Metrics for _multiplyComplex, real part

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
100%	99.8%	0%	0.2%	0%	0%	0%	1

Compiler

Compiled 9 to 9 computations (0% saved)

sample772.0ms (25.5%)

Memory

27.3MiB live, 972.6MiB allocated

Samples

463.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 197.0ms

ival-mult: 121.0ms (61.6% of total)

ival-sub: 66.0ms (33.6% of total)

ival-true: 6.0ms (3.1% of total)

ival-assert: 3.0ms (1.5% of total)

Bogosity

explain75.0ms (2.5%)

Memory

-15.1MiB live, 146.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
3	-	-	`(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))`
0	-	-	`x.re`
0	-	-	`y.re`
0	-	-	`(*.f64 x.re y.re)`
0	-	-	`(*.f64 x.im y.im)`
0	-	-	`y.im`
0	-	-	`x.im`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))`	nan-rescue	3	0
↳	`(*.f64 x.re y.re)`	overflow	36
↳	`(*.f64 x.im y.im)`	overflow	44

Confusion

	Predicted +	Predicted -
+	3	0
-	0	253

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	3	0	0
-	0	0	253

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	253
1	3

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

28.0ms

512×

valid

Compiler

Compiled 62 to 32 computations (48.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 7.0ms (69.9% of total)

ival-sub: 2.0ms (20% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

preprocess35.0ms (1.1%)

Memory

34.6MiB live, 70.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	102
1	103	102
2	183	102
3	383	102
4	613	102
5	695	102
6	707	102
0	7	7
0	10	7
1	17	7
2	29	7
3	41	7
4	62	7
5	92	7
6	150	7
7	217	7
8	277	7
9	306	7
10	322	7
0	322	7

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))

Outputs
(fma.f64 (neg.f64 y.im) x.im (*.f64 y.re x.re))

Symmetry

(sort x.re y.re)

(sort x.im y.im)

Compiler

Compiled 7 to 7 computations (0% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.8%	(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))

Compiler

Compiled 7 to 7 computations (0% saved)

simplify12.0ms (0.4%)

Memory

-30.8MiB live, 8.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 x.im y.im)
cost-diff	0	(*.f64 x.re y.re)
cost-diff	0	(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
0	10	17
1	17	17
2	29	17
3	41	17
4	62	17
5	92	17
6	150	17
7	217	17
8	277	17
9	306	17
10	322	17
0	322	17

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))
(*.f64 x.re y.re)
x.re
y.re
(*.f64 x.im y.im)
x.im
y.im

Outputs
(fma.f64 (neg.f64 y.im) x.im (*.f64 y.re x.re))
(*.f64 y.re x.re)
x.re
y.re
(*.f64 y.im x.im)
x.im
y.im

localize18.0ms (0.6%)

Memory

30.2MiB live, 30.2MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x.re y.re)
accuracy	0	(*.f64 x.im y.im)
accuracy	0.7578063074906174	(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))

Samples

13.0ms

256×

valid

Compiler

Compiled 36 to 16 computations (55.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 4.0ms (80.7% of total)

ival-sub: 1.0ms (20.2% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series13.0ms (0.4%)

Memory

-28.8MiB live, 18.5MiB allocated

Counts

3 → 96

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 x.re y.re) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 x.im y.im) #<representation binary64>) () ())

Inputs

#s(alt #<batchref> (patch (-.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) #<representation binary64>) () ())

#s(alt #<batchref> (patch (*.f64 x.re y.re) #<representation binary64>) () ())

#s(alt #<batchref> (patch (*.f64 x.im y.im) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 y.im) (#s(alt #<batchref> (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y.im) (#s(alt #<batchref> (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y.im) (#s(alt #<batchref> (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y.im) (#s(alt #<batchref> (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y.im) (#s(alt #<batchref> (patch (*.f64 x.im y.im) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y.im) (#s(alt #<batchref> (patch (*.f64 x.im y.im) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y.im) (#s(alt #<batchref> (patch (*.f64 x.im y.im) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y.im) (#s(alt #<batchref> (patch (*.f64 x.im y.im) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y.im) (#s(alt #<batchref> (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y.im) (#s(alt #<batchref> (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y.im) (#s(alt #<batchref> (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y.im) (#s(alt #<batchref> (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y.im) (#s(alt #<batchref> (patch (*.f64 x.im y.im) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y.im) (#s(alt #<batchref> (patch (*.f64 x.im y.im) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y.im) (#s(alt #<batchref> (patch (*.f64 x.im y.im) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y.im) (#s(alt #<batchref> (patch (*.f64 x.im y.im) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y.im) (#s(alt #<batchref> (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y.im) (#s(alt #<batchref> (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y.im) (#s(alt #<batchref> (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y.im) (#s(alt #<batchref> (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y.im) (#s(alt #<batchref> (patch (*.f64 x.im y.im) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y.im) (#s(alt #<batchref> (patch (*.f64 x.im y.im) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y.im) (#s(alt #<batchref> (patch (*.f64 x.im y.im) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y.im) (#s(alt #<batchref> (patch (*.f64 x.im y.im) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y.re) (#s(alt #<batchref> (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y.re) (#s(alt #<batchref> (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y.re) (#s(alt #<batchref> (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y.re) (#s(alt #<batchref> (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y.re) (#s(alt #<batchref> (patch (*.f64 x.re y.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y.re) (#s(alt #<batchref> (patch (*.f64 x.re y.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y.re) (#s(alt #<batchref> (patch (*.f64 x.re y.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y.re) (#s(alt #<batchref> (patch (*.f64 x.re y.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y.re) (#s(alt #<batchref> (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y.re) (#s(alt #<batchref> (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y.re) (#s(alt #<batchref> (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y.re) (#s(alt #<batchref> (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y.re) (#s(alt #<batchref> (patch (*.f64 x.re y.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y.re) (#s(alt #<batchref> (patch (*.f64 x.re y.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y.re) (#s(alt #<batchref> (patch (*.f64 x.re y.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y.re) (#s(alt #<batchref> (patch (*.f64 x.re y.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y.re) (#s(alt #<batchref> (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y.re) (#s(alt #<batchref> (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y.re) (#s(alt #<batchref> (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y.re) (#s(alt #<batchref> (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y.re) (#s(alt #<batchref> (patch (*.f64 x.re y.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y.re) (#s(alt #<batchref> (patch (*.f64 x.re y.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y.re) (#s(alt #<batchref> (patch (*.f64 x.re y.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y.re) (#s(alt #<batchref> (patch (*.f64 x.re y.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (*.f64 x.im y.im) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (*.f64 x.im y.im) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (*.f64 x.im y.im) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (*.f64 x.im y.im) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x.im) (#s(alt #<batchref> (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x.im) (#s(alt #<batchref> (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x.im) (#s(alt #<batchref> (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x.im) (#s(alt #<batchref> (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x.im) (#s(alt #<batchref> (patch (*.f64 x.im y.im) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x.im) (#s(alt #<batchref> (patch (*.f64 x.im y.im) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x.im) (#s(alt #<batchref> (patch (*.f64 x.im y.im) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x.im) (#s(alt #<batchref> (patch (*.f64 x.im y.im) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.im) (#s(alt #<batchref> (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.im) (#s(alt #<batchref> (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.im) (#s(alt #<batchref> (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.im) (#s(alt #<batchref> (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.im) (#s(alt #<batchref> (patch (*.f64 x.im y.im) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.im) (#s(alt #<batchref> (patch (*.f64 x.im y.im) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.im) (#s(alt #<batchref> (patch (*.f64 x.im y.im) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.im) (#s(alt #<batchref> (patch (*.f64 x.im y.im) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.re) (#s(alt #<batchref> (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.re) (#s(alt #<batchref> (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.re) (#s(alt #<batchref> (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.re) (#s(alt #<batchref> (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.re) (#s(alt #<batchref> (patch (*.f64 x.re y.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.re) (#s(alt #<batchref> (patch (*.f64 x.re y.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.re) (#s(alt #<batchref> (patch (*.f64 x.re y.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.re) (#s(alt #<batchref> (patch (*.f64 x.re y.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x.re) (#s(alt #<batchref> (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x.re) (#s(alt #<batchref> (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x.re) (#s(alt #<batchref> (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x.re) (#s(alt #<batchref> (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x.re) (#s(alt #<batchref> (patch (*.f64 x.re y.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x.re) (#s(alt #<batchref> (patch (*.f64 x.re y.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x.re) (#s(alt #<batchref> (patch (*.f64 x.re y.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x.re) (#s(alt #<batchref> (patch (*.f64 x.re y.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (*.f64 x.re y.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (*.f64 x.re y.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (*.f64 x.re y.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (*.f64 x.re y.re) #<representation binary64>) () ())) ())

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	y.re	@	inf	((- (* x.re y.re) (* x.im y.im)) (* x.re y.re) (* x.im y.im))
2.0ms	y.re	@	-inf	((- (* x.re y.re) (* x.im y.im)) (* x.re y.re) (* x.im y.im))
1.0ms	x.re	@	inf	((- (* x.re y.re) (* x.im y.im)) (* x.re y.re) (* x.im y.im))
1.0ms	y.im	@	inf	((- (* x.re y.re) (* x.im y.im)) (* x.re y.re) (* x.im y.im))
1.0ms	y.im	@	-inf	((- (* x.re y.re) (* x.im y.im)) (* x.re y.re) (* x.im y.im))

simplify126.0ms (4.2%)

Memory

29.5MiB live, 105.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	438
1	141	438
2	387	438
3	1314	438
4	3797	438
5	6123	438
6	7987	438
0	8007	438

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

Inputs
(* x.re y.re)
(+ (* -1 (* x.im y.im)) (* x.re y.re))
(+ (* -1 (* x.im y.im)) (* x.re y.re))
(+ (* -1 (* x.im y.im)) (* x.re y.re))
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* -1 (* x.im y.im))
(* y.im (- (/ (* x.re y.re) y.im) x.im))
(* y.im (- (/ (* x.re y.re) y.im) x.im))
(* y.im (- (/ (* x.re y.re) y.im) x.im))
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* -1 (* x.im y.im))
(* -1 (* y.im (- (* -1 (/ (* x.re y.re) y.im)) (* -1 x.im))))
(* -1 (* y.im (- (* -1 (/ (* x.re y.re) y.im)) (* -1 x.im))))
(* -1 (* y.im (- (* -1 (/ (* x.re y.re) y.im)) (* -1 x.im))))
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* -1 (* x.im y.im))
(- (* x.re y.re) (* x.im y.im))
(- (* x.re y.re) (* x.im y.im))
(- (* x.re y.re) (* x.im y.im))
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* y.re (+ x.re (* -1 (/ (* x.im y.im) y.re))))
(* y.re (+ x.re (* -1 (/ (* x.im y.im) y.re))))
(* y.re (+ x.re (* -1 (/ (* x.im y.im) y.re))))
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* -1 (* y.re (+ (* -1 x.re) (/ (* x.im y.im) y.re))))
(* -1 (* y.re (+ (* -1 x.re) (/ (* x.im y.im) y.re))))
(* -1 (* y.re (+ (* -1 x.re) (/ (* x.im y.im) y.re))))
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(+ (* -1 (* x.im y.im)) (* x.re y.re))
(+ (* -1 (* x.im y.im)) (* x.re y.re))
(+ (* -1 (* x.im y.im)) (* x.re y.re))
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* -1 (* x.im y.im))
(* x.im (- (/ (* x.re y.re) x.im) y.im))
(* x.im (- (/ (* x.re y.re) x.im) y.im))
(* x.im (- (/ (* x.re y.re) x.im) y.im))
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* -1 (* x.im y.im))
(* -1 (* x.im (- (* -1 (/ (* x.re y.re) x.im)) (* -1 y.im))))
(* -1 (* x.im (- (* -1 (/ (* x.re y.re) x.im)) (* -1 y.im))))
(* -1 (* x.im (- (* -1 (/ (* x.re y.re) x.im)) (* -1 y.im))))
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* -1 (* x.im y.im))
(- (* x.re y.re) (* x.im y.im))
(- (* x.re y.re) (* x.im y.im))
(- (* x.re y.re) (* x.im y.im))
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re (+ y.re (* -1 (/ (* x.im y.im) x.re))))
(* x.re (+ y.re (* -1 (/ (* x.im y.im) x.re))))
(* x.re (+ y.re (* -1 (/ (* x.im y.im) x.re))))
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* -1 (* x.re (+ (* -1 y.re) (/ (* x.im y.im) x.re))))
(* -1 (* x.re (+ (* -1 y.re) (/ (* x.im y.im) x.re))))
(* -1 (* x.re (+ (* -1 y.re) (/ (* x.im y.im) x.re))))
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)

Outputs
(*.f64 y.re x.re)
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(*.f64 y.im x.im)
(*.f64 y.im x.im)
(*.f64 y.im x.im)
(*.f64 y.im x.im)
(*.f64 (neg.f64 y.im) x.im)
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(*.f64 y.im x.im)
(*.f64 y.im x.im)
(*.f64 y.im x.im)
(*.f64 y.im x.im)
(*.f64 (neg.f64 y.im) x.im)
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(*.f64 y.im x.im)
(*.f64 y.im x.im)
(*.f64 y.im x.im)
(*.f64 y.im x.im)
(*.f64 (neg.f64 y.im) x.im)
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(*.f64 y.re x.re)
(*.f64 y.re x.re)
(*.f64 y.re x.re)
(*.f64 y.re x.re)
(*.f64 y.re x.re)
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(*.f64 y.re x.re)
(*.f64 y.re x.re)
(*.f64 y.re x.re)
(*.f64 y.re x.re)
(*.f64 y.re x.re)
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(*.f64 y.re x.re)
(*.f64 y.re x.re)
(*.f64 y.re x.re)
(*.f64 y.re x.re)
(*.f64 y.re x.re)
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(*.f64 y.im x.im)
(*.f64 y.im x.im)
(*.f64 y.im x.im)
(*.f64 y.im x.im)
(*.f64 (neg.f64 y.im) x.im)
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(*.f64 y.im x.im)
(*.f64 y.im x.im)
(*.f64 y.im x.im)
(*.f64 y.im x.im)
(*.f64 (neg.f64 y.im) x.im)
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(*.f64 y.im x.im)
(*.f64 y.im x.im)
(*.f64 y.im x.im)
(*.f64 y.im x.im)
(*.f64 (neg.f64 y.im) x.im)
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(*.f64 y.re x.re)
(*.f64 y.re x.re)
(*.f64 y.re x.re)
(*.f64 y.re x.re)
(*.f64 y.re x.re)
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(*.f64 y.re x.re)
(*.f64 y.re x.re)
(*.f64 y.re x.re)
(*.f64 y.re x.re)
(*.f64 y.re x.re)
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(*.f64 y.re x.re)
(*.f64 y.re x.re)
(*.f64 y.re x.re)
(*.f64 y.re x.re)

rewrite271.0ms (8.9%)

Memory

-33.6MiB live, 224.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
0	10	13
1	30	13
2	207	13
3	1953	13
0	8325	13

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

3 → 230

Calls

Call 1

Inputs
(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))
(*.f64 x.re y.re)
(*.f64 x.im y.im)

Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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#<batchref>
#<batchref>

eval88.0ms (2.9%)

Memory: -0.9MiB live, 73.8MiB allocated
Compiler: Compiled 10 906 to 667 computations (93.9% saved)

prune6.0ms (0.2%)

Memory

19.2MiB live, 19.2MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	323	3	326
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	324	3	327

Accuracy

100.0%

Counts

327 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (neg.f64 y.im) x.im (*.f64 y.re x.re))
▶	50.5%	#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 y.im) x.im))
▶	53.7%	#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 y.re x.re))

Compiler

Compiled 30 to 26 computations (13.3% saved)

simplify21.0ms (0.7%)

Memory

-28.5MiB live, 8.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 y.re x.re)
cost-diff	0	(neg.f64 y.im)
cost-diff	0	(fma.f64 (neg.f64 y.im) x.im (*.f64 y.re x.re))
cost-diff	0	(neg.f64 y.im)
cost-diff	0	(*.f64 (neg.f64 y.im) x.im)
cost-diff	0	#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 y.im) x.im))
cost-diff	0	(*.f64 y.re x.re)
cost-diff	0	#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 y.re x.re))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	52
0	17	52
1	33	52
2	42	52
3	55	52
4	78	52
5	106	52
6	166	52
7	231	52
8	283	52
9	312	52
10	328	52
0	328	52

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 y.re x.re))
(*.f64 y.re x.re)
y.re
x.re
#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 y.im) x.im))
(*.f64 (neg.f64 y.im) x.im)
(neg.f64 y.im)
y.im
x.im
(fma.f64 (neg.f64 y.im) x.im (*.f64 y.re x.re))
(neg.f64 y.im)
y.im
x.im
(*.f64 y.re x.re)
y.re
x.re

Outputs
#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 y.re x.re))
(*.f64 y.re x.re)
y.re
x.re
#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 y.im) x.im))
(*.f64 (neg.f64 y.im) x.im)
(neg.f64 y.im)
y.im
x.im
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(neg.f64 y.im)
y.im
x.im
(*.f64 y.re x.re)
y.re
x.re

localize53.0ms (1.8%)

Memory

0.5MiB live, 51.8MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 (neg.f64 y.im) x.im (*.f64 y.re x.re))
accuracy	0	(*.f64 y.re x.re)
accuracy	0	(neg.f64 y.im)
accuracy	0	(*.f64 (neg.f64 y.im) x.im)
accuracy	0	(neg.f64 y.im)
accuracy	31.68101514277393	#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 y.im) x.im))
accuracy	0	(*.f64 y.re x.re)
accuracy	29.62579049662026	#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 y.re x.re))

Samples

45.0ms

256×

valid

Compiler

Compiled 98 to 26 computations (73.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 8.0ms (70.3% of total)

ival-sub: 1.0ms (8.8% of total)

ival-add: 1.0ms (8.8% of total)

ival-neg: 1.0ms (8.8% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series12.0ms (0.4%)

Memory

16.1MiB live, 16.1MiB allocated

Counts

6 → 204

Calls

Call 1

Inputs
#s(alt #<batchref> (patch #s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 y.re x.re)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 y.re x.re) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 y.im) x.im)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (neg.f64 y.im) x.im) #<representation binary64>) () ())
#s(alt #<batchref> (patch (neg.f64 y.im) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (neg.f64 y.im) x.im (*.f64 y.re x.re)) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 y.im) (#s(alt #<batchref> (patch #s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 y.re x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y.im) (#s(alt #<batchref> (patch #s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 y.re x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y.im) (#s(alt #<batchref> (patch #s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 y.re x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y.im) (#s(alt #<batchref> (patch #s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 y.re x.re)) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor inf x.im) (#s(alt #<batchref> (patch #s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 y.re x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x.im) (#s(alt #<batchref> (patch #s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 y.re x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x.im) (#s(alt #<batchref> (patch #s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 y.re x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x.im) (#s(alt #<batchref> (patch #s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 y.im) x.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x.im) (#s(alt #<batchref> (patch #s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 y.im) x.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x.im) (#s(alt #<batchref> (patch #s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 y.im) x.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x.im) (#s(alt #<batchref> (patch #s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 y.im) x.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x.im) (#s(alt #<batchref> (patch (*.f64 (neg.f64 y.im) x.im) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x.im) (#s(alt #<batchref> (patch (*.f64 (neg.f64 y.im) x.im) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x.im) (#s(alt #<batchref> (patch (*.f64 (neg.f64 y.im) x.im) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x.im) (#s(alt #<batchref> (patch (*.f64 (neg.f64 y.im) x.im) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x.im) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 y.im) x.im (*.f64 y.re x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x.im) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 y.im) x.im (*.f64 y.re x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x.im) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 y.im) x.im (*.f64 y.re x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x.im) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 y.im) x.im (*.f64 y.re x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.im) (#s(alt #<batchref> (patch #s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 y.re x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.im) (#s(alt #<batchref> (patch #s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 y.re x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.im) (#s(alt #<batchref> (patch #s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 y.re x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.im) (#s(alt #<batchref> (patch #s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 y.re x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.im) (#s(alt #<batchref> (patch #s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 y.im) x.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.im) (#s(alt #<batchref> (patch #s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 y.im) x.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.im) (#s(alt #<batchref> (patch #s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 y.im) x.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.im) (#s(alt #<batchref> (patch #s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 y.im) x.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.im) (#s(alt #<batchref> (patch (*.f64 (neg.f64 y.im) x.im) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.im) (#s(alt #<batchref> (patch (*.f64 (neg.f64 y.im) x.im) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.im) (#s(alt #<batchref> (patch (*.f64 (neg.f64 y.im) x.im) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.im) (#s(alt #<batchref> (patch (*.f64 (neg.f64 y.im) x.im) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.im) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 y.im) x.im (*.f64 y.re x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.im) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 y.im) x.im (*.f64 y.re x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.im) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 y.im) x.im (*.f64 y.re x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.im) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 y.im) x.im (*.f64 y.re x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.re) (#s(alt #<batchref> (patch #s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 y.re x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.re) (#s(alt #<batchref> (patch #s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 y.re x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.re) (#s(alt #<batchref> (patch #s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 y.re x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.re) (#s(alt #<batchref> (patch #s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 y.re x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.re) (#s(alt #<batchref> (patch (*.f64 y.re x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.re) (#s(alt #<batchref> (patch (*.f64 y.re x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.re) (#s(alt #<batchref> (patch (*.f64 y.re x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.re) (#s(alt #<batchref> (patch (*.f64 y.re x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.re) (#s(alt #<batchref> (patch #s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 y.im) x.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.re) (#s(alt #<batchref> (patch #s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 y.im) x.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.re) (#s(alt #<batchref> (patch #s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 y.im) x.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.re) (#s(alt #<batchref> (patch #s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 y.im) x.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.re) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 y.im) x.im (*.f64 y.re x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.re) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 y.im) x.im (*.f64 y.re x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.re) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 y.im) x.im (*.f64 y.re x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.re) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 y.im) x.im (*.f64 y.re x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x.re) (#s(alt #<batchref> (patch #s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 y.re x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x.re) (#s(alt #<batchref> (patch #s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 y.re x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x.re) (#s(alt #<batchref> (patch #s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 y.re x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x.re) (#s(alt #<batchref> (patch #s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 y.re x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x.re) (#s(alt #<batchref> (patch (*.f64 y.re x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x.re) (#s(alt #<batchref> (patch (*.f64 y.re x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x.re) (#s(alt #<batchref> (patch (*.f64 y.re x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x.re) (#s(alt #<batchref> (patch (*.f64 y.re x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x.re) (#s(alt #<batchref> (patch #s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 y.im) x.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x.re) (#s(alt #<batchref> (patch #s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 y.im) x.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x.re) (#s(alt #<batchref> (patch #s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 y.im) x.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x.re) (#s(alt #<batchref> (patch #s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 y.im) x.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x.re) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 y.im) x.im (*.f64 y.re x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x.re) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 y.im) x.im (*.f64 y.re x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x.re) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 y.im) x.im (*.f64 y.re x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x.re) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 y.im) x.im (*.f64 y.re x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch #s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 y.re x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch #s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 y.re x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch #s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 y.re x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch #s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 y.re x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (*.f64 y.re x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (*.f64 y.re x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (*.f64 y.re x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (*.f64 y.re x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch #s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 y.im) x.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch #s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 y.im) x.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch #s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 y.im) x.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch #s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 y.im) x.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 y.im) x.im (*.f64 y.re x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 y.im) x.im (*.f64 y.re x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 y.im) x.im (*.f64 y.re x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 y.im) x.im (*.f64 y.re x.re)) #<representation binary64>) () ())) ())

Calls

12 calls:

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

simplify171.0ms (5.6%)

Memory

8.4MiB live, 82.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	1074
1	185	1074
2	495	1074
3	1588	1074
4	3651	1074
5	5408	1074
6	5978	1074
7	6022	1074
8	6040	1074
9	6044	1074
10	7087	1074
0	8883	1074

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

Inputs
(* x.re y.re)
(+ (* -1 (* x.im y.im)) (* x.re y.re))
(+ (* -1 (* x.im y.im)) (* x.re y.re))
(+ (* -1 (* x.im y.im)) (* x.re y.re))
(* x.re y.re)
(+ (* -1 (* x.im y.im)) (* x.re y.re))
(+ (* -1 (* x.im y.im)) (* x.re y.re))
(+ (* -1 (* x.im y.im)) (* x.re y.re))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 y.im)
(* -1 y.im)
(* -1 y.im)
(* -1 y.im)
(* x.re y.re)
(+ (* -1 (* x.im y.im)) (* x.re y.re))
(+ (* -1 (* x.im y.im)) (* x.re y.re))
(+ (* -1 (* x.im y.im)) (* x.re y.re))
(* -1 (* x.im y.im))
(* y.im (- (/ (* x.re y.re) y.im) x.im))
(* y.im (- (/ (* x.re y.re) y.im) x.im))
(* y.im (- (/ (* x.re y.re) y.im) x.im))
(* -1 (* x.im y.im))
(* y.im (- (/ (* x.re y.re) y.im) x.im))
(* y.im (- (/ (* x.re y.re) y.im) x.im))
(* y.im (- (/ (* x.re y.re) y.im) x.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 y.im)
(* -1 y.im)
(* -1 y.im)
(* -1 y.im)
(* -1 (* x.im y.im))
(* y.im (+ (* -1 x.im) (/ (* x.re y.re) y.im)))
(* y.im (+ (* -1 x.im) (/ (* x.re y.re) y.im)))
(* y.im (+ (* -1 x.im) (/ (* x.re y.re) y.im)))
(* -1 (* x.im y.im))
(* -1 (* y.im (- (* -1 (/ (* x.re y.re) y.im)) (* -1 x.im))))
(* -1 (* y.im (- (* -1 (/ (* x.re y.re) y.im)) (* -1 x.im))))
(* -1 (* y.im (- (* -1 (/ (* x.re y.re) y.im)) (* -1 x.im))))
(* -1 (* x.im y.im))
(* -1 (* y.im (- (* -1 (/ (* x.re y.re) y.im)) (* -1 x.im))))
(* -1 (* y.im (- (* -1 (/ (* x.re y.re) y.im)) (* -1 x.im))))
(* -1 (* y.im (- (* -1 (/ (* x.re y.re) y.im)) (* -1 x.im))))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 y.im)
(* -1 y.im)
(* -1 y.im)
(* -1 y.im)
(* -1 (* x.im y.im))
(* -1 (* y.im (+ x.im (* -1 (/ (* x.re y.re) y.im)))))
(* -1 (* y.im (+ x.im (* -1 (/ (* x.re y.re) y.im)))))
(* -1 (* y.im (+ x.im (* -1 (/ (* x.re y.re) y.im)))))
(* -1 (* x.im y.im))
(- (* x.re y.re) (* x.im y.im))
(- (* x.re y.re) (* x.im y.im))
(- (* x.re y.re) (* x.im y.im))
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* -1 (* x.im y.im))
(- (* x.re y.re) (* x.im y.im))
(- (* x.re y.re) (* x.im y.im))
(- (* x.re y.re) (* x.im y.im))
(* -1 (* x.im y.im))
(+ (* -1 (* x.im y.im)) (* x.re y.re))
(+ (* -1 (* x.im y.im)) (* x.re y.re))
(+ (* -1 (* x.im y.im)) (* x.re y.re))
(* x.re y.re)
(* y.re (+ x.re (* -1 (/ (* x.im y.im) y.re))))
(* y.re (+ x.re (* -1 (/ (* x.im y.im) y.re))))
(* y.re (+ x.re (* -1 (/ (* x.im y.im) y.re))))
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* y.re (+ x.re (* -1 (/ (* x.im y.im) y.re))))
(* y.re (+ x.re (* -1 (/ (* x.im y.im) y.re))))
(* y.re (+ x.re (* -1 (/ (* x.im y.im) y.re))))
(* x.re y.re)
(* y.re (+ x.re (* -1 (/ (* x.im y.im) y.re))))
(* y.re (+ x.re (* -1 (/ (* x.im y.im) y.re))))
(* y.re (+ x.re (* -1 (/ (* x.im y.im) y.re))))
(* x.re y.re)
(* -1 (* y.re (+ (* -1 x.re) (/ (* x.im y.im) y.re))))
(* -1 (* y.re (+ (* -1 x.re) (/ (* x.im y.im) y.re))))
(* -1 (* y.re (+ (* -1 x.re) (/ (* x.im y.im) y.re))))
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* -1 (* y.re (+ (* -1 x.re) (/ (* x.im y.im) y.re))))
(* -1 (* y.re (+ (* -1 x.re) (/ (* x.im y.im) y.re))))
(* -1 (* y.re (+ (* -1 x.re) (/ (* x.im y.im) y.re))))
(* x.re y.re)
(* -1 (* y.re (+ (* -1 x.re) (/ (* x.im y.im) y.re))))
(* -1 (* y.re (+ (* -1 x.re) (/ (* x.im y.im) y.re))))
(* -1 (* y.re (+ (* -1 x.re) (/ (* x.im y.im) y.re))))
(* x.re y.re)
(+ (* -1 (* x.im y.im)) (* x.re y.re))
(+ (* -1 (* x.im y.im)) (* x.re y.re))
(+ (* -1 (* x.im y.im)) (* x.re y.re))
(* x.re y.re)
(+ (* -1 (* x.im y.im)) (* x.re y.re))
(+ (* -1 (* x.im y.im)) (* x.re y.re))
(+ (* -1 (* x.im y.im)) (* x.re y.re))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* x.re y.re)
(+ (* -1 (* x.im y.im)) (* x.re y.re))
(+ (* -1 (* x.im y.im)) (* x.re y.re))
(+ (* -1 (* x.im y.im)) (* x.re y.re))
(* -1 (* x.im y.im))
(* x.im (- (/ (* x.re y.re) x.im) y.im))
(* x.im (- (/ (* x.re y.re) x.im) y.im))
(* x.im (- (/ (* x.re y.re) x.im) y.im))
(* -1 (* x.im y.im))
(* x.im (- (/ (* x.re y.re) x.im) y.im))
(* x.im (- (/ (* x.re y.re) x.im) y.im))
(* x.im (- (/ (* x.re y.re) x.im) y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* x.im (+ (* -1 y.im) (/ (* x.re y.re) x.im)))
(* x.im (+ (* -1 y.im) (/ (* x.re y.re) x.im)))
(* x.im (+ (* -1 y.im) (/ (* x.re y.re) x.im)))
(* -1 (* x.im y.im))
(* -1 (* x.im (- (* -1 (/ (* x.re y.re) x.im)) (* -1 y.im))))
(* -1 (* x.im (- (* -1 (/ (* x.re y.re) x.im)) (* -1 y.im))))
(* -1 (* x.im (- (* -1 (/ (* x.re y.re) x.im)) (* -1 y.im))))
(* -1 (* x.im y.im))
(* -1 (* x.im (- (* -1 (/ (* x.re y.re) x.im)) (* -1 y.im))))
(* -1 (* x.im (- (* -1 (/ (* x.re y.re) x.im)) (* -1 y.im))))
(* -1 (* x.im (- (* -1 (/ (* x.re y.re) x.im)) (* -1 y.im))))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im (+ y.im (* -1 (/ (* x.re y.re) x.im)))))
(* -1 (* x.im (+ y.im (* -1 (/ (* x.re y.re) x.im)))))
(* -1 (* x.im (+ y.im (* -1 (/ (* x.re y.re) x.im)))))
(* -1 (* x.im y.im))
(- (* x.re y.re) (* x.im y.im))
(- (* x.re y.re) (* x.im y.im))
(- (* x.re y.re) (* x.im y.im))
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* -1 (* x.im y.im))
(- (* x.re y.re) (* x.im y.im))
(- (* x.re y.re) (* x.im y.im))
(- (* x.re y.re) (* x.im y.im))
(* -1 (* x.im y.im))
(+ (* -1 (* x.im y.im)) (* x.re y.re))
(+ (* -1 (* x.im y.im)) (* x.re y.re))
(+ (* -1 (* x.im y.im)) (* x.re y.re))
(* x.re y.re)
(* x.re (+ y.re (* -1 (/ (* x.im y.im) x.re))))
(* x.re (+ y.re (* -1 (/ (* x.im y.im) x.re))))
(* x.re (+ y.re (* -1 (/ (* x.im y.im) x.re))))
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re (+ y.re (* -1 (/ (* x.im y.im) x.re))))
(* x.re (+ y.re (* -1 (/ (* x.im y.im) x.re))))
(* x.re (+ y.re (* -1 (/ (* x.im y.im) x.re))))
(* x.re y.re)
(* x.re (+ y.re (* -1 (/ (* x.im y.im) x.re))))
(* x.re (+ y.re (* -1 (/ (* x.im y.im) x.re))))
(* x.re (+ y.re (* -1 (/ (* x.im y.im) x.re))))
(* x.re y.re)
(* -1 (* x.re (+ (* -1 y.re) (/ (* x.im y.im) x.re))))
(* -1 (* x.re (+ (* -1 y.re) (/ (* x.im y.im) x.re))))
(* -1 (* x.re (+ (* -1 y.re) (/ (* x.im y.im) x.re))))
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* -1 (* x.re (+ (* -1 y.re) (/ (* x.im y.im) x.re))))
(* -1 (* x.re (+ (* -1 y.re) (/ (* x.im y.im) x.re))))
(* -1 (* x.re (+ (* -1 y.re) (/ (* x.im y.im) x.re))))
(* x.re y.re)
(* -1 (* x.re (+ (* -1 y.re) (/ (* x.im y.im) x.re))))
(* -1 (* x.re (+ (* -1 y.re) (/ (* x.im y.im) x.re))))
(* -1 (* x.re (+ (* -1 y.re) (/ (* x.im y.im) x.re))))

Outputs
(*.f64 y.re x.re)
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(*.f64 y.re x.re)
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(*.f64 (neg.f64 x.im) y.im)
(*.f64 (neg.f64 x.im) y.im)
(*.f64 (neg.f64 x.im) y.im)
(*.f64 (neg.f64 x.im) y.im)
(neg.f64 y.im)
(neg.f64 y.im)
(neg.f64 y.im)
(neg.f64 y.im)
(*.f64 y.re x.re)
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(*.f64 (neg.f64 x.im) y.im)
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(*.f64 (neg.f64 x.im) y.im)
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(*.f64 (neg.f64 x.im) y.im)
(*.f64 (neg.f64 x.im) y.im)
(*.f64 (neg.f64 x.im) y.im)
(*.f64 (neg.f64 x.im) y.im)
(neg.f64 y.im)
(neg.f64 y.im)
(neg.f64 y.im)
(neg.f64 y.im)
(*.f64 (neg.f64 x.im) y.im)
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(*.f64 (neg.f64 x.im) y.im)
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(*.f64 (neg.f64 x.im) y.im)
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(*.f64 (neg.f64 x.im) y.im)
(*.f64 (neg.f64 x.im) y.im)
(*.f64 (neg.f64 x.im) y.im)
(*.f64 (neg.f64 x.im) y.im)
(neg.f64 y.im)
(neg.f64 y.im)
(neg.f64 y.im)
(neg.f64 y.im)
(*.f64 (neg.f64 x.im) y.im)
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(*.f64 (neg.f64 x.im) y.im)
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(*.f64 y.re x.re)
(*.f64 y.re x.re)
(*.f64 y.re x.re)
(*.f64 y.re x.re)
(*.f64 (neg.f64 x.im) y.im)
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(*.f64 (neg.f64 x.im) y.im)
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(*.f64 y.re x.re)
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(*.f64 y.re x.re)
(*.f64 y.re x.re)
(*.f64 y.re x.re)
(*.f64 y.re x.re)
(*.f64 y.re x.re)
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(*.f64 y.re x.re)
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(*.f64 y.re x.re)
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(*.f64 y.re x.re)
(*.f64 y.re x.re)
(*.f64 y.re x.re)
(*.f64 y.re x.re)
(*.f64 y.re x.re)
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(*.f64 y.re x.re)
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(*.f64 y.re x.re)
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(*.f64 y.re x.re)
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(*.f64 (neg.f64 x.im) y.im)
(*.f64 (neg.f64 x.im) y.im)
(*.f64 (neg.f64 x.im) y.im)
(*.f64 (neg.f64 x.im) y.im)
(*.f64 y.re x.re)
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(*.f64 (neg.f64 x.im) y.im)
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(*.f64 (neg.f64 x.im) y.im)
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(*.f64 (neg.f64 x.im) y.im)
(*.f64 (neg.f64 x.im) y.im)
(*.f64 (neg.f64 x.im) y.im)
(*.f64 (neg.f64 x.im) y.im)
(*.f64 (neg.f64 x.im) y.im)
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(*.f64 (neg.f64 x.im) y.im)
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(*.f64 (neg.f64 x.im) y.im)
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(*.f64 (neg.f64 x.im) y.im)
(*.f64 (neg.f64 x.im) y.im)
(*.f64 (neg.f64 x.im) y.im)
(*.f64 (neg.f64 x.im) y.im)
(*.f64 (neg.f64 x.im) y.im)
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(*.f64 (neg.f64 x.im) y.im)
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(*.f64 y.re x.re)
(*.f64 y.re x.re)
(*.f64 y.re x.re)
(*.f64 y.re x.re)
(*.f64 (neg.f64 x.im) y.im)
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(*.f64 (neg.f64 x.im) y.im)
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(*.f64 y.re x.re)
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(*.f64 y.re x.re)
(*.f64 y.re x.re)
(*.f64 y.re x.re)
(*.f64 y.re x.re)
(*.f64 y.re x.re)
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(*.f64 y.re x.re)
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(*.f64 y.re x.re)
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(*.f64 y.re x.re)
(*.f64 y.re x.re)
(*.f64 y.re x.re)
(*.f64 y.re x.re)
(*.f64 y.re x.re)
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(*.f64 y.re x.re)
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))

rewrite264.0ms (8.7%)

Memory

4.8MiB live, 152.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	39
0	17	39
1	63	39
2	377	39
3	4030	39
0	8123	39

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

6 → 203

Calls

Call 1

Inputs
#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 y.re x.re))
(*.f64 y.re x.re)
#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 y.im) x.im))
(*.f64 (neg.f64 y.im) x.im)
(neg.f64 y.im)
(fma.f64 (neg.f64 y.im) x.im (*.f64 y.re x.re))

Outputs
#<batchref>
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eval106.0ms (3.5%)

Memory: -3.3MiB live, 85.4MiB allocated
Compiler: Compiled 9 373 to 630 computations (93.3% saved)

prune72.0ms (2.4%)

Memory

-12.9MiB live, 58.3MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	476	0	476
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	476	3	479

Accuracy

100.0%

Counts

479 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (neg.f64 y.im) x.im (*.f64 y.re x.re))
✓	50.5%	#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 y.im) x.im))
✓	53.7%	#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 y.re x.re))

Compiler

Compiled 67 to 42 computations (37.3% saved)

regimes49.0ms (1.6%)

Memory

7.0MiB live, 45.0MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 y.re x.re))
#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 y.im) x.im))
(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))
(fma.f64 (neg.f64 y.im) x.im (*.f64 y.re x.re))

Outputs
(fma.f64 (neg.f64 y.im) x.im (*.f64 y.re x.re))

Calls

7 calls:

36.0ms	y.re
2.0ms	y.im
2.0ms	x.re
2.0ms	x.im
2.0ms	(*.f64 x.im y.im)

Results

Accuracy	Segments	Branch
100.0%	1	`x.re`
100.0%	1	`x.im`
100.0%	1	`y.re`
100.0%	1	`y.im`
100.0%	1	`(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))`
100.0%	1	`(*.f64 x.re y.re)`
100.0%	1	`(*.f64 x.im y.im)`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

regimes76.0ms (2.5%)

Memory

-7.9MiB live, 49.2MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs
#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 y.re x.re))
#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 y.im) x.im))
(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))

Outputs
(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))

Calls

7 calls:

64.0ms	x.im
2.0ms	y.re
2.0ms	x.re
2.0ms	y.im
2.0ms	(*.f64 x.re y.re)

Results

Accuracy	Segments	Branch
98.8%	1	`x.re`
98.8%	1	`x.im`
98.8%	1	`y.re`
98.8%	1	`y.im`
98.8%	1	`(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))`
98.8%	1	`(*.f64 x.re y.re)`
98.8%	1	`(*.f64 x.im y.im)`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

regimes42.0ms (1.4%)

Memory

-12.7MiB live, 27.2MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs
#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 y.re x.re))
#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 y.im) x.im))

Outputs
#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 y.im) x.im))
#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 y.re x.re))
#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 y.im) x.im))

Calls

7 calls:

32.0ms	y.re
2.0ms	x.re
2.0ms	x.im
2.0ms	y.im
2.0ms	(*.f64 x.re y.re)

Results

Accuracy	Segments	Branch
72.2%	3	`x.re`
74.7%	3	`x.im`
71.5%	3	`y.re`
73.7%	3	`y.im`
60.4%	4	`(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))`
79.1%	3	`(*.f64 x.re y.re)`
80.0%	3	`(*.f64 x.im y.im)`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

regimes10.0ms (0.3%)

Memory

25.9MiB live, 25.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 y.re x.re))

Outputs
#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 y.re x.re))

Calls

7 calls:

1.0ms	y.re
1.0ms	x.im
1.0ms	(*.f64 x.re y.re)
1.0ms	y.im
1.0ms	x.re

Results

Accuracy	Segments	Branch
53.7%	1	`(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))`
53.7%	1	`y.re`
53.7%	1	`x.re`
53.7%	1	`y.im`
53.7%	1	`x.im`
53.7%	1	`(*.f64 x.re y.re)`
53.7%	1	`(*.f64 x.im y.im)`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.1792314634787373e+129	1.7290460568081324e+130
0.0ms	-4.760660430955924e-67	-2.2023235873057373e-69

Compiler

Compiled 10 to 14 computations (-40% saved)

simplify54.0ms (1.8%)

Memory

-23.7MiB live, 53.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	72
1	37	72
2	45	72
3	50	72
4	52	72

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (neg.f64 y.im) x.im (*.f64 y.re x.re))
(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))
(if (<=.f64 (.f64 x.im y.im) #s(literal -6070840288205403/15177100720513508366558296147058741458143803430094840009779784451085189728165691392 binary64)) #s(approx (- ( x.re y.re) (* x.im y.im)) (.f64 (neg.f64 y.im) x.im)) (if (<=.f64 (.f64 x.im y.im) #s(literal 3999999999999999992869774256740965663955715475037650001746173358919761607623618597988463064569074240039108703867006661504928841728 binary64)) #s(approx (- (* x.re y.re) (* x.im y.im)) (.f64 y.re x.re)) #s(approx (- ( x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 y.im) x.im))))
#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 y.re x.re))

Outputs
(fma.f64 (neg.f64 y.im) x.im (*.f64 x.re y.re))
(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))
(if (<=.f64 (.f64 x.im y.im) #s(literal -6070840288205403/15177100720513508366558296147058741458143803430094840009779784451085189728165691392 binary64)) #s(approx (- ( x.re y.re) (* x.im y.im)) (.f64 x.im (neg.f64 y.im))) (if (<=.f64 (.f64 x.im y.im) #s(literal 3999999999999999992869774256740965663955715475037650001746173358919761607623618597988463064569074240039108703867006661504928841728 binary64)) #s(approx (- (* x.re y.re) (* x.im y.im)) (.f64 x.re y.re)) #s(approx (- ( x.re y.re) (* x.im y.im)) (*.f64 x.im (neg.f64 y.im)))))
#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 x.re y.re))

soundness565.0ms (18.6%)

Memory

2.6MiB live, 85.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
0	10	13
1	30	13
2	207	13
3	1953	13
0	8325	13
0	42	438
1	141	438
2	387	438
3	1314	438
4	3797	438
5	6123	438
6	7987	438
0	8007	438

Stop Event

1×	done
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 103 to 48 computations (53.4% saved)

preprocess121.0ms (4%)

Memory

-15.1MiB live, 63.4MiB allocated

Remove

(sort x.im y.im)

(sort x.re y.re)

Compiler

Compiled 270 to 168 computations (37.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	36	102
1	103	102
2	183	102
3	383	102
4	613	102
5	695	102
6	707	102
0	7	7
0	10	7
1	17	7
2	29	7
3	41	7
4	62	7
5	92	7
6	150	7
7	217	7
8	277	7
9	306	7
10	322	7
0	322	7

Iter	Nodes	Cost
0	7	17
0	10	17
1	17	17
2	29	17
3	41	17
4	62	17
5	92	17
6	150	17
7	217	17
8	277	17
9	306	17
10	322	17
0	322	17

Iter	Nodes	Cost
0	13	52
0	17	52
1	33	52
2	42	52
3	55	52
4	78	52
5	106	52
6	166	52
7	231	52
8	283	52
9	312	52
10	328	52
0	328	52

Iter	Nodes	Cost
0	36	102
1	103	102
2	183	102
3	383	102
4	613	102
5	695	102
6	707	102
0	7	7
0	10	7
1	17	7
2	29	7
3	41	7
4	62	7
5	92	7
6	150	7
7	217	7
8	277	7
9	306	7
10	322	7
0	322	7

Iter	Nodes	Cost
0	7	17
0	10	17
1	17	17
2	29	17
3	41	17
4	62	17
5	92	17
6	150	17
7	217	17
8	277	17
9	306	17
10	322	17
0	322	17

Iter	Nodes	Cost
0	13	52
0	17	52
1	33	52
2	42	52
3	55	52
4	78	52
5	106	52
6	166	52
7	231	52
8	283	52
9	312	52
10	328	52
0	328	52

start0.0ms (0%)

analyze0.0ms (0%)

sample772.0ms (25.5%)

explain75.0ms (2.5%)

preprocess35.0ms (1.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify12.0ms (0.4%)

localize18.0ms (0.6%)

series13.0ms (0.4%)

simplify126.0ms (4.2%)

rewrite271.0ms (8.9%)

eval88.0ms (2.9%)

prune6.0ms (0.2%)

simplify21.0ms (0.7%)

localize53.0ms (1.8%)

series12.0ms (0.4%)

simplify171.0ms (5.6%)

rewrite264.0ms (8.7%)

eval106.0ms (3.5%)

prune72.0ms (2.4%)

regimes49.0ms (1.6%)

regimes76.0ms (2.5%)

regimes42.0ms (1.4%)

regimes10.0ms (0.3%)

bsearch1.0ms (0%)

simplify54.0ms (1.8%)

soundness565.0ms (18.6%)

preprocess121.0ms (4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	36	102
1	103	102
2	183	102
3	383	102
4	613	102
5	695	102
6	707	102
0	7	7
0	10	7
1	17	7
2	29	7
3	41	7
4	62	7
5	92	7
6	150	7
7	217	7
8	277	7
9	306	7
10	322	7
0	322	7

Iter	Nodes	Cost
0	7	17
0	10	17
1	17	17
2	29	17
3	41	17
4	62	17
5	92	17
6	150	17
7	217	17
8	277	17
9	306	17
10	322	17
0	322	17

Iter	Nodes	Cost
0	13	52
0	17	52
1	33	52
2	42	52
3	55	52
4	78	52
5	106	52
6	166	52
7	231	52
8	283	52
9	312	52
10	328	52
0	328	52