Jmat.Real.lambertw, estimator

Time bar (total: 3.8s)

analyze1.0ms (0%)

Memory
3.1MiB live, 3.1MiB 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)

sample599.0ms (15.7%)

Memory
27.8MiB live, 933.9MiB allocated
Samples
441.0ms8 256×0valid
0.0ms11×0invalid
Precisions
Click to see histograms. Total time spent on operations: 268.0ms
ival-log: 205.0ms (76.4% of total)
ival-sub: 54.0ms (20.1% of total)
ival-true: 6.0ms (2.2% of total)
ival-assert: 3.0ms (1.1% of total)
Bogosity

preprocess21.0ms (0.6%)

Memory
-9.8MiB live, 27.6MiB allocated
Algorithm
egg-herbie
Rules
80×accelerator-lowering-fma.f32
80×accelerator-lowering-fma.f64
48×*-lowering-*.f32
48×*-lowering-*.f64
34×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0617
11417
23316
36116
410616
515216
616916
717716
046
166
2116
3176
4256
5406
6736
7976
81416
91566
101646
01646
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(- (log x) (log (log x)))
Outputs
(- (log x) (log (log x)))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))

explain74.0ms (1.9%)

Memory
-27.2MiB live, 106.5MiB 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 (79.4% of total)
ival-sub: 2.0ms (13.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.5MiB live, 1.5MiB 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)

simplify8.0ms (0.2%)

Memory
21.4MiB live, 21.4MiB 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×accelerator-lowering-fma.f32
80×accelerator-lowering-fma.f64
48×*-lowering-*.f32
48×*-lowering-*.f64
32×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0412
1612
21112
31712
42512
54012
67312
79712
814112
915612
1016412
016412
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(- (log x) (log (log x)))
(log x)
x
(log (log x))
Outputs
(- (log x) (log (log x)))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(log x)
(log.f64 x)
x
(log (log x))
(log.f64 (log.f64 x))

localize20.0ms (0.5%)

Memory
-1.2MiB live, 38.5MiB 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: 9.0ms
ival-log: 8.0ms (85.8% of total)
ival-sub: 1.0ms (10.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series122.0ms (3.2%)

Memory
-21.7MiB live, 174.6MiB allocated
Counts
3 → 36
Calls
Call 1
Inputs
#<alt (- (log x) (log (log x)))>
#<alt (log x)>
#<alt (log (log 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
51.0ms
x
@-inf
(- (log x) (log (log x)))
48.0ms
x
@0
(- (log x) (log (log x)))
22.0ms
x
@inf
(- (log x) (log (log x)))
0.0ms
x
@0
(log x)
0.0ms
x
@inf
(log x)

rewrite279.0ms (7.3%)

Memory
3.3MiB live, 318.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 954×accelerator-lowering-fma.f32
4 954×accelerator-lowering-fma.f64
3 078×/-lowering-/.f32
3 078×/-lowering-/.f64
2 794×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0410
12110
214710
3139410
0972810
Stop Event
iter limit
node limit
Counts
3 → 249
Calls
Call 1
Inputs
(- (log x) (log (log x)))
(log x)
(log (log 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 (neg.f64 (/.f64 (log.f64 x) 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 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) #s(literal 1 binary64)))
(-.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 (/.f64 (pow.f64 (log.f64 x) #s(literal 9 binary64)) (+.f64 (+.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))) (pow.f64 (log.f64 x) #s(literal 6 binary64)))) (fma.f64 (log.f64 x) (log.f64 (log.f64 x)) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 9 binary64)) (+.f64 (+.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))) (pow.f64 (log.f64 x) #s(literal 6 binary64)))) (fma.f64 (log.f64 x) (log.f64 (log.f64 x)) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64)))))
(-.f64 (/.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 (+.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))) (pow.f64 (log.f64 x) #s(literal 6 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 (+.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))) (pow.f64 (log.f64 x) #s(literal 6 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 #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 (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 (+.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))) (pow.f64 (log.f64 x) #s(literal 6 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 (+.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))) (pow.f64 (log.f64 x) #s(literal 6 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 (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 (+.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))) (pow.f64 (log.f64 x) #s(literal 6 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 (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 #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)))

simplify25.0ms (0.6%)

Memory
29.5MiB live, 29.5MiB allocated
Algorithm
egg-herbie
Rules
384×accelerator-lowering-fma.f32
384×accelerator-lowering-fma.f64
160×*-lowering-*.f32
160×*-lowering-*.f64
136×+-lowering-+.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))))

eval39.0ms (1%)

Memory
-0.8MiB live, 72.4MiB allocated
Compiler

Compiled 9 031 to 694 computations (92.3% saved)

prune52.0ms (1.4%)

Memory
-9.4MiB live, 108.7MiB allocated
Pruning

20 alts after pruning (19 fresh and 1 done)

PrunedKeptTotal
New30419323
Fresh000
Picked011
Done000
Total30420324
Accuracy
100.0%
Counts
324 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.2%
(/.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (neg.f64 (log.f64 (*.f64 x (log.f64 x)))) (*.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))))
98.2%
(/.f64 (-.f64 (*.f64 (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log.f64 (*.f64 x (log.f64 x)))) (*.f64 (neg.f64 (log.f64 (*.f64 x (log.f64 x)))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))))
98.3%
(/.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)))))
99.2%
(/.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)))))))
24.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 x (log.f64 x)))))
98.4%
(-.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 9 binary64)) (+.f64 (+.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))) (pow.f64 (log.f64 x) #s(literal 6 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 (+.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))) (pow.f64 (log.f64 x) #s(literal 6 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)))))))
97.8%
(-.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 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))))))) (/.f64 (/.f64 (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)))))))))
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)))
99.5%
(-.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64)) (log.f64 x)) (log.f64 (log.f64 x)))
99.1%
(-.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 1/2 binary64)) (pow.f64 (log.f64 x) #s(literal 1/2 binary64))) (log.f64 (log.f64 x)))
99.6%
(-.f64 (log.f64 x) (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal 0 binary64))))
99.6%
(-.f64 (log.f64 x) (*.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal 0 binary64)))))
99.6%
(-.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) (*.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 1/2 binary64))))
99.6%
(-.f64 (log.f64 x) (log.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 1/2 binary64)) (pow.f64 (log.f64 x) #s(literal 1/2 binary64)))))
99.6%
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
98.2%
(-.f64 (exp.f64 (log.f64 (log.f64 x))) (log.f64 (log.f64 x)))
97.8%
(*.f64 (-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 3 binary64))) (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 6 binary64)) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))))))))
24.6%
(log.f64 (*.f64 x (log.f64 x)))
Compiler

Compiled 1 225 to 480 computations (60.8% saved)

simplify191.0ms (5%)

Memory
8.9MiB live, 203.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)))
cost-diff0
(*.f64 (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log.f64 (*.f64 x (log.f64 x))))
cost-diff13696
(-.f64 (*.f64 (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log.f64 (*.f64 x (log.f64 x)))) (*.f64 (neg.f64 (log.f64 (*.f64 x (log.f64 x)))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))))
cost-diff20032
(/.f64 (-.f64 (*.f64 (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log.f64 (*.f64 x (log.f64 x)))) (*.f64 (neg.f64 (log.f64 (*.f64 x (log.f64 x)))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))))
cost-diff0
(log.f64 x)
cost-diff0
(-.f64 (log.f64 x) (*.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal 0 binary64)))))
cost-diff192
(+.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal 0 binary64))
cost-diff26752
(*.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))))
cost-diff0
(log.f64 x)
cost-diff0
(-.f64 (log.f64 x) (log.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 1/2 binary64)) (pow.f64 (log.f64 x) #s(literal 1/2 binary64)))))
cost-diff5824
(pow.f64 (log.f64 x) #s(literal 1/2 binary64))
cost-diff8000
(*.f64 (pow.f64 (log.f64 x) #s(literal 1/2 binary64)) (pow.f64 (log.f64 x) #s(literal 1/2 binary64)))
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
4 078×*-lowering-*.f32
4 078×*-lowering-*.f64
2 878×accelerator-lowering-fma.f32
2 878×accelerator-lowering-fma.f64
1 594×cube-prod
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
032299
187269
2279214
31394204
43618204
55100204
66523204
77410204
08115204
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(- (log x) (* (pow (log (log x)) 2) (/ 1 (log (log x)))))
(log x)
x
(* (pow (log (log x)) 2) (/ 1 (log (log x))))
(pow (log (log x)) 2)
(log (log x))
2
(/ 1 (log (log x)))
1
(log (* x (log x)))
(* x (log x))
x
(log x)
(- (log x) (log (* (pow (log x) 1/2) (pow (log x) 1/2))))
(log x)
x
(log (* (pow (log x) 1/2) (pow (log x) 1/2)))
(* (pow (log x) 1/2) (pow (log x) 1/2))
(pow (log x) 1/2)
1/2
(- (log x) (* (pow (log (log x)) 3) (/ 1 (+ (pow (log (log x)) 2) 0))))
(log x)
x
(* (pow (log (log x)) 3) (/ 1 (+ (pow (log (log x)) 2) 0)))
(pow (log (log x)) 3)
(log (log x))
3
(/ 1 (+ (pow (log (log x)) 2) 0))
1
(+ (pow (log (log x)) 2) 0)
(pow (log (log x)) 2)
2
0
(/ (- (* (neg (pow (log x) 2)) (log (* x (log x)))) (* (neg (log (* x (log x)))) (pow (log (log x)) 2))) (neg (pow (log (* x (log x))) 2)))
(- (* (neg (pow (log x) 2)) (log (* x (log x)))) (* (neg (log (* x (log x)))) (pow (log (log x)) 2)))
(* (neg (pow (log x) 2)) (log (* x (log x))))
(neg (pow (log x) 2))
(pow (log x) 2)
(log x)
x
2
(log (* x (log x)))
(* x (log x))
(* (neg (log (* x (log x)))) (pow (log (log x)) 2))
(neg (log (* x (log x))))
(pow (log (log x)) 2)
(log (log x))
(neg (pow (log (* x (log x))) 2))
(pow (log (* x (log x))) 2)
Outputs
(- (log x) (* (pow (log (log x)) 2) (/ 1 (log (log x)))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(log x)
(log.f64 x)
x
(* (pow (log (log x)) 2) (/ 1 (log (log x))))
(log.f64 (log.f64 x))
(pow (log (log x)) 2)
(pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))
(log (log x))
(log.f64 (log.f64 x))
2
#s(literal 2 binary64)
(/ 1 (log (log x)))
(/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x)))
1
#s(literal 1 binary64)
(log (* x (log x)))
(log.f64 (*.f64 x (log.f64 x)))
(* x (log x))
(*.f64 x (log.f64 x))
x
(log x)
(log.f64 x)
(- (log x) (log (* (pow (log x) 1/2) (pow (log x) 1/2))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(log x)
(log.f64 x)
x
(log (* (pow (log x) 1/2) (pow (log x) 1/2)))
(log.f64 (log.f64 x))
(* (pow (log x) 1/2) (pow (log x) 1/2))
(log.f64 x)
(pow (log x) 1/2)
(sqrt.f64 (log.f64 x))
1/2
#s(literal 1/2 binary64)
(- (log x) (* (pow (log (log x)) 3) (/ 1 (+ (pow (log (log x)) 2) 0))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(log x)
(log.f64 x)
x
(* (pow (log (log x)) 3) (/ 1 (+ (pow (log (log x)) 2) 0)))
(log.f64 (log.f64 x))
(pow (log (log x)) 3)
(pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64))
(log (log x))
(log.f64 (log.f64 x))
3
#s(literal 3 binary64)
(/ 1 (+ (pow (log (log x)) 2) 0))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))
1
#s(literal 1 binary64)
(+ (pow (log (log x)) 2) 0)
(pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))
(pow (log (log x)) 2)
(pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))
2
#s(literal 2 binary64)
0
#s(literal 0 binary64)
(/ (- (* (neg (pow (log x) 2)) (log (* x (log x)))) (* (neg (log (* x (log x)))) (pow (log (log x)) 2))) (neg (pow (log (* x (log x))) 2)))
(/.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))))
(- (* (neg (pow (log x) 2)) (log (* x (log x)))) (* (neg (log (* x (log x)))) (pow (log (log x)) 2)))
(*.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))))
(* (neg (pow (log x) 2)) (log (* x (log x))))
(*.f64 (log.f64 (*.f64 x (log.f64 x))) (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))))
(neg (pow (log x) 2))
(neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(pow (log x) 2)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(log x)
(log.f64 x)
x
2
#s(literal 2 binary64)
(log (* x (log x)))
(log.f64 (*.f64 x (log.f64 x)))
(* x (log x))
(*.f64 x (log.f64 x))
(* (neg (log (* x (log x)))) (pow (log (log x)) 2))
(neg.f64 (*.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))))
(neg (log (* x (log x))))
(neg.f64 (log.f64 (*.f64 x (log.f64 x))))
(pow (log (log x)) 2)
(pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))
(log (log x))
(log.f64 (log.f64 x))
(neg (pow (log (* x (log x))) 2))
(neg.f64 (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64)))
(pow (log (* x (log x))) 2)
(pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))

localize139.0ms (3.6%)

Memory
4.5MiB live, 158.5MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy99.2%
(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))
accuracy99.2%
(pow.f64 (log.f64 x) #s(literal 2 binary64))
accuracy99.5%
(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal 0 binary64)))
accuracy99.5%
(*.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))))
accuracy99.2%
(pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))
accuracy98.9%
(pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64))
accuracy99.9%
(log.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 1/2 binary64)) (pow.f64 (log.f64 x) #s(literal 1/2 binary64))))
accuracy99.8%
(pow.f64 (log.f64 x) #s(literal 1/2 binary64))
accuracy99.6%
(-.f64 (log.f64 x) (log.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 1/2 binary64)) (pow.f64 (log.f64 x) #s(literal 1/2 binary64)))))
accuracy99.3%
(*.f64 (pow.f64 (log.f64 x) #s(literal 1/2 binary64)) (pow.f64 (log.f64 x) #s(literal 1/2 binary64)))
accuracy100.0%
(log.f64 x)
accuracy99.5%
(*.f64 x (log.f64 x))
accuracy99.2%
(log.f64 (*.f64 x (log.f64 x)))
accuracy99.6%
(/.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
69.0ms256×0valid
Compiler

Compiled 297 to 34 computations (88.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 51.0ms
ival-log: 16.0ms (31.4% of total)
ival-mult: 10.0ms (19.6% of total)
ival-pow2: 7.0ms (13.7% of total)
ival-div: 5.0ms (9.8% of total)
ival-sub: 4.0ms (7.9% of total)
ival-neg: 3.0ms (5.9% of total)
ival-sqrt: 2.0ms (3.9% of total)
ival-pow: 2.0ms (3.9% of total)
ival-add: 1.0ms (2% of total)
exact: 1.0ms (2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series299.0ms (7.8%)

Memory
-137.0MiB live, 99.7MiB allocated
Counts
22 → 264
Calls
Call 1
Inputs
#<alt (* (pow (log (log x)) 2) (/ 1 (log (log x))))>
#<alt (- (log x) (* (pow (log (log x)) 2) (/ 1 (log (log x)))))>
#<alt (log x)>
#<alt (pow (log (log x)) 2)>
#<alt (log (* x (log x)))>
#<alt (* x (log x))>
#<alt (* (pow (log x) 1/2) (pow (log x) 1/2))>
#<alt (pow (log x) 1/2)>
#<alt (- (log x) (log (* (pow (log x) 1/2) (pow (log x) 1/2))))>
#<alt (* (pow (log (log x)) 3) (/ 1 (+ (pow (log (log x)) 2) 0)))>
#<alt (+ (pow (log (log x)) 2) 0)>
#<alt (- (log x) (* (pow (log (log x)) 3) (/ 1 (+ (pow (log (log x)) 2) 0))))>
#<alt (/ (- (* (neg (pow (log x) 2)) (log (* x (log x)))) (* (neg (log (* x (log x)))) (pow (log (log x)) 2))) (neg (pow (log (* x (log x))) 2)))>
#<alt (- (* (neg (pow (log x) 2)) (log (* x (log x)))) (* (neg (log (* x (log x)))) (pow (log (log x)) 2)))>
#<alt (* (neg (pow (log x) 2)) (log (* x (log x))))>
#<alt (neg (pow (log x) 2))>
#<alt (/ 1 (log (log x)))>
#<alt (log (* (pow (log x) 1/2) (pow (log x) 1/2)))>
#<alt (pow (log (log x)) 3)>
#<alt (/ 1 (+ (pow (log (log x)) 2) 0))>
#<alt (pow (log x) 2)>
#<alt (pow (log (* x (log x))) 2)>
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))))>
#<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))))>
#<alt (sqrt (log x))>
#<alt (sqrt (log x))>
#<alt (sqrt (log x))>
#<alt (sqrt (log x))>
#<alt (* (sqrt (log (/ 1 x))) (sqrt -1))>
#<alt (* (sqrt (log (/ 1 x))) (sqrt -1))>
#<alt (* (sqrt (log (/ 1 x))) (sqrt -1))>
#<alt (* (sqrt (log (/ 1 x))) (sqrt -1))>
#<alt (sqrt (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt (sqrt (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt (sqrt (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt (sqrt (+ (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 (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 (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 (- (* -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 (* -1 (/ (- (* -1 (* (pow (log x) 2) (+ (log x) (log (log x))))) (* -1 (* (pow (log (log x)) 2) (+ (log x) (log (log x)))))) (pow (+ (log x) (log (log x))) 2)))>
#<alt (* -1 (/ (- (* -1 (* (pow (log x) 2) (+ (log x) (log (log x))))) (* -1 (* (pow (log (log x)) 2) (+ (log x) (log (log x)))))) (pow (+ (log x) (log (log x))) 2)))>
#<alt (* -1 (/ (- (* -1 (* (pow (log x) 2) (+ (log x) (log (log x))))) (* -1 (* (pow (log (log x)) 2) (+ (log x) (log (log x)))))) (pow (+ (log x) (log (log x))) 2)))>
#<alt (* -1 (/ (- (* -1 (* (pow (log x) 2) (+ (log x) (log (log x))))) (* -1 (* (pow (log (log x)) 2) (+ (log x) (log (log x)))))) (pow (+ (log x) (log (log x))) 2)))>
#<alt (* -1 (/ (- (* -1 (* (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))))) (* -1 (* (pow (log (* -1 (log (/ 1 x)))) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))))) (pow (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))) 2)))>
#<alt (* -1 (/ (- (* -1 (* (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))))) (* -1 (* (pow (log (* -1 (log (/ 1 x)))) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))))) (pow (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))) 2)))>
#<alt (* -1 (/ (- (* -1 (* (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))))) (* -1 (* (pow (log (* -1 (log (/ 1 x)))) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))))) (pow (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))) 2)))>
#<alt (* -1 (/ (- (* -1 (* (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))))) (* -1 (* (pow (log (* -1 (log (/ 1 x)))) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))))) (pow (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))) 2)))>
#<alt (* -1 (/ (- (* -1 (* (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))))) (* -1 (* (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))))) (pow (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))) 2)))>
#<alt (* -1 (/ (- (* -1 (* (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))))) (* -1 (* (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))))) (pow (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))) 2)))>
#<alt (* -1 (/ (- (* -1 (* (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))))) (* -1 (* (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))))) (pow (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))) 2)))>
#<alt (* -1 (/ (- (* -1 (* (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))))) (* -1 (* (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))))) (pow (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))) 2)))>
#<alt (- (* -1 (* (pow (log x) 2) (+ (log x) (log (log x))))) (* -1 (* (pow (log (log x)) 2) (+ (log x) (log (log x))))))>
#<alt (- (* -1 (* (pow (log x) 2) (+ (log x) (log (log x))))) (* -1 (* (pow (log (log x)) 2) (+ (log x) (log (log x))))))>
#<alt (- (* -1 (* (pow (log x) 2) (+ (log x) (log (log x))))) (* -1 (* (pow (log (log x)) 2) (+ (log x) (log (log x))))))>
#<alt (- (* -1 (* (pow (log x) 2) (+ (log x) (log (log x))))) (* -1 (* (pow (log (log x)) 2) (+ (log x) (log (log x))))))>
#<alt (- (* -1 (* (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))))) (* -1 (* (pow (log (* -1 (log (/ 1 x)))) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))))))>
#<alt (- (* -1 (* (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))))) (* -1 (* (pow (log (* -1 (log (/ 1 x)))) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))))))>
#<alt (- (* -1 (* (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))))) (* -1 (* (pow (log (* -1 (log (/ 1 x)))) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))))))>
#<alt (- (* -1 (* (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))))) (* -1 (* (pow (log (* -1 (log (/ 1 x)))) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))))))>
#<alt (- (* -1 (* (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))))) (* -1 (* (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))))))>
#<alt (- (* -1 (* (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))))) (* -1 (* (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))))))>
#<alt (- (* -1 (* (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))))) (* -1 (* (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))))))>
#<alt (- (* -1 (* (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))))) (* -1 (* (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))))))>
#<alt (* -1 (* (pow (log x) 2) (+ (log x) (log (log x)))))>
#<alt (* -1 (* (pow (log x) 2) (+ (log x) (log (log x)))))>
#<alt (* -1 (* (pow (log x) 2) (+ (log x) (log (log x)))))>
#<alt (* -1 (* (pow (log x) 2) (+ (log x) (log (log x)))))>
#<alt (* -1 (* (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))))>
#<alt (* -1 (* (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))))>
#<alt (* -1 (* (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))))>
#<alt (* -1 (* (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))))>
#<alt (* -1 (* (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))))>
#<alt (* -1 (* (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))))>
#<alt (* -1 (* (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))))>
#<alt (* -1 (* (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))))>
#<alt (* -1 (pow (log x) 2))>
#<alt (* -1 (pow (log x) 2))>
#<alt (* -1 (pow (log x) 2))>
#<alt (* -1 (pow (log x) 2))>
#<alt (* -1 (pow (log (/ 1 x)) 2))>
#<alt (* -1 (pow (log (/ 1 x)) 2))>
#<alt (* -1 (pow (log (/ 1 x)) 2))>
#<alt (* -1 (pow (log (/ 1 x)) 2))>
#<alt (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))>
#<alt (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))>
#<alt (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))>
#<alt (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))>
#<alt (/ 1 (log (log x)))>
#<alt (/ 1 (log (log x)))>
#<alt (/ 1 (log (log x)))>
#<alt (/ 1 (log (log x)))>
#<alt (/ 1 (log (* -1 (log (/ 1 x)))))>
#<alt (/ 1 (log (* -1 (log (/ 1 x)))))>
#<alt (/ 1 (log (* -1 (log (/ 1 x)))))>
#<alt (/ 1 (log (* -1 (log (/ 1 x)))))>
#<alt (/ 1 (log (+ (log -1) (* -1 (log (/ -1 x))))))>
#<alt (/ 1 (log (+ (log -1) (* -1 (log (/ -1 x))))))>
#<alt (/ 1 (log (+ (log -1) (* -1 (log (/ -1 x))))))>
#<alt (/ 1 (log (+ (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)))))>
#<alt (pow (log (log x)) 3)>
#<alt (pow (log (log x)) 3)>
#<alt (pow (log (log x)) 3)>
#<alt (pow (log (log x)) 3)>
#<alt (pow (log (* -1 (log (/ 1 x)))) 3)>
#<alt (pow (log (* -1 (log (/ 1 x)))) 3)>
#<alt (pow (log (* -1 (log (/ 1 x)))) 3)>
#<alt (pow (log (* -1 (log (/ 1 x)))) 3)>
#<alt (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 3)>
#<alt (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 3)>
#<alt (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 3)>
#<alt (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 3)>
#<alt (/ 1 (pow (log (log x)) 2))>
#<alt (/ 1 (pow (log (log x)) 2))>
#<alt (/ 1 (pow (log (log x)) 2))>
#<alt (/ 1 (pow (log (log x)) 2))>
#<alt (/ 1 (pow (log (* -1 (log (/ 1 x)))) 2))>
#<alt (/ 1 (pow (log (* -1 (log (/ 1 x)))) 2))>
#<alt (/ 1 (pow (log (* -1 (log (/ 1 x)))) 2))>
#<alt (/ 1 (pow (log (* -1 (log (/ 1 x)))) 2))>
#<alt (/ 1 (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2))>
#<alt (/ 1 (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2))>
#<alt (/ 1 (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2))>
#<alt (/ 1 (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2))>
#<alt (pow (log x) 2)>
#<alt (pow (log x) 2)>
#<alt (pow (log x) 2)>
#<alt (pow (log x) 2)>
#<alt (pow (log (/ 1 x)) 2)>
#<alt (pow (log (/ 1 x)) 2)>
#<alt (pow (log (/ 1 x)) 2)>
#<alt (pow (log (/ 1 x)) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)>
#<alt (pow (+ (log x) (log (log x))) 2)>
#<alt (pow (+ (log x) (log (log x))) 2)>
#<alt (pow (+ (log x) (log (log x))) 2)>
#<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)>
Calls

66 calls:

TimeVariablePointExpression
255.0ms
x
@-inf
(log (* x (log x)))
16.0ms
x
@0
(log (* x (log x)))
7.0ms
x
@inf
(log (* x (log x)))
3.0ms
x
@-inf
(/ (- (* (neg (pow (log x) 2)) (log (* x (log x)))) (* (neg (log (* x (log x)))) (pow (log (log x)) 2))) (neg (pow (log (* x (log x))) 2)))
3.0ms
x
@inf
(/ (- (* (neg (pow (log x) 2)) (log (* x (log x)))) (* (neg (log (* x (log x)))) (pow (log (log x)) 2))) (neg (pow (log (* x (log x))) 2)))

rewrite120.0ms (3.2%)

Memory
-8.0MiB live, 189.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
794×accelerator-lowering-fma.f32
794×accelerator-lowering-fma.f64
768×*-lowering-*.f32
768×*-lowering-*.f64
498×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032188
1205135
01705135
Stop Event
iter limit
iter limit
node limit
Counts
22 → 808
Calls
Call 1
Inputs
(* (pow (log (log x)) 2) (/ 1 (log (log x))))
(- (log x) (* (pow (log (log x)) 2) (/ 1 (log (log x)))))
(log x)
(pow (log (log x)) 2)
(log (* x (log x)))
(* x (log x))
(* (pow (log x) 1/2) (pow (log x) 1/2))
(pow (log x) 1/2)
(- (log x) (log (* (pow (log x) 1/2) (pow (log x) 1/2))))
(* (pow (log (log x)) 3) (/ 1 (+ (pow (log (log x)) 2) 0)))
(+ (pow (log (log x)) 2) 0)
(- (log x) (* (pow (log (log x)) 3) (/ 1 (+ (pow (log (log x)) 2) 0))))
(/ (- (* (neg (pow (log x) 2)) (log (* x (log x)))) (* (neg (log (* x (log x)))) (pow (log (log x)) 2))) (neg (pow (log (* x (log x))) 2)))
(- (* (neg (pow (log x) 2)) (log (* x (log x)))) (* (neg (log (* x (log x)))) (pow (log (log x)) 2)))
(* (neg (pow (log x) 2)) (log (* x (log x))))
(neg (pow (log x) 2))
(/ 1 (log (log x)))
(log (* (pow (log x) 1/2) (pow (log x) 1/2)))
(pow (log (log x)) 3)
(/ 1 (+ (pow (log (log x)) 2) 0))
(pow (log x) 2)
(pow (log (* x (log x))) 2)
Outputs
(log.f64 (log.f64 x))
(+.f64 (log.f64 (log.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x))) #s(literal 0 binary64)))
(+.f64 (log.f64 (log.f64 x)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x)))))
(+.f64 (*.f64 (log.f64 (log.f64 x)) #s(literal 1/2 binary64)) (*.f64 (log.f64 (log.f64 x)) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x))) #s(literal 0 binary64)) (log.f64 (log.f64 x)))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x)))) (log.f64 (log.f64 x)))
(exp.f64 (*.f64 (log.f64 (log.f64 (log.f64 x))) #s(literal 1 binary64)))
(exp.f64 (-.f64 (*.f64 #s(literal 3 binary64) (log.f64 (log.f64 (log.f64 x)))) (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 (log.f64 x))))))
(fma.f64 (log.f64 (log.f64 x)) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x))) #s(literal 0 binary64)))
(fma.f64 (log.f64 (log.f64 x)) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x)))))
(fma.f64 (log.f64 (log.f64 x)) #s(literal 1/2 binary64) (*.f64 (log.f64 (log.f64 x)) #s(literal 1/2 binary64)))
(fma.f64 (log.f64 (log.f64 x)) (/.f64 (log.f64 (log.f64 x)) (log.f64 (log.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x))) #s(literal 0 binary64)))
(fma.f64 (log.f64 (log.f64 x)) (/.f64 (log.f64 (log.f64 x)) (log.f64 (log.f64 x))) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x)))))
(fma.f64 (log.f64 (log.f64 x)) (*.f64 (log.f64 (log.f64 x)) (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x)))) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x))) #s(literal 0 binary64)))
(fma.f64 (log.f64 (log.f64 x)) (*.f64 (log.f64 (log.f64 x)) (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x)))) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x)))))
(fma.f64 (log.f64 (log.f64 x)) (*.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x))) #s(literal 0 binary64)))
(fma.f64 (log.f64 (log.f64 x)) (*.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal -2 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x)))))
(fma.f64 (log.f64 (log.f64 x)) (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x))) #s(literal 0 binary64)))
(fma.f64 (log.f64 (log.f64 x)) (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x)))))
(fma.f64 #s(literal 2 binary64) (*.f64 (log.f64 (log.f64 x)) #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x))) #s(literal 0 binary64)))
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(exp.f64 (*.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))
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(pow.f64 (sqrt.f64 (log.f64 x)) #s(literal 4 binary64))
(pow.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 (log.f64 x) (log.f64 x))
(*.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 (log.f64 x)) (log.f64 x)))
(*.f64 (*.f64 (log.f64 x) (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
(+.f64 (*.f64 (log.f64 (*.f64 x (log.f64 x))) (log.f64 x)) (*.f64 (log.f64 (*.f64 x (log.f64 x))) (log.f64 (log.f64 x))))
(+.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x (log.f64 x)))) (*.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x)))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 (*.f64 x (log.f64 x))))))
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))))
(fma.f64 (log.f64 x) (log.f64 (*.f64 x (log.f64 x))) (*.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x)))))
(fma.f64 (log.f64 (*.f64 x (log.f64 x))) (log.f64 x) (*.f64 (log.f64 (*.f64 x (log.f64 x))) (log.f64 (log.f64 x))))
(neg.f64 (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))
(pow.f64 (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 (log.f64 (*.f64 x (log.f64 x))))) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64)))
(*.f64 (log.f64 (*.f64 x (log.f64 x))) (log.f64 (*.f64 x (log.f64 x))))
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))))
(*.f64 (exp.f64 (log.f64 (log.f64 (*.f64 x (log.f64 x))))) (exp.f64 (log.f64 (log.f64 (*.f64 x (log.f64 x))))))

simplify406.0ms (10.6%)

Memory
2.4MiB live, 552.5MiB allocated
Algorithm
egg-herbie
Rules
12 272×accelerator-lowering-fma.f32
12 272×accelerator-lowering-fma.f64
3 320×+-lowering-+.f64
3 320×+-lowering-+.f32
3 040×*-lowering-*.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0762880
12372460
210852284
332702188
477682188
083982188
Stop Event
iter limit
node limit
Counts
264 → 264
Calls
Call 1
Inputs
(log (log x))
(log (log x))
(log (log x))
(log (log x))
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(+ (log -1) (* -1 (log (/ -1 x))))
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(sqrt (log x))
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(sqrt (log x))
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(* (sqrt (log (/ 1 x))) (sqrt -1))
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(sqrt (+ (log -1) (* -1 (log (/ -1 x)))))
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(pow (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))) 2)
(pow (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))) 2)
(pow (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))) 2)
(pow (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))) 2)
(pow (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))) 2)
(pow (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))) 2)
(pow (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))) 2)
Outputs
(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))))
(- (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 (log.f64 #s(literal -1 binary64)) (+.f64 (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 (log.f64 #s(literal -1 binary64)) (+.f64 (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 (log.f64 #s(literal -1 binary64)) (+.f64 (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 (log.f64 #s(literal -1 binary64)) (+.f64 (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)))
(pow (log (log x)) 2)
(pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))
(pow (log (log x)) 2)
(pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))
(pow (log (log x)) 2)
(pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))
(pow (log (log x)) 2)
(pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))
(pow (log (* -1 (log (/ 1 x)))) 2)
(pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))
(pow (log (* -1 (log (/ 1 x)))) 2)
(pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))
(pow (log (* -1 (log (/ 1 x)))) 2)
(pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))
(pow (log (* -1 (log (/ 1 x)))) 2)
(pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))
(pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2)
(pow.f64 (log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64))
(pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2)
(pow.f64 (log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64))
(pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2)
(pow.f64 (log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64))
(pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2)
(pow.f64 (log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64))
(+ (log x) (log (log x)))
(+.f64 (log.f64 x) (log.f64 (log.f64 x)))
(+ (log x) (log (log x)))
(+.f64 (log.f64 x) (log.f64 (log.f64 x)))
(+ (log x) (log (log x)))
(+.f64 (log.f64 x) (log.f64 (log.f64 x)))
(+ (log x) (log (log x)))
(+.f64 (log.f64 x) (log.f64 (log.f64 x)))
(+ (log (* -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 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(* x (log x))
(*.f64 x (log.f64 x))
(* x (log x))
(*.f64 x (log.f64 x))
(* x (log x))
(*.f64 x (log.f64 x))
(* x (log x))
(*.f64 x (log.f64 x))
(* -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 (/.f64 #s(literal -1 binary64) x))))
(* x (+ (log -1) (* -1 (log (/ -1 x)))))
(*.f64 x (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(* x (+ (log -1) (* -1 (log (/ -1 x)))))
(*.f64 x (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(* x (+ (log -1) (* -1 (log (/ -1 x)))))
(*.f64 x (-.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)))
(sqrt (log x))
(sqrt.f64 (log.f64 x))
(sqrt (log x))
(sqrt.f64 (log.f64 x))
(sqrt (log x))
(sqrt.f64 (log.f64 x))
(sqrt (log x))
(sqrt.f64 (log.f64 x))
(* (sqrt (log (/ 1 x))) (sqrt -1))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 x))) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (log (/ 1 x))) (sqrt -1))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 x))) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (log (/ 1 x))) (sqrt -1))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 x))) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (log (/ 1 x))) (sqrt -1))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 x))) (sqrt.f64 #s(literal -1 binary64)))
(sqrt (+ (log -1) (* -1 (log (/ -1 x)))))
(sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(sqrt (+ (log -1) (* -1 (log (/ -1 x)))))
(sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(sqrt (+ (log -1) (* -1 (log (/ -1 x)))))
(sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(sqrt (+ (log -1) (* -1 (log (/ -1 x)))))
(sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(- (log x) (log (log x)))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(- (log x) (log (log x)))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(- (log x) (log (log x)))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(- (log x) (log (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 (log.f64 #s(literal -1 binary64)) (+.f64 (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 (log.f64 #s(literal -1 binary64)) (+.f64 (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))))))
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(- (+ (log -1) (* -1 (log (/ -1 x)))) (log (+ (log -1) (* -1 (log (/ -1 x))))))
(-.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (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 (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))))
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(log (* -1 (log (/ 1 x))))
(log.f64 (log.f64 x))
(log (* -1 (log (/ 1 x))))
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(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 (log x)) 2)
(pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))
(pow (log (log x)) 2)
(pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))
(pow (log (log x)) 2)
(pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))
(pow (log (log x)) 2)
(pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))
(pow (log (* -1 (log (/ 1 x)))) 2)
(pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))
(pow (log (* -1 (log (/ 1 x)))) 2)
(pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))
(pow (log (* -1 (log (/ 1 x)))) 2)
(pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))
(pow (log (* -1 (log (/ 1 x)))) 2)
(pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))
(pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2)
(pow.f64 (log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64))
(pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2)
(pow.f64 (log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64))
(pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2)
(pow.f64 (log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64))
(pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2)
(pow.f64 (log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64))
(- (log x) (log (log x)))
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(- (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)))
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(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
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(- (+ (log -1) (* -1 (log (/ -1 x)))) (log (+ (log -1) (* -1 (log (/ -1 x))))))
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(* -1 (/ (- (* -1 (* (pow (log x) 2) (+ (log x) (log (log x))))) (* -1 (* (pow (log (log x)) 2) (+ (log x) (log (log x)))))) (pow (+ (log x) (log (log x))) 2)))
(*.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 x)) #s(literal -1 binary64))
(* -1 (/ (- (* -1 (* (pow (log x) 2) (+ (log x) (log (log x))))) (* -1 (* (pow (log (log x)) 2) (+ (log x) (log (log x)))))) (pow (+ (log x) (log (log x))) 2)))
(*.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 x)) #s(literal -1 binary64))
(* -1 (/ (- (* -1 (* (pow (log x) 2) (+ (log x) (log (log x))))) (* -1 (* (pow (log (log x)) 2) (+ (log x) (log (log x)))))) (pow (+ (log x) (log (log x))) 2)))
(*.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 x)) #s(literal -1 binary64))
(* -1 (/ (- (* -1 (* (pow (log x) 2) (+ (log x) (log (log x))))) (* -1 (* (pow (log (log x)) 2) (+ (log x) (log (log x)))))) (pow (+ (log x) (log (log x))) 2)))
(*.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 x)) #s(literal -1 binary64))
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(pow.f64 (log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 3 binary64))
(/ 1 (pow (log (log x)) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))
(/ 1 (pow (log (log x)) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))
(/ 1 (pow (log (log x)) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))
(/ 1 (pow (log (log x)) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))
(/ 1 (pow (log (* -1 (log (/ 1 x)))) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))
(/ 1 (pow (log (* -1 (log (/ 1 x)))) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))
(/ 1 (pow (log (* -1 (log (/ 1 x)))) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))
(/ 1 (pow (log (* -1 (log (/ 1 x)))) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))
(/ 1 (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64)))
(/ 1 (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64)))
(/ 1 (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64)))
(/ 1 (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64)))
(pow (log x) 2)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(pow (log x) 2)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(pow (log x) 2)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(pow (log x) 2)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(pow (log (/ 1 x)) 2)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(pow (log (/ 1 x)) 2)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(pow (log (/ 1 x)) 2)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(pow (log (/ 1 x)) 2)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) 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 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))

eval213.0ms (5.6%)

Memory
5.0MiB live, 382.4MiB allocated
Compiler

Compiled 43 809 to 2 855 computations (93.5% saved)

prune118.0ms (3.1%)

Memory
31.8MiB live, 238.9MiB allocated
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1 78411 785
Fresh14014
Picked415
Done101
Total1 80321 805
Accuracy
100.0%
Counts
1 805 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(log.f64 (/.f64 x (log.f64 x)))
24.6%
(log.f64 (*.f64 x (log.f64 x)))
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify6.0ms (0.2%)

Memory
-33.9MiB live, 5.0MiB 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
log-lowering-log.f64
log-lowering-log.f32
/-lowering-/.f32
/-lowering-/.f64
Iterations

Useful iterations: 0 (0.0ms)

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

localize19.0ms (0.5%)

Memory
29.3MiB live, 29.3MiB 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
13.0ms256×0valid
Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-log: 6.0ms (73.9% of total)
ival-div: 2.0ms (24.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series103.0ms (2.7%)

Memory
-0.6MiB live, 113.1MiB allocated
Counts
3 → 36
Calls
Call 1
Inputs
#<alt (log (/ x (log x)))>
#<alt (/ x (log x))>
#<alt (log 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
61.0ms
x
@-inf
(log (/ x (log x)))
22.0ms
x
@inf
(log (/ x (log x)))
19.0ms
x
@0
(log (/ x (log x)))
0.0ms
x
@0
(/ x (log x))
0.0ms
x
@-inf
(/ x (log x))

rewrite475.0ms (12.5%)

Memory
1.2MiB live, 352.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
3 778×*-lowering-*.f32
3 778×*-lowering-*.f64
3 560×accelerator-lowering-fma.f32
3 560×accelerator-lowering-fma.f64
2 150×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0411
11411
27411
340611
4320511
01078311
Stop Event
iter limit
node limit
Counts
3 → 668
Calls
Call 1
Inputs
(log (/ x (log x)))
(/ x (log x))
(log 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 (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 (*.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 #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 (*.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 (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 #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 (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 (*.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 (log.f64 #s(literal -1 binary64)) (log.f64 (*.f64 x (log.f64 x))))
(-.f64 (*.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) (log.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(-.f64 (*.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) (log.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (neg.f64 x))))
(-.f64 (*.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) (log.f64 (*.f64 x (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(-.f64 (*.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) (log.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) 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)))))
(-.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 (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 (log.f64 (neg.f64 (*.f64 x (*.f64 x x)))) (log.f64 (*.f64 (*.f64 x x) (log.f64 x))))
(-.f64 (log.f64 (neg.f64 (*.f64 x (*.f64 x x)))) (log.f64 (*.f64 (log.f64 x) (*.f64 x x))))
(-.f64 (log.f64 (neg.f64 (*.f64 x x))) (log.f64 (*.f64 x (log.f64 x))))
(-.f64 (*.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x))))
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(*.f64 x (log.f64 x))
(*.f64 x (/.f64 #s(literal 1 binary64) (log.f64 x)))
(*.f64 (log.f64 x) x)
(*.f64 (log.f64 x) (neg.f64 x))
(*.f64 (log.f64 x) (exp.f64 (log.f64 (neg.f64 x))))
(*.f64 (neg.f64 x) (log.f64 x))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (log.f64 x)))
(*.f64 #s(literal 1 binary64) (*.f64 x (log.f64 x)))
(*.f64 (*.f64 x (log.f64 x)) #s(literal 1 binary64))
(*.f64 (*.f64 x (log.f64 x)) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 x)) x)
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 x)) (neg.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 x)) (pow.f64 (pow.f64 (neg.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 x)) (exp.f64 (log.f64 (neg.f64 x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (log.f64 x)))
(*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 (*.f64 x (log.f64 x))))
(*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (neg.f64 (sqrt.f64 (*.f64 x (log.f64 x)))))
(*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (/.f64 (sqrt.f64 (*.f64 x (log.f64 x))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (pow.f64 (/.f64 (sqrt.f64 (*.f64 x (log.f64 x))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (pow.f64 (neg.f64 (sqrt.f64 (*.f64 x (log.f64 x)))) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (pow.f64 (/.f64 (sqrt.f64 (*.f64 x (log.f64 x))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (log.f64 x) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (log.f64 x) #s(literal -1/2 binary64)) x))
(*.f64 (pow.f64 (log.f64 x) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (log.f64 x) #s(literal -1/2 binary64)) x))
(*.f64 (pow.f64 (log.f64 x) #s(literal 1/2 binary64)) (/.f64 x (pow.f64 (log.f64 x) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (log.f64 x) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (log.f64 x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (log.f64 x) #s(literal -1/2 binary64)) x))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 x (log.f64 x)))) (sqrt.f64 (*.f64 x (log.f64 x))))
(*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 x) #s(literal -1/2 binary64))) (pow.f64 (log.f64 x) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 x (log.f64 x)))) (sqrt.f64 (*.f64 x (log.f64 x))))
(*.f64 (*.f64 x (pow.f64 (log.f64 x) #s(literal -1/2 binary64))) (pow.f64 (log.f64 x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (log.f64 x) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x))
(*.f64 (/.f64 (log.f64 x) (neg.f64 (*.f64 x x))) x)
(*.f64 (/.f64 x (pow.f64 (log.f64 x) #s(literal 3 binary64))) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(*.f64 (/.f64 x (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log.f64 x))
(*.f64 (/.f64 (neg.f64 x) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(*.f64 (/.f64 (neg.f64 x) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log.f64 x))
(*.f64 (pow.f64 (pow.f64 (log.f64 x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal -1/2 binary64)) x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (log.f64 x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal -1/2 binary64)) x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal -1/2 binary64)) x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 x (pow.f64 (log.f64 x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (log.f64 x) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (neg.f64 x) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 (neg.f64 x) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (log.f64 x))
(*.f64 (pow.f64 (pow.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 x (pow.f64 (log.f64 x) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (log.f64 x) (neg.f64 (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) (*.f64 x x))
(*.f64 (pow.f64 (/.f64 (log.f64 x) (neg.f64 (*.f64 x x))) #s(literal -1 binary64)) x)
(*.f64 (pow.f64 (pow.f64 (neg.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 x)))
(*.f64 (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 x (log.f64 x)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (*.f64 x (log.f64 x)))) #s(literal -1 binary64)) (sqrt.f64 (*.f64 x (log.f64 x))))
(*.f64 (pow.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 x) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (log.f64 x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 x (log.f64 x)))) #s(literal -1 binary64)) (sqrt.f64 (*.f64 x (log.f64 x))))
(*.f64 (pow.f64 (/.f64 x (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (log.f64 x) #s(literal -2 binary64)))
(*.f64 (pow.f64 (/.f64 x (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 x)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 x (pow.f64 (log.f64 x) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (log.f64 x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (neg.f64 x) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (log.f64 x) #s(literal -2 binary64)))
(*.f64 (pow.f64 (/.f64 (neg.f64 x) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 x)))
(*.f64 (pow.f64 (pow.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 x (pow.f64 (log.f64 x) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (log.f64 x) (neg.f64 (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 x x))
(*.f64 (pow.f64 (/.f64 (log.f64 x) (neg.f64 (*.f64 x x))) #s(literal 1 binary64)) x)
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (*.f64 x (log.f64 x)))
(*.f64 (exp.f64 (log.f64 (neg.f64 x))) (log.f64 x))
(*.f64 (exp.f64 (log.f64 (neg.f64 x))) (/.f64 #s(literal 1 binary64) (log.f64 x)))
(*.f64 (exp.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) (exp.f64 (neg.f64 (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) (fma.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))))
(*.f64 (exp.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x))))) (exp.f64 (neg.f64 (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))))))
(*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal -1 binary64)))) (*.f64 x (log.f64 x)))
(*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))) (exp.f64 (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) (fma.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 x) #s(literal 2 binary64))))))
(*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))))) (exp.f64 (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x))))))
(log.f64 x)
(+.f64 (log.f64 x) #s(literal 0 binary64))
(+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (log.f64 x))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 x)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x x)))) (log.f64 x))
(+.f64 (log.f64 (pow.f64 x #s(literal -1/2 binary64))) (log.f64 (pow.f64 x #s(literal -1/2 binary64))))
(+.f64 (log.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (log.f64 (log.f64 x)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (log.f64 x))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (log.f64 x)) #s(literal 1 binary64)))
(-.f64 (log.f64 x) #s(literal 0 binary64))
(-.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (log.f64 x))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 x)))
(-.f64 (log.f64 (neg.f64 (*.f64 x (*.f64 x x)))) (log.f64 (neg.f64 (*.f64 x x))))
(-.f64 (log.f64 (neg.f64 (*.f64 x (*.f64 x x)))) (log.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x))))
(-.f64 (log.f64 (neg.f64 (*.f64 x x))) (log.f64 (neg.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log.f64 x))
(-.f64 (log.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(-.f64 (log.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x x)))) (log.f64 x))
(-.f64 (log.f64 (neg.f64 (neg.f64 (*.f64 x x)))) (log.f64 x))
(-.f64 (log.f64 (+.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (log.f64 (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) #s(literal 0 binary64)))))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x (*.f64 x x))))) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(fma.f64 (log.f64 x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (log.f64 x) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (log.f64 x) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (log.f64 x) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64)))
(fma.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 x)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 x) #s(literal 1/2 binary64)) (pow.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 x) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (pow.f64 (log.f64 x) #s(literal -1/2 binary64))) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (log.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (neg.f64 (pow.f64 (log.f64 x) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 x)) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (log.f64 x) #s(literal 0 binary64))
(neg.f64 (log.f64 x))
(/.f64 (log.f64 x) #s(literal 1 binary64))
(/.f64 (log.f64 x) #s(literal -1 binary64))
(/.f64 (log.f64 x) (exp.f64 (log.f64 #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) (pow.f64 (log.f64 x) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 x)))
(/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 x))
(/.f64 (pow.f64 (log.f64 x) #s(literal 1/2 binary64)) (pow.f64 (log.f64 x) #s(literal -1/2 binary64)))
(pow.f64 (log.f64 x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 x)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (log.f64 x) #s(literal -1/2 binary64)) #s(literal -2 binary64))
(pow.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (log.f64 x) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))
(*.f64 (log.f64 x) #s(literal 1 binary64))
(*.f64 (log.f64 x) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 x))
(*.f64 #s(literal -1 binary64) (log.f64 x))
(*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal -2 binary64)))
(*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 x)))
(*.f64 (pow.f64 (log.f64 x) #s(literal 1/2 binary64)) (pow.f64 (log.f64 x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (log.f64 x) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (pow.f64 (log.f64 x) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (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 (neg.f64 (pow.f64 (log.f64 x) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (log.f64 x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.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))

simplify42.0ms (1.1%)

Memory
6.3MiB live, 56.5MiB allocated
Algorithm
egg-herbie
Rules
352×accelerator-lowering-fma.f32
352×accelerator-lowering-fma.f64
256×*-lowering-*.f32
256×*-lowering-*.f64
136×+-lowering-+.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)))

eval82.0ms (2.1%)

Memory
2.6MiB live, 154.4MiB allocated
Compiler

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

prune127.0ms (3.3%)

Memory
0.6MiB live, 161.1MiB allocated
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New7040704
Fresh000
Picked011
Done011
Total7042706
Accuracy
100.0%
Counts
706 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(log.f64 (/.f64 x (log.f64 x)))
24.6%
(log.f64 (*.f64 x (log.f64 x)))
Compiler

Compiled 614 to 109 computations (82.2% saved)

regimes20.0ms (0.5%)

Memory
-3.7MiB live, 34.8MiB allocated
Counts
21 → 1
Calls
Call 1
Inputs
(log.f64 (*.f64 x (log.f64 x)))
(log.f64 (/.f64 x (log.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 x (log.f64 x)))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(-.f64 (exp.f64 (log.f64 (log.f64 x))) (log.f64 (log.f64 x)))
(-.f64 (/.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 (*.f64 (pow.f64 (log.f64 x) #s(literal 1/2 binary64)) (pow.f64 (log.f64 x) #s(literal 1/2 binary64)))))
(-.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 1/2 binary64)) (pow.f64 (log.f64 x) #s(literal 1/2 binary64))) (log.f64 (log.f64 x)))
(-.f64 (log.f64 x) (*.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x)))))
(-.f64 (log.f64 x) (*.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 1/2 binary64))))
(-.f64 (log.f64 x) (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal 0 binary64))))
(-.f64 (log.f64 x) (*.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal 0 binary64)))))
(-.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 0 binary64))))) (log.f64 (log.f64 x)))
(-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))))
(/.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (neg.f64 (log.f64 (*.f64 x (log.f64 x)))) (*.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log.f64 (*.f64 x (log.f64 x)))) (*.f64 (neg.f64 (log.f64 (*.f64 x (log.f64 x)))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (log.f64 x)))))))
(/.f64 (-.f64 (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 6 binary64)) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 3 binary64))) (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 6 binary64)) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 9 binary64)) (+.f64 (+.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))) (pow.f64 (log.f64 x) #s(literal 6 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 (+.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))) (pow.f64 (log.f64 x) #s(literal 6 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 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))))))) (/.f64 (/.f64 (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
(log.f64 (/.f64 x (log.f64 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)

regimes4.0ms (0.1%)

Memory
9.7MiB live, 9.7MiB 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
24.6%1x
24.6%1(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
24.6%1(log.f64 x)
Compiler

Compiled 12 to 7 computations (41.7% saved)

simplify8.0ms (0.2%)

Memory
-25.6MiB live, 13.2MiB allocated
Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

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

soundness178.0ms (4.7%)

Memory
29.6MiB live, 145.9MiB allocated
Rules
4 954×accelerator-lowering-fma.f32
4 954×accelerator-lowering-fma.f64
3 078×/-lowering-/.f32
3 078×/-lowering-/.f64
2 794×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0410
12110
214710
3139410
0972810
032188
1205135
01705135
Stop Event
done
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 19 to 12 computations (36.8% saved)

preprocess22.0ms (0.6%)

Memory
-23.3MiB live, 55.5MiB allocated
Compiler

Compiled 36 to 20 computations (44.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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