Jmat.Real.lambertw, estimator

Time bar (total: 3.0s)

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, 141.0% 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 (36.2%)

Results
1.0s8255×256valid
0.0ms256invalid
0.0ms256valid
Precisions
Click to see histograms. Total time spent on operations: 433.0ms
Operation ival-log, time spent: 364.0ms, 84.0% of total-time
Operation ival-sub, time spent: 60.0ms, 14.0% of total-time
Operation const, time spent: 9.0ms, 2.0% of total-time
Bogosity

preprocess141.0ms (4.6%)

Algorithm
egg-herbie
Rules
160×fma-define
132×fma-neg
58×sub-neg
42×unsub-neg
38×associate--r+
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(log.f64 (log.f64 x))
00-0-(log.f64 x)
00-0-(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
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 42 to 18 computations (57.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
Operation ival-log, time spent: 18.0ms, 81.0% of total-time
Operation ival-sub, time spent: 3.0ms, 14.0% of total-time
Operation const, time spent: 1.0ms, 5.0% 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
99.6%
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
Compiler

Compiled 7 to 4 computations (42.9% saved)

localize36.0ms (1.2%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
99.9%
(log.f64 (log.f64 x))
99.6%
(-.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: 11.0ms
Operation ival-log, time spent: 9.0ms, 84.0% of total-time
Operation ival-sub, time spent: 2.0ms, 19.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

series138.0ms (4.6%)

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 -1 (log.f64 (/.f64 1 x))) (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x)))))>
#<alt (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x)))))>
#<alt (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x)))))>
#<alt (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x)))))>
#<alt (-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (log.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))>
#<alt (-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (log.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))>
#<alt (-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (log.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))>
#<alt (-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (log.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))>
#<alt (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x))))>
#<alt (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x))))>
#<alt (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x))))>
#<alt (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x))))>
#<alt (log.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))>
#<alt (log.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))>
#<alt (log.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))>
#<alt (log.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))>
Calls

6 calls:

TimeVariablePointExpression
54.0ms
x
@-inf
(- (log x) (log (log x)))
54.0ms
x
@0
(- (log x) (log (log x)))
29.0ms
x
@inf
(- (log x) (log (log x)))
0.0ms
x
@-inf
(log (log x))
0.0ms
x
@inf
(log (log x))

rewrite206.0ms (6.8%)

Algorithm
batch-egg-rewrite
Rules
750×unpow-prod-down
718×prod-diff
463×log1p-expm1-u
463×expm1-log1p-u
436×add-exp-log
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))) 1))
(+.f64 (log.f64 (/.f64 x (log.f64 x))) (fma.f64 (neg.f64 (log.f64 (log.f64 x))) 1 (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))) 2) (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 -1 (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))) 2)) (cbrt.f64 (log.f64 (log.f64 x))) (log.f64 (log.f64 x))))
(+.f64 (neg.f64 (log.f64 (log.f64 x))) (log.f64 x))
(+.f64 0 (log.f64 (/.f64 x (log.f64 x))))
(+.f64 (*.f64 2 (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))) 2)) (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)) -2)) (log.f64 (/.f64 x (cbrt.f64 (log.f64 x)))))
(+.f64 (log.f64 (pow.f64 (log.f64 x) -1/2)) (log.f64 (/.f64 x (sqrt.f64 (log.f64 x)))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1)) (log.f64 (/.f64 (cbrt.f64 x) (log.f64 x))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (log.f64 x)) 2))) (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (log.f64 x)))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (log.f64 x)))) (log.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (log.f64 x)))))
(+.f64 (log.f64 (/.f64 (sqrt.f64 x) 1)) (log.f64 (/.f64 (sqrt.f64 x) (log.f64 x))))
(+.f64 (log.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (log.f64 x)) 2))) (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))) 1)
(*.f64 (log.f64 (/.f64 x (log.f64 x))) (log.f64 (E.f64)))
(*.f64 1 (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)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2) (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) 3) (pow.f64 (log.f64 (log.f64 x)) 3)) (/.f64 1 (fma.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 x) 2))))
(*.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (log.f64 x)) 2)) (/.f64 1 (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 1 1/3) (log.f64 (/.f64 x (log.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))) 2) 3) (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 (/.f64 x (log.f64 x))) (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))))
(*.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))))
(/.f64 1 (/.f64 (fma.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 x) 2)) (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3))))
(/.f64 1 (/.f64 (log.f64 (*.f64 x (log.f64 x))) (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (log.f64 x)) 2))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3)) (fma.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 x) 2)))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (log.f64 x)) 2)) (log.f64 (*.f64 x (log.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3))) (neg.f64 (fma.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 x) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (log.f64 x)) 2))) (neg.f64 (log.f64 (*.f64 x (log.f64 x)))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (neg.f64 (log.f64 (log.f64 x))) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 (pow.f64 (neg.f64 (log.f64 (log.f64 x))) 2) (*.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (neg.f64 (log.f64 (log.f64 x))) 2)) (log.f64 (/.f64 x (/.f64 1 (log.f64 x)))))
(pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2)
(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) 2)) (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3))) -1)
(pow.f64 (/.f64 (log.f64 (*.f64 x (log.f64 x))) (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (log.f64 x)) 2))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (/.f64 x (log.f64 x))))) 2)) (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))) 2))
(log.f64 (/.f64 x (log.f64 x)))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 x (log.f64 x)))))
(log1p.f64 (-.f64 (/.f64 x (log.f64 x)) 1))
(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))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))) 2))
(fma.f64 (log.f64 x) 1 (neg.f64 (log.f64 (log.f64 x))))
(fma.f64 (log.f64 x) 1 (*.f64 (neg.f64 (log.f64 (log.f64 x))) 1))
(fma.f64 (log.f64 (/.f64 x (log.f64 x))) 1 (fma.f64 (neg.f64 (log.f64 (log.f64 x))) 1 (log.f64 (log.f64 x))))
(fma.f64 (log.f64 (/.f64 x (log.f64 x))) 1 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (log.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2) (log.f64 (log.f64 x))))
(fma.f64 (log.f64 (/.f64 x (log.f64 x))) 1 (+.f64 (neg.f64 (log.f64 (log.f64 x))) (log.f64 (log.f64 x))))
(fma.f64 1 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(fma.f64 1 (log.f64 x) (*.f64 (neg.f64 (log.f64 (log.f64 x))) 1))
(fma.f64 1 (log.f64 (/.f64 x (log.f64 x))) (fma.f64 (neg.f64 (log.f64 (log.f64 x))) 1 (log.f64 (log.f64 x))))
(fma.f64 1 (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))) 2) (log.f64 (log.f64 x))))
(fma.f64 1 (log.f64 (/.f64 x (log.f64 x))) (+.f64 (neg.f64 (log.f64 (log.f64 x))) (log.f64 (log.f64 x))))
(fma.f64 1 (neg.f64 (log.f64 (log.f64 x))) (log.f64 x))
(fma.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (neg.f64 (log.f64 (log.f64 x))))
(fma.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (neg.f64 (log.f64 (log.f64 x))) 1))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (neg.f64 (log.f64 (log.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (*.f64 (neg.f64 (log.f64 (log.f64 x))) 1))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2) (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)))) 2) (fma.f64 (neg.f64 (log.f64 (log.f64 x))) 1 (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)))) 2) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (log.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2) (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)))) 2) (+.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)))) 2) (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (fma.f64 (neg.f64 (log.f64 (log.f64 x))) 1 (log.f64 (log.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2) (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))) 2) (log.f64 (log.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2) (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))) 1))
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(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 -1 (log.f64 (log.f64 x)) (log.f64 x))
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(cbrt.f64 (pow.f64 (log.f64 (log.f64 x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (log.f64 x))))
(log1p.f64 (-.f64 (log.f64 x) 1))
(exp.f64 (log.f64 (log.f64 (log.f64 x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (log.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (log.f64 x))) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (log.f64 x)))) 2))

simplify125.0ms (4.1%)

Algorithm
egg-herbie
Rules
1140×fma-define
894×distribute-lft-neg-in
604×unswap-sqr
530×div-sub
424×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 -1 (log.f64 (/.f64 1 x))) (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x)))))
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(fma.f64 1 (log.f64 (/.f64 x (log.f64 x))) (fma.f64 (neg.f64 (log.f64 (log.f64 x))) 1 (log.f64 (log.f64 x))))
(fma.f64 1 (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))) 2) (log.f64 (log.f64 x))))
(fma.f64 1 (log.f64 (/.f64 x (log.f64 x))) (+.f64 (neg.f64 (log.f64 (log.f64 x))) (log.f64 (log.f64 x))))
(fma.f64 1 (neg.f64 (log.f64 (log.f64 x))) (log.f64 x))
(fma.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (neg.f64 (log.f64 (log.f64 x))))
(fma.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (neg.f64 (log.f64 (log.f64 x))) 1))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (neg.f64 (log.f64 (log.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (*.f64 (neg.f64 (log.f64 (log.f64 x))) 1))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2) (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)))) 2) (fma.f64 (neg.f64 (log.f64 (log.f64 x))) 1 (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)))) 2) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (log.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2) (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)))) 2) (+.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)))) 2) (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (fma.f64 (neg.f64 (log.f64 (log.f64 x))) 1 (log.f64 (log.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2) (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))) 2) (log.f64 (log.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2) (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))) 1))
(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))) 1 (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))) 2) (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) 3) (pow.f64 (log.f64 (log.f64 x)) 3)) (/.f64 1 (fma.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 x) 2))) (fma.f64 (neg.f64 (log.f64 (log.f64 x))) 1 (log.f64 (log.f64 x))))
(fma.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3)) (/.f64 1 (fma.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 x) 2))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (log.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2) (log.f64 (log.f64 x))))
(fma.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3)) (/.f64 1 (fma.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 x) 2))) (+.f64 (neg.f64 (log.f64 (log.f64 x))) (log.f64 (log.f64 x))))
(fma.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (log.f64 x)) 2)) (/.f64 1 (log.f64 (*.f64 x (log.f64 x)))) (fma.f64 (neg.f64 (log.f64 (log.f64 x))) 1 (log.f64 (log.f64 x))))
(fma.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (log.f64 x)) 2)) (/.f64 1 (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))) 2) (log.f64 (log.f64 x))))
(fma.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (log.f64 x)) 2)) (/.f64 1 (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)))) 2) (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 -1 (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))) 1 (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))) 2) (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))) 2)) (cbrt.f64 (log.f64 (log.f64 x))) (log.f64 x))
(+.f64 (log.f64 (log.f64 x)) 0)
(+.f64 0 (log.f64 (log.f64 x)))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (log.f64 x)))) (log.f64 (cbrt.f64 (log.f64 x))))
(+.f64 (log.f64 (cbrt.f64 (log.f64 x))) (*.f64 2 (log.f64 (cbrt.f64 (log.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (log.f64 x))) (log.f64 (sqrt.f64 (log.f64 x))))
(-.f64 (+.f64 1 (log.f64 (log.f64 x))) 1)
(*.f64 (log.f64 (log.f64 x)) 1)
(*.f64 (log.f64 (log.f64 x)) (log.f64 (E.f64)))
(*.f64 1 (log.f64 (log.f64 x)))
(*.f64 (cbrt.f64 (log.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2) (cbrt.f64 (log.f64 (log.f64 x))))
(*.f64 (sqrt.f64 (log.f64 (log.f64 x))) (sqrt.f64 (log.f64 (log.f64 x))))
(*.f64 3 (log.f64 (cbrt.f64 (log.f64 x))))
(*.f64 2 (log.f64 (sqrt.f64 (log.f64 x))))
(*.f64 1/3 (*.f64 (log.f64 (log.f64 x)) 3))
(*.f64 (pow.f64 1 1/3) (log.f64 (log.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (log.f64 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (log.f64 x)))) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (log.f64 x)))) 2) 3) (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)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log.f64 (log.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (log.f64 (log.f64 x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (log.f64 (log.f64 x)))))
(pow.f64 (log.f64 (log.f64 x)) 1)
(pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 3)
(pow.f64 (pow.f64 (log.f64 (log.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (log.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (log.f64 x))) 2)
(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)))) 2)) (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)) 2))
(cbrt.f64 (pow.f64 (log.f64 (log.f64 x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (log.f64 x))))
(log1p.f64 (-.f64 (log.f64 x) 1))
(exp.f64 (log.f64 (log.f64 (log.f64 x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (log.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (log.f64 x))) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (log.f64 x)))) 2))
Outputs
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (*.f64 -1 (log.f64 (/.f64 1 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 -1 (log.f64 (/.f64 1 x))) (log.f64 (*.f64 -1 (log.f64 (/.f64 1 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 -1 (log.f64 (/.f64 1 x))) (log.f64 (*.f64 -1 (log.f64 (/.f64 1 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 -1 (log.f64 (/.f64 1 x))) (log.f64 (*.f64 -1 (log.f64 (/.f64 1 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 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (log.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
(+.f64 (log.f64 -1) (-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))))))
(-.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (log.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (log.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
(+.f64 (log.f64 -1) (-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))))))
(-.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (log.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (log.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
(+.f64 (log.f64 -1) (-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))))))
(-.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (log.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (log.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
(+.f64 (log.f64 -1) (-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))))))
(-.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (log.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
(log.f64 (*.f64 -1 (log.f64 (/.f64 1 x))))
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(log.f64 (*.f64 -1 (log.f64 (/.f64 1 x))))
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(log.f64 (*.f64 -1 (log.f64 (/.f64 1 x))))
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(log.f64 (*.f64 -1 (log.f64 (/.f64 1 x))))
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(log.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(log.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))))
(log.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(log.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(log.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))))
(log.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(log.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(log.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))))
(log.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(log.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(log.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))))
(log.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 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 (log.f64 x) (*.f64 (neg.f64 (log.f64 (log.f64 x))) 1))
(-.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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(+.f64 (log.f64 (/.f64 x (log.f64 x))) (fma.f64 -1 (log.f64 (log.f64 x)) (log.f64 (log.f64 x))))
(+.f64 (log.f64 (/.f64 x (log.f64 x))) (*.f64 (log.f64 (log.f64 x)) 0))
(log.f64 (/.f64 x (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))) 2) (log.f64 (log.f64 x))))
(+.f64 (log.f64 (/.f64 x (log.f64 x))) (fma.f64 -1 (log.f64 (log.f64 x)) (log.f64 (log.f64 x))))
(+.f64 (log.f64 (/.f64 x (log.f64 x))) (*.f64 (log.f64 (log.f64 x)) 0))
(log.f64 (/.f64 x (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 -1 (log.f64 (log.f64 x)) (log.f64 (log.f64 x))))
(+.f64 (log.f64 (/.f64 x (log.f64 x))) (*.f64 (log.f64 (log.f64 x)) 0))
(log.f64 (/.f64 x (log.f64 x)))
(+.f64 (log.f64 (/.f64 x (log.f64 x))) (fma.f64 -1 (log.f64 (log.f64 x)) (log.f64 (log.f64 x))))
(+.f64 (log.f64 (/.f64 x (log.f64 x))) (*.f64 (log.f64 (log.f64 x)) 0))
(log.f64 (/.f64 x (log.f64 x)))
(+.f64 (log.f64 (/.f64 x (log.f64 x))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2)) (cbrt.f64 (log.f64 (log.f64 x))) (log.f64 (log.f64 x))))
(+.f64 (log.f64 (/.f64 x (log.f64 x))) (fma.f64 -1 (log.f64 (log.f64 x)) (log.f64 (log.f64 x))))
(+.f64 (log.f64 (/.f64 x (log.f64 x))) (*.f64 (log.f64 (log.f64 x)) 0))
(log.f64 (/.f64 x (log.f64 x)))
(+.f64 (neg.f64 (log.f64 (log.f64 x))) (log.f64 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 0 (log.f64 (/.f64 x (log.f64 x))))
(+.f64 (log.f64 (/.f64 x (log.f64 x))) (fma.f64 -1 (log.f64 (log.f64 x)) (log.f64 (log.f64 x))))
(+.f64 (log.f64 (/.f64 x (log.f64 x))) (*.f64 (log.f64 (log.f64 x)) 0))
(log.f64 (/.f64 x (log.f64 x)))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 x))) (log.f64 (/.f64 (cbrt.f64 x) (log.f64 x))))
(fma.f64 2 (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))))
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(fma.f64 (neg.f64 (sqrt.f64 (log.f64 (log.f64 x)))) (sqrt.f64 (log.f64 (log.f64 x))) (log.f64 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)))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (log.f64 x)))) 2) (cbrt.f64 (neg.f64 (log.f64 (log.f64 x)))) (log.f64 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)))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 (log.f64 x)))) (sqrt.f64 (neg.f64 (log.f64 (log.f64 x)))) (log.f64 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)))
(fma.f64 -1 (log.f64 (log.f64 x)) (log.f64 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)))
(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))) 1 (log.f64 (log.f64 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)))
(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))) 2) (log.f64 (log.f64 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)))
(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))))
(-.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)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2)) (cbrt.f64 (log.f64 (log.f64 x))) (log.f64 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 (log.f64 (log.f64 x)) 0)
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(+.f64 0 (log.f64 (log.f64 x)))
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (log.f64 x)))) (log.f64 (cbrt.f64 (log.f64 x))))
(*.f64 3 (log.f64 (cbrt.f64 (log.f64 x))))
(+.f64 (log.f64 (cbrt.f64 (log.f64 x))) (*.f64 2 (log.f64 (cbrt.f64 (log.f64 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (log.f64 x))))
(+.f64 (log.f64 (sqrt.f64 (log.f64 x))) (log.f64 (sqrt.f64 (log.f64 x))))
(*.f64 2 (log.f64 (sqrt.f64 (log.f64 x))))
(-.f64 (+.f64 1 (log.f64 (log.f64 x))) 1)
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(*.f64 (log.f64 (log.f64 x)) 1)
(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 1 (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))) 2))
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2) (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 3 (log.f64 (cbrt.f64 (log.f64 x))))
(*.f64 2 (log.f64 (sqrt.f64 (log.f64 x))))
(*.f64 1/3 (*.f64 (log.f64 (log.f64 x)) 3))
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(*.f64 (pow.f64 1 1/3) (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)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (log.f64 x)))) 3))
(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)))) 2) 3) (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)))) 2) 1/3) (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)))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (log.f64 x)))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (log.f64 x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 8)))
(*.f64 (pow.f64 (pow.f64 (log.f64 (log.f64 x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (log.f64 (log.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (log.f64 x)) 5/2)) (cbrt.f64 (sqrt.f64 (log.f64 (log.f64 x)))))
(pow.f64 (log.f64 (log.f64 x)) 1)
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 3)
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(pow.f64 (pow.f64 (log.f64 (log.f64 x)) 2) 1/2)
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(pow.f64 (pow.f64 (log.f64 (log.f64 x)) 3) 1/3)
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(pow.f64 (sqrt.f64 (log.f64 (log.f64 x))) 2)
(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)))) 2)) (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)) 2))
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(cbrt.f64 (pow.f64 (log.f64 (log.f64 x)) 3))
(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) 1))
(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)))) 3))
(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))) 3) 1/3))
(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)))) 2))
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))

eval37.0ms (1.2%)

Compiler

Compiled 2660 to 896 computations (66.3% saved)

prune21.0ms (0.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1742176
Fresh000
Picked101
Done000
Total1752177
Accuracy
100.0%
Counts
177 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(-.f64 (log.f64 x) (*.f64 1/3 (*.f64 (log.f64 (log.f64 x)) 3)))
100.0%
(log.f64 (/.f64 x (log.f64 x)))
Compiler

Compiled 17 to 12 computations (29.4% saved)

localize78.0ms (2.6%)

Localize:

Found 5 expressions with local error:

NewAccuracyProgram
99.9%
(log.f64 (log.f64 x))
99.6%
(-.f64 (log.f64 x) (*.f64 1/3 (*.f64 (log.f64 (log.f64 x)) 3)))
99.6%
(*.f64 (log.f64 (log.f64 x)) 3)
99.4%
(*.f64 1/3 (*.f64 (log.f64 (log.f64 x)) 3))
99.7%
(/.f64 x (log.f64 x))
Compiler

Compiled 44 to 19 computations (56.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
Operation ival-log, time spent: 13.0ms, 47.0% of total-time
Operation ival-mult, time spent: 10.0ms, 36.0% of total-time
Operation ival-div, time spent: 2.0ms, 7.0% of total-time
Operation ival-sub, time spent: 1.0ms, 4.0% of total-time
Operation const, time spent: 1.0ms, 4.0% of total-time

series20.0ms (0.7%)

Counts
4 → 44
Calls
Call 1
Inputs
#<alt (/.f64 x (log.f64 x))>
#<alt (*.f64 1/3 (*.f64 (log.f64 (log.f64 x)) 3))>
#<alt (*.f64 (log.f64 (log.f64 x)) 3)>
#<alt (-.f64 (log.f64 x) (*.f64 1/3 (*.f64 (log.f64 (log.f64 x)) 3)))>
Outputs
#<alt (*.f64 -1 (/.f64 x (log.f64 (/.f64 1 x))))>
#<alt (*.f64 -1 (/.f64 x (log.f64 (/.f64 1 x))))>
#<alt (*.f64 -1 (/.f64 x (log.f64 (/.f64 1 x))))>
#<alt (*.f64 -1 (/.f64 x (log.f64 (/.f64 1 x))))>
#<alt (/.f64 x (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))>
#<alt (/.f64 x (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))>
#<alt (/.f64 x (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))>
#<alt (/.f64 x (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))>
#<alt (log.f64 (log.f64 x))>
#<alt (log.f64 (log.f64 x))>
#<alt (log.f64 (log.f64 x))>
#<alt (log.f64 (log.f64 x))>
#<alt (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x))))>
#<alt (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x))))>
#<alt (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x))))>
#<alt (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x))))>
#<alt (log.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))>
#<alt (log.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))>
#<alt (log.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))>
#<alt (log.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))>
#<alt (*.f64 3 (log.f64 (log.f64 x)))>
#<alt (*.f64 3 (log.f64 (log.f64 x)))>
#<alt (*.f64 3 (log.f64 (log.f64 x)))>
#<alt (*.f64 3 (log.f64 (log.f64 x)))>
#<alt (*.f64 3 (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x)))))>
#<alt (*.f64 3 (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x)))))>
#<alt (*.f64 3 (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x)))))>
#<alt (*.f64 3 (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x)))))>
#<alt (*.f64 3 (log.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))>
#<alt (*.f64 3 (log.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))>
#<alt (*.f64 3 (log.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))>
#<alt (*.f64 3 (log.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))>
#<alt (-.f64 (log.f64 x) (log.f64 (log.f64 x)))>
#<alt (-.f64 (log.f64 x) (log.f64 (log.f64 x)))>
#<alt (-.f64 (log.f64 x) (log.f64 (log.f64 x)))>
#<alt (-.f64 (log.f64 x) (log.f64 (log.f64 x)))>
#<alt (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x)))))>
#<alt (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x)))))>
#<alt (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x)))))>
#<alt (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x)))))>
#<alt (-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (log.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))>
#<alt (-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (log.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))>
#<alt (-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (log.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))>
#<alt (-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (log.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))>
Calls

12 calls:

TimeVariablePointExpression
8.0ms
x
@inf
(/ x (log x))
7.0ms
x
@-inf
(/ x (log x))
1.0ms
x
@0
(/ x (log x))
0.0ms
x
@-inf
(* (log (log x)) 3)
0.0ms
x
@inf
(* (log (log x)) 3)

rewrite128.0ms (4.2%)

Algorithm
batch-egg-rewrite
Rules
1532×prod-diff
814×log-prod
733×log1p-expm1-u
733×expm1-log1p-u
504×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01496
116268
2236868
Stop Event
node limit
Counts
4 → 223
Calls
Call 1
Inputs
(/.f64 x (log.f64 x))
(*.f64 1/3 (*.f64 (log.f64 (log.f64 x)) 3))
(*.f64 (log.f64 (log.f64 x)) 3)
(-.f64 (log.f64 x) (*.f64 1/3 (*.f64 (log.f64 (log.f64 x)) 3)))
Outputs
(+.f64 0 (/.f64 x (log.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 x (log.f64 x)))) (cbrt.f64 (exp.f64 (/.f64 x (log.f64 x)))))) (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 (exp.f64 (log1p.f64 (/.f64 x (log.f64 x)))) 1)
(*.f64 x (/.f64 1 (log.f64 x)))
(*.f64 (/.f64 x (log.f64 x)) 1)
(*.f64 1 (/.f64 x (log.f64 x)))
(*.f64 (cbrt.f64 (/.f64 x (log.f64 x))) (pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 2) (cbrt.f64 (/.f64 x (log.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (log.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (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 1 (log.f64 x))))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (log.f64 x))))
(*.f64 (/.f64 1 (log.f64 x)) x)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (/.f64 x (cbrt.f64 (log.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 x))) (/.f64 x (sqrt.f64 (log.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (log.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (/.f64 x (log.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (log.f64 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (log.f64 x))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (log.f64 x)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (log.f64 x))))
(pow.f64 (/.f64 x (log.f64 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 x (log.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 x (log.f64 x))) 2)
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(fma.f64 (*.f64 -1/3 (log.f64 (log.f64 x))) 3 (log.f64 x))
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(fma.f64 (*.f64 -1/3 (sqrt.f64 (*.f64 3 (log.f64 (log.f64 x))))) (sqrt.f64 (*.f64 3 (log.f64 (log.f64 x)))) (log.f64 x))

simplify211.0ms (7%)

Algorithm
egg-herbie
Rules
958×cube-prod
826×times-frac
560×fma-neg
550×distribute-lft-in
512×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04789943
19918719
223797496
374497496
Stop Event
node limit
Counts
267 → 274
Calls
Call 1
Inputs
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(*.f64 -1 (/.f64 x (log.f64 (/.f64 1 x))))
(*.f64 -1 (/.f64 x (log.f64 (/.f64 1 x))))
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(*.f64 (log.f64 (/.f64 x (log.f64 x))) 1)
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(*.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 1 (/.f64 (fma.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 x) 2)) (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3))))
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(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (log.f64 x)) 2))) (neg.f64 (log.f64 (*.f64 x (log.f64 x)))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (neg.f64 (log.f64 (log.f64 x))) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 (*.f64 (neg.f64 (log.f64 (log.f64 x))) (neg.f64 (log.f64 (log.f64 x)))) (*.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (*.f64 (neg.f64 (log.f64 (log.f64 x))) (neg.f64 (log.f64 (log.f64 x))))) (log.f64 (/.f64 x (/.f64 1 (log.f64 x)))))
(pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1)
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(pow.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 3) 1/3)
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(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (neg.f64 (log.f64 (log.f64 x))))
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(fma.f64 (neg.f64 (*.f64 1/3 (log.f64 (log.f64 x)))) 3 (log.f64 x))
(fma.f64 (*.f64 -1/3 (log.f64 (log.f64 x))) 3 (log.f64 x))
(fma.f64 (*.f64 -1/3 (pow.f64 (cbrt.f64 (*.f64 3 (log.f64 (log.f64 x)))) 2)) (cbrt.f64 (*.f64 3 (log.f64 (log.f64 x)))) (log.f64 x))
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Outputs
(*.f64 -1 (/.f64 x (log.f64 (/.f64 1 x))))
(/.f64 x (neg.f64 (neg.f64 (log.f64 x))))
(/.f64 x (log.f64 x))
(*.f64 -1 (/.f64 x (log.f64 (/.f64 1 x))))
(/.f64 x (neg.f64 (neg.f64 (log.f64 x))))
(/.f64 x (log.f64 x))
(*.f64 -1 (/.f64 x (log.f64 (/.f64 1 x))))
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(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (log.f64 x)) 2)) (log.f64 (*.f64 x (log.f64 x))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (log.f64 x)) 2)) (log.f64 (*.f64 x (log.f64 x))))
(fma.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (log.f64 x)) 2)) (/.f64 1 (log.f64 (*.f64 x (log.f64 x)))) (fma.f64 (neg.f64 (log.f64 (log.f64 x))) 1 (log.f64 (log.f64 x))))
(*.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (log.f64 x)) 2)) (/.f64 1 (log.f64 (*.f64 x (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (log.f64 x)) 2)) (log.f64 (*.f64 x (log.f64 x))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (log.f64 x)) 2)) (log.f64 (*.f64 x (log.f64 x))))
(fma.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (log.f64 x)) 2)) (/.f64 1 (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))) 2) (log.f64 (log.f64 x))))
(*.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (log.f64 x)) 2)) (/.f64 1 (log.f64 (*.f64 x (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (log.f64 x)) 2)) (log.f64 (*.f64 x (log.f64 x))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (log.f64 x)) 2)) (log.f64 (*.f64 x (log.f64 x))))
(fma.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (log.f64 x)) 2)) (/.f64 1 (log.f64 (*.f64 x (log.f64 x)))) (fma.f64 -3 (*.f64 1/3 (log.f64 (log.f64 x))) (log.f64 (log.f64 x))))
(*.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (log.f64 x)) 2)) (/.f64 1 (log.f64 (*.f64 x (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (log.f64 x)) 2)) (log.f64 (*.f64 x (log.f64 x))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (log.f64 x)) 2)) (log.f64 (*.f64 x (log.f64 x))))
(fma.f64 -1/3 (*.f64 3 (log.f64 (log.f64 x))) (log.f64 x))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(+.f64 (log.f64 x) (log.f64 (log.f64 x)))
(fma.f64 (*.f64 1/3 (log.f64 (log.f64 x))) -3 (log.f64 x))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(+.f64 (log.f64 x) (log.f64 (log.f64 x)))
(fma.f64 (neg.f64 (*.f64 3 (log.f64 (log.f64 x)))) 1/3 (log.f64 x))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(+.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))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(+.f64 (log.f64 x) (log.f64 (log.f64 x)))
(fma.f64 -1 (log.f64 (log.f64 x)) (log.f64 x))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(+.f64 (log.f64 x) (log.f64 (log.f64 x)))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (log.f64 (log.f64 x)))) (cbrt.f64 (neg.f64 (log.f64 (log.f64 x))))) (cbrt.f64 (neg.f64 (log.f64 (log.f64 x)))) (log.f64 x))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(+.f64 (log.f64 x) (log.f64 (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))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(+.f64 (log.f64 x) (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))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(+.f64 (log.f64 x) (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 (log.f64 (log.f64 x))) 1 (log.f64 (log.f64 x))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(+.f64 (log.f64 x) (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))) 2) (log.f64 (log.f64 x))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(+.f64 (log.f64 x) (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 -3 (*.f64 1/3 (log.f64 (log.f64 x))) (log.f64 (log.f64 x))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(+.f64 (log.f64 x) (log.f64 (log.f64 x)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2)) (cbrt.f64 (log.f64 (log.f64 x))) (log.f64 x))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(+.f64 (log.f64 x) (log.f64 (log.f64 x)))
(fma.f64 (neg.f64 (*.f64 1/3 (log.f64 (log.f64 x)))) 3 (log.f64 x))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(+.f64 (log.f64 x) (log.f64 (log.f64 x)))
(fma.f64 (*.f64 -1/3 (log.f64 (log.f64 x))) 3 (log.f64 x))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(+.f64 (log.f64 x) (log.f64 (log.f64 x)))
(fma.f64 (*.f64 -1/3 (pow.f64 (cbrt.f64 (*.f64 3 (log.f64 (log.f64 x)))) 2)) (cbrt.f64 (*.f64 3 (log.f64 (log.f64 x)))) (log.f64 x))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(+.f64 (log.f64 x) (log.f64 (log.f64 x)))
(fma.f64 (*.f64 -1/3 (sqrt.f64 (*.f64 3 (log.f64 (log.f64 x))))) (sqrt.f64 (*.f64 3 (log.f64 (log.f64 x)))) (log.f64 x))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(+.f64 (log.f64 x) (log.f64 (log.f64 x)))

eval87.0ms (2.9%)

Compiler

Compiled 5482 to 2510 computations (54.2% saved)

prune43.0ms (1.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New3191320
Fresh000
Picked112
Done000
Total3202322
Accuracy
100.0%
Counts
322 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(log.f64 (/.f64 x (log.f64 x)))
100.0%
(log.f64 (*.f64 (/.f64 1 (log.f64 x)) x))
Compiler

Compiled 14 to 10 computations (28.6% saved)

localize53.0ms (1.7%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
99.6%
(*.f64 (/.f64 1 (log.f64 x)) x)
99.6%
(/.f64 1 (log.f64 x))
Compiler

Compiled 23 to 13 computations (43.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
Operation ival-div, time spent: 9.0ms, 40.0% of total-time
Operation ival-log, time spent: 9.0ms, 40.0% of total-time
Operation ival-mult, time spent: 4.0ms, 18.0% of total-time
Operation const, time spent: 1.0ms, 4.0% of total-time

series6.0ms (0.2%)

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

6 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(/ 1 (log x))
0.0ms
x
@0
(/ 1 (log x))
0.0ms
x
@inf
(/ 1 (log x))
0.0ms
x
@-inf
(* (/ 1 (log x)) x)
0.0ms
x
@inf
(* (/ 1 (log x)) x)

rewrite70.0ms (2.3%)

Algorithm
batch-egg-rewrite
Rules
826×unpow-prod-down
430×log-prod
414×cbrt-prod
362×log1p-expm1-u
362×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01031
19331
2106431
Stop Event
node limit
Counts
2 → 77
Calls
Call 1
Inputs
(/.f64 1 (log.f64 x))
(*.f64 (/.f64 1 (log.f64 x)) x)
Outputs
(+.f64 0 (/.f64 1 (log.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (log.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (log.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (log.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (log.f64 x))))))
(-.f64 (+.f64 1 (/.f64 1 (log.f64 x))) 1)
(*.f64 1 (/.f64 1 (log.f64 x)))
(*.f64 (/.f64 1 (log.f64 x)) 1)
(*.f64 (/.f64 1 (log.f64 x)) (log.f64 (E.f64)))
(*.f64 -1 (/.f64 1 (neg.f64 (log.f64 x))))
(*.f64 (/.f64 1 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) -2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) -2) (/.f64 1 (cbrt.f64 (log.f64 x))))
(*.f64 (pow.f64 (log.f64 x) -1/2) (pow.f64 (log.f64 x) -1/2))
(*.f64 (pow.f64 (log.f64 x) -1/2) (pow.f64 (/.f64 (sqrt.f64 (log.f64 x)) 1) -1))
(*.f64 (pow.f64 1 1/3) (/.f64 1 (log.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (log.f64 x)))) 3) (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (log.f64 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log.f64 x) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log.f64 x) -3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 x) -2) (pow.f64 (cbrt.f64 (log.f64 x)) -2)) 1/3) (/.f64 1 (cbrt.f64 (cbrt.f64 (log.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (log.f64 x) -5/2) 1/3) (cbrt.f64 (pow.f64 (log.f64 x) -1/2)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (log.f64 x) -3))) (cbrt.f64 (sqrt.f64 (pow.f64 (log.f64 x) -3))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (log.f64 x) -2) (pow.f64 (cbrt.f64 (log.f64 x)) -2))) (/.f64 1 (cbrt.f64 (cbrt.f64 (log.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 x) -5/2)) (cbrt.f64 (pow.f64 (log.f64 x) -1/2)))
(pow.f64 (log.f64 x) -1)
(pow.f64 (/.f64 1 (log.f64 x)) 1)
(pow.f64 (cbrt.f64 (log.f64 x)) -3)
(pow.f64 (/.f64 1 (cbrt.f64 (log.f64 x))) 3)
(pow.f64 (pow.f64 (log.f64 x) 2) -1/2)
(pow.f64 (pow.f64 (log.f64 x) 3) -1/3)
(pow.f64 (pow.f64 (log.f64 x) -2) 1/2)
(pow.f64 (pow.f64 (log.f64 x) -3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 x)) -2)
(pow.f64 (pow.f64 (log.f64 x) -1/2) 2)
(pow.f64 (E.f64) (neg.f64 (log.f64 (log.f64 x))))
(pow.f64 (neg.f64 (neg.f64 (log.f64 x))) -1)
(pow.f64 (exp.f64 -1) (log.f64 (log.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (log.f64 x)))) 2)) (cbrt.f64 (neg.f64 (log.f64 (log.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (log.f64 x))))) (sqrt.f64 (neg.f64 (log.f64 (log.f64 x)))))
(neg.f64 (/.f64 -1 (log.f64 x)))
(sqrt.f64 (pow.f64 (log.f64 x) -2))
(log.f64 (exp.f64 (/.f64 1 (log.f64 x))))
(cbrt.f64 (pow.f64 (log.f64 x) -3))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 x) -3/2) (pow.f64 (log.f64 x) 3/2)))
(expm1.f64 (log1p.f64 (/.f64 1 (log.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 1 (log.f64 x))))
(exp.f64 (neg.f64 (log.f64 (log.f64 x))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (log.f64 x)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 x) -3)) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 x) -1/2)) 2))
(+.f64 0 (/.f64 x (log.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (log.f64 x)))) 2)) (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 1 (/.f64 x (log.f64 x))) 1)
(/.f64 1 (/.f64 (log.f64 x) x))
(/.f64 x (log.f64 x))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 (/.f64 x (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
(/.f64 (*.f64 x -1) (neg.f64 (log.f64 x)))
(/.f64 (*.f64 -1 x) (neg.f64 (log.f64 x)))
(/.f64 (/.f64 x 1) (log.f64 x))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 x (log.f64 x)) 2) x)) (cbrt.f64 (log.f64 x)))
(pow.f64 (/.f64 x (log.f64 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 x (log.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 x (log.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 x (log.f64 x))) 2)
(pow.f64 (E.f64) (log.f64 (/.f64 x (log.f64 x))))
(pow.f64 (/.f64 (log.f64 x) x) -1)
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 2))) (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)))))
(sqrt.f64 (pow.f64 (/.f64 x (log.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 x (log.f64 x))))
(cbrt.f64 (pow.f64 (/.f64 x (log.f64 x)) 3))
(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)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 x (log.f64 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x)))) 2))

simplify68.0ms (2.3%)

Algorithm
egg-herbie
Rules
774×fma-neg
706×associate-/l/
564×distribute-lft-neg-out
482×associate-+l+
472×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02084294969585
13544294969541
27274294969532
328654294969532
Stop Event
node limit
Counts
97 → 94
Calls
Call 1
Inputs
(/.f64 -1 (log.f64 (/.f64 1 x)))
(/.f64 -1 (log.f64 (/.f64 1 x)))
(/.f64 -1 (log.f64 (/.f64 1 x)))
(/.f64 -1 (log.f64 (/.f64 1 x)))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(/.f64 x (log.f64 x))
(/.f64 x (log.f64 x))
(/.f64 x (log.f64 x))
(/.f64 x (log.f64 x))
(*.f64 -1 (/.f64 x (log.f64 (/.f64 1 x))))
(*.f64 -1 (/.f64 x (log.f64 (/.f64 1 x))))
(*.f64 -1 (/.f64 x (log.f64 (/.f64 1 x))))
(*.f64 -1 (/.f64 x (log.f64 (/.f64 1 x))))
(/.f64 x (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(/.f64 x (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(/.f64 x (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(/.f64 x (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(+.f64 0 (/.f64 1 (log.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (log.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (log.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (log.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (log.f64 x))))))
(-.f64 (+.f64 1 (/.f64 1 (log.f64 x))) 1)
(*.f64 1 (/.f64 1 (log.f64 x)))
(*.f64 (/.f64 1 (log.f64 x)) 1)
(*.f64 (/.f64 1 (log.f64 x)) (log.f64 (E.f64)))
(*.f64 -1 (/.f64 1 (neg.f64 (log.f64 x))))
(*.f64 (/.f64 1 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) -2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) -2) (/.f64 1 (cbrt.f64 (log.f64 x))))
(*.f64 (pow.f64 (log.f64 x) -1/2) (pow.f64 (log.f64 x) -1/2))
(*.f64 (pow.f64 (log.f64 x) -1/2) (pow.f64 (/.f64 (sqrt.f64 (log.f64 x)) 1) -1))
(*.f64 (pow.f64 1 1/3) (/.f64 1 (log.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (log.f64 x)))) 3) (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (log.f64 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log.f64 x) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log.f64 x) -3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 x) -2) (pow.f64 (cbrt.f64 (log.f64 x)) -2)) 1/3) (/.f64 1 (cbrt.f64 (cbrt.f64 (log.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (log.f64 x) -5/2) 1/3) (cbrt.f64 (pow.f64 (log.f64 x) -1/2)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (log.f64 x) -3))) (cbrt.f64 (sqrt.f64 (pow.f64 (log.f64 x) -3))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (log.f64 x) -2) (pow.f64 (cbrt.f64 (log.f64 x)) -2))) (/.f64 1 (cbrt.f64 (cbrt.f64 (log.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 x) -5/2)) (cbrt.f64 (pow.f64 (log.f64 x) -1/2)))
(pow.f64 (log.f64 x) -1)
(pow.f64 (/.f64 1 (log.f64 x)) 1)
(pow.f64 (cbrt.f64 (log.f64 x)) -3)
(pow.f64 (/.f64 1 (cbrt.f64 (log.f64 x))) 3)
(pow.f64 (pow.f64 (log.f64 x) 2) -1/2)
(pow.f64 (pow.f64 (log.f64 x) 3) -1/3)
(pow.f64 (pow.f64 (log.f64 x) -2) 1/2)
(pow.f64 (pow.f64 (log.f64 x) -3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 x)) -2)
(pow.f64 (pow.f64 (log.f64 x) -1/2) 2)
(pow.f64 (E.f64) (neg.f64 (log.f64 (log.f64 x))))
(pow.f64 (neg.f64 (neg.f64 (log.f64 x))) -1)
(pow.f64 (exp.f64 -1) (log.f64 (log.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (log.f64 x)))) 2)) (cbrt.f64 (neg.f64 (log.f64 (log.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (log.f64 x))))) (sqrt.f64 (neg.f64 (log.f64 (log.f64 x)))))
(neg.f64 (/.f64 -1 (log.f64 x)))
(sqrt.f64 (pow.f64 (log.f64 x) -2))
(log.f64 (exp.f64 (/.f64 1 (log.f64 x))))
(cbrt.f64 (pow.f64 (log.f64 x) -3))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 x) -3/2) (pow.f64 (log.f64 x) 3/2)))
(expm1.f64 (log1p.f64 (/.f64 1 (log.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 1 (log.f64 x))))
(exp.f64 (neg.f64 (log.f64 (log.f64 x))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (log.f64 x)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 x) -3)) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 x) -1/2)) 2))
(+.f64 0 (/.f64 x (log.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (log.f64 x)))) 2)) (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 1 (/.f64 x (log.f64 x))) 1)
(/.f64 1 (/.f64 (log.f64 x) x))
(/.f64 x (log.f64 x))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 (/.f64 x (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
(/.f64 (*.f64 x -1) (neg.f64 (log.f64 x)))
(/.f64 (*.f64 -1 x) (neg.f64 (log.f64 x)))
(/.f64 (/.f64 x 1) (log.f64 x))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 x (log.f64 x)) 2) x)) (cbrt.f64 (log.f64 x)))
(pow.f64 (/.f64 x (log.f64 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 x (log.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 x (log.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 x (log.f64 x))) 2)
(pow.f64 (E.f64) (log.f64 (/.f64 x (log.f64 x))))
(pow.f64 (/.f64 (log.f64 x) x) -1)
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 2))) (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)))))
(sqrt.f64 (pow.f64 (/.f64 x (log.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 x (log.f64 x))))
(cbrt.f64 (pow.f64 (/.f64 x (log.f64 x)) 3))
(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)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 x (log.f64 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x)))) 2))
Outputs
(/.f64 -1 (log.f64 (/.f64 1 x)))
(/.f64 1 (log.f64 x))
(/.f64 -1 (log.f64 (/.f64 1 x)))
(/.f64 1 (log.f64 x))
(/.f64 -1 (log.f64 (/.f64 1 x)))
(/.f64 1 (log.f64 x))
(/.f64 -1 (log.f64 (/.f64 1 x)))
(/.f64 1 (log.f64 x))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(/.f64 1 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))))
(/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(/.f64 1 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))))
(/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(/.f64 1 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))))
(/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(/.f64 1 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))))
(/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(/.f64 x (log.f64 x))
(/.f64 x (log.f64 x))
(/.f64 x (log.f64 x))
(/.f64 x (log.f64 x))
(*.f64 -1 (/.f64 x (log.f64 (/.f64 1 x))))
(/.f64 x (log.f64 x))
(*.f64 -1 (/.f64 x (log.f64 (/.f64 1 x))))
(/.f64 x (log.f64 x))
(*.f64 -1 (/.f64 x (log.f64 (/.f64 1 x))))
(/.f64 x (log.f64 x))
(*.f64 -1 (/.f64 x (log.f64 (/.f64 1 x))))
(/.f64 x (log.f64 x))
(/.f64 x (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(/.f64 x (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))))
(/.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(/.f64 x (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(/.f64 x (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))))
(/.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(/.f64 x (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(/.f64 x (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))))
(/.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(/.f64 x (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(/.f64 x (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))))
(/.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(+.f64 0 (/.f64 1 (log.f64 x)))
(/.f64 1 (log.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (log.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (log.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (log.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (log.f64 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (log.f64 x))))))
(-.f64 (+.f64 1 (/.f64 1 (log.f64 x))) 1)
(/.f64 1 (log.f64 x))
(*.f64 1 (/.f64 1 (log.f64 x)))
(/.f64 1 (log.f64 x))
(*.f64 (/.f64 1 (log.f64 x)) 1)
(/.f64 1 (log.f64 x))
(*.f64 (/.f64 1 (log.f64 x)) (log.f64 (E.f64)))
(/.f64 1 (log.f64 x))
(*.f64 -1 (/.f64 1 (neg.f64 (log.f64 x))))
(/.f64 1 (log.f64 x))
(*.f64 (/.f64 1 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) -2))
(/.f64 1 (log.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) -2) (/.f64 1 (cbrt.f64 (log.f64 x))))
(/.f64 1 (log.f64 x))
(*.f64 (pow.f64 (log.f64 x) -1/2) (pow.f64 (log.f64 x) -1/2))
(/.f64 1 (log.f64 x))
(*.f64 (pow.f64 (log.f64 x) -1/2) (pow.f64 (/.f64 (sqrt.f64 (log.f64 x)) 1) -1))
(*.f64 (pow.f64 (log.f64 x) -1/2) (/.f64 1 (sqrt.f64 (log.f64 x))))
(/.f64 (pow.f64 (log.f64 x) -1/2) (sqrt.f64 (log.f64 x)))
(*.f64 (pow.f64 1 1/3) (/.f64 1 (log.f64 x)))
(/.f64 1 (log.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (log.f64 x)))) 3) (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (log.f64 x)))) 3))
(/.f64 1 (log.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log.f64 x) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log.f64 x) -3)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (log.f64 x) -3))) (cbrt.f64 (sqrt.f64 (pow.f64 (log.f64 x) -3))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 x) -2) (pow.f64 (cbrt.f64 (log.f64 x)) -2)) 1/3) (/.f64 1 (cbrt.f64 (cbrt.f64 (log.f64 x)))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) -2) (pow.f64 (log.f64 x) -2))) (/.f64 1 (cbrt.f64 (cbrt.f64 (log.f64 x)))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) -2) (pow.f64 (log.f64 x) -2))) (cbrt.f64 (cbrt.f64 (log.f64 x))))
(*.f64 (pow.f64 (pow.f64 (log.f64 x) -5/2) 1/3) (cbrt.f64 (pow.f64 (log.f64 x) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 x) -5/2)) (cbrt.f64 (pow.f64 (log.f64 x) -1/2)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (log.f64 x) -3))) (cbrt.f64 (sqrt.f64 (pow.f64 (log.f64 x) -3))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (log.f64 x) -2) (pow.f64 (cbrt.f64 (log.f64 x)) -2))) (/.f64 1 (cbrt.f64 (cbrt.f64 (log.f64 x)))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) -2) (pow.f64 (log.f64 x) -2))) (/.f64 1 (cbrt.f64 (cbrt.f64 (log.f64 x)))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) -2) (pow.f64 (log.f64 x) -2))) (cbrt.f64 (cbrt.f64 (log.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 x) -5/2)) (cbrt.f64 (pow.f64 (log.f64 x) -1/2)))
(pow.f64 (log.f64 x) -1)
(/.f64 1 (log.f64 x))
(pow.f64 (/.f64 1 (log.f64 x)) 1)
(/.f64 1 (log.f64 x))
(pow.f64 (cbrt.f64 (log.f64 x)) -3)
(/.f64 1 (log.f64 x))
(pow.f64 (/.f64 1 (cbrt.f64 (log.f64 x))) 3)
(/.f64 1 (log.f64 x))
(pow.f64 (pow.f64 (log.f64 x) 2) -1/2)
(pow.f64 (pow.f64 (log.f64 x) 3) -1/3)
(pow.f64 (pow.f64 (log.f64 x) -2) 1/2)
(sqrt.f64 (pow.f64 (log.f64 x) -2))
(pow.f64 (pow.f64 (log.f64 x) -3) 1/3)
(cbrt.f64 (pow.f64 (log.f64 x) -3))
(pow.f64 (sqrt.f64 (log.f64 x)) -2)
(pow.f64 (pow.f64 (log.f64 x) -1/2) 2)
(/.f64 1 (log.f64 x))
(pow.f64 (E.f64) (neg.f64 (log.f64 (log.f64 x))))
(pow.f64 (neg.f64 (neg.f64 (log.f64 x))) -1)
(/.f64 1 (log.f64 x))
(pow.f64 (exp.f64 -1) (log.f64 (log.f64 x)))
(/.f64 1 (log.f64 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (log.f64 x)))) 2)) (cbrt.f64 (neg.f64 (log.f64 (log.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (log.f64 x))))) (sqrt.f64 (neg.f64 (log.f64 (log.f64 x)))))
(neg.f64 (/.f64 -1 (log.f64 x)))
(/.f64 1 (log.f64 x))
(sqrt.f64 (pow.f64 (log.f64 x) -2))
(log.f64 (exp.f64 (/.f64 1 (log.f64 x))))
(/.f64 1 (log.f64 x))
(cbrt.f64 (pow.f64 (log.f64 x) -3))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 x) -3/2) (pow.f64 (log.f64 x) 3/2)))
(expm1.f64 (log1p.f64 (/.f64 1 (log.f64 x))))
(/.f64 1 (log.f64 x))
(log1p.f64 (expm1.f64 (/.f64 1 (log.f64 x))))
(/.f64 1 (log.f64 x))
(exp.f64 (neg.f64 (log.f64 (log.f64 x))))
(/.f64 1 (log.f64 x))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (log.f64 x)))) 3))
(/.f64 1 (log.f64 x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 x) -3)) 1/3))
(cbrt.f64 (pow.f64 (log.f64 x) -3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 x) -1/2)) 2))
(/.f64 1 (log.f64 x))
(+.f64 0 (/.f64 x (log.f64 x)))
(/.f64 x (log.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (log.f64 x)))) 2)) (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 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (log.f64 x))))))
(-.f64 (+.f64 1 (/.f64 x (log.f64 x))) 1)
(/.f64 x (log.f64 x))
(/.f64 1 (/.f64 (log.f64 x) x))
(/.f64 x (log.f64 x))
(/.f64 x (log.f64 x))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(/.f64 (/.f64 x (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(/.f64 (*.f64 x -1) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(/.f64 (*.f64 -1 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(/.f64 (/.f64 x 1) (log.f64 x))
(/.f64 x (log.f64 x))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 x (log.f64 x)) 2) x)) (cbrt.f64 (log.f64 x)))
(/.f64 (cbrt.f64 (*.f64 x (pow.f64 (/.f64 x (log.f64 x)) 2))) (cbrt.f64 (log.f64 x)))
(/.f64 (cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 2))) (cbrt.f64 (log.f64 x)))
(pow.f64 (/.f64 x (log.f64 x)) 1)
(/.f64 x (log.f64 x))
(pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 3)
(/.f64 x (log.f64 x))
(pow.f64 (pow.f64 (/.f64 x (log.f64 x)) 2) 1/2)
(/.f64 x (log.f64 x))
(pow.f64 (pow.f64 (/.f64 x (log.f64 x)) 3) 1/3)
(/.f64 x (log.f64 x))
(pow.f64 (sqrt.f64 (/.f64 x (log.f64 x))) 2)
(/.f64 x (log.f64 x))
(pow.f64 (E.f64) (log.f64 (/.f64 x (log.f64 x))))
(/.f64 x (log.f64 x))
(pow.f64 (/.f64 (log.f64 x) x) -1)
(/.f64 x (log.f64 x))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 2))) (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)))))
(sqrt.f64 (pow.f64 (/.f64 x (log.f64 x)) 2))
(/.f64 x (log.f64 x))
(log.f64 (exp.f64 (/.f64 x (log.f64 x))))
(/.f64 x (log.f64 x))
(cbrt.f64 (pow.f64 (/.f64 x (log.f64 x)) 3))
(/.f64 x (log.f64 x))
(expm1.f64 (log1p.f64 (/.f64 x (log.f64 x))))
(/.f64 x (log.f64 x))
(log1p.f64 (expm1.f64 (/.f64 x (log.f64 x))))
(/.f64 x (log.f64 x))
(exp.f64 (log.f64 (/.f64 x (log.f64 x))))
(/.f64 x (log.f64 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (log.f64 x)))) 3))
(/.f64 x (log.f64 x))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 x (log.f64 x)))) 1/3))
(/.f64 x (log.f64 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x)))) 2))
(/.f64 x (log.f64 x))

eval28.0ms (0.9%)

Compiler

Compiled 1042 to 600 computations (42.4% saved)

prune13.0ms (0.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New94094
Fresh000
Picked011
Done011
Total94296
Accuracy
100.0%
Counts
96 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(log.f64 (/.f64 x (log.f64 x)))
100.0%
(log.f64 (*.f64 (/.f64 1 (log.f64 x)) x))
Compiler

Compiled 43 to 25 computations (41.9% saved)

regimes12.0ms (0.4%)

Counts
4 → 1
Calls
Call 1
Inputs
(log.f64 (/.f64 x (log.f64 x)))
(log.f64 (*.f64 (/.f64 1 (log.f64 x)) x))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(-.f64 (log.f64 x) (*.f64 1/3 (*.f64 (log.f64 (log.f64 x)) 3)))
Outputs
(log.f64 (*.f64 (/.f64 1 (log.f64 x)) x))
Calls

3 calls:

5.0ms
(log.f64 x)
4.0ms
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
4.0ms
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)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
Compiler

Compiled 2 to 1 computations (50% saved)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Rules
1-exp
*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01348
11948
Stop Event
done
saturated
Calls
Call 1
Inputs
(log.f64 (*.f64 (/.f64 1 (log.f64 x)) x))
(log.f64 (/.f64 x (log.f64 x)))
Outputs
(log.f64 (*.f64 (/.f64 1 (log.f64 x)) x))
(log.f64 (*.f64 x (/.f64 1 (log.f64 x))))
(log.f64 (/.f64 x (log.f64 x)))
Compiler

Compiled 14 to 10 computations (28.6% saved)

soundness380.0ms (12.6%)

Rules
1532×prod-diff
1140×fma-define
894×distribute-lft-neg-in
814×log-prod
750×unpow-prod-down
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01496
116268
2236868
03317629
16066156
215165126
354235122
0933
19133
2122933
Stop Event
node limit
node limit
node limit
Compiler

Compiled 323 to 94 computations (70.9% saved)

end0.0ms (0%)

preprocess23.0ms (0.8%)

Compiler

Compiled 40 to 24 computations (40% saved)

Profiling

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