Jmat.Real.lambertw, estimator

Time bar (total: 8.1s)

analyze1.0ms (0%)

Memory
2.7MiB live, 2.7MiB 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)

sample670.0ms (8.2%)

Memory
20.7MiB live, 1 137.9MiB allocated
Samples
433.0ms8 256×0valid
0.0ms11×0invalid
Precisions
Click to see histograms. Total time spent on operations: 260.0ms
ival-log: 202.0ms (77.8% of total)
ival-sub: 49.0ms (18.9% of total)
ival-true: 5.0ms (1.9% of total)
ival-assert: 3.0ms (1.2% of total)
Bogosity

preprocess25.0ms (0.3%)

Memory
-34.8MiB live, 48.6MiB 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)))

explain60.0ms (0.7%)

Memory
13.6MiB live, 134.2MiB 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
25.0ms512×0valid
Compiler

Compiled 42 to 20 computations (52.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-log: 12.0ms (82.2% of total)
ival-sub: 2.0ms (13.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
Compiler

Compiled 7 to 4 computations (42.9% saved)

simplify9.0ms (0.1%)

Memory
16.1MiB live, 16.1MiB 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))

localize19.0ms (0.2%)

Memory
-5.1MiB live, 34.0MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(log.f64 x)
accuracy99.9%
(log.f64 (log.f64 x))
accuracy99.6%
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
Samples
14.0ms256×0valid
Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-log: 7.0ms (82.9% of total)
ival-sub: 1.0ms (11.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series242.0ms (3%)

Memory
-6.6MiB live, 349.2MiB allocated
Counts
3 → 36
Calls
Call 1
Inputs
#<alt (-.f64 (log.f64 x) (log.f64 (log.f64 x)))>
#<alt (log.f64 x)>
#<alt (log.f64 (log.f64 x))>
Outputs
#<alt (- (log x) (log (log x)))>
#<alt (- (log x) (log (log x)))>
#<alt (- (log x) (log (log x)))>
#<alt (- (log x) (log (log x)))>
#<alt (- (* -1 (log (/ 1 x))) (log (* -1 (log (/ 1 x)))))>
#<alt (- (* -1 (log (/ 1 x))) (log (* -1 (log (/ 1 x)))))>
#<alt (- (* -1 (log (/ 1 x))) (log (* -1 (log (/ 1 x)))))>
#<alt (- (* -1 (log (/ 1 x))) (log (* -1 (log (/ 1 x)))))>
#<alt (- (+ (log -1) (* -1 (log (/ -1 x)))) (log (+ (log -1) (* -1 (log (/ -1 x))))))>
#<alt (- (+ (log -1) (* -1 (log (/ -1 x)))) (log (+ (log -1) (* -1 (log (/ -1 x))))))>
#<alt (- (+ (log -1) (* -1 (log (/ -1 x)))) (log (+ (log -1) (* -1 (log (/ -1 x))))))>
#<alt (- (+ (log -1) (* -1 (log (/ -1 x)))) (log (+ (log -1) (* -1 (log (/ -1 x))))))>
#<alt (log x)>
#<alt (log x)>
#<alt (log x)>
#<alt (log x)>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (log (log x))>
#<alt (log (log x))>
#<alt (log (log x))>
#<alt (log (log x))>
#<alt (log (* -1 (log (/ 1 x))))>
#<alt (log (* -1 (log (/ 1 x))))>
#<alt (log (* -1 (log (/ 1 x))))>
#<alt (log (* -1 (log (/ 1 x))))>
#<alt (log (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt (log (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt (log (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt (log (+ (log -1) (* -1 (log (/ -1 x)))))>
Calls

9 calls:

TimeVariablePointExpression
94.0ms
x
@-inf
(- (log x) (log (log x)))
46.0ms
x
@0
(- (log x) (log (log x)))
26.0ms
x
@inf
(- (log x) (log (log x)))
19.0ms
x
@0
(log (log x))
16.0ms
x
@-inf
(log (log x))

rewrite226.0ms (2.8%)

Memory
22.4MiB live, 337.7MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 954×lower-fma.f64
4 954×lower-fma.f32
3 078×lower-/.f64
3 078×lower-/.f32
2 794×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

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

simplify31.0ms (0.4%)

Memory
-20.0MiB live, 19.1MiB allocated
Algorithm
egg-herbie
Rules
384×lower-fma.f64
384×lower-fma.f32
160×lower-*.f64
160×lower-*.f32
136×lower-+.f64
Iterations

Useful iterations: 1 (0.0ms)

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

eval49.0ms (0.6%)

Memory
0.3MiB live, 56.6MiB allocated
Compiler

Compiled 9 031 to 693 computations (92.3% saved)

prune51.0ms (0.6%)

Memory
-21.5MiB live, 89.6MiB allocated
Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New30716323
Fresh000
Picked011
Done000
Total30717324
Accuracy
100.0%
Counts
324 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.8%
(/.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (neg.f64 (log.f64 (*.f64 x (log.f64 x)))) (*.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))))
97.4%
(/.f64 (-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 3 binary64))) (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 6 binary64)) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x))))))))
97.8%
(/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))) (log.f64 (*.f64 x (log.f64 x)))) (*.f64 (log.f64 (*.f64 x (log.f64 x))) (/.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))))
97.8%
(/.f64 (-.f64 (log.f64 (*.f64 x (log.f64 x))) (*.f64 (/.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))) (*.f64 (/.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log.f64 (*.f64 x (log.f64 x)))))
99.1%
(/.f64 (+.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (log.f64 x)))))))
25.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 x (log.f64 x)))))
98.0%
(-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))))
99.0%
(-.f64 (/.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (log.f64 x)))))) (/.f64 (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (log.f64 x)))))))
99.3%
(-.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 0 binary64))))) (log.f64 (log.f64 x)))
99.6%
(-.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64)) (log.f64 x)) (log.f64 (log.f64 x)))
97.9%
(-.f64 (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))) (/.f64 (*.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))))
99.0%
(-.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 1/2 binary64)) (pow.f64 (log.f64 x) #s(literal 1/2 binary64))) (log.f64 (log.f64 x)))
99.6%
(-.f64 (log.f64 x) (*.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x)))))
99.6%
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
99.6%
(-.f64 (log.f64 x) (exp.f64 (log.f64 (log.f64 (log.f64 x)))))
98.3%
(-.f64 (exp.f64 (log.f64 (log.f64 x))) (log.f64 (log.f64 x)))
25.0%
(log.f64 (*.f64 x (log.f64 x)))
Compiler

Compiled 911 to 378 computations (58.5% saved)

simplify181.0ms (2.2%)

Memory
36.9MiB live, 238.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))))
cost-diff6976
(*.f64 (log.f64 (*.f64 x (log.f64 x))) (/.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))))
cost-diff13120
(-.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))) (log.f64 (*.f64 x (log.f64 x))))
cost-diff40576
(/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))) (log.f64 (*.f64 x (log.f64 x)))) (*.f64 (log.f64 (*.f64 x (log.f64 x))) (/.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))))
cost-diff0
(log.f64 x)
cost-diff0
(pow.f64 (log.f64 x) #s(literal 2 binary64))
cost-diff13440
(fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (neg.f64 (log.f64 (*.f64 x (log.f64 x)))) (*.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))))
cost-diff20032
(/.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (neg.f64 (log.f64 (*.f64 x (log.f64 x)))) (*.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))))
cost-diff0
(pow.f64 (log.f64 x) #s(literal 2 binary64))
cost-diff0
(-.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64)) (log.f64 x)) (log.f64 (log.f64 x)))
cost-diff192
(-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64))
cost-diff13568
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64)) (log.f64 x))
cost-diff0
(log.f64 x)
cost-diff0
(*.f64 x (log.f64 x))
cost-diff0
(log.f64 (*.f64 x (log.f64 x)))
cost-diff0
(pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))
cost-diff0
(log.f64 x)
cost-diff0
(-.f64 (log.f64 x) (*.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x)))))
cost-diff20288
(*.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x))))
Rules
4 408×lower-fma.f32
4 406×lower-fma.f64
4 154×lower-*.f32
4 144×lower-*.f64
2 060×lower-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
027336
051347
195333
2235273
3767251
44249251
08225251
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 (log.f64 x) (*.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x)))))
(log.f64 x)
x
(*.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x))))
(pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))
(log.f64 (log.f64 x))
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x)))
#s(literal 1 binary64)
(log.f64 (*.f64 x (log.f64 x)))
(*.f64 x (log.f64 x))
x
(log.f64 x)
(-.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64)) (log.f64 x)) (log.f64 (log.f64 x)))
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64)) (log.f64 x))
(-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64))
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(log.f64 x)
x
#s(literal 2 binary64)
#s(literal 0 binary64)
(log.f64 (log.f64 x))
(/.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (neg.f64 (log.f64 (*.f64 x (log.f64 x)))) (*.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (neg.f64 (log.f64 (*.f64 x (log.f64 x)))) (*.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))))
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(log.f64 x)
x
#s(literal 2 binary64)
(neg.f64 (log.f64 (*.f64 x (log.f64 x))))
(log.f64 (*.f64 x (log.f64 x)))
(*.f64 x (log.f64 x))
(*.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))
(pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))
(log.f64 (log.f64 x))
(neg.f64 (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64)))
(pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))) (log.f64 (*.f64 x (log.f64 x)))) (*.f64 (log.f64 (*.f64 x (log.f64 x))) (/.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))))
(-.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))) (log.f64 (*.f64 x (log.f64 x))))
(*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))))
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(log.f64 x)
x
#s(literal 2 binary64)
(/.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))
(log.f64 (*.f64 x (log.f64 x)))
(*.f64 x (log.f64 x))
(pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))
(log.f64 (log.f64 x))
(*.f64 (log.f64 (*.f64 x (log.f64 x))) (/.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))))
Outputs
(-.f64 (log.f64 x) (*.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x)))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(log.f64 x)
x
(*.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))
(log.f64 (log.f64 x))
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x)))
#s(literal 1 binary64)
(log.f64 (*.f64 x (log.f64 x)))
(*.f64 x (log.f64 x))
x
(log.f64 x)
(-.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64)) (log.f64 x)) (log.f64 (log.f64 x)))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64)) (log.f64 x))
(log.f64 x)
(-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64))
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(log.f64 x)
x
#s(literal 2 binary64)
#s(literal 0 binary64)
(log.f64 (log.f64 x))
(/.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (neg.f64 (log.f64 (*.f64 x (log.f64 x)))) (*.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))) (log.f64 (*.f64 x (log.f64 x))))
(fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (neg.f64 (log.f64 (*.f64 x (log.f64 x)))) (*.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))))
(*.f64 (log.f64 (*.f64 x (log.f64 x))) (-.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 x) #s(literal 2 binary64))
(log.f64 x)
x
#s(literal 2 binary64)
(neg.f64 (log.f64 (*.f64 x (log.f64 x))))
(log.f64 (*.f64 x (log.f64 x)))
(*.f64 x (log.f64 x))
(*.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x))))
(pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))
(log.f64 (log.f64 x))
(neg.f64 (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64)))
(pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))) (log.f64 (*.f64 x (log.f64 x)))) (*.f64 (log.f64 (*.f64 x (log.f64 x))) (/.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))) (log.f64 (*.f64 x (log.f64 x))))
(-.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))) (log.f64 (*.f64 x (log.f64 x))))
(*.f64 (log.f64 (*.f64 x (log.f64 x))) (+.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))))
(*.f64 (log.f64 (*.f64 x (log.f64 x))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))))
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(log.f64 x)
x
#s(literal 2 binary64)
(/.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))
(log.f64 (*.f64 x (log.f64 x)))
(*.f64 x (log.f64 x))
(pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))
(log.f64 (log.f64 x))
(*.f64 (log.f64 (*.f64 x (log.f64 x))) (/.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))))
(/.f64 (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))

localize158.0ms (1.9%)

Memory
-34.7MiB live, 161.5MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy99.4%
(/.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))
accuracy99.2%
(pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))
accuracy99.1%
(pow.f64 (log.f64 x) #s(literal 2 binary64))
accuracy98.9%
(log.f64 (*.f64 x (log.f64 x)))
accuracy99.2%
(pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))
accuracy99.2%
(pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))
accuracy99.1%
(pow.f64 (log.f64 x) #s(literal 2 binary64))
accuracy98.9%
(log.f64 (*.f64 x (log.f64 x)))
accuracy99.9%
(log.f64 (log.f64 x))
accuracy99.6%
(-.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64)) (log.f64 x)) (log.f64 (log.f64 x)))
accuracy99.1%
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64)) (log.f64 x))
accuracy99.1%
(pow.f64 (log.f64 x) #s(literal 2 binary64))
accuracy100.0%
(log.f64 x)
accuracy99.6%
(*.f64 x (log.f64 x))
accuracy98.9%
(log.f64 (*.f64 x (log.f64 x)))
accuracy99.7%
(/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x)))
accuracy99.6%
(-.f64 (log.f64 x) (*.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x)))))
accuracy99.4%
(*.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x))))
accuracy99.2%
(pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))
Samples
113.0ms256×0valid
Compiler

Compiled 340 to 30 computations (91.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 70.0ms
ival-sub: 35.0ms (49.8% of total)
ival-log: 10.0ms (14.2% of total)
ival-mult: 8.0ms (11.4% of total)
ival-div: 7.0ms (10% of total)
ival-pow2: 7.0ms (10% of total)
ival-neg: 2.0ms (2.8% of total)
ival-add: 1.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series1.0s (12.5%)

Memory
29.6MiB live, 1 735.3MiB allocated
Counts
20 → 240
Calls
Call 1
Inputs
#<alt (*.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x))))>
#<alt (-.f64 (log.f64 x) (*.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x)))))>
#<alt (log.f64 x)>
#<alt (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))>
#<alt (log.f64 (*.f64 x (log.f64 x)))>
#<alt (*.f64 x (log.f64 x))>
#<alt (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64)) (log.f64 x))>
#<alt (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64))>
#<alt (-.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64)) (log.f64 x)) (log.f64 (log.f64 x)))>
#<alt (pow.f64 (log.f64 x) #s(literal 2 binary64))>
#<alt (/.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (neg.f64 (log.f64 (*.f64 x (log.f64 x)))) (*.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))))>
#<alt (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (neg.f64 (log.f64 (*.f64 x (log.f64 x)))) (*.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))))>
#<alt (/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))) (log.f64 (*.f64 x (log.f64 x)))) (*.f64 (log.f64 (*.f64 x (log.f64 x))) (/.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))))>
#<alt (-.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))) (log.f64 (*.f64 x (log.f64 x))))>
#<alt (*.f64 (log.f64 (*.f64 x (log.f64 x))) (/.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x)))>
#<alt (log.f64 (log.f64 x))>
#<alt (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))>
#<alt (/.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))>
Outputs
#<alt (log (log x))>
#<alt (log (log x))>
#<alt (log (log x))>
#<alt (log (log x))>
#<alt (log (* -1 (log (/ 1 x))))>
#<alt (log (* -1 (log (/ 1 x))))>
#<alt (log (* -1 (log (/ 1 x))))>
#<alt (log (* -1 (log (/ 1 x))))>
#<alt (log (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt (log (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt (log (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt (log (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt (- (log x) (log (log x)))>
#<alt (- (log x) (log (log x)))>
#<alt (- (log x) (log (log x)))>
#<alt (- (log x) (log (log x)))>
#<alt (- (* -1 (log (/ 1 x))) (log (* -1 (log (/ 1 x)))))>
#<alt (- (* -1 (log (/ 1 x))) (log (* -1 (log (/ 1 x)))))>
#<alt (- (* -1 (log (/ 1 x))) (log (* -1 (log (/ 1 x)))))>
#<alt (- (* -1 (log (/ 1 x))) (log (* -1 (log (/ 1 x)))))>
#<alt (- (+ (log -1) (* -1 (log (/ -1 x)))) (log (+ (log -1) (* -1 (log (/ -1 x))))))>
#<alt (- (+ (log -1) (* -1 (log (/ -1 x)))) (log (+ (log -1) (* -1 (log (/ -1 x))))))>
#<alt (- (+ (log -1) (* -1 (log (/ -1 x)))) (log (+ (log -1) (* -1 (log (/ -1 x))))))>
#<alt (- (+ (log -1) (* -1 (log (/ -1 x)))) (log (+ (log -1) (* -1 (log (/ -1 x))))))>
#<alt (log x)>
#<alt (log x)>
#<alt (log x)>
#<alt (log x)>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (pow (log (log x)) 2)>
#<alt (pow (log (log x)) 2)>
#<alt (pow (log (log x)) 2)>
#<alt (pow (log (log x)) 2)>
#<alt (pow (log (* -1 (log (/ 1 x)))) 2)>
#<alt (pow (log (* -1 (log (/ 1 x)))) 2)>
#<alt (pow (log (* -1 (log (/ 1 x)))) 2)>
#<alt (pow (log (* -1 (log (/ 1 x)))) 2)>
#<alt (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2)>
#<alt (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2)>
#<alt (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2)>
#<alt (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2)>
#<alt (+ (log x) (log (log x)))>
#<alt (+ (log x) (log (log x)))>
#<alt (+ (log x) (log (log x)))>
#<alt (+ (log x) (log (log x)))>
#<alt (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))>
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#<alt (pow (+ (log x) (log (log x))) 2)>
#<alt (pow (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))) 2)>
#<alt (pow (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))) 2)>
#<alt (pow (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))) 2)>
#<alt (pow (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))) 2)>
#<alt (pow (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))) 2)>
#<alt (pow (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))) 2)>
#<alt (pow (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))) 2)>
#<alt (pow (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))) 2)>
#<alt (/ (+ (log x) (log (log x))) (pow (log (log x)) 2))>
#<alt (/ (+ (log x) (log (log x))) (pow (log (log x)) 2))>
#<alt (/ (+ (log x) (log (log x))) (pow (log (log x)) 2))>
#<alt (/ (+ (log x) (log (log x))) (pow (log (log x)) 2))>
#<alt (/ (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))) (pow (log (* -1 (log (/ 1 x)))) 2))>
#<alt (/ (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))) (pow (log (* -1 (log (/ 1 x)))) 2))>
#<alt (/ (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))) (pow (log (* -1 (log (/ 1 x)))) 2))>
#<alt (/ (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))) (pow (log (* -1 (log (/ 1 x)))) 2))>
#<alt (/ (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))) (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2))>
#<alt (/ (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))) (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2))>
#<alt (/ (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))) (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2))>
#<alt (/ (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))) (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2))>
Calls

60 calls:

TimeVariablePointExpression
44.0ms
x
@inf
(/ (- (* (pow (log x) 2) (/ (log (* x (log x))) (pow (log (log x)) 2))) (log (* x (log x)))) (* (log (* x (log x))) (/ (log (* x (log x))) (pow (log (log x)) 2))))
41.0ms
x
@-inf
(+ (* (pow (log x) 2) (neg (log (* x (log x))))) (* (log (* x (log x))) (pow (log (log x)) 2)))
28.0ms
x
@-inf
(* (pow (log x) 2) (/ (log (* x (log x))) (pow (log (log x)) 2)))
28.0ms
x
@-inf
(/ (+ (* (pow (log x) 2) (neg (log (* x (log x))))) (* (log (* x (log x))) (pow (log (log x)) 2))) (neg (pow (log (* x (log x))) 2)))
28.0ms
x
@0
(/ (+ (* (pow (log x) 2) (neg (log (* x (log x))))) (* (log (* x (log x))) (pow (log (log x)) 2))) (neg (pow (log (* x (log x))) 2)))

rewrite363.0ms (4.5%)

Memory
19.2MiB live, 444.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
3 720×lower-fma.f32
3 718×lower-fma.f64
3 688×lower-*.f32
3 678×lower-*.f64
3 520×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
027247
051231
1206207
21711191
08793191
Stop Event
iter limit
node limit
iter limit
Counts
20 → 1 700
Calls
Call 1
Inputs
(*.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x))))
(-.f64 (log.f64 x) (*.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x)))))
(log.f64 x)
(pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))
(log.f64 (*.f64 x (log.f64 x)))
(*.f64 x (log.f64 x))
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64)) (log.f64 x))
(-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64))
(-.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64)) (log.f64 x)) (log.f64 (log.f64 x)))
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(/.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (neg.f64 (log.f64 (*.f64 x (log.f64 x)))) (*.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (neg.f64 (log.f64 (*.f64 x (log.f64 x)))) (*.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))) (log.f64 (*.f64 x (log.f64 x)))) (*.f64 (log.f64 (*.f64 x (log.f64 x))) (/.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))))
(-.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))) (log.f64 (*.f64 x (log.f64 x))))
(*.f64 (log.f64 (*.f64 x (log.f64 x))) (/.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x)))
(log.f64 (log.f64 x))
(pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))
(/.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))
Outputs
(log.f64 (log.f64 x))
(+.f64 (log.f64 (log.f64 x)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (log.f64 (log.f64 x)))
(+.f64 (neg.f64 (log.f64 (log.f64 x))) (*.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))
(+.f64 (*.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (neg.f64 (log.f64 (log.f64 x))))
(+.f64 (log.f64 (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (log.f64 x))) (log.f64 (sqrt.f64 (log.f64 x))))
(exp.f64 (log.f64 (log.f64 (log.f64 x))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 (log.f64 (log.f64 x))) (*.f64 (log.f64 (log.f64 (log.f64 x))) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 (log.f64 (log.f64 x))) #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 (log.f64 x))))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (log.f64 (log.f64 x))) #s(literal -1 binary64))))
(exp.f64 (-.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 (log.f64 x)))) (log.f64 (log.f64 (log.f64 x)))))
(-.f64 #s(literal 0 binary64) (neg.f64 (log.f64 (log.f64 x))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 x)) #s(literal 1 binary64))))
(-.f64 (*.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 (log.f64 x)))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (log.f64 x)))))
(-.f64 (log.f64 (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (log.f64 (neg.f64 (log.f64 x))))
(-.f64 (log.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64))) (log.f64 (pow.f64 (log.f64 x) #s(literal 5 binary64))))
(-.f64 (log.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64))) (log.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64))))
(-.f64 (log.f64 (pow.f64 (log.f64 x) #s(literal 5 binary64))) (log.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64))))
(-.f64 (log.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))
(-.f64 (log.f64 (-.f64 (log.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 x)) #s(literal 0 binary64)))) #s(literal 0 binary64))
(-.f64 (log.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 (log.f64 x) #s(literal 0 binary64)))) (*.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))
(-.f64 (log.f64 (-.f64 (*.f64 (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log.f64 x)) (*.f64 (neg.f64 (log.f64 x)) #s(literal 0 binary64)))) (log.f64 (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(-.f64 (log.f64 (neg.f64 (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))))) (log.f64 (neg.f64 (neg.f64 (log.f64 x)))))
(-.f64 (log.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 0 binary64))) (log.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 0 binary64))))))
(fma.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64) (neg.f64 (log.f64 (log.f64 x))))
(fma.f64 (log.f64 (log.f64 x)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (log.f64 (log.f64 x)) (neg.f64 (log.f64 (log.f64 x))))
(fma.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x)))) (*.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))
(fma.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x))) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (log.f64 (log.f64 x)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (neg.f64 (log.f64 (log.f64 x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x))) (neg.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))) (*.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))
(fma.f64 #s(literal -1 binary64) (log.f64 (log.f64 x)) (*.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 (log.f64 x))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x))) (*.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (log.f64 (log.f64 x))) (sqrt.f64 (log.f64 (log.f64 x))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x)))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (*.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))
(fma.f64 (*.f64 (neg.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x))) (*.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x))) #s(literal 1 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (sqrt.f64 (log.f64 (log.f64 x))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (log.f64 (log.f64 x))) #s(literal 1 binary64)) #s(literal 0 binary64))
(neg.f64 (neg.f64 (log.f64 (log.f64 x))))
(neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 x)) #s(literal 1 binary64))))
(/.f64 (log.f64 (log.f64 x)) #s(literal 1 binary64))
(/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 (log.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x)))))
(/.f64 (neg.f64 (log.f64 (log.f64 x))) #s(literal -1 binary64))
(/.f64 (neg.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))) (neg.f64 (log.f64 (log.f64 x))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))) (log.f64 (log.f64 x)))
(/.f64 (*.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal -1 binary64)) (neg.f64 (log.f64 (log.f64 x))))
(/.f64 (neg.f64 (*.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal -1 binary64))) (log.f64 (log.f64 x)))
(pow.f64 (log.f64 (log.f64 x)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x))) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (log.f64 (log.f64 x))) #s(literal 2 binary64))
(*.f64 (log.f64 (log.f64 x)) #s(literal 1 binary64))
(*.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x))))
(*.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x))) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (log.f64 (log.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 (log.f64 x))))
(*.f64 (sqrt.f64 (log.f64 (log.f64 x))) (sqrt.f64 (log.f64 (log.f64 x))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x))) #s(literal 1 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 (log.f64 x))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (log.f64 (log.f64 x))) #s(literal 1 binary64)))
(log.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (log.f64 x))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 x)) x))
(log.f64 (/.f64 x (log.f64 x)))
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(+.f64 (neg.f64 (log.f64 (log.f64 x))) (log.f64 x))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))))
(-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) (fma.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(fma.f64 (log.f64 x) #s(literal 1 binary64) (neg.f64 (log.f64 (log.f64 x))))
(fma.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x)))) (log.f64 x))
(fma.f64 #s(literal 1 binary64) (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x))) (neg.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))) (log.f64 x))
(fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 x)) (neg.f64 (log.f64 (log.f64 x))))
(fma.f64 #s(literal -1 binary64) (log.f64 (log.f64 x)) (log.f64 x))
(fma.f64 (neg.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x))) (log.f64 x))
(fma.f64 (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) (neg.f64 (log.f64 (log.f64 x))))
(fma.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal -2 binary64)) (neg.f64 (log.f64 (log.f64 x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (log.f64 x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (neg.f64 (log.f64 (log.f64 x))))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (neg.f64 (log.f64 (log.f64 x))))
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x)))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 x))
(fma.f64 (*.f64 (neg.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x))) (log.f64 x))
(fma.f64 (pow.f64 (sqrt.f64 (log.f64 x)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (log.f64 x)) #s(literal 1 binary64)) (neg.f64 (log.f64 (log.f64 x))))
(fma.f64 (pow.f64 (pow.f64 (log.f64 x) #s(literal -5 binary64)) #s(literal -1 binary64)) (pow.f64 (log.f64 x) #s(literal -4 binary64)) (neg.f64 (log.f64 (log.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 x (log.f64 x))) (*.f64 (log.f64 (*.f64 x (log.f64 x))) (log.f64 (/.f64 x (log.f64 x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (log.f64 (*.f64 x (log.f64 x))) (*.f64 (log.f64 (*.f64 x (log.f64 x))) (log.f64 (/.f64 x (log.f64 x)))))))
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(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x))) (pow.f64 (/.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x)))) #s(literal -1 binary64)))
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simplify638.0ms (7.8%)

Memory
-115.7MiB live, 514.0MiB allocated
Algorithm
egg-herbie
Rules
11 890×lower-fma.f64
11 890×lower-fma.f32
4 650×lower-*.f64
4 650×lower-*.f32
4 414×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0763912
12183456
29663376
325392968
083692956
Stop Event
iter limit
node limit
Counts
240 → 240
Calls
Call 1
Inputs
(log (log x))
(log (log x))
(log (log x))
(log (log x))
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(/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x)))
(/ 1 (log (log x)))
(/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x)))
(/ 1 (log (* -1 (log (/ 1 x)))))
(/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x)))
(/ 1 (log (* -1 (log (/ 1 x)))))
(/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x)))
(/ 1 (log (* -1 (log (/ 1 x)))))
(/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x)))
(/ 1 (log (* -1 (log (/ 1 x)))))
(/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x)))
(/ 1 (log (+ (log -1) (* -1 (log (/ -1 x))))))
(/.f64 #s(literal 1 binary64) (log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
(/ 1 (log (+ (log -1) (* -1 (log (/ -1 x))))))
(/.f64 #s(literal 1 binary64) (log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
(/ 1 (log (+ (log -1) (* -1 (log (/ -1 x))))))
(/.f64 #s(literal 1 binary64) (log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
(/ 1 (log (+ (log -1) (* -1 (log (/ -1 x))))))
(/.f64 #s(literal 1 binary64) (log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
(log (log x))
(log.f64 (log.f64 x))
(log (log x))
(log.f64 (log.f64 x))
(log (log x))
(log.f64 (log.f64 x))
(log (log x))
(log.f64 (log.f64 x))
(log (* -1 (log (/ 1 x))))
(log.f64 (log.f64 x))
(log (* -1 (log (/ 1 x))))
(log.f64 (log.f64 x))
(log (* -1 (log (/ 1 x))))
(log.f64 (log.f64 x))
(log (* -1 (log (/ 1 x))))
(log.f64 (log.f64 x))
(log (+ (log -1) (* -1 (log (/ -1 x)))))
(log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(log (+ (log -1) (* -1 (log (/ -1 x)))))
(log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(log (+ (log -1) (* -1 (log (/ -1 x)))))
(log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(log (+ (log -1) (* -1 (log (/ -1 x)))))
(log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(pow (+ (log x) (log (log x))) 2)
(pow.f64 (+.f64 (log.f64 x) (log.f64 (log.f64 x))) #s(literal 2 binary64))
(pow (+ (log x) (log (log x))) 2)
(pow.f64 (+.f64 (log.f64 x) (log.f64 (log.f64 x))) #s(literal 2 binary64))
(pow (+ (log x) (log (log x))) 2)
(pow.f64 (+.f64 (log.f64 x) (log.f64 (log.f64 x))) #s(literal 2 binary64))
(pow (+ (log x) (log (log x))) 2)
(pow.f64 (+.f64 (log.f64 x) (log.f64 (log.f64 x))) #s(literal 2 binary64))
(pow (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))) 2)
(pow.f64 (+.f64 (log.f64 x) (log.f64 (log.f64 x))) #s(literal 2 binary64))
(pow (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))) 2)
(pow.f64 (+.f64 (log.f64 x) (log.f64 (log.f64 x))) #s(literal 2 binary64))
(pow (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))) 2)
(pow.f64 (+.f64 (log.f64 x) (log.f64 (log.f64 x))) #s(literal 2 binary64))
(pow (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))) 2)
(pow.f64 (+.f64 (log.f64 x) (log.f64 (log.f64 x))) #s(literal 2 binary64))
(pow (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))) 2)
(pow.f64 (-.f64 (log.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))
(pow (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))) 2)
(pow.f64 (-.f64 (log.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))
(pow (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))) 2)
(pow.f64 (-.f64 (log.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))
(pow (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))) 2)
(pow.f64 (-.f64 (log.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))
(/ (+ (log x) (log (log x))) (pow (log (log x)) 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) (log.f64 (log.f64 x)))) (log.f64 (log.f64 x)))
(/ (+ (log x) (log (log x))) (pow (log (log x)) 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) (log.f64 (log.f64 x)))) (log.f64 (log.f64 x)))
(/ (+ (log x) (log (log x))) (pow (log (log x)) 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) (log.f64 (log.f64 x)))) (log.f64 (log.f64 x)))
(/ (+ (log x) (log (log x))) (pow (log (log x)) 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) (log.f64 (log.f64 x)))) (log.f64 (log.f64 x)))
(/ (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))) (pow (log (* -1 (log (/ 1 x)))) 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) (log.f64 (log.f64 x)))) (log.f64 (log.f64 x)))
(/ (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))) (pow (log (* -1 (log (/ 1 x)))) 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) (log.f64 (log.f64 x)))) (log.f64 (log.f64 x)))
(/ (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))) (pow (log (* -1 (log (/ 1 x)))) 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) (log.f64 (log.f64 x)))) (log.f64 (log.f64 x)))
(/ (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))) (pow (log (* -1 (log (/ 1 x)))) 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) (log.f64 (log.f64 x)))) (log.f64 (log.f64 x)))
(/ (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))) (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2))
(/.f64 (-.f64 (log.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) x))) (pow.f64 (log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64)))
(/ (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))) (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2))
(/.f64 (-.f64 (log.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) x))) (pow.f64 (log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64)))
(/ (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))) (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2))
(/.f64 (-.f64 (log.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) x))) (pow.f64 (log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64)))
(/ (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))) (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2))
(/.f64 (-.f64 (log.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) x))) (pow.f64 (log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64)))

eval1.2s (14.4%)

Memory
85.1MiB live, 1 628.5MiB allocated
Compiler

Compiled 249 096 to 13 892 computations (94.4% saved)

prune872.0ms (10.7%)

Memory
-53.1MiB live, 1 185.7MiB allocated
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New5 98915 990
Fresh11011
Picked415
Done011
Total6 00436 007
Accuracy
100.0%
Counts
6 007 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
100.0%
(log.f64 (/.f64 x (log.f64 x)))
25.0%
(log.f64 (*.f64 x (log.f64 x)))
Compiler

Compiled 19 to 12 computations (36.8% saved)

simplify4.0ms (0%)

Memory
7.1MiB live, 7.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize19.0ms (0.2%)

Memory
-10.6MiB live, 27.7MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(log.f64 (/.f64 x (log.f64 x)))
accuracy100.0%
(log.f64 x)
accuracy99.6%
(/.f64 x (log.f64 x))
Samples
14.0ms256×0valid
Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-log: 7.0ms (77.7% of total)
ival-div: 2.0ms (22.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series216.0ms (2.7%)

Memory
7.1MiB live, 269.8MiB allocated
Counts
3 → 36
Calls
Call 1
Inputs
#<alt (log.f64 (/.f64 x (log.f64 x)))>
#<alt (/.f64 x (log.f64 x))>
#<alt (log.f64 x)>
Outputs
#<alt (+ (log x) (log (/ 1 (log x))))>
#<alt (+ (log x) (log (/ 1 (log x))))>
#<alt (+ (log x) (log (/ 1 (log x))))>
#<alt (+ (log x) (log (/ 1 (log x))))>
#<alt (+ (log (/ -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))>
#<alt (+ (log (/ -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))>
#<alt (+ (log (/ -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))>
#<alt (+ (log (/ -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))>
#<alt (+ (log (/ -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))>
#<alt (+ (log (/ -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))>
#<alt (+ (log (/ -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))>
#<alt (+ (log (/ -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))>
#<alt (/ x (log x))>
#<alt (/ x (log x))>
#<alt (/ x (log x))>
#<alt (/ x (log x))>
#<alt (* -1 (/ x (log (/ 1 x))))>
#<alt (* -1 (/ x (log (/ 1 x))))>
#<alt (* -1 (/ x (log (/ 1 x))))>
#<alt (* -1 (/ x (log (/ 1 x))))>
#<alt (/ x (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt (/ x (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt (/ x (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt (/ x (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt (log x)>
#<alt (log x)>
#<alt (log x)>
#<alt (log x)>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
Calls

9 calls:

TimeVariablePointExpression
71.0ms
x
@inf
(log (/ x (log x)))
64.0ms
x
@-inf
(log (/ x (log x)))
23.0ms
x
@0
(log (/ x (log x)))
15.0ms
x
@0
(/ x (log x))
9.0ms
x
@-inf
(log x)

rewrite272.0ms (3.3%)

Memory
-9.1MiB live, 396.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
3 778×lower-*.f64
3 778×lower-*.f32
3 560×lower-fma.f64
3 560×lower-fma.f32
2 150×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

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

simplify38.0ms (0.5%)

Memory
7.9MiB live, 45.6MiB allocated
Algorithm
egg-herbie
Rules
352×lower-fma.f64
352×lower-fma.f32
256×lower-*.f64
256×lower-*.f32
136×lower-+.f64
Iterations

Useful iterations: 7 (0.0ms)

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

eval83.0ms (1%)

Memory
26.9MiB live, 173.7MiB allocated
Compiler

Compiled 15 640 to 1 670 computations (89.3% saved)

prune145.0ms (1.8%)

Memory
-17.5MiB live, 197.2MiB allocated
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New7031704
Fresh000
Picked011
Done112
Total7043707
Accuracy
100.0%
Counts
707 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
30.9%
(log.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (log.f64 x))))
100.0%
(log.f64 (/.f64 x (log.f64 x)))
25.0%
(log.f64 (*.f64 x (log.f64 x)))
Compiler

Compiled 26 to 15 computations (42.3% saved)

simplify174.0ms (2.1%)

Memory
10.4MiB live, 202.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 x (*.f64 x x))
cost-diff0
(log.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (log.f64 x))))
cost-diff1280
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (log.f64 x)))
Rules
5 506×lower-*.f32
5 500×lower-*.f64
1 958×cube-prod
1 844×lower-/.f32
1 842×lower-/.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0742
01336
12636
26528
314424
423824
5105524
6127824
7160724
8265624
9490024
10719224
0804124
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(log.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (log.f64 x))))
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (log.f64 x)))
(*.f64 x (*.f64 x x))
x
(*.f64 x x)
(*.f64 (*.f64 x x) (log.f64 x))
(log.f64 x)
Outputs
(log.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (log.f64 x))))
(log.f64 (/.f64 x (log.f64 x)))
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (log.f64 x)))
(/.f64 x (log.f64 x))
(*.f64 x (*.f64 x x))
x
(*.f64 x x)
(*.f64 (*.f64 x x) (log.f64 x))
(log.f64 x)

localize28.0ms (0.3%)

Memory
-4.6MiB live, 39.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(log.f64 x)
accuracy99.9%
(*.f64 x (*.f64 x x))
accuracy99.7%
(*.f64 (*.f64 x x) (log.f64 x))
accuracy34.8%
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (log.f64 x)))
Samples
20.0ms256×0valid
Compiler

Compiled 44 to 9 computations (79.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-log: 8.0ms (56.6% of total)
ival-mult: 4.0ms (28.3% of total)
ival-div: 1.0ms (7.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series133.0ms (1.6%)

Memory
15.7MiB live, 212.9MiB allocated
Counts
6 → 72
Calls
Call 1
Inputs
#<alt (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (log.f64 x)))>
#<alt (log.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (log.f64 x))))>
#<alt (*.f64 x (*.f64 x x))>
#<alt (*.f64 x x)>
#<alt (*.f64 (*.f64 x x) (log.f64 x))>
#<alt (log.f64 x)>
Outputs
#<alt (/ x (log x))>
#<alt (/ x (log x))>
#<alt (/ x (log x))>
#<alt (/ x (log x))>
#<alt (* -1 (/ x (log (/ 1 x))))>
#<alt (* -1 (/ x (log (/ 1 x))))>
#<alt (* -1 (/ x (log (/ 1 x))))>
#<alt (* -1 (/ x (log (/ 1 x))))>
#<alt (/ x (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt (/ x (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt (/ x (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt (/ x (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt (+ (log x) (log (/ 1 (log x))))>
#<alt (+ (log x) (log (/ 1 (log x))))>
#<alt (+ (log x) (log (/ 1 (log x))))>
#<alt (+ (log x) (log (/ 1 (log x))))>
#<alt (+ (log (/ -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))>
#<alt (+ (log (/ -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))>
#<alt (+ (log (/ -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))>
#<alt (+ (log (/ -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))>
#<alt (+ (log (/ -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))>
#<alt (+ (log (/ -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))>
#<alt (+ (log (/ -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))>
#<alt (+ (log (/ -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (log x))>
#<alt (* (pow x 2) (log x))>
#<alt (* (pow x 2) (log x))>
#<alt (* (pow x 2) (log x))>
#<alt (* -1 (* (pow x 2) (log (/ 1 x))))>
#<alt (* -1 (* (pow x 2) (log (/ 1 x))))>
#<alt (* -1 (* (pow x 2) (log (/ 1 x))))>
#<alt (* -1 (* (pow x 2) (log (/ 1 x))))>
#<alt (* (pow x 2) (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt (* (pow x 2) (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt (* (pow x 2) (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt (* (pow x 2) (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt (log x)>
#<alt (log x)>
#<alt (log x)>
#<alt (log x)>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
Calls

18 calls:

TimeVariablePointExpression
20.0ms
x
@0
(log x)
19.0ms
x
@-inf
(log (/ (* x (* x x)) (* (* x x) (log x))))
17.0ms
x
@inf
(log (/ (* x (* x x)) (* (* x x) (log x))))
15.0ms
x
@0
(log (/ (* x (* x x)) (* (* x x) (log x))))
11.0ms
x
@inf
(/ (* x (* x x)) (* (* x x) (log x)))

rewrite242.0ms (3%)

Memory
-47.6MiB live, 334.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
3 594×lower-fma.f64
3 594×lower-fma.f32
3 130×lower-*.f32
3 124×lower-*.f64
2 952×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0741
01335
13927
222423
3195823
0848123
Stop Event
iter limit
node limit
iter limit
Counts
6 → 649
Calls
Call 1
Inputs
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (log.f64 x)))
(log.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (log.f64 x))))
(*.f64 x (*.f64 x x))
(*.f64 x x)
(*.f64 (*.f64 x x) (log.f64 x))
(log.f64 x)
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 x (log.f64 x)))
(exp.f64 (log.f64 (/.f64 x (log.f64 x))))
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 x (log.f64 x))))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (/.f64 x (log.f64 x))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x (log.f64 x)))) (neg.f64 (/.f64 x (log.f64 x))))
(-.f64 (/.f64 #s(literal 0 binary64) (log.f64 x)) (neg.f64 (/.f64 x (log.f64 x))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (log.f64 x))) (neg.f64 (/.f64 x (log.f64 x))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 (log.f64 x) (*.f64 x x)) (*.f64 x x))) (/.f64 (neg.f64 x) (*.f64 (/.f64 (log.f64 x) (*.f64 x x)) (*.f64 x x))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (neg.f64 x)) (/.f64 (log.f64 x) (*.f64 x x)))) (/.f64 x (*.f64 (*.f64 x (neg.f64 x)) (/.f64 (log.f64 x) (*.f64 x x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 (log.f64 x) (*.f64 x x)) (*.f64 x (neg.f64 x)))) (/.f64 x (*.f64 (/.f64 (log.f64 x) (*.f64 x x)) (*.f64 x (neg.f64 x)))))
(neg.f64 (neg.f64 (/.f64 x (log.f64 x))))
(/.f64 x (log.f64 x))
(/.f64 x (*.f64 (/.f64 (log.f64 x) (*.f64 x x)) (*.f64 x x)))
(/.f64 x (neg.f64 (*.f64 (*.f64 x (neg.f64 x)) (/.f64 (log.f64 x) (*.f64 x x)))))
(/.f64 x (neg.f64 (*.f64 (/.f64 (log.f64 x) (*.f64 x x)) (*.f64 x (neg.f64 x)))))
(/.f64 (*.f64 x x) (*.f64 x (log.f64 x)))
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (log.f64 x))))
(/.f64 (neg.f64 (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (neg.f64 (log.f64 x))))
(/.f64 (/.f64 (*.f64 x x) (log.f64 x)) x)
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) x))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x (neg.f64 x)) (/.f64 (log.f64 x) (*.f64 x x))) (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (log.f64 x) (*.f64 x x)) (*.f64 x (neg.f64 x))) (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (log.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (neg.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (neg.f64 x)) (*.f64 (/.f64 (*.f64 x x) (log.f64 x)) (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 (/.f64 x (log.f64 x)) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (neg.f64 x)) (*.f64 (neg.f64 x) (/.f64 (*.f64 x x) (log.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 x (log.f64 x))) (-.f64 (/.f64 #s(literal 0 binary64) x) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (neg.f64 x)) (/.f64 (*.f64 x (*.f64 x x)) (neg.f64 (log.f64 x)))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (log.f64 x)))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (log.f64 x) x)))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 (neg.f64 x) (*.f64 (*.f64 x (neg.f64 x)) (/.f64 (log.f64 x) (*.f64 x x))))
(/.f64 (neg.f64 x) (*.f64 (/.f64 (log.f64 x) (*.f64 x x)) (*.f64 x (neg.f64 x))))
(/.f64 (neg.f64 x) (neg.f64 (*.f64 (/.f64 (log.f64 x) (*.f64 x x)) (*.f64 x x))))
(/.f64 (*.f64 x (neg.f64 x)) (neg.f64 (*.f64 x (log.f64 x))))
(/.f64 (/.f64 x (log.f64 x)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (log.f64 x)))) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 x)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (log.f64 x) (*.f64 x (*.f64 x x))))
(/.f64 (neg.f64 (/.f64 x (log.f64 x))) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (log.f64 x) (*.f64 x x)))
(/.f64 (/.f64 (*.f64 x (*.f64 x x)) (log.f64 x)) (*.f64 x x))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (log.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (neg.f64 x))) (neg.f64 (log.f64 x)))
(/.f64 (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (log.f64 x))) (*.f64 x (neg.f64 x)))
(/.f64 (/.f64 (*.f64 x (neg.f64 x)) (log.f64 x)) (neg.f64 x))
(/.f64 (/.f64 x (neg.f64 x)) (neg.f64 (/.f64 (log.f64 x) x)))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (neg.f64 (/.f64 (log.f64 x) (*.f64 x (*.f64 x x)))))
(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 x)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 (/.f64 (*.f64 x x) (log.f64 x)) (neg.f64 x)) (*.f64 x (neg.f64 x)))
(/.f64 (*.f64 (/.f64 x (log.f64 x)) (*.f64 x x)) (*.f64 x x))
(/.f64 (*.f64 (neg.f64 x) (/.f64 (*.f64 x x) (log.f64 x))) (*.f64 x (neg.f64 x)))
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (log.f64 x) (*.f64 x x))))
(/.f64 (-.f64 (/.f64 #s(literal 0 binary64) x) (*.f64 x x)) (neg.f64 (*.f64 x (log.f64 x))))
(/.f64 (/.f64 (*.f64 x (*.f64 x x)) (neg.f64 (log.f64 x))) (*.f64 x (neg.f64 x)))
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(-.f64 (neg.f64 (log.f64 x)) (/.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(-.f64 (log.f64 (*.f64 x (neg.f64 x))) (log.f64 (neg.f64 x)))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (-.f64 (/.f64 #s(literal 0 binary64) x) (log.f64 x)))
(-.f64 (/.f64 (log.f64 (neg.f64 x)) #s(literal -1 binary64)) (/.f64 (log.f64 (*.f64 x (neg.f64 x))) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (log.f64 x))
(-.f64 (/.f64 (log.f64 (neg.f64 (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (/.f64 (log.f64 (*.f64 x (neg.f64 x))) #s(literal 1 binary64)))
(fma.f64 x (/.f64 (log.f64 x) x) #s(literal 0 binary64))
(fma.f64 (*.f64 x x) (/.f64 (log.f64 x) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (log.f64 x) #s(literal 2 binary64) (neg.f64 (log.f64 x)))
(fma.f64 (log.f64 x) #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) (log.f64 x)))
(fma.f64 (log.f64 x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (log.f64 x) #s(literal -1 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64)))
(fma.f64 (log.f64 x) #s(literal 3/2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(fma.f64 (*.f64 x (*.f64 x (log.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (*.f64 x (*.f64 x (log.f64 x))) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (log.f64 x) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (log.f64 x) (neg.f64 (log.f64 x)))
(fma.f64 #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 3/2 binary64)) (*.f64 #s(literal -2 binary64) (log.f64 x)))
(fma.f64 #s(literal 3 binary64) (log.f64 x) (*.f64 #s(literal -2 binary64) (log.f64 x)))
(fma.f64 (*.f64 (*.f64 x x) (neg.f64 (log.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (log.f64 x) #s(literal 2 binary64)))
(fma.f64 (*.f64 (*.f64 x x) (neg.f64 (log.f64 x))) (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (log.f64 x) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64)) (neg.f64 (log.f64 x)))
(fma.f64 (*.f64 x (log.f64 x)) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (log.f64 x) (*.f64 (log.f64 x) #s(literal 2 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 3 binary64)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 (log.f64 x) x) x #s(literal 0 binary64))
(fma.f64 #s(literal 3/2 binary64) (log.f64 x) (log.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(fma.f64 #s(literal 3/2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (log.f64 x)))
(fma.f64 (neg.f64 (*.f64 x (log.f64 x))) (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(fma.f64 #s(literal -2 binary64) (log.f64 x) (*.f64 (log.f64 x) #s(literal 3 binary64)))
(fma.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (log.f64 x) (*.f64 (log.f64 x) #s(literal 2 binary64)))))) (*.f64 #s(literal -2 binary64) (log.f64 x)))
(fma.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 x))))) (*.f64 #s(literal -2 binary64) (log.f64 x)))
(fma.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) (neg.f64 (log.f64 x))) (/.f64 #s(literal -1 binary64) (log.f64 x)) (*.f64 #s(literal -2 binary64) (log.f64 x)))
(fma.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) (log.f64 x)) (/.f64 #s(literal 1 binary64) (log.f64 x)) (*.f64 #s(literal -2 binary64) (log.f64 x)))
(neg.f64 (neg.f64 (log.f64 x)))
(/.f64 x (/.f64 x (log.f64 x)))
(/.f64 (*.f64 x x) (/.f64 (*.f64 x x) (log.f64 x)))
(/.f64 (log.f64 x) #s(literal 1 binary64))
(/.f64 (*.f64 x (*.f64 x (log.f64 x))) (*.f64 x x))
(/.f64 (*.f64 (*.f64 x x) (neg.f64 (log.f64 x))) (*.f64 x (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 x)) #s(literal 1 binary64)))
(/.f64 (*.f64 x (log.f64 x)) x)
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 x)))
(/.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64))
(/.f64 (*.f64 x (neg.f64 x)) (/.f64 (*.f64 x (neg.f64 x)) (log.f64 x)))
(/.f64 (/.f64 (log.f64 x) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (*.f64 x (log.f64 x))) (neg.f64 x))
(/.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) (log.f64 x)) (*.f64 (log.f64 x) #s(literal 3 binary64)))
(/.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 0 binary64)))))
(/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 9 binary64) (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)) (*.f64 #s(literal -2 binary64) (log.f64 x))) (*.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) (log.f64 x))))))
(/.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) (neg.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (neg.f64 (log.f64 x))))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 9 binary64) (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (neg.f64 (*.f64 x (*.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 x (neg.f64 x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (neg.f64 (*.f64 x (*.f64 x x)))) #s(literal 2 binary64)) (fma.f64 (log.f64 (*.f64 x (neg.f64 x))) (log.f64 (*.f64 x (neg.f64 x))) (*.f64 (log.f64 (neg.f64 (*.f64 x (*.f64 x x)))) (log.f64 (*.f64 x (neg.f64 x)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (neg.f64 (log.f64 x))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 9 binary64)) (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (log.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64)) (-.f64 (log.f64 x) #s(literal 0 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 9 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)) (*.f64 #s(literal -2 binary64) (log.f64 x)))) (-.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) (log.f64 x))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (neg.f64 (log.f64 x)))
(/.f64 (-.f64 (pow.f64 (log.f64 (neg.f64 (*.f64 x (*.f64 x x)))) #s(literal 2 binary64)) (*.f64 (log.f64 (*.f64 x (neg.f64 x))) (log.f64 (*.f64 x (neg.f64 x))))) (+.f64 (log.f64 (neg.f64 (*.f64 x (*.f64 x x)))) (log.f64 (*.f64 x (neg.f64 x)))))
(pow.f64 (log.f64 x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 x)) #s(literal -1 binary64))
(*.f64 x (/.f64 (log.f64 x) x))
(*.f64 (*.f64 x x) (/.f64 (log.f64 x) (*.f64 x x)))
(*.f64 (log.f64 x) #s(literal 1 binary64))
(*.f64 (*.f64 x (*.f64 x (log.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (*.f64 (*.f64 x x) (neg.f64 (log.f64 x))) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(*.f64 #s(literal 1 binary64) (log.f64 x))
(*.f64 (*.f64 x (log.f64 x)) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))
(*.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64))
(*.f64 (/.f64 (log.f64 x) x) x)
(*.f64 (neg.f64 (*.f64 x (log.f64 x))) (/.f64 #s(literal -1 binary64) x))

simplify100.0ms (1.2%)

Memory
26.0MiB live, 104.4MiB allocated
Algorithm
egg-herbie
Rules
888×lower-fma.f64
888×lower-fma.f32
632×lower-*.f64
632×lower-*.f32
322×associate-*r*
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
033412
166384
2130384
3287384
4542384
51053384
61781364
72146360
82189360
92196360
102197360
112197360
02197360
Stop Event
iter limit
saturated
Counts
72 → 72
Calls
Call 1
Inputs
(/ x (log x))
(/ x (log x))
(/ x (log x))
(/ x (log x))
(* -1 (/ x (log (/ 1 x))))
(* -1 (/ x (log (/ 1 x))))
(* -1 (/ x (log (/ 1 x))))
(* -1 (/ x (log (/ 1 x))))
(/ x (+ (log -1) (* -1 (log (/ -1 x)))))
(/ x (+ (log -1) (* -1 (log (/ -1 x)))))
(/ x (+ (log -1) (* -1 (log (/ -1 x)))))
(/ x (+ (log -1) (* -1 (log (/ -1 x)))))
(+ (log x) (log (/ 1 (log x))))
(+ (log x) (log (/ 1 (log x))))
(+ (log x) (log (/ 1 (log x))))
(+ (log x) (log (/ 1 (log x))))
(+ (log (/ -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))
(+ (log (/ -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))
(+ (log (/ -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))
(+ (log (/ -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))
(+ (log (/ -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))
(+ (log (/ -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))
(+ (log (/ -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))
(+ (log (/ -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* (pow x 2) (log x))
(* (pow x 2) (log x))
(* (pow x 2) (log x))
(* (pow x 2) (log x))
(* -1 (* (pow x 2) (log (/ 1 x))))
(* -1 (* (pow x 2) (log (/ 1 x))))
(* -1 (* (pow x 2) (log (/ 1 x))))
(* -1 (* (pow x 2) (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) (+ (log -1) (* -1 (log (/ -1 x)))))
(log x)
(log x)
(log x)
(log x)
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
Outputs
(/ x (log x))
(/.f64 x (log.f64 x))
(/ x (log x))
(/.f64 x (log.f64 x))
(/ x (log x))
(/.f64 x (log.f64 x))
(/ x (log x))
(/.f64 x (log.f64 x))
(* -1 (/ x (log (/ 1 x))))
(/.f64 x (log.f64 x))
(* -1 (/ x (log (/ 1 x))))
(/.f64 x (log.f64 x))
(* -1 (/ x (log (/ 1 x))))
(/.f64 x (log.f64 x))
(* -1 (/ x (log (/ 1 x))))
(/.f64 x (log.f64 x))
(/ x (+ (log -1) (* -1 (log (/ -1 x)))))
(/.f64 x (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 x))))
(/ x (+ (log -1) (* -1 (log (/ -1 x)))))
(/.f64 x (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 x))))
(/ x (+ (log -1) (* -1 (log (/ -1 x)))))
(/.f64 x (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 x))))
(/ x (+ (log -1) (* -1 (log (/ -1 x)))))
(/.f64 x (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 x))))
(+ (log x) (log (/ 1 (log x))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(+ (log x) (log (/ 1 (log x))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(+ (log x) (log (/ 1 (log x))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(+ (log x) (log (/ 1 (log x))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(+ (log (/ -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(+ (log (/ -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(+ (log (/ -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(+ (log (/ -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(+ (log (/ -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 (neg.f64 x)) (log.f64 (-.f64 (neg.f64 (log.f64 #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 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x 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)
(pow x 2)
(*.f64 x 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)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (log x))
(*.f64 (log.f64 x) (*.f64 x x))
(* (pow x 2) (log x))
(*.f64 (log.f64 x) (*.f64 x x))
(* (pow x 2) (log x))
(*.f64 (log.f64 x) (*.f64 x x))
(* (pow x 2) (log x))
(*.f64 (log.f64 x) (*.f64 x x))
(* -1 (* (pow x 2) (log (/ 1 x))))
(*.f64 (log.f64 x) (*.f64 x x))
(* -1 (* (pow x 2) (log (/ 1 x))))
(*.f64 (log.f64 x) (*.f64 x x))
(* -1 (* (pow x 2) (log (/ 1 x))))
(*.f64 (log.f64 x) (*.f64 x x))
(* -1 (* (pow x 2) (log (/ 1 x))))
(*.f64 (log.f64 x) (*.f64 x x))
(* (pow x 2) (+ (log -1) (* -1 (log (/ -1 x)))))
(*.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 x))) (*.f64 x x))
(* (pow x 2) (+ (log -1) (* -1 (log (/ -1 x)))))
(*.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 x))) (*.f64 x x))
(* (pow x 2) (+ (log -1) (* -1 (log (/ -1 x)))))
(*.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 x))) (*.f64 x x))
(* (pow x 2) (+ (log -1) (* -1 (log (/ -1 x)))))
(*.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 x))) (*.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 (/ 1 x)))
(log.f64 x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(+ (log -1) (* -1 (log (/ -1 x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 x)))

eval159.0ms (1.9%)

Memory
-15.3MiB live, 134.9MiB allocated
Compiler

Compiled 18 757 to 2 493 computations (86.7% saved)

prune94.0ms (1.2%)

Memory
19.5MiB live, 190.7MiB allocated
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New8171818
Fresh000
Picked101
Done022
Total8183821
Accuracy
100.0%
Counts
821 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(neg.f64 (log.f64 (/.f64 (log.f64 x) x)))
100.0%
(log.f64 (/.f64 x (log.f64 x)))
25.0%
(log.f64 (*.f64 x (log.f64 x)))
Compiler

Compiled 486 to 109 computations (77.6% saved)

regimes20.0ms (0.2%)

Memory
-36.0MiB live, 43.1MiB allocated
Counts
20 → 1
Calls
Call 1
Inputs
(log.f64 (*.f64 x (log.f64 x)))
(log.f64 (/.f64 x (log.f64 x)))
(neg.f64 (log.f64 (/.f64 (log.f64 x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 x (log.f64 x)))))
(log.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (log.f64 x))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(-.f64 (exp.f64 (log.f64 (log.f64 x))) (log.f64 (log.f64 x)))
(-.f64 (log.f64 x) (exp.f64 (log.f64 (log.f64 (log.f64 x)))))
(-.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64)) (log.f64 x)) (log.f64 (log.f64 x)))
(-.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 1/2 binary64)) (pow.f64 (log.f64 x) #s(literal 1/2 binary64))) (log.f64 (log.f64 x)))
(-.f64 (log.f64 x) (*.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x)))))
(-.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 0 binary64))))) (log.f64 (log.f64 x)))
(-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))))
(/.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (neg.f64 (log.f64 (*.f64 x (log.f64 x)))) (*.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (log.f64 x)))))))
(-.f64 (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))) (/.f64 (*.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))))
(/.f64 (-.f64 (log.f64 (*.f64 x (log.f64 x))) (*.f64 (/.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))) (*.f64 (/.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log.f64 (*.f64 x (log.f64 x)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))) (log.f64 (*.f64 x (log.f64 x)))) (*.f64 (log.f64 (*.f64 x (log.f64 x))) (/.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (log.f64 x)))))) (/.f64 (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (log.f64 x)))))))
(/.f64 (-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 3 binary64))) (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 6 binary64)) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x))))))))
Outputs
(neg.f64 (log.f64 (/.f64 (log.f64 x) x)))
Calls

3 calls:

7.0ms
(log.f64 x)
6.0ms
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
6.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
100.0%1(log.f64 x)
Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes5.0ms (0.1%)

Memory
13.5MiB live, 13.5MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
(log.f64 (*.f64 x (log.f64 x)))
(log.f64 (/.f64 x (log.f64 x)))
Outputs
(log.f64 (/.f64 x (log.f64 x)))
Calls

3 calls:

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

Compiled 12 to 7 computations (41.7% saved)

regimes4.0ms (0%)

Memory
11.8MiB live, 11.8MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

3 calls:

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

Compiled 12 to 7 computations (41.7% saved)

simplify7.0ms (0.1%)

Memory
-24.2MiB live, 15.1MiB allocated
Algorithm
egg-herbie
Rules
*-commutative_binary64
+-commutative_binary64
sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0916
11416
21616
31716
Stop Event
saturated
Calls
Call 1
Inputs
(neg.f64 (log.f64 (/.f64 (log.f64 x) x)))
(log.f64 (/.f64 x (log.f64 x)))
(log.f64 (*.f64 x (log.f64 x)))
Outputs
(neg.f64 (log.f64 (/.f64 (log.f64 x) x)))
(log.f64 (/.f64 x (log.f64 x)))
(log.f64 (*.f64 x (log.f64 x)))

soundness594.0ms (7.3%)

Memory
26.8MiB live, 445.7MiB allocated
Rules
4 954×lower-fma.f64
4 954×lower-fma.f32
3 778×lower-*.f64
3 778×lower-*.f32
3 720×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0411
0711
11711
27711
340711
4320011
01074711
0411
0710
12410
215010
3139910
0971510
0741
01335
13927
222423
3195823
0848123
027247
051231
1206207
21711191
08793191
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 35 to 21 computations (40% saved)

preprocess26.0ms (0.3%)

Memory
24.5MiB live, 62.7MiB allocated
Compiler

Compiled 48 to 26 computations (45.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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