Metrics for _multiplyComplex, real part

start0.0ms (0.0%)

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

analyze0.0ms (0.0%)

Memory

1.3MiB live, 1.3MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0.0%	0.0%	99.8%	0.2%	0.0%	0.0%	0.0%	0
100.0%	99.8%	0.0%	0.2%	0.0%	0.0%	0.0%	1

Compiler

Compiled 9 to 9 computations (0.0% saved)

sample753.0ms (47.6%)

Memory

21.2MiB live, 1 733.1MiB allocated; 315ms collecting garbage

Samples

418.0ms	8 255×	0	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 155.0ms

ival-mult!: 110.0ms (71.0% of total)

ival-sub!: 43.0ms (27.8% of total)

adjust: 2.0ms (1.3% of total)

Bogosity

preprocess51.0ms (3.2%)

Memory

-7.0MiB live, 96.6MiB allocated; 39ms 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
▶	99.2%	(-.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 (0.0% saved)

sample0.0ms (0.0%)

Memory

0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs

Outputs

series28.0ms (1.8%)

Memory

26.6MiB live, 117.6MiB allocated; 14ms 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
x.re
y.re
(*.f64 x.re y.re)
x.im
y.im
(*.f64 x.im y.im)
(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))

Outputs
#s(approx x.re x.re)
#s(approx (* x.re y.re) (*.f64 x.re y.re))
#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 (+.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 x.im)
#s(approx (* x.im y.im) (*.f64 x.im y.im))
#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 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
8.0ms	x.im	-inf
1.0ms	y.re	-inf
1.0ms	x.re	-inf
1.0ms	x.re	inf
1.0ms	y.im	-inf

rewrite241.0ms (15.3%)

Memory

11.4MiB live, 154.9MiB allocated; 26ms 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	3429	17
0	4567	17

Stop Event

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

Counts

7 → 39

Calls

Call 1

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

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

eval12.0ms (0.8%)

Memory: -36.2MiB live, 9.3MiB allocated; 4ms collecting garbage
Compiler: Compiled 660 to 157 computations (76.2% saved)

prune2.0ms (0.1%)

Memory

4.4MiB live, 4.4MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	50	1	51
Fresh	0	0	0
Picked	1	0	1
Done	-1	1	0
Total	50	2	52

Accuracy

100.0%

Counts

52 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))
▶	50.9%	#s(approx (- (* x.re y.re) (* x.im y.im)) (.f64 #s(literal -1 binary64) (.f64 x.im y.im)))

Compiler

Compiled 13 to 15 computations (-15.4% saved)

sample0.0ms (0.0%)

Memory

0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
-1

Outputs
#s(literal -1 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 3 to 3 computations (0.0% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0.0% of total)

series8.0ms (0.5%)

Memory

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	226

Stop Event

1×	iter-limit

Counts

6 → 15

Calls

Call 1

Inputs
#s(literal -1 binary64)
x.im
y.im
(*.f64 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 #s(literal -1 binary64) (.f64 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) (* 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 x.im)
#s(approx (* x.im y.im) (*.f64 x.im y.im))
#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 (- (* 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
1.0ms	x.im	-inf
1.0ms	x.im	inf
1.0ms	y.im	-inf
1.0ms	y.im	inf
1.0ms	x.im	0

rewrite107.0ms (6.8%)

Memory

-11.8MiB live, 176.2MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	24
0	13	22
1	43	22
2	122	22
3	346	22
4	587	22
5	1675	22
0	4102	22

Stop Event

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

Counts

6 → 183

Calls

Call 1

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

Outputs
#s(literal -1 binary64)
x.im
y.im
(.f64 (/.f64 (.f64 (+.f64 x.im x.im) y.im) #s(literal 8 binary64)) #s(literal 4 binary64))
(.f64 (/.f64 (.f64 (+.f64 x.im x.im) y.im) #s(literal 4 binary64)) #s(literal 2 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (.f64 y.im x.im))) (*.f64 y.im x.im))
(.f64 (/.f64 (.f64 y.im x.im) #s(literal 2 binary64)) #s(literal 2 binary64))
(.f64 (.f64 (+.f64 x.im x.im) y.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 y.im x.im)))
(.f64 #s(literal 2 binary64) (/.f64 (.f64 y.im x.im) #s(literal 2 binary64)))
(*.f64 (neg.f64 y.im) (neg.f64 x.im))
(.f64 (.f64 y.im x.im) #s(literal 1 binary64))
(*.f64 (neg.f64 x.im) (neg.f64 y.im))
(.f64 #s(literal 1 binary64) (.f64 y.im x.im))
(.f64 (.f64 (neg.f64 y.im) x.im) #s(literal -1 binary64))
(*.f64 y.im x.im)
(*.f64 x.im y.im)
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 y.im) x.im))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 (.f64 y.im x.im) (.f64 y.im x.im))) (-.f64 #s(literal 0 binary64) (*.f64 y.im x.im)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 y.im x.im) #s(literal 1/2 binary64)) (.f64 (.f64 y.im x.im) #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 y.im x.im) #s(literal 1/2 binary64)) (.f64 (.f64 y.im x.im) #s(literal 1/2 binary64)))) (-.f64 (.f64 (.f64 y.im x.im) #s(literal 1/2 binary64)) (.f64 (.f64 y.im x.im) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 y.im x.im) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 y.im x.im) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 y.im x.im) #s(literal 1/2 binary64)) (.f64 (.f64 y.im x.im) #s(literal 1/2 binary64)) (-.f64 (.f64 (.f64 (.f64 y.im x.im) #s(literal 1/2 binary64)) (.f64 (.f64 y.im x.im) #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 y.im x.im) #s(literal 1/2 binary64)) (.f64 (.f64 y.im x.im) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 y.im x.im)) (.f64 #s(literal 1/2 binary64) (.f64 y.im x.im))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 y.im x.im)) (.f64 #s(literal 1/2 binary64) (.f64 y.im x.im)))) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 y.im x.im)) (.f64 #s(literal 1/2 binary64) (.f64 y.im x.im))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y.im x.im)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y.im x.im)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 y.im x.im)) (.f64 #s(literal 1/2 binary64) (.f64 y.im x.im)) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 y.im x.im)) (.f64 #s(literal 1/2 binary64) (.f64 y.im x.im))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 y.im x.im)) (.f64 #s(literal 1/2 binary64) (.f64 y.im x.im))))))
(/.f64 (+.f64 (pow.f64 #s(literal 0 binary64) #s(literal 3 binary64)) (pow.f64 (.f64 y.im x.im) #s(literal 3 binary64))) (fma.f64 #s(literal 0 binary64) #s(literal 0 binary64) (-.f64 (.f64 (.f64 y.im x.im) (.f64 y.im x.im)) (.f64 #s(literal 0 binary64) (.f64 y.im x.im)))))
(/.f64 (-.f64 (pow.f64 (.f64 y.im x.im) #s(literal 3 binary64)) (pow.f64 #s(literal 0 binary64) #s(literal 3 binary64))) (fma.f64 (.f64 y.im x.im) (.f64 y.im x.im) (fma.f64 #s(literal 0 binary64) #s(literal 0 binary64) (.f64 (*.f64 y.im x.im) #s(literal 0 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 x.im x.im) y.im) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (+.f64 x.im x.im))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 x.im x.im) y.im)) (*.f64 #s(literal 0 binary64) (+.f64 x.im x.im))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (+.f64 y.im y.im) (+.f64 x.im x.im)) (.f64 #s(literal 0 binary64) (+.f64 x.im x.im))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (+.f64 x.im x.im) (+.f64 y.im y.im)) (.f64 #s(literal 0 binary64) (+.f64 x.im x.im))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (+.f64 x.im x.im) y.im) (.f64 #s(literal 0 binary64) (+.f64 x.im x.im))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 x.im x.im) y.im) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (.f64 (+.f64 x.im x.im) y.im))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 x.im x.im) y.im)) (.f64 #s(literal 0 binary64) (.f64 (+.f64 x.im x.im) y.im))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (+.f64 y.im y.im) (+.f64 x.im x.im)) (.f64 #s(literal 0 binary64) (*.f64 (+.f64 x.im x.im) y.im))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (+.f64 x.im x.im) (+.f64 y.im y.im)) (.f64 #s(literal 0 binary64) (*.f64 (+.f64 x.im x.im) y.im))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (+.f64 x.im x.im) y.im) (.f64 #s(literal 0 binary64) (*.f64 (+.f64 x.im x.im) y.im))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 x.im x.im) y.im) #s(literal 2 binary64)) (.f64 (.f64 (+.f64 x.im x.im) y.im) #s(literal 0 binary64))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 x.im x.im) y.im)) (.f64 (.f64 (+.f64 x.im x.im) y.im) #s(literal 0 binary64))) #s(literal 4 binary64))
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#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 y.im) x.im))

eval15.0ms (0.9%)

Memory: 29.1MiB live, 29.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 598 to 680 computations (73.8% saved)

prune8.0ms (0.5%)

Memory

-36.4MiB live, 9.4MiB allocated; 2ms collecting garbage

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	190	2	192
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	191	3	194

Accuracy

100.0%

Counts

194 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))
▶	50.9%	#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 y.im) x.im))
▶	55.1%	#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 x.re y.re))

Compiler

Compiled 16 to 20 computations (-25.0% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs

Outputs

series9.0ms (0.6%)

Memory

24.7MiB live, 24.7MiB 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
x.re
y.re
(*.f64 x.re y.re)
#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 x.re y.re))
y.im
(neg.f64 y.im)
x.im
(*.f64 (neg.f64 y.im) x.im)
#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 y.im) x.im))

Outputs
#s(approx x.re x.re)
#s(approx (* x.re y.re) (*.f64 x.re y.re))
#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 (+.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 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 (- (* 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
1.0ms	y.im	-inf
1.0ms	x.re	-inf
1.0ms	y.re	-inf
1.0ms	y.im	inf
1.0ms	x.im	inf

rewrite248.0ms (15.7%)

Memory

5.0MiB live, 206.8MiB allocated; 48ms 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	3479	36
0	4617	36

Stop Event

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

Counts

9 → 17

Calls

Call 1

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

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

eval2.0ms (0.1%)

Memory: 5.9MiB live, 5.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 210 to 94 computations (55.2% saved)

prune9.0ms (0.6%)

Memory

-39.0MiB live, 10.0MiB allocated; 6ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	27	0	27
Fresh	0	0	0
Picked	2	0	2
Done	-2	3	1
Total	27	3	30

Accuracy

100.0%

Counts

30 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))
✓	50.9%	#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 y.im) x.im))
✓	55.1%	#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 x.re y.re))

Compiler

Compiled 16 to 20 computations (-25.0% saved)

regimes45.0ms (2.9%)

Memory

3.5MiB live, 140.7MiB allocated; 11ms collecting garbage

Counts

1 → 1

3 → 3

4 → 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))

Call 2

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))

Call 3

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

21 calls:

4.0ms	x.re
4.0ms	x.re
4.0ms	y.re
2.0ms	y.re
2.0ms	x.im

Results

Accuracy	Segments	Branch
55.1%	1	`(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))`
55.1%	1	`y.re`
55.1%	1	`x.re`
55.1%	1	`y.im`
55.1%	1	`x.im`
55.1%	1	`(*.f64 x.re y.re)`
55.1%	1	`(*.f64 x.im y.im)`
82.6%	3	`(*.f64 x.im y.im)`
76.8%	3	`(*.f64 x.re y.re)`
62.0%	4	`(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))`
72.6%	3	`x.re`
74.5%	3	`x.im`
72.6%	3	`y.re`
74.3%	3	`y.im`
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 73 to 113 computations (-54.8% saved)

bsearch1.0ms (0.0%)

Memory

1.4MiB live, 1.4MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.570248129781293e+64	8.505201633834544e+67
0.0ms	-1.0350205695184609e-39	-1.9188191529696223e-40

Compiler

Compiled 12 to 15 computations (-25.0% saved)

derivations13.0ms (0.8%)

Memory

29.4MiB live, 29.4MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 37 to 17 computations (54.1% saved)

preprocess29.0ms (1.8%)

Memory: -25.3MiB live, 69.2MiB allocated; 14ms collecting garbage
Compiler: Compiled 192 to 140 computations (27.1% saved)

end0.0ms (0.0%)

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

start0.0ms (0.0%)

analyze0.0ms (0.0%)

sample753.0ms (47.6%)

preprocess51.0ms (3.2%)

sample0.0ms (0.0%)

series28.0ms (1.8%)

rewrite241.0ms (15.3%)

eval12.0ms (0.8%)

prune2.0ms (0.1%)

sample0.0ms (0.0%)

series8.0ms (0.5%)

rewrite107.0ms (6.8%)

eval15.0ms (0.9%)

prune8.0ms (0.5%)

sample0.0ms (0.0%)

series9.0ms (0.6%)

rewrite248.0ms (15.7%)

eval2.0ms (0.1%)

prune9.0ms (0.6%)

regimes45.0ms (2.9%)

bsearch1.0ms (0.0%)

derivations13.0ms (0.8%)

preprocess29.0ms (1.8%)

end0.0ms (0.0%)

Profiling