Jmat.Real.lambertw, estimator

Time bar (total: 4.2s)

analyze1.0ms (0%)

Memory
3.0MiB live, 3.0MiB allocated
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)

sample705.0ms (16.8%)

Memory
0.7MiB live, 976.2MiB allocated
Samples
400.0ms8 256×0valid
0.0ms0invalid
Precisions
Click to see histograms. Total time spent on operations: 251.0ms
ival-log: 203.0ms (80.7% of total)
ival-sub: 40.0ms (15.9% of total)
ival-true: 6.0ms (2.4% of total)
ival-assert: 3.0ms (1.2% of total)
Bogosity

preprocess25.0ms (0.6%)

Memory
-0.1MiB live, 39.0MiB allocated
Algorithm
egg-herbie
Rules
80×lower-fma.f64
80×lower-fma.f32
48×lower-*.f64
48×lower-*.f32
34×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0617
11417
23316
36116
410616
515216
616916
717716
046
076
196
2146
3206
4286
5436
6766
71016
81436
91586
101666
01666
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)))

explain65.0ms (1.6%)

Memory
-7.2MiB live, 111.0MiB allocated
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
30.0ms512×0valid
Compiler

Compiled 42 to 20 computations (52.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-log: 15.0ms (76.8% of total)
ival-sub: 4.0ms (20.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
Compiler

Compiled 7 to 4 computations (42.9% saved)

simplify13.0ms (0.3%)

Memory
-21.9MiB live, 13.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log.f64 (log.f64 x))
cost-diff0
(log.f64 x)
cost-diff0
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
Rules
80×lower-fma.f64
80×lower-fma.f32
48×lower-*.f64
48×lower-*.f32
32×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0412
0712
1912
21412
32012
42812
54312
67612
710112
814312
915812
1016612
016612
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))

localize18.0ms (0.4%)

Memory
29.8MiB live, 29.8MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(log.f64 x)
accuracy100.0%
(log.f64 (log.f64 x))
accuracy99.7%
(-.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: 6.0ms (81.7% of total)
ival-sub: 1.0ms (13.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series120.0ms (2.9%)

Memory
0.3MiB live, 193.3MiB allocated
Counts
3 → 36
Calls
Call 1
Inputs
#s(alt (-.f64 (log.f64 x) (log.f64 (log.f64 x))) (patch (-.f64 (log.f64 x) (log.f64 (log.f64 x))) #<representation binary64>) () ())
#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())
#s(alt (log.f64 (log.f64 x)) (patch (log.f64 (log.f64 x)) #<representation binary64>) () ())
Outputs
#s(alt (- (log x) (log (log x))) (taylor 0 x) (#s(alt (-.f64 (log.f64 x) (log.f64 (log.f64 x))) (patch (-.f64 (log.f64 x) (log.f64 (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (log x) (log (log x))) (taylor 0 x) (#s(alt (-.f64 (log.f64 x) (log.f64 (log.f64 x))) (patch (-.f64 (log.f64 x) (log.f64 (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (log x) (log (log x))) (taylor 0 x) (#s(alt (-.f64 (log.f64 x) (log.f64 (log.f64 x))) (patch (-.f64 (log.f64 x) (log.f64 (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (log x) (log (log x))) (taylor 0 x) (#s(alt (-.f64 (log.f64 x) (log.f64 (log.f64 x))) (patch (-.f64 (log.f64 x) (log.f64 (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (log (/ 1 x))) (log (* -1 (log (/ 1 x))))) (taylor inf x) (#s(alt (-.f64 (log.f64 x) (log.f64 (log.f64 x))) (patch (-.f64 (log.f64 x) (log.f64 (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (log (/ 1 x))) (log (* -1 (log (/ 1 x))))) (taylor inf x) (#s(alt (-.f64 (log.f64 x) (log.f64 (log.f64 x))) (patch (-.f64 (log.f64 x) (log.f64 (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (log (/ 1 x))) (log (* -1 (log (/ 1 x))))) (taylor inf x) (#s(alt (-.f64 (log.f64 x) (log.f64 (log.f64 x))) (patch (-.f64 (log.f64 x) (log.f64 (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (log (/ 1 x))) (log (* -1 (log (/ 1 x))))) (taylor inf x) (#s(alt (-.f64 (log.f64 x) (log.f64 (log.f64 x))) (patch (-.f64 (log.f64 x) (log.f64 (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (+ (log -1) (* -1 (log (/ -1 x)))) (log (+ (log -1) (* -1 (log (/ -1 x)))))) (taylor -inf x) (#s(alt (-.f64 (log.f64 x) (log.f64 (log.f64 x))) (patch (-.f64 (log.f64 x) (log.f64 (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (+ (log -1) (* -1 (log (/ -1 x)))) (log (+ (log -1) (* -1 (log (/ -1 x)))))) (taylor -inf x) (#s(alt (-.f64 (log.f64 x) (log.f64 (log.f64 x))) (patch (-.f64 (log.f64 x) (log.f64 (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (+ (log -1) (* -1 (log (/ -1 x)))) (log (+ (log -1) (* -1 (log (/ -1 x)))))) (taylor -inf x) (#s(alt (-.f64 (log.f64 x) (log.f64 (log.f64 x))) (patch (-.f64 (log.f64 x) (log.f64 (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (+ (log -1) (* -1 (log (/ -1 x)))) (log (+ (log -1) (* -1 (log (/ -1 x)))))) (taylor -inf x) (#s(alt (-.f64 (log.f64 x) (log.f64 (log.f64 x))) (patch (-.f64 (log.f64 x) (log.f64 (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (log x) (taylor 0 x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (log x) (taylor 0 x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (log x) (taylor 0 x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (log x) (taylor 0 x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 x))) (taylor inf x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 x))) (taylor inf x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 x))) (taylor inf x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 x))) (taylor inf x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (log (log x)) (taylor 0 x) (#s(alt (log.f64 (log.f64 x)) (patch (log.f64 (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (log (log x)) (taylor 0 x) (#s(alt (log.f64 (log.f64 x)) (patch (log.f64 (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (log (log x)) (taylor 0 x) (#s(alt (log.f64 (log.f64 x)) (patch (log.f64 (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (log (log x)) (taylor 0 x) (#s(alt (log.f64 (log.f64 x)) (patch (log.f64 (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (log (* -1 (log (/ 1 x)))) (taylor inf x) (#s(alt (log.f64 (log.f64 x)) (patch (log.f64 (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (log (* -1 (log (/ 1 x)))) (taylor inf x) (#s(alt (log.f64 (log.f64 x)) (patch (log.f64 (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (log (* -1 (log (/ 1 x)))) (taylor inf x) (#s(alt (log.f64 (log.f64 x)) (patch (log.f64 (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (log (* -1 (log (/ 1 x)))) (taylor inf x) (#s(alt (log.f64 (log.f64 x)) (patch (log.f64 (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (log (+ (log -1) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (log.f64 (log.f64 x)) (patch (log.f64 (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (log (+ (log -1) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (log.f64 (log.f64 x)) (patch (log.f64 (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (log (+ (log -1) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (log.f64 (log.f64 x)) (patch (log.f64 (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (log (+ (log -1) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (log.f64 (log.f64 x)) (patch (log.f64 (log.f64 x)) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
47.0ms
x
@0
(- (log x) (log (log x)))
47.0ms
x
@-inf
(- (log x) (log (log x)))
25.0ms
x
@inf
(- (log x) (log (log x)))
0.0ms
x
@0
(log x)
0.0ms
x
@inf
(log x)

simplify23.0ms (0.6%)

Memory
-4.6MiB live, 33.4MiB allocated
Algorithm
egg-herbie
Rules
384×lower-fma.f64
384×lower-fma.f32
160×lower-*.f64
160×lower-*.f32
136×lower-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
018228
134212
260212
3125212
4243212
5342212
6442212
7486212
8493212
0493212
Stop Event
iter limit
saturated
Counts
36 → 36
Calls
Call 1
Inputs
(- (log x) (log (log x)))
(- (log x) (log (log x)))
(- (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)))))
(- (* -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))))))
(- (+ (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))))))
(log x)
(log x)
(log x)
(log x)
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(log (log x))
(log (log x))
(log (log x))
(log (log x))
(log (* -1 (log (/ 1 x))))
(log (* -1 (log (/ 1 x))))
(log (* -1 (log (/ 1 x))))
(log (* -1 (log (/ 1 x))))
(log (+ (log -1) (* -1 (log (/ -1 x)))))
(log (+ (log -1) (* -1 (log (/ -1 x)))))
(log (+ (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 (log x)))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(- (log x) (log (log x)))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(- (log x) (log (log x)))
(-.f64 (log.f64 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 (* -1 (log (/ 1 x)))))
(-.f64 (log.f64 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 (* -1 (log (/ 1 x)))))
(-.f64 (log.f64 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)))) (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)))) (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)))) (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 x)
(log.f64 x)
(log x)
(log.f64 x)
(log x)
(log.f64 x)
(log x)
(log.f64 x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(+ (log -1) (* -1 (log (/ -1 x))))
(-.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 -1) (* -1 (log (/ -1 x))))
(-.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 x))
(log.f64 (log.f64 x))
(log (log x))
(log.f64 (log.f64 x))
(log (log x))
(log.f64 (log.f64 x))
(log (log x))
(log.f64 (log.f64 x))
(log (* -1 (log (/ 1 x))))
(log.f64 (log.f64 x))
(log (* -1 (log (/ 1 x))))
(log.f64 (log.f64 x))
(log (* -1 (log (/ 1 x))))
(log.f64 (log.f64 x))
(log (* -1 (log (/ 1 x))))
(log.f64 (log.f64 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))))
(log (+ (log -1) (* -1 (log (/ -1 x)))))
(log.f64 (-.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))))
(log (+ (log -1) (* -1 (log (/ -1 x)))))
(log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))

rewrite282.0ms (6.7%)

Memory
-18.2MiB live, 343.7MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 954×lower-fma.f64
4 954×lower-fma.f32
3 078×lower-/.f64
3 078×lower-/.f32
2 794×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0411
0710
12410
215010
3139910
0971510
Stop Event
iter limit
node limit
iter limit
Counts
3 → 249
Calls
Call 1
Inputs
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(log.f64 x)
(log.f64 (log.f64 x))
Outputs
(log.f64 (*.f64 x (log.f64 x)))
(+.f64 (log.f64 x) (log.f64 (log.f64 x)))
(+.f64 (log.f64 (log.f64 x)) (log.f64 x))
(+.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (log.f64 x)) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (log.f64 x)) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))))
(+.f64 #s(literal 0 binary64) (log.f64 (*.f64 x (log.f64 x))))
(+.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 (neg.f64 x)) (neg.f64 (log.f64 (neg.f64 (log.f64 x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 x (log.f64 x))))) #s(literal -1 binary64)))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(-.f64 (log.f64 x) (/.f64 (log.f64 (log.f64 x)) #s(literal 1 binary64)))
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(*.f64 (-.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (log.f64 x)) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64)))) (*.f64 (fma.f64 (log.f64 x) (log.f64 (log.f64 x)) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (log.f64 x) (log.f64 (log.f64 x)) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))) #s(literal 2 binary64))))
(*.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x))) (*.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))))
(*.f64 (/.f64 (log.f64 (*.f64 x (log.f64 x))) (+.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))))
(*.f64 (-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 9 binary64)) (pow.f64 (fma.f64 (log.f64 x) (log.f64 (log.f64 x)) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 9 binary64)) (pow.f64 (fma.f64 (log.f64 x) (log.f64 (log.f64 x)) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (log.f64 x)) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (log.f64 x)) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (log.f64 x)) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (log.f64 x)) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64)))))))))
(*.f64 (-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 3 binary64))) (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 6 binary64)) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))))))))
(*.f64 (/.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 9 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 9 binary64))) (fma.f64 (log.f64 x) (log.f64 (log.f64 x)) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.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 x) (log.f64 (log.f64 x))) #s(literal 3 binary64))))))
(*.f64 (/.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 6 binary64))) (fma.f64 (log.f64 x) (log.f64 (log.f64 x)) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 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 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 6 binary64))) (log.f64 (*.f64 x (log.f64 x)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (log.f64 x) (log.f64 (log.f64 x)) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64)) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (log.f64 (*.f64 x (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 x) (log.f64 (log.f64 x)) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64))))) (-.f64 (*.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (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 6 binary64)) (pow.f64 (*.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x)))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x)))) (-.f64 (*.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x)))) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (log.f64 x) #s(literal 4 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (log.f64 x) (log.f64 (log.f64 x)) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 (log.f64 x) (log.f64 (log.f64 x)) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))))
(*.f64 (pow.f64 (/.f64 (log.f64 (*.f64 x (log.f64 x))) (+.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (log.f64 x) (log.f64 (log.f64 x)) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))) #s(literal 2 binary64))))
(*.f64 (pow.f64 (/.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (log.f64 x) (log.f64 (log.f64 x)) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))) (+.f64 (pow.f64 (log.f64 x) #s(literal 9 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 9 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.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 x) (log.f64 (log.f64 x))) #s(literal 3 binary64))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (log.f64 x) (log.f64 (log.f64 x)) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))) (+.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 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 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 x (log.f64 x)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 x (log.f64 x)))) #s(literal -1/2 binary64)))
(log.f64 x)
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (log.f64 x) #s(literal 0 binary64))
(exp.f64 (log.f64 (log.f64 x)))
(-.f64 (log.f64 x) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (neg.f64 (log.f64 x)))
(fma.f64 (log.f64 x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (log.f64 x) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 x) #s(literal -1/2 binary64)) (pow.f64 (log.f64 x) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 x) #s(literal 1/2 binary64)) (pow.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(neg.f64 (neg.f64 (log.f64 x)))
(/.f64 (log.f64 x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (log.f64 x))
(/.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))
(/.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 0 binary64)))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 0 binary64)))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64)) (log.f64 x))
(pow.f64 (log.f64 x) #s(literal 1 binary64))
(pow.f64 (log.f64 x) #s(literal -1 binary64))
(*.f64 (log.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 x))
(*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))
(*.f64 (pow.f64 (log.f64 x) #s(literal -1/2 binary64)) (pow.f64 (log.f64 x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (log.f64 x) #s(literal 1/2 binary64)) (pow.f64 (log.f64 x) #s(literal 1/2 binary64)))
(log.f64 (log.f64 x))
(+.f64 #s(literal 0 binary64) (log.f64 (log.f64 x)))
(exp.f64 (log.f64 (log.f64 (log.f64 x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (log.f64 x))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (log.f64 (log.f64 x)))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (log.f64 x))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal 0 binary64))) (log.f64 (log.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (log.f64 (log.f64 x))) (log.f64 (log.f64 x)))
(neg.f64 (log.f64 (log.f64 x)))
(/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal 0 binary64)))
(/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) (neg.f64 (+.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 (log.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal 0 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (log.f64 x)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))))
(pow.f64 (log.f64 (log.f64 x)) #s(literal 1 binary64))
(*.f64 (log.f64 (log.f64 x)) #s(literal 1 binary64))
(*.f64 (log.f64 (log.f64 x)) #s(literal -1 binary64))
(*.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal 0 binary64))))
(*.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x))))
(*.f64 #s(literal 1 binary64) (log.f64 (log.f64 x)))
(*.f64 #s(literal -1 binary64) (log.f64 (log.f64 x)))
(*.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 1/2 binary64)))

eval36.0ms (0.9%)

Memory
4.4MiB live, 80.5MiB allocated
Compiler

Compiled 9 079 to 693 computations (92.4% saved)

prune57.0ms (1.4%)

Memory
35.2MiB live, 115.3MiB allocated
Pruning

20 alts after pruning (19 fresh and 1 done)

PrunedKeptTotal
New30419323
Fresh000
Picked011
Done000
Total30420324
Accuracy
100.0%
Counts
324 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.7%
(/.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (neg.f64 (log.f64 (*.f64 x (log.f64 x)))) (*.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))))
98.2%
(/.f64 (-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 3 binary64))) (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 6 binary64)) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x))))))))
98.6%
(/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))) (log.f64 (*.f64 x (log.f64 x)))) (*.f64 (log.f64 (*.f64 x (log.f64 x))) (/.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))))
98.6%
(/.f64 (-.f64 (*.f64 (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log.f64 (*.f64 x (log.f64 x)))) (*.f64 (neg.f64 (log.f64 (*.f64 x (log.f64 x)))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))))
99.1%
(/.f64 (+.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (log.f64 x)))))))
25.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 x (log.f64 x)))))
99.2%
(-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (log.f64 x)))))) (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (log.f64 x)))))))
98.7%
(-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))))
99.0%
(-.f64 (/.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 6 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 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (log.f64 x)))))) (/.f64 (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 6 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 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (log.f64 x)))))))
99.4%
(-.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 0 binary64))))) (log.f64 (log.f64 x)))
98.7%
(-.f64 (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))) (/.f64 (*.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))))
99.2%
(-.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 1/2 binary64)) (pow.f64 (log.f64 x) #s(literal 1/2 binary64))) (log.f64 (log.f64 x)))
99.6%
(-.f64 (log.f64 x) (*.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal 0 binary64)))))
99.7%
(-.f64 (log.f64 x) (*.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x)))))
99.7%
(-.f64 (log.f64 x) (*.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 1/2 binary64))))
99.7%
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
99.7%
(-.f64 (log.f64 x) (exp.f64 (log.f64 (log.f64 (log.f64 x)))))
98.2%
(-.f64 (exp.f64 (log.f64 (log.f64 x))) (log.f64 (log.f64 x)))
98.2%
(*.f64 (-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 3 binary64))) (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 6 binary64)) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))))))))
25.0%
(log.f64 (*.f64 x (log.f64 x)))
Compiler

Compiled 1 191 to 488 computations (59% saved)

simplify196.0ms (4.7%)

Memory
-29.6MiB live, 288.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x))))
cost-diff13824
(-.f64 (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))) (/.f64 (*.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))))
cost-diff19904
(/.f64 (*.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64)))
cost-diff19904
(/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64)))
cost-diff0
(log.f64 x)
cost-diff0
(pow.f64 (log.f64 x) #s(literal 2 binary64))
cost-diff0
(/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x))))
cost-diff13824
(-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))))
cost-diff0
(pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))
cost-diff0
(log.f64 x)
cost-diff0
(-.f64 (log.f64 x) (*.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x)))))
cost-diff20288
(*.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x))))
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 (log.f64 (log.f64 x)))
cost-diff0
(log.f64 x)
cost-diff0
(-.f64 (log.f64 x) (exp.f64 (log.f64 (log.f64 (log.f64 x)))))
cost-diff12800
(exp.f64 (log.f64 (log.f64 (log.f64 x))))
Rules
5 052×lower-*.f32
5 044×lower-*.f64
4 278×lower-fma.f64
4 278×lower-fma.f32
1 366×lower-/.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
024274
045222
173222
2157222
3448214
42134210
54216210
66175210
08113210
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 (log.f64 x) (exp.f64 (log.f64 (log.f64 (log.f64 x)))))
(log.f64 x)
x
(exp.f64 (log.f64 (log.f64 (log.f64 x))))
(log.f64 (log.f64 (log.f64 x)))
(log.f64 (log.f64 x))
(log.f64 (*.f64 x (log.f64 x)))
(*.f64 x (log.f64 x))
x
(log.f64 x)
(-.f64 (log.f64 x) (*.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x)))))
(log.f64 x)
x
(*.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x))))
(pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))
(log.f64 (log.f64 x))
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x)))
#s(literal 1 binary64)
(-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))))
(/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x))))
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(log.f64 x)
x
#s(literal 2 binary64)
(log.f64 (*.f64 x (log.f64 x)))
(*.f64 x (log.f64 x))
(/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x))))
(pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))
(log.f64 (log.f64 x))
(-.f64 (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))) (/.f64 (*.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))))
(/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x))))
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(log.f64 x)
x
#s(literal 2 binary64)
(log.f64 (*.f64 x (log.f64 x)))
(*.f64 x (log.f64 x))
(pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))
(/.f64 (*.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64)))
(*.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))
(pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))
(log.f64 (log.f64 x))
Outputs
(-.f64 (log.f64 x) (exp.f64 (log.f64 (log.f64 (log.f64 x)))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(log.f64 x)
x
(exp.f64 (log.f64 (log.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(log.f64 (log.f64 (log.f64 x)))
(log.f64 (log.f64 x))
(log.f64 (*.f64 x (log.f64 x)))
(*.f64 x (log.f64 x))
x
(log.f64 x)
(-.f64 (log.f64 x) (*.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x)))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(log.f64 x)
x
(*.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))
(log.f64 (log.f64 x))
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x)))
#s(literal 1 binary64)
(-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 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))) (log.f64 (*.f64 x (log.f64 x))))
(/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x))))
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(log.f64 x)
x
#s(literal 2 binary64)
(log.f64 (*.f64 x (log.f64 x)))
(*.f64 x (log.f64 x))
(/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x))))
(pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))
(log.f64 (log.f64 x))
(-.f64 (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))) (/.f64 (*.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))) (log.f64 (*.f64 x (log.f64 x))))
(/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64)))
(/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x))))
(*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x))))
(*.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(log.f64 x)
x
#s(literal 2 binary64)
(log.f64 (*.f64 x (log.f64 x)))
(*.f64 x (log.f64 x))
(pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))
(/.f64 (*.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64)))
(/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x))))
(*.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))
(pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))
(log.f64 (log.f64 x))

localize121.0ms (2.9%)

Memory
10.2MiB live, 165.7MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy99.4%
(/.f64 (*.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64)))
accuracy99.3%
(pow.f64 (log.f64 x) #s(literal 2 binary64))
accuracy99.2%
(pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))
accuracy99.2%
(pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))
accuracy99.4%
(/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x))))
accuracy99.4%
(/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x))))
accuracy99.3%
(pow.f64 (log.f64 x) #s(literal 2 binary64))
accuracy99.2%
(pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))
accuracy99.7%
(-.f64 (log.f64 x) (*.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x)))))
accuracy99.6%
(/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x)))
accuracy99.5%
(*.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x))))
accuracy99.2%
(pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))
accuracy100.0%
(log.f64 x)
accuracy99.6%
(log.f64 (*.f64 x (log.f64 x)))
accuracy99.6%
(*.f64 x (log.f64 x))
accuracy100.0%
(log.f64 (log.f64 x))
accuracy99.7%
(-.f64 (log.f64 x) (exp.f64 (log.f64 (log.f64 (log.f64 x)))))
accuracy99.6%
(log.f64 (log.f64 (log.f64 x)))
accuracy99.4%
(exp.f64 (log.f64 (log.f64 (log.f64 x))))
Samples
57.0ms256×0valid
Compiler

Compiled 276 to 26 computations (90.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-log: 14.0ms (34% of total)
ival-div: 8.0ms (19.4% of total)
ival-pow2: 7.0ms (17% of total)
ival-mult: 6.0ms (14.6% of total)
ival-sub: 4.0ms (9.7% of total)
ival-exp: 3.0ms (7.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series156.0ms (3.7%)

Memory
13.7MiB live, 163.1MiB allocated
Counts
20 → 240
Calls
Call 1
Inputs
#s(alt (exp.f64 (log.f64 (log.f64 (log.f64 x)))) (patch (exp.f64 (log.f64 (log.f64 (log.f64 x)))) #<representation binary64>) () ())
#s(alt (-.f64 (log.f64 x) (exp.f64 (log.f64 (log.f64 (log.f64 x))))) (patch (-.f64 (log.f64 x) (exp.f64 (log.f64 (log.f64 (log.f64 x))))) #<representation binary64>) () ())
#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())
#s(alt (log.f64 (log.f64 (log.f64 x))) (patch (log.f64 (log.f64 (log.f64 x))) #<representation binary64>) () ())
#s(alt (log.f64 (*.f64 x (log.f64 x))) (patch (log.f64 (*.f64 x (log.f64 x))) #<representation binary64>) () ())
#s(alt (*.f64 x (log.f64 x)) (patch (*.f64 x (log.f64 x)) #<representation binary64>) () ())
#s(alt (*.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x)))) (patch (*.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x)))) #<representation binary64>) () ())
#s(alt (-.f64 (log.f64 x) (*.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x))))) (patch (-.f64 (log.f64 x) (*.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x))))) #<representation binary64>) () ())
#s(alt (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (patch (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x))))) (patch (-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x))))) #<representation binary64>) () ())
#s(alt (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) (patch (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) #<representation binary64>) () ())
#s(alt (pow.f64 (log.f64 x) #s(literal 2 binary64)) (patch (pow.f64 (log.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))) (patch (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))) (patch (/.f64 (*.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))) (/.f64 (*.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64)))) (patch (-.f64 (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))) (/.f64 (*.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) (patch (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) #<representation binary64>) () ())
#s(alt (log.f64 (log.f64 x)) (patch (log.f64 (log.f64 x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x))) (patch (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x))) #<representation binary64>) () ())
#s(alt (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) (patch (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) #<representation binary64>) () ())
#s(alt (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64)) (patch (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (log (log x)) (taylor 0 x) (#s(alt (exp.f64 (log.f64 (log.f64 (log.f64 x)))) (patch (exp.f64 (log.f64 (log.f64 (log.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (log (log x)) (taylor 0 x) (#s(alt (exp.f64 (log.f64 (log.f64 (log.f64 x)))) (patch (exp.f64 (log.f64 (log.f64 (log.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (log (log x)) (taylor 0 x) (#s(alt (exp.f64 (log.f64 (log.f64 (log.f64 x)))) (patch (exp.f64 (log.f64 (log.f64 (log.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (log (log x)) (taylor 0 x) (#s(alt (exp.f64 (log.f64 (log.f64 (log.f64 x)))) (patch (exp.f64 (log.f64 (log.f64 (log.f64 x)))) #<representation binary64>) () ())) ())
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Calls

60 calls:

TimeVariablePointExpression
55.0ms
x
@-inf
(log (* x (log x)))
22.0ms
x
@-inf
(log (log (log x)))
14.0ms
x
@inf
(log (log (log x)))
14.0ms
x
@0
(log (* x (log x)))
14.0ms
x
@0
(log (log (log x)))

simplify321.0ms (7.7%)

Memory
-4.5MiB live, 402.5MiB allocated
Algorithm
egg-herbie
Rules
11 960×lower-fma.f64
11 960×lower-fma.f32
3 052×lower-*.f64
3 052×lower-*.f32
3 038×lower--.f64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
0552936
11312760
23572716
38522716
423952716
545032636
081162636
Stop Event
iter limit
node limit
Counts
240 → 240
Calls
Call 1
Inputs
(log (log x))
(log (log x))
(log (log x))
(log (log x))
(log (* -1 (log (/ 1 x))))
(log (* -1 (log (/ 1 x))))
(log (* -1 (log (/ 1 x))))
(log (* -1 (log (/ 1 x))))
(log (+ (log -1) (* -1 (log (/ -1 x)))))
(log (+ (log -1) (* -1 (log (/ -1 x)))))
(log (+ (log -1) (* -1 (log (/ -1 x)))))
(log (+ (log -1) (* -1 (log (/ -1 x)))))
(- (log x) (log (log x)))
(- (log x) (log (log x)))
(- (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)))))
(- (* -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))))))
(- (+ (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))))))
(log x)
(log x)
(log x)
(log x)
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(log (log (log x)))
(log (log (log x)))
(log (log (log x)))
(log (log (log x)))
(log (log (* -1 (log (/ 1 x)))))
(log (log (* -1 (log (/ 1 x)))))
(log (log (* -1 (log (/ 1 x)))))
(log (log (* -1 (log (/ 1 x)))))
(log (log (+ (log -1) (* -1 (log (/ -1 x))))))
(log (log (+ (log -1) (* -1 (log (/ -1 x))))))
(log (log (+ (log -1) (* -1 (log (/ -1 x))))))
(log (log (+ (log -1) (* -1 (log (/ -1 x))))))
(+ (log x) (log (log x)))
(+ (log x) (log (log x)))
(+ (log x) (log (log x)))
(+ (log x) (log (log x)))
(+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))
(+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))
(+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))
(+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))
(+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))
(+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))
(+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))
(+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))
(* x (log x))
(* x (log x))
(* x (log x))
(* x (log x))
(* -1 (* x (log (/ 1 x))))
(* -1 (* x (log (/ 1 x))))
(* -1 (* x (log (/ 1 x))))
(* -1 (* x (log (/ 1 x))))
(* x (+ (log -1) (* -1 (log (/ -1 x)))))
(* x (+ (log -1) (* -1 (log (/ -1 x)))))
(* x (+ (log -1) (* -1 (log (/ -1 x)))))
(* x (+ (log -1) (* -1 (log (/ -1 x)))))
(log (log x))
(log (log x))
(log (log x))
(log (log x))
(log (* -1 (log (/ 1 x))))
(log (* -1 (log (/ 1 x))))
(log (* -1 (log (/ 1 x))))
(log (* -1 (log (/ 1 x))))
(log (+ (log -1) (* -1 (log (/ -1 x)))))
(log (+ (log -1) (* -1 (log (/ -1 x)))))
(log (+ (log -1) (* -1 (log (/ -1 x)))))
(log (+ (log -1) (* -1 (log (/ -1 x)))))
(- (log x) (log (log x)))
(- (log x) (log (log x)))
(- (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)))))
(- (* -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))))))
(- (+ (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))))))
(pow (log (log x)) 2)
(pow (log (log x)) 2)
(pow (log (log x)) 2)
(pow (log (log x)) 2)
(pow (log (* -1 (log (/ 1 x)))) 2)
(pow (log (* -1 (log (/ 1 x)))) 2)
(pow (log (* -1 (log (/ 1 x)))) 2)
(pow (log (* -1 (log (/ 1 x)))) 2)
(pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2)
(pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2)
(pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2)
(pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2)
(- (/ (pow (log x) 2) (+ (log x) (log (log x)))) (/ (pow (log (log x)) 2) (+ (log x) (log (log x)))))
(- (/ (pow (log x) 2) (+ (log x) (log (log x)))) (/ (pow (log (log x)) 2) (+ (log x) (log (log x)))))
(- (/ (pow (log x) 2) (+ (log x) (log (log x)))) (/ (pow (log (log x)) 2) (+ (log x) (log (log x)))))
(- (/ (pow (log x) 2) (+ (log x) (log (log x)))) (/ (pow (log (log x)) 2) (+ (log x) (log (log x)))))
(- (/ (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))) (/ (pow (log (* -1 (log (/ 1 x)))) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))))
(- (/ (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))) (/ (pow (log (* -1 (log (/ 1 x)))) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))))
(- (/ (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))) (/ (pow (log (* -1 (log (/ 1 x)))) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))))
(- (/ (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))) (/ (pow (log (* -1 (log (/ 1 x)))) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))))
(- (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))) (/ (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))))
(- (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))) (/ (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))))
(- (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))) (/ (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))))
(- (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))) (/ (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))))
(/ (pow (log x) 2) (+ (log x) (log (log x))))
(/ (pow (log x) 2) (+ (log x) (log (log x))))
(/ (pow (log x) 2) (+ (log x) (log (log x))))
(/ (pow (log x) 2) (+ (log x) (log (log x))))
(/ (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))))
(/ (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))))
(/ (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))))
(/ (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))))
(/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))))
(/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))))
(/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))))
(/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))))
(pow (log x) 2)
(pow (log x) 2)
(pow (log x) 2)
(pow (log x) 2)
(pow (log (/ 1 x)) 2)
(pow (log (/ 1 x)) 2)
(pow (log (/ 1 x)) 2)
(pow (log (/ 1 x)) 2)
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)
(/ (pow (log x) 2) (+ (log x) (log (log x))))
(/ (pow (log x) 2) (+ (log x) (log (log x))))
(/ (pow (log x) 2) (+ (log x) (log (log x))))
(/ (pow (log x) 2) (+ (log x) (log (log x))))
(/ (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))))
(/ (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))))
(/ (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))))
(/ (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))))
(/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))))
(/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))))
(/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))))
(/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))))
(/ (pow (log (log x)) 2) (+ (log x) (log (log x))))
(/ (pow (log (log x)) 2) (+ (log x) (log (log x))))
(/ (pow (log (log x)) 2) (+ (log x) (log (log x))))
(/ (pow (log (log x)) 2) (+ (log x) (log (log x))))
(/ (pow (log (* -1 (log (/ 1 x)))) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))))
(/ (pow (log (* -1 (log (/ 1 x)))) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))))
(/ (pow (log (* -1 (log (/ 1 x)))) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))))
(/ (pow (log (* -1 (log (/ 1 x)))) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))))
(/ (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))))
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(/ (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))))
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(- (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))) (/ (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))))
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(* (pow (log x) 2) (+ (log x) (log (log x))))
(*.f64 (+.f64 (log.f64 x) (log.f64 (log.f64 x))) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
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(* (pow (log x) 2) (+ (log x) (log (log x))))
(*.f64 (+.f64 (log.f64 x) (log.f64 (log.f64 x))) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(* (pow (log x) 2) (+ (log x) (log (log x))))
(*.f64 (+.f64 (log.f64 x) (log.f64 (log.f64 x))) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(* (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))))
(*.f64 (+.f64 (log.f64 x) (log.f64 (log.f64 x))) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
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(*.f64 (+.f64 (log.f64 x) (log.f64 (log.f64 x))) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(* (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))))
(*.f64 (+.f64 (log.f64 x) (log.f64 (log.f64 x))) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(* (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))))
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(* (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))))
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(* (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))))
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(* (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))))
(*.f64 (-.f64 (log.f64 (-.f64 (neg.f64 (log.f64 (neg.f64 x))) (log.f64 #s(literal -1 binary64)))) (neg.f64 (log.f64 (neg.f64 x)))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64)))
(log (log x))
(log.f64 (log.f64 x))
(log (log x))
(log.f64 (log.f64 x))
(log (log x))
(log.f64 (log.f64 x))
(log (log x))
(log.f64 (log.f64 x))
(log (* -1 (log (/ 1 x))))
(log.f64 (log.f64 x))
(log (* -1 (log (/ 1 x))))
(log.f64 (log.f64 x))
(log (* -1 (log (/ 1 x))))
(log.f64 (log.f64 x))
(log (* -1 (log (/ 1 x))))
(log.f64 (log.f64 x))
(log (+ (log -1) (* -1 (log (/ -1 x)))))
(log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))))
(log (+ (log -1) (* -1 (log (/ -1 x)))))
(log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))))
(log (+ (log -1) (* -1 (log (/ -1 x)))))
(log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))))
(log (+ (log -1) (* -1 (log (/ -1 x)))))
(log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))))
(/ 1 (log (log x)))
(/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x)))
(/ 1 (log (log x)))
(/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x)))
(/ 1 (log (log x)))
(/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x)))
(/ 1 (log (log x)))
(/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x)))
(/ 1 (log (* -1 (log (/ 1 x)))))
(/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x)))
(/ 1 (log (* -1 (log (/ 1 x)))))
(/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x)))
(/ 1 (log (* -1 (log (/ 1 x)))))
(/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x)))
(/ 1 (log (* -1 (log (/ 1 x)))))
(/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x)))
(/ 1 (log (+ (log -1) (* -1 (log (/ -1 x))))))
(/.f64 #s(literal 1 binary64) (log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))))
(/ 1 (log (+ (log -1) (* -1 (log (/ -1 x))))))
(/.f64 #s(literal 1 binary64) (log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))))
(/ 1 (log (+ (log -1) (* -1 (log (/ -1 x))))))
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(/ 1 (log (+ (log -1) (* -1 (log (/ -1 x))))))
(/.f64 #s(literal 1 binary64) (log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))))
(/ (pow (log (log x)) 2) (+ (log x) (log (log x))))
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(/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (+.f64 (log.f64 x) (log.f64 (log.f64 x))))
(/ (pow (log (* -1 (log (/ 1 x)))) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))))
(/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (+.f64 (log.f64 x) (log.f64 (log.f64 x))))
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(/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (+.f64 (log.f64 x) (log.f64 (log.f64 x))))
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(/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (+.f64 (log.f64 x) (log.f64 (log.f64 x))))
(/ (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))))
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(/ (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))))
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(/ (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))))
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(pow (+ (log x) (log (log x))) 2)
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(pow (+ (log x) (log (log x))) 2)
(pow.f64 (+.f64 (log.f64 x) (log.f64 (log.f64 x))) #s(literal 2 binary64))
(pow (+ (log x) (log (log x))) 2)
(pow.f64 (+.f64 (log.f64 x) (log.f64 (log.f64 x))) #s(literal 2 binary64))
(pow (+ (log x) (log (log x))) 2)
(pow.f64 (+.f64 (log.f64 x) (log.f64 (log.f64 x))) #s(literal 2 binary64))
(pow (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))) 2)
(pow.f64 (+.f64 (log.f64 x) (log.f64 (log.f64 x))) #s(literal 2 binary64))
(pow (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))) 2)
(pow.f64 (+.f64 (log.f64 x) (log.f64 (log.f64 x))) #s(literal 2 binary64))
(pow (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))) 2)
(pow.f64 (+.f64 (log.f64 x) (log.f64 (log.f64 x))) #s(literal 2 binary64))
(pow (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))) 2)
(pow.f64 (+.f64 (log.f64 x) (log.f64 (log.f64 x))) #s(literal 2 binary64))
(pow (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))) 2)
(pow.f64 (-.f64 (log.f64 (-.f64 (neg.f64 (log.f64 (neg.f64 x))) (log.f64 #s(literal -1 binary64)))) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64))
(pow (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))) 2)
(pow.f64 (-.f64 (log.f64 (-.f64 (neg.f64 (log.f64 (neg.f64 x))) (log.f64 #s(literal -1 binary64)))) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64))
(pow (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))) 2)
(pow.f64 (-.f64 (log.f64 (-.f64 (neg.f64 (log.f64 (neg.f64 x))) (log.f64 #s(literal -1 binary64)))) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64))
(pow (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))) 2)
(pow.f64 (-.f64 (log.f64 (-.f64 (neg.f64 (log.f64 (neg.f64 x))) (log.f64 #s(literal -1 binary64)))) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64))

rewrite332.0ms (7.9%)

Memory
23.7MiB live, 406.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 238×lower-fma.f64
5 238×lower-fma.f32
3 050×lower-*.f32
3 042×lower-*.f64
2 946×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
024205
045137
1170133
21409117
09022117
Stop Event
iter limit
node limit
iter limit
Counts
20 → 1 264
Calls
Call 1
Inputs
(exp.f64 (log.f64 (log.f64 (log.f64 x))))
(-.f64 (log.f64 x) (exp.f64 (log.f64 (log.f64 (log.f64 x)))))
(log.f64 x)
(log.f64 (log.f64 (log.f64 x)))
(log.f64 (*.f64 x (log.f64 x)))
(*.f64 x (log.f64 x))
(*.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x))))
(-.f64 (log.f64 x) (*.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x)))))
(pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))
(-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))))
(/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x))))
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64)))
(/.f64 (*.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64)))
(-.f64 (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))) (/.f64 (*.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))))
(*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x))))
(log.f64 (log.f64 x))
(/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x)))
(/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x))))
(pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))
Outputs
(log.f64 (log.f64 x))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 x))))
(+.f64 (log.f64 (sqrt.f64 (log.f64 x))) (log.f64 (sqrt.f64 (log.f64 x))))
(exp.f64 (log.f64 (log.f64 (log.f64 x))))
(exp.f64 (fma.f64 (log.f64 (log.f64 (log.f64 x))) #s(literal 2 binary64) (*.f64 (log.f64 (log.f64 (log.f64 x))) #s(literal -1 binary64))))
(exp.f64 (+.f64 (log.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))) (*.f64 (log.f64 (log.f64 (log.f64 x))) #s(literal -1 binary64))))
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(*.f64 (neg.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 x (log.f64 x)))))
(*.f64 (neg.f64 (log.f64 (*.f64 x (log.f64 x)))) (neg.f64 (pow.f64 (/.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x)))) #s(literal 2 binary64))))
(*.f64 (neg.f64 (*.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 x (log.f64 x)))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 x (log.f64 x)))) (pow.f64 (/.f64 (log.f64 (*.f64 x (log.f64 x))) (*.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 x (log.f64 x)))) (pow.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal -2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal -2 binary64)) (*.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal -2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x)))) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x))))
(*.f64 (/.f64 (*.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))) (log.f64 (*.f64 x (log.f64 x)))) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 x (log.f64 x)))))
(*.f64 (pow.f64 (*.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal -2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal -2 binary64))) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (sqrt.f64 (log.f64 (*.f64 x (log.f64 x)))) (/.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x))))) (*.f64 (sqrt.f64 (log.f64 (*.f64 x (log.f64 x)))) (/.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x))))))
(*.f64 (*.f64 (/.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x)))) (sqrt.f64 (log.f64 (*.f64 x (log.f64 x))))) (*.f64 (/.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x)))) (sqrt.f64 (log.f64 (*.f64 x (log.f64 x))))))
(+.f64 (*.f64 (log.f64 (*.f64 x (log.f64 x))) (log.f64 x)) (*.f64 (log.f64 (*.f64 x (log.f64 x))) (log.f64 (log.f64 x))))
(+.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x (log.f64 x)))) (*.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x)))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 (*.f64 x (log.f64 x))))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 (*.f64 x (log.f64 x))))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (log.f64 (*.f64 x (log.f64 x)))) (log.f64 (log.f64 (*.f64 x (log.f64 x))))))
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))))
(fma.f64 (log.f64 x) (log.f64 (*.f64 x (log.f64 x))) (*.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x)))))
(fma.f64 (log.f64 (*.f64 x (log.f64 x))) (log.f64 x) (*.f64 (log.f64 (*.f64 x (log.f64 x))) (log.f64 (log.f64 x))))
(fma.f64 (*.f64 (sqrt.f64 (log.f64 (*.f64 x (log.f64 x)))) (sqrt.f64 (log.f64 x))) (*.f64 (sqrt.f64 (log.f64 (*.f64 x (log.f64 x)))) (sqrt.f64 (log.f64 x))) (*.f64 (log.f64 (*.f64 x (log.f64 x))) (log.f64 (log.f64 x))))
(fma.f64 (*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 (*.f64 x (log.f64 x))))) (*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 (*.f64 x (log.f64 x))))) (*.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x)))))
(neg.f64 (neg.f64 (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal -2 binary64)))
(/.f64 (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 (neg.f64 (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))) #s(literal -1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 (log.f64 (*.f64 x (log.f64 x))) (log.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (log.f64 (*.f64 x (log.f64 x))) (log.f64 (log.f64 x))) #s(literal 3 binary64))) (fma.f64 (*.f64 (log.f64 (*.f64 x (log.f64 x))) (log.f64 x)) (*.f64 (log.f64 (*.f64 x (log.f64 x))) (log.f64 x)) (-.f64 (pow.f64 (*.f64 (log.f64 (*.f64 x (log.f64 x))) (log.f64 (log.f64 x))) #s(literal 2 binary64)) (*.f64 (*.f64 (log.f64 (*.f64 x (log.f64 x))) (log.f64 x)) (*.f64 (log.f64 (*.f64 x (log.f64 x))) (log.f64 (log.f64 x)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x (log.f64 x)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x (log.f64 x)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x)))) #s(literal 2 binary64)) (*.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x (log.f64 x)))) (*.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x))))))))
(/.f64 (-.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (log.f64 x))) (log.f64 x)) (*.f64 (log.f64 (*.f64 x (log.f64 x))) (log.f64 x))) (pow.f64 (*.f64 (log.f64 (*.f64 x (log.f64 x))) (log.f64 (log.f64 x))) #s(literal 2 binary64))) (-.f64 (*.f64 (log.f64 (*.f64 x (log.f64 x))) (log.f64 x)) (*.f64 (log.f64 (*.f64 x (log.f64 x))) (log.f64 (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x (log.f64 x)))) #s(literal 2 binary64)) (pow.f64 (*.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x)))) #s(literal 2 binary64))) (-.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x (log.f64 x)))) (*.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x))))))
(pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (neg.f64 (log.f64 (*.f64 x (log.f64 x)))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (log.f64 (*.f64 x (log.f64 x)))))
(*.f64 (log.f64 (*.f64 x (log.f64 x))) (log.f64 (*.f64 x (log.f64 x))))
(*.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))))
(*.f64 (neg.f64 (log.f64 (*.f64 x (log.f64 x)))) (neg.f64 (log.f64 (*.f64 x (log.f64 x)))))

eval387.0ms (9.2%)

Memory
26.3MiB live, 585.0MiB allocated
Compiler

Compiled 91 505 to 3 584 computations (96.1% saved)

prune217.0ms (5.2%)

Memory
-14.9MiB live, 411.8MiB allocated
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New2 69412 695
Fresh14014
Picked415
Done011
Total2 71232 715
Accuracy
100.0%
Counts
2 715 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
100.0%
(log.f64 (/.f64 x (log.f64 x)))
25.0%
(log.f64 (*.f64 x (log.f64 x)))
Compiler

Compiled 19 to 12 computations (36.8% saved)

simplify4.0ms (0.1%)

Memory
7.9MiB live, 7.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log.f64 x)
cost-diff0
(/.f64 x (log.f64 x))
cost-diff0
(log.f64 (/.f64 x (log.f64 x)))
Rules
lift-log.f64
lower-log.f32
lift-/.f64
lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

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

localize22.0ms (0.5%)

Memory
-4.5MiB live, 33.1MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(log.f64 x)
accuracy100.0%
(log.f64 (/.f64 x (log.f64 x)))
accuracy99.6%
(/.f64 x (log.f64 x))
Samples
16.0ms256×0valid
Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-log: 6.0ms (73% of total)
ival-div: 2.0ms (24.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series265.0ms (6.3%)

Memory
-6.0MiB live, 70.1MiB allocated
Counts
3 → 36
Calls
Call 1
Inputs
#s(alt (log.f64 (/.f64 x (log.f64 x))) (patch (log.f64 (/.f64 x (log.f64 x))) #<representation binary64>) () ())
#s(alt (/.f64 x (log.f64 x)) (patch (/.f64 x (log.f64 x)) #<representation binary64>) () ())
#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())
Outputs
#s(alt (+ (log x) (log (/ 1 (log x)))) (taylor 0 x) (#s(alt (log.f64 (/.f64 x (log.f64 x))) (patch (log.f64 (/.f64 x (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (log x) (log (/ 1 (log x)))) (taylor 0 x) (#s(alt (log.f64 (/.f64 x (log.f64 x))) (patch (log.f64 (/.f64 x (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (log x) (log (/ 1 (log x)))) (taylor 0 x) (#s(alt (log.f64 (/.f64 x (log.f64 x))) (patch (log.f64 (/.f64 x (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (log x) (log (/ 1 (log x)))) (taylor 0 x) (#s(alt (log.f64 (/.f64 x (log.f64 x))) (patch (log.f64 (/.f64 x (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (log (/ -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))) (taylor inf x) (#s(alt (log.f64 (/.f64 x (log.f64 x))) (patch (log.f64 (/.f64 x (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (log (/ -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))) (taylor inf x) (#s(alt (log.f64 (/.f64 x (log.f64 x))) (patch (log.f64 (/.f64 x (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (log (/ -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))) (taylor inf x) (#s(alt (log.f64 (/.f64 x (log.f64 x))) (patch (log.f64 (/.f64 x (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (log (/ -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))) (taylor inf x) (#s(alt (log.f64 (/.f64 x (log.f64 x))) (patch (log.f64 (/.f64 x (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (log (/ -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f64 (/.f64 x (log.f64 x))) (patch (log.f64 (/.f64 x (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (log (/ -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f64 (/.f64 x (log.f64 x))) (patch (log.f64 (/.f64 x (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (log (/ -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f64 (/.f64 x (log.f64 x))) (patch (log.f64 (/.f64 x (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (log (/ -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f64 (/.f64 x (log.f64 x))) (patch (log.f64 (/.f64 x (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ x (log x)) (taylor 0 x) (#s(alt (/.f64 x (log.f64 x)) (patch (/.f64 x (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ x (log x)) (taylor 0 x) (#s(alt (/.f64 x (log.f64 x)) (patch (/.f64 x (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ x (log x)) (taylor 0 x) (#s(alt (/.f64 x (log.f64 x)) (patch (/.f64 x (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ x (log x)) (taylor 0 x) (#s(alt (/.f64 x (log.f64 x)) (patch (/.f64 x (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x (log (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 x (log.f64 x)) (patch (/.f64 x (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x (log (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 x (log.f64 x)) (patch (/.f64 x (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x (log (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 x (log.f64 x)) (patch (/.f64 x (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x (log (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 x (log.f64 x)) (patch (/.f64 x (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ x (+ (log -1) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (/.f64 x (log.f64 x)) (patch (/.f64 x (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ x (+ (log -1) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (/.f64 x (log.f64 x)) (patch (/.f64 x (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ x (+ (log -1) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (/.f64 x (log.f64 x)) (patch (/.f64 x (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ x (+ (log -1) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (/.f64 x (log.f64 x)) (patch (/.f64 x (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (log x) (taylor 0 x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (log x) (taylor 0 x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (log x) (taylor 0 x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (log x) (taylor 0 x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 x))) (taylor inf x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 x))) (taylor inf x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 x))) (taylor inf x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 x))) (taylor inf x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
228.0ms
x
@-inf
(log (/ x (log x)))
22.0ms
x
@inf
(log (/ x (log x)))
14.0ms
x
@0
(log (/ x (log x)))
0.0ms
x
@0
(/ x (log x))
0.0ms
x
@-inf
(/ x (log x))

simplify41.0ms (1%)

Memory
-1.4MiB live, 35.2MiB allocated
Algorithm
egg-herbie
Rules
352×lower-fma.f64
352×lower-fma.f32
256×lower-*.f64
256×lower-*.f32
136×lower-+.f64
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
025244
142220
265220
3150220
4321220
5501220
6672204
7842200
8881200
9892200
10893200
0893200
Stop Event
iter limit
saturated
Counts
36 → 36
Calls
Call 1
Inputs
(+ (log x) (log (/ 1 (log x))))
(+ (log x) (log (/ 1 (log x))))
(+ (log x) (log (/ 1 (log x))))
(+ (log x) (log (/ 1 (log x))))
(+ (log (/ -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))
(+ (log (/ -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))
(+ (log (/ -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))
(+ (log (/ -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))
(+ (log (/ -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))
(+ (log (/ -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))
(+ (log (/ -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))
(+ (log (/ -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))
(/ x (log x))
(/ x (log x))
(/ x (log x))
(/ x (log x))
(* -1 (/ x (log (/ 1 x))))
(* -1 (/ x (log (/ 1 x))))
(* -1 (/ x (log (/ 1 x))))
(* -1 (/ x (log (/ 1 x))))
(/ x (+ (log -1) (* -1 (log (/ -1 x)))))
(/ x (+ (log -1) (* -1 (log (/ -1 x)))))
(/ x (+ (log -1) (* -1 (log (/ -1 x)))))
(/ x (+ (log -1) (* -1 (log (/ -1 x)))))
(log x)
(log x)
(log x)
(log x)
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
Outputs
(+ (log x) (log (/ 1 (log x))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(+ (log x) (log (/ 1 (log x))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(+ (log x) (log (/ 1 (log x))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(+ (log x) (log (/ 1 (log x))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(+ (log (/ -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(+ (log (/ -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(+ (log (/ -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(+ (log (/ -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(+ (log (/ -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 (neg.f64 x)) (log.f64 (-.f64 (neg.f64 (log.f64 (neg.f64 x))) (log.f64 #s(literal -1 binary64)))))
(+ (log (/ -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 (neg.f64 x)) (log.f64 (-.f64 (neg.f64 (log.f64 (neg.f64 x))) (log.f64 #s(literal -1 binary64)))))
(+ (log (/ -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 (neg.f64 x)) (log.f64 (-.f64 (neg.f64 (log.f64 (neg.f64 x))) (log.f64 #s(literal -1 binary64)))))
(+ (log (/ -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 (neg.f64 x)) (log.f64 (-.f64 (neg.f64 (log.f64 (neg.f64 x))) (log.f64 #s(literal -1 binary64)))))
(/ x (log x))
(/.f64 x (log.f64 x))
(/ x (log x))
(/.f64 x (log.f64 x))
(/ x (log x))
(/.f64 x (log.f64 x))
(/ x (log x))
(/.f64 x (log.f64 x))
(* -1 (/ x (log (/ 1 x))))
(/.f64 x (log.f64 x))
(* -1 (/ x (log (/ 1 x))))
(/.f64 x (log.f64 x))
(* -1 (/ x (log (/ 1 x))))
(/.f64 x (log.f64 x))
(* -1 (/ x (log (/ 1 x))))
(/.f64 x (log.f64 x))
(/ x (+ (log -1) (* -1 (log (/ -1 x)))))
(/.f64 x (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 x))))
(/ x (+ (log -1) (* -1 (log (/ -1 x)))))
(/.f64 x (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 x))))
(/ x (+ (log -1) (* -1 (log (/ -1 x)))))
(/.f64 x (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 x))))
(/ x (+ (log -1) (* -1 (log (/ -1 x)))))
(/.f64 x (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 x))))
(log x)
(log.f64 x)
(log x)
(log.f64 x)
(log x)
(log.f64 x)
(log x)
(log.f64 x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(+ (log -1) (* -1 (log (/ -1 x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 x)))

rewrite257.0ms (6.1%)

Memory
20.2MiB live, 459.0MiB allocated
Algorithm
batch-egg-rewrite
Rules
3 778×lower-*.f64
3 778×lower-*.f32
3 560×lower-fma.f64
3 560×lower-fma.f32
2 150×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0411
0711
11711
27711
340711
4320011
01074711
Stop Event
iter limit
node limit
iter limit
Counts
3 → 668
Calls
Call 1
Inputs
(log.f64 (/.f64 x (log.f64 x)))
(/.f64 x (log.f64 x))
(log.f64 x)
Outputs
(log.f64 (*.f64 x (log.f64 x)))
(+.f64 (log.f64 x) (log.f64 (log.f64 x)))
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(+.f64 (log.f64 (log.f64 x)) (log.f64 x))
(+.f64 (log.f64 (log.f64 x)) (log.f64 (neg.f64 x)))
(+.f64 (log.f64 (neg.f64 x)) (log.f64 (log.f64 x)))
(+.f64 (log.f64 (neg.f64 x)) (neg.f64 (log.f64 (log.f64 x))))
(+.f64 #s(literal 0 binary64) (log.f64 (*.f64 x (log.f64 x))))
(+.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 0 binary64))
(+.f64 (log.f64 (*.f64 x (log.f64 x))) (log.f64 #s(literal -1 binary64)))
(+.f64 (neg.f64 (log.f64 (log.f64 x))) (log.f64 x))
(+.f64 (neg.f64 (log.f64 (log.f64 x))) (log.f64 (neg.f64 x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (*.f64 x (log.f64 x))))
(+.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) (fma.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 x) #s(literal 2 binary64))))))
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(+.f64 (*.f64 (log.f64 (log.f64 x)) #s(literal -1/2 binary64)) (log.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal -1/2 binary64)) x)))
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(+.f64 (*.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal -1/2 binary64)) (log.f64 (neg.f64 (sqrt.f64 (*.f64 x (log.f64 x))))))
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(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x))))) (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 (*.f64 x (log.f64 x))))) (*.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal -1/2 binary64)))
(+.f64 (log.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 x) #s(literal -1/2 binary64)))) (*.f64 (log.f64 (log.f64 x)) #s(literal -1/2 binary64)))
(+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 x (log.f64 x))))) (*.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal -1/2 binary64)))
(+.f64 (log.f64 (/.f64 x (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (*.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))
(+.f64 (log.f64 (/.f64 x (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (log.f64 (log.f64 x)))
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(+.f64 (log.f64 (/.f64 (log.f64 x) (neg.f64 (*.f64 x (*.f64 x x))))) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(+.f64 (log.f64 (/.f64 (log.f64 x) (neg.f64 (*.f64 x x)))) (log.f64 x))
(+.f64 (log.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (log.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal -1/2 binary64)) x)))
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(+.f64 (log.f64 (/.f64 (neg.f64 x) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (*.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))
(+.f64 (log.f64 (/.f64 (neg.f64 x) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (log.f64 (log.f64 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 x (log.f64 x))))) #s(literal -1 binary64)))
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(-.f64 #s(literal 0 binary64) (log.f64 (*.f64 x (log.f64 x))))
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(-.f64 (log.f64 (*.f64 x (log.f64 x))) (*.f64 #s(literal 2 binary64) (log.f64 x)))
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(*.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal -1/2 binary64)) x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 x (pow.f64 (log.f64 x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (log.f64 x) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (neg.f64 x) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 (neg.f64 x) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (log.f64 x))
(*.f64 (pow.f64 (pow.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 x (pow.f64 (log.f64 x) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (log.f64 x) (neg.f64 (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) (*.f64 x x))
(*.f64 (pow.f64 (/.f64 (log.f64 x) (neg.f64 (*.f64 x x))) #s(literal -1 binary64)) x)
(*.f64 (pow.f64 (pow.f64 (neg.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 x)))
(*.f64 (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 x (log.f64 x)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (*.f64 x (log.f64 x)))) #s(literal -1 binary64)) (sqrt.f64 (*.f64 x (log.f64 x))))
(*.f64 (pow.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 x) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (log.f64 x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 x (log.f64 x)))) #s(literal -1 binary64)) (sqrt.f64 (*.f64 x (log.f64 x))))
(*.f64 (pow.f64 (/.f64 x (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (log.f64 x) #s(literal -2 binary64)))
(*.f64 (pow.f64 (/.f64 x (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 x)))
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (*.f64 x (log.f64 x)))
(*.f64 (exp.f64 (log.f64 (neg.f64 x))) (log.f64 x))
(*.f64 (exp.f64 (log.f64 (neg.f64 x))) (/.f64 #s(literal 1 binary64) (log.f64 x)))
(*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal -1 binary64)))) (*.f64 x (log.f64 x)))
(*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))) (exp.f64 (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) (fma.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 x) #s(literal 2 binary64))))))
(*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))))) (exp.f64 (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x))))))
(*.f64 (exp.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) (exp.f64 (neg.f64 (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) (fma.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))))
(*.f64 (exp.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x))))) (exp.f64 (neg.f64 (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))))))
(log.f64 x)
(+.f64 (log.f64 x) #s(literal 0 binary64))
(+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (log.f64 x))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 x)))
(+.f64 (log.f64 (pow.f64 x #s(literal -1/2 binary64))) (log.f64 (pow.f64 x #s(literal -1/2 binary64))))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x x)))) (log.f64 x))
(+.f64 (log.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (log.f64 (log.f64 x)))
(exp.f64 (*.f64 (log.f64 (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (log.f64 x))) #s(literal -1 binary64)))
(-.f64 (log.f64 x) #s(literal 0 binary64))
(-.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (log.f64 x))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 x)))
(-.f64 (log.f64 (neg.f64 (*.f64 x (*.f64 x x)))) (log.f64 (neg.f64 (*.f64 x x))))
(-.f64 (log.f64 (neg.f64 (*.f64 x (*.f64 x x)))) (log.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x))))
(-.f64 (log.f64 (neg.f64 (*.f64 x x))) (log.f64 (neg.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log.f64 x))
(-.f64 (log.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(-.f64 (log.f64 (+.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (log.f64 (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) #s(literal 0 binary64)))))
(-.f64 (log.f64 (neg.f64 (neg.f64 (*.f64 x x)))) (log.f64 x))
(-.f64 (log.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x x)))) (log.f64 x))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x (*.f64 x x))))) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(fma.f64 (log.f64 x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (log.f64 x) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (log.f64 x) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (log.f64 x) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64)))
(fma.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 x)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 x) #s(literal 1/2 binary64)) (pow.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 x) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (pow.f64 (log.f64 x) #s(literal -1/2 binary64))) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (neg.f64 (pow.f64 (log.f64 x) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (log.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 x)) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (log.f64 x) #s(literal 0 binary64))
(neg.f64 (log.f64 x))
(/.f64 (log.f64 x) #s(literal 1 binary64))
(/.f64 (log.f64 x) #s(literal -1 binary64))
(/.f64 (log.f64 x) (exp.f64 (log.f64 #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) (pow.f64 (log.f64 x) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 x)))
(/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 x))
(/.f64 (pow.f64 (log.f64 x) #s(literal 1/2 binary64)) (pow.f64 (log.f64 x) #s(literal -1/2 binary64)))
(pow.f64 (log.f64 x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (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 (pow.f64 (log.f64 x) #s(literal -1/2 binary64)) #s(literal -2 binary64))
(pow.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (log.f64 x) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))
(*.f64 (log.f64 x) #s(literal 1 binary64))
(*.f64 (log.f64 x) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 x))
(*.f64 #s(literal -1 binary64) (log.f64 x))
(*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal -2 binary64)))
(*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 x)))
(*.f64 (pow.f64 (log.f64 x) #s(literal 1/2 binary64)) (pow.f64 (log.f64 x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (log.f64 x) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (pow.f64 (log.f64 x) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (neg.f64 (pow.f64 (log.f64 x) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (log.f64 x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (log.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 x)))
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (log.f64 x))

eval98.0ms (2.3%)

Memory
23.3MiB live, 137.1MiB allocated
Compiler

Compiled 15 676 to 1 670 computations (89.3% saved)

prune122.0ms (2.9%)

Memory
1.7MiB live, 200.9MiB allocated
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New7040704
Fresh000
Picked011
Done022
Total7043707
Accuracy
100.0%
Counts
707 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
100.0%
(log.f64 (/.f64 x (log.f64 x)))
25.0%
(log.f64 (*.f64 x (log.f64 x)))
Compiler

Compiled 604 to 109 computations (82% saved)

regimes20.0ms (0.5%)

Memory
1.0MiB live, 39.3MiB allocated
Counts
21 → 1
Calls
Call 1
Inputs
(log.f64 (*.f64 x (log.f64 x)))
(log.f64 (/.f64 x (log.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 x (log.f64 x)))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(-.f64 (exp.f64 (log.f64 (log.f64 x))) (log.f64 (log.f64 x)))
(-.f64 (log.f64 x) (exp.f64 (log.f64 (log.f64 (log.f64 x)))))
(-.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 1/2 binary64)) (pow.f64 (log.f64 x) #s(literal 1/2 binary64))) (log.f64 (log.f64 x)))
(-.f64 (log.f64 x) (*.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x)))))
(-.f64 (log.f64 x) (*.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 1/2 binary64))))
(-.f64 (log.f64 x) (*.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal 0 binary64)))))
(-.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 0 binary64))))) (log.f64 (log.f64 x)))
(-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))))
(/.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (neg.f64 (log.f64 (*.f64 x (log.f64 x)))) (*.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log.f64 (*.f64 x (log.f64 x)))) (*.f64 (neg.f64 (log.f64 (*.f64 x (log.f64 x)))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (log.f64 x)))))))
(-.f64 (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))) (/.f64 (*.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))) (log.f64 (*.f64 x (log.f64 x)))) (*.f64 (log.f64 (*.f64 x (log.f64 x))) (/.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (log.f64 x)))))) (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (log.f64 x)))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 6 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 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (log.f64 x)))))) (/.f64 (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 6 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 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (log.f64 x)))))))
(/.f64 (-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 3 binary64))) (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 6 binary64)) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x))))))))
(*.f64 (-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 3 binary64))) (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 6 binary64)) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))))))))
Outputs
(log.f64 (/.f64 x (log.f64 x)))
Calls

3 calls:

6.0ms
(log.f64 x)
6.0ms
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
6.0ms
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)

regimes5.0ms (0.1%)

Memory
-28.6MiB live, 11.0MiB allocated
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

3 calls:

2.0ms
(log.f64 x)
1.0ms
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
1.0ms
x
Results
AccuracySegmentsBranch
25.0%1x
25.0%1(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
25.0%1(log.f64 x)
Compiler

Compiled 12 to 7 computations (41.7% saved)

simplify5.0ms (0.1%)

Memory
12.3MiB live, 12.3MiB allocated
Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0610
1710
Stop Event
saturated
Calls
Call 1
Inputs
(log.f64 (/.f64 x (log.f64 x)))
(log.f64 (*.f64 x (log.f64 x)))
Outputs
(log.f64 (/.f64 x (log.f64 x)))
(log.f64 (*.f64 x (log.f64 x)))

soundness230.0ms (5.5%)

Memory
-64.9MiB live, 181.0MiB allocated
Rules
5 238×lower-fma.f64
5 238×lower-fma.f32
4 954×lower-fma.f64
4 954×lower-fma.f32
3 078×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024205
045137
1170133
21409117
09022117
0411
0710
12410
215010
3139910
0971510
Stop Event
done
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 47 to 25 computations (46.8% saved)

preprocess37.0ms (0.9%)

Memory
16.7MiB live, 57.4MiB allocated
Compiler

Compiled 36 to 20 computations (44.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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