Metrics for _multiplyComplex, real part

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

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

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
100%	99.8%	0%	0.2%	0%	0%	0%	1

Compiler

Compiled 9 to 9 computations (0% saved)

sample666.0ms (34.7%)

Memory

26.6MiB live, 1 039.6MiB allocated; 274ms collecting garbage

Samples

398.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 107.0ms

ival-mult!: 85.0ms (79.6% of total)

ival-sub!: 20.0ms (18.7% of total)

adjust: 2.0ms (1.9% of total)

Bogosity

preprocess17.0ms (0.9%)

Memory

44.0MiB live, 44.0MiB allocated; 0ms 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)

series30.0ms (1.6%)

Memory

-26.0MiB live, 43.3MiB allocated; 29ms 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
16.0ms	x.re	inf
2.0ms	x.re	-inf
1.0ms	y.re	-inf
1.0ms	y.im	-inf
1.0ms	x.im	-inf

rewrite262.0ms (13.6%)

Memory

1.5MiB live, 180.3MiB allocated; 48ms 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	4585	17

Stop Event

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

Counts

7 → 39

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
(.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))
(*.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

eval5.0ms (0.2%)

Memory: 12.1MiB live, 12.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 740 to 160 computations (78.4% saved)

prune5.0ms (0.3%)

Memory

-37.1MiB live, 7.9MiB allocated; 6ms collecting garbage

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	47	3	50
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	47	4	51

Accuracy

100.0%

Counts

51 → 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))
▶	48.6%	#s(approx (- (* x.re y.re) (* x.im y.im)) (.f64 #s(literal -1 binary64) (.f64 x.im y.im)))

Compiler

Compiled 34 to 32 computations (5.9% saved)

series12.0ms (0.6%)

Memory

37.4MiB live, 37.4MiB allocated; 0ms 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
1.0ms	y.im	-inf
1.0ms	x.im	-inf
1.0ms	x.im	inf
1.0ms	y.re	-inf
1.0ms	y.im	inf

rewrite99.0ms (5.2%)

Memory

4.8MiB live, 145.4MiB allocated; 25ms 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	4009	49

Stop Event

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

Counts

14 → 462

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

eval42.0ms (2.2%)

Memory: 13.6MiB live, 101.6MiB allocated; 17ms collecting garbage
Compiler: Compiled 4 858 to 952 computations (80.4% saved)

prune11.0ms (0.6%)

Memory

-21.5MiB live, 21.7MiB allocated; 11ms collecting garbage

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	338	1	339
Fresh	0	0	0
Picked	1	2	3
Done	0	1	1
Total	339	4	343

Accuracy

100.0%

Counts

343 → 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))
▶	48.6%	#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 y.im) x.im))

Compiler

Compiled 33 to 31 computations (6.1% saved)

series7.0ms (0.4%)

Memory

19.0MiB live, 19.0MiB 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
1.0ms	y.im	-inf
1.0ms	y.im	inf
1.0ms	x.im	inf
0.0ms	x.im	-inf
0.0ms	x.im	0

rewrite229.0ms (11.9%)

Memory

-10.6MiB live, 177.6MiB allocated; 31ms 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	4632	20

Stop Event

1×	iter-limit
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: 7.1MiB live, 7.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 305 to 77 computations (74.8% saved)

prune2.0ms (0.1%)

Memory

5.7MiB live, 5.7MiB 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))
✓	48.6%	#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 y.im) x.im))
▶	54.0%	#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 x.re y.re))

Compiler

Compiled 37 to 33 computations (10.8% saved)

series90.0ms (4.7%)

Memory

-38.3MiB live, 32.9MiB allocated; 147ms 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
84.0ms	y.im	inf
1.0ms	y.re	-inf
1.0ms	x.re	-inf
0.0ms	x.re	inf
0.0ms	y.re	inf

rewrite225.0ms (11.7%)

Memory

-1.9MiB live, 188.4MiB allocated; 26ms 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	4585	16

Stop Event

1×	iter-limit
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: 4.6MiB live, 4.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 304 to 73 computations (76% saved)

prune2.0ms (0.1%)

Memory

4.2MiB live, 4.2MiB 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))
✓	48.6%	#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 y.im) x.im))
✓	54.0%	#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 x.re y.re))

Compiler

Compiled 37 to 33 computations (10.8% saved)

regimes78.0ms (4%)

Memory

32.8MiB live, 166.9MiB allocated; 23ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

3 → 3

4 → 1

5 → 1

6 → 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 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))

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))

Call 4

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))

Call 5

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

35 calls:

11.0ms	y.re
6.0ms	x.re
5.0ms	(*.f64 x.re y.re)
2.0ms	y.re
2.0ms	y.im

Results

Accuracy	Segments	Branch
54.0%	1	`(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))`
54.0%	1	`y.re`
54.0%	1	`x.im`
54.0%	1	`x.re`
54.0%	1	`y.im`
54.0%	1	`(*.f64 x.im y.im)`
54.0%	1	`(*.f64 x.re y.re)`
77.6%	3	`(*.f64 x.im y.im)`
79.6%	3	`(*.f64 x.re y.re)`
60.7%	5	`(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))`
73.7%	3	`x.re`
71.7%	3	`x.im`
70.6%	3	`y.re`
78.1%	5	`y.im`
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`
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`
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 142 to 187 computations (-31.7% saved)

bsearch32.0ms (1.7%)

Memory

-17.0MiB live, 33.0MiB allocated; 25ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	3.604111079774447e-37	5.552667820208582e-32
21.0ms	-6.27376803288596e-8	-1.2433081410992422e-8

Samples

22.0ms

240×

valid

Compiler

Compiled 325 to 314 computations (3.4% saved)

Precisions

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

ival-sub!: 1.0ms (49.1% of total)

ival-mult!: 1.0ms (49.1% of total)

adjust: 0.0ms (0% of total)

derivations58.0ms (3%)

Memory

-27.4MiB live, 66.4MiB allocated; 10ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 78 to 25 computations (67.9% saved)

preprocess45.0ms (2.3%)

Memory

6.6MiB live, 99.9MiB allocated; 16ms collecting garbage

Remove

(sort x.im y.im)

(sort x.re y.re)

Compiler

Compiled 397 to 224 computations (43.6% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample666.0ms (34.7%)

preprocess17.0ms (0.9%)

series30.0ms (1.6%)

rewrite262.0ms (13.6%)

eval5.0ms (0.2%)

prune5.0ms (0.3%)

series12.0ms (0.6%)

rewrite99.0ms (5.2%)

eval42.0ms (2.2%)

prune11.0ms (0.6%)

series7.0ms (0.4%)

rewrite229.0ms (11.9%)

eval2.0ms (0.1%)

prune2.0ms (0.1%)

series90.0ms (4.7%)

rewrite225.0ms (11.7%)

eval2.0ms (0.1%)

prune2.0ms (0.1%)

regimes78.0ms (4%)

bsearch32.0ms (1.7%)

derivations58.0ms (3%)

preprocess45.0ms (2.3%)

end0.0ms (0%)

Profiling