Metrics for Numeric.Log:$cexpm1 from log-domain-0.10.2.1, A

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
100%	100%	0%	0%	0%	0%	0%	1

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample524.0ms (65.6%)

Memory

6.1MiB live, 840.8MiB allocated; 218ms collecting garbage

Samples

334.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 203.0ms

ival-mult!: 201.0ms (99.2% of total)

adjust: 1.0ms (0.5% of total)

Bogosity

preprocess169.0ms (21.2%)

Memory

-43.2MiB live, 58.4MiB allocated; 27ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	23	15
2	69	15
3	177	15
4	348	15
5	2141	15

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 (.f64 x #s(literal 2 binary64)) x)

Symmetry

(abs x)

Compiler

Compiled 8 to 8 computations (0% saved)

series6.0ms (0.8%)

Memory

11.4MiB live, 11.4MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21

Stop Event

1×	iter-limit

Counts

4 → 3

Calls

Call 1

Inputs
(.f64 (.f64 x #s(literal 2 binary64)) x)
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)

Outputs
#s(approx (* (* x 2) x) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* x 2) (*.f64 #s(literal 2 binary64) x))
#s(approx x x)

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((* (* x 2) x) (* x 2) x 2)
1.0ms	x	@	inf	((* (* x 2) x) (* x 2) x 2)
1.0ms	x	@	0	((* (* x 2) x) (* x 2) x 2)

rewrite37.0ms (4.6%)

Memory

27.4MiB live, 74.3MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	10
0	6	10
1	11	10
2	36	10
0	200	10
1	300	10

Stop Event

1×	saturated
1×	iter-limit
1×	iter-limit
1×	unsound
1×	iter-limit

Counts

4 → 24

Calls

Call 1

Inputs
(.f64 (.f64 x #s(literal 2 binary64)) x)
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)

Outputs
(.f64 (.f64 x x) #s(literal 2 binary64))
(.f64 (.f64 (+.f64 x x) x) #s(literal 1 binary64))
(*.f64 (+.f64 x x) x)
(.f64 #s(literal 2 binary64) (.f64 #s(literal 1 binary64) (*.f64 x x)))
(.f64 #s(literal 2 binary64) (.f64 x x))
(*.f64 x (+.f64 x x))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 x x))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 x x))
(fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 x x (*.f64 x x))
(+.f64 (.f64 (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 #s(literal 1 binary64) (.f64 x x)))
(+.f64 (.f64 x x) (.f64 x x))
(*.f64 #s(literal 1 binary64) (+.f64 x x))
(*.f64 (+.f64 x x) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(-.f64 x (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(-.f64 x (*.f64 #s(literal -1 binary64) x))
(-.f64 x (neg.f64 x))
(+.f64 x x)
x
#s(literal 2 binary64)

eval2.0ms (0.3%)

Memory: 7.3MiB live, 7.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 83 to 49 computations (41% saved)

prune4.0ms (0.5%)

Memory

-40.9MiB live, 3.6MiB allocated; 3ms collecting garbage

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	23	1	24
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	24	1	25

Accuracy

100.0%

Counts

25 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 (+.f64 x x) x)

Compiler

Compiled 3 to 3 computations (0% saved)

series5.0ms (0.6%)

Memory

13.7MiB live, 13.7MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21

Stop Event

1×	iter-limit

Counts

3 → 3

Calls

Call 1

Inputs
(*.f64 (+.f64 x x) x)
(+.f64 x x)
x

Outputs
#s(approx (* (+ x x) x) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ x x) (*.f64 #s(literal 2 binary64) x))
#s(approx x x)

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	((* (+ x x) x) (+ x x) x)
1.0ms	x	@	-inf	((* (+ x x) x) (+ x x) x)
1.0ms	x	@	inf	((* (+ x x) x) (+ x x) x)

rewrite26.0ms (3.3%)

Memory

4.7MiB live, 50.4MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	9
0	5	9
1	23	9
0	143	9
1	345	9

Stop Event

1×	saturated
1×	iter-limit
1×	iter-limit
1×	unsound
1×	iter-limit

Counts

3 → 14

Calls

Call 1

Inputs
(*.f64 (+.f64 x x) x)
(+.f64 x x)
x

Outputs
(.f64 #s(literal 2 binary64) (.f64 x x))
(*.f64 (+.f64 x x) x)
(*.f64 x (+.f64 x x))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 x x))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 x x))
(fma.f64 x x (*.f64 x x))
(+.f64 (.f64 x x) (.f64 x x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(neg.f64 (-.f64 (neg.f64 x) x))
(-.f64 x (neg.f64 x))
(+.f64 x (neg.f64 (neg.f64 x)))
(+.f64 x x)
x

eval1.0ms (0.2%)

Memory: 3.3MiB live, 3.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 48 to 34 computations (29.2% saved)

prune1.0ms (0.1%)

Memory

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

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	14	0	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	14	1	15

Accuracy

100.0%

Counts

15 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (+.f64 x x) x)

Compiler

Compiled 9 to 9 computations (0% saved)

regimes2.0ms (0.3%)

Memory

8.3MiB live, 8.3MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

2 → 1

Calls

Call 1

Inputs
(*.f64 (+.f64 x x) x)
(.f64 (.f64 x #s(literal 2 binary64)) x)

Outputs
(*.f64 (+.f64 x x) x)

Calls

2 calls:

1.0ms	x
1.0ms	(.f64 (.f64 x #s(literal 2 binary64)) x)

Results

Accuracy	Segments	Branch
100.0%	1	`(.f64 (.f64 x #s(literal 2 binary64)) x)`
100.0%	1	`x`

Compiler

Compiled 5 to 5 computations (0% saved)

derivations1.0ms (0.2%)

Memory

3.7MiB live, 3.7MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 3 to 3 computations (0% saved)

preprocess20.0ms (2.5%)

Memory: -6.1MiB live, 48.3MiB allocated; 6ms collecting garbage
Remove: (abs x)
Compiler: Compiled 13 to 13 computations (0% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample524.0ms (65.6%)

preprocess169.0ms (21.2%)

series6.0ms (0.8%)

rewrite37.0ms (4.6%)

eval2.0ms (0.3%)

prune4.0ms (0.5%)

series5.0ms (0.6%)

rewrite26.0ms (3.3%)

eval1.0ms (0.2%)

prune1.0ms (0.1%)

regimes2.0ms (0.3%)

derivations1.0ms (0.2%)

preprocess20.0ms (2.5%)

end0.0ms (0%)

Profiling