Metrics for _multiplyComplex, real part

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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)

sample820.0ms (33.6%)

Memory

33.8MiB live, 715.8MiB allocated; 856ms collecting garbage

Samples

578.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 101.0ms

ival-mult!: 82.0ms (81.5% of total)

ival-sub!: 17.0ms (16.9% of total)

adjust: 2.0ms (2% of total)

Bogosity

preprocess21.0ms (0.9%)

Memory

-22.3MiB live, 23.2MiB allocated; 6ms 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
▶	98.8%	(-.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 (0.5%)

Memory

19.7MiB live, 19.7MiB 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)

rewrite294.0ms (12.1%)

Memory

10.5MiB live, 194.6MiB allocated; 39ms 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: 7.0MiB live, 7.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 197 to 106 computations (46.2% saved)

prune2.0ms (0.1%)

Memory

4.3MiB live, 4.3MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	35	3	38
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	35	4	39

Accuracy

100.0%

Counts

39 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(fma.f64 (neg.f64 y.im) x.im (*.f64 y.re x.re))
▶	99.2%	(fma.f64 y.re x.re (*.f64 (neg.f64 x.im) y.im))
✓	98.8%	(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))
▶	52.6%	#s(approx (- (* x.re y.re) (* x.im y.im)) (.f64 #s(literal -1 binary64) (.f64 x.im y.im)))

Compiler

Compiled 32 to 32 computations (0% saved)

series16.0ms (0.6%)

Memory

-26.3MiB live, 18.9MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	318

Stop Event

1×	iter-limit

Counts

14 → 23

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

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 (* y.re x.re) (*.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 (neg y.im) (*.f64 #s(literal -1 binary64) 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
5.0ms	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) (+ (* (neg y.im) x.im) (* y.re x.re)) (neg y.im) (* y.re x.re))
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) (+ (* (neg y.im) x.im) (* y.re x.re)) (neg y.im) (* y.re x.re))
1.0ms	x.re	@	-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) (+ (* (neg y.im) x.im) (* y.re x.re)) (neg y.im) (* y.re x.re))
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) (+ (* (neg y.im) x.im) (* y.re x.re)) (neg y.im) (* y.re x.re))
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) (+ (* (neg y.im) x.im) (* y.re x.re)) (neg y.im) (* y.re x.re))

rewrite250.0ms (10.3%)

Memory

23.9MiB live, 211.4MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	51
0	26	49
1	114	49
2	256	49
3	403	49
4	590	49
5	2471	49
0	8477	49
1	13553	49

Stop Event

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

Counts

14 → 976

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

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

eval100.0ms (4.1%)

Memory: 13.4MiB live, 163.4MiB allocated; 54ms collecting garbage
Compiler: Compiled 4 519 to 2 182 computations (51.7% saved)

prune13.0ms (0.5%)

Memory

-13.7MiB live, 31.3MiB allocated; 6ms collecting garbage

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	713	1	714
Fresh	0	0	0
Picked	1	2	3
Done	0	1	1
Total	714	4	718

Accuracy

100.0%

Counts

718 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(fma.f64 (neg.f64 y.im) x.im (*.f64 y.re x.re))
✓	99.2%	(fma.f64 y.re x.re (*.f64 (neg.f64 x.im) y.im))
✓	98.8%	(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))
▶	52.6%	#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 y.im) x.im))

Compiler

Compiled 31 to 31 computations (0% saved)

series7.0ms (0.3%)

Memory

15.0MiB live, 15.0MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	225

Stop Event

1×	iter-limit

Counts

5 → 15

Calls

Call 1

Inputs
#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) (* 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.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 (- (* 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)) (* (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)) (* (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)) (* (neg y.im) x.im) (neg y.im) y.im x.im)
0.0ms	x.im	@	-inf	((- (* x.re y.re) (* x.im y.im)) (* (neg y.im) x.im) (neg y.im) y.im x.im)
0.0ms	x.im	@	0	((- (* x.re y.re) (* x.im y.im)) (* (neg y.im) x.im) (neg y.im) y.im x.im)

rewrite286.0ms (11.7%)

Memory

-34.3MiB live, 153.3MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
0	12	20
1	41	20
2	107	20
3	299	20
4	471	20
5	798	20
6	3478	20
0	8131	20
1	13879	20

Stop Event

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

Counts

5 → 9

Calls

Call 1

Inputs
#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 (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: 2.8MiB live, 2.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 132 to 77 computations (41.7% saved)

prune2.0ms (0.1%)

Memory

2.2MiB live, 2.2MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	18	1	19
Fresh	0	0	0
Picked	0	1	1
Done	1	2	3
Total	19	4	23

Accuracy

100.0%

Counts

23 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(fma.f64 y.re x.re (*.f64 (neg.f64 x.im) y.im))
✓	98.8%	(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))
✓	52.6%	#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 y.im) x.im))
▶	50.9%	#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 x.re y.re))

Compiler

Compiled 33 to 33 computations (0% saved)

series6.0ms (0.2%)

Memory

7.5MiB live, 7.5MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	215

Stop Event

1×	iter-limit

Counts

4 → 14

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

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.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 (- (* 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	x.re	@	-inf	((- (* x.re y.re) (* x.im y.im)) (* x.re y.re) x.re y.re)
1.0ms	y.re	@	-inf	((- (* x.re y.re) (* x.im y.im)) (* x.re y.re) x.re y.re)
0.0ms	x.re	@	inf	((- (* x.re y.re) (* x.im y.im)) (* x.re y.re) x.re y.re)
0.0ms	y.re	@	inf	((- (* x.re y.re) (* x.im y.im)) (* x.re y.re) x.re y.re)
0.0ms	x.re	@	0	((- (* x.re y.re) (* x.im y.im)) (* x.re y.re) x.re y.re)

rewrite294.0ms (12.1%)

Memory

2.4MiB live, 236.6MiB allocated; 35ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
0	10	16
1	36	16
2	101	16
3	239	16
4	424	16
5	751	16
6	3431	16
0	8084	16
1	13833	16

Stop Event

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

Counts

4 → 8

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

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

eval2.0ms (0.1%)

Memory: 4.5MiB live, 4.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 131 to 73 computations (44.3% saved)

prune2.0ms (0.1%)

Memory

5.9MiB live, 5.8MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	19	0	19
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	19	4	23

Accuracy

100.0%

Counts

23 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(fma.f64 y.re x.re (*.f64 (neg.f64 x.im) y.im))
✓	98.8%	(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))
✓	52.6%	#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 y.im) x.im))
✓	50.9%	#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 x.re y.re))

Compiler

Compiled 61 to 55 computations (9.8% saved)

regimes20.0ms (0.8%)

Memory

-4.7MiB live, 40.2MiB allocated; 7ms collecting garbage

Counts

6 → 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))
(fma.f64 (neg.f64 y.im) x.im (*.f64 y.re x.re))

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

Calls

7 calls:

6.0ms	(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))
2.0ms	y.im
2.0ms	y.re
2.0ms	x.re
2.0ms	x.im

Results

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

Compiler

Compiled 17 to 33 computations (-94.1% saved)

regimes17.0ms (0.7%)

Memory

-8.6MiB live, 37.1MiB allocated; 5ms 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:

5.0ms	(*.f64 x.re y.re)
2.0ms	y.re
2.0ms	y.im
2.0ms	x.re
2.0ms	x.im

Results

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

regimes13.0ms (0.5%)

Memory

25.8MiB live, 25.8MiB 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	x.re
2.0ms	x.im
2.0ms	y.re
2.0ms	y.im
2.0ms	(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))

Results

Accuracy	Segments	Branch
98.8%	1	`(*.f64 x.im y.im)`
98.8%	1	`(*.f64 x.re y.re)`
98.8%	1	`(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))`
98.8%	1	`x.re`
98.8%	1	`x.im`
98.8%	1	`y.re`
98.8%	1	`y.im`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

regimes25.0ms (1%)

Memory

-21.1MiB live, 25.0MiB allocated; 3ms 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 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 x.re y.re))

Calls

7 calls:

16.0ms	(*.f64 x.re y.re)
2.0ms	y.re
2.0ms	x.re
2.0ms	y.im
1.0ms	x.im

Results

Accuracy	Segments	Branch
76.8%	3	`(*.f64 x.im y.im)`
76.9%	3	`(*.f64 x.re y.re)`
58.1%	4	`(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))`
71.1%	3	`x.re`
69.5%	3	`x.im`
72.4%	3	`y.re`
74.8%	3	`y.im`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

regimes7.0ms (0.3%)

Memory

21.2MiB live, 21.2MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
50.9%	1	`(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))`
50.9%	1	`x.im`
50.9%	1	`x.re`
50.9%	1	`y.re`
50.9%	1	`y.im`
50.9%	1	`(*.f64 x.im y.im)`
50.9%	1	`(*.f64 x.re y.re)`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

bsearch26.0ms (1.1%)

Memory

-28.3MiB live, 33.5MiB allocated; 21ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	385163186991.2917	990969522483.3683
9.0ms	-4.29572952307152e+55	-7.284410709649763e+49

Samples

18.0ms

224×

valid

Compiler

Compiled 276 to 294 computations (-6.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-sub!: 1.0ms (55.5% of total)

ival-mult!: 1.0ms (55.5% of total)

adjust: 0.0ms (0% of total)

derivations107.0ms (4.4%)

Memory

14.9MiB live, 61.5MiB allocated; 4ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 30 to 25 computations (16.7% saved)

preprocess89.0ms (3.7%)

Memory

-1.9MiB live, 89.4MiB allocated; 7ms collecting garbage

Remove

(sort x.im y.im)

(sort x.re y.re)

Compiler

Compiled 245 to 224 computations (8.6% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample820.0ms (33.6%)

preprocess21.0ms (0.9%)

series12.0ms (0.5%)

rewrite294.0ms (12.1%)

eval3.0ms (0.1%)

prune2.0ms (0.1%)

series16.0ms (0.6%)

rewrite250.0ms (10.3%)

eval100.0ms (4.1%)

prune13.0ms (0.5%)

series7.0ms (0.3%)

rewrite286.0ms (11.7%)

eval2.0ms (0.1%)

prune2.0ms (0.1%)

series6.0ms (0.2%)

rewrite294.0ms (12.1%)

eval2.0ms (0.1%)

prune2.0ms (0.1%)

regimes20.0ms (0.8%)

regimes17.0ms (0.7%)

regimes13.0ms (0.5%)

regimes25.0ms (1%)

regimes7.0ms (0.3%)

bsearch26.0ms (1.1%)

derivations107.0ms (4.4%)

preprocess89.0ms (3.7%)

end0.0ms (0%)

Profiling