Metrics for _multiplyComplex, real part

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

1.2MiB live, 1.2MiB 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)

sample679.0ms (21.2%)

Memory

58.2MiB live, 1 023.1MiB allocated; 265ms collecting garbage

Samples

392.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 114.0ms

ival-mult!: 93.0ms (81.3% of total)

ival-sub!: 20.0ms (17.5% of total)

adjust: 1.0ms (0.9% of total)

Bogosity

preprocess24.0ms (0.8%)

Memory

-17.2MiB live, 27.0MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	109
1	106	109
2	216	109
3	355	109
4	356	109

Stop Event

1×

saturated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))

Symmetry

(sort x.re y.re)

(sort x.im y.im)

Compiler

Compiled 14 to 14 computations (0% saved)

series12.0ms (0.4%)

Memory

14.4MiB live, 14.4MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	228

Stop Event

1×	iter-limit

Counts

7 → 17

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

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	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	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)
1.0ms	x.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)

rewrite1.3s (40%)

Memory

-55.2MiB live, 161.9MiB allocated; 130ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
0	10	17
1	36	17
2	101	17
3	239	17
4	424	17
5	751	17
6	3431	17
0	8084	17
1	13831	17

Stop Event

1×	saturated
1×	node-limit
1×	iter-limit

Counts

7 → 27

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

eval3.0ms (0.1%)

Memory: 6.5MiB live, 6.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 197 to 106 computations (46.2% saved)

prune2.0ms (0.1%)

Memory

3.9MiB live, 3.9MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	36	2	38
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	36	3	39

Accuracy

100.0%

Counts

39 → 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))
✓	100.0%	(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))
▶	47.3%	#s(approx (- (* x.re y.re) (* x.im y.im)) (.f64 #s(literal -1 binary64) (.f64 x.im y.im)))

Compiler

Compiled 25 to 25 computations (0% saved)

series10.0ms (0.3%)

Memory

16.6MiB live, 16.6MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	316

Stop Event

1×	iter-limit

Counts

11 → 22

Calls

Call 1

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

Outputs
#s(approx (- (* x.re y.re) (* x.im y.im)) (.f64 #s(literal -1 binary64) (.f64 x.im y.im)))
#s(approx (- (* x.re y.re) (* x.im y.im)) (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)))
#s(approx (+ (* y.re x.re) (* (neg x.im) y.im)) (fma.f64 #s(literal -1 binary64) (.f64 x.im y.im) (.f64 x.re y.re)))
#s(approx x.re x.re)
#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 x.re y.re))
#s(approx (- (* x.re y.re) (* x.im y.im)) (.f64 x.re (+.f64 y.re (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) x.re)))))
#s(approx (- (* x.re y.re) (* x.im y.im)) (.f64 #s(literal -1 binary64) (.f64 x.re (fma.f64 #s(literal -1 binary64) y.re (/.f64 (*.f64 x.im y.im) x.re)))))
#s(approx (* x.im y.im) (*.f64 x.im y.im))
#s(approx x.im x.im)
#s(approx (neg x.im) (*.f64 #s(literal -1 binary64) x.im))
#s(approx (- (* x.re y.re) (* x.im y.im)) (.f64 x.im (-.f64 (/.f64 (.f64 x.re y.re) x.im) y.im)))
#s(approx (+ (* y.re x.re) (* (neg x.im) y.im)) (.f64 x.im (fma.f64 #s(literal -1 binary64) y.im (/.f64 (.f64 x.re y.re) x.im))))
#s(approx (- (* x.re y.re) (* x.im y.im)) (.f64 #s(literal -1 binary64) (.f64 x.im (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.re) x.im)) (*.f64 #s(literal -1 binary64) y.im)))))
#s(approx (+ (* y.re x.re) (* (neg x.im) y.im)) (.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 y.im (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.re) x.im))))))
#s(approx y.re y.re)
#s(approx (- (* x.re y.re) (* x.im y.im)) (.f64 y.re (+.f64 x.re (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re)))))
#s(approx (- (* x.re y.re) (* x.im y.im)) (.f64 #s(literal -1 binary64) (.f64 y.re (fma.f64 #s(literal -1 binary64) x.re (/.f64 (*.f64 x.im y.im) y.re)))))
#s(approx y.im y.im)
#s(approx (- (* x.re y.re) (* x.im y.im)) (.f64 y.im (-.f64 (/.f64 (.f64 x.re y.re) y.im) x.im)))
#s(approx (+ (* y.re x.re) (* (neg x.im) y.im)) (.f64 y.im (fma.f64 #s(literal -1 binary64) x.im (/.f64 (.f64 x.re y.re) y.im))))
#s(approx (- (* x.re y.re) (* x.im y.im)) (.f64 #s(literal -1 binary64) (.f64 y.im (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.re) y.im)) (*.f64 #s(literal -1 binary64) x.im)))))
#s(approx (+ (* y.re x.re) (* (neg x.im) y.im)) (.f64 #s(literal -1 binary64) (.f64 y.im (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (.f64 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)) (* -1 (* x.im y.im)) -1 (* x.im y.im) x.im y.im (+ (* y.re x.re) (* (neg x.im) y.im)) y.re x.re (* (neg x.im) y.im) (neg x.im))
1.0ms	x.im	@	inf	((- (* x.re y.re) (* x.im y.im)) (* -1 (* x.im y.im)) -1 (* x.im y.im) x.im y.im (+ (* y.re x.re) (* (neg x.im) y.im)) y.re x.re (* (neg x.im) y.im) (neg x.im))
1.0ms	y.im	@	-inf	((- (* x.re y.re) (* x.im y.im)) (* -1 (* x.im y.im)) -1 (* x.im y.im) x.im y.im (+ (* y.re x.re) (* (neg x.im) y.im)) y.re x.re (* (neg x.im) y.im) (neg x.im))
1.0ms	y.im	@	inf	((- (* x.re y.re) (* x.im y.im)) (* -1 (* x.im y.im)) -1 (* x.im y.im) x.im y.im (+ (* y.re x.re) (* (neg x.im) y.im)) y.re x.re (* (neg x.im) y.im) (neg x.im))
1.0ms	x.im	@	0	((- (* x.re y.re) (* x.im y.im)) (* -1 (* x.im y.im)) -1 (* x.im y.im) x.im y.im (+ (* y.re x.re) (* (neg x.im) y.im)) y.re x.re (* (neg x.im) y.im) (neg x.im))

rewrite247.0ms (7.7%)

Memory

12.5MiB live, 159.1MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	39
0	20	37
1	78	37
2	195	37
3	369	37
4	718	37
5	2599	37
0	8087	37
1	13166	37

Stop Event

1×	saturated
1×	node-limit
1×	iter-limit

Counts

11 → 736

Calls

Call 1

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

Outputs
#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 y.im (neg.f64 x.im)))
(.f64 (/.f64 (.f64 (+.f64 y.im y.im) x.im) #s(literal -8 binary64)) #s(literal 4 binary64))
(.f64 (/.f64 (.f64 y.im x.im) #s(literal -2 binary64)) #s(literal 2 binary64))
(.f64 (.f64 #s(literal -2 binary64) (*.f64 y.im x.im)) #s(literal 1/2 binary64))
(.f64 #s(literal -2 binary64) (/.f64 (.f64 y.im x.im) #s(literal 2 binary64)))
(*.f64 y.im (neg.f64 x.im))
(.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 y.im (neg.f64 x.im))))
(.f64 #s(literal 2 binary64) (/.f64 (.f64 y.im x.im) #s(literal -2 binary64)))
(*.f64 (neg.f64 y.im) x.im)
(.f64 (.f64 y.im x.im) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (.f64 y.im (neg.f64 x.im)))
(.f64 (.f64 y.im (neg.f64 x.im)) #s(literal 1 binary64))
(*.f64 (neg.f64 x.im) y.im)
(.f64 #s(literal -1 binary64) (.f64 y.im x.im))
(*.f64 x.im (neg.f64 y.im))
(/.f64 (-.f64 (.f64 (.f64 y.im (neg.f64 x.im)) #s(literal 16 binary64)) #s(literal 0 binary64)) #s(literal 16 binary64))
(/.f64 (-.f64 (.f64 (.f64 y.im (neg.f64 x.im)) #s(literal -4 binary64)) #s(literal 0 binary64)) #s(literal -4 binary64))
(/.f64 (-.f64 (.f64 (.f64 y.im (neg.f64 x.im)) #s(literal -8 binary64)) #s(literal 0 binary64)) #s(literal -8 binary64))
(/.f64 (-.f64 (.f64 (.f64 y.im (neg.f64 x.im)) #s(literal 8 binary64)) #s(literal 0 binary64)) #s(literal 8 binary64))
(/.f64 (-.f64 (.f64 (.f64 y.im (neg.f64 x.im)) #s(literal 4 binary64)) (*.f64 (+.f64 x.im x.im) #s(literal 0 binary64))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 y.im (neg.f64 x.im))) (*.f64 (+.f64 x.im x.im) #s(literal 0 binary64))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (+.f64 y.im y.im) (.f64 #s(literal -2 binary64) x.im)) (*.f64 (+.f64 x.im x.im) #s(literal 0 binary64))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -2 binary64) y.im) (+.f64 x.im x.im)) (*.f64 (+.f64 x.im x.im) #s(literal 0 binary64))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -2 binary64) x.im) (+.f64 y.im y.im)) (*.f64 (+.f64 x.im x.im) #s(literal 0 binary64))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (+.f64 x.im x.im) (.f64 #s(literal -2 binary64) y.im)) (*.f64 (+.f64 x.im x.im) #s(literal 0 binary64))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 y.im y.im) x.im) #s(literal -2 binary64)) (*.f64 (+.f64 x.im x.im) #s(literal 0 binary64))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 #s(literal -2 binary64) (.f64 (+.f64 y.im y.im) x.im)) (*.f64 (+.f64 x.im x.im) #s(literal 0 binary64))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -2 binary64) (.f64 y.im x.im)) #s(literal 2 binary64)) (.f64 (+.f64 x.im x.im) #s(literal 0 binary64))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (.f64 y.im x.im))) (.f64 (+.f64 x.im x.im) #s(literal 0 binary64))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 #s(literal -2 binary64) (.f64 y.im x.im)) (*.f64 (+.f64 x.im x.im) #s(literal 0 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (.f64 y.im (neg.f64 x.im)) #s(literal 4 binary64)) (*.f64 (+.f64 y.im y.im) #s(literal 0 binary64))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 y.im (neg.f64 x.im))) (*.f64 (+.f64 y.im y.im) #s(literal 0 binary64))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (+.f64 y.im y.im) (.f64 #s(literal -2 binary64) x.im)) (*.f64 (+.f64 y.im y.im) #s(literal 0 binary64))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -2 binary64) y.im) (+.f64 x.im x.im)) (*.f64 (+.f64 y.im y.im) #s(literal 0 binary64))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -2 binary64) x.im) (+.f64 y.im y.im)) (*.f64 (+.f64 y.im y.im) #s(literal 0 binary64))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (+.f64 x.im x.im) (.f64 #s(literal -2 binary64) y.im)) (*.f64 (+.f64 y.im y.im) #s(literal 0 binary64))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 y.im y.im) x.im) #s(literal -2 binary64)) (*.f64 (+.f64 y.im y.im) #s(literal 0 binary64))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 #s(literal -2 binary64) (.f64 (+.f64 y.im y.im) x.im)) (*.f64 (+.f64 y.im y.im) #s(literal 0 binary64))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -2 binary64) (.f64 y.im x.im)) #s(literal 2 binary64)) (.f64 (+.f64 y.im y.im) #s(literal 0 binary64))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (.f64 y.im x.im))) (.f64 (+.f64 y.im y.im) #s(literal 0 binary64))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 #s(literal -2 binary64) (.f64 y.im x.im)) (*.f64 (+.f64 y.im y.im) #s(literal 0 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (.f64 y.im (neg.f64 x.im)) #s(literal 4 binary64)) (.f64 (.f64 (+.f64 y.im y.im) x.im) #s(literal 0 binary64))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 y.im (neg.f64 x.im))) (.f64 (.f64 (+.f64 y.im y.im) x.im) #s(literal 0 binary64))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (+.f64 y.im y.im) (.f64 #s(literal -2 binary64) x.im)) (.f64 (.f64 (+.f64 y.im y.im) x.im) #s(literal 0 binary64))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -2 binary64) y.im) (+.f64 x.im x.im)) (.f64 (.f64 (+.f64 y.im y.im) x.im) #s(literal 0 binary64))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -2 binary64) x.im) (+.f64 y.im y.im)) (.f64 (.f64 (+.f64 y.im y.im) x.im) #s(literal 0 binary64))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (+.f64 x.im x.im) (.f64 #s(literal -2 binary64) y.im)) (.f64 (.f64 (+.f64 y.im y.im) x.im) #s(literal 0 binary64))) #s(literal 4 binary64))
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(+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 y.im (neg.f64 x.im))) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 y.im (neg.f64 x.im))) #s(literal 1 binary64)))
(+.f64 (/.f64 (.f64 (.f64 y.im x.im) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 (.f64 (.f64 y.im x.im) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 y.im x.im)) #s(literal -1 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 y.im x.im)) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 y.im (neg.f64 x.im)) #s(literal 1/2 binary64)) (.f64 (.f64 y.im (neg.f64 x.im)) #s(literal 1/2 binary64)))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 y.im (neg.f64 x.im))) (.f64 #s(literal 1/2 binary64) (.f64 y.im (neg.f64 x.im))))
(+.f64 (/.f64 (.f64 y.im x.im) #s(literal -2 binary64)) (/.f64 (.f64 y.im x.im) #s(literal -2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 y.im (neg.f64 x.im)))
(+.f64 (*.f64 y.im (neg.f64 x.im)) #s(literal 0 binary64))
(*.f64 (/.f64 (+.f64 x.im x.im) #s(literal -8 binary64)) #s(literal 4 binary64))
(*.f64 (/.f64 x.im #s(literal -2 binary64)) #s(literal 2 binary64))
(.f64 (.f64 #s(literal -2 binary64) x.im) #s(literal 1/2 binary64))
(*.f64 #s(literal -2 binary64) (/.f64 x.im #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (neg.f64 x.im)))
(*.f64 #s(literal 2 binary64) (/.f64 x.im #s(literal -2 binary64)))
(*.f64 #s(literal 1 binary64) (neg.f64 x.im))
(*.f64 (neg.f64 x.im) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) x.im)
(*.f64 x.im #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (neg.f64 x.im) #s(literal 16 binary64)) #s(literal 0 binary64)) #s(literal 16 binary64))
(/.f64 (-.f64 (*.f64 (neg.f64 x.im) #s(literal -4 binary64)) #s(literal 0 binary64)) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 (neg.f64 x.im) #s(literal -8 binary64)) #s(literal 0 binary64)) #s(literal -8 binary64))
(/.f64 (-.f64 (*.f64 (neg.f64 x.im) #s(literal 8 binary64)) #s(literal 0 binary64)) #s(literal 8 binary64))
(/.f64 (-.f64 (.f64 (neg.f64 x.im) #s(literal 4 binary64)) (.f64 (+.f64 x.im x.im) #s(literal 0 binary64))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 #s(literal 4 binary64) (neg.f64 x.im)) (.f64 (+.f64 x.im x.im) #s(literal 0 binary64))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) x.im)) (*.f64 (+.f64 x.im x.im) #s(literal 0 binary64))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -2 binary64) x.im) #s(literal 2 binary64)) (*.f64 (+.f64 x.im x.im) #s(literal 0 binary64))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 #s(literal -2 binary64) (+.f64 x.im x.im)) (.f64 (+.f64 x.im x.im) #s(literal 0 binary64))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (+.f64 x.im x.im) #s(literal -2 binary64)) (.f64 (+.f64 x.im x.im) #s(literal 0 binary64))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 #s(literal -2 binary64) x.im) (.f64 (+.f64 x.im x.im) #s(literal 0 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (neg.f64 x.im) #s(literal 4 binary64)) (.f64 (+.f64 y.im y.im) #s(literal 0 binary64))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 #s(literal 4 binary64) (neg.f64 x.im)) (.f64 (+.f64 y.im y.im) #s(literal 0 binary64))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) x.im)) (*.f64 (+.f64 y.im y.im) #s(literal 0 binary64))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -2 binary64) x.im) #s(literal 2 binary64)) (*.f64 (+.f64 y.im y.im) #s(literal 0 binary64))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 #s(literal -2 binary64) (+.f64 x.im x.im)) (.f64 (+.f64 y.im y.im) #s(literal 0 binary64))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (+.f64 x.im x.im) #s(literal -2 binary64)) (.f64 (+.f64 y.im y.im) #s(literal 0 binary64))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 #s(literal -2 binary64) x.im) (.f64 (+.f64 y.im y.im) #s(literal 0 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (neg.f64 x.im) #s(literal 4 binary64)) (.f64 (*.f64 (+.f64 y.im y.im) x.im) #s(literal 0 binary64))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 #s(literal 4 binary64) (neg.f64 x.im)) (.f64 (*.f64 (+.f64 y.im y.im) x.im) #s(literal 0 binary64))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) x.im)) (.f64 (.f64 (+.f64 y.im y.im) x.im) #s(literal 0 binary64))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -2 binary64) x.im) #s(literal 2 binary64)) (.f64 (.f64 (+.f64 y.im y.im) x.im) #s(literal 0 binary64))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 #s(literal -2 binary64) (+.f64 x.im x.im)) (.f64 (*.f64 (+.f64 y.im y.im) x.im) #s(literal 0 binary64))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (+.f64 x.im x.im) #s(literal -2 binary64)) (.f64 (*.f64 (+.f64 y.im y.im) x.im) #s(literal 0 binary64))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 #s(literal -2 binary64) x.im) (.f64 (*.f64 (+.f64 y.im y.im) x.im) #s(literal 0 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (neg.f64 x.im) #s(literal 4 binary64)) (.f64 (*.f64 #s(literal -2 binary64) x.im) #s(literal 0 binary64))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 #s(literal 4 binary64) (neg.f64 x.im)) (.f64 (*.f64 #s(literal -2 binary64) x.im) #s(literal 0 binary64))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) x.im)) (.f64 (.f64 #s(literal -2 binary64) x.im) #s(literal 0 binary64))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -2 binary64) x.im) #s(literal 2 binary64)) (.f64 (.f64 #s(literal -2 binary64) x.im) #s(literal 0 binary64))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 #s(literal -2 binary64) (+.f64 x.im x.im)) (.f64 (*.f64 #s(literal -2 binary64) x.im) #s(literal 0 binary64))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (+.f64 x.im x.im) #s(literal -2 binary64)) (.f64 (*.f64 #s(literal -2 binary64) x.im) #s(literal 0 binary64))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 #s(literal -2 binary64) x.im) (.f64 (*.f64 #s(literal -2 binary64) x.im) #s(literal 0 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (neg.f64 x.im) #s(literal 4 binary64)) (.f64 (.f64 #s(literal -2 binary64) (.f64 y.im x.im)) #s(literal 0 binary64))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 #s(literal 4 binary64) (neg.f64 x.im)) (.f64 (.f64 #s(literal -2 binary64) (.f64 y.im x.im)) #s(literal 0 binary64))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) x.im)) (.f64 (.f64 #s(literal -2 binary64) (*.f64 y.im x.im)) #s(literal 0 binary64))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -2 binary64) x.im) #s(literal 2 binary64)) (.f64 (.f64 #s(literal -2 binary64) (*.f64 y.im x.im)) #s(literal 0 binary64))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 #s(literal -2 binary64) (+.f64 x.im x.im)) (.f64 (.f64 #s(literal -2 binary64) (.f64 y.im x.im)) #s(literal 0 binary64))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (+.f64 x.im x.im) #s(literal -2 binary64)) (.f64 (.f64 #s(literal -2 binary64) (.f64 y.im x.im)) #s(literal 0 binary64))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 #s(literal -2 binary64) x.im) (.f64 (.f64 #s(literal -2 binary64) (.f64 y.im x.im)) #s(literal 0 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (neg.f64 x.im) #s(literal 4 binary64)) (.f64 (*.f64 #s(literal -2 binary64) y.im) #s(literal 0 binary64))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 #s(literal 4 binary64) (neg.f64 x.im)) (.f64 (*.f64 #s(literal -2 binary64) y.im) #s(literal 0 binary64))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) x.im)) (.f64 (.f64 #s(literal -2 binary64) y.im) #s(literal 0 binary64))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -2 binary64) x.im) #s(literal 2 binary64)) (.f64 (.f64 #s(literal -2 binary64) y.im) #s(literal 0 binary64))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 #s(literal -2 binary64) (+.f64 x.im x.im)) (.f64 (*.f64 #s(literal -2 binary64) y.im) #s(literal 0 binary64))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (+.f64 x.im x.im) #s(literal -2 binary64)) (.f64 (*.f64 #s(literal -2 binary64) y.im) #s(literal 0 binary64))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 #s(literal -2 binary64) x.im) (.f64 (*.f64 #s(literal -2 binary64) y.im) #s(literal 0 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 #s(literal -2 binary64) (.f64 #s(literal -2 binary64) x.im)) #s(literal 0 binary64)) #s(literal -4 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -2 binary64) x.im) #s(literal -2 binary64)) #s(literal 0 binary64)) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 x.im x.im)) #s(literal 0 binary64)) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 x.im x.im) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal -4 binary64))
(/.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 #s(literal -2 binary64) x.im)) #s(literal 0 binary64)) #s(literal 8 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -2 binary64) x.im) #s(literal 4 binary64)) #s(literal 0 binary64)) #s(literal 8 binary64))
(/.f64 (-.f64 (*.f64 (neg.f64 x.im) #s(literal 4 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (neg.f64 x.im)) #s(literal 0 binary64)) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) x.im)) #s(literal 0 binary64)) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -2 binary64) x.im) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (+.f64 x.im x.im)) #s(literal 0 binary64)) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 x.im x.im) #s(literal -2 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64))
(/.f64 (-.f64 (+.f64 x.im x.im) #s(literal 0 binary64)) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 #s(literal -2 binary64) x.im) #s(literal 0 binary64)) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 x.im) #s(literal 4 binary64))) #s(literal -4 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (neg.f64 x.im))) #s(literal -4 binary64))
(/.f64 (neg.f64 (.f64 #s(literal 4 binary64) (.f64 #s(literal -2 binary64) x.im))) #s(literal -8 binary64))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal -2 binary64) x.im) #s(literal 4 binary64))) #s(literal -8 binary64))
(/.f64 (neg.f64 (.f64 #s(literal -2 binary64) (.f64 #s(literal -2 binary64) x.im))) #s(literal 4 binary64))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) x.im))) #s(literal -4 binary64))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal -2 binary64) x.im) #s(literal -2 binary64))) #s(literal 4 binary64))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal -2 binary64) x.im) #s(literal 2 binary64))) #s(literal -4 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (+.f64 x.im x.im))) #s(literal -4 binary64))
(/.f64 (neg.f64 (*.f64 (+.f64 x.im x.im) #s(literal -2 binary64))) #s(literal -4 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (+.f64 x.im x.im))) #s(literal 4 binary64))
(/.f64 (neg.f64 (*.f64 (+.f64 x.im x.im) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (*.f64 (neg.f64 x.im) #s(literal 4 binary64)) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal 4 binary64) (neg.f64 x.im)) #s(literal 4 binary64))
(/.f64 (.f64 #s(literal -2 binary64) (.f64 #s(literal -2 binary64) x.im)) #s(literal -4 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) x.im)) #s(literal 4 binary64))
(/.f64 (.f64 (.f64 #s(literal -2 binary64) x.im) #s(literal -2 binary64)) #s(literal -4 binary64))
(/.f64 (.f64 (.f64 #s(literal -2 binary64) x.im) #s(literal 2 binary64)) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) (+.f64 x.im x.im)) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 x.im x.im)) #s(literal -4 binary64))
(/.f64 (*.f64 (+.f64 x.im x.im) #s(literal -2 binary64)) #s(literal 4 binary64))
(/.f64 (*.f64 (+.f64 x.im x.im) #s(literal 2 binary64)) #s(literal -4 binary64))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 #s(literal -2 binary64) x.im)) #s(literal 8 binary64))
(/.f64 (.f64 (.f64 #s(literal -2 binary64) x.im) #s(literal 4 binary64)) #s(literal 8 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) x.im) #s(literal 2 binary64))
(/.f64 (+.f64 x.im x.im) #s(literal -2 binary64))
(/.f64 (neg.f64 x.im) #s(literal 1 binary64))
(/.f64 x.im #s(literal -1 binary64))
(neg.f64 x.im)
(fma.f64 (/.f64 (+.f64 x.im x.im) #s(literal -8 binary64)) #s(literal 4 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 x.im #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal -2 binary64) x.im) #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 x.im) (*.f64 #s(literal 1/2 binary64) (neg.f64 x.im)))
(fma.f64 #s(literal -2 binary64) (/.f64 x.im #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (neg.f64 x.im)) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 x.im #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 x.im) #s(literal 0 binary64))
(fma.f64 (neg.f64 x.im) #s(literal 1/2 binary64) (*.f64 (neg.f64 x.im) #s(literal 1/2 binary64)))
(fma.f64 (neg.f64 x.im) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) x.im #s(literal 0 binary64))
(fma.f64 x.im #s(literal -1 binary64) #s(literal 0 binary64))
(-.f64 (neg.f64 x.im) #s(literal 0 binary64))
(+.f64 (/.f64 (.f64 x.im #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 (.f64 x.im #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x.im) #s(literal -1 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) x.im) #s(literal -1 binary64)))
(+.f64 (/.f64 (.f64 (neg.f64 x.im) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (.f64 (neg.f64 x.im) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 x.im)) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 x.im)) #s(literal 1 binary64)))
(+.f64 (.f64 (neg.f64 x.im) #s(literal 1/2 binary64)) (.f64 (neg.f64 x.im) #s(literal 1/2 binary64)))
(+.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 x.im)) (.f64 #s(literal 1/2 binary64) (neg.f64 x.im)))
(+.f64 (/.f64 x.im #s(literal -2 binary64)) (/.f64 x.im #s(literal -2 binary64)))
(+.f64 #s(literal 0 binary64) (neg.f64 x.im))
(+.f64 (neg.f64 x.im) #s(literal 0 binary64))

eval83.0ms (2.6%)

Memory: 3.0MiB live, 143.6MiB allocated; 16ms collecting garbage
Compiler: Compiled 3 863 to 1 828 computations (52.7% saved)

prune12.0ms (0.4%)

Memory

-21.0MiB live, 24.9MiB allocated; 5ms collecting garbage

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	585	2	587
Fresh	0	0	0
Picked	1	1	2
Done	0	1	1
Total	586	4	590

Accuracy

100.0%

Counts

590 → 4

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))
✓	100.0%	(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))
▶	47.3%	#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 y.im) x.im))
▶	57.9%	#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 x.re y.re))

Compiler

Compiled 33 to 33 computations (0% saved)

series9.0ms (0.3%)

Memory

19.0MiB live, 19.0MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	227

Stop Event

1×	iter-limit

Counts

9 → 17

Calls

Call 1

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

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

Calls

12 calls:

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

rewrite303.0ms (9.4%)

Memory

-10.7MiB live, 222.4MiB allocated; 29ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	36
0	15	36
1	44	36
2	110	36
3	302	36
4	474	36
5	801	36
6	3481	36
0	8134	36
1	13881	36

Stop Event

1×	saturated
1×	node-limit
1×	iter-limit

Counts

9 → 17

Calls

Call 1

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

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

eval2.0ms (0.1%)

Memory: 3.7MiB live, 3.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 159 to 95 computations (40.3% saved)

prune3.0ms (0.1%)

Memory

3.6MiB live, 3.6MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	26	0	26
Fresh	0	0	0
Picked	0	2	2
Done	0	2	2
Total	26	4	30

Accuracy

100.0%

Counts

30 → 4

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))
✓	100.0%	(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))
✓	47.3%	#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 y.im) x.im))
✓	57.9%	#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 x.re y.re))

Compiler

Compiled 58 to 53 computations (8.6% saved)

regimes395.0ms (12.3%)

Memory

-30.3MiB live, 24.0MiB allocated; 29ms collecting garbage

Counts

5 → 1

Calls

Call 1

Inputs
#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 x.re y.re))
#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 y.im) x.im))
#s(approx (- (* x.re y.re) (* x.im y.im)) (.f64 #s(literal -1 binary64) (.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:

383.0ms	(*.f64 x.im y.im)
2.0ms	x.re
2.0ms	y.re
2.0ms	y.im
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 (0.4%)

Memory

19.3MiB live, 19.3MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 x.re y.re))
#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 y.im) x.im))
#s(approx (- (* x.re y.re) (* x.im y.im)) (.f64 #s(literal -1 binary64) (.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	y.im
2.0ms	x.im
2.0ms	(*.f64 x.re y.re)

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)

regimes11.0ms (0.3%)

Memory

17.7MiB live, 17.7MiB allocated; 0ms collecting garbage

Counts

3 → 3

Calls

Call 1

Inputs

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

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

#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 #s(literal -1 binary64) (*.f64 x.im y.im)))

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
82.7%	3	`(*.f64 x.im y.im)`
82.3%	3	`(*.f64 x.re y.re)`
57.9%	1	`(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))`
70.9%	3	`x.re`
79.0%	3	`x.im`
80.6%	3	`y.re`
72.1%	3	`y.im`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

regimes28.0ms (0.9%)

Memory

-32.0MiB live, 16.0MiB allocated; 4ms 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 x.re y.re))

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

Calls

6 calls:

23.0ms	y.re
1.0ms	x.im
1.0ms	y.im
1.0ms	x.re
1.0ms	(*.f64 x.im y.im)

Results

Accuracy	Segments	Branch
57.9%	1	`x.re`
57.9%	1	`y.im`
57.9%	1	`x.im`
57.9%	1	`y.re`
57.9%	1	`(*.f64 x.re y.re)`
57.9%	1	`(*.f64 x.im y.im)`

Compiler

Compiled 10 to 26 computations (-160% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.6622094898128324e+33	4.4460639495069836e+33
0.0ms	-5.114651056946198e+114	-3.4092745510207047e+112

Compiler

Compiled 10 to 14 computations (-40% saved)

derivations53.0ms (1.6%)

Memory

30.4MiB live, 76.2MiB allocated; 3ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 27 to 23 computations (14.8% saved)

preprocess33.0ms (1%)

Memory

-26.4MiB live, 68.0MiB allocated; 10ms collecting garbage

Remove

(sort x.im y.im)

(sort x.re y.re)

Compiler

Compiled 214 to 198 computations (7.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample679.0ms (21.2%)

preprocess24.0ms (0.8%)

series12.0ms (0.4%)

rewrite1.3s (40%)

eval3.0ms (0.1%)

prune2.0ms (0.1%)

series10.0ms (0.3%)

rewrite247.0ms (7.7%)

eval83.0ms (2.6%)

prune12.0ms (0.4%)

series9.0ms (0.3%)

rewrite303.0ms (9.4%)

eval2.0ms (0.1%)

prune3.0ms (0.1%)

regimes395.0ms (12.3%)

regimes12.0ms (0.4%)

regimes11.0ms (0.3%)

regimes28.0ms (0.9%)

bsearch0.0ms (0%)

derivations53.0ms (1.6%)

preprocess33.0ms (1%)

end0.0ms (0%)

Profiling