Metrics for _multiplyComplex, imaginary part

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.8MiB live, 0.8MiB 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)

sample793.0ms (58%)

Memory

-7.5MiB live, 1 257.8MiB allocated; 236ms collecting garbage

Samples

516.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 209.0ms

ival-mult: 155.0ms (74% of total)

ival-add: 50.0ms (23.9% of total)

ival-assert: 3.0ms (1.4% of total)

adjust: 2.0ms (1% of total)

Bogosity

explain63.0ms (4.6%)

Memory

40.2MiB live, 86.8MiB allocated; 3ms collecting garbage

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))`	nan-rescue	2	0
↳	`(*.f64 x.re y.im)`	overflow	39
↳	`(*.f64 x.im y.re)`	overflow	36

Confusion

	Predicted +	Predicted -
+	2	0
-	0	254

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	2	0	0
-	0	0	254

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	254
1	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

28.0ms

512×

valid

Compiler

Compiled 45 to 25 computations (44.4% saved)

Precisions

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

ival-mult: 7.0ms (69.8% of total)

ival-add: 2.0ms (19.9% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess20.0ms (1.4%)

Memory

-22.3MiB live, 24.2MiB allocated; 3ms 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	7

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))
(+.f64 (.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

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))

Compiler

Compiled 7 to 7 computations (0% saved)

series9.0ms (0.6%)

Memory

11.8MiB live, 11.8MiB allocated; 0ms 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
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)
1.0ms	x.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)

rewrite141.0ms (10.4%)

Memory

-32.0MiB live, 115.8MiB allocated; 48ms 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	216

Stop Event

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

Counts

24 → 61

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

eval35.0ms (2.5%)

Memory

-1.1MiB live, 44.6MiB allocated; 3ms collecting garbage

Samples

14.0ms	368×	0	valid
6.0ms	144×	0	invalid

Compiler

Compiled 1 351 to 166 computations (87.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 4.0ms (42.2% of total)

ival-div: 3.0ms (31.6% of total)

ival-add: 2.0ms (21.1% of total)

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

adjust: 0.0ms (0% of total)

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

prune3.0ms (0.2%)

Memory

5.7MiB live, 5.7MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	54	3	57
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	54	4	58

Accuracy

100.0%

Counts

58 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))
▶	91.1%	#s(approx (+ (* x.re y.im) (* x.im y.re)) (.f64 (+.f64 (/.f64 (.f64 y.im x.re) y.re) x.im) y.re))
▶	48.1%	#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.re x.im))
▶	56.0%	#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.im x.re))

Compiler

Compiled 46 to 37 computations (19.6% saved)

series15.0ms (1.1%)

Memory

21.3MiB live, 21.3MiB allocated; 0ms collecting garbage

Counts

12 → 39

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

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	y.re	@	0	((+ (* 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 (+ (* x.re y.im) (* x.im y.re)) (* (+ (/ (* y.im x.re) y.re) x.im) y.re) (+ (/ (* y.im x.re) y.re) x.im) (/ (* y.im x.re) y.re))
2.0ms	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 (+ (* x.re y.im) (* x.im y.re)) (* (+ (/ (* y.im x.re) y.re) x.im) y.re) (+ (/ (* y.im x.re) y.re) x.im) (/ (* y.im x.re) y.re))
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 (+ (* x.re y.im) (* x.im y.re)) (* (+ (/ (* y.im x.re) y.re) x.im) y.re) (+ (/ (* y.im x.re) y.re) x.im) (/ (* y.im x.re) y.re))
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 (+ (* x.re y.im) (* x.im y.re)) (* (+ (/ (* y.im x.re) y.re) x.im) y.re) (+ (/ (* y.im x.re) y.re) x.im) (/ (* y.im x.re) y.re))
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 (+ (* x.re y.im) (* x.im y.re)) (* (+ (/ (* y.im x.re) y.re) x.im) y.re) (+ (/ (* y.im x.re) y.re) x.im) (/ (* y.im x.re) y.re))

rewrite128.0ms (9.4%)

Memory

-26.7MiB live, 117.0MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	120	699
0	128	661
1	577	653
2	4588	653
0	8217	653

Stop Event

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

Counts

51 → 96

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

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
#s(approx (+ (* x.re y.im) (* x.im y.re)) (.f64 (+.f64 (/.f64 (.f64 y.im x.re) y.re) x.im) y.re))
(.f64 (+.f64 (/.f64 (.f64 y.im x.re) y.re) x.im) y.re)
(.f64 y.re (+.f64 (/.f64 (.f64 y.im x.re) y.re) x.im))
(/.f64 (.f64 (-.f64 (ratio-of-squares.f64 (.f64 y.im x.re) y.re) (.f64 x.im x.im)) y.re) (-.f64 (/.f64 (.f64 y.im x.re) y.re) x.im))
(/.f64 (.f64 (-.f64 (.f64 x.im x.im) (ratio-of-squares.f64 (.f64 y.im x.re) y.re)) y.re) (-.f64 x.im (/.f64 (.f64 y.im x.re) y.re)))
(/.f64 (.f64 (+.f64 (pow.f64 (/.f64 (.f64 y.im x.re) y.re) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) y.re) (+.f64 (.f64 x.im (-.f64 x.im (/.f64 (.f64 y.im x.re) y.re))) (ratio-of-squares.f64 (*.f64 y.im x.re) y.re)))
(/.f64 (.f64 (+.f64 (pow.f64 (/.f64 (.f64 y.im x.re) y.re) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) y.re) (+.f64 (.f64 (/.f64 (.f64 y.im x.re) y.re) (-.f64 (/.f64 (.f64 y.im x.re) y.re) x.im)) (.f64 x.im x.im)))
(/.f64 (.f64 y.re (-.f64 (ratio-of-squares.f64 (.f64 y.im x.re) y.re) (.f64 x.im x.im))) (-.f64 (/.f64 (.f64 y.im x.re) y.re) x.im))
(/.f64 (.f64 y.re (-.f64 (.f64 x.im x.im) (ratio-of-squares.f64 (.f64 y.im x.re) y.re))) (-.f64 x.im (/.f64 (.f64 y.im x.re) y.re)))
(/.f64 (.f64 y.re (+.f64 (pow.f64 (/.f64 (.f64 y.im x.re) y.re) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))) (+.f64 (.f64 x.im (-.f64 x.im (/.f64 (.f64 y.im x.re) y.re))) (ratio-of-squares.f64 (*.f64 y.im x.re) y.re)))
(/.f64 (.f64 y.re (+.f64 (pow.f64 (/.f64 (.f64 y.im x.re) y.re) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))) (+.f64 (.f64 (/.f64 (.f64 y.im x.re) y.re) (-.f64 (/.f64 (.f64 y.im x.re) y.re) x.im)) (.f64 x.im x.im)))
(/.f64 (-.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (pow.f64 (.f64 (/.f64 (.f64 y.im x.re) y.re) y.re) #s(literal 2 binary64))) (-.f64 (.f64 y.re x.im) (.f64 (/.f64 (.f64 y.im x.re) y.re) y.re)))
(/.f64 (+.f64 (pow.f64 (.f64 y.re x.im) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (.f64 y.im x.re) y.re) y.re) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (/.f64 (.f64 y.im x.re) y.re) y.re) #s(literal 2 binary64)) (.f64 (.f64 y.re x.im) (.f64 (/.f64 (.f64 y.im x.re) y.re) y.re)))))
(-.f64 (.f64 y.re x.im) (.f64 (*.f64 (/.f64 (neg.f64 y.im) y.re) x.re) y.re))
(+.f64 (.f64 (/.f64 (.f64 y.im x.re) y.re) y.re) (*.f64 y.re x.im))
(+.f64 (.f64 y.re x.im) (.f64 (/.f64 (*.f64 y.im x.re) y.re) y.re))
(/.f64 (neg.f64 (-.f64 (ratio-of-squares.f64 (.f64 y.im x.re) y.re) (.f64 x.im x.im))) (neg.f64 (-.f64 (/.f64 (*.f64 y.im x.re) y.re) x.im)))
(/.f64 (neg.f64 (-.f64 (.f64 x.im x.im) (ratio-of-squares.f64 (.f64 y.im x.re) y.re))) (neg.f64 (-.f64 x.im (/.f64 (*.f64 y.im x.re) y.re))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (.f64 y.im x.re) y.re) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))) (neg.f64 (+.f64 (.f64 x.im (-.f64 x.im (/.f64 (.f64 y.im x.re) y.re))) (ratio-of-squares.f64 (.f64 y.im x.re) y.re))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (.f64 y.im x.re) y.re) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))) (neg.f64 (+.f64 (.f64 (/.f64 (.f64 y.im x.re) y.re) (-.f64 (/.f64 (.f64 y.im x.re) y.re) x.im)) (*.f64 x.im x.im))))
(/.f64 (-.f64 (ratio-of-squares.f64 (.f64 y.im x.re) y.re) (.f64 x.im x.im)) (-.f64 (/.f64 (*.f64 y.im x.re) y.re) x.im))
(/.f64 (-.f64 (.f64 x.im x.im) (ratio-of-squares.f64 (.f64 y.im x.re) y.re)) (-.f64 x.im (/.f64 (*.f64 y.im x.re) y.re)))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 y.im x.re) y.re) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (+.f64 (.f64 x.im (-.f64 x.im (/.f64 (.f64 y.im x.re) y.re))) (ratio-of-squares.f64 (.f64 y.im x.re) y.re)))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 y.im x.re) y.re) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (.f64 y.im x.re) y.re) (-.f64 (/.f64 (.f64 y.im x.re) y.re) x.im)) (*.f64 x.im x.im)))
(-.f64 (/.f64 (ratio-of-squares.f64 (.f64 y.im x.re) y.re) (-.f64 (/.f64 (.f64 y.im x.re) y.re) x.im)) (/.f64 (.f64 x.im x.im) (-.f64 (/.f64 (.f64 y.im x.re) y.re) x.im)))
(-.f64 (ratio-square-sum.f64 x.im (.f64 (/.f64 (neg.f64 y.im) y.re) x.re)) (/.f64 (ratio-of-squares.f64 (.f64 y.im x.re) y.re) (-.f64 x.im (/.f64 (*.f64 y.im x.re) y.re))))
(-.f64 x.im (*.f64 (/.f64 (neg.f64 y.im) y.re) x.re))
(+.f64 (/.f64 (pow.f64 (/.f64 (.f64 y.im x.re) y.re) #s(literal 3 binary64)) (+.f64 (.f64 x.im (-.f64 x.im (/.f64 (.f64 y.im x.re) y.re))) (ratio-of-squares.f64 (.f64 y.im x.re) y.re))) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 (.f64 x.im (-.f64 x.im (/.f64 (.f64 y.im x.re) y.re))) (ratio-of-squares.f64 (*.f64 y.im x.re) y.re))))
(+.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 (.f64 (/.f64 (.f64 y.im x.re) y.re) (-.f64 (/.f64 (.f64 y.im x.re) y.re) x.im)) (.f64 x.im x.im))) (/.f64 (pow.f64 (/.f64 (.f64 y.im x.re) y.re) #s(literal 3 binary64)) (+.f64 (.f64 (/.f64 (.f64 y.im x.re) y.re) (-.f64 (/.f64 (.f64 y.im x.re) y.re) x.im)) (*.f64 x.im x.im))))
(+.f64 (/.f64 (*.f64 y.im x.re) y.re) x.im)
(+.f64 x.im (/.f64 (*.f64 y.im x.re) y.re))
(.f64 (.f64 #s(literal 1 binary64) x.re) (/.f64 y.im y.re))
(.f64 (.f64 #s(literal 1 binary64) y.im) (/.f64 x.re y.re))
(*.f64 (/.f64 x.re y.re) y.im)
(.f64 #s(literal 1 binary64) (/.f64 (.f64 y.im x.re) y.re))
(*.f64 (/.f64 y.im y.re) x.re)
(.f64 (/.f64 (.f64 y.im x.re) y.re) #s(literal 1 binary64))
(*.f64 y.im (/.f64 x.re y.re))
(*.f64 x.re (/.f64 y.im y.re))
(/.f64 (/.f64 (*.f64 (neg.f64 x.re) y.im) #s(literal -1 binary64)) y.re)
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (neg.f64 x.re) y.im)) (neg.f64 y.re))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 y.im x.re)) y.re)
(/.f64 (neg.f64 (*.f64 (neg.f64 x.re) y.im)) (neg.f64 (neg.f64 y.re)))
(/.f64 (*.f64 (neg.f64 x.re) y.im) (neg.f64 y.re))
(/.f64 (*.f64 (/.f64 (neg.f64 y.im) y.re) x.re) #s(literal -1 binary64))
(/.f64 (*.f64 y.im x.re) y.re)
(neg.f64 (*.f64 (/.f64 (neg.f64 y.im) y.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)) (+.f64 (.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 (* (+ (/ (* y.im x.re) y.re) x.im) y.re) (*.f64 y.re x.im))
#s(approx (* (+ (/ (* y.im x.re) y.re) x.im) y.re) (+.f64 (.f64 y.re x.im) (.f64 y.im x.re)))
#s(approx (+ (/ (* y.im x.re) y.re) x.im) x.im)
#s(approx (+ (/ (* y.im x.re) y.re) x.im) (+.f64 (/.f64 (*.f64 y.im x.re) y.re) x.im))
#s(approx (/ (* y.im x.re) y.re) (/.f64 (*.f64 y.im x.re) y.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 (+.f64 (/.f64 (.f64 y.re x.im) x.re) y.im) x.re))
#s(approx (* (+ (/ (* y.im x.re) y.re) x.im) y.re) (*.f64 y.im x.re))
#s(approx (* (+ (/ (* y.im x.re) y.re) x.im) y.re) (.f64 (+.f64 (/.f64 (.f64 y.re x.im) x.re) y.im) x.re))
#s(approx (+ (/ (* y.im x.re) y.re) x.im) (/.f64 (*.f64 y.im x.re) y.re))
#s(approx (+ (/ (* y.im x.re) y.re) x.im) (*.f64 (+.f64 (/.f64 y.im y.re) (/.f64 x.im x.re)) x.re))
#s(approx (+ (* x.re y.im) (* x.im y.re)) (.f64 (neg.f64 x.re) (neg.f64 (+.f64 (/.f64 (.f64 y.re x.im) x.re) y.im))))
#s(approx (* (+ (/ (* y.im x.re) y.re) x.im) y.re) (.f64 (neg.f64 x.re) (neg.f64 (+.f64 (/.f64 (.f64 y.re x.im) x.re) y.im))))
#s(approx (+ (/ (* y.im x.re) y.re) x.im) (*.f64 (+.f64 (/.f64 y.im y.re) (/.f64 x.im x.re)) 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 (+.f64 (/.f64 (.f64 y.im x.re) x.im) y.re) x.im))
#s(approx (* (+ (/ (* y.im x.re) y.re) x.im) y.re) (.f64 (+.f64 (/.f64 (.f64 y.im x.re) x.im) y.re) x.im))
#s(approx (+ (/ (* y.im x.re) y.re) x.im) (.f64 (-.f64 (/.f64 (/.f64 (.f64 y.im x.re) x.im) y.re) #s(literal -1 binary64)) x.im))
#s(approx (+ (* x.re y.im) (* x.im y.re)) (.f64 (neg.f64 x.im) (neg.f64 (+.f64 (/.f64 (.f64 y.im x.re) x.im) y.re))))
#s(approx (* (+ (/ (* y.im x.re) y.re) x.im) y.re) (.f64 (neg.f64 x.im) (neg.f64 (+.f64 (/.f64 (.f64 y.im x.re) x.im) y.re))))
#s(approx (+ (/ (* y.im x.re) y.re) x.im) (.f64 (neg.f64 x.im) (-.f64 (.f64 (/.f64 x.re x.im) (/.f64 (neg.f64 y.im) y.re)) #s(literal 1 binary64))))
#s(approx y.re y.re)
#s(approx (+ (/ (* y.im x.re) y.re) x.im) (/.f64 (+.f64 (.f64 y.re x.im) (.f64 y.im x.re)) y.re))
#s(approx (+ (* x.re y.im) (* x.im y.re)) (.f64 (+.f64 (/.f64 (.f64 y.im x.re) y.re) x.im) y.re))
#s(approx (* (+ (/ (* y.im x.re) y.re) x.im) y.re) (.f64 (+.f64 (/.f64 (.f64 y.im x.re) y.re) x.im) y.re))
#s(approx (+ (* x.re y.im) (* x.im y.re)) (.f64 (-.f64 (.f64 (/.f64 (neg.f64 y.im) y.re) x.re) x.im) (neg.f64 y.re)))
#s(approx (* (+ (/ (* y.im x.re) y.re) x.im) y.re) (.f64 (-.f64 (.f64 (/.f64 (neg.f64 y.im) y.re) x.re) x.im) (neg.f64 y.re)))
#s(approx y.im y.im)
#s(approx (+ (* x.re y.im) (* x.im y.re)) (.f64 (+.f64 (/.f64 (.f64 y.re x.im) y.im) x.re) y.im))
#s(approx (* (+ (/ (* y.im x.re) y.re) x.im) y.re) (.f64 (+.f64 (/.f64 (.f64 y.re x.im) y.im) x.re) y.im))
#s(approx (+ (/ (* y.im x.re) y.re) x.im) (*.f64 (+.f64 (/.f64 x.re y.re) (/.f64 x.im y.im)) y.im))
#s(approx (+ (* x.re y.im) (* x.im y.re)) (.f64 (neg.f64 (+.f64 (/.f64 (.f64 y.re x.im) y.im) x.re)) (neg.f64 y.im)))
#s(approx (* (+ (/ (* y.im x.re) y.re) x.im) y.re) (.f64 (neg.f64 (+.f64 (/.f64 (.f64 y.re x.im) y.im) x.re)) (neg.f64 y.im)))
#s(approx (+ (/ (* y.im x.re) y.re) x.im) (*.f64 (+.f64 (/.f64 x.re y.re) (/.f64 x.im y.im)) y.im))

eval40.0ms (2.9%)

Memory

7.5MiB live, 53.2MiB allocated; 4ms collecting garbage

Samples

19.0ms	410×	0	valid
4.0ms	102×	0	invalid

Compiler

Compiled 2 343 to 351 computations (85% saved)

Precisions

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

ival-mult: 7.0ms (57.3% of total)

ival-div: 3.0ms (24.5% of total)

ival-add: 1.0ms (8.2% of total)

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

adjust: 0.0ms (0% of total)

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

prune5.0ms (0.4%)

Memory

10.6MiB live, 10.6MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	104	4	108

Accuracy

100.0%

Counts

108 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))
✓	91.1%	#s(approx (+ (* x.re y.im) (* x.im y.re)) (.f64 (+.f64 (/.f64 (.f64 y.im x.re) y.re) x.im) y.re))
✓	48.1%	#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.re x.im))
✓	56.0%	#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.im x.re))

Compiler

Compiled 92 to 55 computations (40.2% saved)

regimes13.0ms (0.9%)

Memory

22.9MiB live, 22.9MiB 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))
(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))
#s(approx (+ (* x.re y.im) (* x.im y.re)) (.f64 (+.f64 (/.f64 (.f64 y.im x.re) y.re) x.im) y.re))

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

Calls

7 calls:

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

Results

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

Compiler

Compiled 17 to 33 computations (-94.1% saved)

regimes16.0ms (1.2%)

Memory

-30.6MiB live, 20.7MiB allocated; 5ms 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.re x.im))
#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.im x.re))
#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.re x.im))

Calls

7 calls:

8.0ms	x.im
1.0ms	x.re
1.0ms	y.im
1.0ms	(*.f64 x.re y.im)
1.0ms	y.re

Results

Accuracy	Segments	Branch
80.3%	3	`(*.f64 x.im y.re)`
78.9%	3	`(*.f64 x.re y.im)`
58.7%	2	`(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))`
72.7%	3	`x.re`
75.7%	3	`x.im`
78.0%	3	`y.re`
72.3%	3	`y.im`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

regimes7.0ms (0.5%)

Memory

16.7MiB live, 16.7MiB 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.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:

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

Results

Accuracy	Segments	Branch
56.0%	1	`(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))`
56.0%	1	`y.im`
56.0%	1	`x.re`
56.0%	1	`x.im`
56.0%	1	`y.re`
56.0%	1	`(*.f64 x.re y.im)`
56.0%	1	`(*.f64 x.im y.re)`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	9.431632109496427e+20	4.2218965767623606e+23
0.0ms	-519029965751630.6	-169175609085303.72

Compiler

Compiled 10 to 14 computations (-40% saved)

simplify10.0ms (0.8%)

Memory

14.6MiB live, 14.6MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	53
1	29	53
2	43	53
3	63	53
4	84	53
5	88	53
6	91	53

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 (*.f64 x.im y.re) #s(literal -500000000000000 binary64)) #s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.re x.im)) (if (<=.f64 (*.f64 x.im y.re) #s(literal 1000000000000000000000 binary64)) #s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.im x.re)) #s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.re x.im))))

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

Outputs
(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))
(if (<=.f64 (.f64 x.im y.re) #s(literal -500000000000000 binary64)) #s(approx (+ ( x.re y.im) (* x.im y.re)) (.f64 y.re x.im)) (if (<=.f64 (.f64 x.im y.re) #s(literal 1000000000000000000000 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))))
(if (or (<=.f64 (.f64 x.im y.re) #s(literal -500000000000000 binary64)) (not (<=.f64 (.f64 x.im y.re) #s(literal 1000000000000000000000 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))

derivations46.0ms (3.3%)

Memory

-22.4MiB live, 24.4MiB allocated; 3ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 53 to 21 computations (60.4% saved)

preprocess22.0ms (1.6%)

Memory

-11.1MiB live, 35.1MiB allocated; 3ms collecting garbage

Remove

(sort x.im y.re)

(sort x.re y.im)

Compiler

Compiled 176 to 112 computations (36.4% 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	7

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	7

start0.0ms (0%)

analyze0.0ms (0%)

sample793.0ms (58%)

explain63.0ms (4.6%)

preprocess20.0ms (1.4%)

eval0.0ms (0%)

prune0.0ms (0%)

series9.0ms (0.6%)

rewrite141.0ms (10.4%)

eval35.0ms (2.5%)

prune3.0ms (0.2%)

series15.0ms (1.1%)

rewrite128.0ms (9.4%)

eval40.0ms (2.9%)

prune5.0ms (0.4%)

regimes13.0ms (0.9%)

regimes16.0ms (1.2%)

regimes7.0ms (0.5%)

bsearch1.0ms (0%)

simplify10.0ms (0.8%)

derivations46.0ms (3.3%)

preprocess22.0ms (1.6%)

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	7