Metrics for math.square on complex, imaginary part

analyze0.0ms (0%)

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 10 to 6 computations (40% saved)

sample682.0ms (87.8%)

Results

592.0ms	7185×	body	256	valid
80.0ms	1071×	body	256	infinite

Bogosity

preprocess16.0ms (2%)

Algorithm

2×	egg-herbie

Rules

8×	`*-commutative`
8×	`associate-r`
6×	`count-2`
4×	`fma-def`
4×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	30
1	13	26
2	19	26
3	24	26
4	30	26
0	2	2
1	2	2

Stop Event

1×	unsound
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1
0

Call 2

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

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

Symmetry

(sort re im)

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify12.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative`
8×	`associate-r`
6×	`count-2`
4×	`fma-def`
4×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	11	13
2	18	13
3	23	13
4	29	13

Stop Event

1×

saturated

Counts

1 → 3

Calls

Call 1

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

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

eval1.0ms (0.1%)

Compiler: Compiled 20 to 8 computations (60% saved)

prune1.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Accurracy

100.0%

Counts

4 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 14 to 8 computations (42.9% saved)

localize20.0ms (2.6%)

Compiler: Compiled 13 to 5 computations (61.5% saved)

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0.1%)

Pruning

1 alts after pruning (0 fresh and 1 done)

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

Accurracy

100.0%

Counts

1 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 21 to 11 computations (47.6% saved)

regimes8.0ms (1%)

Accuracy

Total -0.0b remaining (-∞%)

Threshold costs -0b (-∞%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	im
2.0ms	(+.f64 (.f64 re im) (.f64 im re))
2.0ms	re

Results

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

Compiler

Compiled 29 to 16 computations (44.8% saved)

simplify4.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	7	13

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 7 to 4 computations (42.9% saved)

soundness13.0ms (1.6%)

Rules

8×	`*-commutative`
8×	`associate-r`
6×	`count-2`
4×	`fma-def`
4×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	11	13
2	18	13
3	23	13
4	29	13

Stop Event

1×

saturated

Compiler

Compiled 21 to 8 computations (61.9% saved)

end20.0ms (2.5%)

Remove: (sort re im)
Compiler: Compiled 46 to 26 computations (43.5% saved)

analyze0.0ms (0%)

sample682.0ms (87.8%)

preprocess16.0ms (2%)

simplify12.0ms (1.5%)

eval1.0ms (0.1%)

prune1.0ms (0.1%)

localize20.0ms (2.6%)

eval0.0ms (0%)

prune1.0ms (0.1%)

regimes8.0ms (1%)

simplify4.0ms (0.6%)

soundness13.0ms (1.6%)

end20.0ms (2.5%)

Profiling