Jmat.Real.lambertw, estimator

Time bar (total: 3.3s)

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 5 computations (37.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
Operation ival-log, time spent: 1.0ms, 152.0% of total-time
Operation ival-sub, time spent: 0.0ms, 0.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

sample1.1s (32%)

Results
1.0s8255×0valid
1.0ms12×0invalid
0.0ms0valid
Precisions
Click to see histograms. Total time spent on operations: 419.0ms
Operation ival-log, time spent: 269.0ms, 64.0% of total-time
Operation ival-sub, time spent: 138.0ms, 33.0% of total-time
Operation const, time spent: 7.0ms, 2.0% of total-time
Operation backward-pass, time spent: 4.0ms, 1.0% of total-time
Bogosity

preprocess135.0ms (4.1%)

Algorithm
egg-herbie
Rules
80×fma-define
66×fma-neg
29×sub-neg
21×unsub-neg
19×associate--r+
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
00-0-x
00-0-(log.f64 x)
00-0-(log.f64 (log.f64 x))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
014120
124120
246116
387116
4153116
5242116
6310116
7365116
8417116
9452116
10478116
11480116
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)))
Compiler

Compiled 35 to 14 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
Operation ival-log, time spent: 20.0ms, 85.0% of total-time
Operation ival-sub, time spent: 3.0ms, 13.0% of total-time
Operation const, time spent: 1.0ms, 4.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
Compiler

Compiled 7 to 4 computations (42.9% saved)

localize40.0ms (1.2%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
99.9%
(log.f64 (log.f64 x))
99.7%
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
Compiler

Compiled 14 to 5 computations (64.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
Operation ival-sub, time spent: 12.0ms, 58.0% of total-time
Operation ival-log, time spent: 9.0ms, 44.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

series205.0ms (6.2%)

Counts
2 → 16
Calls
Call 1
Inputs
#<alt (-.f64 (log.f64 x) (log.f64 (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 (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

6 calls:

TimeVariablePointExpression
116.0ms
x
@0
(- (log x) (log (log x)))
50.0ms
x
@-inf
(- (log x) (log (log x)))
37.0ms
x
@inf
(- (log x) (log (log x)))
0.0ms
x
@-inf
(log (log x))
0.0ms
x
@inf
(log (log x))

rewrite336.0ms (10.1%)

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
0933
19133
2122933
Stop Event
node limit
Counts
2 → 142
Calls
Call 1
Inputs
(-.f64 (log.f64 x) (log.f64 (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)))
(fma.f64 (log.f64 x) #s(literal 1 binary64) (neg.f64 (log.f64 (log.f64 x))))
(fma.f64 (log.f64 x) #s(literal 1 binary64) (*.f64 (neg.f64 (log.f64 (log.f64 x))) #s(literal 1 binary64)))
(fma.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal 1 binary64) (fma.f64 (neg.f64 (log.f64 (log.f64 x))) #s(literal 1 binary64) (log.f64 (log.f64 x))))
(fma.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal 1 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 (log.f64 (/.f64 x (log.f64 x))) #s(literal 1 binary64) (+.f64 (neg.f64 (log.f64 (log.f64 x))) (log.f64 (log.f64 x))))
(fma.f64 #s(literal 1 binary64) (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(fma.f64 #s(literal 1 binary64) (log.f64 x) (*.f64 (neg.f64 (log.f64 (log.f64 x))) #s(literal 1 binary64)))
(fma.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 #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 #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 #s(literal 1 binary64) (neg.f64 (log.f64 (log.f64 x))) (log.f64 x))
(fma.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) #s(literal 2 binary64)) (neg.f64 (log.f64 (log.f64 x))))
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(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (*.f64 (neg.f64 (log.f64 (log.f64 x))) #s(literal 1 binary64)))
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(pow.f64 (log.f64 (log.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) #s(literal 3 binary64))
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(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (log.f64 x))))) (sqrt.f64 (log.f64 (log.f64 (log.f64 x)))))
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(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)))

simplify132.0ms (4%)

Algorithm
egg-herbie
Rules
570×fma-define
447×distribute-lft-neg-in
302×unswap-sqr
265×div-sub
212×distribute-lft-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
03317629
16066156
215165126
354235122
Stop Event
node limit
Counts
158 → 176
Calls
Call 1
Inputs
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(-.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)))))
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(*.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)))
(fma.f64 (log.f64 x) #s(literal 1 binary64) (neg.f64 (log.f64 (log.f64 x))))
(fma.f64 (log.f64 x) #s(literal 1 binary64) (*.f64 (neg.f64 (log.f64 (log.f64 x))) #s(literal 1 binary64)))
(fma.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal 1 binary64) (fma.f64 (neg.f64 (log.f64 (log.f64 x))) #s(literal 1 binary64) (log.f64 (log.f64 x))))
(fma.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal 1 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 (log.f64 (/.f64 x (log.f64 x))) #s(literal 1 binary64) (+.f64 (neg.f64 (log.f64 (log.f64 x))) (log.f64 (log.f64 x))))
(fma.f64 #s(literal 1 binary64) (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(fma.f64 #s(literal 1 binary64) (log.f64 x) (*.f64 (neg.f64 (log.f64 (log.f64 x))) #s(literal 1 binary64)))
(fma.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 #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 #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 #s(literal 1 binary64) (neg.f64 (log.f64 (log.f64 x))) (log.f64 x))
(fma.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) #s(literal 2 binary64)) (neg.f64 (log.f64 (log.f64 x))))
(fma.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) #s(literal 2 binary64)) (*.f64 (neg.f64 (log.f64 (log.f64 x))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (log.f64 x)) (neg.f64 (log.f64 (log.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (log.f64 x)) (*.f64 (neg.f64 (log.f64 (log.f64 x))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (log.f64 (log.f64 x)))) (log.f64 x))
(fma.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)) (fma.f64 (neg.f64 (log.f64 (log.f64 x))) #s(literal 1 binary64) (log.f64 (log.f64 x))))
(fma.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)) (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 (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 (neg.f64 (log.f64 (log.f64 x))) (log.f64 (log.f64 x))))
(fma.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)))) (fma.f64 (neg.f64 (log.f64 (log.f64 x))) #s(literal 1 binary64) (log.f64 (log.f64 x))))
(fma.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)))) (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 (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 (neg.f64 (log.f64 (log.f64 x))) (log.f64 (log.f64 x))))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (neg.f64 (log.f64 (log.f64 x))))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (*.f64 (neg.f64 (log.f64 (log.f64 x))) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (log.f64 (log.f64 x))) (neg.f64 (sqrt.f64 (log.f64 (log.f64 x)))) (log.f64 x))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (sqrt.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))))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (sqrt.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))))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (+.f64 (neg.f64 (log.f64 (log.f64 x))) (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)))) (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 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 (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 (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 (log.f64 x) (log.f64 (log.f64 x)))
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(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))))
(*.f64 #s(literal 3 binary64) (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 #s(literal 3 binary64) (log.f64 (cbrt.f64 (log.f64 x))))
(+.f64 (log.f64 (sqrt.f64 (log.f64 x))) (log.f64 (sqrt.f64 (log.f64 x))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.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))))
(*.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)))
(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 (pow.f64 (log.f64 (log.f64 x)) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (log.f64 (log.f64 x)))))
(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))

eval88.0ms (2.6%)

Compiler

Compiled 2660 to 896 computations (66.3% saved)

prune22.0ms (0.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1751176
Fresh000
Picked011
Done000
Total1752177
Accuracy
100.0%
Counts
177 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
100.0%
(log.f64 (/.f64 x (log.f64 x)))
Compiler

Compiled 13 to 8 computations (38.5% saved)

localize33.0ms (1%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
100.0%
(log.f64 (/.f64 x (log.f64 x)))
99.6%
(/.f64 x (log.f64 x))
Compiler

Compiled 14 to 5 computations (64.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
Operation ival-log, time spent: 9.0ms, 82.0% of total-time
Operation ival-div, time spent: 2.0ms, 18.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

series71.0ms (2.1%)

Counts
2 → 20
Calls
Call 1
Inputs
#<alt (/.f64 x (log.f64 x))>
#<alt (log.f64 (/.f64 x (log.f64 x)))>
Outputs
#<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)))))>
#<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))))>
Calls

6 calls:

TimeVariablePointExpression
19.0ms
x
@-inf
(log (/ x (log x)))
17.0ms
x
@0
(log (/ x (log x)))
17.0ms
x
@inf
(log (/ x (log x)))
10.0ms
x
@inf
(/ x (log x))
5.0ms
x
@-inf
(/ x (log x))

rewrite96.0ms (2.9%)

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
(/.f64 x (log.f64 x))
(log.f64 (/.f64 x (log.f64 x)))
Outputs
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 x (log.f64 x)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 x (log.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (log.f64 x)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (log.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (log.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (log.f64 x))))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (log.f64 x))) #s(literal 1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) (log.f64 x)))
(*.f64 x (pow.f64 (E.f64) (neg.f64 (log.f64 (log.f64 x)))))
(*.f64 (/.f64 x (log.f64 x)) #s(literal 1 binary64))
(*.f64 (/.f64 x (log.f64 x)) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (/.f64 x (log.f64 x)))
(*.f64 (cbrt.f64 (/.f64 x (log.f64 x))) (cbrt.f64 (pow.f64 (/.f64 (log.f64 x) x) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 x) x) #s(literal -2 binary64))) (cbrt.f64 (/.f64 x (log.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) (log.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) (log.f64 x))))
(*.f64 (sqrt.f64 (/.f64 x (log.f64 x))) (sqrt.f64 (/.f64 x (log.f64 x))))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (log.f64 x)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (log.f64 x))))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 x)) x)
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) #s(literal -2 binary64)) (/.f64 x (cbrt.f64 (log.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) #s(literal -2 binary64)) (pow.f64 (/.f64 (cbrt.f64 (log.f64 x)) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (log.f64 x) #s(literal -1/2 binary64)) (/.f64 x (sqrt.f64 (log.f64 x))))
(*.f64 (pow.f64 (log.f64 x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 (log.f64 x)) x) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) (log.f64 x)))
(*.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)))
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(pow.f64 (/.f64 (/.f64 (log.f64 x) x) #s(literal 1 binary64)) #s(literal -1 binary64))
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(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)))))
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
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(+.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)))))
(+.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))))
(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 (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)))
(neg.f64 (log.f64 (/.f64 (/.f64 (log.f64 x) x) #s(literal 1 binary64))))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal 2 binary64)))
(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 (*.f64 #s(literal 3 binary64) (log.f64 (log.f64 (/.f64 x (log.f64 x))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))) #s(literal 2 binary64)))
(fma.f64 (log.f64 x) #s(literal 1 binary64) (neg.f64 (log.f64 (log.f64 x))))
(fma.f64 #s(literal 1 binary64) (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(fma.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) #s(literal 2 binary64)) (neg.f64 (log.f64 (log.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (log.f64 x)) (neg.f64 (log.f64 (log.f64 x))))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (neg.f64 (log.f64 (log.f64 x))))

simplify101.0ms (3%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
04216167
17446011
220995949
Stop Event
node limit
Counts
179 → 207
Calls
Call 1
Inputs
(*.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) (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))))
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(+.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 (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))))
(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 (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)))
(neg.f64 (log.f64 (/.f64 (/.f64 (log.f64 x) x) #s(literal 1 binary64))))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal 2 binary64)))
(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 (*.f64 #s(literal 3 binary64) (log.f64 (log.f64 (/.f64 x (log.f64 x))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))) #s(literal 2 binary64)))
(fma.f64 (log.f64 x) #s(literal 1 binary64) (neg.f64 (log.f64 (log.f64 x))))
(fma.f64 #s(literal 1 binary64) (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(fma.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) #s(literal 2 binary64)) (neg.f64 (log.f64 (log.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (log.f64 x)) (neg.f64 (log.f64 (log.f64 x))))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (neg.f64 (log.f64 (log.f64 x))))
Outputs
(*.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) (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 (/.f64 x (log.f64 x)) #s(literal 1 binary64)))
(/.f64 x (log.f64 x))
(+.f64 #s(literal 0 binary64) (/.f64 x (log.f64 x)))
(/.f64 x (log.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (log.f64 x)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (log.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (log.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (log.f64 x))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (log.f64 x))))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (log.f64 x))) #s(literal 1 binary64))
(/.f64 x (log.f64 x))
(*.f64 x (/.f64 #s(literal 1 binary64) (log.f64 x)))
(/.f64 x (log.f64 x))
(*.f64 x (pow.f64 (E.f64) (neg.f64 (log.f64 (log.f64 x)))))
(*.f64 (/.f64 x (log.f64 x)) #s(literal 1 binary64))
(/.f64 x (log.f64 x))
(*.f64 (/.f64 x (log.f64 x)) (log.f64 (E.f64)))
(/.f64 x (log.f64 x))
(*.f64 #s(literal 1 binary64) (/.f64 x (log.f64 x)))
(/.f64 x (log.f64 x))
(*.f64 (cbrt.f64 (/.f64 x (log.f64 x))) (cbrt.f64 (pow.f64 (/.f64 (log.f64 x) x) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (/.f64 x (log.f64 x))) (cbrt.f64 (pow.f64 (/.f64 x (log.f64 x)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 x) x) #s(literal -2 binary64))) (cbrt.f64 (/.f64 x (log.f64 x))))
(*.f64 (cbrt.f64 (/.f64 x (log.f64 x))) (cbrt.f64 (pow.f64 (/.f64 (log.f64 x) x) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (/.f64 x (log.f64 x))) (cbrt.f64 (pow.f64 (/.f64 x (log.f64 x)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) (log.f64 x)))
(/.f64 x (log.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) (log.f64 x))))
(/.f64 x (log.f64 x))
(*.f64 (sqrt.f64 (/.f64 x (log.f64 x))) (sqrt.f64 (/.f64 x (log.f64 x))))
(/.f64 x (log.f64 x))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (log.f64 x)))
(/.f64 x (log.f64 x))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (log.f64 x))))
(/.f64 x (log.f64 x))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))))
(/.f64 x (log.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 x)) x)
(/.f64 x (log.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(/.f64 x (log.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) #s(literal -2 binary64)) (/.f64 x (cbrt.f64 (log.f64 x))))
(*.f64 x (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) #s(literal -2 binary64)) (cbrt.f64 (log.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) #s(literal -2 binary64)) (pow.f64 (/.f64 (cbrt.f64 (log.f64 x)) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) #s(literal -2 binary64)) (/.f64 x (cbrt.f64 (log.f64 x))))
(*.f64 x (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) #s(literal -2 binary64)) (cbrt.f64 (log.f64 x))))
(*.f64 (pow.f64 (log.f64 x) #s(literal -1/2 binary64)) (/.f64 x (sqrt.f64 (log.f64 x))))
(/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal -1/2 binary64)) x) (sqrt.f64 (log.f64 x)))
(/.f64 (*.f64 x (pow.f64 (log.f64 x) #s(literal -1/2 binary64))) (sqrt.f64 (log.f64 x)))
(*.f64 (pow.f64 (log.f64 x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 (log.f64 x)) x) #s(literal -1 binary64)))
(/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal -1/2 binary64)) x) (sqrt.f64 (log.f64 x)))
(/.f64 (*.f64 x (pow.f64 (log.f64 x) #s(literal -1/2 binary64))) (sqrt.f64 (log.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) (log.f64 x)))
(/.f64 x (log.f64 x))
(*.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 x (log.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (log.f64 x)))
(/.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 x (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 (cbrt.f64 (pow.f64 (/.f64 x (log.f64 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 x (log.f64 x))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (/.f64 x (log.f64 x)))
(/.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 x (log.f64 x))
(*.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 (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 (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 (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 (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 (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 (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 (cbrt.f64 (pow.f64 (/.f64 x (log.f64 x)) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (/.f64 x (log.f64 x)))))
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(*.f64 (log.f64 (/.f64 x (log.f64 x))) (log.f64 (E.f64)))
(log.f64 (/.f64 x (log.f64 x)))
(*.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (log.f64 x))))
(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)))
(log.f64 (/.f64 x (log.f64 x)))
(*.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)))))
(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)))))
(log.f64 (/.f64 x (log.f64 x)))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 (log.f64 x) x)))
(log.f64 (/.f64 x (log.f64 x)))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (/.f64 x (log.f64 x)))))
(log.f64 (/.f64 x (log.f64 x)))
(*.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 3 binary64) (log.f64 (/.f64 x (log.f64 x)))))
(log.f64 (/.f64 x (log.f64 x)))
(*.f64 #s(literal 3 binary64) (log.f64 (cbrt.f64 (/.f64 x (log.f64 x)))))
(log.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))))
(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)))
(log.f64 (/.f64 x (log.f64 x)))
(*.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 (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 (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 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))) (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))))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) #s(literal 4 binary64)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) #s(literal 8 binary64))))
(*.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 (log.f64 (/.f64 x (log.f64 x))))) (cbrt.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal 5/2 binary64))))
(*.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 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))) (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))))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) #s(literal 4 binary64)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) #s(literal 8 binary64))))
(*.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 (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))) (cbrt.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal 5/2 binary64))))
(/.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 3 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (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 3 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 (log.f64 x)) (+.f64 (log.f64 x) (log.f64 (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))) (fma.f64 (log.f64 (log.f64 x)) (+.f64 (log.f64 x) (log.f64 (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))))
(pow.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal 1 binary64))
(log.f64 (/.f64 x (log.f64 x)))
(pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) #s(literal 3 binary64))
(log.f64 (/.f64 x (log.f64 x)))
(pow.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(log.f64 (/.f64 x (log.f64 x)))
(pow.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(log.f64 (/.f64 x (log.f64 x)))
(pow.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) #s(literal 2 binary64))
(log.f64 (/.f64 x (log.f64 x)))
(pow.f64 (E.f64) (log.f64 (log.f64 (/.f64 x (log.f64 x)))))
(log.f64 (/.f64 x (log.f64 x)))
(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)))
(log.f64 (/.f64 x (log.f64 x)))
(neg.f64 (log.f64 (/.f64 (/.f64 (log.f64 x) x) #s(literal 1 binary64))))
(log.f64 (/.f64 x (log.f64 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)))
(log.f64 (/.f64 x (log.f64 x)))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 x (log.f64 x)))))
(log.f64 (/.f64 x (log.f64 x)))
(log1p.f64 (-.f64 (/.f64 x (log.f64 x)) #s(literal 1 binary64)))
(log.f64 (/.f64 x (log.f64 x)))
(exp.f64 (log.f64 (log.f64 (/.f64 x (log.f64 x)))))
(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)))
(log.f64 (/.f64 x (log.f64 x)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (log.f64 (/.f64 x (log.f64 x))))) #s(literal 1/3 binary64)))
(log.f64 (/.f64 x (log.f64 x)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))) #s(literal 2 binary64)))
(log.f64 (/.f64 x (log.f64 x)))
(fma.f64 (log.f64 x) #s(literal 1 binary64) (neg.f64 (log.f64 (log.f64 x))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(fma.f64 #s(literal 1 binary64) (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(fma.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) #s(literal 2 binary64)) (neg.f64 (log.f64 (log.f64 x))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (log.f64 x)) (neg.f64 (log.f64 (log.f64 x))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (neg.f64 (log.f64 (log.f64 x))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))

eval46.0ms (1.4%)

Compiler

Compiled 2852 to 1113 computations (61% saved)

prune26.0ms (0.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New2061207
Fresh000
Picked011
Done101
Total2072209
Accuracy
100.0%
Counts
209 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (log.f64 x)))) #s(literal 1 binary64))
100.0%
(log.f64 (/.f64 x (log.f64 x)))
Compiler

Compiled 16 to 12 computations (25% saved)

localize107.0ms (3.2%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
100.0%
(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (log.f64 x)))) #s(literal 1 binary64))
100.0%
(log.f64 (/.f64 x (log.f64 x)))
99.6%
(/.f64 x (log.f64 x))
Compiler

Compiled 31 to 12 computations (61.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
Operation ival-log, time spent: 9.0ms, 57.0% of total-time
Operation ival-add, time spent: 3.0ms, 19.0% of total-time
Operation ival-div, time spent: 2.0ms, 13.0% of total-time
Operation ival-sub, time spent: 2.0ms, 13.0% of total-time
Operation const, time spent: 1.0ms, 6.0% of total-time

series1.0ms (0%)

Counts
1 → 12
Calls
Call 1
Inputs
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (log.f64 x)))) #s(literal 1 binary64))>
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))))>
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(- (+ 1 (log (/ x (log x)))) 1)
0.0ms
x
@inf
(- (+ 1 (log (/ x (log x)))) 1)
0.0ms
x
@0
(- (+ 1 (log (/ x (log x)))) 1)

rewrite111.0ms (3.3%)

Algorithm
batch-egg-rewrite
Rules
714×log1p-expm1-u
714×expm1-log1p-u
592×unpow-prod-down
312×log-prod
278×prod-diff
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01233
115421
2218221
Stop Event
node limit
Counts
1 → 125
Calls
Call 1
Inputs
(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (log.f64 x)))) #s(literal 1 binary64))
Outputs
(+.f64 #s(literal 1 binary64) (+.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal -1 binary64)))
(+.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 (sqrt.f64 (log.f64 (log.f64 x)))) (sqrt.f64 (log.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 (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (log.f64 x)))) (log.f64 (exp.f64 #s(literal -1 binary64))))
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 x (log.f64 x))))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (log.f64 x)))))
(+.f64 (+.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal -1 binary64)) #s(literal 1 binary64))
(+.f64 (neg.f64 (log.f64 (log.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 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (/.f64 x (log.f64 x))))) (log.f64 (cbrt.f64 (/.f64 x (log.f64 x)))))
(+.f64 (log.f64 (cbrt.f64 (/.f64 x (log.f64 x)))) (*.f64 #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 (neg.f64 x)) (log.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x)))))
(+.f64 (fma.f64 #s(literal 1 binary64) (log.f64 x) (neg.f64 (*.f64 (log.f64 (log.f64 x)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (log.f64 (log.f64 x))) #s(literal 1 binary64) (*.f64 (log.f64 (log.f64 x)) #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (log.f64 x) (neg.f64 (*.f64 (cbrt.f64 (log.f64 (log.f64 x))) (*.f64 (cbrt.f64 (log.f64 (log.f64 x))) (cbrt.f64 (log.f64 (log.f64 x))))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (log.f64 x)))) (*.f64 (cbrt.f64 (log.f64 (log.f64 x))) (cbrt.f64 (log.f64 (log.f64 x)))) (*.f64 (cbrt.f64 (log.f64 (log.f64 x))) (*.f64 (cbrt.f64 (log.f64 (log.f64 x))) (cbrt.f64 (log.f64 (log.f64 x)))))))
(+.f64 (fma.f64 (log.f64 x) #s(literal 1 binary64) (neg.f64 (*.f64 (log.f64 (log.f64 x)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (log.f64 (log.f64 x))) #s(literal 1 binary64) (*.f64 (log.f64 (log.f64 x)) #s(literal 1 binary64))))
(+.f64 (fma.f64 (log.f64 x) #s(literal 1 binary64) (neg.f64 (*.f64 (cbrt.f64 (log.f64 (log.f64 x))) (*.f64 (cbrt.f64 (log.f64 (log.f64 x))) (cbrt.f64 (log.f64 (log.f64 x))))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (log.f64 x)))) (*.f64 (cbrt.f64 (log.f64 (log.f64 x))) (cbrt.f64 (log.f64 (log.f64 x)))) (*.f64 (cbrt.f64 (log.f64 (log.f64 x))) (*.f64 (cbrt.f64 (log.f64 (log.f64 x))) (cbrt.f64 (log.f64 (log.f64 x)))))))
(+.f64 (fma.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) #s(literal 2 binary64)) (neg.f64 (*.f64 (log.f64 (log.f64 x)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (log.f64 (log.f64 x))) #s(literal 1 binary64) (*.f64 (log.f64 (log.f64 x)) #s(literal 1 binary64))))
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(fma.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 (log.f64 (/.f64 x (log.f64 x)))))) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal -1 binary64))) (cbrt.f64 (+.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal -1 binary64)))) (cbrt.f64 (+.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (+.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal -1 binary64))) (sqrt.f64 (+.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (log.f64 x))))) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (log.f64 (/.f64 x (log.f64 x)))))) #s(literal 0 binary64))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))

simplify149.0ms (4.5%)

Algorithm
egg-herbie
Rules
740×distribute-lft-in
691×distribute-rgt-in
383×associate-+r+
382×cancel-sign-sub-inv
358×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03535511
17185345
219515281
Stop Event
node limit
Counts
137 → 164
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))))
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(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 (sqrt.f64 x) (log.f64 x))))
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(+.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))))
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(*.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (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 (exp.f64 #s(literal 1 binary64))))
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(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))))
(*.f64 #s(literal 3 binary64) (log.f64 (cbrt.f64 (/.f64 x (log.f64 x)))))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal 2 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 (log.f64 (/.f64 x (log.f64 x))))))))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (log.f64 (/.f64 x (log.f64 x)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (log.f64 x)))) #s(literal 2 binary64)) (+.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal 2 binary64))))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (log.f64 (/.f64 x (log.f64 x)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (log.f64 x)))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (log.f64 x)))) #s(literal -1 binary64)))))
(/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 (log.f64 (/.f64 x (log.f64 x)))))) (+.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal 2 binary64)))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (log.f64 (/.f64 x (log.f64 x)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (log.f64 x)))) #s(literal 2 binary64)) (+.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 (log.f64 (/.f64 x (log.f64 x))))))) (neg.f64 (+.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (+.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal -1 binary64)) (+.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal -1 binary64))) (+.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal -1 binary64)))))
(/.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)) (fma.f64 (log.f64 (log.f64 x)) (log.f64 (log.f64 x)) (*.f64 (log.f64 x) (log.f64 (log.f64 x))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal -1 binary64)) (+.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (+.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 (log.f64 x)) (log.f64 (log.f64 x)))) (log.f64 (*.f64 x (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 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (log.f64 x)))) #s(literal 2 binary64)) (+.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal 2 binary64))) (expm1.f64 (*.f64 (log1p.f64 (log.f64 (/.f64 x (log.f64 x)))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal 2 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 (log.f64 (/.f64 x (log.f64 x))))))) #s(literal -1 binary64))
(neg.f64 (log.f64 (/.f64 (log.f64 x) x)))
(neg.f64 (log.f64 (/.f64 (/.f64 (log.f64 x) x) #s(literal 1 binary64))))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal 2 binary64)))
(log.f64 (/.f64 x (log.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 x (log.f64 x)) #s(literal 1 binary64))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 x))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (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)))))
(hypot.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (sqrt.f64 (*.f64 (log.f64 (/.f64 x (log.f64 x))) (+.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal -1 binary64)))))
(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 (*.f64 (log.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)))
(fma.f64 #s(literal 1 binary64) (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(fma.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (log.f64 x))) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (log.f64 x)))) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (+.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (log.f64 x) #s(literal 1 binary64) (neg.f64 (log.f64 (log.f64 x))))
(fma.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (log.f64 x)))) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.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)) #s(literal 0 binary64))
(fma.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)))) #s(literal 0 binary64))
(fma.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) #s(literal 2 binary64)) (neg.f64 (log.f64 (log.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (log.f64 x)) (neg.f64 (log.f64 (log.f64 x))))
(fma.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (log.f64 x))))) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (log.f64 x))))) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (log.f64 x))))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (log.f64 x))))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (log.f64 x))))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (log.f64 x))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (neg.f64 (log.f64 (log.f64 x))))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (log.f64 x))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (log.f64 x))))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (log.f64 x))))) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (log.f64 x))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (/.f64 x (log.f64 x))) (+.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (expm1.f64 (*.f64 (log1p.f64 (log.f64 (/.f64 x (log.f64 x)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (log.f64 x)))) #s(literal 2 binary64)) (+.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 (log.f64 x) x)))) #s(literal -1 binary64))
(fma.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 (log.f64 (/.f64 x (log.f64 x)))))) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal -1 binary64))) (cbrt.f64 (+.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal -1 binary64)))) (cbrt.f64 (+.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (+.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal -1 binary64))) (sqrt.f64 (+.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (log.f64 x))))) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (log.f64 (/.f64 x (log.f64 x)))))) #s(literal 0 binary64))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
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 (log.f64 (/.f64 x (log.f64 x))) #s(literal -1 binary64)))
(log.f64 (/.f64 x (log.f64 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 (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 (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (log.f64 x)))) #s(literal -1 binary64))
(log.f64 (/.f64 x (log.f64 x)))
(+.f64 (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (log.f64 x)))) (log.f64 (exp.f64 #s(literal -1 binary64))))
(log.f64 (/.f64 x (log.f64 x)))
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 x (log.f64 x))))
(log.f64 (/.f64 x (log.f64 x)))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (log.f64 x)))))
(log.f64 (/.f64 x (log.f64 x)))
(+.f64 (+.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal -1 binary64)) #s(literal 1 binary64))
(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 (*.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 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (/.f64 x (log.f64 x))))) (log.f64 (cbrt.f64 (/.f64 x (log.f64 x)))))
(*.f64 (log.f64 (cbrt.f64 (/.f64 x (log.f64 x)))) #s(literal 3 binary64))
(+.f64 (log.f64 (cbrt.f64 (/.f64 x (log.f64 x)))) (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (/.f64 x (log.f64 x))))))
(*.f64 (log.f64 (cbrt.f64 (/.f64 x (log.f64 x)))) #s(literal 3 binary64))
(+.f64 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x)))) (log.f64 (sqrt.f64 (/.f64 x (log.f64 x)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (/.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)) (neg.f64 (log.f64 (neg.f64 (log.f64 x)))))
(-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 (log.f64 x))))
(+.f64 (fma.f64 #s(literal 1 binary64) (log.f64 x) (neg.f64 (*.f64 (log.f64 (log.f64 x)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (log.f64 (log.f64 x))) #s(literal 1 binary64) (*.f64 (log.f64 (log.f64 x)) #s(literal 1 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))) (*.f64 (cbrt.f64 (log.f64 (log.f64 x))) (cbrt.f64 (log.f64 (log.f64 x))))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (log.f64 x)))) (*.f64 (cbrt.f64 (log.f64 (log.f64 x))) (cbrt.f64 (log.f64 (log.f64 x)))) (*.f64 (cbrt.f64 (log.f64 (log.f64 x))) (*.f64 (cbrt.f64 (log.f64 (log.f64 x))) (cbrt.f64 (log.f64 (log.f64 x)))))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
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(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal 3 binary64))) (fma.f64 (log.f64 (/.f64 x (log.f64 x))) (+.f64 #s(literal -1 binary64) (log.f64 (/.f64 x (log.f64 x)))) #s(literal 1 binary64))))
(fma.f64 (expm1.f64 (*.f64 (log1p.f64 (log.f64 (/.f64 x (log.f64 x)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (log.f64 x)))) #s(literal 2 binary64)) (+.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal 2 binary64)))) #s(literal 0 binary64))
(*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) (log1p.f64 (log.f64 (/.f64 x (log.f64 x)))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (log.f64 x)))) #s(literal 2 binary64)) (+.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal 2 binary64)))))
(/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) (log1p.f64 (log.f64 (/.f64 x (log.f64 x)))))) (+.f64 #s(literal 2 binary64) (+.f64 (log.f64 (/.f64 x (log.f64 x))) (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (log.f64 x)))) #s(literal 2 binary64)))))
(/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) (log1p.f64 (log.f64 (/.f64 x (log.f64 x)))))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (log.f64 x)))) (+.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal 2 binary64)))))
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 (log.f64 x) x)))) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 (log.f64 x) x)))))
(fma.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 (log.f64 (/.f64 x (log.f64 x)))))) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal 2 binary64))) #s(literal 0 binary64))
(*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 (log.f64 (/.f64 x (log.f64 x)))))) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal 2 binary64))))
(/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 (log.f64 (/.f64 x (log.f64 x)))))) (+.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal 2 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal -1 binary64))) (cbrt.f64 (+.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal -1 binary64)))) (cbrt.f64 (+.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal -1 binary64))) #s(literal 1 binary64))
(log.f64 (/.f64 x (log.f64 x)))
(fma.f64 (sqrt.f64 (+.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal -1 binary64))) (sqrt.f64 (+.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal -1 binary64))) #s(literal 1 binary64))
(log.f64 (/.f64 x (log.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (log.f64 x))))) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (log.f64 (/.f64 x (log.f64 x)))))) #s(literal 0 binary64))
(log.f64 (/.f64 x (log.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(log.f64 (/.f64 x (log.f64 x)))

eval132.0ms (4%)

Compiler

Compiled 6604 to 2971 computations (55% saved)

prune99.0ms (3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New3710371
Fresh000
Picked011
Done011
Total3712373
Accuracy
100.0%
Counts
373 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (log.f64 x)))) #s(literal 1 binary64))
100.0%
(log.f64 (/.f64 x (log.f64 x)))
Compiler

Compiled 37 to 22 computations (40.5% saved)

regimes9.0ms (0.3%)

Accuracy

Total -0.2b remaining (-5200%)

Threshold costs -0.2b (-5200%)

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

3 calls:

4.0ms
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
3.0ms
(log.f64 x)
2.0ms
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)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

Compiled 6 to 4 computations (33.3% saved)

soundness298.0ms (9%)

Rules
570×fma-define
463×log1p-expm1-u
463×expm1-log1p-u
447×distribute-lft-neg-in
436×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03317629
16066156
215165126
354235122
0933
19133
2122933
Stop Event
node limit
node limit
Compiler

Compiled 303 to 82 computations (72.9% saved)

end0.0ms (0%)

preprocess19.0ms (0.6%)

Compiler

Compiled 26 to 16 computations (38.5% saved)

Profiling

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