Metrics for _multiplyComplex, imaginary 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)

sample932.0ms (36.1%)

Memory

4.4MiB live, 910.8MiB allocated

Samples

619.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 292.0ms

ival-mult: 248.0ms (84.8% of total)

ival-add: 37.0ms (12.7% of total)

ival-true: 5.0ms (1.7% of total)

ival-assert: 3.0ms (1% of total)

Bogosity

explain122.0ms (4.7%)

Memory

1.0MiB live, 124.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
1	-	-	`(+.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	1	0
↳	`(*.f64 x.re y.im)`	overflow	27
↳	`(*.f64 x.im y.re)`	overflow	22

Confusion

	Predicted +	Predicted -
+	1	0
-	0	255

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	255

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

59.0ms

512×

valid

Compiler

Compiled 79 to 39 computations (50.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-mult: 21.0ms (87.3% of total)

ival-add: 2.0ms (8.3% of total)

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

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

preprocess43.0ms (1.7%)

Memory

-5.4MiB live, 32.7MiB 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
(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))
(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: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))

Compiler

Compiled 7 to 7 computations (0% saved)

simplify3.0ms (0.1%)

Memory

4.8MiB live, 4.8MiB 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
(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))
(fma.f64 y.re x.im (*.f64 y.im x.re))
(*.f64 x.re y.im)
(*.f64 y.im x.re)
x.re
y.im
(*.f64 x.im y.re)
(*.f64 y.re x.im)
x.im
y.re

localize56.0ms (2.2%)

Memory

1.6MiB live, 41.0MiB 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	0.2617166858302058	(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))

Samples

51.0ms

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 (74.6% of total)

ival-add: 2.0ms (37.3% of total)

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

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

series7.0ms (0.3%)

Memory

16.0MiB live, 16.0MiB allocated

Counts

3 → 11

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

Calls

12 calls:

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

simplify110.0ms (4.3%)

Memory

-0.7MiB live, 81.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	69
1	149	69
2	468	69
3	1237	69
4	3370	69
5	5683	69
6	7170	69
0	8028	60

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 11

Calls

Call 1

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

Outputs
(* x.im y.re)
(*.f64 y.re x.im)
(+ (* x.im y.re) (* x.re y.im))
(fma.f64 y.im x.re (*.f64 y.re x.im))
(* x.re y.im)
(*.f64 y.im x.re)
(* x.re (+ y.im (/ (* x.im y.re) x.re)))
(fma.f64 y.im x.re (*.f64 y.re x.im))
(* -1 (* x.re (+ (* -1 y.im) (* -1 (/ (* x.im y.re) x.re)))))
(fma.f64 y.im x.re (*.f64 y.re x.im))
(* x.im (+ y.re (/ (* x.re y.im) x.im)))
(fma.f64 y.im x.re (*.f64 y.re x.im))
(* -1 (* x.im (+ (* -1 y.re) (* -1 (/ (* x.re y.im) x.im)))))
(fma.f64 y.im x.re (*.f64 y.re x.im))
(* y.re (+ x.im (/ (* x.re y.im) y.re)))
(fma.f64 y.im x.re (*.f64 y.re x.im))
(* -1 (* y.re (+ (* -1 x.im) (* -1 (/ (* x.re y.im) y.re)))))
(fma.f64 y.im x.re (*.f64 y.re x.im))
(* y.im (+ x.re (/ (* x.im y.re) y.im)))
(fma.f64 y.im x.re (*.f64 y.re x.im))
(* -1 (* y.im (+ (* -1 x.re) (* -1 (/ (* x.im y.re) y.im)))))
(fma.f64 y.im x.re (*.f64 y.re x.im))

rewrite233.0ms (9%)

Memory

-25.2MiB live, 183.7MiB 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

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
(.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)) (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 4 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)) (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 6 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (.f64 y.im x.re) #s(literal 4 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 4 binary64))) (pow.f64 (.f64 (.f64 (*.f64 y.re x.im) x.re) y.im) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)) (.f64 y.re x.im) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 6 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 3 binary64)) (pow.f64 (*.f64 y.re x.im) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)) (.f64 y.re x.im) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64))) (+.f64 (pow.f64 (.f64 y.re x.im) #s(literal 9 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (.f64 y.im x.re) #s(literal 6 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 (.f64 y.re x.im) x.re) y.im) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 3 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 3 binary64)))) (fma.f64 (.f64 y.re x.im) (fma.f64 y.re x.im (.f64 y.im x.re)) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 y.re x.im) #s(literal 3 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)) (.f64 y.re x.im)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (.f64 (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)) (*.f64 y.re x.im))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 y.re x.im) #s(literal 3 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)) (.f64 y.re x.im)) #s(literal 3 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)) (.f64 y.re x.im)) (fma.f64 (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)) (.f64 y.re x.im) (neg.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)))) (pow.f64 (*.f64 y.im x.re) #s(literal 4 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 4 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 4 binary64))) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) (pow.f64 (+.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 6 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 6 binary64))) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) (pow.f64 (+.f64 (+.f64 (pow.f64 (.f64 y.im x.re) #s(literal 4 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 4 binary64))) (pow.f64 (.f64 (.f64 (*.f64 y.re x.im) x.re) y.im) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 6 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 6 binary64))) (fma.f64 (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)) (.f64 y.re x.im) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)))) (pow.f64 (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 3 binary64)) (pow.f64 (*.f64 y.re x.im) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 y.re x.im) #s(literal 9 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 9 binary64))) (fma.f64 (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)) (.f64 y.re x.im) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)))) (pow.f64 (-.f64 (+.f64 (pow.f64 (.f64 y.im x.re) #s(literal 6 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 (.f64 y.re x.im) x.re) y.im) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (*.f64 y.im x.re))))))
(.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))))))))
(.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 y.re x.im) (*.f64 y.im x.re)))))
(.f64 (-.f64 (.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) (.f64 (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)) (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)) #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (fma.f64 y.re x.im (.f64 y.im x.re)) #s(literal -1 binary64)))))
(.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 y.re x.im (.f64 y.im x.re))))
(.f64 (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 4 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64))) (fma.f64 (neg.f64 y.re) x.im (*.f64 y.im x.re)))))
(.f64 (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 4 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)) (+.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (pow.f64 (*.f64 y.im x.re) #s(literal 2 binary64))))))
(.f64 (-.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64))) (pow.f64 (-.f64 (.f64 y.re x.im) (*.f64 y.im x.re)) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 6 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (+.f64 (pow.f64 (.f64 y.im x.re) #s(literal 4 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 4 binary64))) (pow.f64 (.f64 (.f64 (.f64 y.re x.im) x.re) y.im) #s(literal 2 binary64))) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)))))
(.f64 (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 6 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 3 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 3 binary64))) (fma.f64 (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)) (.f64 y.re x.im) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64))))))
(.f64 (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 6 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)) (+.f64 (+.f64 (pow.f64 (.f64 y.im x.re) #s(literal 4 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 4 binary64))) (pow.f64 (.f64 (.f64 (.f64 y.re x.im) x.re) y.im) #s(literal 2 binary64))))))
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(/.f64 (+.f64 (pow.f64 (.f64 y.re x.im) #s(literal 3 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 3 binary64))) (fma.f64 (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)) (.f64 y.re x.im) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64))))
(neg.f64 (neg.f64 (fma.f64 y.re x.im (*.f64 y.im x.re))))
(fma.f64 (exp.f64 (log.f64 x.im)) (exp.f64 (log.f64 y.re)) (*.f64 y.im x.re))
(fma.f64 (exp.f64 (log.f64 x.re)) (exp.f64 (log.f64 y.im)) (*.f64 y.re x.im))
(fma.f64 (exp.f64 (log.f64 y.re)) (exp.f64 (log.f64 x.im)) (*.f64 y.im x.re))
(fma.f64 (exp.f64 (log.f64 y.im)) (exp.f64 (log.f64 x.re)) (*.f64 y.re x.im))
(fma.f64 (pow.f64 y.re #s(literal 1 binary64)) (pow.f64 x.im #s(literal 1 binary64)) (*.f64 y.im x.re))
(fma.f64 (pow.f64 x.im #s(literal 1 binary64)) (pow.f64 y.re #s(literal 1 binary64)) (*.f64 y.im x.re))
(fma.f64 (pow.f64 y.im #s(literal 1 binary64)) (pow.f64 x.re #s(literal 1 binary64)) (*.f64 y.re x.im))
(fma.f64 (pow.f64 x.re #s(literal 1 binary64)) (pow.f64 y.im #s(literal 1 binary64)) (*.f64 y.re x.im))
(fma.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 3 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 3 binary64)))) (fma.f64 (.f64 y.re x.im) (fma.f64 y.re x.im (.f64 y.im x.re)) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64))) (neg.f64 (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)))))
(fma.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)))) (fma.f64 y.re x.im (.f64 y.im x.re)) (neg.f64 (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)))))
(fma.f64 (neg.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64))) (pow.f64 (fma.f64 (neg.f64 y.im) x.re (.f64 y.re x.im)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)))))
(fma.f64 #s(literal -1 binary64) (.f64 (neg.f64 y.re) x.im) (.f64 y.im x.re))
(fma.f64 (.f64 (.f64 x.re x.re) y.im) (/.f64 y.im (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) (neg.f64 (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (*.f64 y.im x.re)))))
(fma.f64 (.f64 (.f64 y.im y.im) x.re) (/.f64 x.re (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) (neg.f64 (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (*.f64 y.im x.re)))))
(fma.f64 (.f64 y.im y.im) (/.f64 (.f64 x.re x.re) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) (neg.f64 (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (*.f64 y.im x.re)))))
(fma.f64 (.f64 x.re x.re) (/.f64 (.f64 y.im y.im) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) (neg.f64 (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (*.f64 y.im x.re)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) (neg.f64 (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)))))
(fma.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (pow.f64 (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)))))
(fma.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (pow.f64 (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)))))
(fma.f64 y.re x.im (*.f64 y.im x.re))
(fma.f64 x.im y.re (*.f64 y.im x.re))
(fma.f64 (.f64 y.im x.re) (/.f64 (.f64 y.im x.re) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) (neg.f64 (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (*.f64 y.im x.re)))))
(fma.f64 y.im (/.f64 (.f64 (.f64 x.re x.re) y.im) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) (neg.f64 (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (*.f64 y.im x.re)))))
(fma.f64 y.im x.re (*.f64 y.re x.im))
(fma.f64 x.re (/.f64 (.f64 (.f64 y.im y.im) x.re) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) (neg.f64 (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (*.f64 y.im x.re)))))
(fma.f64 x.re y.im (*.f64 y.re x.im))
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))))) (/.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))))))) (/.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))))))))
(-.f64 (/.f64 (.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) (pow.f64 (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)) #s(literal 2 binary64))) (/.f64 (.f64 (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)) (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64))) (pow.f64 (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 4 binary64)) (.f64 (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)) (+.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64))))) (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 4 binary64)) (.f64 (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)) (+.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64))))))
(-.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 6 binary64)) (.f64 (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)) (+.f64 (+.f64 (pow.f64 (.f64 y.im x.re) #s(literal 4 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 4 binary64))) (pow.f64 (.f64 (.f64 (.f64 y.re x.im) x.re) y.im) #s(literal 2 binary64))))) (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 6 binary64)) (.f64 (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)) (+.f64 (+.f64 (pow.f64 (.f64 y.im x.re) #s(literal 4 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 4 binary64))) (pow.f64 (.f64 (.f64 (.f64 y.re x.im) x.re) y.im) #s(literal 2 binary64))))))
(-.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 6 binary64)) (.f64 (fma.f64 (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)) (.f64 y.re x.im) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 3 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 3 binary64))))) (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 6 binary64)) (.f64 (fma.f64 (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)) (.f64 y.re x.im) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 3 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 3 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 y.im) x.re (.f64 y.re x.im))) (neg.f64 (fma.f64 y.re x.im (.f64 y.im x.re))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)) (.f64 y.re x.im) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64))))) (neg.f64 (fma.f64 y.re x.im (*.f64 y.im x.re))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 4 binary64)) (+.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)))) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) (/.f64 (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 4 binary64)) (+.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)))) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 y.im x.re) #s(literal 4 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 4 binary64))) (pow.f64 (.f64 (.f64 (.f64 y.re x.im) x.re) y.im) #s(literal 2 binary64)))) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) (/.f64 (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 y.im x.re) #s(literal 4 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 4 binary64))) (pow.f64 (.f64 (.f64 (.f64 y.re x.im) x.re) y.im) #s(literal 2 binary64)))) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 6 binary64)) (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 3 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 3 binary64)))) (fma.f64 (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)) (.f64 y.re x.im) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 6 binary64)) (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 3 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 3 binary64)))) (fma.f64 (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)) (.f64 y.re x.im) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (-.f64 (.f64 y.re x.im) (.f64 y.im x.re))) (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (-.f64 (.f64 y.re x.im) (.f64 y.im x.re))))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 y.re x.im (*.f64 y.im x.re))))
(-.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))))
(-.f64 (.f64 y.im x.re) (.f64 (neg.f64 y.re) x.im))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 y.re x.im (.f64 y.im x.re)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (-.f64 (.f64 y.re x.im) (.f64 y.im x.re))) (neg.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)))))
(+.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) (neg.f64 (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)))))
(+.f64 (.f64 y.re x.im) (.f64 y.im x.re))
(+.f64 (.f64 y.im x.re) (.f64 y.re x.im))
(*.f64 (exp.f64 (log.f64 x.re)) (exp.f64 (log.f64 y.im)))
(*.f64 (exp.f64 (log.f64 y.im)) (exp.f64 (log.f64 x.re)))
(*.f64 (pow.f64 y.im #s(literal 1 binary64)) (pow.f64 x.re #s(literal 1 binary64)))
(*.f64 (pow.f64 x.re #s(literal 1 binary64)) (pow.f64 y.im #s(literal 1 binary64)))
(*.f64 y.im x.re)
(*.f64 x.re y.im)
(pow.f64 (*.f64 y.im x.re) #s(literal 1 binary64))
(exp.f64 (.f64 (log.f64 (.f64 y.im x.re)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 y.im x.re)))
(*.f64 (exp.f64 (log.f64 x.im)) (exp.f64 (log.f64 y.re)))
(*.f64 (exp.f64 (log.f64 y.re)) (exp.f64 (log.f64 x.im)))
(*.f64 (pow.f64 y.re #s(literal 1 binary64)) (pow.f64 x.im #s(literal 1 binary64)))
(*.f64 (pow.f64 x.im #s(literal 1 binary64)) (pow.f64 y.re #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 y.re) x.im))
(*.f64 y.re x.im)
(*.f64 x.im y.re)
(pow.f64 (*.f64 y.re x.im) #s(literal 1 binary64))
(neg.f64 (*.f64 (neg.f64 y.re) x.im))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y.re) x.im))
(exp.f64 (.f64 (log.f64 (.f64 y.re x.im)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 y.re x.im)))

eval36.0ms (1.4%)

Memory: -8.7MiB live, 29.5MiB allocated
Compiler: Compiled 6 115 to 490 computations (92% saved)

prune3.0ms (0.1%)

Memory

10.0MiB live, 10.0MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	175	3	178
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	176	3	179

Accuracy

100.0%

Counts

179 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(fma.f64 y.re x.im (*.f64 y.im x.re))
▶	100.0%	(fma.f64 y.im x.re (*.f64 y.re x.im))
▶	48.1%	#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.re x.im))

Compiler

Compiled 23 to 21 computations (8.7% saved)

simplify3.0ms (0.1%)

Memory

3.3MiB live, 3.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 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))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	42
0	16	41
1	17	41
0	17	41

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

localize34.0ms (1.3%)

Memory

-2.2MiB live, 36.7MiB allocated

Localize:

Found 6 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	0.00390625	(fma.f64 y.im x.re (*.f64 y.re x.im))
accuracy	0	(*.f64 y.re x.im)
accuracy	33.21559331198901	#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.re x.im))

Samples

27.0ms

256×

valid

Compiler

Compiled 84 to 25 computations (70.2% saved)

Precisions

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

ival-mult: 7.0ms (70.8% of total)

ival-add: 3.0ms (30.3% of total)

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

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

series4.0ms (0.2%)

Memory

7.0MiB live, 7.0MiB allocated

Counts

5 → 11

Calls

Call 1

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

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

Calls

12 calls:

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

simplify100.0ms (3.9%)

Memory

-11.5MiB live, 70.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	69
1	149	69
2	468	69
3	1237	69
4	3370	69
5	5682	69
6	7170	69
0	8027	60

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 11

Calls

Call 1

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

Outputs
(* x.im y.re)
(*.f64 y.re x.im)
(+ (* x.im y.re) (* x.re y.im))
(fma.f64 y.im x.re (*.f64 y.re x.im))
(* x.re y.im)
(*.f64 y.im x.re)
(* x.re (+ y.im (/ (* x.im y.re) x.re)))
(fma.f64 y.im x.re (*.f64 y.re x.im))
(* -1 (* x.re (+ (* -1 y.im) (* -1 (/ (* x.im y.re) x.re)))))
(fma.f64 y.im x.re (*.f64 y.re x.im))
(* x.im (+ y.re (/ (* x.re y.im) x.im)))
(fma.f64 y.im x.re (*.f64 y.re x.im))
(* -1 (* x.im (+ (* -1 y.re) (* -1 (/ (* x.re y.im) x.im)))))
(fma.f64 y.im x.re (*.f64 y.re x.im))
(* y.re (+ x.im (/ (* x.re y.im) y.re)))
(fma.f64 y.im x.re (*.f64 y.re x.im))
(* -1 (* y.re (+ (* -1 x.im) (* -1 (/ (* x.re y.im) y.re)))))
(fma.f64 y.im x.re (*.f64 y.re x.im))
(* y.im (+ x.re (/ (* x.im y.re) y.im)))
(fma.f64 y.im x.re (*.f64 y.re x.im))
(* -1 (* y.im (+ (* -1 x.re) (* -1 (/ (* x.im y.re) y.im)))))
(fma.f64 y.im x.re (*.f64 y.re x.im))

rewrite219.0ms (8.5%)

Memory

15.0MiB live, 171.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	29
0	16	28
1	56	28
2	298	28
3	3184	28
0	8140	28

Stop Event

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

Counts

5 → 419

Calls

Call 1

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

Outputs
#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.re x.im))
(*.f64 (exp.f64 (log.f64 x.im)) (exp.f64 (log.f64 y.re)))
(*.f64 (exp.f64 (log.f64 y.re)) (exp.f64 (log.f64 x.im)))
(*.f64 (pow.f64 y.re #s(literal 1 binary64)) (pow.f64 x.im #s(literal 1 binary64)))
(*.f64 (pow.f64 x.im #s(literal 1 binary64)) (pow.f64 y.re #s(literal 1 binary64)))
(*.f64 y.re x.im)
(*.f64 x.im y.re)
(pow.f64 (*.f64 y.re x.im) #s(literal 1 binary64))
(exp.f64 (.f64 (log.f64 (.f64 y.re x.im)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 y.re x.im)))
(.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 y.im) x.re (.f64 y.re x.im)) (-.f64 (pow.f64 (.f64 y.re x.im) #s(literal 4 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 y.im) x.re (.f64 y.re x.im)) (-.f64 (pow.f64 (.f64 y.re x.im) #s(literal 6 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (.f64 y.re x.im) #s(literal 4 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 4 binary64))) (pow.f64 (.f64 (.f64 (*.f64 y.im x.re) y.re) x.im) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)) (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 4 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)) (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 6 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (.f64 y.im x.re) #s(literal 4 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 4 binary64))) (pow.f64 (.f64 (.f64 (*.f64 y.im x.re) y.re) x.im) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 (neg.f64 y.im) x.re (.f64 y.re x.im)) (.f64 y.re x.im) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 6 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 3 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 (neg.f64 y.im) x.re (.f64 y.re x.im)) (.f64 y.re x.im) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 y.re x.im) #s(literal 6 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (.f64 y.re x.im) #s(literal 3 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 (neg.f64 y.im) x.re (.f64 y.re x.im)) (.f64 y.re x.im) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64))) (+.f64 (pow.f64 (.f64 y.im x.re) #s(literal 9 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (.f64 y.im x.re) #s(literal 6 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 (*.f64 y.im x.re) y.re) x.im) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 (neg.f64 y.im) x.re (.f64 y.re x.im)) (.f64 y.re x.im) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64))) (+.f64 (pow.f64 (.f64 y.im x.re) #s(literal 9 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (.f64 y.re x.im) #s(literal 6 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 (*.f64 y.im x.re) y.re) x.im) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 y.re x.im) #s(literal 3 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 3 binary64)))) (fma.f64 (.f64 y.im x.re) (fma.f64 y.re x.im (.f64 y.im x.re)) (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 3 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 3 binary64)))) (fma.f64 (.f64 y.im x.re) (fma.f64 y.re x.im (.f64 y.im x.re)) (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 y.re x.im) #s(literal 3 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 y.re x.im) #s(literal 4 binary64)) (pow.f64 (.f64 (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)) (.f64 y.im x.re)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (.f64 (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)) (*.f64 y.im x.re))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 y.re x.im) #s(literal 3 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)) (.f64 y.im x.re)) #s(literal 3 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 6 binary64)))) (fma.f64 (.f64 (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)) (.f64 y.im x.re)) (-.f64 (.f64 (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)) (.f64 y.im x.re)) (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64))) (pow.f64 (*.f64 y.re x.im) #s(literal 4 binary64))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 y.re x.im) #s(literal 3 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 4 binary64)) (pow.f64 (.f64 (fma.f64 (neg.f64 y.im) x.re (.f64 y.re x.im)) (.f64 y.re x.im)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (.f64 (fma.f64 (neg.f64 y.im) x.re (.f64 y.re x.im)) (*.f64 y.re x.im))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 y.re x.im) #s(literal 3 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (fma.f64 (neg.f64 y.im) x.re (.f64 y.re x.im)) (.f64 y.re x.im)) #s(literal 3 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 6 binary64)))) (fma.f64 (.f64 (fma.f64 (neg.f64 y.im) x.re (.f64 y.re x.im)) (.f64 y.re x.im)) (-.f64 (.f64 (fma.f64 (neg.f64 y.im) x.re (.f64 y.re x.im)) (.f64 y.re x.im)) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64))) (pow.f64 (*.f64 y.im x.re) #s(literal 4 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)))) (fma.f64 y.re x.im (.f64 y.im x.re)))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)))) (fma.f64 y.re x.im (.f64 y.im x.re)))
(.f64 (pow.f64 (fma.f64 (neg.f64 y.im) x.re (.f64 y.re x.im)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 (neg.f64 y.im) x.re (.f64 y.re x.im)) #s(literal -1 binary64)) (-.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64))))
(.f64 (pow.f64 (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)) #s(literal -1 binary64)) (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64))))
(.f64 (pow.f64 (fma.f64 (fma.f64 (neg.f64 y.im) x.re (.f64 y.re x.im)) (.f64 y.re x.im) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (pow.f64 (.f64 y.re x.im) #s(literal 3 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 (fma.f64 (neg.f64 y.im) x.re (.f64 y.re x.im)) (.f64 y.re x.im) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (.f64 y.re x.im) #s(literal 3 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 3 binary64))))
(.f64 #s(literal 1 binary64) (fma.f64 y.re x.im (.f64 y.im x.re)))
(.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)))) (pow.f64 (neg.f64 (fma.f64 (neg.f64 y.im) x.re (.f64 y.re x.im))) #s(literal -1 binary64)))
(.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)))) (pow.f64 (neg.f64 (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) #s(literal -1 binary64)))
(.f64 (neg.f64 (+.f64 (pow.f64 (.f64 y.re x.im) #s(literal 3 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (fma.f64 (neg.f64 y.im) x.re (.f64 y.re x.im)) (.f64 y.re x.im) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64))) (pow.f64 (fma.f64 (neg.f64 y.im) x.re (.f64 y.re x.im)) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64))) (pow.f64 (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)) #s(literal -1 binary64)))
(.f64 (fma.f64 (fma.f64 (neg.f64 y.im) x.re (.f64 y.re x.im)) (.f64 y.re x.im) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64))) (/.f64 (fma.f64 y.re x.im (.f64 y.im x.re)) (fma.f64 (fma.f64 (neg.f64 y.im) x.re (.f64 y.re x.im)) (.f64 y.re x.im) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)))))
(.f64 (fma.f64 (fma.f64 (neg.f64 y.im) x.re (.f64 y.re x.im)) (.f64 y.re x.im) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64))) (.f64 (fma.f64 y.re x.im (.f64 y.im x.re)) (pow.f64 (fma.f64 (fma.f64 (neg.f64 y.im) x.re (.f64 y.re x.im)) (.f64 y.re x.im) (pow.f64 (*.f64 y.im x.re) #s(literal 2 binary64))) #s(literal -1 binary64))))
(.f64 (+.f64 (pow.f64 (.f64 y.re x.im) #s(literal 3 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 (neg.f64 y.im) x.re (.f64 y.re x.im)) (.f64 y.re x.im) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (fma.f64 y.re x.im (.f64 y.im x.re)) (/.f64 (fma.f64 (neg.f64 y.im) x.re (.f64 y.re x.im)) (fma.f64 (neg.f64 y.im) x.re (.f64 y.re x.im))))
(.f64 (fma.f64 y.re x.im (.f64 y.im x.re)) (/.f64 (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))))
(.f64 (fma.f64 y.re x.im (.f64 y.im x.re)) (.f64 (fma.f64 (neg.f64 y.im) x.re (.f64 y.re x.im)) (pow.f64 (fma.f64 (neg.f64 y.im) x.re (*.f64 y.re x.im)) #s(literal -1 binary64))))
(.f64 (fma.f64 y.re x.im (.f64 y.im x.re)) (.f64 (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)) (pow.f64 (fma.f64 (neg.f64 y.re) x.im (*.f64 y.im x.re)) #s(literal -1 binary64))))
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(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 4 binary64)) (+.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)))) (fma.f64 (neg.f64 y.im) x.re (.f64 y.re x.im))) (/.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 4 binary64)) (+.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)))) (fma.f64 (neg.f64 y.im) x.re (.f64 y.re x.im))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 y.re x.im) #s(literal 4 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 4 binary64))) (pow.f64 (.f64 (.f64 (.f64 y.im x.re) y.re) x.im) #s(literal 2 binary64)))) (fma.f64 (neg.f64 y.im) x.re (.f64 y.re x.im))) (/.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 y.re x.im) #s(literal 4 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 4 binary64))) (pow.f64 (.f64 (.f64 (.f64 y.im x.re) y.re) x.im) #s(literal 2 binary64)))) (fma.f64 (neg.f64 y.im) x.re (.f64 y.re x.im))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 y.im x.re) #s(literal 4 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 4 binary64))) (pow.f64 (.f64 (.f64 (.f64 y.im x.re) y.re) x.im) #s(literal 2 binary64)))) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) (/.f64 (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 y.im x.re) #s(literal 4 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 4 binary64))) (pow.f64 (.f64 (.f64 (.f64 y.im x.re) y.re) x.im) #s(literal 2 binary64)))) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 4 binary64)) (+.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)))) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) (/.f64 (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 4 binary64)) (+.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)))) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 6 binary64)) (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 3 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (neg.f64 y.im) x.re (.f64 y.re x.im)) (.f64 y.re x.im) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 6 binary64)) (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 3 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (neg.f64 y.im) x.re (.f64 y.re x.im)) (.f64 y.re x.im) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 6 binary64)) (-.f64 (pow.f64 (.f64 y.re x.im) #s(literal 3 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (neg.f64 y.im) x.re (.f64 y.re x.im)) (.f64 y.re x.im) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 6 binary64)) (-.f64 (pow.f64 (.f64 y.re x.im) #s(literal 3 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (neg.f64 y.im) x.re (.f64 y.re x.im)) (.f64 y.re x.im) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)))) (/.f64 (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64))) (neg.f64 (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (neg.f64 y.im) x.re (.f64 y.re x.im)))) (/.f64 (-.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64))) (neg.f64 (fma.f64 (neg.f64 y.im) x.re (.f64 y.re x.im)))))
(-.f64 (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.im) x.re (.f64 y.re x.im))) (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.im) x.re (.f64 y.re x.im))))
(-.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 y.re x.im (.f64 y.im x.re)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.im) x.re (.f64 y.re x.im))) (neg.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.im) x.re (.f64 y.re x.im)))))
(+.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) (neg.f64 (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)))))
(+.f64 (.f64 y.im x.re) (.f64 y.re x.im))
(+.f64 (.f64 y.re x.im) (.f64 y.im x.re))
(*.f64 (exp.f64 (log.f64 y.im)) (exp.f64 (log.f64 x.re)))
(*.f64 (exp.f64 (log.f64 x.re)) (exp.f64 (log.f64 y.im)))
(*.f64 (pow.f64 y.im #s(literal 1 binary64)) (pow.f64 x.re #s(literal 1 binary64)))
(*.f64 (pow.f64 x.re #s(literal 1 binary64)) (pow.f64 y.im #s(literal 1 binary64)))
(*.f64 y.im x.re)
(*.f64 x.re y.im)
(pow.f64 (*.f64 y.im x.re) #s(literal 1 binary64))
(exp.f64 (.f64 (log.f64 (.f64 y.im x.re)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 y.im x.re)))

eval69.0ms (2.7%)

Memory: 1.3MiB live, 39.4MiB allocated
Compiler: Compiled 8 099 to 679 computations (91.6% saved)

prune5.0ms (0.2%)

Memory

13.6MiB live, 13.6MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	230	0	230
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	230	3	233

Accuracy

100.0%

Counts

233 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(fma.f64 y.re x.im (*.f64 y.im x.re))
✓	100.0%	(fma.f64 y.im x.re (*.f64 y.re x.im))
✓	48.1%	#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.re x.im))

Compiler

Compiled 53 to 36 computations (32.1% saved)

regimes62.0ms (2.4%)

Memory

-13.5MiB live, 25.9MiB allocated

Counts

4 → 1

Calls

Call 1

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

Calls

7 calls:

49.0ms	(*.f64 x.im y.re)
2.0ms	(*.f64 x.re y.im)
2.0ms	x.im
2.0ms	x.re
2.0ms	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.im) (.f64 x.im y.re))`
100.0%	1	`(*.f64 x.re y.im)`
100.0%	1	`(*.f64 x.im y.re)`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

regimes56.0ms (2.2%)

Memory

-23.4MiB live, 20.0MiB 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.re x.im))

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

Calls

7 calls:

48.0ms	x.re
1.0ms	(*.f64 x.im y.re)
1.0ms	x.im
1.0ms	y.im
1.0ms	y.re

Results

Accuracy	Segments	Branch
48.1%	1	`x.re`
48.1%	1	`x.im`
48.1%	1	`y.re`
48.1%	1	`y.im`
48.1%	1	`(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))`
48.1%	1	`(*.f64 x.re y.im)`
48.1%	1	`(*.f64 x.im y.re)`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

simplify68.0ms (2.6%)

Memory

0.6MiB live, 39.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	17
1	11	17

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness389.0ms (15.1%)

Memory

36.1MiB live, 194.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	69
1	149	69
2	468	69
3	1237	69
4	3370	69
5	5683	69
6	7170	69
0	8028	60
0	7	13
0	10	13
1	26	13
2	182	13
3	1813	13
0	8222	12

Stop Event

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

Compiler

Compiled 39 to 25 computations (35.9% saved)

preprocess24.0ms (0.9%)

Memory

-27.0MiB live, 51.0MiB allocated

Remove

(sort x.im y.re)

(sort x.re y.im)

Compiler

Compiled 120 to 106 computations (11.7% 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%)

sample932.0ms (36.1%)

explain122.0ms (4.7%)

preprocess43.0ms (1.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize56.0ms (2.2%)

series7.0ms (0.3%)

simplify110.0ms (4.3%)

rewrite233.0ms (9%)

eval36.0ms (1.4%)

prune3.0ms (0.1%)

simplify3.0ms (0.1%)

localize34.0ms (1.3%)

series4.0ms (0.2%)

simplify100.0ms (3.9%)

rewrite219.0ms (8.5%)

eval69.0ms (2.7%)

prune5.0ms (0.2%)

regimes62.0ms (2.4%)

regimes56.0ms (2.2%)

simplify68.0ms (2.6%)

soundness389.0ms (15.1%)

preprocess24.0ms (0.9%)

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