Metrics for _multiplyComplex, imaginary part

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.2MiB live, 0.2MiB 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)

sample781.0ms (25.7%)

Memory

8.4MiB live, 991.9MiB allocated

Samples

517.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 246.0ms

ival-mult: 192.0ms (78% of total)

ival-add: 45.0ms (18.3% of total)

ival-true: 7.0ms (2.8% of total)

ival-assert: 4.0ms (1.6% of total)

Bogosity

explain68.0ms (2.2%)

Memory

18.9MiB live, 142.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
3	-	-	`(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))`
0	-	-	`(*.f64 x.im y.re)`
0	-	-	`x.re`
0	-	-	`y.re`
0	-	-	`(*.f64 x.re 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.im) (.f64 x.im y.re))`	nan-rescue	3	0
↳	`(*.f64 x.re y.im)`	overflow	43
↳	`(*.f64 x.im y.re)`	overflow	32

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 (69.2% of total)

ival-add: 2.0ms (19.8% of total)

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

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

preprocess41.0ms (1.3%)

Memory

-17.9MiB live, 57.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	106
1	74	98
2	129	98
3	295	98
4	442	98
5	574	98
6	625	98
7	639	98
0	7	7
0	10	7
1	13	7
0	13	6

Stop Event

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

Calls

Call 1

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

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

Symmetry

(sort x.re y.im)

(sort x.im y.re)

Compiler

Compiled 7 to 7 computations (0% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 7 computations (0% saved)

simplify2.0ms (0.1%)

Memory

2.8MiB live, 2.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x.im y.re)
cost-diff	0	(*.f64 x.re y.im)
cost-diff	128	(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
0	10	17
1	13	17
0	13	16

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize21.0ms (0.7%)

Memory

-14.8MiB live, 32.5MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x.re y.im)
accuracy	0	(*.f64 x.im y.re)
accuracy	0.7148396216604117	(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))

Samples

16.0ms

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 (80.1% of total)

ival-add: 1.0ms (20% of total)

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

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

series9.0ms (0.3%)

Memory

16.7MiB live, 16.7MiB allocated

Counts

3 → 96

Calls

Call 1

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

Inputs

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

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

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

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

Calls

12 calls:

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

simplify112.0ms (3.7%)

Memory

-4.6MiB live, 70.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	432
1	149	432
2	468	432
3	1238	432
4	3338	432
5	5650	432
6	7139	432
0	8052	396

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

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

rewrite224.0ms (7.3%)

Memory

34.9MiB live, 221.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
0	10	13
1	26	13
2	182	13
3	1813	13
0	8222	12

Stop Event

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

Counts

3 → 175

Calls

Call 1

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

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

eval131.0ms (4.3%)

Memory: -38.5MiB live, 71.0MiB allocated
Compiler: Compiled 7 243 to 493 computations (93.2% saved)

prune8.0ms (0.3%)

Memory

-19.3MiB live, 18.0MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	267	4	271
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	268	4	272

Accuracy

100.0%

Counts

272 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(fma.f64 y.re x.im (*.f64 y.im x.re))
▶	99.2%	(fma.f64 y.im x.re (*.f64 y.re x.im))
▶	51.0%	#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.re x.im))
▶	54.2%	#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.im x.re))

Compiler

Compiled 34 to 30 computations (11.8% saved)

simplify3.0ms (0.1%)

Memory

6.9MiB live, 6.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	58
0	17	56
1	18	56
0	18	56

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize44.0ms (1.4%)

Memory

23.1MiB live, 60.0MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y.im x.re)
accuracy	0.2578097476055602	(fma.f64 y.re x.im (*.f64 y.im x.re))
accuracy	0	(*.f64 y.re x.im)
accuracy	0.5078069952111204	(fma.f64 y.im x.re (*.f64 y.re x.im))
accuracy	0	(*.f64 y.re x.im)
accuracy	31.335181077146487	#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.re x.im))
accuracy	0	(*.f64 y.im x.re)
accuracy	29.304534479383157	#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.im x.re))

Samples

36.0ms

256×

valid

Compiler

Compiled 112 to 26 computations (76.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-mult: 21.0ms (85% of total)

ival-add: 3.0ms (12.1% of total)

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

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

series35.0ms (1.1%)

Memory

-32.3MiB live, 19.0MiB allocated

Counts

6 → 240

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x.im	@	-inf	((+ (* x.re y.im) (* x.im y.re)) (* y.im x.re) (+ (* x.re y.im) (* x.im y.re)) (* y.re x.im) (+ (* y.im x.re) (* y.re x.im)) (+ (* y.re x.im) (* y.im x.re)))
0.0ms	x.re	@	-inf	((+ (* x.re y.im) (* x.im y.re)) (* y.im x.re) (+ (* x.re y.im) (* x.im y.re)) (* y.re x.im) (+ (* y.im x.re) (* y.re x.im)) (+ (* y.re x.im) (* y.im x.re)))
0.0ms	y.im	@	-inf	((+ (* x.re y.im) (* x.im y.re)) (* y.im x.re) (+ (* x.re y.im) (* x.im y.re)) (* y.re x.im) (+ (* y.im x.re) (* y.re x.im)) (+ (* y.re x.im) (* y.im x.re)))
0.0ms	y.re	@	-inf	((+ (* x.re y.im) (* x.im y.re)) (* y.im x.re) (+ (* x.re y.im) (* x.im y.re)) (* y.re x.im) (+ (* y.im x.re) (* y.re x.im)) (+ (* y.re x.im) (* y.im x.re)))
0.0ms	y.re	@	inf	((+ (* x.re y.im) (* x.im y.re)) (* y.im x.re) (+ (* x.re y.im) (* x.im y.re)) (* y.re x.im) (+ (* y.im x.re) (* y.re x.im)) (+ (* y.re x.im) (* y.im x.re)))

simplify173.0ms (5.7%)

Memory

16.3MiB live, 90.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	1296
1	149	1296
2	468	1296
3	1239	1296
4	3381	1296
5	5693	1296
6	7182	1296
0	8040	1152

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

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

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

rewrite270.0ms (8.9%)

Memory

2.6MiB live, 150.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	40
0	17	38
1	57	38
2	299	38
3	3188	38
0	8154	38

Stop Event

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

Counts

6 → 420

Calls

Call 1

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

Outputs
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eval158.0ms (5.2%)

Memory: 16.9MiB live, 139.7MiB allocated
Compiler: Compiled 19 738 to 701 computations (96.4% saved)

prune76.0ms (2.5%)

Memory

-12.5MiB live, 62.5MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	726	0	726
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	726	4	730

Accuracy

100.0%

Counts

730 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(fma.f64 y.re x.im (*.f64 y.im x.re))
✓	99.2%	(fma.f64 y.im x.re (*.f64 y.re x.im))
✓	51.0%	#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.re x.im))
✓	54.2%	#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.im x.re))

Compiler

Compiled 75 to 46 computations (38.7% saved)

regimes58.0ms (1.9%)

Memory

-24.7MiB live, 32.3MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

7 calls:

26.0ms	y.re
2.0ms	y.im
2.0ms	x.im
2.0ms	x.re
2.0ms	(*.f64 x.im y.re)

Results

Accuracy	Segments	Branch
99.6%	1	`x.re`
99.6%	1	`x.im`
99.6%	1	`y.re`
99.6%	1	`y.im`
99.6%	1	`(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))`
99.6%	1	`(*.f64 x.re y.im)`
99.6%	1	`(*.f64 x.im y.re)`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

regimes14.0ms (0.4%)

Memory

11.4MiB live, 11.4MiB allocated

Counts

3 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
99.2%	1	`x.re`
99.2%	1	`x.im`
99.2%	1	`y.re`
99.2%	1	`y.im`
99.2%	1	`(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))`
99.2%	1	`(*.f64 x.re y.im)`
99.2%	1	`(*.f64 x.im y.re)`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

regimes12.0ms (0.4%)

Memory

18.8MiB live, 18.8MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
71.6%	3	`x.re`
74.2%	3	`x.im`
70.7%	3	`y.re`
74.9%	3	`y.im`
58.0%	3	`(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))`
78.7%	3	`(*.f64 x.re y.im)`
79.0%	3	`(*.f64 x.im y.re)`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

regimes40.0ms (1.3%)

Memory

-13.2MiB live, 26.6MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

7 calls:

32.0ms	(*.f64 x.re y.im)
1.0ms	y.im
1.0ms	x.im
1.0ms	y.re
1.0ms	x.re

Results

Accuracy	Segments	Branch
54.2%	1	`(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))`
54.2%	1	`y.re`
54.2%	1	`x.re`
54.2%	1	`x.im`
54.2%	1	`y.im`
54.2%	1	`(*.f64 x.re y.im)`
54.2%	1	`(*.f64 x.im y.re)`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.1495274704189597e+107	3.391453196023072e+109
0.0ms	-7.144591376645289e+43	-3.3242038750492504e+42

Compiler

Compiled 10 to 14 computations (-40% saved)

simplify53.0ms (1.7%)

Memory

-19.8MiB live, 57.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	68
1	23	68

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 y.re x.im (*.f64 y.im x.re))
(fma.f64 y.im x.re (*.f64 y.re x.im))
(if (<=.f64 (.f64 x.im y.re) #s(literal -50000000000000004410680702653211320350932992 binary64)) #s(approx (+ ( x.re y.im) (* x.im y.re)) (.f64 y.re x.im)) (if (<=.f64 (.f64 x.im y.re) #s(literal 399999999999999987525536188119707933741485076245118757626576847011166100546682581581016009581583539221037056 binary64)) #s(approx (+ (* x.re y.im) (* x.im y.re)) (.f64 y.im x.re)) #s(approx (+ ( x.re y.im) (* x.im y.re)) (*.f64 y.re x.im))))
#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.im x.re))

Outputs
(fma.f64 y.re x.im (*.f64 x.re y.im))
(fma.f64 y.im x.re (*.f64 x.im y.re))
(if (<=.f64 (.f64 x.im y.re) #s(literal -50000000000000004410680702653211320350932992 binary64)) #s(approx (+ ( x.re y.im) (* x.im y.re)) (.f64 x.im y.re)) (if (<=.f64 (.f64 x.im y.re) #s(literal 399999999999999987525536188119707933741485076245118757626576847011166100546682581581016009581583539221037056 binary64)) #s(approx (+ (* x.re y.im) (* x.im y.re)) (.f64 x.re y.im)) #s(approx (+ ( x.re y.im) (* x.im y.re)) (*.f64 x.im y.re))))
#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 x.re y.im))

soundness625.0ms (20.5%)

Memory

0.5MiB live, 122.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
0	10	13
1	26	13
2	182	13
3	1813	13
0	8222	12
0	40	432
1	149	432
2	468	432
3	1238	432
4	3338	432
5	5650	432
6	7139	432
0	8052	396

Stop Event

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

Compiler

Compiled 115 to 54 computations (53% saved)

preprocess85.0ms (2.8%)

Memory

30.7MiB live, 69.6MiB allocated

Remove

(sort x.im y.re)

(sort x.re y.im)

Compiler

Compiled 246 to 148 computations (39.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	36	106
1	74	98
2	129	98
3	295	98
4	442	98
5	574	98
6	625	98
7	639	98
0	7	7
0	10	7
1	13	7
0	13	6

Iter	Nodes	Cost
0	36	106
1	74	98
2	129	98
3	295	98
4	442	98
5	574	98
6	625	98
7	639	98
0	7	7
0	10	7
1	13	7
0	13	6

start0.0ms (0%)

analyze0.0ms (0%)

sample781.0ms (25.7%)

explain68.0ms (2.2%)

preprocess41.0ms (1.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify2.0ms (0.1%)

localize21.0ms (0.7%)

series9.0ms (0.3%)

simplify112.0ms (3.7%)

rewrite224.0ms (7.3%)

eval131.0ms (4.3%)

prune8.0ms (0.3%)

simplify3.0ms (0.1%)

localize44.0ms (1.4%)

series35.0ms (1.1%)

simplify173.0ms (5.7%)

rewrite270.0ms (8.9%)

eval158.0ms (5.2%)

prune76.0ms (2.5%)

regimes58.0ms (1.9%)

regimes14.0ms (0.4%)

regimes12.0ms (0.4%)

regimes40.0ms (1.3%)

bsearch1.0ms (0%)

simplify53.0ms (1.7%)

soundness625.0ms (20.5%)

preprocess85.0ms (2.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	36	106
1	74	98
2	129	98
3	295	98
4	442	98
5	574	98
6	625	98
7	639	98
0	7	7
0	10	7
1	13	7
0	13	6