*.f64 eps #s(literal 2 binary64)))
✓100.0%
(*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))
✓72.4%
(*.f64 eps eps)
Compiler

Compiled 176 to 88 computations (50% saved)

regimes20.0ms (0.3%)

Counts
12 → 1
Calls
Call 1
Inputs
(*.f64 eps eps)
(*.f64 #s(literal 2 binary64) (*.f64 x eps))
(*.f64 x (*.f64 eps #s(literal 2 binary64)))
(*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
(*.f64 (*.f64 x eps) (+.f64 (/.f64 eps x) #s(literal 2 binary64)))
(*.f64 eps (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps)))))
(*.f64 (*.f64 x eps) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) eps) #s(literal 2 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) (*.f64 eps (*.f64 x (/.f64 eps x))))
(+.f64 (*.f64 (/.f64 eps x) (*.f64 eps x)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 eps eps (*.f64 x (*.f64 #s(literal 2 binary64) eps)))
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
Outputs
(fma.f64 eps eps (*.f64 x (*.f64 #s(literal 2 binary64) eps)))
Calls

3 calls:

8.0ms
x
4.0ms
eps
3.0ms
(-.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)

regimes8.0ms (0.1%)

Counts
10 → 1
Calls
Call 1
Inputs
(*.f64 eps eps)
(*.f64 #s(literal 2 binary64) (*.f64 x eps))
(*.f64 x (*.f64 eps #s(literal 2 binary64)))
(*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
(*.f64 (*.f64 x eps) (+.f64 (/.f64 eps x) #s(literal 2 binary64)))
(*.f64 eps (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps)))))
(*.f64 (*.f64 x eps) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) eps) #s(literal 2 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) (*.f64 eps (*.f64 x (/.f64 eps x))))
(+.f64 (*.f64 (/.f64 eps x) (*.f64 eps x)) (*.f64 eps (*.f64 x #s(literal 2 binary64))))
Outputs
(*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))
Calls

2 calls:

4.0ms
eps
3.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0.1%)

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

2 calls:

2.0ms
eps
2.0ms
x
Results
AccuracySegmentsBranch
93.0%3x
88.5%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 x eps))
Outputs
(*.f64 #s(literal 2 binary64) (*.f64 x eps))
(*.f64 eps eps)
(*.f64 #s(literal 2 binary64) (*.f64 x eps))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
93.0%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

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
72.4%1eps
72.4%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch36.0ms (0.6%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
15.0ms
1.5572188345145291e-74
3.1993909657427134e-73
17.0ms
-8.078354854386087e-115
-2.3889579025713868e-117
Results
21.0ms163×1valid
5.0ms77×0valid
Compiler

Compiled 224 to 162 computations (27.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-pow: 9.0ms (54.8% of total)
adjust: 2.0ms (12.2% of total)
ival-add: 2.0ms (12.2% of total)
ival-sub: 2.0ms (12.2% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch38.0ms (0.6%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
15.0ms
1.5572188345145291e-74
3.1993909657427134e-73
20.0ms
-8.078354854386087e-115
-2.3889579025713868e-117
Results
18.0ms159×1valid
9.0ms81×0valid
Compiler

Compiled 224 to 162 computations (27.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-pow: 12.0ms (62% of total)
adjust: 2.0ms (10.3% of total)
ival-add: 2.0ms (10.3% of total)
ival-sub: 2.0ms (10.3% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

simplify4.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
035200
150200
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 eps eps (*.f64 x (*.f64 #s(literal 2 binary64) eps)))
(*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -3815193499110241/88725430211866075506509253892578678509965986412026130405455346579667881849780019937279180995332466499116518750764914298527173050368 binary64)) (*.f64 x (*.f64 eps #s(literal 2 binary64))) (if (<=.f64 x #s(literal 496527519231531/31828687130226345097944463881396533766429193651030253916189694521162207808802136034115584 binary64)) (*.f64 eps eps) (*.f64 x (*.f64 eps #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -7319847992478951/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 x eps)) (if (<=.f64 x #s(literal 5983793180482553/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672 binary64)) (*.f64 eps eps) (*.f64 #s(literal 2 binary64) (*.f64 x eps))))
(*.f64 eps eps)
Outputs
(fma.f64 eps eps (*.f64 x (*.f64 #s(literal 2 binary64) eps)))
(fma.f64 eps eps (*.f64 x (*.f64 eps #s(literal 2 binary64))))
(*.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -3815193499110241/88725430211866075506509253892578678509965986412026130405455346579667881849780019937279180995332466499116518750764914298527173050368 binary64)) (*.f64 x (*.f64 eps #s(literal 2 binary64))) (if (<=.f64 x #s(literal 496527519231531/31828687130226345097944463881396533766429193651030253916189694521162207808802136034115584 binary64)) (*.f64 eps eps) (*.f64 x (*.f64 eps #s(literal 2 binary64)))))
(if (or (<=.f64 x #s(literal -3815193499110241/88725430211866075506509253892578678509965986412026130405455346579667881849780019937279180995332466499116518750764914298527173050368 binary64)) (not (<=.f64 x #s(literal 496527519231531/31828687130226345097944463881396533766429193651030253916189694521162207808802136034115584 binary64)))) (*.f64 x (*.f64 eps #s(literal 2 binary64))) (*.f64 eps eps))
(if (<=.f64 x #s(literal -7319847992478951/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 x eps)) (if (<=.f64 x #s(literal 5983793180482553/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672 binary64)) (*.f64 eps eps) (*.f64 #s(literal 2 binary64) (*.f64 x eps))))
(if (or (<=.f64 x #s(literal -7319847992478951/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296 binary64)) (not (<=.f64 x #s(literal 5983793180482553/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (*.f64 eps eps))
(*.f64 eps eps)

soundness524.0ms (8.6%)

Rules
893×prod-diff
606×log1p-expm1-u
606×expm1-log1p-u
576×sub-neg
567×unpow-prod-down
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03805598
18245442
222905363
01157
112049
2166849
028278
157246
2174238
3663196
42246188
55176188
66794188
77415188
87644188
97758188
107791188
Stop Event
1×fuel
1×node limit
1×node limit
1×node limit
Compiler

Compiled 377 to 122 computations (67.6% saved)

preprocess32.0ms (0.5%)

Compiler

Compiled 130 to 66 computations (49.2% saved)

end0.0ms (0%)

Profiling

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