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)

sample766.0ms (80.7%)

Results

668.0ms	7217×	body	256	valid
84.0ms	1039×	body	256	infinite

Bogosity

preprocess72.0ms (7.6%)

Algorithm

1×	egg-herbie

Rules

136×	`fma-def`
85×	`associate-+r+`
78×	`associate-r`
47×	`*-commutative`
37×	`associate--r+`

Problems

256×

No Errors

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	205
1	45	141
2	87	133
3	279	133
4	639	133
5	918	133
6	920	133

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (.f64 re im) (.f64 im re))
(+.f64 (.f64 re im) (.f64 im re))
(+.f64 (.f64 (neg.f64 re) im) (.f64 im (neg.f64 re)))
(+.f64 (.f64 re (neg.f64 im)) (.f64 (neg.f64 im) re))
(neg.f64 (+.f64 (.f64 (neg.f64 re) im) (.f64 im (neg.f64 re))))
(neg.f64 (+.f64 (.f64 re (neg.f64 im)) (.f64 (neg.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 2 (.f64 re im))
(.f64 im (.f64 2 re))
(.f64 im (.f64 re 2))
(+.f64 (.f64 re im) (.f64 im re))
(fma.f64 re im (*.f64 re im))
(.f64 2 (.f64 re im))
(.f64 im (.f64 2 re))
(.f64 im (.f64 re 2))
(+.f64 (.f64 (neg.f64 re) im) (.f64 im (neg.f64 re)))
(fma.f64 re (neg.f64 im) (*.f64 re (neg.f64 im)))
(.f64 2 (.f64 re (neg.f64 im)))
(.f64 im (.f64 re -2))
(+.f64 (.f64 re (neg.f64 im)) (.f64 (neg.f64 im) re))
(fma.f64 re (neg.f64 im) (*.f64 re (neg.f64 im)))
(.f64 2 (.f64 re (neg.f64 im)))
(.f64 im (.f64 re -2))
(neg.f64 (+.f64 (.f64 (neg.f64 re) im) (.f64 im (neg.f64 re))))
(fma.f64 re im (*.f64 re im))
(.f64 2 (.f64 re im))
(.f64 im (.f64 2 re))
(.f64 im (.f64 re 2))
(neg.f64 (+.f64 (.f64 re (neg.f64 im)) (.f64 (neg.f64 im) re)))
(fma.f64 re im (*.f64 re im))
(.f64 2 (.f64 re im))
(.f64 im (.f64 2 re))
(.f64 im (.f64 re 2))
(+.f64 (.f64 im re) (.f64 re im))
(fma.f64 re im (*.f64 re im))
(.f64 2 (.f64 re im))
(.f64 im (.f64 2 re))
(.f64 im (.f64 re 2))

Symmetry

(negabs re)

(negabs im)

(sort re im)

Compiler

Compiled 27 to 11 computations (59.3% saved)

eval1.0ms (0.1%)

Compiler: Compiled 23 to 12 computations (47.8% saved)

prune2.0ms (0.2%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 im (.f64 re 2))
▶	100.0%	(.f64 im (.f64 re 2))

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize22.0ms (2.3%)

Compiler: Compiled 14 to 9 computations (35.7% 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

Accuracy

100.0%

Counts

1 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 im (.f64 re 2))

Compiler

Compiled 21 to 13 computations (38.1% saved)

regimes9.0ms (1%)

Accuracy

Total -0.0b remaining (-∞%)

Threshold costs -0b (-∞%)

Counts

2 → 1

Calls

Call 1

Inputs
(.f64 im (.f64 re 2))
(+.f64 (.f64 re im) (.f64 im re))

Outputs
(.f64 im (.f64 re 2))

Calls

3 calls:

3.0ms	im
3.0ms	re
3.0ms	(+.f64 (.f64 re im) (.f64 im 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 17 computations (41.4% saved)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	12	19

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(.f64 im (.f64 re 2))

Outputs
(.f64 im (.f64 re 2))

Compiler

Compiled 7 to 5 computations (28.6% saved)

soundness48.0ms (5.1%)

Rules

136×	`fma-def`
85×	`associate-+r+`
78×	`associate-r`
47×	`*-commutative`
37×	`associate--r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	205
1	45	141
2	87	133
3	279	133
4	639	133
5	918	133
6	920	133

Stop Event

1×

saturated

Compiler

Compiled 31 to 14 computations (54.8% saved)

end0.0ms (0%)

preprocess26.0ms (2.7%)

Remove

(sort re im)

(negabs im)

(negabs re)

Compiler

Compiled 116 to 80 computations (31% saved)

analyze0.0ms (0%)

sample766.0ms (80.7%)

preprocess72.0ms (7.6%)

eval1.0ms (0.1%)

prune2.0ms (0.2%)

localize22.0ms (2.3%)

eval0.0ms (0%)

prune1.0ms (0.1%)

regimes9.0ms (1%)

simplify2.0ms (0.2%)

soundness48.0ms (5.1%)

end0.0ms (0%)

preprocess26.0ms (2.7%)

Profiling