Metrics for Jmat.Real.lambertw, estimator

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze1.0ms (0.1%)

Memory

1.6MiB live, 1.6MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
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)

sample703.0ms (36.8%)

Memory

-10.9MiB live, 767.0MiB allocated; 368ms collecting garbage

Samples

506.0ms	8 256×	0	valid
0.0ms	10×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 221.0ms

ival-log: 199.0ms (89.9% of total)

ival-sub!: 21.0ms (9.5% of total)

adjust: 2.0ms (0.9% of total)

Bogosity

preprocess119.0ms (6.2%)

Memory

-15.6MiB live, 40.1MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	9	18
1	21	17
2	51	17
3	146	17
4	360	17
5	1066	17
6	5554	15

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))

Symmetry

(abs x)

Compiler

Compiled 12 to 8 computations (33.3% saved)

series207.0ms (10.9%)

Memory

24.4MiB live, 385.5MiB allocated; 148ms collecting garbage

Counts

4 → 7

Calls

Call 1

Inputs
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(log.f64 x)
x
(log.f64 (log.f64 x))

Outputs
#s(approx (- (log x) (log (log x))) (-.f64 (log.f64 x) (log.f64 (log.f64 x))))
#s(approx (log x) (log.f64 x))
#s(approx x x)
#s(approx (log (log x)) (log.f64 (log.f64 x)))
#s(approx (- (log x) (log (log x))) (-.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (log.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))))
#s(approx (log x) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (log (log x)) (log.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))

Calls

3 calls:

Time	Variable	Point
49.0ms	x	0
38.0ms	x	-inf
24.0ms	x	inf

rewrite136.0ms (7.1%)

Memory

40.7MiB live, 173.0MiB allocated; 25ms collecting garbage

Counts

4 → 7

Calls

Call 1

Inputs
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(log.f64 x)
x
(log.f64 (log.f64 x))

Outputs
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(log.f64 (/.f64 x (log.f64 x)))
(neg.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 x)))
(log.f64 x)
x
(log.f64 (log.f64 x))

eval1.0ms (0.1%)

Memory: 2.5MiB live, 2.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 119 to 36 computations (69.7% saved)

prune1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	9	1	10
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	9	2	11

Accuracy

100.0%

Counts

11 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
▶	100.0%	(log.f64 (/.f64 x (log.f64 x)))

Compiler

Compiled 11 to 8 computations (27.3% saved)

series232.0ms (12.2%)

Memory

-10.1MiB live, 236.7MiB allocated; 139ms collecting garbage

Counts

4 → 8

Calls

Call 1

Inputs
(log.f64 (/.f64 x (log.f64 x)))
(/.f64 x (log.f64 x))
x
(log.f64 x)

Outputs
#s(approx (log (/ x (log x))) (+.f64 (log.f64 x) (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 x)))))
#s(approx (/ x (log x)) (/.f64 x (log.f64 x)))
#s(approx x x)
#s(approx (log x) (log.f64 x))
#s(approx (log (/ x (log x))) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ x (log x)) (*.f64 #s(literal -1 binary64) (/.f64 x (log.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (log x) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (log (/ x (log x))) (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))

Calls

3 calls:

Time	Variable	Point
75.0ms	x	0
31.0ms	x	inf
29.0ms	x	-inf

rewrite155.0ms (8.1%)

Memory

-6.6MiB live, 177.8MiB allocated; 60ms collecting garbage

Counts

4 → 6

Calls

Call 1

Inputs
(log.f64 (/.f64 x (log.f64 x)))
(/.f64 x (log.f64 x))
x
(log.f64 x)

Outputs
(log.f64 (/.f64 x (log.f64 x)))
(*.f64 x (/.f64 #s(literal 1 binary64) (log.f64 x)))
(/.f64 x (log.f64 x))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
x
(log.f64 x)

eval1.0ms (0.1%)

Memory: 2.9MiB live, 2.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 121 to 48 computations (60.3% saved)

prune1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	9	1	10
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	10	2	12

Accuracy

100.0%

Counts

12 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(log.f64 (/.f64 x (log.f64 x)))
▶	100.0%	(log.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (log.f64 x))))

Compiler

Compiled 12 to 10 computations (16.7% saved)

series144.0ms (7.6%)

Memory

-8.7MiB live, 217.9MiB allocated; 49ms collecting garbage

Counts

6 → 10

Calls

Call 1

Inputs
(log.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (log.f64 x))))
(*.f64 x (/.f64 #s(literal 1 binary64) (log.f64 x)))
x
(/.f64 #s(literal 1 binary64) (log.f64 x))
#s(literal 1 binary64)
(log.f64 x)

Outputs
#s(approx (log (* x (/ 1 (log x)))) (+.f64 (log.f64 x) (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 x)))))
#s(approx (* x (/ 1 (log x))) (/.f64 x (log.f64 x)))
#s(approx x x)
#s(approx (/ 1 (log x)) (/.f64 #s(literal 1 binary64) (log.f64 x)))
#s(approx (log x) (log.f64 x))
#s(approx (log (* x (/ 1 (log x)))) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (* x (/ 1 (log x))) (*.f64 #s(literal -1 binary64) (/.f64 x (log.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ 1 (log x)) (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (log x) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (log (* x (/ 1 (log x)))) (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))

Calls

3 calls:

Time	Variable	Point
20.0ms	x	-inf
20.0ms	x	inf
17.0ms	x	0

rewrite188.0ms (9.9%)

Memory

24.3MiB live, 163.7MiB allocated; 121ms collecting garbage

Counts

6 → 14

Calls

Call 1

Inputs
(log.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (log.f64 x))))
(*.f64 x (/.f64 #s(literal 1 binary64) (log.f64 x)))
x
(/.f64 #s(literal 1 binary64) (log.f64 x))
#s(literal 1 binary64)
(log.f64 x)

Outputs
(log.f64 (/.f64 x (log.f64 x)))
(*.f64 x (/.f64 #s(literal 1 binary64) (log.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 x)) x)
(/.f64 (*.f64 x #s(literal 1 binary64)) (log.f64 x))
(/.f64 x (log.f64 x))
x
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 x)))
(/.f64 #s(literal 1 binary64) (log.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))
(pow.f64 (log.f64 x) #s(literal -1 binary64))
#s(literal 1 binary64)
(cosh.f64 #s(literal 0 binary64))
(exp.f64 #s(literal 0 binary64))
(log.f64 x)

eval2.0ms (0.1%)

Memory: 5.0MiB live, 5.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 203 to 77 computations (62.1% saved)

prune1.0ms (0.1%)

Memory

3.0MiB live, 3.0MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	17	0	17
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	17	2	19

Accuracy

100.0%

Counts

19 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(log.f64 (/.f64 x (log.f64 x)))
✓	100.0%	(log.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (log.f64 x))))

Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes5.0ms (0.3%)

Memory

16.0MiB live, 16.0MiB allocated; 0ms collecting garbage

Accuracy

Total -0.3b remaining (-6900%)

Threshold costs -0.3b (-6900%)

Counts

3 → 1

Calls

Call 1

Inputs
(log.f64 (/.f64 x (log.f64 x)))
(log.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (log.f64 x))))
(-.f64 (log.f64 x) (log.f64 (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	x
1.0ms	(log.f64 x)

Results

Accuracy	Segments	Branch
100.0%	1	`(log.f64 x)`
100.0%	1	`(-.f64 (log.f64 x) (log.f64 (log.f64 x)))`
100.0%	1	`x`

Compiler

Compiled 27 to 17 computations (37% saved)

derivations0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 5 to 4 computations (20% saved)

preprocess11.0ms (0.6%)

Memory: -21.2MiB live, 25.1MiB allocated; 3ms collecting garbage
Remove: (abs x)
Compiler: Compiled 21 to 16 computations (23.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze1.0ms (0.1%)

sample703.0ms (36.8%)

preprocess119.0ms (6.2%)

series207.0ms (10.9%)

rewrite136.0ms (7.1%)

eval1.0ms (0.1%)

prune1.0ms (0%)

series232.0ms (12.2%)

rewrite155.0ms (8.1%)

eval1.0ms (0.1%)

prune1.0ms (0%)

series144.0ms (7.6%)

rewrite188.0ms (9.9%)

eval2.0ms (0.1%)

prune1.0ms (0.1%)

regimes5.0ms (0.3%)

derivations0.0ms (0%)

preprocess11.0ms (0.6%)

end0.0ms (0%)

Profiling