Jmat.Real.lambertw, estimator

Time bar (total: 4.6s)

analyze1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated
Algorithm
1×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)

sample753.0ms (16.3%)

Memory
30.5MiB live, 467.9MiB allocated
Samples
536.0ms8 256×0valid
0.0ms9×0invalid
Precisions
Click to see histograms. Total time spent on operations: 394.0ms
ival-log: 304.0ms (77.1% of total)
ival-sub: 83.0ms (21.1% of total)
ival-true: 5.0ms (1.3% of total)
ival-assert: 2.0ms (0.5% of total)
Bogosity

preprocess38.0ms (0.8%)

Memory
-17.4MiB live, 19.6MiB allocated
Algorithm
2×egg-herbie
Rules
80×accelerator-lowering-fma.f32
80×accelerator-lowering-fma.f64
64×sub-neg
48×*-lowering-*.f32
48×*-lowering-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0923
11923
24122
37622
412822
519122
623622
726022
830422
931922
1032722
046
166
2116
3176
4256
5406
6736
7976
81416
91566
101646
01646
Stop Event
1×iter limit
1×saturated
1×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)))
Call 2
Inputs
(- (log x) (log (log x)))
(- (log (neg x)) (log (log (neg x))))
(neg (- (log (neg x)) (log (log (neg x)))))
Outputs
(- (log x) (log (log x)))
(- (log (neg x)) (log (log (neg x))))
(neg (- (log (neg x)) (log (log (neg x)))))
(- (log (log (neg x))) (log (neg x)))

explain81.0ms (1.7%)

Memory
0.2MiB live, 39.3MiB 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
49.0ms512×0valid
Compiler

Compiled 42 to 20 computations (52.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-log: 35.0ms (92.5% of total)
ival-sub: 2.0ms (5.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
0.5MiB live, 0.5MiB 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
3.0MiB live, 3.0MiB allocated
Algorithm
1×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
1×iter limit
1×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))

localize59.0ms (1.3%)

Memory
-24.5MiB live, 24.2MiB 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
54.0ms256×0valid
Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-sub: 42.0ms (86.2% of total)
ival-log: 6.0ms (12.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series166.0ms (3.6%)

Memory
17.1MiB live, 168.9MiB 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
75.0ms
x
@-inf
(- (log x) (log (log x)))
53.0ms
x
@0
(- (log x) (log (log x)))
37.0ms
x
@inf
(- (log x) (log (log x)))
0.0ms
x
@0
(log x)
0.0ms
x
@-inf
(log x)

rewrite392.0ms (8.5%)

Memory
21.4MiB live, 504.6MiB allocated
Algorithm
1×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
1×iter limit
1×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 (-.f64 #s(literal 0 binary64) x)) (log.f64 (-.f64 #s(literal 0 binary64) (log.f64 x))))
(+.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) (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)) (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 x (log.f64 x))))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 x (log.f64 x)))))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) (log.f64 (-.f64 #s(literal 0 binary64) (log.f64 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) (/.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) (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 x (log.f64 x))))) (-.f64 #s(literal 0 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)))) (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)))) (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 x (log.f64 x)))))
(-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 9 binary64)) (*.f64 (fma.f64 (log.f64 x) (log.f64 (log.f64 x)) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))) (+.f64 (+.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 (/.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (pow.f64 (*.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x)))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x)))) (-.f64 (*.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x)))) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (log.f64 x) #s(literal 4 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (log.f64 x) (log.f64 (log.f64 x)) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 (log.f64 x) (log.f64 (log.f64 x)) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))))
(*.f64 (pow.f64 (/.f64 (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) (-.f64 #s(literal 0 binary64) (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) (-.f64 #s(literal 0 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 (log.f64 x) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(neg.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)))
(/.f64 (log.f64 x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (log.f64 x))
(/.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (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) (-.f64 #s(literal 0 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 (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 (-.f64 #s(literal 0 binary64) (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)))

simplify93.0ms (2%)

Memory
-7.3MiB live, 69.4MiB allocated
Algorithm
1×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
1×iter limit
1×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 (0.8%)

Memory
-21.0MiB live, 97.0MiB allocated
Compiler

Compiled 9 114 to 694 computations (92.4% saved)

prune55.0ms (1.2%)

Memory
-10.4MiB live, 157.3MiB allocated
Pruning

23 alts after pruning (22 fresh and 1 done)

PrunedKeptTotal
New30122323
Fresh000
Picked011
Done000
Total30123324
Accuracy
100.0%
Counts
324 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.6%
(/.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 x (log.f64 x)))) (*.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))))
99.2%
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)) (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)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (log.f64 x)))))))
96.3%
(/.f64 (-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 3 binary64))) (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 6 binary64)) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x))))))))
▶96.6%
(/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))) (log.f64 (*.f64 x (log.f64 x)))) (*.f64 (log.f64 (*.f64 x (log.f64 x))) (/.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))))
96.6%
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log.f64 (*.f64 x (log.f64 x)))) (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 x (log.f64 x)))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))))
96.7%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))) (*.f64 (/.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))))
96.7%
(/.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)))))
24.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 x (log.f64 x)))))
99.2%
(-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (log.f64 x)))))) (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (log.f64 x)))))))
▶96.8%
(-.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)))))))
98.9%
(-.f64 (/.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (log.f64 x)))))) (/.f64 (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (log.f64 x)))))))
99.3%
(-.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 0 binary64))))) (log.f64 (log.f64 x)))
99.5%
(-.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 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)))
99.6%
(-.f64 (log.f64 x) (exp.f64 (log.f64 (log.f64 (log.f64 x)))))
98.3%
(-.f64 (exp.f64 (log.f64 (log.f64 x))) (log.f64 (log.f64 x)))
▶24.8%
(log.f64 (*.f64 x (log.f64 x)))
Compiler

Compiled 1 371 to 546 computations (60.2% saved)

simplify322.0ms (7%)

Memory
17.2MiB live, 652.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(log.f64 x)
✓cost-diff0
(pow.f64 (log.f64 x) #s(literal 2 binary64))
✓cost-diff13184
(-.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))) (log.f64 (*.f64 x (log.f64 x))))
✓cost-diff47744
(/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))) (log.f64 (*.f64 x (log.f64 x)))) (*.f64 (log.f64 (*.f64 x (log.f64 x))) (/.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))))
✓cost-diff0
(log.f64 x)
✓cost-diff0
(pow.f64 (log.f64 x) #s(literal 2 binary64))
✓cost-diff0
(/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x))))
✓cost-diff13888
(-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))))
✓cost-diff0
(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-diff-64
(*.f64 x (log.f64 x))
✓cost-diff0
(log.f64 x)
✓cost-diff0
(log.f64 (*.f64 x (log.f64 x)))
✓cost-diff0
(log.f64 x)
✓cost-diff0
(-.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))))
✓cost-diff5824
(pow.f64 (log.f64 (log.f64 x)) #s(literal 1/2 binary64))
✓cost-diff14400
(*.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)))
Rules
6 662×accelerator-lowering-fma.f32
6 662×accelerator-lowering-fma.f64
5 748×*-lowering-*.f32
5 748×*-lowering-*.f64
3 550×/-lowering-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
024245
155231
2134231
3486215
42750215
55582215
08095215
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(- (log x) (* (pow (log (log x)) 1/2) (pow (log (log x)) 1/2)))
(log x)
x
(* (pow (log (log x)) 1/2) (pow (log (log x)) 1/2))
(pow (log (log x)) 1/2)
(log (log x))
1/2
(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
(- (/ (pow (log x) 2) (log (* x (log x)))) (/ (pow (log (log x)) 2) (log (* x (log x)))))
(/ (pow (log x) 2) (log (* x (log x))))
(pow (log x) 2)
(log x)
x
2
(log (* x (log x)))
(* x (log x))
(/ (pow (log (log x)) 2) (log (* x (log x))))
(pow (log (log x)) 2)
(log (log x))
(/ (- (* (pow (log x) 2) (/ (log (* x (log x))) (pow (log (log x)) 2))) (log (* x (log x)))) (* (log (* x (log x))) (/ (log (* x (log x))) (pow (log (log x)) 2))))
(- (* (pow (log x) 2) (/ (log (* x (log x))) (pow (log (log x)) 2))) (log (* x (log x))))
(* (pow (log x) 2) (/ (log (* x (log x))) (pow (log (log x)) 2)))
(pow (log x) 2)
(log x)
x
2
(/ (log (* x (log x))) (pow (log (log x)) 2))
(log (* x (log x)))
(* x (log x))
(pow (log (log x)) 2)
(log (log x))
(* (log (* x (log x))) (/ (log (* x (log x))) (pow (log (log x)) 2)))
Outputs
(- (log x) (* (pow (log (log x)) 1/2) (pow (log (log x)) 1/2)))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(log x)
(log.f64 x)
x
(* (pow (log (log x)) 1/2) (pow (log (log x)) 1/2))
(log.f64 (log.f64 x))
(pow (log (log x)) 1/2)
(sqrt.f64 (log.f64 (log.f64 x)))
(log (log x))
(log.f64 (log.f64 x))
1/2
#s(literal 1/2 binary64)
(log (* x (log x)))
(log.f64 (fma.f64 x (log.f64 x) #s(literal 0 binary64)))
(* x (log x))
(fma.f64 x (log.f64 x) #s(literal 0 binary64))
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)
(- (/ (pow (log x) 2) (log (* x (log x)))) (/ (pow (log (log x)) 2) (log (* x (log x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))) (log.f64 (fma.f64 x (log.f64 x) #s(literal 0 binary64))))
(/ (pow (log x) 2) (log (* x (log x))))
(/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (fma.f64 x (log.f64 x) #s(literal 0 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 (fma.f64 x (log.f64 x) #s(literal 0 binary64)))
(* x (log x))
(fma.f64 x (log.f64 x) #s(literal 0 binary64))
(/ (pow (log (log x)) 2) (log (* x (log x))))
(/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 (fma.f64 x (log.f64 x) #s(literal 0 binary64))))
(pow (log (log x)) 2)
(pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))
(log (log x))
(log.f64 (log.f64 x))
(/ (- (* (pow (log x) 2) (/ (log (* x (log x))) (pow (log (log x)) 2))) (log (* x (log x)))) (* (log (* x (log x))) (/ (log (* x (log x))) (pow (log (log x)) 2))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))) (log.f64 (fma.f64 x (log.f64 x) #s(literal 0 binary64))))
(- (* (pow (log x) 2) (/ (log (* x (log x))) (pow (log (log x)) 2))) (log (* x (log x))))
(fma.f64 (log.f64 (fma.f64 x (log.f64 x) #s(literal 0 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))) #s(literal 0 binary64))
(* (pow (log x) 2) (/ (log (* x (log x))) (pow (log (log x)) 2)))
(/.f64 (fma.f64 (log.f64 (fma.f64 x (log.f64 x) #s(literal 0 binary64))) (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64)) (pow.f64 (log.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))) (pow (log (log x)) 2))
(/.f64 (log.f64 (fma.f64 x (log.f64 x) #s(literal 0 binary64))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))
(log (* x (log x)))
(log.f64 (fma.f64 x (log.f64 x) #s(literal 0 binary64)))
(* x (log x))
(fma.f64 x (log.f64 x) #s(literal 0 binary64))
(pow (log (log x)) 2)
(pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))
(log (log x))
(log.f64 (log.f64 x))
(* (log (* x (log x))) (/ (log (* x (log x))) (pow (log (log x)) 2)))
(/.f64 (*.f64 (log.f64 (fma.f64 x (log.f64 x) #s(literal 0 binary64))) (log.f64 (fma.f64 x (log.f64 x) #s(literal 0 binary64)))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))

localize110.0ms (2.4%)

Memory
11.7MiB live, 326.9MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy99.4%
(*.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))))
✓accuracy99.3%
(pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))
✓accuracy99.2%
(pow.f64 (log.f64 x) #s(literal 2 binary64))
✓accuracy97.7%
(log.f64 (*.f64 x (log.f64 x)))
✓accuracy99.4%
(/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x))))
✓accuracy99.3%
(pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))
✓accuracy99.2%
(pow.f64 (log.f64 x) #s(literal 2 binary64))
✓accuracy97.7%
(log.f64 (*.f64 x (log.f64 x)))
✓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))
✓accuracy97.7%
(log.f64 (*.f64 x (log.f64 x)))
✓accuracy99.9%
(log.f64 (log.f64 x))
✓accuracy99.9%
(pow.f64 (log.f64 (log.f64 x)) #s(literal 1/2 binary64))
✓accuracy99.6%
(-.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))))
✓accuracy99.1%
(*.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)))
Samples
63.0ms256×0valid
Compiler

Compiled 290 to 26 computations (91% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-log: 13.0ms (30.1% of total)
ival-div: 9.0ms (20.8% of total)
ival-mult: 7.0ms (16.2% of total)
ival-pow2: 6.0ms (13.9% of total)
ival-sub: 4.0ms (9.2% of total)
ival-sqrt: 3.0ms (6.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series67.0ms (1.5%)

Memory
2.6MiB live, 200.0MiB allocated
Counts
18 → 216
Calls
Call 1
Inputs
#<alt (* (pow (log (log x)) 1/2) (pow (log (log x)) 1/2))>
#<alt (pow (log (log x)) 1/2)>
#<alt (- (log x) (* (pow (log (log x)) 1/2) (pow (log (log x)) 1/2)))>
#<alt (log x)>
#<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 x) 2) (log (* x (log x)))) (/ (pow (log (log x)) 2) (log (* x (log x)))))>
#<alt (/ (pow (log x) 2) (log (* x (log x))))>
#<alt (pow (log x) 2)>
#<alt (/ (- (* (pow (log x) 2) (/ (log (* x (log x))) (pow (log (log x)) 2))) (log (* x (log x)))) (* (log (* x (log x))) (/ (log (* x (log x))) (pow (log (log x)) 2))))>
#<alt (- (* (pow (log x) 2) (/ (log (* x (log x))) (pow (log (log x)) 2))) (log (* x (log x))))>
#<alt (log (log x))>
#<alt (log (* (pow (log x) 1/2) (pow (log x) 1/2)))>
#<alt (pow (log (log x)) 2)>
#<alt (* (log (* x (log x))) (/ (log (* x (log x))) (pow (log (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 (sqrt (log (log x)))>
#<alt (sqrt (log (log x)))>
#<alt (sqrt (log (log x)))>
#<alt (sqrt (log (log x)))>
#<alt (sqrt (log (* -1 (log (/ 1 x)))))>
#<alt (sqrt (log (* -1 (log (/ 1 x)))))>
#<alt (sqrt (log (* -1 (log (/ 1 x)))))>
#<alt (sqrt (log (* -1 (log (/ 1 x)))))>
#<alt (sqrt (log (+ (log -1) (* -1 (log (/ -1 x))))))>
#<alt (sqrt (log (+ (log -1) (* -1 (log (/ -1 x))))))>
#<alt (sqrt (log (+ (log -1) (* -1 (log (/ -1 x))))))>
#<alt (sqrt (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 (+ (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 (- (/ (pow (log x) 2) (+ (log x) (log (log x)))) (/ (pow (log (log x)) 2) (+ (log x) (log (log x)))))>
#<alt (- (/ (pow (log x) 2) (+ (log x) (log (log x)))) (/ (pow (log (log x)) 2) (+ (log x) (log (log x)))))>
#<alt (- (/ (pow (log x) 2) (+ (log x) (log (log x)))) (/ (pow (log (log x)) 2) (+ (log x) (log (log x)))))>
#<alt (- (/ (pow (log x) 2) (+ (log x) (log (log x)))) (/ (pow (log (log x)) 2) (+ (log x) (log (log x)))))>
#<alt (- (/ (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))) (/ (pow (log (* -1 (log (/ 1 x)))) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))))>
#<alt (- (/ (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))) (/ (pow (log (* -1 (log (/ 1 x)))) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))))>
#<alt (- (/ (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))) (/ (pow (log (* -1 (log (/ 1 x)))) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))))>
#<alt (- (/ (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))) (/ (pow (log (* -1 (log (/ 1 x)))) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))))>
#<alt (- (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))) (/ (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))))>
#<alt (- (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))) (/ (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))))>
#<alt (- (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))) (/ (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))))>
#<alt (- (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))) (/ (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))))>
#<alt (/ (pow (log x) 2) (+ (log x) (log (log x))))>
#<alt (/ (pow (log x) 2) (+ (log x) (log (log x))))>
#<alt (/ (pow (log x) 2) (+ (log x) (log (log x))))>
#<alt (/ (pow (log x) 2) (+ (log x) (log (log x))))>
#<alt (/ (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))))>
#<alt (/ (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))))>
#<alt (/ (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))))>
#<alt (/ (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))))>
#<alt (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))))>
#<alt (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))))>
#<alt (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))))>
#<alt (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))))>
#<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 (log x)) 2) (- (/ (* (pow (log x) 2) (+ (log x) (log (log x)))) (pow (log (log x)) 2)) (+ (log x) (log (log x))))) (pow (+ (log x) (log (log x))) 2))>
#<alt (/ (* (pow (log (log x)) 2) (- (/ (* (pow (log x) 2) (+ (log x) (log (log x)))) (pow (log (log x)) 2)) (+ (log x) (log (log x))))) (pow (+ (log x) (log (log x))) 2))>
#<alt (/ (* (pow (log (log x)) 2) (- (/ (* (pow (log x) 2) (+ (log x) (log (log x)))) (pow (log (log x)) 2)) (+ (log x) (log (log x))))) (pow (+ (log x) (log (log x))) 2))>
#<alt (/ (* (pow (log (log x)) 2) (- (/ (* (pow (log x) 2) (+ (log x) (log (log x)))) (pow (log (log x)) 2)) (+ (log x) (log (log x))))) (pow (+ (log x) (log (log x))) 2))>
#<alt (/ (* (pow (log (* -1 (log (/ 1 x)))) 2) (- (/ (* (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))) (pow (log (* -1 (log (/ 1 x)))) 2)) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))))) (pow (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))) 2))>
#<alt (/ (* (pow (log (* -1 (log (/ 1 x)))) 2) (- (/ (* (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))) (pow (log (* -1 (log (/ 1 x)))) 2)) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))))) (pow (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))) 2))>
#<alt (/ (* (pow (log (* -1 (log (/ 1 x)))) 2) (- (/ (* (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))) (pow (log (* -1 (log (/ 1 x)))) 2)) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))))) (pow (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))) 2))>
#<alt (/ (* (pow (log (* -1 (log (/ 1 x)))) 2) (- (/ (* (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))) (pow (log (* -1 (log (/ 1 x)))) 2)) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))))) (pow (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))) 2))>
#<alt (/ (* (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2) (- (/ (* (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))) (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2)) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))))) (pow (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))) 2))>
#<alt (/ (* (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2) (- (/ (* (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))) (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2)) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))))) (pow (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))) 2))>
#<alt (/ (* (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2) (- (/ (* (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))) (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2)) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))))) (pow (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))) 2))>
#<alt (/ (* (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2) (- (/ (* (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))) (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2)) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))))) (pow (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))) 2))>
#<alt (- (/ (* (pow (log x) 2) (+ (log x) (log (log x)))) (pow (log (log x)) 2)) (+ (log x) (log (log x))))>
#<alt (- (/ (* (pow (log x) 2) (+ (log x) (log (log x)))) (pow (log (log x)) 2)) (+ (log x) (log (log x))))>
#<alt (- (/ (* (pow (log x) 2) (+ (log x) (log (log x)))) (pow (log (log x)) 2)) (+ (log x) (log (log x))))>
#<alt (- (/ (* (pow (log x) 2) (+ (log x) (log (log x)))) (pow (log (log x)) 2)) (+ (log x) (log (log x))))>
#<alt (- (/ (* (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))) (pow (log (* -1 (log (/ 1 x)))) 2)) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))))>
#<alt (- (/ (* (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))) (pow (log (* -1 (log (/ 1 x)))) 2)) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))))>
#<alt (- (/ (* (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))) (pow (log (* -1 (log (/ 1 x)))) 2)) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))))>
#<alt (- (/ (* (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))) (pow (log (* -1 (log (/ 1 x)))) 2)) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))))>
#<alt (- (/ (* (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))) (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2)) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))))>
#<alt (- (/ (* (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))) (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2)) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))))>
#<alt (- (/ (* (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))) (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2)) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))))>
#<alt (- (/ (* (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))) (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2)) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))))>
#<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 (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 (/ (pow (+ (log x) (log (log x))) 2) (pow (log (log x)) 2))>
#<alt (/ (pow (+ (log x) (log (log x))) 2) (pow (log (log x)) 2))>
#<alt (/ (pow (+ (log x) (log (log x))) 2) (pow (log (log x)) 2))>
#<alt (/ (pow (+ (log x) (log (log x))) 2) (pow (log (log x)) 2))>
#<alt (/ (pow (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))) 2) (pow (log (* -1 (log (/ 1 x)))) 2))>
#<alt (/ (pow (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))) 2) (pow (log (* -1 (log (/ 1 x)))) 2))>
#<alt (/ (pow (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))) 2) (pow (log (* -1 (log (/ 1 x)))) 2))>
#<alt (/ (pow (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))) 2) (pow (log (* -1 (log (/ 1 x)))) 2))>
#<alt (/ (pow (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))) 2) (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2))>
#<alt (/ (pow (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))) 2) (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2))>
#<alt (/ (pow (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))) 2) (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2))>
#<alt (/ (pow (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))) 2) (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2))>
Calls

54 calls:

TimeVariablePointExpression
18.0ms
x
@-inf
(log (* x (log x)))
16.0ms
x
@0
(log (* x (log x)))
9.0ms
x
@inf
(log (* x (log x)))
4.0ms
x
@-inf
(/ (- (* (pow (log x) 2) (/ (log (* x (log x))) (pow (log (log x)) 2))) (log (* x (log x)))) (* (log (* x (log x))) (/ (log (* x (log x))) (pow (log (log x)) 2))))
3.0ms
x
@0
(- (/ (pow (log x) 2) (log (* x (log x)))) (/ (pow (log (log x)) 2) (log (* x (log x)))))

rewrite502.0ms (10.9%)

Memory
3.4MiB live, 961.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 856×*-lowering-*.f32
4 856×*-lowering-*.f64
4 088×/-lowering-/.f32
4 088×/-lowering-/.f64
3 930×accelerator-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
024157
1157134
21360124
08396124
Stop Event
1×iter limit
1×node limit
Counts
18 → 1 316
Calls
Call 1
Inputs
(* (pow (log (log x)) 1/2) (pow (log (log x)) 1/2))
(pow (log (log x)) 1/2)
(- (log x) (* (pow (log (log x)) 1/2) (pow (log (log x)) 1/2)))
(log x)
(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 x) 2) (log (* x (log x)))) (/ (pow (log (log x)) 2) (log (* x (log x)))))
(/ (pow (log x) 2) (log (* x (log x))))
(pow (log x) 2)
(/ (- (* (pow (log x) 2) (/ (log (* x (log x))) (pow (log (log x)) 2))) (log (* x (log x)))) (* (log (* x (log x))) (/ (log (* x (log x))) (pow (log (log x)) 2))))
(- (* (pow (log x) 2) (/ (log (* x (log x))) (pow (log (log x)) 2))) (log (* x (log x))))
(log (log x))
(log (* (pow (log x) 1/2) (pow (log x) 1/2)))
(pow (log (log x)) 2)
(* (log (* x (log x))) (/ (log (* x (log x))) (pow (log (log x)) 2)))
Outputs
(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 (log.f64 (log.f64 x)) #s(literal 1/4 binary64)) (log.f64 (pow.f64 (log.f64 x) #s(literal 3/4 binary64))))
(+.f64 (log.f64 (pow.f64 (log.f64 x) #s(literal 3/4 binary64))) (*.f64 (log.f64 (log.f64 x)) #s(literal 1/4 binary64)))
(exp.f64 (log.f64 (log.f64 (log.f64 x))))
(fabs.f64 (log.f64 (log.f64 x)))
(-.f64 (/.f64 (pow.f64 (*.f64 (log.f64 (log.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (log.f64 (/.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x))))) (/.f64 (pow.f64 (*.f64 (log.f64 (log.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (log.f64 (/.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x))))))
(sqrt.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))
(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)) #s(literal 1/4 binary64) (log.f64 (pow.f64 (log.f64 x) #s(literal 3/4 binary64))))
(fma.f64 #s(literal 1/2 binary64) (log.f64 (log.f64 x)) (*.f64 (log.f64 (log.f64 x)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 (log.f64 (log.f64 x)) #s(literal 1/4 binary64)) (*.f64 (log.f64 (log.f64 x)) #s(literal 1/2 binary64)))
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(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x))) (/.f64 (log.f64 (*.f64 x (log.f64 x))) (/.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x))))))
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(*.f64 (/.f64 (log.f64 (*.f64 x (log.f64 x))) (sqrt.f64 (log.f64 (log.f64 x)))) (/.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 3/2 binary64))))
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simplify318.0ms (6.9%)

Memory
-5.4MiB live, 670.3MiB allocated
Algorithm
1×egg-herbie
Rules
7 374×accelerator-lowering-fma.f32
7 374×accelerator-lowering-fma.f64
4 522×*-lowering-*.f32
4 522×*-lowering-*.f64
1 868×--lowering--.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0722924
11762752
26252712
316712424
460032400
081822400
Stop Event
1×iter limit
1×node limit
Counts
216 → 216
Calls
Call 1
Inputs
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(/ (pow (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))) 2) (pow (log (* -1 (log (/ 1 x)))) 2))
(/ (pow (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))) 2) (pow (log (* -1 (log (/ 1 x)))) 2))
(/ (pow (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))) 2) (pow (log (* -1 (log (/ 1 x)))) 2))
(/ (pow (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))) 2) (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2))
(/ (pow (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))) 2) (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2))
(/ (pow (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))) 2) (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2))
(/ (pow (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))) 2) (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2))
Outputs
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(*.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))) (+.f64 (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) (pow.f64 (log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(- (/ (* (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))) (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2)) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))))
(*.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))) (+.f64 (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) (pow.f64 (log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(- (/ (* (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))) (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2)) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))))
(*.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))) (+.f64 (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) (pow.f64 (log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(log (log x))
(log.f64 (log.f64 x))
(log (log x))
(log.f64 (log.f64 x))
(log (log x))
(log.f64 (log.f64 x))
(log (log x))
(log.f64 (log.f64 x))
(log (* -1 (log (/ 1 x))))
(log.f64 (log.f64 x))
(log (* -1 (log (/ 1 x))))
(log.f64 (log.f64 x))
(log (* -1 (log (/ 1 x))))
(log.f64 (log.f64 x))
(log (* -1 (log (/ 1 x))))
(log.f64 (log.f64 x))
(log (+ (log -1) (* -1 (log (/ -1 x)))))
(log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(log (+ (log -1) (* -1 (log (/ -1 x)))))
(log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(log (+ (log -1) (* -1 (log (/ -1 x)))))
(log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(log (+ (log -1) (* -1 (log (/ -1 x)))))
(log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(log (log x))
(log.f64 (log.f64 x))
(log (log x))
(log.f64 (log.f64 x))
(log (log x))
(log.f64 (log.f64 x))
(log (log x))
(log.f64 (log.f64 x))
(log (* -1 (log (/ 1 x))))
(log.f64 (log.f64 x))
(log (* -1 (log (/ 1 x))))
(log.f64 (log.f64 x))
(log (* -1 (log (/ 1 x))))
(log.f64 (log.f64 x))
(log (* -1 (log (/ 1 x))))
(log.f64 (log.f64 x))
(log (+ (log -1) (* -1 (log (/ -1 x)))))
(log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(log (+ (log -1) (* -1 (log (/ -1 x)))))
(log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(log (+ (log -1) (* -1 (log (/ -1 x)))))
(log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(log (+ (log -1) (* -1 (log (/ -1 x)))))
(log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(pow (log (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))
(/ (pow (+ (log x) (log (log x))) 2) (pow (log (log x)) 2))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) (log.f64 (log.f64 x)))) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) (log.f64 (log.f64 x)))))
(/ (pow (+ (log x) (log (log x))) 2) (pow (log (log x)) 2))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) (log.f64 (log.f64 x)))) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) (log.f64 (log.f64 x)))))
(/ (pow (+ (log x) (log (log x))) 2) (pow (log (log x)) 2))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) (log.f64 (log.f64 x)))) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) (log.f64 (log.f64 x)))))
(/ (pow (+ (log x) (log (log x))) 2) (pow (log (log x)) 2))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) (log.f64 (log.f64 x)))) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) (log.f64 (log.f64 x)))))
(/ (pow (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))) 2) (pow (log (* -1 (log (/ 1 x)))) 2))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) (log.f64 (log.f64 x)))) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) (log.f64 (log.f64 x)))))
(/ (pow (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))) 2) (pow (log (* -1 (log (/ 1 x)))) 2))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) (log.f64 (log.f64 x)))) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) (log.f64 (log.f64 x)))))
(/ (pow (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))) 2) (pow (log (* -1 (log (/ 1 x)))) 2))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) (log.f64 (log.f64 x)))) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) (log.f64 (log.f64 x)))))
(/ (pow (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))) 2) (pow (log (* -1 (log (/ 1 x)))) 2))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) (log.f64 (log.f64 x)))) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) (log.f64 (log.f64 x)))))
(/ (pow (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))) 2) (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2))
(/.f64 (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.f64 (log.f64 (-.f64 (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 (log (+ (log -1) (* -1 (log (/ -1 x))))) 2))
(/.f64 (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.f64 (log.f64 (-.f64 (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 (log (+ (log -1) (* -1 (log (/ -1 x))))) 2))
(/.f64 (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.f64 (log.f64 (-.f64 (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 (log (+ (log -1) (* -1 (log (/ -1 x))))) 2))
(/.f64 (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.f64 (log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64)))

eval425.0ms (9.2%)

Memory
47.1MiB live, 702.3MiB allocated
Compiler

Compiled 105 377 to 4 942 computations (95.3% saved)

prune243.0ms (5.3%)

Memory
-48.6MiB live, 379.9MiB allocated
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New2 94712 948
Fresh17017
Picked415
Done101
Total2 96922 971
Accuracy
100.0%
Counts
2 971 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(log.f64 (/.f64 x (log.f64 x)))
✓24.8%
(log.f64 (*.f64 x (log.f64 x)))
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify3.0ms (0.1%)

Memory
3.1MiB live, 3.1MiB allocated
Algorithm
1×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
4×log-lowering-log.f64
4×log-lowering-log.f32
2×/-lowering-/.f32
2×/-lowering-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0412
0412
Stop Event
1×iter limit
1×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)

localize23.0ms (0.5%)

Memory
-5.0MiB live, 31.7MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(log.f64 (/.f64 x (log.f64 x)))
✓accuracy100.0%
(log.f64 x)
✓accuracy99.6%
(/.f64 x (log.f64 x))
Samples
17.0ms256×0valid
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 (72.4% of total)
ival-div: 2.0ms (24.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series100.0ms (2.2%)

Memory
19.2MiB live, 133.6MiB 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
63.0ms
x
@-inf
(log (/ x (log x)))
22.0ms
x
@inf
(log (/ x (log x)))
15.0ms
x
@0
(log (/ x (log x)))
0.0ms
x
@0
(/ x (log x))
0.0ms
x
@-inf
(/ x (log x))

rewrite287.0ms (6.2%)

Memory
11.3MiB live, 406.7MiB allocated
Algorithm
1×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
1×iter limit
1×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) (-.f64 #s(literal 0 binary64) (log.f64 (log.f64 x))))
(+.f64 (log.f64 (log.f64 x)) (log.f64 x))
(+.f64 (log.f64 (log.f64 x)) (log.f64 (-.f64 #s(literal 0 binary64) x)))
(+.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) (log.f64 (log.f64 x)))
(+.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) (log.f64 (log.f64 x))))
(+.f64 #s(literal 0 binary64) (log.f64 (*.f64 x (log.f64 x))))
(+.f64 (-.f64 #s(literal 0 binary64) (log.f64 (log.f64 x))) (log.f64 x))
(+.f64 (-.f64 #s(literal 0 binary64) (log.f64 (log.f64 x))) (log.f64 (-.f64 #s(literal 0 binary64) 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 (fma.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal -1/2 binary64) #s(literal 0 binary64)) (fma.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal -1/2 binary64) #s(literal 0 binary64)))
(+.f64 (fma.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal -1/2 binary64) #s(literal 0 binary64)) (log.f64 (neg.f64 (sqrt.f64 (*.f64 x (log.f64 x))))))
(+.f64 (fma.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal -1/2 binary64) #s(literal 0 binary64)) (log.f64 (/.f64 (sqrt.f64 (*.f64 x (log.f64 x))) #s(literal 1 binary64))))
(+.f64 (fma.f64 (log.f64 (log.f64 x)) #s(literal -1/2 binary64) #s(literal 0 binary64)) (log.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal -1/2 binary64)) x)))
(+.f64 (fma.f64 (log.f64 (log.f64 x)) #s(literal -1/2 binary64) #s(literal 0 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))))) (fma.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal -1/2 binary64) #s(literal 0 binary64)))
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(*.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) (-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) #s(literal 1 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(*.f64 (pow.f64 (/.f64 (log.f64 x) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) #s(literal 1 binary64)) x)
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (*.f64 x (log.f64 x)))
(*.f64 (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))) (log.f64 x))
(*.f64 (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) x)) (log.f64 #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (log.f64 x))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))))) (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 (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 #s(literal 2 binary64) (log.f64 x) #s(literal 0 binary64)))
(exp.f64 (log.f64 (log.f64 x)))
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (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 (-.f64 #s(literal 0 binary64) x)) (log.f64 #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (log.f64 x))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x)))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (log.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (log.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64)))))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) (log.f64 (-.f64 #s(literal 0 binary64) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log.f64 x))
(-.f64 (log.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 #s(literal 2 binary64) (log.f64 x) #s(literal 0 binary64)))
(-.f64 (log.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))))) (log.f64 x))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))))) (log.f64 x))
(-.f64 (log.f64 (+.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (log.f64 (+.f64 #s(literal 0 binary64) (-.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))))) (fma.f64 #s(literal 2 binary64) (log.f64 x) #s(literal 0 binary64)))
(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 (-.f64 #s(literal 0 binary64) 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))

simplify50.0ms (1.1%)

Memory
-1.7MiB live, 36.8MiB allocated
Algorithm
1×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
1×iter limit
1×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 (-.f64 #s(literal 0 binary64) x)) (log.f64 (-.f64 (-.f64 #s(literal 0 binary64) (log.f64 (-.f64 #s(literal 0 binary64) x))) (log.f64 #s(literal -1 binary64)))))
(+ (log (/ -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) (log.f64 (-.f64 (-.f64 #s(literal 0 binary64) (log.f64 (-.f64 #s(literal 0 binary64) x))) (log.f64 #s(literal -1 binary64)))))
(+ (log (/ -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) (log.f64 (-.f64 (-.f64 #s(literal 0 binary64) (log.f64 (-.f64 #s(literal 0 binary64) x))) (log.f64 #s(literal -1 binary64)))))
(+ (log (/ -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) (log.f64 (-.f64 (-.f64 #s(literal 0 binary64) (log.f64 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) x))))
(/ x (+ (log -1) (* -1 (log (/ -1 x)))))
(/.f64 x (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x))))
(/ x (+ (log -1) (* -1 (log (/ -1 x)))))
(/.f64 x (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x))))
(/ x (+ (log -1) (* -1 (log (/ -1 x)))))
(/.f64 x (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 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 0 binary64) x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x)))

eval80.0ms (1.7%)

Memory
15.2MiB live, 125.7MiB allocated
Compiler

Compiled 16 053 to 1 670 computations (89.6% saved)

prune88.0ms (1.9%)

Memory
-14.4MiB live, 182.1MiB 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)))
✓24.8%
(log.f64 (*.f64 x (log.f64 x)))
Compiler

Compiled 684 to 124 computations (81.9% saved)

regimes23.0ms (0.5%)

Memory
2.1MiB live, 40.4MiB allocated
Counts
24 → 1
Calls
Call 1
Inputs
(log.f64 (*.f64 x (log.f64 x)))
(log.f64 (/.f64 x (log.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 x (log.f64 x)))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(-.f64 (exp.f64 (log.f64 (log.f64 x))) (log.f64 (log.f64 x)))
(-.f64 (log.f64 x) (exp.f64 (log.f64 (log.f64 (log.f64 x)))))
(-.f64 (/.f64 (-.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 (/.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)) (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 x (log.f64 x)))) (*.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log.f64 (*.f64 x (log.f64 x)))) (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 x (log.f64 x)))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)) (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)) (+.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 2 binary64)) (/.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))) (log.f64 (*.f64 x (log.f64 x)))) (*.f64 (log.f64 (*.f64 x (log.f64 x))) (/.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 x (log.f64 x))) (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))) #s(literal 1 binary64))) (*.f64 (/.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (log.f64 x)))))) (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (log.f64 x)))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (log.f64 x)))))) (/.f64 (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (log.f64 x)))))))
(/.f64 (-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 3 binary64))) (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 6 binary64)) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x))))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 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)))))))
Outputs
(log.f64 (/.f64 x (log.f64 x)))
Calls

3 calls:

8.0ms
x
7.0ms
(log.f64 x)
7.0ms
(-.f64 (log.f64 x) (log.f64 (log.f64 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
8.6MiB live, 8.6MiB 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
24.8%1x
24.8%1(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
24.8%1(log.f64 x)
Compiler

Compiled 12 to 7 computations (41.7% saved)

simplify7.0ms (0.1%)

Memory
11.0MiB live, 10.9MiB allocated
Algorithm
1×egg-herbie
Rules
2×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0610
1710
Stop Event
1×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)))

soundness253.0ms (5.5%)

Memory
-4.1MiB live, 237.4MiB allocated
Rules
4 954×accelerator-lowering-fma.f32
4 954×accelerator-lowering-fma.f64
4 856×*-lowering-*.f32
4 856×*-lowering-*.f64
4 088×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024157
1157134
21360124
08396124
0410
12110
214710
3139410
0972810
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 33 to 18 computations (45.5% saved)

preprocess22.0ms (0.5%)

Memory
10.5MiB live, 47.7MiB 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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