Jmat.Real.lambertw, estimator

Time bar (total: 2.5s)

analyze2.0ms (0.1%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%50%0%0%50%0%2
50%25%25%0%0%50%0%3
66.7%25%12.5%0%0%62.5%0%4
80%25%6.2%0%0%68.7%0%5
88.9%25%3.1%0%0%71.8%0%6
94.1%25%1.6%0%0%73.4%0%7
97%25%0.8%0%0%74.2%0%8
98.5%25%0.4%0%0%74.6%0%9
99.2%25%0.2%0%0%74.8%0%10
99.6%25%0.1%0%0%74.9%0%11
99.8%25%0%0%0%74.9%0%12
Compiler

Compiled 8 to 6 computations (25% saved)

sample606.0ms (24.4%)

Results
453.0ms8256×0valid
0.0ms0invalid
Precisions
Click to see histograms. Total time spent on operations: 251.0ms
ival-log: 200.0ms (79.6% of total)
ival-sub: 40.0ms (15.9% of total)
ival-true: 6.0ms (2.4% of total)
ival-assert: 4.0ms (1.6% of total)
Bogosity

preprocess300.0ms (12.1%)

Algorithm
egg-herbie
Rules
80×fma-define
66×fmm-def
29×sub-neg
20×associate--r+
19×neg-mul-1
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
014120
124120
246116
387116
4153116
5242116
6310116
7365116
8418116
9453116
10479116
11481116
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(-.f64 (log.f64 (neg.f64 x)) (log.f64 (log.f64 (neg.f64 x))))
(neg.f64 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (log.f64 (neg.f64 x)))))
Outputs
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(-.f64 (log.f64 (neg.f64 x)) (log.f64 (log.f64 (neg.f64 x))))
(neg.f64 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (log.f64 (neg.f64 x)))))
(-.f64 (log.f64 (log.f64 (neg.f64 x))) (log.f64 (neg.f64 x)))

explain81.0ms (3.3%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(log.f64 (log.f64 x))
00-0-(log.f64 x)
00-0-(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Results
30.0ms512×0valid
Compiler

Compiled 42 to 20 computations (52.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-log: 12.0ms (77.2% of total)
ival-sub: 3.0ms (19.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
Compiler

Compiled 7 to 4 computations (42.9% saved)

simplify14.0ms (0.6%)

Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log.f64 (log.f64 x))
cost-diff0
(log.f64 x)
cost-diff0
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
Rules
39×fma-define
32×fmm-def
12×sub-neg
10×distribute-rgt-in
associate--r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0949
11149
21649
32449
43349
55049
68849
712849
817849
921349
1023949
1124149
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(log.f64 x)
x
(log.f64 (log.f64 x))
Outputs
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(log.f64 x)
x
(log.f64 (log.f64 x))

localize33.0ms (1.3%)

Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(log.f64 x)
accuracy99.9%
(log.f64 (log.f64 x))
accuracy99.6%
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
Results
15.0ms256×0valid
Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-log: 6.0ms (80.1% of total)
ival-sub: 1.0ms (13.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series143.0ms (5.8%)

Counts
3 → 24
Calls
Call 1
Inputs
#<alt (-.f64 (log.f64 x) (log.f64 (log.f64 x)))>
#<alt (log.f64 x)>
#<alt (log.f64 (log.f64 x))>
Outputs
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (log.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (log.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (log.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (log.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))>
#<alt (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (log.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))>
#<alt (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (log.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))>
#<alt (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (log.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))>
#<alt (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (log.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))>
#<alt (log.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (log.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (log.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (log.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (log.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))>
#<alt (log.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))>
#<alt (log.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))>
#<alt (log.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))>
Calls

9 calls:

TimeVariablePointExpression
62.0ms
x
@0
(- (log x) (log (log x)))
54.0ms
x
@-inf
(- (log x) (log (log x)))
26.0ms
x
@inf
(- (log x) (log (log x)))
0.0ms
x
@-inf
(log (log x))
0.0ms
x
@inf
(log (log x))

rewrite259.0ms (10.4%)

Algorithm
batch-egg-rewrite
Rules
463×log1p-expm1-u
463×expm1-log1p-u
436×add-exp-log
393×pow1
375×unpow-prod-down
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0941
19141
2122941
Stop Event
node limit
Counts
3 → 194
Calls
Call 1
Inputs
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(log.f64 x)
(log.f64 (log.f64 x))
Outputs
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(+.f64 (log.f64 x) (*.f64 (neg.f64 (log.f64 (log.f64 x))) #s(literal 1 binary64)))
(+.f64 (log.f64 (/.f64 x (log.f64 x))) (fma.f64 (neg.f64 (log.f64 (log.f64 x))) #s(literal 1 binary64) (log.f64 (log.f64 x))))
(+.f64 (log.f64 (/.f64 x (log.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (log.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) #s(literal 2 binary64)) (log.f64 (log.f64 x))))
(+.f64 (log.f64 (/.f64 x (log.f64 x))) (+.f64 (neg.f64 (log.f64 (log.f64 x))) (log.f64 (log.f64 x))))
(+.f64 (log.f64 (/.f64 x (log.f64 x))) (fma.f64 #s(literal -1 binary64) (log.f64 (log.f64 x)) (log.f64 (log.f64 x))))
(+.f64 (log.f64 (/.f64 x (log.f64 x))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (log.f64 x))) (log.f64 (log.f64 x))))
(+.f64 (neg.f64 (log.f64 (log.f64 x))) (log.f64 x))
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 x (log.f64 x))))
(+.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 x))) (log.f64 (/.f64 (cbrt.f64 x) (log.f64 x))))
(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 (sqrt.f64 x) (log.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (/.f64 x (log.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x)))) (log.f64 (sqrt.f64 (/.f64 x (log.f64 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (log.f64 x)) #s(literal -2 binary64))) (log.f64 (/.f64 x (cbrt.f64 (log.f64 x)))))
(+.f64 (log.f64 (pow.f64 (log.f64 x) #s(literal -1/2 binary64))) (log.f64 (/.f64 x (sqrt.f64 (log.f64 x)))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (log.f64 (/.f64 (cbrt.f64 x) (log.f64 x))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (log.f64 x)) #s(literal 2 binary64)))) (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (log.f64 x)))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (log.f64 x)))) (log.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (log.f64 x)))))
(+.f64 (log.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64))) (log.f64 (/.f64 (sqrt.f64 x) (log.f64 x))))
(+.f64 (log.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (log.f64 x)) #s(literal 2 binary64)))) (log.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (log.f64 x)))))
(+.f64 (log.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (log.f64 x)))) (log.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (log.f64 x)))))
(*.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal 1 binary64))
(*.f64 (log.f64 (/.f64 x (log.f64 x))) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (log.f64 x))))
(*.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))))
(*.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 x (log.f64 x)))))
(*.f64 (+.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 (log.f64 x)))) (-.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 (log.f64 x)))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (log.f64 (/.f64 x (log.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 (/.f64 x (log.f64 x))) (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))))
(*.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 x (log.f64 x))) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64))) (fma.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))) (log.f64 (*.f64 x (log.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))) (neg.f64 (log.f64 (*.f64 x (log.f64 x)))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 (log.f64 x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (neg.f64 (log.f64 (log.f64 x))) #s(literal 2 binary64)) (*.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (neg.f64 (log.f64 (log.f64 x))) #s(literal 2 binary64))) (log.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (log.f64 x)))))
(pow.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (log.f64 (/.f64 x (log.f64 x)))))
(pow.f64 (/.f64 (fma.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (log.f64 (*.f64 x (log.f64 x))) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (/.f64 x (log.f64 x))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (log.f64 (/.f64 x (log.f64 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (/.f64 x (log.f64 x)))))) (sqrt.f64 (log.f64 (log.f64 (/.f64 x (log.f64 x))))))
(neg.f64 (log.f64 (/.f64 (log.f64 x) x)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal 2 binary64)))
(log.f64 (/.f64 x (log.f64 x)))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 x (log.f64 x)))))
(log1p.f64 (-.f64 (/.f64 x (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (/.f64 x (log.f64 x)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))) #s(literal 2 binary64)))
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simplify205.0ms (8.3%)

Algorithm
egg-herbie
Rules
472×distribute-lft-in
430×distribute-rgt-in
329×associate-/l*
275×fmm-def
269×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04239131
17417290
220916273
Stop Event
node limit
Counts
218 → 243
Calls
Call 1
Inputs
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(fma.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (log.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) #s(literal 2 binary64)) (log.f64 (log.f64 x))))
(fma.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (+.f64 (neg.f64 (log.f64 (log.f64 x))) (log.f64 (log.f64 x))))
(fma.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 x (log.f64 x)))) (fma.f64 (neg.f64 (log.f64 (log.f64 x))) #s(literal 1 binary64) (log.f64 (log.f64 x))))
(fma.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 x (log.f64 x)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (log.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) #s(literal 2 binary64)) (log.f64 (log.f64 x))))
(fma.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 x (log.f64 x)))) (+.f64 (neg.f64 (log.f64 (log.f64 x))) (log.f64 (log.f64 x))))
(fma.f64 (neg.f64 (sqrt.f64 (log.f64 (log.f64 x)))) (sqrt.f64 (log.f64 (log.f64 x))) (log.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (log.f64 x)))) #s(literal 2 binary64)) (cbrt.f64 (neg.f64 (log.f64 (log.f64 x)))) (log.f64 x))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 (log.f64 x)))) (sqrt.f64 (neg.f64 (log.f64 (log.f64 x)))) (log.f64 x))
(fma.f64 #s(literal -1 binary64) (log.f64 (log.f64 x)) (log.f64 x))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 (log.f64 x)))) (-.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 (log.f64 x)))) (fma.f64 (neg.f64 (log.f64 (log.f64 x))) #s(literal 1 binary64) (log.f64 (log.f64 x))))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 (log.f64 x)))) (-.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 (log.f64 x)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (log.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) #s(literal 2 binary64)) (log.f64 (log.f64 x))))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 (log.f64 x)))) (-.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 (log.f64 x)))) (+.f64 (neg.f64 (log.f64 (log.f64 x))) (log.f64 (log.f64 x))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (log.f64 x))) (log.f64 x))
(+.f64 (log.f64 x) #s(literal 0 binary64))
(+.f64 #s(literal 1 binary64) (-.f64 (log.f64 x) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (log.f64 x))
(+.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 x))) (log.f64 (cbrt.f64 x)))
(+.f64 (log.f64 (cbrt.f64 x)) (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 x))))
(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (sqrt.f64 x)))
(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 x)) #s(literal 1 binary64))
(*.f64 (log.f64 x) #s(literal 1 binary64))
(*.f64 (log.f64 x) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (log.f64 x))
(*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (log.f64 x)))
(*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)))
(*.f64 #s(literal 3 binary64) (log.f64 (cbrt.f64 x)))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 x)))
(*.f64 #s(literal 1/3 binary64) (log.f64 (pow.f64 x #s(literal 3 binary64))))
(*.f64 (pow.f64 (E.f64) (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (log.f64 x))))) (pow.f64 (E.f64) (log.f64 (cbrt.f64 (log.f64 x)))))
(*.f64 (pow.f64 (E.f64) (log.f64 (sqrt.f64 (log.f64 x)))) (pow.f64 (E.f64) (log.f64 (sqrt.f64 (log.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (log.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (log.f64 x))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 x) (cbrt.f64 (log.f64 x))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (log.f64 x))))
(*.f64 (pow.f64 (pow.f64 (log.f64 x) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (log.f64 x))))
(/.f64 (pow.f64 (E.f64) (+.f64 #s(literal 1 binary64) (log.f64 (log.f64 x)))) (E.f64))
(/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (log.f64 (log.f64 x)))) (E.f64))
(pow.f64 (log.f64 x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (log.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (log.f64 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (log.f64 (log.f64 x))) #s(literal 1 binary64)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 x)))) (sqrt.f64 (log.f64 (log.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 x)))) (*.f64 (sqrt.f64 (log.f64 (log.f64 x))) #s(literal 1 binary64)))
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (log.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) #s(literal 2 binary64)))) (cbrt.f64 (cbrt.f64 (log.f64 (log.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 (log.f64 (log.f64 x))))) (cbrt.f64 (sqrt.f64 (log.f64 (log.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (log.f64 x)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (log.f64 (log.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (log.f64 (log.f64 x))))) (sqrt.f64 (cbrt.f64 (log.f64 (log.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 x)))) (cbrt.f64 (log.f64 (log.f64 x)))) (cbrt.f64 (sqrt.f64 (log.f64 (log.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 (log.f64 (log.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 x)))) (sqrt.f64 (sqrt.f64 (log.f64 (log.f64 x))))) (sqrt.f64 (sqrt.f64 (log.f64 (log.f64 x)))))
(sqrt.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 x)))
(log1p.f64 (-.f64 x #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (E.f64)) (log.f64 (log.f64 x))))
(+.f64 (log.f64 (log.f64 x)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (log.f64 (log.f64 x)))
(+.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (log.f64 x)))) (log.f64 (cbrt.f64 (log.f64 x))))
(+.f64 (log.f64 (cbrt.f64 (log.f64 x))) (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (log.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (log.f64 x))) (log.f64 (sqrt.f64 (log.f64 x))))
(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 (log.f64 x))) #s(literal 1 binary64))
(*.f64 (log.f64 (log.f64 x)) #s(literal 1 binary64))
(*.f64 (log.f64 (log.f64 x)) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (log.f64 (log.f64 x)))
(*.f64 (cbrt.f64 (log.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 (log.f64 x))))
(*.f64 (sqrt.f64 (log.f64 (log.f64 x))) (sqrt.f64 (log.f64 (log.f64 x))))
(*.f64 #s(literal 3 binary64) (log.f64 (cbrt.f64 (log.f64 x))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (log.f64 x))))
(*.f64 #s(literal 1/3 binary64) (*.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (log.f64 (log.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (log.f64 x)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (log.f64 x)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (log.f64 x)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (log.f64 (log.f64 x))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 (log.f64 x)) (cbrt.f64 (log.f64 (log.f64 x)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (log.f64 (log.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (log.f64 (log.f64 x)))))
(pow.f64 (log.f64 (log.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (log.f64 x))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (log.f64 (log.f64 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (log.f64 x)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (log.f64 (log.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (log.f64 x))))) (sqrt.f64 (log.f64 (log.f64 (log.f64 x)))))
(sqrt.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (log.f64 x))))
(log1p.f64 (-.f64 (log.f64 x) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (log.f64 x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (log.f64 x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (log.f64 x))) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (log.f64 x)))) #s(literal 2 binary64)))
Outputs
(-.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (log.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))
(-.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 (neg.f64 (neg.f64 (log.f64 x)))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(-.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (log.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))
(-.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 (neg.f64 (neg.f64 (log.f64 x)))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(-.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (log.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))
(-.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 (neg.f64 (neg.f64 (log.f64 x)))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(-.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (log.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))
(-.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 (neg.f64 (neg.f64 (log.f64 x)))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (log.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))
(+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))))))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
(-.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))))
(-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (log.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))
(+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))))))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
(-.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))))
(-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (log.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))
(+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))))))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
(-.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))))
(-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (log.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))
(+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))))))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
(-.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))
(neg.f64 (neg.f64 (log.f64 x)))
(log.f64 x)
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))
(neg.f64 (neg.f64 (log.f64 x)))
(log.f64 x)
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))
(neg.f64 (neg.f64 (log.f64 x)))
(log.f64 x)
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))
(neg.f64 (neg.f64 (log.f64 x)))
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(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 x)))) (fabs.f64 (cbrt.f64 (log.f64 (log.f64 x))))) (sqrt.f64 (cbrt.f64 (log.f64 (log.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 x)))) (cbrt.f64 (log.f64 (log.f64 x)))) (sqrt.f64 (cbrt.f64 (log.f64 (log.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 x)))) (sqrt.f64 (sqrt.f64 (log.f64 (log.f64 x))))) (sqrt.f64 (sqrt.f64 (log.f64 (log.f64 x)))))
(sqrt.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(neg.f64 (neg.f64 (log.f64 x)))
(log.f64 x)
(cbrt.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)))
(neg.f64 (neg.f64 (log.f64 x)))
(log.f64 x)
(expm1.f64 (log1p.f64 (log.f64 x)))
(neg.f64 (neg.f64 (log.f64 x)))
(log.f64 x)
(log1p.f64 (-.f64 x #s(literal 1 binary64)))
(log1p.f64 (+.f64 x #s(literal -1 binary64)))
(log1p.f64 (+.f64 #s(literal -1 binary64) x))
(log.f64 (+.f64 x #s(literal 0 binary64)))
(exp.f64 (log.f64 (log.f64 x)))
(neg.f64 (neg.f64 (log.f64 x)))
(log.f64 x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 x))) #s(literal 3 binary64)))
(neg.f64 (neg.f64 (log.f64 x)))
(log.f64 x)
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(neg.f64 (neg.f64 (log.f64 x)))
(log.f64 x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 x))) #s(literal 2 binary64)))
(neg.f64 (neg.f64 (log.f64 x)))
(log.f64 x)
(exp.f64 (*.f64 (log.f64 (E.f64)) (log.f64 (log.f64 x))))
(neg.f64 (neg.f64 (log.f64 x)))
(log.f64 x)
(+.f64 (log.f64 (log.f64 x)) #s(literal 0 binary64))
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(+.f64 #s(literal 0 binary64) (log.f64 (log.f64 x)))
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(+.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (log.f64 x)))) (log.f64 (cbrt.f64 (log.f64 x))))
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(+.f64 (log.f64 (cbrt.f64 (log.f64 x))) (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (log.f64 x)))))
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(+.f64 (log.f64 (sqrt.f64 (log.f64 x))) (log.f64 (sqrt.f64 (log.f64 x))))
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 (log.f64 x))) #s(literal 1 binary64))
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(*.f64 (log.f64 (log.f64 x)) #s(literal 1 binary64))
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(*.f64 (log.f64 (log.f64 x)) (log.f64 (E.f64)))
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(*.f64 #s(literal 1 binary64) (log.f64 (log.f64 x)))
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(*.f64 (cbrt.f64 (log.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) #s(literal 2 binary64)))
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 (log.f64 x))))
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(*.f64 (sqrt.f64 (log.f64 (log.f64 x))) (sqrt.f64 (log.f64 (log.f64 x))))
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(*.f64 #s(literal 3 binary64) (log.f64 (cbrt.f64 (log.f64 x))))
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (log.f64 x))))
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(*.f64 #s(literal 1/3 binary64) (*.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)))
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (log.f64 (log.f64 x)))
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (log.f64 x)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (log.f64 x)))) #s(literal 3 binary64)))
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (log.f64 x)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (log.f64 (log.f64 x))))
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 (log.f64 x)) (cbrt.f64 (log.f64 (log.f64 x)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (log.f64 (log.f64 x)))))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (log.f64 x)))) (cbrt.f64 (pow.f64 (*.f64 (log.f64 (log.f64 x)) (cbrt.f64 (log.f64 (log.f64 x)))) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (log.f64 x)))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) #s(literal 4 binary64)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (log.f64 x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) #s(literal 8 binary64))))
(*.f64 (pow.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (log.f64 (log.f64 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (log.f64 x)))) (cbrt.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 5/2 binary64))))
(pow.f64 (log.f64 (log.f64 x)) #s(literal 1 binary64))
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) #s(literal 3 binary64))
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(pow.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(pow.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(pow.f64 (sqrt.f64 (log.f64 (log.f64 x))) #s(literal 2 binary64))
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(pow.f64 (E.f64) (log.f64 (log.f64 (log.f64 x))))
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (log.f64 x)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (log.f64 (log.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (log.f64 x))))) (sqrt.f64 (log.f64 (log.f64 (log.f64 x)))))
(sqrt.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(cbrt.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)))
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(expm1.f64 (log1p.f64 (log.f64 (log.f64 x))))
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(log1p.f64 (-.f64 (log.f64 x) #s(literal 1 binary64)))
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(exp.f64 (log.f64 (log.f64 (log.f64 x))))
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (log.f64 x)))) #s(literal 3 binary64)))
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (log.f64 x))) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (log.f64 x)))) #s(literal 2 binary64)))
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))

eval35.0ms (1.4%)

Compiler

Compiled 4369 to 738 computations (83.1% saved)

prune35.0ms (1.4%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New3101311
Fresh000
Picked101
Done000
Total3111312
Accuracy
100.0%
Counts
312 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(log.f64 (/.f64 x (log.f64 x)))
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify6.0ms (0.2%)

Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log.f64 x)
cost-diff0
(/.f64 x (log.f64 x))
cost-diff0
(log.f64 (/.f64 x (log.f64 x)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0950
Stop Event
saturated
Calls
Call 1
Inputs
(log.f64 (/.f64 x (log.f64 x)))
(/.f64 x (log.f64 x))
x
(log.f64 x)
Outputs
(log.f64 (/.f64 x (log.f64 x)))
(/.f64 x (log.f64 x))
x
(log.f64 x)

localize24.0ms (0.9%)

Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(log.f64 (/.f64 x (log.f64 x)))
accuracy100.0%
(log.f64 x)
accuracy99.6%
(/.f64 x (log.f64 x))
Results
15.0ms256×0valid
Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-log: 6.0ms (74.7% of total)
ival-div: 2.0ms (24.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series70.0ms (2.8%)

Counts
2 → 20
Calls
Call 1
Inputs
#<alt (log.f64 (/.f64 x (log.f64 x)))>
#<alt (/.f64 x (log.f64 x))>
Outputs
#<alt (+.f64 (log.f64 x) (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 x))))>
#<alt (+.f64 (log.f64 x) (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 x))))>
#<alt (+.f64 (log.f64 x) (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 x))))>
#<alt (+.f64 (log.f64 x) (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 x))))>
#<alt (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))>
#<alt (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))>
#<alt (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))>
#<alt (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x (log.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x (log.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x (log.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x (log.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (/.f64 x (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))>
#<alt (/.f64 x (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))>
#<alt (/.f64 x (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))>
#<alt (/.f64 x (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))>
Calls

6 calls:

TimeVariablePointExpression
27.0ms
x
@inf
(log (/ x (log x)))
25.0ms
x
@-inf
(log (/ x (log x)))
17.0ms
x
@0
(log (/ x (log x)))
0.0ms
x
@-inf
(/ x (log x))
0.0ms
x
@0
(/ x (log x))

rewrite188.0ms (7.6%)

Algorithm
batch-egg-rewrite
Rules
391×log1p-expm1-u
391×expm1-log1p-u
377×add-exp-log
372×unpow-prod-down
363×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0938
18438
2106738
Stop Event
node limit
Counts
2 → 159
Calls
Call 1
Inputs
(log.f64 (/.f64 x (log.f64 x)))
(/.f64 x (log.f64 x))
Outputs
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(+.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal 0 binary64))
(+.f64 (log.f64 (/.f64 x (log.f64 x))) (fma.f64 (neg.f64 (log.f64 (log.f64 x))) #s(literal 1 binary64) (log.f64 (log.f64 x))))
(+.f64 (log.f64 (/.f64 x (log.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (log.f64 x)))) (sqrt.f64 (log.f64 (log.f64 x))) (log.f64 (log.f64 x))))
(+.f64 (neg.f64 (log.f64 (log.f64 x))) (log.f64 x))
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 x (log.f64 x))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 x) x) #s(literal -2 binary64)))) (log.f64 (cbrt.f64 (/.f64 x (log.f64 x)))))
(+.f64 (log.f64 (cbrt.f64 (/.f64 x (log.f64 x)))) (log.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 x) x) #s(literal -2 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x)))) (log.f64 (sqrt.f64 (/.f64 x (log.f64 x)))))
(+.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 x))) (log.f64 (/.f64 (cbrt.f64 x) (log.f64 x))))
(+.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 x))) (log.f64 (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) (log.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 (sqrt.f64 x) (log.f64 x))))
(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (log.f64 x)))))
(+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x)))))
(+.f64 (fma.f64 (log.f64 x) #s(literal 1 binary64) (neg.f64 (*.f64 (cbrt.f64 (log.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (log.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (log.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) #s(literal 2 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) (log.f64 x) (neg.f64 (*.f64 (cbrt.f64 (log.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (log.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (log.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) #s(literal 2 binary64)))))
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(log.f64 (exp.f64 (/.f64 x (log.f64 x))))
(cbrt.f64 (pow.f64 (/.f64 x (log.f64 x)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x (log.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 x (log.f64 x))))
(exp.f64 (log.f64 (/.f64 x (log.f64 x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (log.f64 x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (/.f64 x (log.f64 x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 x) x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (E.f64)) (log.f64 (/.f64 x (log.f64 x)))))

simplify110.0ms (4.4%)

Algorithm
egg-herbie
Rules
791×times-frac
729×fma-define
329×distribute-lft-in
303×associate-*r/
287×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04216167
17546011
221135949
Stop Event
node limit
Counts
179 → 202
Calls
Call 1
Inputs
(+.f64 (log.f64 x) (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 x))))
(+.f64 (log.f64 x) (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 x))))
(+.f64 (log.f64 x) (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 x))))
(+.f64 (log.f64 x) (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 x))))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
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(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(*.f64 #s(literal -1 binary64) (/.f64 x (log.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1 binary64) (/.f64 x (log.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1 binary64) (/.f64 x (log.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1 binary64) (/.f64 x (log.f64 (/.f64 #s(literal 1 binary64) x))))
(/.f64 x (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
(/.f64 x (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
(/.f64 x (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
(/.f64 x (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(+.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal 0 binary64))
(+.f64 (log.f64 (/.f64 x (log.f64 x))) (fma.f64 (neg.f64 (log.f64 (log.f64 x))) #s(literal 1 binary64) (log.f64 (log.f64 x))))
(+.f64 (log.f64 (/.f64 x (log.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (log.f64 x)))) (sqrt.f64 (log.f64 (log.f64 x))) (log.f64 (log.f64 x))))
(+.f64 (neg.f64 (log.f64 (log.f64 x))) (log.f64 x))
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 x (log.f64 x))))
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(+.f64 (log.f64 (cbrt.f64 (/.f64 x (log.f64 x)))) (log.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 x) x) #s(literal -2 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x)))) (log.f64 (sqrt.f64 (/.f64 x (log.f64 x)))))
(+.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 x))) (log.f64 (/.f64 (cbrt.f64 x) (log.f64 x))))
(+.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 x))) (log.f64 (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) (log.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 (sqrt.f64 x) (log.f64 x))))
(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (log.f64 x)))))
(+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x)))))
(+.f64 (fma.f64 (log.f64 x) #s(literal 1 binary64) (neg.f64 (*.f64 (cbrt.f64 (log.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (log.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (log.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) #s(literal 2 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) (log.f64 x) (neg.f64 (*.f64 (cbrt.f64 (log.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (log.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (log.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) #s(literal 2 binary64)) (neg.f64 (*.f64 (cbrt.f64 (log.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (log.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (log.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (log.f64 x)) (neg.f64 (*.f64 (cbrt.f64 (log.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (log.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (log.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (neg.f64 (*.f64 (cbrt.f64 (log.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (log.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (log.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) #s(literal 2 binary64)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (log.f64 x)) #s(literal -2 binary64))) (log.f64 (/.f64 x (cbrt.f64 (log.f64 x)))))
(+.f64 (log.f64 (pow.f64 (log.f64 x) #s(literal -1/2 binary64))) (log.f64 (/.f64 x (sqrt.f64 (log.f64 x)))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (log.f64 (/.f64 (cbrt.f64 x) (log.f64 x))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (log.f64 x)))) (log.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (log.f64 x)))))
(+.f64 (log.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64))) (log.f64 (/.f64 (sqrt.f64 x) (log.f64 x))))
(+.f64 (log.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (log.f64 x)) #s(literal 2 binary64)))) (log.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (log.f64 x)))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (log.f64 x)))) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (log.f64 x) x)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (/.f64 (log.f64 x) x) #s(literal 1 binary64))))
(-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 (log.f64 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 (log.f64 x) x))))
(-.f64 (log.f64 (/.f64 x (sqrt.f64 (log.f64 x)))) (log.f64 (sqrt.f64 (log.f64 x))))
(-.f64 (log.f64 (neg.f64 (neg.f64 x))) (log.f64 (neg.f64 (neg.f64 (log.f64 x)))))
(-.f64 (log.f64 (/.f64 x #s(literal 1 binary64))) (log.f64 (log.f64 x)))
(-.f64 (log.f64 (/.f64 x (pow.f64 (cbrt.f64 (log.f64 x)) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (log.f64 x))))
(*.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal 1 binary64))
(*.f64 (log.f64 (/.f64 x (log.f64 x))) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (log.f64 x))))
(*.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 (log.f64 x) x)))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (/.f64 x (log.f64 x)))))
(*.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 3 binary64) (log.f64 (/.f64 x (log.f64 x)))))
(*.f64 #s(literal 3 binary64) (log.f64 (cbrt.f64 (/.f64 x (log.f64 x)))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (log.f64 (/.f64 x (log.f64 x))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 (/.f64 x (log.f64 x))) (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))))
(*.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal 3 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 (/.f64 x (log.f64 x))) (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (log.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))) (log.f64 (*.f64 x (log.f64 x))))
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(pow.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (log.f64 (/.f64 x (log.f64 x)))))
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(*.f64 x (pow.f64 (E.f64) (neg.f64 (log.f64 (log.f64 x)))))
(*.f64 (/.f64 x (log.f64 x)) #s(literal 1 binary64))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (log.f64 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (log.f64 x))))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (log.f64 x)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (log.f64 x)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 (log.f64 x))))
(*.f64 (pow.f64 (E.f64) (log.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 x) x) #s(literal -2 binary64))))) (pow.f64 (E.f64) (log.f64 (cbrt.f64 (/.f64 x (log.f64 x))))))
(*.f64 (pow.f64 (E.f64) (log.f64 (sqrt.f64 (/.f64 x (log.f64 x))))) (pow.f64 (E.f64) (log.f64 (sqrt.f64 (/.f64 x (log.f64 x))))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (/.f64 x (log.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (log.f64 x)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (log.f64 x)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 x (log.f64 x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 x (log.f64 x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (log.f64 x) x) #s(literal -2 binary64)) x) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 x))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 x (log.f64 x)) (cbrt.f64 (/.f64 x (log.f64 x)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (/.f64 x (log.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (/.f64 x (log.f64 x)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (/.f64 x (log.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) x)) #s(literal 2 binary64)) #s(literal -1 binary64)) (cbrt.f64 (/.f64 x (log.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (log.f64 x) (cbrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (log.f64 x) (sqrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (log.f64 x)) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)) (cbrt.f64 (/.f64 x (log.f64 x))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) #s(literal 2 binary64)) (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (log.f64 x)) (sqrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (log.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (log.f64 x)) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (log.f64 x)) (cbrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 x (log.f64 x)) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 x (log.f64 x)) #s(literal 3 binary64)))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (log.f64 x) x) #s(literal -2 binary64)) x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 x (log.f64 x)) (cbrt.f64 (/.f64 x (log.f64 x)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (/.f64 x (log.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (log.f64 x)) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (/.f64 x (log.f64 x)))))
(pow.f64 (/.f64 x (log.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (log.f64 x) x) #s(literal -2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 x (log.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x (log.f64 x))) #s(literal 2 binary64))
(pow.f64 (/.f64 (log.f64 x) x) #s(literal -1 binary64))
(pow.f64 (E.f64) (log.f64 (/.f64 x (log.f64 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))) (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))) (*.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) #s(literal 1 binary64)))
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) #s(literal 2 binary64)))
(pow.f64 (/.f64 (/.f64 (log.f64 x) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))))) (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))))) (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))) (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))) (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))) (sqrt.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))))) (sqrt.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))))
(neg.f64 (/.f64 x (neg.f64 (log.f64 x))))
(neg.f64 (/.f64 (neg.f64 x) (log.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 x) x) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 x (log.f64 x))))
(cbrt.f64 (pow.f64 (/.f64 x (log.f64 x)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x (log.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 x (log.f64 x))))
(exp.f64 (log.f64 (/.f64 x (log.f64 x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (log.f64 x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (/.f64 x (log.f64 x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 x) x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (E.f64)) (log.f64 (/.f64 x (log.f64 x)))))
Outputs
(+.f64 (log.f64 x) (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 x))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(+.f64 (log.f64 x) (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 x))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(+.f64 (log.f64 x) (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 x))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(+.f64 (log.f64 x) (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 x))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))))))
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))))))
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))))))
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))))))
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(*.f64 #s(literal -1 binary64) (/.f64 x (log.f64 (/.f64 #s(literal 1 binary64) x))))
(/.f64 x (log.f64 x))
(*.f64 #s(literal -1 binary64) (/.f64 x (log.f64 (/.f64 #s(literal 1 binary64) x))))
(/.f64 x (log.f64 x))
(*.f64 #s(literal -1 binary64) (/.f64 x (log.f64 (/.f64 #s(literal 1 binary64) x))))
(/.f64 x (log.f64 x))
(*.f64 #s(literal -1 binary64) (/.f64 x (log.f64 (/.f64 #s(literal 1 binary64) x))))
(/.f64 x (log.f64 x))
(/.f64 x (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
(/.f64 x (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))))
(/.f64 x (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(/.f64 x (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
(/.f64 x (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))))
(/.f64 x (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(/.f64 x (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
(/.f64 x (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))))
(/.f64 x (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(/.f64 x (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
(/.f64 x (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))))
(/.f64 x (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(+.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal 0 binary64))
(log.f64 (/.f64 x (log.f64 x)))
(+.f64 (log.f64 (/.f64 x (log.f64 x))) (fma.f64 (neg.f64 (log.f64 (log.f64 x))) #s(literal 1 binary64) (log.f64 (log.f64 x))))
(log.f64 (/.f64 x (log.f64 x)))
(+.f64 (log.f64 (/.f64 x (log.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (log.f64 x)))) (sqrt.f64 (log.f64 (log.f64 x))) (log.f64 (log.f64 x))))
(log.f64 (/.f64 x (log.f64 x)))
(+.f64 (neg.f64 (log.f64 (log.f64 x))) (log.f64 x))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 x (log.f64 x))))
(log.f64 (/.f64 x (log.f64 x)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 x) x) #s(literal -2 binary64)))) (log.f64 (cbrt.f64 (/.f64 x (log.f64 x)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (/.f64 x (log.f64 x)) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (/.f64 x (log.f64 x)))))
(+.f64 (log.f64 (cbrt.f64 (/.f64 x (log.f64 x)))) (log.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 x) x) #s(literal -2 binary64)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 x) x) #s(literal -2 binary64)))) (log.f64 (cbrt.f64 (/.f64 x (log.f64 x)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (/.f64 x (log.f64 x)) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (/.f64 x (log.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x)))) (log.f64 (sqrt.f64 (/.f64 x (log.f64 x)))))
(log.f64 (/.f64 x (log.f64 x)))
(+.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 x))) (log.f64 (/.f64 (cbrt.f64 x) (log.f64 x))))
(fma.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 x)) (log.f64 (/.f64 (cbrt.f64 x) (log.f64 x))))
(+.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 x))) (log.f64 (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) (log.f64 x)))))
(fma.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 x)) (log.f64 (/.f64 (cbrt.f64 x) (log.f64 x))))
(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 (sqrt.f64 x) (log.f64 x))))
(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (log.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 (sqrt.f64 x) (log.f64 x))))
(+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x)))))
(-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 (log.f64 x))))
(+.f64 (fma.f64 (log.f64 x) #s(literal 1 binary64) (neg.f64 (*.f64 (cbrt.f64 (log.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (log.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (log.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) #s(literal 2 binary64)))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(+.f64 (fma.f64 #s(literal 1 binary64) (log.f64 x) (neg.f64 (*.f64 (cbrt.f64 (log.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (log.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (log.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) #s(literal 2 binary64)))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
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(*.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (log.f64 x) (sqrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) (sqrt.f64 x))))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (log.f64 x))) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (/.f64 (sqrt.f64 x) (log.f64 x)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (log.f64 x)) x) #s(literal -1 binary64)))
(/.f64 x (log.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)) (cbrt.f64 (/.f64 x (log.f64 x))))
(*.f64 (cbrt.f64 (/.f64 x (log.f64 x))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (*.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 x (log.f64 x)))) (cbrt.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (cbrt.f64 (/.f64 x (log.f64 x))) (cbrt.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) #s(literal 2 binary64)) (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (log.f64 x)) (sqrt.f64 x)) #s(literal -1 binary64)))
(/.f64 x (log.f64 x))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (log.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (log.f64 x)) x) #s(literal -1 binary64)))
(/.f64 x (log.f64 x))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (log.f64 x)) (cbrt.f64 x)) #s(literal -1 binary64)))
(/.f64 x (log.f64 x))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 x)) #s(literal -1 binary64)))
(/.f64 x (log.f64 x))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 x (log.f64 x)) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 x (log.f64 x)) #s(literal 3 binary64)))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (log.f64 x) x) #s(literal -2 binary64)) x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 x))))
(*.f64 (cbrt.f64 (*.f64 x (pow.f64 (/.f64 (log.f64 x) x) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 x))))
(/.f64 (cbrt.f64 (*.f64 x (pow.f64 (/.f64 (log.f64 x) x) #s(literal -2 binary64)))) (cbrt.f64 (log.f64 x)))
(/.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 x (log.f64 x)) (cbrt.f64 (/.f64 x (log.f64 x)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (/.f64 x (log.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) #s(literal 4 binary64)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (/.f64 x (log.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) #s(literal 8 binary64))) (cbrt.f64 (cbrt.f64 (/.f64 x (log.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (log.f64 x)) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (/.f64 x (log.f64 x)))))
(pow.f64 (/.f64 x (log.f64 x)) #s(literal 1 binary64))
(/.f64 x (log.f64 x))
(pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) #s(literal 3 binary64))
(/.f64 x (log.f64 x))
(pow.f64 (pow.f64 (/.f64 (log.f64 x) x) #s(literal -2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 x) x) #s(literal -2 binary64)))
(sqrt.f64 (pow.f64 (/.f64 x (log.f64 x)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (/.f64 x (log.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 x (log.f64 x))
(pow.f64 (sqrt.f64 (/.f64 x (log.f64 x))) #s(literal 2 binary64))
(/.f64 x (log.f64 x))
(pow.f64 (/.f64 (log.f64 x) x) #s(literal -1 binary64))
(/.f64 x (log.f64 x))
(pow.f64 (E.f64) (log.f64 (/.f64 x (log.f64 x))))
(/.f64 x (log.f64 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))))
(/.f64 x (log.f64 x))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))) (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))))
(/.f64 x (log.f64 x))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))) (*.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) #s(literal 1 binary64)))
(/.f64 x (log.f64 x))
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) #s(literal 2 binary64)))
(/.f64 x (log.f64 x))
(pow.f64 (/.f64 (/.f64 (log.f64 x) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(/.f64 x (log.f64 x))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))))) (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))))) (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))) (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))) (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))) (fabs.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))))) (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))) (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))) (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))) (sqrt.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))))) (sqrt.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))))
(neg.f64 (/.f64 x (neg.f64 (log.f64 x))))
(/.f64 x (log.f64 x))
(neg.f64 (/.f64 (neg.f64 x) (log.f64 x)))
(/.f64 x (log.f64 x))
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(sqrt.f64 (pow.f64 (/.f64 x (log.f64 x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x (log.f64 x))))
(/.f64 x (log.f64 x))
(cbrt.f64 (pow.f64 (/.f64 x (log.f64 x)) #s(literal 3 binary64)))
(/.f64 x (log.f64 x))
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(/.f64 x (log.f64 x))
(expm1.f64 (log1p.f64 (/.f64 x (log.f64 x))))
(/.f64 x (log.f64 x))
(log1p.f64 (expm1.f64 (/.f64 x (log.f64 x))))
(/.f64 x (log.f64 x))
(exp.f64 (log.f64 (/.f64 x (log.f64 x))))
(/.f64 x (log.f64 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (log.f64 x)))) #s(literal 3 binary64)))
(/.f64 x (log.f64 x))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (/.f64 x (log.f64 x)))) #s(literal 1/3 binary64)))
(/.f64 x (log.f64 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x)))) #s(literal 2 binary64)))
(/.f64 x (log.f64 x))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 x) x)) #s(literal -1 binary64)))
(/.f64 x (log.f64 x))
(exp.f64 (*.f64 (log.f64 (E.f64)) (log.f64 (/.f64 x (log.f64 x)))))
(/.f64 x (log.f64 x))

eval63.0ms (2.5%)

Compiler

Compiled 3571 to 856 computations (76% saved)

prune40.0ms (1.6%)

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New2700270
Fresh000
Picked011
Done000
Total2701271
Accuracy
100.0%
Counts
271 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(log.f64 (/.f64 x (log.f64 x)))
Compiler

Compiled 18 to 10 computations (44.4% saved)

regimes5.0ms (0.2%)

Accuracy

Total -0.2b remaining (-∞%)

Threshold costs -0.2b (-∞%)

Counts
2 → 1
Calls
Call 1
Inputs
(log.f64 (/.f64 x (log.f64 x)))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
Outputs
(log.f64 (/.f64 x (log.f64 x)))
Calls

3 calls:

2.0ms
x
1.0ms
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
1.0ms
(log.f64 x)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
100.0%1(log.f64 x)
Compiler

Compiled 12 to 7 computations (41.7% saved)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
Stop Event
saturated
Calls
Call 1
Inputs
(log.f64 (/.f64 x (log.f64 x)))
Outputs
(log.f64 (/.f64 x (log.f64 x)))

soundness245.0ms (9.9%)

Rules
472×distribute-lft-in
463×log1p-expm1-u
463×expm1-log1p-u
436×add-exp-log
430×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04239131
17417290
220916273
0941
19141
2122941
Stop Event
done
node limit
node limit
Compiler

Compiled 309 to 55 computations (82.2% saved)

preprocess18.0ms (0.7%)

Compiler

Compiled 26 to 16 computations (38.5% saved)

end0.0ms (0%)

Profiling

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