Jmat.Real.lambertw, estimator

Time bar (total: 2.4s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze1.0ms (0.1%)

Memory
4.0MiB live, 4.0MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%50%0%0%50%0%2
50%25%25%0%0%50%0%3
66.7%25%12.5%0%0%62.5%0%4
80%25%6.2%0%0%68.7%0%5
88.9%25%3.1%0%0%71.8%0%6
94.1%25%1.6%0%0%73.4%0%7
97%25%0.8%0%0%74.2%0%8
98.5%25%0.4%0%0%74.6%0%9
99.2%25%0.2%0%0%74.8%0%10
99.6%25%0.1%0%0%74.9%0%11
99.8%25%0%0%0%74.9%0%12
Compiler

Compiled 8 to 6 computations (25% saved)

sample806.0ms (33.5%)

Memory
38.4MiB live, 1 353.3MiB allocated; 309ms collecting garbage
Samples
579.0ms8 256×0valid
1.0ms22×0invalid
Precisions
Click to see histograms. Total time spent on operations: 297.0ms
ival-log: 236.0ms (79.6% of total)
ival-sub: 48.0ms (16.2% of total)
ival-true: 7.0ms (2.4% of total)
ival-assert: 4.0ms (1.3% of total)
adjust: 2.0ms (0.7% of total)
Bogosity

explain77.0ms (3.2%)

Memory
-2.3MiB live, 151.1MiB allocated; 27ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(log.f64 (log.f64 x))
00-0-(log.f64 x)
00-0-(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
40.0ms512×0valid
Compiler

Compiled 34 to 16 computations (52.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-sub: 14.0ms (55.1% of total)
ival-log: 11.0ms (43.3% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess18.0ms (0.7%)

Memory
-21.3MiB live, 24.6MiB allocated; 11ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0617
046
076
076
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
Outputs
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
Compiler

Compiled 6 to 4 computations (33.3% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify3.0ms (0.1%)

Memory
5.2MiB live, 5.2MiB allocated; 0ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0412
0712
0712
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(log.f64 x)
x
(log.f64 (log.f64 x))
Outputs
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(log.f64 x)
x
(log.f64 (log.f64 x))

localize16.0ms (0.7%)

Memory
31.2MiB live, 31.2MiB allocated; 0ms collecting garbage
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(log.f64 x)
accuracy0.0546875
(log.f64 (log.f64 x))
accuracy0.26171875
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
Samples
12.0ms256×0valid
Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-log: 5.0ms (74.5% of total)
ival-sub: 1.0ms (14.9% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series130.0ms (5.4%)

Memory
-14.3MiB live, 214.7MiB allocated; 43ms collecting garbage
Counts
3 → 9
Calls
Call 1
Inputs
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(log.f64 x)
(log.f64 (log.f64 x))
Outputs
(- (log x) (log (log x)))
(log x)
(log (log x))
(- (* -1 (log (/ 1 x))) (log (* -1 (log (/ 1 x)))))
(* -1 (log (/ 1 x)))
(log (* -1 (log (/ 1 x))))
(- (+ (log -1) (* -1 (log (/ -1 x)))) (log (+ (log -1) (* -1 (log (/ -1 x))))))
(+ (log -1) (* -1 (log (/ -1 x))))
(log (+ (log -1) (* -1 (log (/ -1 x)))))
Calls

3 calls:

TimeVariablePointExpression
53.0ms
x
@0
((- (log x) (log (log x))) (log x) (log (log x)))
52.0ms
x
@-inf
((- (log x) (log (log x))) (log x) (log (log x)))
25.0ms
x
@inf
((- (log x) (log (log x))) (log x) (log (log x)))

simplify4.0ms (0.2%)

Memory
11.0MiB live, 11.0MiB allocated; 0ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01857
13153
24753
37053
47253
07253
Stop Event
iter limit
saturated
Counts
9 → 9
Calls
Call 1
Inputs
(- (log x) (log (log x)))
(log x)
(log (log x))
(- (* -1 (log (/ 1 x))) (log (* -1 (log (/ 1 x)))))
(* -1 (log (/ 1 x)))
(log (* -1 (log (/ 1 x))))
(- (+ (log -1) (* -1 (log (/ -1 x)))) (log (+ (log -1) (* -1 (log (/ -1 x))))))
(+ (log -1) (* -1 (log (/ -1 x))))
(log (+ (log -1) (* -1 (log (/ -1 x)))))
Outputs
(- (log x) (log (log x)))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(log x)
(log.f64 x)
(log (log x))
(log.f64 (log.f64 x))
(- (* -1 (log (/ 1 x))) (log (* -1 (log (/ 1 x)))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(* -1 (log (/ 1 x)))
(log.f64 x)
(log (* -1 (log (/ 1 x))))
(log.f64 (log.f64 x))
(- (+ (log -1) (* -1 (log (/ -1 x)))) (log (+ (log -1) (* -1 (log (/ -1 x))))))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(log (+ (log -1) (* -1 (log (/ -1 x)))))
(log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))

rewrite397.0ms (16.5%)

Memory
86.8MiB live, 399.8MiB allocated; 205ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0411
0710
12210
213010
3123210
0936210
Stop Event
iter limit
node limit
iter limit
Counts
3 → 297
Calls
Call 1
Inputs
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(log.f64 x)
(log.f64 (log.f64 x))
Outputs
(*.f64 (/.f64 (+.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 6 binary64))) (pow.f64 (*.f64 (log.f64 (log.f64 x)) (log.f64 x)) #s(literal 3 binary64))) (+.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 6 binary64))) (pow.f64 (*.f64 (log.f64 (log.f64 x)) (log.f64 x)) #s(literal 3 binary64)))) (log.f64 (*.f64 (log.f64 x) x)))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (log.f64 (*.f64 (log.f64 x) x)) (log.f64 (log.f64 x))) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (-.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 (*.f64 (log.f64 x) x)) #s(literal 2 binary64)) (fma.f64 (log.f64 (*.f64 (log.f64 x) x)) (log.f64 (log.f64 x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(*.f64 (/.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 3 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)))) (log.f64 (*.f64 (log.f64 x) x)))
(*.f64 (/.f64 (log.f64 (*.f64 x (pow.f64 (log.f64 x) #s(literal -1 binary64)))) (/.f64 (pow.f64 (log.f64 (*.f64 (log.f64 x) 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 (log.f64 (/.f64 x (pow.f64 (log.f64 x) #s(literal -1 binary64)))) (fma.f64 (log.f64 (*.f64 (log.f64 x) x)) (log.f64 (log.f64 x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(*.f64 (/.f64 (log.f64 (*.f64 x (pow.f64 (log.f64 x) #s(literal -1 binary64)))) (/.f64 (pow.f64 (log.f64 (*.f64 (log.f64 x) 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 (log.f64 (/.f64 x (pow.f64 (log.f64 x) #s(literal -1 binary64)))) (fma.f64 (log.f64 (log.f64 x)) (log.f64 (/.f64 (log.f64 x) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (log.f64 (*.f64 (log.f64 x) x)) (log.f64 (log.f64 x))) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (+.f64 (pow.f64 (*.f64 (log.f64 (*.f64 (log.f64 x) x)) (log.f64 (log.f64 x))) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64)))) (log.f64 (*.f64 (log.f64 x) x)))
(*.f64 (/.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 (*.f64 (log.f64 (*.f64 (log.f64 x) x)) (log.f64 (log.f64 x))) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64)))) (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64))) (log.f64 (*.f64 (log.f64 x) x))))
(*.f64 (/.f64 (log.f64 (*.f64 x (pow.f64 (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 4 binary64)) (pow.f64 (*.f64 (log.f64 (*.f64 (log.f64 x) x)) (log.f64 (log.f64 x))) #s(literal 2 binary64))))) (/.f64 (log.f64 (/.f64 x (pow.f64 (log.f64 x) #s(literal -1 binary64)))) (fma.f64 (log.f64 (log.f64 x)) (log.f64 (/.f64 (log.f64 x) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(*.f64 (/.f64 (log.f64 (*.f64 x (pow.f64 (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 (*.f64 (log.f64 (*.f64 (log.f64 x) x)) (log.f64 (log.f64 x))) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))))) (/.f64 (log.f64 (/.f64 x (pow.f64 (log.f64 x) #s(literal -1 binary64)))) (fma.f64 (*.f64 (log.f64 (*.f64 (log.f64 x) x)) (log.f64 (log.f64 x))) (log.f64 (/.f64 (pow.f64 (*.f64 (log.f64 x) x) (log.f64 (log.f64 x))) (pow.f64 x (log.f64 x)))) (pow.f64 (log.f64 x) #s(literal 4 binary64)))))
(*.f64 (/.f64 (log.f64 (*.f64 x (pow.f64 (log.f64 x) #s(literal -1 binary64)))) (/.f64 (pow.f64 (log.f64 (*.f64 (log.f64 x) x)) #s(literal 2 binary64)) (pow.f64 (log.f64 (*.f64 (log.f64 x) x)) #s(literal 2 binary64)))) (/.f64 (log.f64 (/.f64 x (pow.f64 (log.f64 x) #s(literal -1 binary64)))) (log.f64 (*.f64 (log.f64 x) x))))
(*.f64 (/.f64 (log.f64 (*.f64 x (pow.f64 (log.f64 x) #s(literal -1 binary64)))) (fma.f64 (log.f64 (*.f64 (log.f64 x) x)) (log.f64 (log.f64 x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (log.f64 (/.f64 x (pow.f64 (log.f64 x) #s(literal -1 binary64)))) (/.f64 (log.f64 (*.f64 (log.f64 x) x)) (fma.f64 (log.f64 (log.f64 x)) (log.f64 (/.f64 (log.f64 x) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))))
(*.f64 (/.f64 (log.f64 (*.f64 (log.f64 x) x)) (/.f64 (pow.f64 (log.f64 (*.f64 (log.f64 x) 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 (-.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 (log.f64 x)))) (fma.f64 (log.f64 (*.f64 (log.f64 x) x)) (log.f64 (log.f64 x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(*.f64 (/.f64 (log.f64 (*.f64 (log.f64 x) x)) (/.f64 (pow.f64 (log.f64 (*.f64 (log.f64 x) 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 (-.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 (log.f64 x)))) (fma.f64 (log.f64 (log.f64 x)) (log.f64 (/.f64 (log.f64 x) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(*.f64 (/.f64 (log.f64 (*.f64 (log.f64 x) x)) (/.f64 (pow.f64 (log.f64 (*.f64 (log.f64 x) 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 (log.f64 (*.f64 (log.f64 x) x)) (fma.f64 (log.f64 (log.f64 x)) (log.f64 (/.f64 (log.f64 x) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(*.f64 (/.f64 (log.f64 (*.f64 x (pow.f64 (log.f64 x) #s(literal -1 binary64)))) (log.f64 (*.f64 (log.f64 x) x))) (/.f64 (log.f64 (/.f64 x (pow.f64 (log.f64 x) #s(literal -1 binary64)))) (/.f64 (log.f64 (*.f64 (log.f64 x) x)) (log.f64 (*.f64 (log.f64 x) x)))))
(*.f64 (/.f64 (log.f64 (*.f64 (log.f64 x) 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 4 binary64)) (pow.f64 (*.f64 (log.f64 (*.f64 (log.f64 x) x)) (log.f64 (log.f64 x))) #s(literal 2 binary64))))) (/.f64 (-.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 (log.f64 x)))) (fma.f64 (log.f64 (log.f64 x)) (log.f64 (/.f64 (log.f64 x) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(*.f64 (/.f64 (log.f64 (*.f64 (log.f64 x) 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 4 binary64)) (pow.f64 (*.f64 (log.f64 (*.f64 (log.f64 x) x)) (log.f64 (log.f64 x))) #s(literal 2 binary64))))) (/.f64 (log.f64 (*.f64 (log.f64 x) x)) (fma.f64 (log.f64 (log.f64 x)) (log.f64 (/.f64 (log.f64 x) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(*.f64 (/.f64 (log.f64 (*.f64 (log.f64 x) 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 (*.f64 (log.f64 (*.f64 (log.f64 x) x)) (log.f64 (log.f64 x))) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))))) (/.f64 (-.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 (log.f64 x)))) (fma.f64 (*.f64 (log.f64 (*.f64 (log.f64 x) x)) (log.f64 (log.f64 x))) (log.f64 (/.f64 (pow.f64 (*.f64 (log.f64 x) x) (log.f64 (log.f64 x))) (pow.f64 x (log.f64 x)))) (pow.f64 (log.f64 x) #s(literal 4 binary64)))))
(*.f64 (/.f64 (log.f64 (*.f64 (log.f64 x) 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 (*.f64 (log.f64 (*.f64 (log.f64 x) x)) (log.f64 (log.f64 x))) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))))) (/.f64 (log.f64 (*.f64 (log.f64 x) x)) (fma.f64 (*.f64 (log.f64 (*.f64 (log.f64 x) x)) (log.f64 (log.f64 x))) (log.f64 (/.f64 (pow.f64 (*.f64 (log.f64 x) x) (log.f64 (log.f64 x))) (pow.f64 x (log.f64 x)))) (pow.f64 (log.f64 x) #s(literal 4 binary64)))))
(*.f64 (/.f64 (log.f64 (*.f64 (log.f64 x) x)) (/.f64 (pow.f64 (log.f64 (*.f64 (log.f64 x) x)) #s(literal 2 binary64)) (pow.f64 (log.f64 (*.f64 (log.f64 x) x)) #s(literal 2 binary64)))) (/.f64 (-.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 (log.f64 x)))) (log.f64 (*.f64 (log.f64 x) x))))
(*.f64 (/.f64 (log.f64 (*.f64 (log.f64 x) x)) (/.f64 (pow.f64 (log.f64 (*.f64 (log.f64 x) x)) #s(literal 2 binary64)) (pow.f64 (log.f64 (*.f64 (log.f64 x) x)) #s(literal 2 binary64)))) (/.f64 (log.f64 (*.f64 (log.f64 x) x)) (log.f64 (*.f64 (log.f64 x) x))))
(*.f64 (/.f64 (log.f64 (*.f64 (log.f64 x) x)) (log.f64 (*.f64 (log.f64 x) x))) (/.f64 (-.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 (log.f64 x)))) (/.f64 (log.f64 (*.f64 (log.f64 x) x)) (log.f64 (*.f64 (log.f64 x) x)))))
(*.f64 (/.f64 (log.f64 (*.f64 (log.f64 x) x)) (log.f64 (*.f64 (log.f64 x) x))) (/.f64 (log.f64 (*.f64 (log.f64 x) x)) (/.f64 (log.f64 (*.f64 (log.f64 x) x)) (log.f64 (*.f64 (log.f64 x) x)))))
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(+.f64 (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 (log.f64 x) x))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 (log.f64 x) x))))
(+.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 (log.f64 x) x))) (/.f64 (*.f64 (neg.f64 (neg.f64 (log.f64 (log.f64 x)))) (neg.f64 (log.f64 (log.f64 x)))) (log.f64 (*.f64 (log.f64 x) x))))
(+.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 (log.f64 x) x))) (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 (log.f64 x) x))))
(+.f64 (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) (fma.f64 (log.f64 (log.f64 x)) (log.f64 (/.f64 (log.f64 x) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 (log.f64 x)) (log.f64 (/.f64 (log.f64 x) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 (log.f64 x)) (log.f64 (/.f64 (log.f64 x) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (*.f64 (neg.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3/2 binary64))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 3/2 binary64))) (fma.f64 (log.f64 (*.f64 (log.f64 x) x)) (log.f64 (log.f64 x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 (log.f64 x)) (log.f64 (/.f64 (log.f64 x) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (*.f64 (neg.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))) (log.f64 (log.f64 x))) (fma.f64 (log.f64 (*.f64 (log.f64 x) x)) (log.f64 (log.f64 x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 (log.f64 x)) (log.f64 (/.f64 (log.f64 x) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (*.f64 (neg.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3/2 binary64))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 3/2 binary64))) (fma.f64 (log.f64 (log.f64 x)) (log.f64 (/.f64 (log.f64 x) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 (log.f64 x)) (log.f64 (/.f64 (log.f64 x) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (*.f64 (neg.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))) (log.f64 (log.f64 x))) (fma.f64 (log.f64 (log.f64 x)) (log.f64 (/.f64 (log.f64 x) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 (log.f64 x)) (log.f64 (/.f64 (log.f64 x) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) (fma.f64 (log.f64 (log.f64 x)) (log.f64 (/.f64 (log.f64 x) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(+.f64 (neg.f64 (log.f64 (log.f64 x))) (neg.f64 (log.f64 x)))
(+.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 (log.f64 x))))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 (log.f64 x)))
(+.f64 (log.f64 (log.f64 x)) (log.f64 x))
(+.f64 (log.f64 x) (log.f64 (log.f64 x)))
(log.f64 (pow.f64 (/.f64 x (log.f64 x)) (/.f64 (pow.f64 (log.f64 (*.f64 (log.f64 x) x)) #s(literal 2 binary64)) (pow.f64 (log.f64 (*.f64 (log.f64 x) x)) #s(literal 2 binary64)))))
(log.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 x) x) #s(literal -1 binary64)) (/.f64 (pow.f64 (log.f64 (*.f64 (log.f64 x) x)) #s(literal 2 binary64)) (pow.f64 (log.f64 (*.f64 (log.f64 x) x)) #s(literal 2 binary64)))))
(log.f64 (pow.f64 (*.f64 (log.f64 x) x) (/.f64 (pow.f64 (log.f64 (*.f64 (log.f64 x) x)) #s(literal 2 binary64)) (pow.f64 (log.f64 (*.f64 (log.f64 x) x)) #s(literal 2 binary64)))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (log.f64 x) x) #s(literal -1 binary64))))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (log.f64 x))))
(log.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (log.f64 x)))
(log.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (log.f64 x)))
(log.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))))
(log.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (log.f64 x) #s(literal -1 binary64))))
(log.f64 (pow.f64 (*.f64 (log.f64 x) x) #s(literal -1 binary64)))
(log.f64 (*.f64 (log.f64 x) x))
(log.f64 (/.f64 x (log.f64 x)))
(*.f64 (sqrt.f64 (neg.f64 (neg.f64 (log.f64 x)))) (sqrt.f64 (neg.f64 (neg.f64 (log.f64 x)))))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 x))) (sqrt.f64 (neg.f64 (log.f64 x))))
(*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)))
(pow.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (log.f64 x) #s(literal 1 binary64))
(sqrt.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(fabs.f64 (neg.f64 (neg.f64 (log.f64 x))))
(fabs.f64 (neg.f64 (log.f64 x)))
(fabs.f64 (log.f64 x))
(exp.f64 (/.f64 (log.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 x)))
(+.f64 (cosh.f64 (log.f64 (log.f64 x))) (sinh.f64 (log.f64 (log.f64 x))))
(log.f64 x)
(*.f64 (sqrt.f64 (neg.f64 (neg.f64 (log.f64 (log.f64 x))))) (sqrt.f64 (neg.f64 (neg.f64 (log.f64 (log.f64 x))))))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 (log.f64 x)))) (sqrt.f64 (neg.f64 (log.f64 (log.f64 x)))))
(*.f64 (sqrt.f64 (log.f64 (log.f64 x))) (sqrt.f64 (log.f64 (log.f64 x))))
(pow.f64 (neg.f64 (log.f64 (log.f64 x))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (log.f64 (log.f64 x)) #s(literal 1 binary64))
(sqrt.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))
(fabs.f64 (neg.f64 (neg.f64 (log.f64 (log.f64 x)))))
(fabs.f64 (neg.f64 (log.f64 (log.f64 x))))
(fabs.f64 (log.f64 (log.f64 x)))
(exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 (log.f64 x)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (log.f64 (log.f64 x))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (log.f64 x))))
(+.f64 (cosh.f64 (log.f64 (log.f64 (log.f64 x)))) (sinh.f64 (log.f64 (log.f64 (log.f64 x)))))
(log.f64 (log.f64 x))

eval130.0ms (5.4%)

Memory
1.1MiB live, 107.0MiB allocated; 107ms collecting garbage
Compiler

Compiled 12 357 to 732 computations (94.1% saved)

prune18.0ms (0.8%)

Memory
-24.4MiB live, 21.4MiB allocated; 6ms collecting garbage
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New3182320
Fresh000
Picked101
Done000
Total3192321
Accuracy
100.0%
Counts
321 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(log.f64 (/.f64 x (log.f64 x)))
24.9%
(log.f64 (*.f64 (log.f64 x) x))
Compiler

Compiled 10 to 8 computations (20% saved)

simplify3.0ms (0.1%)

Memory
5.7MiB live, 5.7MiB allocated; 0ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 6 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0624
01124
11224
01224
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(log.f64 (*.f64 (log.f64 x) x))
(*.f64 (log.f64 x) x)
(log.f64 x)
x
(log.f64 (/.f64 x (log.f64 x)))
(/.f64 x (log.f64 x))
x
(log.f64 x)
Outputs
(log.f64 (*.f64 (log.f64 x) x))
(*.f64 (log.f64 x) x)
(log.f64 x)
x
(log.f64 (/.f64 x (log.f64 x)))
(/.f64 x (log.f64 x))
x
(log.f64 x)

localize27.0ms (1.1%)

Memory
-1.8MiB live, 44.3MiB allocated; 6ms collecting garbage
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(log.f64 (/.f64 x (log.f64 x)))
accuracy0.0
(log.f64 x)
accuracy0.26171875
(/.f64 x (log.f64 x))
accuracy0.0
(log.f64 x)
accuracy0.27734375
(*.f64 (log.f64 x) x)
accuracy1.2106778567463907
(log.f64 (*.f64 (log.f64 x) x))
Samples
21.0ms256×0valid
Compiler

Compiled 26 to 8 computations (69.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-log: 8.0ms (68.5% of total)
ival-div: 2.0ms (17.1% of total)
ival-mult: 2.0ms (17.1% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series221.0ms (9.2%)

Memory
30.1MiB live, 308.9MiB allocated; 50ms collecting garbage
Counts
5 → 15
Calls
Call 1
Inputs
(log.f64 (*.f64 (log.f64 x) x))
(*.f64 (log.f64 x) x)
(log.f64 x)
(log.f64 (/.f64 x (log.f64 x)))
(/.f64 x (log.f64 x))
Outputs
(+ (log x) (log (log x)))
(* x (log x))
(log x)
(+ (log x) (log (/ 1 (log x))))
(/ x (log x))
(+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))
(* -1 (* x (log (/ 1 x))))
(* -1 (log (/ 1 x)))
(+ (log (/ -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))
(* -1 (/ x (log (/ 1 x))))
(+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))
(* x (+ (log -1) (* -1 (log (/ -1 x)))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log (/ -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))
(/ x (+ (log -1) (* -1 (log (/ -1 x)))))
Calls

3 calls:

TimeVariablePointExpression
131.0ms
x
@-inf
((log (* (log x) x)) (* (log x) x) (log x) (log (/ x (log x))) (/ x (log x)))
53.0ms
x
@0
((log (* (log x) x)) (* (log x) x) (log x) (log (/ x (log x))) (/ x (log x)))
37.0ms
x
@inf
((log (* (log x) x)) (* (log x) x) (log x) (log (/ x (log x))) (/ x (log x)))

simplify25.0ms (1%)

Memory
-22.7MiB live, 21.5MiB allocated; 6ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
036107
183100
2174100
329699
444499
569399
680493
7120993
8121393
9121493
0121493
Stop Event
iter limit
saturated
Counts
15 → 15
Calls
Call 1
Inputs
(+ (log x) (log (log x)))
(* x (log x))
(log x)
(+ (log x) (log (/ 1 (log x))))
(/ x (log x))
(+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))
(* -1 (* x (log (/ 1 x))))
(* -1 (log (/ 1 x)))
(+ (log (/ -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))
(* -1 (/ x (log (/ 1 x))))
(+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))
(* x (+ (log -1) (* -1 (log (/ -1 x)))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log (/ -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))
(/ x (+ (log -1) (* -1 (log (/ -1 x)))))
Outputs
(+ (log x) (log (log x)))
(+.f64 (log.f64 (log.f64 x)) (log.f64 x))
(* x (log x))
(*.f64 (log.f64 x) x)
(log x)
(log.f64 x)
(+ (log x) (log (/ 1 (log x))))
(neg.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 x)))
(/ x (log x))
(/.f64 x (log.f64 x))
(+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 (log.f64 x)) (log.f64 x))
(* -1 (* x (log (/ 1 x))))
(*.f64 (log.f64 x) x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(+ (log (/ -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))
(neg.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 x)))
(* -1 (/ x (log (/ 1 x))))
(/.f64 x (log.f64 x))
(+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))
(+.f64 (log.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64)))) (log.f64 (neg.f64 x)))
(* x (+ (log -1) (* -1 (log (/ -1 x)))))
(*.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64))) x)
(+ (log -1) (* -1 (log (/ -1 x))))
(+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64)))
(+ (log (/ -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))
(neg.f64 (-.f64 (log.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64)))) (log.f64 (neg.f64 x))))
(/ x (+ (log -1) (* -1 (log (/ -1 x)))))
(/.f64 x (+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64))))

rewrite138.0ms (5.7%)

Memory
3.3MiB live, 189.7MiB allocated; 33ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0620
01120
11820
25420
327120
4269020
0853720
Stop Event
iter limit
node limit
iter limit
Counts
5 → 246
Calls
Call 1
Inputs
(log.f64 (*.f64 (log.f64 x) x))
(*.f64 (log.f64 x) x)
(log.f64 x)
(log.f64 (/.f64 x (log.f64 x)))
(/.f64 x (log.f64 x))
Outputs
(*.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 (neg.f64 (log.f64 x))) #s(literal 3 binary64)))) (fma.f64 (log.f64 (neg.f64 (log.f64 x))) (log.f64 (*.f64 (log.f64 x) x)) (pow.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64))))
(*.f64 (/.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 (log.f64 x)) #s(literal 4 binary64)) (pow.f64 (*.f64 (log.f64 (/.f64 (log.f64 x) x)) (log.f64 x)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (*.f64 (log.f64 (/.f64 (log.f64 x) x)) (log.f64 x))))
(*.f64 (/.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 (*.f64 (log.f64 (/.f64 (log.f64 x) x)) (log.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 6 binary64)))) (fma.f64 (*.f64 (log.f64 (/.f64 (log.f64 x) x)) (log.f64 x)) (-.f64 (*.f64 (log.f64 (/.f64 (log.f64 x) x)) (log.f64 x)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 4 binary64))))
(*.f64 (/.f64 (log.f64 (*.f64 (log.f64 x) x)) (/.f64 (log.f64 (/.f64 (log.f64 x) x)) (log.f64 (/.f64 (log.f64 x) x)))) (/.f64 (log.f64 (/.f64 (log.f64 x) x)) (log.f64 (/.f64 (log.f64 x) x))))
(*.f64 (/.f64 (log.f64 (*.f64 (log.f64 x) x)) (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.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 (log.f64 (/.f64 (log.f64 x) x)) (fma.f64 (log.f64 (log.f64 x)) (log.f64 (/.f64 (log.f64 x) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(*.f64 (/.f64 (log.f64 (/.f64 (log.f64 x) x)) (log.f64 (/.f64 (log.f64 x) x))) (log.f64 (*.f64 (log.f64 x) x)))
(*.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.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)))) (neg.f64 (fma.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 (log.f64 x) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.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)))) (fma.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 (log.f64 x) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))
(*.f64 (fma.f64 (log.f64 (log.f64 x)) (log.f64 (/.f64 (log.f64 x) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (log.f64 (*.f64 (log.f64 x) x)) (fma.f64 (log.f64 (log.f64 x)) (log.f64 (/.f64 (log.f64 x) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(*.f64 (log.f64 (*.f64 (log.f64 x) x)) (/.f64 (log.f64 (/.f64 (log.f64 x) x)) (log.f64 (/.f64 (log.f64 x) x))))
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(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 6 binary64))) (*.f64 (+.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (pow.f64 (*.f64 (log.f64 (log.f64 x)) (log.f64 x)) #s(literal 2 binary64))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 4 binary64))) (log.f64 (*.f64 (log.f64 x) x))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 6 binary64))) (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (log.f64 (log.f64 x)) (log.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 4 binary64))) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (log.f64 (*.f64 (log.f64 x) x))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 6 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 (log.f64 x) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 4 binary64))) (*.f64 (fma.f64 (log.f64 x) (log.f64 x) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))) (log.f64 (*.f64 (log.f64 x) x))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 9 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 9 binary64))) (*.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (-.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 6 binary64)) (pow.f64 (*.f64 (log.f64 (log.f64 x)) (log.f64 x)) #s(literal 3 binary64)))) (fma.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 (log.f64 x) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 (neg.f64 (log.f64 x))) #s(literal 3 binary64))) (fma.f64 (log.f64 (neg.f64 (log.f64 x))) (log.f64 (*.f64 (log.f64 x) x)) (pow.f64 (log.f64 (neg.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 (log.f64 x) x)))
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 (log.f64 x) x)) (pow.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))) (neg.f64 (fma.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 (log.f64 x) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
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(neg.f64 (log.f64 (/.f64 (log.f64 x) x)))
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(fma.f64 (/.f64 (pow.f64 (log.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)))) (neg.f64 (fma.f64 (log.f64 (log.f64 x)) (log.f64 (/.f64 (log.f64 x) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 (log.f64 x) x))))
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(fma.f64 (/.f64 (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)))) (neg.f64 (fma.f64 (log.f64 (log.f64 x)) (log.f64 (/.f64 (log.f64 x) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 (log.f64 x) x))))
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(fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))) (log.f64 (/.f64 (log.f64 x) x)) (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 (log.f64 x) x))))
(fma.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.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 (log.f64 (/.f64 (log.f64 x) x)) (log.f64 x)) (*.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.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)))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))))
(fma.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.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)))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (*.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.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 (log.f64 (/.f64 (log.f64 x) x)) (log.f64 x))))
(fma.f64 (neg.f64 (log.f64 (log.f64 x))) (/.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 (log.f64 x) x))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 (log.f64 x) x))))
(fma.f64 (*.f64 (log.f64 (/.f64 (log.f64 x) x)) (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))) (-.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 (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 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64))))))
(fma.f64 (pow.f64 (log.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 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)))) (*.f64 (*.f64 (log.f64 (/.f64 (log.f64 x) x)) (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))) (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64))))))
(fma.f64 (neg.f64 (log.f64 x)) (/.f64 (log.f64 x) (log.f64 (*.f64 (log.f64 x) x))) (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 (log.f64 x) x))))
(fma.f64 (log.f64 (log.f64 x)) (/.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 (log.f64 x) x))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 (log.f64 x) x))))
(fma.f64 (log.f64 x) (/.f64 (log.f64 x) (log.f64 (*.f64 (log.f64 x) x))) (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 (log.f64 x) x))))
(-.f64 (/.f64 (pow.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 (log.f64 x) x))) (/.f64 (pow.f64 (log.f64 (neg.f64 (log.f64 x))) #s(literal 2 binary64)) (log.f64 (*.f64 (log.f64 x) x))))
(-.f64 (/.f64 (pow.f64 (log.f64 (neg.f64 x)) #s(literal 3 binary64)) (fma.f64 (log.f64 (neg.f64 (log.f64 x))) (log.f64 (*.f64 (log.f64 x) x)) (pow.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 (neg.f64 (log.f64 x))) #s(literal 3 binary64)) (fma.f64 (log.f64 (neg.f64 (log.f64 x))) (log.f64 (*.f64 (log.f64 x) x)) (pow.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 (log.f64 x) x))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 (log.f64 x) x))))
(-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 (log.f64 x) x))) (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 (log.f64 x) x))))
(-.f64 (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) (fma.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 (log.f64 x) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 (log.f64 x) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 (log.f64 x) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) (fma.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 (log.f64 x) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (log.f64 x) x)))
(-.f64 (log.f64 (neg.f64 (log.f64 x))) (log.f64 (neg.f64 x)))
(-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 (log.f64 x))))
(-.f64 (log.f64 (log.f64 x)) (log.f64 x))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(+.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log.f64 x) x)) (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))) (-.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 (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 (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 (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 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64))))) (*.f64 (*.f64 (log.f64 (/.f64 (log.f64 x) x)) (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))) (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64))))))
(+.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.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 (log.f64 (/.f64 (log.f64 x) x)) (log.f64 x))) (*.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.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)))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))))
(+.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.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)))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))) (*.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.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 (log.f64 (/.f64 (log.f64 x) x)) (log.f64 x))))
(+.f64 (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 (log.f64 x) x))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 (log.f64 x) x))))
(+.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 (log.f64 x) x))) (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 (log.f64 x) x))))
(log.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 (log.f64 x) x))) (/.f64 (log.f64 (/.f64 (log.f64 x) x)) (log.f64 (/.f64 (log.f64 x) x)))))
(log.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 x) x) #s(literal -1 binary64)) (/.f64 (log.f64 (/.f64 (log.f64 x) x)) (log.f64 (/.f64 (log.f64 x) x)))))
(log.f64 (pow.f64 (/.f64 x (log.f64 x)) (/.f64 (log.f64 (/.f64 (log.f64 x) x)) (log.f64 (/.f64 (log.f64 x) x)))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (log.f64 (/.f64 (log.f64 x) x)))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (log.f64 x) x) #s(literal -1 binary64))))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (log.f64 x))))
(log.f64 (exp.f64 (log.f64 (/.f64 (log.f64 x) x))))
(log.f64 (pow.f64 (/.f64 (log.f64 x) x) #s(literal -1 binary64)))
(log.f64 (/.f64 (log.f64 x) x))
(log.f64 (/.f64 x (log.f64 x)))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(neg.f64 (/.f64 (neg.f64 x) (log.f64 x)))

eval58.0ms (2.4%)

Memory
18.8MiB live, 61.9MiB allocated; 10ms collecting garbage
Compiler

Compiled 7 590 to 743 computations (90.2% saved)

prune6.0ms (0.2%)

Memory
19.2MiB live, 19.2MiB allocated; 0ms collecting garbage
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New2830283
Fresh000
Picked022
Done000
Total2832285
Accuracy
100.0%
Counts
285 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(log.f64 (/.f64 x (log.f64 x)))
24.9%
(log.f64 (*.f64 (log.f64 x) x))
Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes34.0ms (1.4%)

Memory
-29.9MiB live, 22.7MiB allocated; 37ms collecting garbage
Counts
3 → 1
Calls
Call 1
Inputs
(log.f64 (*.f64 (log.f64 x) x))
(log.f64 (/.f64 x (log.f64 x)))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
Outputs
(log.f64 (/.f64 x (log.f64 x)))
Calls

3 calls:

31.0ms
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
2.0ms
(log.f64 x)
2.0ms
x
Results
AccuracySegmentsBranch
100.0%1(log.f64 x)
100.0%1(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
100.0%1x
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes3.0ms (0.1%)

Memory
9.4MiB live, 9.4MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

3 calls:

1.0ms
x
1.0ms
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
1.0ms
(log.f64 x)
Results
AccuracySegmentsBranch
24.9%1(log.f64 x)
24.9%1(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
24.9%1x
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify9.0ms (0.4%)

Memory
18.9MiB live, 18.9MiB allocated; 0ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0610
Stop Event
saturated
Calls
Call 1
Inputs
(log.f64 (/.f64 x (log.f64 x)))
(log.f64 (*.f64 (log.f64 x) x))
Outputs
(log.f64 (/.f64 x (log.f64 x)))
(log.f64 (*.f64 (log.f64 x) x))

derivations234.0ms (9.7%)

Memory
9.0MiB live, 138.0MiB allocated; 42ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0411
0710
12210
213010
3123210
0936210
Stop Event
done
iter limit
node limit
iter limit
Compiler

Compiled 10 to 6 computations (40% saved)

preprocess43.0ms (1.8%)

Memory
-13.4MiB live, 46.2MiB allocated; 19ms collecting garbage
Compiler

Compiled 32 to 20 computations (37.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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