Metrics for _multiplyComplex, real part

start0.0ms (0.0%)

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

analyze0.0ms (0.0%)

Memory

1.0MiB live, 1.0MiB 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)

sample720.0ms (45.0%)

Memory

9.5MiB live, 1 611.1MiB allocated; 253ms collecting garbage

Samples

385.0ms	8 255×	0	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 131.0ms

ival-mult!: 113.0ms (86.0% of total)

ival-sub!: 17.0ms (12.9% of total)

adjust: 1.0ms (0.8% of total)

Bogosity

preprocess21.0ms (1.3%)

Memory

27.8MiB live, 73.2MiB allocated; 5ms 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

series46.0ms (2.9%)

Memory

-47.7MiB live, 123.3MiB allocated; 62ms 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
25.0ms	x.re	inf
4.0ms	y.im	inf
1.0ms	y.re	-inf
1.0ms	x.re	-inf
1.0ms	y.im	-inf

rewrite270.0ms (16.9%)

Memory

49.5MiB live, 262.3MiB allocated; 66ms 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))

eval23.0ms (1.5%)

Memory: -50.6MiB live, 13.0MiB allocated; 26ms collecting garbage
Compiler: Compiled 747 to 160 computations (78.6% saved)

prune2.0ms (0.1%)

Memory

5.2MiB live, 5.2MiB 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 20 to 18 computations (10.0% 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)

series7.0ms (0.5%)

Memory

18.9MiB live, 18.9MiB 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
x.im
y.im
#s(literal -1 binary64)
(*.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	y.im	-inf
1.0ms	x.im	inf
1.0ms	x.im	0
1.0ms	y.im	inf

rewrite105.0ms (6.5%)

Memory

14.1MiB live, 153.3MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	24
0	13	22
1	43	22
2	122	22
3	347	22
4	588	22
5	1678	22
0	4105	22

Stop Event

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

Counts

6 → 183

Calls

Call 1

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

eval21.0ms (1.3%)

Memory: -10.0MiB live, 41.3MiB allocated; 10ms collecting garbage
Compiler: Compiled 3 947 to 683 computations (82.7% saved)

prune6.0ms (0.4%)

Memory

9.8MiB live, 9.8MiB allocated; 0ms 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 30 to 26 computations (13.3% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs

Outputs

series26.0ms (1.6%)

Memory

-37.8MiB live, 9.1MiB allocated; 3ms 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
x.im
y.im
(*.f64 x.re y.re)
#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 x.re y.re))
(neg.f64 y.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.im x.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 (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
18.0ms	y.re	-inf
1.0ms	y.im	-inf
1.0ms	y.im	inf
1.0ms	x.re	-inf
1.0ms	x.im	inf

rewrite255.0ms (16.0%)

Memory

29.6MiB live, 222.1MiB allocated; 59ms 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
x.im
y.im
(*.f64 x.re y.re)
#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 x.re y.re))
(neg.f64 y.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
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))
#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 y.re x.re))
(neg.f64 y.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: 5.5MiB live, 5.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 408 to 98 computations (76.0% saved)

prune2.0ms (0.1%)

Memory

4.8MiB live, 4.8MiB allocated; 0ms 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 30 to 26 computations (13.3% saved)

regimes51.0ms (3.2%)

Memory

-31.4MiB live, 203.0MiB allocated; 19ms 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:

6.0ms	x.im
5.0ms	y.im
4.0ms	y.re
4.0ms	(*.f64 x.im y.im)
3.0ms	(*.f64 x.im y.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 94 to 116 computations (-23.4% saved)

bsearch1.0ms (0.0%)

Memory

2.1MiB live, 2.1MiB 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

31.1MiB live, 31.0MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 65 to 20 computations (69.2% saved)

preprocess29.0ms (1.8%)

Memory: -33.0MiB live, 60.8MiB allocated; 12ms collecting garbage
Compiler: Compiled 332 to 167 computations (49.7% saved)

end0.0ms (0.0%)

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

start0.0ms (0.0%)

analyze0.0ms (0.0%)

sample720.0ms (45.0%)

preprocess21.0ms (1.3%)

sample0.0ms (0.0%)

series46.0ms (2.9%)

rewrite270.0ms (16.9%)

eval23.0ms (1.5%)

prune2.0ms (0.1%)

sample0.0ms (0.0%)

series7.0ms (0.5%)

rewrite105.0ms (6.5%)

eval21.0ms (1.3%)

prune6.0ms (0.4%)

sample0.0ms (0.0%)

series26.0ms (1.6%)

rewrite255.0ms (16.0%)

eval2.0ms (0.1%)

prune2.0ms (0.1%)

regimes51.0ms (3.2%)

bsearch1.0ms (0.0%)

derivations13.0ms (0.8%)

preprocess29.0ms (1.8%)

end0.0ms (0.0%)

Profiling