Metrics for _multiplyComplex, real part

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

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)

sample779.0ms (29.6%)

Memory

3.3MiB live, 1 338.1MiB allocated; 224ms collecting garbage

Samples

519.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 213.0ms

ival-mult: 170.0ms (79.7% of total)

ival-sub: 39.0ms (18.3% of total)

adjust: 2.0ms (0.9% of total)

ival-assert: 2.0ms (0.9% of total)

Bogosity

explain122.0ms (4.6%)

Memory

22.3MiB live, 125.2MiB allocated; 32ms collecting garbage

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))`	nan-rescue	1	0
↳	`(*.f64 x.re y.re)`	overflow	40
↳	`(*.f64 x.im y.im)`	overflow	30

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

44.0ms

512×

valid

Compiler

Compiled 45 to 25 computations (44.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-mult: 26.0ms (91.3% of total)

ival-sub: 2.0ms (7% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess34.0ms (1.3%)

Memory

-11.9MiB live, 35.9MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	109
1	66	109
2	123	109
3	190	109
4	214	109
5	217	109
0	7	7
0	10	7
1	15	7
2	24	7
3	40	7
4	58	7
5	70	7
6	74	7
7	77	7
0	77	7

Stop Event

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

Calls

Call 1

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

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

Symmetry

(sort x.re y.re)

(sort x.im y.im)

Compiler

Compiled 7 to 7 computations (0% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 7 computations (0% saved)

series14.0ms (0.5%)

Memory

-23.4MiB live, 21.1MiB allocated; 6ms collecting garbage

Counts

7 → 18

Calls

Call 1

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

Outputs
#s(approx (- (* x.re y.re) (* x.im y.im)) #s(hole binary64 (* -1 (* x.im y.im))))
#s(approx (- (* x.re y.re) (* x.im y.im)) #s(hole binary64 (- (* x.re y.re) (* x.im y.im))))
#s(approx (* x.re y.re) #s(hole binary64 (* x.re y.re)))
#s(approx x.re #s(hole binary64 x.re))
#s(approx (- (* x.re y.re) (* x.im y.im)) #s(hole binary64 (* x.re y.re)))
#s(approx (- (* x.re y.re) (* x.im y.im)) #s(hole binary64 (* x.re (+ y.re (* -1 (/ (* x.im y.im) x.re))))))
#s(approx (- (* x.re y.re) (* x.im y.im)) #s(hole binary64 (* -1 (* x.re (+ (* -1 y.re) (/ (* x.im y.im) x.re))))))
#s(approx (- (* x.re y.re) (* x.im y.im)) #s(hole binary64 (+ (* -1 (* x.im y.im)) (* x.re y.re))))
#s(approx (* x.im y.im) #s(hole binary64 (* x.im y.im)))
#s(approx x.im #s(hole binary64 x.im))
#s(approx (- (* x.re y.re) (* x.im y.im)) #s(hole binary64 (* x.im (- (/ (* x.re y.re) x.im) y.im))))
#s(approx (- (* x.re y.re) (* x.im y.im)) #s(hole binary64 (* -1 (* x.im (- (* -1 (/ (* x.re y.re) x.im)) (* -1 y.im))))))
#s(approx y.re #s(hole binary64 y.re))
#s(approx (- (* x.re y.re) (* x.im y.im)) #s(hole binary64 (* y.re (+ x.re (* -1 (/ (* x.im y.im) y.re))))))
#s(approx (- (* x.re y.re) (* x.im y.im)) #s(hole binary64 (* -1 (* y.re (+ (* -1 x.re) (/ (* x.im y.im) y.re))))))
#s(approx y.im #s(hole binary64 y.im))
#s(approx (- (* x.re y.re) (* x.im y.im)) #s(hole binary64 (* y.im (- (/ (* x.re y.re) y.im) x.im))))
#s(approx (- (* x.re y.re) (* x.im y.im)) #s(hole binary64 (* -1 (* y.im (- (* -1 (/ (* x.re y.re) y.im)) (* -1 x.im))))))

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	y.re	@	-inf	((- (* x.re y.re) (* x.im y.im)) (* x.re y.re) x.re y.re (* x.im y.im) x.im y.im)
1.0ms	y.im	@	0	((- (* x.re y.re) (* x.im y.im)) (* x.re y.re) x.re y.re (* x.im y.im) x.im y.im)
1.0ms	x.re	@	-inf	((- (* x.re y.re) (* x.im y.im)) (* x.re y.re) x.re y.re (* x.im y.im) x.im y.im)
1.0ms	x.re	@	inf	((- (* x.re y.re) (* x.im y.im)) (* x.re y.re) x.re y.re (* x.im y.im) x.im y.im)
1.0ms	y.im	@	-inf	((- (* x.re y.re) (* x.im y.im)) (* x.re y.re) x.re y.re (* x.im y.im) x.im y.im)

rewrite195.0ms (7.4%)

Memory

27.4MiB live, 267.8MiB allocated; 34ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	259
0	65	244
1	291	240
2	2296	238
0	9079	236

Stop Event

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

Counts

25 → 84

Calls

Call 1

Inputs
(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))
(*.f64 x.re y.re)
x.re
y.re
(*.f64 x.im y.im)
x.im
y.im
#s(approx (- (* x.re y.re) (* x.im y.im)) #s(hole binary64 (* -1 (* x.im y.im))))
#s(approx (- (* x.re y.re) (* x.im y.im)) #s(hole binary64 (- (* x.re y.re) (* x.im y.im))))
#s(approx (* x.re y.re) #s(hole binary64 (* x.re y.re)))
#s(approx x.re #s(hole binary64 x.re))
#s(approx (- (* x.re y.re) (* x.im y.im)) #s(hole binary64 (* x.re y.re)))
#s(approx (- (* x.re y.re) (* x.im y.im)) #s(hole binary64 (* x.re (+ y.re (* -1 (/ (* x.im y.im) x.re))))))
#s(approx (- (* x.re y.re) (* x.im y.im)) #s(hole binary64 (* -1 (* x.re (+ (* -1 y.re) (/ (* x.im y.im) x.re))))))
#s(approx (- (* x.re y.re) (* x.im y.im)) #s(hole binary64 (+ (* -1 (* x.im y.im)) (* x.re y.re))))
#s(approx (* x.im y.im) #s(hole binary64 (* x.im y.im)))
#s(approx x.im #s(hole binary64 x.im))
#s(approx (- (* x.re y.re) (* x.im y.im)) #s(hole binary64 (* x.im (- (/ (* x.re y.re) x.im) y.im))))
#s(approx (- (* x.re y.re) (* x.im y.im)) #s(hole binary64 (* -1 (* x.im (- (* -1 (/ (* x.re y.re) x.im)) (* -1 y.im))))))
#s(approx y.re #s(hole binary64 y.re))
#s(approx (- (* x.re y.re) (* x.im y.im)) #s(hole binary64 (* y.re (+ x.re (* -1 (/ (* x.im y.im) y.re))))))
#s(approx (- (* x.re y.re) (* x.im y.im)) #s(hole binary64 (* -1 (* y.re (+ (* -1 x.re) (/ (* x.im y.im) y.re))))))
#s(approx y.im #s(hole binary64 y.im))
#s(approx (- (* x.re y.re) (* x.im y.im)) #s(hole binary64 (* y.im (- (/ (* x.re y.re) y.im) x.im))))
#s(approx (- (* x.re y.re) (* x.im y.im)) #s(hole binary64 (* -1 (* y.im (- (* -1 (/ (* x.re y.re) y.im)) (* -1 x.im))))))

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

eval11.0ms (0.4%)

Memory: -26.2MiB live, 19.8MiB allocated; 5ms collecting garbage
Compiler: Compiled 2 247 to 244 computations (89.1% saved)

prune4.0ms (0.1%)

Memory

9.4MiB live, 9.4MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	80	3	83
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	81	3	84

Accuracy

100.0%

Counts

84 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 y.re x.re (*.f64 (neg.f64 x.im) y.im))
▶	51.4%	#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 x.im) y.im))
▶	52.3%	#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 y.re x.re))

Compiler

Compiled 30 to 26 computations (13.3% saved)

series8.0ms (0.3%)

Memory

15.4MiB live, 15.4MiB allocated; 0ms collecting garbage

Counts

10 → 30

Calls

Call 1

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

Outputs
#s(approx (- (* x.re y.re) (* x.im y.im)) #s(hole binary64 (* -1 (* x.im y.im))))
#s(approx (- (* x.re y.re) (* x.im y.im)) #s(hole binary64 (- (* x.re y.re) (* x.im y.im))))
#s(approx (* y.re x.re) #s(hole binary64 (* x.re y.re)))
#s(approx x.re #s(hole binary64 x.re))
#s(approx (+ (* y.re x.re) (* (neg x.im) y.im)) #s(hole binary64 (* -1 (* x.im y.im))))
#s(approx (+ (* y.re x.re) (* (neg x.im) y.im)) #s(hole binary64 (+ (* -1 (* x.im y.im)) (* x.re y.re))))
#s(approx (- (* x.re y.re) (* x.im y.im)) #s(hole binary64 (* x.re y.re)))
#s(approx (- (* x.re y.re) (* x.im y.im)) #s(hole binary64 (* x.re (+ y.re (* -1 (/ (* x.im y.im) x.re))))))
#s(approx (+ (* y.re x.re) (* (neg x.im) y.im)) #s(hole binary64 (* x.re y.re)))
#s(approx (+ (* y.re x.re) (* (neg x.im) y.im)) #s(hole binary64 (* x.re (+ y.re (* -1 (/ (* x.im y.im) x.re))))))
#s(approx (- (* x.re y.re) (* x.im y.im)) #s(hole binary64 (* -1 (* x.re (+ (* -1 y.re) (/ (* x.im y.im) x.re))))))
#s(approx (+ (* y.re x.re) (* (neg x.im) y.im)) #s(hole binary64 (* -1 (* x.re (+ (* -1 y.re) (/ (* x.im y.im) x.re))))))
#s(approx (- (* x.re y.re) (* x.im y.im)) #s(hole binary64 (+ (* -1 (* x.im y.im)) (* x.re y.re))))
#s(approx (* (neg x.im) y.im) #s(hole binary64 (* -1 (* x.im y.im))))
#s(approx (neg x.im) #s(hole binary64 (* -1 x.im)))
#s(approx x.im #s(hole binary64 x.im))
#s(approx (- (* x.re y.re) (* x.im y.im)) #s(hole binary64 (* x.im (- (/ (* x.re y.re) x.im) y.im))))
#s(approx (+ (* y.re x.re) (* (neg x.im) y.im)) #s(hole binary64 (* x.im (+ (* -1 y.im) (/ (* x.re y.re) x.im)))))
#s(approx (- (* x.re y.re) (* x.im y.im)) #s(hole binary64 (* -1 (* x.im (- (* -1 (/ (* x.re y.re) x.im)) (* -1 y.im))))))
#s(approx (+ (* y.re x.re) (* (neg x.im) y.im)) #s(hole binary64 (* -1 (* x.im (+ y.im (* -1 (/ (* x.re y.re) x.im)))))))
#s(approx y.re #s(hole binary64 y.re))
#s(approx (- (* x.re y.re) (* x.im y.im)) #s(hole binary64 (* y.re (+ x.re (* -1 (/ (* x.im y.im) y.re))))))
#s(approx (+ (* y.re x.re) (* (neg x.im) y.im)) #s(hole binary64 (* y.re (+ x.re (* -1 (/ (* x.im y.im) y.re))))))
#s(approx (- (* x.re y.re) (* x.im y.im)) #s(hole binary64 (* -1 (* y.re (+ (* -1 x.re) (/ (* x.im y.im) y.re))))))
#s(approx (+ (* y.re x.re) (* (neg x.im) y.im)) #s(hole binary64 (* -1 (* y.re (+ (* -1 x.re) (/ (* x.im y.im) y.re))))))
#s(approx y.im #s(hole binary64 y.im))
#s(approx (- (* x.re y.re) (* x.im y.im)) #s(hole binary64 (* y.im (- (/ (* x.re y.re) y.im) x.im))))
#s(approx (+ (* y.re x.re) (* (neg x.im) y.im)) #s(hole binary64 (* y.im (+ (* -1 x.im) (/ (* x.re y.re) y.im)))))
#s(approx (- (* x.re y.re) (* x.im y.im)) #s(hole binary64 (* -1 (* y.im (- (* -1 (/ (* x.re y.re) y.im)) (* -1 x.im))))))
#s(approx (+ (* y.re x.re) (* (neg x.im) y.im)) #s(hole binary64 (* -1 (* y.im (+ x.im (* -1 (/ (* x.re y.re) y.im)))))))

Calls

12 calls:

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

rewrite1.2s (46.5%)

Memory

-256.1MiB live, 295.4MiB allocated; 1.5s collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	92	495
0	96	451
1	429	447
2	3226	443
0	8316	443

Stop Event

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

Counts

40 → 94

Calls

Call 1

Inputs
#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 y.re x.re))
(*.f64 y.re x.re)
y.re
x.re
#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 x.im) y.im))
(*.f64 (neg.f64 x.im) y.im)
(neg.f64 x.im)
x.im
y.im
(fma.f64 y.re x.re (*.f64 (neg.f64 x.im) y.im))
#s(approx (- (* x.re y.re) (* x.im y.im)) #s(hole binary64 (* -1 (* x.im y.im))))
#s(approx (- (* x.re y.re) (* x.im y.im)) #s(hole binary64 (- (* x.re y.re) (* x.im y.im))))
#s(approx (* y.re x.re) #s(hole binary64 (* x.re y.re)))
#s(approx x.re #s(hole binary64 x.re))
#s(approx (+ (* y.re x.re) (* (neg x.im) y.im)) #s(hole binary64 (* -1 (* x.im y.im))))
#s(approx (+ (* y.re x.re) (* (neg x.im) y.im)) #s(hole binary64 (+ (* -1 (* x.im y.im)) (* x.re y.re))))
#s(approx (- (* x.re y.re) (* x.im y.im)) #s(hole binary64 (* x.re y.re)))
#s(approx (- (* x.re y.re) (* x.im y.im)) #s(hole binary64 (* x.re (+ y.re (* -1 (/ (* x.im y.im) x.re))))))
#s(approx (+ (* y.re x.re) (* (neg x.im) y.im)) #s(hole binary64 (* x.re y.re)))
#s(approx (+ (* y.re x.re) (* (neg x.im) y.im)) #s(hole binary64 (* x.re (+ y.re (* -1 (/ (* x.im y.im) x.re))))))
#s(approx (- (* x.re y.re) (* x.im y.im)) #s(hole binary64 (* -1 (* x.re (+ (* -1 y.re) (/ (* x.im y.im) x.re))))))
#s(approx (+ (* y.re x.re) (* (neg x.im) y.im)) #s(hole binary64 (* -1 (* x.re (+ (* -1 y.re) (/ (* x.im y.im) x.re))))))
#s(approx (- (* x.re y.re) (* x.im y.im)) #s(hole binary64 (+ (* -1 (* x.im y.im)) (* x.re y.re))))
#s(approx (* (neg x.im) y.im) #s(hole binary64 (* -1 (* x.im y.im))))
#s(approx (neg x.im) #s(hole binary64 (* -1 x.im)))
#s(approx x.im #s(hole binary64 x.im))
#s(approx (- (* x.re y.re) (* x.im y.im)) #s(hole binary64 (* x.im (- (/ (* x.re y.re) x.im) y.im))))
#s(approx (+ (* y.re x.re) (* (neg x.im) y.im)) #s(hole binary64 (* x.im (+ (* -1 y.im) (/ (* x.re y.re) x.im)))))
#s(approx (- (* x.re y.re) (* x.im y.im)) #s(hole binary64 (* -1 (* x.im (- (* -1 (/ (* x.re y.re) x.im)) (* -1 y.im))))))
#s(approx (+ (* y.re x.re) (* (neg x.im) y.im)) #s(hole binary64 (* -1 (* x.im (+ y.im (* -1 (/ (* x.re y.re) x.im)))))))
#s(approx y.re #s(hole binary64 y.re))
#s(approx (- (* x.re y.re) (* x.im y.im)) #s(hole binary64 (* y.re (+ x.re (* -1 (/ (* x.im y.im) y.re))))))
#s(approx (+ (* y.re x.re) (* (neg x.im) y.im)) #s(hole binary64 (* y.re (+ x.re (* -1 (/ (* x.im y.im) y.re))))))
#s(approx (- (* x.re y.re) (* x.im y.im)) #s(hole binary64 (* -1 (* y.re (+ (* -1 x.re) (/ (* x.im y.im) y.re))))))
#s(approx (+ (* y.re x.re) (* (neg x.im) y.im)) #s(hole binary64 (* -1 (* y.re (+ (* -1 x.re) (/ (* x.im y.im) y.re))))))
#s(approx y.im #s(hole binary64 y.im))
#s(approx (- (* x.re y.re) (* x.im y.im)) #s(hole binary64 (* y.im (- (/ (* x.re y.re) y.im) x.im))))
#s(approx (+ (* y.re x.re) (* (neg x.im) y.im)) #s(hole binary64 (* y.im (+ (* -1 x.im) (/ (* x.re y.re) y.im)))))
#s(approx (- (* x.re y.re) (* x.im y.im)) #s(hole binary64 (* -1 (* y.im (- (* -1 (/ (* x.re y.re) y.im)) (* -1 x.im))))))
#s(approx (+ (* y.re x.re) (* (neg x.im) y.im)) #s(hole binary64 (* -1 (* y.im (+ x.im (* -1 (/ (* x.re y.re) y.im)))))))

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

eval33.0ms (1.3%)

Memory: -30.9MiB live, 20.2MiB allocated; 32ms collecting garbage
Compiler: Compiled 1 648 to 208 computations (87.4% saved)

prune6.0ms (0.2%)

Memory

15.5MiB live, 15.5MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	98	3	101

Accuracy

100.0%

Counts

101 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 y.re x.re (*.f64 (neg.f64 x.im) y.im))
✓	51.4%	#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 x.im) y.im))
✓	52.3%	#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 y.re x.re))

Compiler

Compiled 67 to 42 computations (37.3% saved)

regimes16.0ms (0.6%)

Memory

-17.6MiB live, 30.3MiB allocated; 4ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

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

Calls

7 calls:

4.0ms	(*.f64 x.re y.re)
2.0ms	y.re
2.0ms	y.im
2.0ms	x.re
2.0ms	x.im

Results

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

Compiler

Compiled 17 to 33 computations (-94.1% saved)

regimes12.0ms (0.5%)

Memory

28.3MiB live, 28.3MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

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

Compiler

Compiled 17 to 33 computations (-94.1% saved)

regimes13.0ms (0.5%)

Memory

-17.2MiB live, 27.0MiB allocated; 4ms collecting garbage

Counts

2 → 3

Calls

Call 1

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

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

Calls

7 calls:

4.0ms	x.re
1.0ms	(*.f64 x.im y.im)
1.0ms	x.im
1.0ms	y.re
1.0ms	y.im

Results

Accuracy	Segments	Branch
77.3%	3	`(*.f64 x.im y.im)`
78.5%	3	`(*.f64 x.re y.re)`
59.1%	3	`(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))`
70.9%	3	`x.re`
71.6%	3	`x.im`
74.3%	3	`y.re`
71.3%	3	`y.im`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

regimes8.0ms (0.3%)

Memory

26.0MiB live, 26.0MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
52.3%	1	`(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))`
52.3%	1	`x.re`
52.3%	1	`y.im`
52.3%	1	`x.im`
52.3%	1	`y.re`
52.3%	1	`(*.f64 x.im y.im)`
52.3%	1	`(*.f64 x.re y.re)`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	7.304583730154103e+37	2.9533402052715036e+44
0.0ms	-1.2581612760769495e+64	-8.248814957218888e+61

Compiler

Compiled 10 to 14 computations (-40% saved)

simplify13.0ms (0.5%)

Memory

-20.9MiB live, 26.3MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	61
1	37	61
2	52	61
3	73	61
4	92	61
5	104	61
6	108	61
7	111	61

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 y.re x.re (*.f64 (neg.f64 x.im) y.im))
(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))
(if (<=.f64 (.f64 x.re y.re) #s(literal -10000000000000000213204190094543968723012578712679649467743338496 binary64)) #s(approx (- ( x.re y.re) (* x.im y.im)) (.f64 y.re x.re)) (if (<=.f64 (.f64 x.re y.re) #s(literal 99999999999999997748809823456034029568 binary64)) #s(approx (- (* x.re y.re) (* x.im y.im)) (.f64 (neg.f64 x.im) y.im)) #s(approx (- ( x.re y.re) (* x.im y.im)) (*.f64 y.re x.re))))
#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 y.re x.re))

Outputs
(fma.f64 y.re x.re (*.f64 (neg.f64 x.im) y.im))
(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))
(if (<=.f64 (.f64 x.re y.re) #s(literal -10000000000000000213204190094543968723012578712679649467743338496 binary64)) #s(approx (- ( x.re y.re) (* x.im y.im)) (.f64 y.re x.re)) (if (<=.f64 (.f64 x.re y.re) #s(literal 99999999999999997748809823456034029568 binary64)) #s(approx (- (* x.re y.re) (* x.im y.im)) (.f64 (neg.f64 x.im) y.im)) #s(approx (- ( x.re y.re) (* x.im y.im)) (*.f64 y.re x.re))))
(if (or (<=.f64 (.f64 x.re y.re) #s(literal -10000000000000000213204190094543968723012578712679649467743338496 binary64)) (not (<=.f64 (.f64 x.re y.re) #s(literal 99999999999999997748809823456034029568 binary64)))) #s(approx (- (* x.re y.re) (* x.im y.im)) (.f64 y.re x.re)) #s(approx (- ( x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 x.im) y.im)))
#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 y.re x.re))

derivations111.0ms (4.2%)

Memory

-19.6MiB live, 126.8MiB allocated; 12ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 61 to 23 computations (62.3% saved)

preprocess26.0ms (1%)

Memory

2.9MiB live, 49.6MiB allocated; 4ms collecting garbage

Remove

(sort x.im y.im)

(sort x.re y.re)

Compiler

Compiled 192 to 116 computations (39.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Iter	Nodes	Cost
0	37	109
1	66	109
2	123	109
3	190	109
4	214	109
5	217	109
0	7	7
0	10	7
1	15	7
2	24	7
3	40	7
4	58	7
5	70	7
6	74	7
7	77	7
0	77	7

Iter	Nodes	Cost
0	37	109
1	66	109
2	123	109
3	190	109
4	214	109
5	217	109
0	7	7
0	10	7
1	15	7
2	24	7
3	40	7
4	58	7
5	70	7
6	74	7
7	77	7
0	77	7

start0.0ms (0%)

analyze1.0ms (0%)

sample779.0ms (29.6%)

explain122.0ms (4.6%)

preprocess34.0ms (1.3%)

eval0.0ms (0%)

prune0.0ms (0%)

series14.0ms (0.5%)

rewrite195.0ms (7.4%)

eval11.0ms (0.4%)

prune4.0ms (0.1%)

series8.0ms (0.3%)

rewrite1.2s (46.5%)

eval33.0ms (1.3%)

prune6.0ms (0.2%)

regimes16.0ms (0.6%)

regimes12.0ms (0.5%)

regimes13.0ms (0.5%)

regimes8.0ms (0.3%)

bsearch1.0ms (0%)

simplify13.0ms (0.5%)

derivations111.0ms (4.2%)

preprocess26.0ms (1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	37	109
1	66	109
2	123	109
3	190	109
4	214	109
5	217	109
0	7	7
0	10	7
1	15	7
2	24	7
3	40	7
4	58	7
5	70	7
6	74	7
7	77	7
0	77	7