Metrics for math.square on complex, imaginary part

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample513.0ms (60%)

Memory

6.4MiB live, 713.3MiB allocated; 132ms collecting garbage

Samples

272.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 112.0ms

ival-mult!: 85.0ms (75.9% of total)

ival-add!: 25.0ms (22.3% of total)

adjust: 1.0ms (0.9% of total)

Bogosity

preprocess57.0ms (6.7%)

Memory

2.2MiB live, 48.4MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	44
1	35	32
2	80	30
3	153	30
4	217	30
5	315	30
6	747	30
7	1602	30
8	3578	30

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 (.f64 re im) (.f64 im re))

Symmetry

(negabs re)

(negabs im)

(sort re im)

Compiler

Compiled 10 to 10 computations (0% saved)

series6.0ms (0.7%)

Memory

8.2MiB live, 8.2MiB allocated; 0ms collecting garbage

Counts

5 → 2

Calls

Call 1

Inputs
(+.f64 (.f64 re im) (.f64 im re))
(*.f64 re im)
re
im
(*.f64 im re)

Outputs
#s(approx (+ (* re im) (* im re)) #s(hole binary64 (* 2 (* im re))))
#s(approx (* re im) #s(hole binary64 (* im re)))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	im	@	-inf	((+ (* re im) (* im re)) (* re im) re im (* im re))
1.0ms	re	@	-inf	((+ (* re im) (* im re)) (* re im) re im (* im re))
1.0ms	re	@	inf	((+ (* re im) (* im re)) (* re im) re im (* im re))
1.0ms	im	@	inf	((+ (* re im) (* im re)) (* re im) re im (* im re))
1.0ms	re	@	0	((+ (* re im) (* im re)) (* re im) re im (* im re))

rewrite45.0ms (5.3%)

Memory

35.4MiB live, 105.2MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	35
0	13	31
1	45	19
0	191	19

Stop Event

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

Counts

7 → 9

Calls

Call 1

Inputs
(+.f64 (.f64 re im) (.f64 im re))
(*.f64 re im)
re
im
(*.f64 im re)
#s(approx (+ (* re im) (* im re)) #s(hole binary64 (* 2 (* im re))))
#s(approx (* re im) #s(hole binary64 (* im re)))

Outputs
#s(literal 2 binary64)
(*.f64 im re)
(*.f64 re im)
re
im
(*.f64 im re)
(*.f64 re im)
#s(approx (+ (* re im) (* im re)) #s(literal 2 binary64))
#s(approx (* re im) (*.f64 im re))

eval0.0ms (0%)

Memory: 1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 14 to 11 computations (21.4% saved)

prune1.0ms (0.1%)

Memory

3.4MiB live, 3.4MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	3	1	4
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	3	2	5

Accuracy

100.0%

Counts

5 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (.f64 re im) (.f64 im re))
▶	5.2%	#s(approx (+ (* re im) (* im re)) #s(literal 2 binary64))

Compiler

Compiled 12 to 12 computations (0% saved)

series2.0ms (0.3%)

Memory

5.8MiB live, 5.8MiB allocated; 0ms collecting garbage

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (+ (* re im) (* im re)) #s(literal 2 binary64))
#s(literal 2 binary64)

Outputs
#s(approx (+ (* re im) (* im re)) #s(hole binary64 (* 2 (* im re))))

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	re	@	-inf	((+ (* re im) (* im re)) 2)
0.0ms	im	@	-inf	((+ (* re im) (* im re)) 2)
0.0ms	re	@	inf	((+ (* re im) (* im re)) 2)
0.0ms	re	@	0	((+ (* re im) (* im re)) 2)
0.0ms	im	@	inf	((+ (* re im) (* im re)) 2)

rewrite103.0ms (12%)

Memory

-18.3MiB live, 66.9MiB allocated; 92ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	23
0	9	15
1	39	7
0	187	7

Stop Event

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

Counts

3 → 3

Calls

Call 1

Inputs
#s(approx (+ (* re im) (* im re)) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (+ (* re im) (* im re)) #s(hole binary64 (* 2 (* im re))))

Outputs
#s(approx (+ (* re im) (* im re)) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (+ (* re im) (* im re)) #s(literal 2 binary64))

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0.1%)

Memory

3.5MiB live, 3.5MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (0 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	1	1
Total	2	2

Accuracy

100.0%

Counts

2 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (.f64 re im) (.f64 im re))
✓	5.2%	#s(approx (+ (* re im) (* im re)) #s(literal 2 binary64))

Compiler

Compiled 22 to 22 computations (0% saved)

regimes4.0ms (0.5%)

Memory

15.4MiB live, 15.4MiB allocated; 0ms collecting garbage

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (+ (* re im) (* im re)) #s(literal 2 binary64))
(+.f64 (.f64 re im) (.f64 im re))

Outputs
(+.f64 (.f64 re im) (.f64 im re))

Calls

3 calls:

1.0ms	im
1.0ms	re
1.0ms	(+.f64 (.f64 re im) (.f64 im re))

Results

Accuracy	Segments	Branch
100.0%	1	`(+.f64 (.f64 re im) (.f64 im re))`
100.0%	1	`re`
100.0%	1	`im`

Compiler

Compiled 7 to 9 computations (-28.6% saved)

regimes3.0ms (0.4%)

Memory

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

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (+ (* re im) (* im re)) #s(literal 2 binary64))

Outputs
#s(approx (+ (* re im) (* im re)) #s(literal 2 binary64))

Calls

3 calls:

1.0ms	(+.f64 (.f64 re im) (.f64 im re))
1.0ms	im
1.0ms	re

Results

Accuracy	Segments	Branch
5.2%	1	`(+.f64 (.f64 re im) (.f64 im re))`
5.2%	1	`re`
5.2%	1	`im`

Compiler

Compiled 7 to 9 computations (-28.6% saved)

derivations2.0ms (0.3%)

Memory

7.2MiB live, 7.2MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 10 to 10 computations (0% saved)

preprocess116.0ms (13.6%)

Memory: -35.2MiB live, 111.5MiB allocated; 85ms collecting garbage
Remove: (sort re im)
Compiler: Compiled 115 to 115 computations (0% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample513.0ms (60%)

preprocess57.0ms (6.7%)

series6.0ms (0.7%)

rewrite45.0ms (5.3%)

eval0.0ms (0%)

prune1.0ms (0.1%)

series2.0ms (0.3%)

rewrite103.0ms (12%)

eval0.0ms (0%)

prune1.0ms (0.1%)

regimes4.0ms (0.5%)

regimes3.0ms (0.4%)

derivations2.0ms (0.3%)

preprocess116.0ms (13.6%)

end0.0ms (0%)

Profiling