Jmat.Real.lambertw, estimator

Time bar (total: 3.5s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze1.0ms (0%)

Memory
0.9MiB live, 0.9MiB 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)

sample740.0ms (21.3%)

Memory
6.0MiB live, 397.3MiB allocated
Samples
543.0ms8 256×0valid
1.0ms14×0invalid
Precisions
Click to see histograms. Total time spent on operations: 303.0ms
ival-log: 237.0ms (78.2% of total)
ival-sub: 57.0ms (18.8% of total)
ival-true: 6.0ms (2% of total)
ival-assert: 3.0ms (1% of total)
Bogosity

explain113.0ms (3.2%)

Memory
-19.3MiB live, 96.4MiB 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
29.0ms512×0valid
Compiler

Compiled 34 to 16 computations (52.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-log: 16.0ms (84.8% of total)
ival-sub: 2.0ms (10.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess17.0ms (0.5%)

Memory
25.5MiB live, 25.5MiB 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)))
Compiler

Compiled 6 to 4 computations (33.3% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify33.0ms (0.9%)

Memory
-33.6MiB live, 8.5MiB 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))

localize16.0ms (0.5%)

Memory
13.8MiB live, 13.8MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(log.f64 x)
accuracy0.04296875
(log.f64 (log.f64 x))
accuracy0.28515625
(-.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 (81.9% of total)
ival-sub: 1.0ms (13.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series209.0ms (6%)

Memory
1.4MiB live, 160.1MiB 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 (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 (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 (- (* -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 (* -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 (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 -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 -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 -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

3 calls:

TimeVariablePointExpression
85.0ms
x
@0
((- (log x) (log (log x))) (log x) (log (log x)))
83.0ms
x
@-inf
((- (log x) (log (log x))) (log x) (log (log x)))
40.0ms
x
@inf
((- (log x) (log (log x))) (log x) (log (log x)))

simplify15.0ms (0.4%)

Memory
9.7MiB live, 9.7MiB 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)))
(log x)
(log x)
(log x)
(log x)
(log (log x))
(log (log x))
(log (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)))))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(log (* -1 (log (/ 1 x))))
(log (* -1 (log (/ 1 x))))
(log (* -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 -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 -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)))
(log x)
(log.f64 x)
(log x)
(log.f64 x)
(log x)
(log.f64 x)
(log x)
(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 (log x))
(log.f64 (log.f64 x))
(- (* -1 (log (/ 1 x))) (log (* -1 (log (/ 1 x)))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(- (* -1 (log (/ 1 x))) (log (* -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.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 (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 -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 -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 -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))))

rewrite165.0ms (4.7%)

Memory
-14.3MiB live, 218.7MiB allocated
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
(*.f64 (pow.f64 (pow.f64 (log.f64 (*.f64 (log.f64 x) x)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (log.f64 (*.f64 (log.f64 x) x)) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (log.f64 (/.f64 (log.f64 x) x)) (log.f64 (log.f64 x)) (pow.f64 (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)) (pow.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (log.f64 (/.f64 (log.f64 x) x)) (log.f64 (log.f64 x)) (pow.f64 (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)) (pow.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (-.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 6 binary64)) (pow.f64 (*.f64 (log.f64 (log.f64 x)) (log.f64 x)) #s(literal 3 binary64)))) #s(literal -1 binary64)))
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(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (log.f64 x))))
(-.f64 #s(literal 0 binary64) (log.f64 (log.f64 x)))
(exp.f64 (*.f64 (log.f64 (log.f64 (log.f64 x))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (log.f64 x))))
(+.f64 #s(literal 0 binary64) (log.f64 (log.f64 x)))
(log.f64 (log.f64 x))

eval38.0ms (1.1%)

Memory
22.6MiB live, 104.8MiB allocated
Compiler

Compiled 9 051 to 704 computations (92.2% saved)

prune7.0ms (0.2%)

Memory
-13.3MiB live, 25.3MiB allocated
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New3212323
Fresh000
Picked011
Done000
Total3213324
Accuracy
100.0%
Counts
324 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
100.0%
(neg.f64 (log.f64 (/.f64 (log.f64 x) x)))
24.7%
(log.f64 (*.f64 (log.f64 x) x))
Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify4.0ms (0.1%)

Memory
11.3MiB live, 11.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log.f64 x)
cost-diff0
(/.f64 (log.f64 x) x)
cost-diff0
(log.f64 (/.f64 (log.f64 x) x))
cost-diff0
(neg.f64 (log.f64 (/.f64 (log.f64 x) x)))
cost-diff0
(log.f64 x)
cost-diff0
(*.f64 (log.f64 x) x)
cost-diff0
(log.f64 (*.f64 (log.f64 x) x))
Rules
lower-+.f64
lower-*.f32
lower-+.f32
lower-*.f64
sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0730
01330
11830
22030
32230
42430
52830
63330
03330
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(log.f64 (*.f64 (log.f64 x) x))
(*.f64 (log.f64 x) x)
(log.f64 x)
x
(neg.f64 (log.f64 (/.f64 (log.f64 x) x)))
(log.f64 (/.f64 (log.f64 x) x))
(/.f64 (log.f64 x) x)
(log.f64 x)
x
Outputs
(log.f64 (*.f64 (log.f64 x) x))
(*.f64 (log.f64 x) x)
(log.f64 x)
x
(neg.f64 (log.f64 (/.f64 (log.f64 x) x)))
(log.f64 (/.f64 (log.f64 x) x))
(/.f64 (log.f64 x) x)
(log.f64 x)
x

localize28.0ms (0.8%)

Memory
-8.3MiB live, 69.8MiB allocated
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
accuracy0
(neg.f64 (log.f64 (/.f64 (log.f64 x) x)))
accuracy0
(log.f64 x)
accuracy0.00390625
(log.f64 (/.f64 (log.f64 x) x))
accuracy0.3046875
(/.f64 (log.f64 x) x)
accuracy0
(log.f64 x)
accuracy0.265625
(*.f64 (log.f64 x) x)
accuracy0.9724485108416072
(log.f64 (*.f64 (log.f64 x) x))
Samples
21.0ms256×0valid
Compiler

Compiled 32 to 9 computations (71.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-log: 9.0ms (62.8% of total)
ival-div: 2.0ms (14% of total)
ival-mult: 2.0ms (14% of total)
ival-neg: 2.0ms (14% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series191.0ms (5.5%)

Memory
-5.7MiB live, 218.5MiB allocated
Counts
6 → 72
Calls
Call 1
Inputs
#s(alt (log.f64 (*.f64 (log.f64 x) x)) (patch (log.f64 (*.f64 (log.f64 x) x)) #<representation binary64>) () ())
#s(alt (*.f64 (log.f64 x) x) (patch (*.f64 (log.f64 x) x) #<representation binary64>) () ())
#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())
#s(alt (neg.f64 (log.f64 (/.f64 (log.f64 x) x))) (patch (neg.f64 (log.f64 (/.f64 (log.f64 x) x))) #<representation binary64>) () ())
#s(alt (log.f64 (/.f64 (log.f64 x) x)) (patch (log.f64 (/.f64 (log.f64 x) x)) #<representation binary64>) () ())
#s(alt (/.f64 (log.f64 x) x) (patch (/.f64 (log.f64 x) x) #<representation binary64>) () ())
Outputs
#s(alt (+ (log x) (log (log x))) (taylor 0 x) (#s(alt (log.f64 (*.f64 (log.f64 x) x)) (patch (log.f64 (*.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log x) (log (log x))) (taylor 0 x) (#s(alt (log.f64 (*.f64 (log.f64 x) x)) (patch (log.f64 (*.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log x) (log (log x))) (taylor 0 x) (#s(alt (log.f64 (*.f64 (log.f64 x) x)) (patch (log.f64 (*.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log x) (log (log x))) (taylor 0 x) (#s(alt (log.f64 (*.f64 (log.f64 x) x)) (patch (log.f64 (*.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (* x (log x)) (taylor 0 x) (#s(alt (*.f64 (log.f64 x) x) (patch (*.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* x (log x)) (taylor 0 x) (#s(alt (*.f64 (log.f64 x) x) (patch (*.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* x (log x)) (taylor 0 x) (#s(alt (*.f64 (log.f64 x) x) (patch (*.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* x (log x)) (taylor 0 x) (#s(alt (*.f64 (log.f64 x) x) (patch (*.f64 (log.f64 x) 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 (log x)) (* -1 (log x)))) (taylor 0 x) (#s(alt (neg.f64 (log.f64 (/.f64 (log.f64 x) x))) (patch (neg.f64 (log.f64 (/.f64 (log.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ (log (log x)) (* -1 (log x)))) (taylor 0 x) (#s(alt (neg.f64 (log.f64 (/.f64 (log.f64 x) x))) (patch (neg.f64 (log.f64 (/.f64 (log.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ (log (log x)) (* -1 (log x)))) (taylor 0 x) (#s(alt (neg.f64 (log.f64 (/.f64 (log.f64 x) x))) (patch (neg.f64 (log.f64 (/.f64 (log.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ (log (log x)) (* -1 (log x)))) (taylor 0 x) (#s(alt (neg.f64 (log.f64 (/.f64 (log.f64 x) x))) (patch (neg.f64 (log.f64 (/.f64 (log.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (+ (log (log x)) (* -1 (log x))) (taylor 0 x) (#s(alt (log.f64 (/.f64 (log.f64 x) x)) (patch (log.f64 (/.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (log x)) (* -1 (log x))) (taylor 0 x) (#s(alt (log.f64 (/.f64 (log.f64 x) x)) (patch (log.f64 (/.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (log x)) (* -1 (log x))) (taylor 0 x) (#s(alt (log.f64 (/.f64 (log.f64 x) x)) (patch (log.f64 (/.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (log x)) (* -1 (log x))) (taylor 0 x) (#s(alt (log.f64 (/.f64 (log.f64 x) x)) (patch (log.f64 (/.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (/ (log x) x) (taylor 0 x) (#s(alt (/.f64 (log.f64 x) x) (patch (/.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (/ (log x) x) (taylor 0 x) (#s(alt (/.f64 (log.f64 x) x) (patch (/.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (/ (log x) x) (taylor 0 x) (#s(alt (/.f64 (log.f64 x) x) (patch (/.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (/ (log x) x) (taylor 0 x) (#s(alt (/.f64 (log.f64 x) x) (patch (/.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))) (taylor inf x) (#s(alt (log.f64 (*.f64 (log.f64 x) x)) (patch (log.f64 (*.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))) (taylor inf x) (#s(alt (log.f64 (*.f64 (log.f64 x) x)) (patch (log.f64 (*.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))) (taylor inf x) (#s(alt (log.f64 (*.f64 (log.f64 x) x)) (patch (log.f64 (*.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))) (taylor inf x) (#s(alt (log.f64 (*.f64 (log.f64 x) x)) (patch (log.f64 (*.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (log (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 (log.f64 x) x) (patch (*.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (log (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 (log.f64 x) x) (patch (*.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (log (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 (log.f64 x) x) (patch (*.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (log (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 (log.f64 x) x) (patch (*.f64 (log.f64 x) 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 (* -1 (+ (log (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (taylor inf x) (#s(alt (neg.f64 (log.f64 (/.f64 (log.f64 x) x))) (patch (neg.f64 (log.f64 (/.f64 (log.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ (log (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (taylor inf x) (#s(alt (neg.f64 (log.f64 (/.f64 (log.f64 x) x))) (patch (neg.f64 (log.f64 (/.f64 (log.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ (log (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (taylor inf x) (#s(alt (neg.f64 (log.f64 (/.f64 (log.f64 x) x))) (patch (neg.f64 (log.f64 (/.f64 (log.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ (log (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (taylor inf x) (#s(alt (neg.f64 (log.f64 (/.f64 (log.f64 x) x))) (patch (neg.f64 (log.f64 (/.f64 (log.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (+ (log (* -1 (log (/ 1 x)))) (log (/ 1 x))) (taylor inf x) (#s(alt (log.f64 (/.f64 (log.f64 x) x)) (patch (log.f64 (/.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* -1 (log (/ 1 x)))) (log (/ 1 x))) (taylor inf x) (#s(alt (log.f64 (/.f64 (log.f64 x) x)) (patch (log.f64 (/.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* -1 (log (/ 1 x)))) (log (/ 1 x))) (taylor inf x) (#s(alt (log.f64 (/.f64 (log.f64 x) x)) (patch (log.f64 (/.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* -1 (log (/ 1 x)))) (log (/ 1 x))) (taylor inf x) (#s(alt (log.f64 (/.f64 (log.f64 x) x)) (patch (log.f64 (/.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (log (/ 1 x)) x)) (taylor inf x) (#s(alt (/.f64 (log.f64 x) x) (patch (/.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (log (/ 1 x)) x)) (taylor inf x) (#s(alt (/.f64 (log.f64 x) x) (patch (/.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (log (/ 1 x)) x)) (taylor inf x) (#s(alt (/.f64 (log.f64 x) x) (patch (/.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (log (/ 1 x)) x)) (taylor inf x) (#s(alt (/.f64 (log.f64 x) x) (patch (/.f64 (log.f64 x) 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 (log.f64 x) x)) (patch (log.f64 (*.f64 (log.f64 x) 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 (log.f64 x) x)) (patch (log.f64 (*.f64 (log.f64 x) 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 (log.f64 x) x)) (patch (log.f64 (*.f64 (log.f64 x) 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 (log.f64 x) x)) (patch (log.f64 (*.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (log -1) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (*.f64 (log.f64 x) x) (patch (*.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ (log -1) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (*.f64 (log.f64 x) x) (patch (*.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ (log -1) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (*.f64 (log.f64 x) x) (patch (*.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ (log -1) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (*.f64 (log.f64 x) x) (patch (*.f64 (log.f64 x) 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 (* -1 (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (log (/ -1 x)))) (taylor -inf x) (#s(alt (neg.f64 (log.f64 (/.f64 (log.f64 x) x))) (patch (neg.f64 (log.f64 (/.f64 (log.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (log (/ -1 x)))) (taylor -inf x) (#s(alt (neg.f64 (log.f64 (/.f64 (log.f64 x) x))) (patch (neg.f64 (log.f64 (/.f64 (log.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (log (/ -1 x)))) (taylor -inf x) (#s(alt (neg.f64 (log.f64 (/.f64 (log.f64 x) x))) (patch (neg.f64 (log.f64 (/.f64 (log.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (log (/ -1 x)))) (taylor -inf x) (#s(alt (neg.f64 (log.f64 (/.f64 (log.f64 x) x))) (patch (neg.f64 (log.f64 (/.f64 (log.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (log (/ -1 x))) (taylor -inf x) (#s(alt (log.f64 (/.f64 (log.f64 x) x)) (patch (log.f64 (/.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (log (/ -1 x))) (taylor -inf x) (#s(alt (log.f64 (/.f64 (log.f64 x) x)) (patch (log.f64 (/.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (log (/ -1 x))) (taylor -inf x) (#s(alt (log.f64 (/.f64 (log.f64 x) x)) (patch (log.f64 (/.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (log (/ -1 x))) (taylor -inf x) (#s(alt (log.f64 (/.f64 (log.f64 x) x)) (patch (log.f64 (/.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (log -1) (* -1 (log (/ -1 x)))) x) (taylor -inf x) (#s(alt (/.f64 (log.f64 x) x) (patch (/.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ (log -1) (* -1 (log (/ -1 x)))) x) (taylor -inf x) (#s(alt (/.f64 (log.f64 x) x) (patch (/.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ (log -1) (* -1 (log (/ -1 x)))) x) (taylor -inf x) (#s(alt (/.f64 (log.f64 x) x) (patch (/.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ (log -1) (* -1 (log (/ -1 x)))) x) (taylor -inf x) (#s(alt (/.f64 (log.f64 x) x) (patch (/.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
135.0ms
x
@-inf
((log (* (log x) x)) (* (log x) x) (log x) (neg (log (/ (log x) x))) (log (/ (log x) x)) (/ (log x) x))
31.0ms
x
@0
((log (* (log x) x)) (* (log x) x) (log x) (neg (log (/ (log x) x))) (log (/ (log x) x)) (/ (log x) x))
24.0ms
x
@inf
((log (* (log x) x)) (* (log x) x) (log x) (neg (log (/ (log x) x))) (log (/ (log x) x)) (/ (log x) x))

simplify37.0ms (1.1%)

Memory
-2.6MiB live, 36.7MiB allocated
Algorithm
egg-herbie
Rules
736×lower-fma.f64
736×lower-fma.f32
448×lower-*.f64
448×lower-*.f32
240×div-sub
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
034548
196504
2172484
3311484
4602484
5937484
61428456
71600456
81611456
01611456
Stop Event
iter limit
saturated
Counts
72 → 72
Calls
Call 1
Inputs
(+ (log x) (log (log x)))
(+ (log x) (log (log x)))
(+ (log x) (log (log x)))
(+ (log x) (log (log x)))
(* x (log x))
(* x (log x))
(* x (log x))
(* x (log x))
(log x)
(log x)
(log x)
(log x)
(* -1 (+ (log (log x)) (* -1 (log x))))
(* -1 (+ (log (log x)) (* -1 (log x))))
(* -1 (+ (log (log x)) (* -1 (log x))))
(* -1 (+ (log (log x)) (* -1 (log x))))
(+ (log (log x)) (* -1 (log x)))
(+ (log (log x)) (* -1 (log x)))
(+ (log (log x)) (* -1 (log x)))
(+ (log (log x)) (* -1 (log x)))
(/ (log x) x)
(/ (log x) x)
(/ (log x) x)
(/ (log x) 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))))
(* -1 (* x (log (/ 1 x))))
(* -1 (* x (log (/ 1 x))))
(* -1 (* x (log (/ 1 x))))
(* -1 (* x (log (/ 1 x))))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (+ (log (* -1 (log (/ 1 x)))) (log (/ 1 x))))
(* -1 (+ (log (* -1 (log (/ 1 x)))) (log (/ 1 x))))
(* -1 (+ (log (* -1 (log (/ 1 x)))) (log (/ 1 x))))
(* -1 (+ (log (* -1 (log (/ 1 x)))) (log (/ 1 x))))
(+ (log (* -1 (log (/ 1 x)))) (log (/ 1 x)))
(+ (log (* -1 (log (/ 1 x)))) (log (/ 1 x)))
(+ (log (* -1 (log (/ 1 x)))) (log (/ 1 x)))
(+ (log (* -1 (log (/ 1 x)))) (log (/ 1 x)))
(* -1 (/ (log (/ 1 x)) x))
(* -1 (/ (log (/ 1 x)) x))
(* -1 (/ (log (/ 1 x)) x))
(* -1 (/ (log (/ 1 x)) 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 -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 -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(* -1 (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (log (/ -1 x))))
(* -1 (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (log (/ -1 x))))
(* -1 (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (log (/ -1 x))))
(* -1 (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (log (/ -1 x))))
(+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (log (/ -1 x)))
(+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (log (/ -1 x)))
(+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (log (/ -1 x)))
(+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (log (/ -1 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)))) x)
Outputs
(+ (log x) (log (log x)))
(+.f64 (log.f64 (log.f64 x)) (log.f64 x))
(+ (log x) (log (log x)))
(+.f64 (log.f64 (log.f64 x)) (log.f64 x))
(+ (log x) (log (log x)))
(+.f64 (log.f64 (log.f64 x)) (log.f64 x))
(+ (log x) (log (log x)))
(+.f64 (log.f64 (log.f64 x)) (log.f64 x))
(* x (log x))
(*.f64 (log.f64 x) x)
(* x (log x))
(*.f64 (log.f64 x) x)
(* x (log x))
(*.f64 (log.f64 x) x)
(* x (log x))
(*.f64 (log.f64 x) x)
(log x)
(log.f64 x)
(log x)
(log.f64 x)
(log x)
(log.f64 x)
(log x)
(log.f64 x)
(* -1 (+ (log (log x)) (* -1 (log x))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(* -1 (+ (log (log x)) (* -1 (log x))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(* -1 (+ (log (log x)) (* -1 (log x))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(* -1 (+ (log (log x)) (* -1 (log x))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(+ (log (log x)) (* -1 (log x)))
(-.f64 (log.f64 (log.f64 x)) (log.f64 x))
(+ (log (log x)) (* -1 (log x)))
(-.f64 (log.f64 (log.f64 x)) (log.f64 x))
(+ (log (log x)) (* -1 (log x)))
(-.f64 (log.f64 (log.f64 x)) (log.f64 x))
(+ (log (log x)) (* -1 (log x)))
(-.f64 (log.f64 (log.f64 x)) (log.f64 x))
(/ (log x) x)
(/.f64 (log.f64 x) x)
(/ (log x) x)
(/.f64 (log.f64 x) x)
(/ (log x) x)
(/.f64 (log.f64 x) x)
(/ (log x) x)
(/.f64 (log.f64 x) x)
(+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 (log.f64 x)) (log.f64 x))
(+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 (log.f64 x)) (log.f64 x))
(+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 (log.f64 x)) (log.f64 x))
(+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 (log.f64 x)) (log.f64 x))
(* -1 (* x (log (/ 1 x))))
(*.f64 (log.f64 x) x)
(* -1 (* x (log (/ 1 x))))
(*.f64 (log.f64 x) x)
(* -1 (* x (log (/ 1 x))))
(*.f64 (log.f64 x) x)
(* -1 (* x (log (/ 1 x))))
(*.f64 (log.f64 x) 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)
(* -1 (+ (log (* -1 (log (/ 1 x)))) (log (/ 1 x))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(* -1 (+ (log (* -1 (log (/ 1 x)))) (log (/ 1 x))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(* -1 (+ (log (* -1 (log (/ 1 x)))) (log (/ 1 x))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(* -1 (+ (log (* -1 (log (/ 1 x)))) (log (/ 1 x))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(+ (log (* -1 (log (/ 1 x)))) (log (/ 1 x)))
(-.f64 (log.f64 (log.f64 x)) (log.f64 x))
(+ (log (* -1 (log (/ 1 x)))) (log (/ 1 x)))
(-.f64 (log.f64 (log.f64 x)) (log.f64 x))
(+ (log (* -1 (log (/ 1 x)))) (log (/ 1 x)))
(-.f64 (log.f64 (log.f64 x)) (log.f64 x))
(+ (log (* -1 (log (/ 1 x)))) (log (/ 1 x)))
(-.f64 (log.f64 (log.f64 x)) (log.f64 x))
(* -1 (/ (log (/ 1 x)) x))
(/.f64 (log.f64 x) x)
(* -1 (/ (log (/ 1 x)) x))
(/.f64 (log.f64 x) x)
(* -1 (/ (log (/ 1 x)) x))
(/.f64 (log.f64 x) x)
(* -1 (/ (log (/ 1 x)) x))
(/.f64 (log.f64 x) x)
(+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))
(+.f64 (log.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64)))) (log.f64 (neg.f64 x)))
(+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))
(+.f64 (log.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64)))) (log.f64 (neg.f64 x)))
(+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))
(+.f64 (log.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64)))) (log.f64 (neg.f64 x)))
(+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))
(+.f64 (log.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64)))) (log.f64 (neg.f64 x)))
(* x (+ (log -1) (* -1 (log (/ -1 x)))))
(*.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64))) x)
(* x (+ (log -1) (* -1 (log (/ -1 x)))))
(*.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64))) x)
(* x (+ (log -1) (* -1 (log (/ -1 x)))))
(*.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64))) x)
(* x (+ (log -1) (* -1 (log (/ -1 x)))))
(*.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64))) x)
(+ (log -1) (* -1 (log (/ -1 x))))
(+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64)))
(* -1 (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (log (/ -1 x))))
(-.f64 (log.f64 (neg.f64 x)) (log.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64)))))
(* -1 (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (log (/ -1 x))))
(-.f64 (log.f64 (neg.f64 x)) (log.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64)))))
(* -1 (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (log (/ -1 x))))
(-.f64 (log.f64 (neg.f64 x)) (log.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64)))))
(* -1 (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (log (/ -1 x))))
(-.f64 (log.f64 (neg.f64 x)) (log.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64)))))
(+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (log (/ -1 x)))
(-.f64 (log.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64)))) (log.f64 (neg.f64 x)))
(+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (log (/ -1 x)))
(-.f64 (log.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64)))) (log.f64 (neg.f64 x)))
(+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (log (/ -1 x)))
(-.f64 (log.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64)))) (log.f64 (neg.f64 x)))
(+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (log (/ -1 x)))
(-.f64 (log.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64)))) (log.f64 (neg.f64 x)))
(/ (+ (log -1) (* -1 (log (/ -1 x)))) x)
(/.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64))) x)
(/ (+ (log -1) (* -1 (log (/ -1 x)))) x)
(/.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64))) x)
(/ (+ (log -1) (* -1 (log (/ -1 x)))) x)
(/.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64))) x)
(/ (+ (log -1) (* -1 (log (/ -1 x)))) x)
(/.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64))) x)

rewrite224.0ms (6.4%)

Memory
-21.9MiB live, 255.5MiB allocated
Rules
3 776×lower-*.f32
3 774×lower-*.f64
3 614×lower-fma.f64
3 614×lower-fma.f32
3 226×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0726
01326
13125
211825
377825
4787325
0889925
Stop Event
iter limit
node limit
iter limit
Counts
6 → 945
Calls
Call 1
Inputs
(log.f64 (*.f64 (log.f64 x) x))
(*.f64 (log.f64 x) x)
(log.f64 x)
(neg.f64 (log.f64 (/.f64 (log.f64 x) x)))
(log.f64 (/.f64 (log.f64 x) x))
(/.f64 (log.f64 x) x)
Outputs
(*.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))) (pow.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal 2 binary64))) (log.f64 (/.f64 x (log.f64 x))))
(*.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))) (pow.f64 (log.f64 (/.f64 (log.f64 x) x)) #s(literal 3 binary64))) (neg.f64 (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)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 (*.f64 (log.f64 x) x)) (log.f64 x) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 (neg.f64 (log.f64 x))) #s(literal 3 binary64)) (pow.f64 (log.f64 (neg.f64 x)) #s(literal 3 binary64)))) (fma.f64 (log.f64 (neg.f64 x)) (log.f64 (*.f64 (log.f64 x) x)) (pow.f64 (log.f64 (neg.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 (log.f64 x)) #s(literal 4 binary64)) (pow.f64 (*.f64 (log.f64 (/.f64 x (log.f64 x))) (log.f64 x)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (*.f64 (log.f64 (/.f64 x (log.f64 x))) (log.f64 x))))
(*.f64 (/.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (log.f64 (/.f64 x (log.f64 x))) (log.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 6 binary64)))) (fma.f64 (*.f64 (log.f64 (/.f64 x (log.f64 x))) (log.f64 x)) (-.f64 (*.f64 (log.f64 (/.f64 x (log.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 4 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))) (neg.f64 (log.f64 (*.f64 (log.f64 x) x))))
(*.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (neg.f64 (-.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (log.f64 (*.f64 (log.f64 x) x)) (log.f64 x) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal 2 binary64))) (log.f64 (/.f64 (log.f64 x) x)))
(*.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (log.f64 (/.f64 (log.f64 x) x)) #s(literal 3 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)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (log.f64 x)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (neg.f64 (log.f64 (*.f64 (log.f64 x) x))))
(*.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))) (neg.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal 2 binary64)))) (log.f64 (/.f64 (log.f64 x) x)))
(*.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))) (pow.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal 3 binary64))) (pow.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal 2 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (log.f64 (/.f64 (log.f64 x) x)) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (neg.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal 2 binary64)))) (log.f64 (/.f64 x (log.f64 x))))
(*.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal 3 binary64))) (neg.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (log.f64 (*.f64 (log.f64 x) x)) (fma.f64 (log.f64 (*.f64 (log.f64 x) x)) (log.f64 x) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))) #s(literal 1 binary64))) (fma.f64 (log.f64 (*.f64 (log.f64 x) x)) (log.f64 x) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))))
(*.f64 (*.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)))) (pow.f64 (fma.f64 (log.f64 (log.f64 x)) (log.f64 (/.f64 (log.f64 x) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (log.f64 (*.f64 (log.f64 x) x)) (/.f64 (-.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64))))) (/.f64 (log.f64 (/.f64 (log.f64 x) x)) (fma.f64 (log.f64 (log.f64 x)) (log.f64 (/.f64 (log.f64 x) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(*.f64 (/.f64 (log.f64 (*.f64 (log.f64 x) x)) (-.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (/.f64 (log.f64 (/.f64 (log.f64 x) x)) (pow.f64 (fma.f64 (log.f64 (*.f64 (log.f64 x) x)) (log.f64 x) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (log.f64 (*.f64 (log.f64 x) x)) (log.f64 (/.f64 x (log.f64 x)))) (log.f64 (/.f64 x (log.f64 x))))
(*.f64 (/.f64 (log.f64 (*.f64 (log.f64 x) x)) (log.f64 (/.f64 (log.f64 x) x))) (log.f64 (/.f64 (log.f64 x) x)))
(*.f64 (*.f64 (/.f64 (log.f64 (*.f64 (log.f64 x) x)) (fma.f64 (log.f64 (*.f64 (log.f64 x) x)) (log.f64 x) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (fma.f64 (log.f64 (*.f64 (log.f64 x) x)) (log.f64 x) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))))
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(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 x (log.f64 x))) x) (*.f64 (neg.f64 x) (/.f64 x (log.f64 x))))
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(/.f64 (exp.f64 (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) (fma.f64 (log.f64 (*.f64 (log.f64 x) x)) (log.f64 x) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))))) (exp.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 (*.f64 (log.f64 x) x)) (log.f64 x) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))))))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (log.f64 (/.f64 (neg.f64 x) (log.f64 x)))))
(/.f64 (exp.f64 (log.f64 (neg.f64 (log.f64 x)))) (exp.f64 (log.f64 (neg.f64 x))))
(/.f64 (exp.f64 (log.f64 (log.f64 x))) x)
(/.f64 (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (neg.f64 x) (log.f64 x)))
(/.f64 (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)) (*.f64 (neg.f64 x) (pow.f64 (log.f64 x) #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (log.f64 x)))
(/.f64 (/.f64 (neg.f64 (log.f64 x)) x) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (log.f64 x)))
(/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (log.f64 x) #s(literal -1 binary64)))
(/.f64 (neg.f64 (log.f64 x)) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 x (log.f64 x)))
(/.f64 (/.f64 (log.f64 x) x) #s(literal 1 binary64))
(/.f64 (log.f64 x) x)
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) x))
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64) (/.f64 (log.f64 x) x))
(-.f64 (/.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 x)) (/.f64 (log.f64 (neg.f64 x)) (neg.f64 x)))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (log.f64 x)) x))
(exp.f64 (log.f64 (/.f64 (log.f64 x) x)))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64)) (/.f64 (log.f64 x) x))
(+.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) x))

eval202.0ms (5.8%)

Memory
7.0MiB live, 317.9MiB allocated
Compiler

Compiled 22 977 to 2 346 computations (89.8% saved)

prune27.0ms (0.8%)

Memory
9.7MiB live, 86.2MiB allocated
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1 06421 066
Fresh000
Picked112
Done101
Total1 06631 069
Accuracy
100.0%
Counts
1 069 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.6%
(neg.f64 (log.f64 (*.f64 (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) x)))
100.0%
(log.f64 (/.f64 x (log.f64 x)))
24.7%
(log.f64 (*.f64 (log.f64 x) x))
Compiler

Compiled 22 to 17 computations (22.7% saved)

simplify189.0ms (5.5%)

Memory
15.0MiB live, 210.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 (log.f64 x))
cost-diff0
(log.f64 (*.f64 (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) x))
cost-diff128
(neg.f64 (log.f64 (*.f64 (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) x)))
cost-diff1024
(*.f64 (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) x)
cost-diff0
(log.f64 x)
cost-diff0
(/.f64 x (log.f64 x))
cost-diff0
(log.f64 (/.f64 x (log.f64 x)))
Rules
16 224×lower-fma.f64
16 224×lower-fma.f32
2 852×lower-*.f32
2 848×lower-*.f64
1 710×lower-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01166
02159
13959
211245
334745
4115645
5264345
6364845
7485145
8514045
9541545
10583245
11787945
0803945
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(log.f64 (/.f64 x (log.f64 x)))
(/.f64 x (log.f64 x))
x
(log.f64 x)
(neg.f64 (log.f64 (*.f64 (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) x)))
(log.f64 (*.f64 (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) x))
(*.f64 (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) x)
(/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x)))
(neg.f64 (log.f64 x))
(log.f64 x)
x
(neg.f64 (*.f64 x x))
(*.f64 x x)
Outputs
(log.f64 (/.f64 x (log.f64 x)))
(/.f64 x (log.f64 x))
x
(log.f64 x)
(neg.f64 (log.f64 (*.f64 (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) x)))
(log.f64 (/.f64 x (log.f64 x)))
(log.f64 (*.f64 (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) x))
(log.f64 (/.f64 (log.f64 x) x))
(*.f64 (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) x)
(/.f64 (log.f64 x) x)
(/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x)))
(/.f64 (/.f64 (log.f64 x) x) x)
(neg.f64 (log.f64 x))
(log.f64 x)
x
(neg.f64 (*.f64 x x))
(*.f64 (neg.f64 x) x)
(*.f64 x x)

localize58.0ms (1.7%)

Memory
-13.1MiB live, 146.4MiB allocated
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
accuracy0
(log.f64 x)
accuracy0.00390625
(log.f64 (*.f64 (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) x))
accuracy0.8248000376004317
(/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x)))
accuracy29.075124380610426
(*.f64 (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) x)
accuracy0
(log.f64 x)
accuracy0.00390625
(log.f64 (/.f64 x (log.f64 x)))
accuracy0.24609375
(/.f64 x (log.f64 x))
Samples
45.0ms256×0valid
Compiler

Compiled 68 to 13 computations (80.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-log: 9.0ms (45.6% of total)
ival-div: 4.0ms (20.2% of total)
ival-mult: 3.0ms (15.2% of total)
ival-neg: 3.0ms (15.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series169.0ms (4.9%)

Memory
9.2MiB live, 416.2MiB allocated
Counts
8 → 96
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>) () ())
#s(alt (*.f64 (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) x) (patch (*.f64 (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) x) #<representation binary64>) () ())
#s(alt (neg.f64 (log.f64 (*.f64 (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) x))) (patch (neg.f64 (log.f64 (*.f64 (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) x))) #<representation binary64>) () ())
#s(alt (log.f64 (*.f64 (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) x)) (patch (log.f64 (*.f64 (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) x)) #<representation binary64>) () ())
#s(alt (neg.f64 (log.f64 x)) (patch (neg.f64 (log.f64 x)) #<representation binary64>) () ())
#s(alt (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) (patch (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x 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 (/ 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 (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 (/ (log x) x) (taylor 0 x) (#s(alt (*.f64 (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) x) (patch (*.f64 (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) x) #<representation binary64>) () ())) ())
#s(alt (/ (log x) x) (taylor 0 x) (#s(alt (*.f64 (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) x) (patch (*.f64 (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) x) #<representation binary64>) () ())) ())
#s(alt (/ (log x) x) (taylor 0 x) (#s(alt (*.f64 (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) x) (patch (*.f64 (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) x) #<representation binary64>) () ())) ())
#s(alt (/ (log x) x) (taylor 0 x) (#s(alt (*.f64 (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) x) (patch (*.f64 (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ (log (log x)) (* -1 (log x)))) (taylor 0 x) (#s(alt (neg.f64 (log.f64 (*.f64 (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) x))) (patch (neg.f64 (log.f64 (*.f64 (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ (log (log x)) (* -1 (log x)))) (taylor 0 x) (#s(alt (neg.f64 (log.f64 (*.f64 (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) x))) (patch (neg.f64 (log.f64 (*.f64 (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ (log (log x)) (* -1 (log x)))) (taylor 0 x) (#s(alt (neg.f64 (log.f64 (*.f64 (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) x))) (patch (neg.f64 (log.f64 (*.f64 (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ (log (log x)) (* -1 (log x)))) (taylor 0 x) (#s(alt (neg.f64 (log.f64 (*.f64 (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) x))) (patch (neg.f64 (log.f64 (*.f64 (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) x))) #<representation binary64>) () ())) ())
#s(alt (+ (log (log x)) (* -1 (log x))) (taylor 0 x) (#s(alt (log.f64 (*.f64 (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) x)) (patch (log.f64 (*.f64 (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (log x)) (* -1 (log x))) (taylor 0 x) (#s(alt (log.f64 (*.f64 (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) x)) (patch (log.f64 (*.f64 (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (log x)) (* -1 (log x))) (taylor 0 x) (#s(alt (log.f64 (*.f64 (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) x)) (patch (log.f64 (*.f64 (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (log x)) (* -1 (log x))) (taylor 0 x) (#s(alt (log.f64 (*.f64 (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) x)) (patch (log.f64 (*.f64 (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (log x)) (taylor 0 x) (#s(alt (neg.f64 (log.f64 x)) (patch (neg.f64 (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (log x)) (taylor 0 x) (#s(alt (neg.f64 (log.f64 x)) (patch (neg.f64 (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (log x)) (taylor 0 x) (#s(alt (neg.f64 (log.f64 x)) (patch (neg.f64 (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (log x)) (taylor 0 x) (#s(alt (neg.f64 (log.f64 x)) (patch (neg.f64 (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (log x) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) (patch (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (log x) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) (patch (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (log x) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) (patch (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (log x) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) (patch (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x 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 (* -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 (* -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 (* -1 (/ (log (/ 1 x)) x)) (taylor inf x) (#s(alt (*.f64 (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) x) (patch (*.f64 (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (log (/ 1 x)) x)) (taylor inf x) (#s(alt (*.f64 (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) x) (patch (*.f64 (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (log (/ 1 x)) x)) (taylor inf x) (#s(alt (*.f64 (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) x) (patch (*.f64 (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (log (/ 1 x)) x)) (taylor inf x) (#s(alt (*.f64 (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) x) (patch (*.f64 (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ (log (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (taylor inf x) (#s(alt (neg.f64 (log.f64 (*.f64 (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) x))) (patch (neg.f64 (log.f64 (*.f64 (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ (log (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (taylor inf x) (#s(alt (neg.f64 (log.f64 (*.f64 (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) x))) (patch (neg.f64 (log.f64 (*.f64 (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ (log (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (taylor inf x) (#s(alt (neg.f64 (log.f64 (*.f64 (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) x))) (patch (neg.f64 (log.f64 (*.f64 (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ (log (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (taylor inf x) (#s(alt (neg.f64 (log.f64 (*.f64 (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) x))) (patch (neg.f64 (log.f64 (*.f64 (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) x))) #<representation binary64>) () ())) ())
#s(alt (+ (log (* -1 (log (/ 1 x)))) (log (/ 1 x))) (taylor inf x) (#s(alt (log.f64 (*.f64 (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) x)) (patch (log.f64 (*.f64 (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* -1 (log (/ 1 x)))) (log (/ 1 x))) (taylor inf x) (#s(alt (log.f64 (*.f64 (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) x)) (patch (log.f64 (*.f64 (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* -1 (log (/ 1 x)))) (log (/ 1 x))) (taylor inf x) (#s(alt (log.f64 (*.f64 (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) x)) (patch (log.f64 (*.f64 (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* -1 (log (/ 1 x)))) (log (/ 1 x))) (taylor inf x) (#s(alt (log.f64 (*.f64 (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) x)) (patch (log.f64 (*.f64 (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) x)) #<representation binary64>) () ())) ())
#s(alt (log (/ 1 x)) (taylor inf x) (#s(alt (neg.f64 (log.f64 x)) (patch (neg.f64 (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (log (/ 1 x)) (taylor inf x) (#s(alt (neg.f64 (log.f64 x)) (patch (neg.f64 (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (log (/ 1 x)) (taylor inf x) (#s(alt (neg.f64 (log.f64 x)) (patch (neg.f64 (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (log (/ 1 x)) (taylor inf x) (#s(alt (neg.f64 (log.f64 x)) (patch (neg.f64 (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (log (/ 1 x)) (pow x 2))) (taylor inf x) (#s(alt (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) (patch (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (log (/ 1 x)) (pow x 2))) (taylor inf x) (#s(alt (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) (patch (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (log (/ 1 x)) (pow x 2))) (taylor inf x) (#s(alt (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) (patch (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (log (/ 1 x)) (pow x 2))) (taylor inf x) (#s(alt (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) (patch (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x 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 -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 -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 -1) (* -1 (log (/ -1 x)))) x) (taylor -inf x) (#s(alt (*.f64 (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) x) (patch (*.f64 (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ (log -1) (* -1 (log (/ -1 x)))) x) (taylor -inf x) (#s(alt (*.f64 (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) x) (patch (*.f64 (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ (log -1) (* -1 (log (/ -1 x)))) x) (taylor -inf x) (#s(alt (*.f64 (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) x) (patch (*.f64 (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ (log -1) (* -1 (log (/ -1 x)))) x) (taylor -inf x) (#s(alt (*.f64 (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) x) (patch (*.f64 (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (log (/ -1 x)))) (taylor -inf x) (#s(alt (neg.f64 (log.f64 (*.f64 (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) x))) (patch (neg.f64 (log.f64 (*.f64 (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (log (/ -1 x)))) (taylor -inf x) (#s(alt (neg.f64 (log.f64 (*.f64 (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) x))) (patch (neg.f64 (log.f64 (*.f64 (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (log (/ -1 x)))) (taylor -inf x) (#s(alt (neg.f64 (log.f64 (*.f64 (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) x))) (patch (neg.f64 (log.f64 (*.f64 (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (log (/ -1 x)))) (taylor -inf x) (#s(alt (neg.f64 (log.f64 (*.f64 (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) x))) (patch (neg.f64 (log.f64 (*.f64 (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) x))) #<representation binary64>) () ())) ())
#s(alt (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (log (/ -1 x))) (taylor -inf x) (#s(alt (log.f64 (*.f64 (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) x)) (patch (log.f64 (*.f64 (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (log (/ -1 x))) (taylor -inf x) (#s(alt (log.f64 (*.f64 (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) x)) (patch (log.f64 (*.f64 (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (log (/ -1 x))) (taylor -inf x) (#s(alt (log.f64 (*.f64 (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) x)) (patch (log.f64 (*.f64 (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (log (/ -1 x))) (taylor -inf x) (#s(alt (log.f64 (*.f64 (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) x)) (patch (log.f64 (*.f64 (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ (log -1) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (neg.f64 (log.f64 x)) (patch (neg.f64 (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ (log -1) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (neg.f64 (log.f64 x)) (patch (neg.f64 (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ (log -1) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (neg.f64 (log.f64 x)) (patch (neg.f64 (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ (log -1) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (neg.f64 (log.f64 x)) (patch (neg.f64 (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) (patch (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) (patch (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) (patch (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) (patch (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) #<representation binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
92.0ms
x
@-inf
((log (/ x (log x))) (/ x (log x)) (log x) (* (/ (neg (log x)) (neg (* x x))) x) (neg (log (* (/ (neg (log x)) (neg (* x x))) x))) (log (* (/ (neg (log x)) (neg (* x x))) x)) (neg (log x)) (/ (neg (log x)) (neg (* x x))))
43.0ms
x
@inf
((log (/ x (log x))) (/ x (log x)) (log x) (* (/ (neg (log x)) (neg (* x x))) x) (neg (log (* (/ (neg (log x)) (neg (* x x))) x))) (log (* (/ (neg (log x)) (neg (* x x))) x)) (neg (log x)) (/ (neg (log x)) (neg (* x x))))
32.0ms
x
@0
((log (/ x (log x))) (/ x (log x)) (log x) (* (/ (neg (log x)) (neg (* x x))) x) (neg (log (* (/ (neg (log x)) (neg (* x x))) x))) (log (* (/ (neg (log x)) (neg (* x x))) x)) (neg (log x)) (/ (neg (log x)) (neg (* x x))))

simplify71.0ms (2%)

Memory
12.3MiB live, 51.5MiB allocated
Algorithm
egg-herbie
Rules
880×lower-fma.f64
880×lower-fma.f32
624×lower-*.f64
624×lower-*.f32
614×times-frac
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
046712
1104648
2187640
3418640
41057640
51707640
62473596
72838596
82881596
92884596
102885596
112885596
02885596
Stop Event
iter limit
saturated
Counts
96 → 96
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))))
(/ x (log x))
(/ x (log x))
(/ x (log x))
(/ x (log x))
(log x)
(log x)
(log x)
(log x)
(/ (log x) x)
(/ (log x) x)
(/ (log x) x)
(/ (log x) x)
(* -1 (+ (log (log x)) (* -1 (log x))))
(* -1 (+ (log (log x)) (* -1 (log x))))
(* -1 (+ (log (log x)) (* -1 (log x))))
(* -1 (+ (log (log x)) (* -1 (log x))))
(+ (log (log x)) (* -1 (log x)))
(+ (log (log x)) (* -1 (log x)))
(+ (log (log x)) (* -1 (log x)))
(+ (log (log x)) (* -1 (log x)))
(* -1 (log x))
(* -1 (log x))
(* -1 (log x))
(* -1 (log x))
(/ (log x) (pow x 2))
(/ (log x) (pow x 2))
(/ (log x) (pow x 2))
(/ (log x) (pow x 2))
(+ (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))))
(* -1 (/ x (log (/ 1 x))))
(* -1 (/ x (log (/ 1 x))))
(* -1 (/ x (log (/ 1 x))))
(* -1 (/ x (log (/ 1 x))))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (/ (log (/ 1 x)) x))
(* -1 (/ (log (/ 1 x)) x))
(* -1 (/ (log (/ 1 x)) x))
(* -1 (/ (log (/ 1 x)) x))
(* -1 (+ (log (* -1 (log (/ 1 x)))) (log (/ 1 x))))
(* -1 (+ (log (* -1 (log (/ 1 x)))) (log (/ 1 x))))
(* -1 (+ (log (* -1 (log (/ 1 x)))) (log (/ 1 x))))
(* -1 (+ (log (* -1 (log (/ 1 x)))) (log (/ 1 x))))
(+ (log (* -1 (log (/ 1 x)))) (log (/ 1 x)))
(+ (log (* -1 (log (/ 1 x)))) (log (/ 1 x)))
(+ (log (* -1 (log (/ 1 x)))) (log (/ 1 x)))
(+ (log (* -1 (log (/ 1 x)))) (log (/ 1 x)))
(log (/ 1 x))
(log (/ 1 x))
(log (/ 1 x))
(log (/ 1 x))
(* -1 (/ (log (/ 1 x)) (pow x 2)))
(* -1 (/ (log (/ 1 x)) (pow x 2)))
(* -1 (/ (log (/ 1 x)) (pow x 2)))
(* -1 (/ (log (/ 1 x)) (pow x 2)))
(+ (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 -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 -1) (* -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)))) x)
(/ (+ (log -1) (* -1 (log (/ -1 x)))) x)
(/ (+ (log -1) (* -1 (log (/ -1 x)))) x)
(/ (+ (log -1) (* -1 (log (/ -1 x)))) x)
(* -1 (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (log (/ -1 x))))
(* -1 (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (log (/ -1 x))))
(* -1 (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (log (/ -1 x))))
(* -1 (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (log (/ -1 x))))
(+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (log (/ -1 x)))
(+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (log (/ -1 x)))
(+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (log (/ -1 x)))
(+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (log (/ -1 x)))
(* -1 (+ (log -1) (* -1 (log (/ -1 x)))))
(* -1 (+ (log -1) (* -1 (log (/ -1 x)))))
(* -1 (+ (log -1) (* -1 (log (/ -1 x)))))
(* -1 (+ (log -1) (* -1 (log (/ -1 x)))))
(/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow x 2))
(/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow x 2))
(/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow x 2))
(/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow x 2))
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)))
(/ 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))
(log x)
(log.f64 x)
(log x)
(log.f64 x)
(log x)
(log.f64 x)
(log x)
(log.f64 x)
(/ (log x) x)
(/.f64 (log.f64 x) x)
(/ (log x) x)
(/.f64 (log.f64 x) x)
(/ (log x) x)
(/.f64 (log.f64 x) x)
(/ (log x) x)
(/.f64 (log.f64 x) x)
(* -1 (+ (log (log x)) (* -1 (log x))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(* -1 (+ (log (log x)) (* -1 (log x))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(* -1 (+ (log (log x)) (* -1 (log x))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(* -1 (+ (log (log x)) (* -1 (log x))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(+ (log (log x)) (* -1 (log x)))
(-.f64 (log.f64 (log.f64 x)) (log.f64 x))
(+ (log (log x)) (* -1 (log x)))
(-.f64 (log.f64 (log.f64 x)) (log.f64 x))
(+ (log (log x)) (* -1 (log x)))
(-.f64 (log.f64 (log.f64 x)) (log.f64 x))
(+ (log (log x)) (* -1 (log x)))
(-.f64 (log.f64 (log.f64 x)) (log.f64 x))
(* -1 (log x))
(neg.f64 (log.f64 x))
(* -1 (log x))
(neg.f64 (log.f64 x))
(* -1 (log x))
(neg.f64 (log.f64 x))
(* -1 (log x))
(neg.f64 (log.f64 x))
(/ (log x) (pow x 2))
(/.f64 (/.f64 (log.f64 x) x) x)
(/ (log x) (pow x 2))
(/.f64 (/.f64 (log.f64 x) x) x)
(/ (log x) (pow x 2))
(/.f64 (/.f64 (log.f64 x) x) x)
(/ (log x) (pow x 2))
(/.f64 (/.f64 (log.f64 x) x) 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)))
(* -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))
(* -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)
(* -1 (/ (log (/ 1 x)) x))
(/.f64 (log.f64 x) x)
(* -1 (/ (log (/ 1 x)) x))
(/.f64 (log.f64 x) x)
(* -1 (/ (log (/ 1 x)) x))
(/.f64 (log.f64 x) x)
(* -1 (/ (log (/ 1 x)) x))
(/.f64 (log.f64 x) x)
(* -1 (+ (log (* -1 (log (/ 1 x)))) (log (/ 1 x))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(* -1 (+ (log (* -1 (log (/ 1 x)))) (log (/ 1 x))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(* -1 (+ (log (* -1 (log (/ 1 x)))) (log (/ 1 x))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(* -1 (+ (log (* -1 (log (/ 1 x)))) (log (/ 1 x))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(+ (log (* -1 (log (/ 1 x)))) (log (/ 1 x)))
(-.f64 (log.f64 (log.f64 x)) (log.f64 x))
(+ (log (* -1 (log (/ 1 x)))) (log (/ 1 x)))
(-.f64 (log.f64 (log.f64 x)) (log.f64 x))
(+ (log (* -1 (log (/ 1 x)))) (log (/ 1 x)))
(-.f64 (log.f64 (log.f64 x)) (log.f64 x))
(+ (log (* -1 (log (/ 1 x)))) (log (/ 1 x)))
(-.f64 (log.f64 (log.f64 x)) (log.f64 x))
(log (/ 1 x))
(neg.f64 (log.f64 x))
(log (/ 1 x))
(neg.f64 (log.f64 x))
(log (/ 1 x))
(neg.f64 (log.f64 x))
(log (/ 1 x))
(neg.f64 (log.f64 x))
(* -1 (/ (log (/ 1 x)) (pow x 2)))
(/.f64 (/.f64 (log.f64 x) x) x)
(* -1 (/ (log (/ 1 x)) (pow x 2)))
(/.f64 (/.f64 (log.f64 x) x) x)
(* -1 (/ (log (/ 1 x)) (pow x 2)))
(/.f64 (/.f64 (log.f64 x) x) x)
(* -1 (/ (log (/ 1 x)) (pow x 2)))
(/.f64 (/.f64 (log.f64 x) x) x)
(+ (log (/ -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 (neg.f64 x)) (log.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) 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 (log.f64 (/.f64 #s(literal -1 binary64) 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 (log.f64 (/.f64 #s(literal -1 binary64) 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 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64)))))
(/ x (+ (log -1) (* -1 (log (/ -1 x)))))
(/.f64 x (+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64))))
(/ x (+ (log -1) (* -1 (log (/ -1 x)))))
(/.f64 x (+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64))))
(/ x (+ (log -1) (* -1 (log (/ -1 x)))))
(/.f64 x (+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64))))
(/ x (+ (log -1) (* -1 (log (/ -1 x)))))
(/.f64 x (+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64)))
(/ (+ (log -1) (* -1 (log (/ -1 x)))) x)
(/.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64))) x)
(/ (+ (log -1) (* -1 (log (/ -1 x)))) x)
(/.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64))) x)
(/ (+ (log -1) (* -1 (log (/ -1 x)))) x)
(/.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64))) x)
(/ (+ (log -1) (* -1 (log (/ -1 x)))) x)
(/.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64))) x)
(* -1 (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (log (/ -1 x))))
(-.f64 (log.f64 (neg.f64 x)) (log.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64)))))
(* -1 (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (log (/ -1 x))))
(-.f64 (log.f64 (neg.f64 x)) (log.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64)))))
(* -1 (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (log (/ -1 x))))
(-.f64 (log.f64 (neg.f64 x)) (log.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64)))))
(* -1 (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (log (/ -1 x))))
(-.f64 (log.f64 (neg.f64 x)) (log.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64)))))
(+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (log (/ -1 x)))
(-.f64 (log.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64)))) (log.f64 (neg.f64 x)))
(+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (log (/ -1 x)))
(-.f64 (log.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64)))) (log.f64 (neg.f64 x)))
(+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (log (/ -1 x)))
(-.f64 (log.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64)))) (log.f64 (neg.f64 x)))
(+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (log (/ -1 x)))
(-.f64 (log.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64)))) (log.f64 (neg.f64 x)))
(* -1 (+ (log -1) (* -1 (log (/ -1 x)))))
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64)))
(* -1 (+ (log -1) (* -1 (log (/ -1 x)))))
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64)))
(* -1 (+ (log -1) (* -1 (log (/ -1 x)))))
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64)))
(* -1 (+ (log -1) (* -1 (log (/ -1 x)))))
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64)))
(/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow x 2))
(/.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64))) (*.f64 x x))
(/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow x 2))
(/.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64))) (*.f64 x x))
(/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow x 2))
(/.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64))) (*.f64 x x))
(/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow x 2))
(/.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64))) (*.f64 x x))

rewrite84.0ms (2.4%)

Memory
-19.1MiB live, 134.1MiB allocated
Rules
1 018×lower-*.f32
1 014×lower-*.f64
966×lower-/.f32
962×lower-/.f64
572×lower-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01155
02148
16242
235034
0266734
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
8 → 512
Calls
Call 1
Inputs
(log.f64 (/.f64 x (log.f64 x)))
(/.f64 x (log.f64 x))
(log.f64 x)
(*.f64 (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) x)
(neg.f64 (log.f64 (*.f64 (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) x)))
(log.f64 (*.f64 (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) x))
(neg.f64 (log.f64 x))
(/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x)))
Outputs
(*.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 (log.f64 x) x))))
(*.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 (log.f64 x) x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (log.f64 x) x))))
(*.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 (log.f64 x) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(*.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 (log.f64 x) x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (/.f64 (log.f64 x) x)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 (log.f64 x) x)))
(*.f64 (log.f64 (/.f64 (log.f64 x) x)) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (log.f64 x))) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (log.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (log.f64 x)) x)))
(/.f64 (*.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (log.f64 x))) #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (log.f64 x)))) (pow.f64 (log.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (log.f64 x))) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (log.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (log.f64 x))) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (log.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (log.f64 x)) x)))
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (log.f64 x))) #s(literal 3 binary64)))) (fma.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (log.f64 x)))) (pow.f64 (log.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (log.f64 x))) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 x))) (*.f64 (log.f64 (neg.f64 (log.f64 x))) (log.f64 (neg.f64 (log.f64 x))))) (+.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 (log.f64 x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 (/.f64 x (log.f64 x))) (log.f64 (/.f64 x (log.f64 x))))) (log.f64 (/.f64 (log.f64 x) x)))
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 (log.f64 (log.f64 x))) (neg.f64 (log.f64 (log.f64 x))))) (-.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (/.f64 x (log.f64 x)) x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (log.f64 x)))) (pow.f64 (log.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (log.f64 x))) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (log.f64 (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 (neg.f64 (log.f64 x))) #s(literal 3 binary64))) (fma.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 x)) (fma.f64 (log.f64 (neg.f64 (log.f64 x))) (log.f64 (neg.f64 (log.f64 x))) (*.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 (log.f64 x)))))))
(/.f64 (+.f64 (pow.f64 (log.f64 (*.f64 (/.f64 x (log.f64 x)) x)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64))) (fma.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (log.f64 x)))) (pow.f64 (log.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (log.f64 x))) #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (log.f64 (/.f64 x (log.f64 x))) (log.f64 (/.f64 x (log.f64 x)))) (*.f64 #s(literal 0 binary64) (log.f64 (/.f64 x (log.f64 x)))))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 (log.f64 x))) #s(literal 3 binary64))) (fma.f64 (log.f64 x) (log.f64 x) (-.f64 (*.f64 (neg.f64 (log.f64 (log.f64 x))) (neg.f64 (log.f64 (log.f64 x)))) (*.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))) (neg.f64 (log.f64 (*.f64 (log.f64 x) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 (log.f64 x) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (log.f64 x))) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (log.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (log.f64 x)) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (log.f64 x))) #s(literal 3 binary64)))) (fma.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (log.f64 x)))) (pow.f64 (log.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (log.f64 x))) #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 (log.f64 x) x)) #s(literal 2 binary64)))) (log.f64 (/.f64 x (log.f64 x))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 (log.f64 x) x)) #s(literal 3 binary64)))) (neg.f64 (pow.f64 (log.f64 (/.f64 (log.f64 x) x)) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))) (log.f64 (*.f64 (log.f64 x) x)))
(/.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 (log.f64 x) x)) #s(literal 2 binary64))) (log.f64 (/.f64 (log.f64 x) x)))
(/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (log.f64 x))) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (+.f64 (log.f64 (*.f64 (/.f64 x (log.f64 x)) x)) (log.f64 x)))
(/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (log.f64 x))) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (-.f64 (log.f64 (*.f64 (/.f64 x (log.f64 x)) x)) (neg.f64 (log.f64 x))))
(/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (log.f64 x))) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (neg.f64 (log.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (log.f64 x)) x))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64))) (fma.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 (log.f64 x) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 (log.f64 x) x)) #s(literal 3 binary64))) (pow.f64 (log.f64 (/.f64 (log.f64 x) x)) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (log.f64 x))) #s(literal 3 binary64))) (neg.f64 (fma.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (log.f64 x)))) (pow.f64 (log.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (log.f64 x))) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 (log.f64 x) x)) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 (log.f64 x) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 (log.f64 x) x)) (neg.f64 (pow.f64 (log.f64 (/.f64 (log.f64 x) x)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 (/.f64 (log.f64 x) x)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (log.f64 (/.f64 (log.f64 x) x)) #s(literal 3 binary64)))))
(neg.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) (log.f64 (log.f64 x))))
(neg.f64 (log.f64 (/.f64 (log.f64 x) x)))
(fma.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 (log.f64 x) x))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (log.f64 x) #s(literal -1 binary64)) (log.f64 (*.f64 (/.f64 x (log.f64 x)) x)))
(fma.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 (log.f64 x) x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (log.f64 x) x))) #s(literal 0 binary64))
(fma.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 (log.f64 x) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log.f64 (*.f64 (/.f64 x (log.f64 x)) x)))
(fma.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 (log.f64 x) x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (/.f64 (log.f64 x) x)) #s(literal 2 binary64))) #s(literal 0 binary64))
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(/.f64 (*.f64 (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 x #s(literal -1 binary64))) (*.f64 (neg.f64 x) (log.f64 x)))
(/.f64 (*.f64 (neg.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) x)) (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x))
(/.f64 (*.f64 (neg.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 x x)))
(/.f64 (*.f64 (neg.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64))) (pow.f64 x #s(literal -1 binary64))) (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (neg.f64 x)))
(/.f64 (*.f64 (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (log.f64 x) (*.f64 (neg.f64 x) x)))
(/.f64 (*.f64 (neg.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (neg.f64 (log.f64 x)) x))) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (log.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (/.f64 x (log.f64 x)))) (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 x) (/.f64 x (log.f64 x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 (log.f64 x)))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 x) x) (log.f64 x))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (neg.f64 x) (log.f64 x)))
(/.f64 (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (*.f64 (neg.f64 x) x) (log.f64 x)))
(/.f64 (neg.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 (*.f64 (neg.f64 x) x) (pow.f64 (log.f64 x) #s(literal 2 binary64))))
(/.f64 (/.f64 (neg.f64 (log.f64 x)) x) (neg.f64 x))
(/.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 (log.f64 x))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (/.f64 x (log.f64 x))))
(/.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) (log.f64 x)))
(/.f64 (/.f64 (log.f64 x) x) x)
(/.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 x (log.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (log.f64 x)) x))
(/.f64 (neg.f64 (log.f64 x)) (*.f64 (neg.f64 x) x))
(/.f64 (log.f64 x) (*.f64 x x))
(neg.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 (log.f64 x))))
(fma.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 0 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) (log.f64 x)))
(-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 (log.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x (log.f64 x)) x)) #s(literal -1 binary64)))
(+.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 0 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (log.f64 x)))
(+.f64 #s(literal 0 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) (log.f64 x)))

eval78.0ms (2.2%)

Memory
3.0MiB live, 201.3MiB allocated
Compiler

Compiled 9 386 to 1 620 computations (82.7% saved)

prune17.0ms (0.5%)

Memory
-2.6MiB live, 47.8MiB allocated
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New6531654
Fresh000
Picked112
Done011
Total6543657
Accuracy
100.0%
Counts
657 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.5%
(log.f64 (/.f64 (*.f64 x x) (*.f64 (log.f64 x) x)))
100.0%
(log.f64 (/.f64 x (log.f64 x)))
24.7%
(log.f64 (*.f64 (log.f64 x) x))
Compiler

Compiled 19 to 14 computations (26.3% saved)

simplify104.0ms (3%)

Memory
17.3MiB live, 133.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (log.f64 x) x)
cost-diff0
(*.f64 x x)
cost-diff0
(log.f64 (/.f64 (*.f64 x x) (*.f64 (log.f64 x) x)))
cost-diff640
(/.f64 (*.f64 x x) (*.f64 (log.f64 x) x))
Rules
5 206×lower-*.f32
5 202×lower-*.f64
2 230×lower-fma.f64
2 230×lower-fma.f32
2 178×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0627
01127
11923
23119
33719
410819
533619
6115519
7130119
8159319
9272819
10504419
11704319
0802519
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(log.f64 (/.f64 (*.f64 x x) (*.f64 (log.f64 x) x)))
(/.f64 (*.f64 x x) (*.f64 (log.f64 x) x))
(*.f64 x x)
x
(*.f64 (log.f64 x) x)
(log.f64 x)
Outputs
(log.f64 (/.f64 (*.f64 x x) (*.f64 (log.f64 x) x)))
(log.f64 (/.f64 x (log.f64 x)))
(/.f64 (*.f64 x x) (*.f64 (log.f64 x) x))
(/.f64 x (log.f64 x))
(*.f64 x x)
x
(*.f64 (log.f64 x) x)
(log.f64 x)

localize36.0ms (1%)

Memory
-17.2MiB live, 61.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(log.f64 x)
accuracy0.00390625
(log.f64 (/.f64 (*.f64 x x) (*.f64 (log.f64 x) x)))
accuracy0.265625
(*.f64 (log.f64 x) x)
accuracy29.968695585227557
(/.f64 (*.f64 x x) (*.f64 (log.f64 x) x))
Samples
30.0ms256×0valid
Compiler

Compiled 29 to 8 computations (72.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 11.0ms (51.3% of total)
ival-log: 8.0ms (37.3% of total)
ival-div: 1.0ms (4.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series60.0ms (1.7%)

Memory
-0.1MiB live, 119.4MiB allocated
Counts
5 → 60
Calls
Call 1
Inputs
#s(alt (/.f64 (*.f64 x x) (*.f64 (log.f64 x) x)) (patch (/.f64 (*.f64 x x) (*.f64 (log.f64 x) x)) #<representation binary64>) () ())
#s(alt (log.f64 (/.f64 (*.f64 x x) (*.f64 (log.f64 x) x))) (patch (log.f64 (/.f64 (*.f64 x x) (*.f64 (log.f64 x) x))) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt (*.f64 (log.f64 x) x) (patch (*.f64 (log.f64 x) x) #<representation binary64>) () ())
#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())
Outputs
#s(alt (/ x (log x)) (taylor 0 x) (#s(alt (/.f64 (*.f64 x x) (*.f64 (log.f64 x) x)) (patch (/.f64 (*.f64 x x) (*.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (/ x (log x)) (taylor 0 x) (#s(alt (/.f64 (*.f64 x x) (*.f64 (log.f64 x) x)) (patch (/.f64 (*.f64 x x) (*.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (/ x (log x)) (taylor 0 x) (#s(alt (/.f64 (*.f64 x x) (*.f64 (log.f64 x) x)) (patch (/.f64 (*.f64 x x) (*.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (/ x (log x)) (taylor 0 x) (#s(alt (/.f64 (*.f64 x x) (*.f64 (log.f64 x) x)) (patch (/.f64 (*.f64 x x) (*.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log x) (log (/ 1 (log x)))) (taylor 0 x) (#s(alt (log.f64 (/.f64 (*.f64 x x) (*.f64 (log.f64 x) x))) (patch (log.f64 (/.f64 (*.f64 x x) (*.f64 (log.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (+ (log x) (log (/ 1 (log x)))) (taylor 0 x) (#s(alt (log.f64 (/.f64 (*.f64 x x) (*.f64 (log.f64 x) x))) (patch (log.f64 (/.f64 (*.f64 x x) (*.f64 (log.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (+ (log x) (log (/ 1 (log x)))) (taylor 0 x) (#s(alt (log.f64 (/.f64 (*.f64 x x) (*.f64 (log.f64 x) x))) (patch (log.f64 (/.f64 (*.f64 x x) (*.f64 (log.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (+ (log x) (log (/ 1 (log x)))) (taylor 0 x) (#s(alt (log.f64 (/.f64 (*.f64 x x) (*.f64 (log.f64 x) x))) (patch (log.f64 (/.f64 (*.f64 x x) (*.f64 (log.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* x (log x)) (taylor 0 x) (#s(alt (*.f64 (log.f64 x) x) (patch (*.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* x (log x)) (taylor 0 x) (#s(alt (*.f64 (log.f64 x) x) (patch (*.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* x (log x)) (taylor 0 x) (#s(alt (*.f64 (log.f64 x) x) (patch (*.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* x (log x)) (taylor 0 x) (#s(alt (*.f64 (log.f64 x) x) (patch (*.f64 (log.f64 x) 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 (/ x (log (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 (*.f64 x x) (*.f64 (log.f64 x) x)) (patch (/.f64 (*.f64 x x) (*.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x (log (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 (*.f64 x x) (*.f64 (log.f64 x) x)) (patch (/.f64 (*.f64 x x) (*.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x (log (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 (*.f64 x x) (*.f64 (log.f64 x) x)) (patch (/.f64 (*.f64 x x) (*.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x (log (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 (*.f64 x x) (*.f64 (log.f64 x) x)) (patch (/.f64 (*.f64 x x) (*.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (/ -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))) (taylor inf x) (#s(alt (log.f64 (/.f64 (*.f64 x x) (*.f64 (log.f64 x) x))) (patch (log.f64 (/.f64 (*.f64 x x) (*.f64 (log.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (+ (log (/ -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))) (taylor inf x) (#s(alt (log.f64 (/.f64 (*.f64 x x) (*.f64 (log.f64 x) x))) (patch (log.f64 (/.f64 (*.f64 x x) (*.f64 (log.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (+ (log (/ -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))) (taylor inf x) (#s(alt (log.f64 (/.f64 (*.f64 x x) (*.f64 (log.f64 x) x))) (patch (log.f64 (/.f64 (*.f64 x x) (*.f64 (log.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (+ (log (/ -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))) (taylor inf x) (#s(alt (log.f64 (/.f64 (*.f64 x x) (*.f64 (log.f64 x) x))) (patch (log.f64 (/.f64 (*.f64 x x) (*.f64 (log.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (log (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 (log.f64 x) x) (patch (*.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (log (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 (log.f64 x) x) (patch (*.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (log (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 (log.f64 x) x) (patch (*.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (log (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 (log.f64 x) x) (patch (*.f64 (log.f64 x) 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 (/ x (+ (log -1) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x x) (*.f64 (log.f64 x) x)) (patch (/.f64 (*.f64 x x) (*.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (/ x (+ (log -1) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x x) (*.f64 (log.f64 x) x)) (patch (/.f64 (*.f64 x x) (*.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (/ x (+ (log -1) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x x) (*.f64 (log.f64 x) x)) (patch (/.f64 (*.f64 x x) (*.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (/ x (+ (log -1) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x x) (*.f64 (log.f64 x) x)) (patch (/.f64 (*.f64 x x) (*.f64 (log.f64 x) 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 (*.f64 x x) (*.f64 (log.f64 x) x))) (patch (log.f64 (/.f64 (*.f64 x x) (*.f64 (log.f64 x) 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 (*.f64 x x) (*.f64 (log.f64 x) x))) (patch (log.f64 (/.f64 (*.f64 x x) (*.f64 (log.f64 x) 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 (*.f64 x x) (*.f64 (log.f64 x) x))) (patch (log.f64 (/.f64 (*.f64 x x) (*.f64 (log.f64 x) 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 (*.f64 x x) (*.f64 (log.f64 x) x))) (patch (log.f64 (/.f64 (*.f64 x x) (*.f64 (log.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* x (+ (log -1) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (*.f64 (log.f64 x) x) (patch (*.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ (log -1) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (*.f64 (log.f64 x) x) (patch (*.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ (log -1) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (*.f64 (log.f64 x) x) (patch (*.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ (log -1) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (*.f64 (log.f64 x) x) (patch (*.f64 (log.f64 x) 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

3 calls:

TimeVariablePointExpression
20.0ms
x
@-inf
((/ (* x x) (* (log x) x)) (log (/ (* x x) (* (log x) x))) (* x x) (* (log x) x) (log x))
19.0ms
x
@inf
((/ (* x x) (* (log x) x)) (log (/ (* x x) (* (log x) x))) (* x x) (* (log x) x) (log x))
19.0ms
x
@0
((/ (* x x) (* (log x) x)) (log (/ (* x x) (* (log x) x))) (* x x) (* (log x) x) (log x))

simplify50.0ms (1.4%)

Memory
11.5MiB live, 49.3MiB allocated
Algorithm
egg-herbie
Rules
568×lower-fma.f64
568×lower-fma.f32
408×lower-*.f64
408×lower-*.f32
204×associate-*l*
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
031352
161324
2101324
3208324
4416324
5763324
61185304
71523300
81564300
91571300
101572300
01572300
Stop Event
iter limit
saturated
Counts
60 → 60
Calls
Call 1
Inputs
(/ x (log x))
(/ x (log x))
(/ x (log x))
(/ x (log x))
(+ (log x) (log (/ 1 (log x))))
(+ (log x) (log (/ 1 (log x))))
(+ (log x) (log (/ 1 (log x))))
(+ (log x) (log (/ 1 (log x))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* x (log x))
(* x (log x))
(* x (log x))
(* x (log x))
(log x)
(log x)
(log x)
(log x)
(* -1 (/ x (log (/ 1 x))))
(* -1 (/ x (log (/ 1 x))))
(* -1 (/ x (log (/ 1 x))))
(* -1 (/ x (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)))) (* -1 (log (/ 1 x))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1 (* x (log (/ 1 x))))
(* -1 (* x (log (/ 1 x))))
(* -1 (* x (log (/ 1 x))))
(* -1 (* x (log (/ 1 x))))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -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)))))
(/ x (+ (log -1) (* -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))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 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 -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
Outputs
(/ 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))
(+ (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)))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* x (log x))
(*.f64 (log.f64 x) x)
(* x (log x))
(*.f64 (log.f64 x) x)
(* x (log x))
(*.f64 (log.f64 x) x)
(* x (log x))
(*.f64 (log.f64 x) x)
(log x)
(log.f64 x)
(log x)
(log.f64 x)
(log x)
(log.f64 x)
(log 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))
(+ (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)))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* -1 (* x (log (/ 1 x))))
(*.f64 (log.f64 x) x)
(* -1 (* x (log (/ 1 x))))
(*.f64 (log.f64 x) x)
(* -1 (* x (log (/ 1 x))))
(*.f64 (log.f64 x) x)
(* -1 (* x (log (/ 1 x))))
(*.f64 (log.f64 x) 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)
(/ x (+ (log -1) (* -1 (log (/ -1 x)))))
(/.f64 x (+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64))))
(/ x (+ (log -1) (* -1 (log (/ -1 x)))))
(/.f64 x (+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64))))
(/ x (+ (log -1) (* -1 (log (/ -1 x)))))
(/.f64 x (+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64))))
(/ x (+ (log -1) (* -1 (log (/ -1 x)))))
(/.f64 x (+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64))))
(+ (log (/ -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 (neg.f64 x)) (log.f64 (-.f64 (neg.f64 (log.f64 #s(literal -1 binary64))) (log.f64 (neg.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 #s(literal -1 binary64))) (log.f64 (neg.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 #s(literal -1 binary64))) (log.f64 (neg.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 #s(literal -1 binary64))) (log.f64 (neg.f64 x)))))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* x (+ (log -1) (* -1 (log (/ -1 x)))))
(*.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64))) x)
(* x (+ (log -1) (* -1 (log (/ -1 x)))))
(*.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64))) x)
(* x (+ (log -1) (* -1 (log (/ -1 x)))))
(*.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64))) x)
(* x (+ (log -1) (* -1 (log (/ -1 x)))))
(*.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64))) x)
(+ (log -1) (* -1 (log (/ -1 x))))
(+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64)))

rewrite65.0ms (1.9%)

Memory
-4.8MiB live, 70.7MiB allocated
Rules
538×lower-*.f32
534×lower-*.f64
480×lower-/.f32
478×lower-/.f64
200×lower-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0626
01126
13218
216518
0104718
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
5 → 151
Calls
Call 1
Inputs
(/.f64 (*.f64 x x) (*.f64 (log.f64 x) x))
(log.f64 (/.f64 (*.f64 x x) (*.f64 (log.f64 x) x)))
(*.f64 x x)
(*.f64 (log.f64 x) x)
(log.f64 x)
Outputs
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal -1 binary64) (*.f64 (log.f64 x) x)))
(*.f64 (pow.f64 (/.f64 (log.f64 x) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (log.f64 x) x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (pow.f64 (log.f64 x) #s(literal -1 binary64)))
(*.f64 (/.f64 x (neg.f64 x)) (/.f64 (neg.f64 x) (log.f64 x)))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 x) (*.f64 (log.f64 x) x)))
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 x)) (/.f64 (*.f64 x x) (neg.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (neg.f64 x) (/.f64 x (log.f64 x))))
(*.f64 (/.f64 (neg.f64 x) x) (/.f64 x (neg.f64 (log.f64 x))))
(*.f64 (/.f64 (neg.f64 x) (log.f64 x)) (/.f64 x (neg.f64 x)))
(*.f64 (/.f64 x (neg.f64 (log.f64 x))) (/.f64 (neg.f64 x) x))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 x (log.f64 x)) x))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (log.f64 x) x)) (*.f64 (neg.f64 x) x))
(*.f64 (pow.f64 (log.f64 x) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (log.f64 x) #s(literal -1 binary64)) x)
(*.f64 (*.f64 (neg.f64 x) (/.f64 x (log.f64 x))) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (neg.f64 x) (*.f64 x (/.f64 #s(literal -1 binary64) (*.f64 (log.f64 x) x))))
(*.f64 (neg.f64 x) (/.f64 x (*.f64 (neg.f64 x) (log.f64 x))))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))))
(*.f64 #s(literal -1 binary64) (/.f64 x (neg.f64 (log.f64 x))))
(*.f64 (*.f64 (/.f64 x (log.f64 x)) x) (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (/.f64 x (log.f64 x)) x) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (log.f64 x) x) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (log.f64 x) x) #s(literal -1 binary64)) (*.f64 x x))
(*.f64 #s(literal 1 binary64) (/.f64 x (log.f64 x)))
(*.f64 (/.f64 x (log.f64 x)) #s(literal 1 binary64))
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (log.f64 x) x)) #s(literal 1 binary64)))
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal -1 binary64) (*.f64 (log.f64 x) x)))
(*.f64 (*.f64 x x) (pow.f64 (*.f64 (log.f64 x) x) #s(literal -1 binary64)))
(*.f64 x (pow.f64 (log.f64 x) #s(literal -1 binary64)))
(pow.f64 (/.f64 (log.f64 x) x) #s(literal -1 binary64))
(/.f64 (/.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)) (*.f64 (log.f64 x) x))
(/.f64 (/.f64 (*.f64 (neg.f64 x) x) x) (neg.f64 (log.f64 x)))
(/.f64 (*.f64 (*.f64 (neg.f64 x) x) (pow.f64 x #s(literal -1 binary64))) (neg.f64 (log.f64 x)))
(/.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 x x)) (log.f64 x))
(/.f64 (*.f64 (*.f64 (neg.f64 x) (/.f64 x (log.f64 x))) #s(literal 1 binary64)) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 (log.f64 x)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (/.f64 x (log.f64 x)))) (neg.f64 x))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 (log.f64 x)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) (*.f64 (neg.f64 x) (log.f64 x)))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (log.f64 x))))
(/.f64 (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) (log.f64 x)))
(/.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 (log.f64 x) x) x))
(/.f64 (pow.f64 (log.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 x) (/.f64 x (log.f64 x))) (neg.f64 x))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (log.f64 x) x)))
(/.f64 (*.f64 (/.f64 x (log.f64 x)) x) (neg.f64 (neg.f64 x)))
(/.f64 (*.f64 (/.f64 x (log.f64 x)) x) x)
(/.f64 (pow.f64 (*.f64 (log.f64 x) x) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) x))
(/.f64 (/.f64 x (log.f64 x)) #s(literal 1 binary64))
(/.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 x) (log.f64 x)))
(/.f64 (*.f64 x x) (*.f64 (log.f64 x) x))
(/.f64 x (*.f64 (log.f64 x) #s(literal 1 binary64)))
(/.f64 x (log.f64 x))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) x)))
(neg.f64 (/.f64 (neg.f64 x) (log.f64 x)))
(neg.f64 (/.f64 x (neg.f64 (log.f64 x))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (log.f64 x))) (/.f64 x (neg.f64 (log.f64 x))))
(-.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 (log.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 x) x)) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 (*.f64 (log.f64 x) x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 (*.f64 (log.f64 x) x)))))
(*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 (log.f64 x) x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (*.f64 (log.f64 x) x)) (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 (*.f64 (log.f64 x) x))) (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 (log.f64 x) x)))
(/.f64 (-.f64 (*.f64 (log.f64 (*.f64 (/.f64 x (log.f64 x)) x)) (log.f64 (*.f64 (/.f64 x (log.f64 x)) x))) (*.f64 (log.f64 x) (log.f64 x))) (+.f64 (log.f64 (*.f64 (/.f64 x (log.f64 x)) x)) (log.f64 x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 (/.f64 (log.f64 x) x)) (log.f64 (/.f64 (log.f64 x) x)))) (log.f64 (/.f64 (log.f64 x) x)))
(/.f64 (-.f64 (*.f64 (log.f64 (*.f64 (neg.f64 x) x)) (log.f64 (*.f64 (neg.f64 x) x))) (*.f64 (log.f64 (*.f64 (neg.f64 x) (log.f64 x))) (log.f64 (*.f64 (neg.f64 x) (log.f64 x))))) (+.f64 (log.f64 (*.f64 (neg.f64 x) x)) (log.f64 (*.f64 (neg.f64 x) (log.f64 x)))))
(/.f64 (-.f64 (*.f64 (log.f64 (/.f64 x (log.f64 x))) (log.f64 (/.f64 x (log.f64 x)))) #s(literal 0 binary64)) (-.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal 0 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64)) (*.f64 (neg.f64 (log.f64 (*.f64 (log.f64 x) x))) (neg.f64 (log.f64 (*.f64 (log.f64 x) x))))) (-.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (neg.f64 (log.f64 (*.f64 (log.f64 x) x)))))
(/.f64 (-.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (neg.f64 (log.f64 (log.f64 x))) (neg.f64 (log.f64 (log.f64 x))))) (-.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (/.f64 x (log.f64 x)) x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (log.f64 (*.f64 (/.f64 x (log.f64 x)) x)) (log.f64 (*.f64 (/.f64 x (log.f64 x)) x)) (fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log.f64 (*.f64 (/.f64 x (log.f64 x)) x)) (log.f64 x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 (log.f64 x) x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (log.f64 (/.f64 (log.f64 x) x)) (log.f64 (/.f64 (log.f64 x) x)) (*.f64 #s(literal 0 binary64) (log.f64 (/.f64 (log.f64 x) x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (neg.f64 x) x)) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 (neg.f64 x) (log.f64 x))) #s(literal 3 binary64))) (fma.f64 (log.f64 (*.f64 (neg.f64 x) x)) (log.f64 (*.f64 (neg.f64 x) x)) (fma.f64 (log.f64 (*.f64 (neg.f64 x) (log.f64 x))) (log.f64 (*.f64 (neg.f64 x) (log.f64 x))) (*.f64 (log.f64 (*.f64 (neg.f64 x) x)) (log.f64 (*.f64 (neg.f64 x) (log.f64 x)))))))
(/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (log.f64 (/.f64 x (log.f64 x))) (log.f64 (/.f64 x (log.f64 x))) (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal 0 binary64)))))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 (*.f64 (log.f64 x) x))) #s(literal 3 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 (log.f64 x) (log.f64 x)) (-.f64 (*.f64 (neg.f64 (log.f64 (*.f64 (log.f64 x) x))) (neg.f64 (log.f64 (*.f64 (log.f64 x) x)))) (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (neg.f64 (log.f64 (*.f64 (log.f64 x) x)))))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 (log.f64 x))) #s(literal 3 binary64))) (fma.f64 (log.f64 x) (log.f64 x) (-.f64 (*.f64 (neg.f64 (log.f64 (log.f64 x))) (neg.f64 (log.f64 (log.f64 x)))) (*.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 (*.f64 (log.f64 x) x)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 (*.f64 (log.f64 x) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 (log.f64 x) x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 (*.f64 (log.f64 x) x)) (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 (*.f64 (log.f64 x) x))) (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 (*.f64 (log.f64 x) x)) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 (*.f64 (log.f64 x) x))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 (log.f64 x) x)) #s(literal 3 binary64))) (fma.f64 (log.f64 (*.f64 (log.f64 x) x)) (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 (*.f64 (log.f64 x) x))) (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 (*.f64 (log.f64 x) x))) (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 (*.f64 (log.f64 x) x)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log.f64 (*.f64 (log.f64 x) x)) (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 (*.f64 (log.f64 x) x))) (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 (log.f64 x) x)) #s(literal 3 binary64)))))
(neg.f64 (log.f64 (/.f64 (log.f64 x) x)))
(fma.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 (*.f64 (log.f64 x) x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 (*.f64 (log.f64 x) x)))) #s(literal 0 binary64))
(fma.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 (log.f64 x) x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (*.f64 (log.f64 x) x)) (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 (*.f64 (log.f64 x) x))) (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 (log.f64 x) x)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (log.f64 (*.f64 (log.f64 x) x)) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(fma.f64 #s(literal 2 binary64) (log.f64 x) (fma.f64 #s(literal -1 binary64) (log.f64 (*.f64 (log.f64 x) x)) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (log.f64 x) (neg.f64 (log.f64 (*.f64 (log.f64 x) x))))
(fma.f64 (log.f64 x) #s(literal 2 binary64) (fma.f64 #s(literal -1 binary64) (log.f64 (*.f64 (log.f64 x) x)) #s(literal 0 binary64)))
(fma.f64 (log.f64 x) #s(literal 2 binary64) (neg.f64 (log.f64 (*.f64 (log.f64 x) x))))
(-.f64 (-.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (log.f64 x)) (log.f64 (log.f64 x)))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 (*.f64 (log.f64 x) x)))) (/.f64 (pow.f64 (log.f64 (*.f64 (log.f64 x) x)) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 (*.f64 (log.f64 x) x)))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3 binary64)) (fma.f64 (log.f64 (*.f64 (log.f64 x) x)) (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 (*.f64 (log.f64 x) x))) (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 (*.f64 (log.f64 x) x)) #s(literal 3 binary64)) (fma.f64 (log.f64 (*.f64 (log.f64 x) x)) (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 (*.f64 (log.f64 x) x))) (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64)))))
(-.f64 (log.f64 (*.f64 (neg.f64 x) (/.f64 x (log.f64 x)))) (log.f64 (neg.f64 x)))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 (log.f64 x) x))))
(-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 (log.f64 x))))
(-.f64 (log.f64 (*.f64 (/.f64 x (log.f64 x)) x)) (-.f64 (log.f64 x) #s(literal 0 binary64)))
(-.f64 (log.f64 (*.f64 (/.f64 x (log.f64 x)) x)) (log.f64 x))
(-.f64 #s(literal 0 binary64) (-.f64 (log.f64 (/.f64 (log.f64 x) x)) #s(literal 0 binary64)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (log.f64 x) x)))
(-.f64 (log.f64 (*.f64 (neg.f64 x) x)) (-.f64 (log.f64 (*.f64 (neg.f64 x) (log.f64 x))) #s(literal 0 binary64)))
(-.f64 (log.f64 (*.f64 (neg.f64 x) x)) (log.f64 (*.f64 (neg.f64 x) (log.f64 x))))
(-.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (-.f64 (log.f64 (*.f64 (log.f64 x) x)) #s(literal 0 binary64)))
(-.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (log.f64 (*.f64 (log.f64 x) x)))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(+.f64 (neg.f64 (log.f64 (*.f64 (log.f64 x) x))) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(+.f64 (log.f64 (*.f64 (/.f64 x (log.f64 x)) x)) (neg.f64 (log.f64 x)))
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 x (log.f64 x))))
(+.f64 (log.f64 (*.f64 (neg.f64 x) x)) (neg.f64 (log.f64 (*.f64 (neg.f64 x) (log.f64 x)))))
(+.f64 (log.f64 (*.f64 (neg.f64 x) x)) (log.f64 (/.f64 #s(literal -1 binary64) (*.f64 (log.f64 x) x))))
(+.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal 0 binary64))
(+.f64 (neg.f64 (log.f64 (log.f64 x))) (log.f64 x))
(+.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (fma.f64 #s(literal -1 binary64) (log.f64 (*.f64 (log.f64 x) x)) #s(literal 0 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (neg.f64 (log.f64 (*.f64 (log.f64 x) x))))
(+.f64 (log.f64 x) (+.f64 (neg.f64 (log.f64 (log.f64 x))) #s(literal 0 binary64)))
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(log.f64 (/.f64 x (log.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) x)
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x (neg.f64 (neg.f64 x)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(*.f64 (neg.f64 (neg.f64 (log.f64 x))) x)
(*.f64 (neg.f64 (neg.f64 x)) (log.f64 x))
(*.f64 (neg.f64 (log.f64 x)) (neg.f64 x))
(*.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (log.f64 x)))
(*.f64 #s(literal 1 binary64) (*.f64 (log.f64 x) x))
(*.f64 (*.f64 (log.f64 x) x) #s(literal 1 binary64))
(*.f64 (log.f64 x) (/.f64 x #s(literal 1 binary64)))
(*.f64 (log.f64 x) (neg.f64 (neg.f64 x)))
(*.f64 (log.f64 x) x)
(*.f64 x (/.f64 (log.f64 x) #s(literal 1 binary64)))
(*.f64 x (neg.f64 (neg.f64 (log.f64 x))))
(*.f64 x (log.f64 x))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (log.f64 x) x) #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 x) (log.f64 x)) #s(literal -1 binary64))
(/.f64 (*.f64 (log.f64 x) x) #s(literal 1 binary64))
(neg.f64 (*.f64 (neg.f64 x) (log.f64 x)))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (log.f64 x)))
(log.f64 x)

eval31.0ms (0.9%)

Memory
-5.0MiB live, 73.5MiB allocated
Compiler

Compiled 2 713 to 457 computations (83.2% saved)

prune5.0ms (0.2%)

Memory
23.6MiB live, 23.6MiB allocated
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New2110211
Fresh000
Picked011
Done022
Total2113214
Accuracy
100.0%
Counts
214 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.5%
(log.f64 (/.f64 (*.f64 x x) (*.f64 (log.f64 x) x)))
100.0%
(log.f64 (/.f64 x (log.f64 x)))
24.7%
(log.f64 (*.f64 (log.f64 x) x))
Compiler

Compiled 62 to 34 computations (45.2% saved)

regimes9.0ms (0.3%)

Memory
-5.2MiB live, 34.0MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
(log.f64 (*.f64 (log.f64 x) x))
(log.f64 (/.f64 x (log.f64 x)))
(neg.f64 (log.f64 (/.f64 (log.f64 x) x)))
(log.f64 (/.f64 (*.f64 x x) (*.f64 (log.f64 x) x)))
(neg.f64 (log.f64 (*.f64 (/.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x x))) x)))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
Outputs
(log.f64 (/.f64 x (log.f64 x)))
Calls

3 calls:

4.0ms
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
3.0ms
(log.f64 x)
3.0ms
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 9 to 7 computations (22.2% saved)

regimes4.0ms (0.1%)

Memory
15.0MiB live, 15.0MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

1.0ms
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
1.0ms
(log.f64 x)
1.0ms
x
Results
AccuracySegmentsBranch
24.7%1x
24.7%1(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
24.7%1(log.f64 x)
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify74.0ms (2.1%)

Memory
-30.4MiB live, 65.1MiB allocated
Algorithm
egg-herbie
Rules
*-commutative-binary64-*.f64
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 (log.f64 x) x))
Outputs
(log.f64 (/.f64 x (log.f64 x)))
(log.f64 (*.f64 (log.f64 x) x))

soundness270.0ms (7.8%)

Memory
-7.4MiB live, 266.0MiB allocated
Rules
4 954×lower-fma.f64
4 954×lower-fma.f32
3 776×lower-*.f32
3 774×lower-*.f64
3 614×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0726
01326
13125
211825
377825
4787325
0889925
0411
0710
12410
215010
3139910
0971510
Stop Event
done
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 39 to 24 computations (38.5% saved)

preprocess33.0ms (1%)

Memory
-3.8MiB live, 77.7MiB allocated
Compiler

Compiled 32 to 20 computations (37.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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