Metrics for _multiplyComplex, imaginary part

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.9MiB live, 0.9MiB 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)

sample1.3s (69.5%)

Memory

-36.1MiB live, 1 210.9MiB allocated; 997ms collecting garbage

Samples

983.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 184.0ms

ival-mult: 119.0ms (64.8% of total)

ival-add: 59.0ms (32.1% of total)

ival-assert: 3.0ms (1.6% of total)

adjust: 2.0ms (1.1% of total)

Bogosity

explain70.0ms (3.7%)

Memory

26.5MiB live, 158.7MiB allocated; 16ms collecting garbage

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(*.f64 x.im y.re)`
-	-	`(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))`
-	-	`x.re`
-	-	`y.re`
-	-	`(*.f64 x.re y.im)`
-	-	`y.im`
-	-	`x.im`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

28.0ms

512×

valid

Compiler

Compiled 45 to 25 computations (44.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 7.0ms (59.7% of total)

ival-add: 4.0ms (34.1% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess22.0ms (1.2%)

Memory

-15.2MiB live, 37.5MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	109
1	77	105
2	147	105
3	225	105
4	244	105
5	250	105
0	7	7
0	10	7
1	16	7
2	30	7
3	50	7
4	71	7
5	75	7
6	78	7
0	78	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: 0.1MiB 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
▶	100.0%	(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))

Compiler

Compiled 7 to 7 computations (0% saved)

series11.0ms (0.6%)

Memory

-25.8MiB live, 19.5MiB allocated; 3ms collecting garbage

Counts

7 → 17

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

Calls

12 calls:

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

rewrite152.0ms (8.1%)

Memory

10.6MiB live, 232.0MiB allocated; 42ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	240
0	63	216
1	315	216
2	2542	216
0	8382	195

Stop Event

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

Counts

24 → 69

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

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

eval6.0ms (0.3%)

Memory: 15.9MiB live, 15.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 398 to 170 computations (87.8% saved)

prune2.0ms (0.1%)

Memory

7.3MiB live, 7.3MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	62	3	65
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	63	3	66

Accuracy

100.0%

Counts

66 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 y.im x.re (*.f64 y.re x.im))
▶	50.3%	#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.re x.im))
▶	53.3%	#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.im x.re))

Compiler

Compiled 28 to 24 computations (14.3% saved)

series6.0ms (0.3%)

Memory

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

Counts

9 → 28

Calls

Call 1

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

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

Calls

12 calls:

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

rewrite155.0ms (8.3%)

Memory

-24.2MiB live, 223.3MiB allocated; 66ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	447
0	80	384
1	356	384
2	2595	384
0	8445	368

Stop Event

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

Counts

37 → 85

Calls

Call 1

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

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

eval7.0ms (0.4%)

Memory: 20.3MiB live, 20.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 557 to 183 computations (88.2% saved)

prune8.0ms (0.4%)

Memory

-42.0MiB live, 11.6MiB allocated; 7ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	79	3	82

Accuracy

100.0%

Counts

82 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 y.im x.re (*.f64 y.re x.im))
✓	50.3%	#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.re x.im))
✓	53.3%	#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.im x.re))

Compiler

Compiled 63 to 39 computations (38.1% saved)

regimes13.0ms (0.7%)

Memory

36.2MiB live, 36.2MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

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

Results

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

regimes10.0ms (0.5%)

Memory

-7.8MiB live, 39.5MiB allocated; 1ms collecting garbage

Counts

2 → 3

Calls

Call 1

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

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

Calls

7 calls:

2.0ms	y.re
1.0ms	x.re
1.0ms	(*.f64 x.re y.im)
1.0ms	y.im
1.0ms	x.im

Results

Accuracy	Segments	Branch
77.7%	3	`(*.f64 x.im y.re)`
77.8%	3	`(*.f64 x.re y.im)`
57.9%	2	`(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))`
73.6%	3	`x.re`
74.2%	3	`x.im`
73.9%	3	`y.re`
71.8%	3	`y.im`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

regimes8.0ms (0.4%)

Memory

-13.6MiB live, 33.9MiB allocated; 1ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

7 calls:

2.0ms	x.im
1.0ms	(*.f64 x.re y.im)
1.0ms	y.re
1.0ms	x.re
1.0ms	y.im

Results

Accuracy	Segments	Branch
53.3%	1	`(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))`
53.3%	1	`y.im`
53.3%	1	`x.re`
53.3%	1	`y.re`
53.3%	1	`x.im`
53.3%	1	`(*.f64 x.im y.re)`
53.3%	1	`(*.f64 x.re y.im)`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

bsearch1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.360944557094862e+21	1.1582548641362422e+26
0.0ms	-4.9678821829837925e-71	-3.1735047226237387e-75

Compiler

Compiled 10 to 14 computations (-40% saved)

simplify12.0ms (0.6%)

Memory

-7.9MiB live, 38.6MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	52
1	28	52
2	42	52
3	62	52
4	83	52
5	87	52
6	90	52

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 (*.f64 x.re y.im) #s(literal -2486616182048933/62165404551223330269422781018352605012557018849668464680057997111644937126566671941632 binary64)) #s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.im x.re)) (if (<=.f64 (*.f64 x.re y.im) #s(literal 10000000000000000000000 binary64)) #s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.re x.im)) #s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.im x.re))))

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

Outputs
(fma.f64 y.im x.re (*.f64 y.re x.im))
(if (<=.f64 (.f64 x.re y.im) #s(literal -2486616182048933/62165404551223330269422781018352605012557018849668464680057997111644937126566671941632 binary64)) #s(approx (+ ( x.re y.im) (* x.im y.re)) (.f64 y.im x.re)) (if (<=.f64 (.f64 x.re y.im) #s(literal 10000000000000000000000 binary64)) #s(approx (+ (* x.re y.im) (* x.im y.re)) (.f64 y.re x.im)) #s(approx (+ ( x.re y.im) (* x.im y.re)) (*.f64 y.im x.re))))
(if (or (<=.f64 (.f64 x.re y.im) #s(literal -2486616182048933/62165404551223330269422781018352605012557018849668464680057997111644937126566671941632 binary64)) (not (<=.f64 (.f64 x.re y.im) #s(literal 10000000000000000000000 binary64)))) #s(approx (+ (* x.re y.im) (* x.im y.re)) (.f64 y.im x.re)) #s(approx (+ ( x.re y.im) (* x.im y.re)) (*.f64 y.re x.im)))
#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.im x.re))

derivations70.0ms (3.7%)

Memory

-11.1MiB live, 85.2MiB allocated; 5ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 52 to 20 computations (61.5% saved)

preprocess18.0ms (1%)

Memory

42.0MiB live, 42.0MiB allocated; 0ms collecting garbage

Remove

(sort x.im y.re)

(sort x.re y.im)

Compiler

Compiled 142 to 78 computations (45.1% saved)

end0.0ms (0%)

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

Iter	Nodes	Cost
0	37	109
1	77	105
2	147	105
3	225	105
4	244	105
5	250	105
0	7	7
0	10	7
1	16	7
2	30	7
3	50	7
4	71	7
5	75	7
6	78	7
0	78	6

Iter	Nodes	Cost
0	37	109
1	77	105
2	147	105
3	225	105
4	244	105
5	250	105
0	7	7
0	10	7
1	16	7
2	30	7
3	50	7
4	71	7
5	75	7
6	78	7
0	78	6

start0.0ms (0%)

analyze0.0ms (0%)

sample1.3s (69.5%)

explain70.0ms (3.7%)

preprocess22.0ms (1.2%)

eval0.0ms (0%)

prune0.0ms (0%)

series11.0ms (0.6%)

rewrite152.0ms (8.1%)

eval6.0ms (0.3%)

prune2.0ms (0.1%)

series6.0ms (0.3%)

rewrite155.0ms (8.3%)

eval7.0ms (0.4%)

prune8.0ms (0.4%)

regimes13.0ms (0.7%)

regimes10.0ms (0.5%)

regimes8.0ms (0.4%)

bsearch1.0ms (0%)

simplify12.0ms (0.6%)

derivations70.0ms (3.7%)

preprocess18.0ms (1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	37	109
1	77	105
2	147	105
3	225	105
4	244	105
5	250	105
0	7	7
0	10	7
1	16	7
2	30	7
3	50	7
4	71	7
5	75	7
6	78	7
0	78	6