Metrics for _multiplyComplex, real part

start0.0ms (0.0%)

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

analyze0.0ms (0.0%)

Memory

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

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0.0%	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)

sample695.0ms (34.7%)

Memory

-4.7MiB live, 974.1MiB allocated; 254ms collecting garbage

Samples

390.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 128.0ms

ival-mult!: 109.0ms (85.3% of total)

ival-sub!: 17.0ms (13.3% of total)

adjust: 2.0ms (1.6% of total)

Bogosity

preprocess23.0ms (1.2%)

Memory

6.5MiB live, 51.7MiB allocated; 7ms 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 (0.0% saved)

series26.0ms (1.3%)

Memory

13.8MiB live, 65.3MiB allocated; 12ms 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
9.0ms	y.re	0
2.0ms	y.re	inf
1.0ms	y.re	-inf
1.0ms	x.re	-inf
1.0ms	x.re	inf

sample0.0ms (0.0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs

Outputs

rewrite264.0ms (13.2%)

Memory

8.6MiB live, 234.5MiB allocated; 42ms 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))

eval7.0ms (0.4%)

Memory: -27.5MiB live, 18.6MiB allocated; 4ms collecting garbage
Compiler: Compiled 747 to 160 computations (78.6% saved)

prune2.0ms (0.1%)

Memory

8.0MiB live, 8.0MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	48	3	51
Fresh	0	0	0
Picked	1	0	1
Done	-1	1	0
Total	48	4	52

Accuracy

100.0%

Counts

52 → 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))
▶	51.1%	#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)

series15.0ms (0.8%)

Memory

-11.0MiB live, 35.0MiB allocated; 5ms 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
x.re
y.re
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)))
(neg.f64 x.im)
(*.f64 (neg.f64 x.im) y.im)
(fma.f64 y.re x.re (*.f64 (neg.f64 x.im) y.im))
(neg.f64 y.im)
(*.f64 y.re x.re)
(fma.f64 (neg.f64 y.im) x.im (*.f64 y.re x.re))

Outputs
#s(approx x.re x.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 (+ (* 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 (* 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 x.im)
#s(approx (* x.im y.im) (*.f64 x.im y.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	y.im	0
1.0ms	x.re	-inf
1.0ms	y.re	-inf

sample0.0ms (0.0%)

Memory

1.1MiB live, 1.1MiB 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)

rewrite119.0ms (5.9%)

Memory

35.9MiB live, 175.8MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	51
0	27	49
1	115	49
2	257	49
3	404	49
4	591	49
5	2472	49
0	4008	49

Stop Event

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

Counts

14 → 462

Calls

Call 1

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

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

eval69.0ms (3.5%)

Memory: -6.9MiB live, 140.7MiB allocated; 42ms collecting garbage
Compiler: Compiled 4 860 to 956 computations (80.3% saved)

prune9.0ms (0.4%)

Memory

-20.0MiB live, 25.6MiB allocated; 5ms collecting garbage

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	339	1	340
Fresh	0	0	0
Picked	3	0	3
Done	-2	3	1
Total	340	4	344

Accuracy

100.0%

Counts

344 → 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))
▶	51.1%	#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)

series8.0ms (0.4%)

Memory

23.2MiB live, 23.2MiB 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
x.im
y.im
(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 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.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 (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	y.im	inf
1.0ms	x.im	inf
0.0ms	x.im	-inf
0.0ms	x.im	0

sample0.0ms (0.0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs

Outputs

rewrite246.0ms (12.3%)

Memory

14.6MiB live, 294.3MiB allocated; 41ms 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	3476	20
0	4614	20

Stop Event

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

Counts

5 → 9

Calls

Call 1

Inputs
x.im
y.im
(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.im
y.im
(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: 5.9MiB live, 5.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 317 to 79 computations (75.1% saved)

prune4.0ms (0.2%)

Memory

-40.8MiB live, 5.3MiB allocated; 4ms collecting garbage

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	19	1	20
Fresh	0	0	0
Picked	1	0	1
Done	-1	4	3
Total	19	5	24

Accuracy

100.0%

Counts

24 → 5

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))
✓	51.1%	#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 y.im) x.im))
▶	53.6%	#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 x.re y.re))

Compiler

Compiled 44 to 40 computations (9.1% saved)

series6.0ms (0.3%)

Memory

19.3MiB live, 19.3MiB 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
x.re
y.re
(*.f64 x.re y.re)
#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 x.re y.re))

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.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
1.0ms	x.re	-inf
1.0ms	y.re	-inf
0.0ms	x.re	inf
0.0ms	y.re	inf
0.0ms	x.re	0

sample0.0ms (0.0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs

Outputs

rewrite244.0ms (12.2%)

Memory

26.2MiB live, 210.0MiB allocated; 29ms 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	3429	16
0	4567	16

Stop Event

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

Counts

4 → 8

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))

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))

eval2.0ms (0.1%)

Memory: 5.6MiB live, 5.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 304 to 74 computations (75.7% saved)

prune5.0ms (0.2%)

Memory

-39.7MiB live, 6.3MiB allocated; 5ms collecting garbage

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	19	0	19
Fresh	0	0	0
Picked	1	0	1
Done	-1	5	4
Total	19	5	24

Accuracy

100.0%

Counts

24 → 5

Alt Table

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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))
✓	51.1%	#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 y.im) x.im))
✓	53.6%	#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 x.re y.re))

Compiler

Compiled 44 to 40 computations (9.1% saved)

regimes130.0ms (6.5%)

Memory

18.1MiB live, 277.4MiB allocated; 24ms collecting garbage

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:

29.0ms	(*.f64 x.re y.re)
16.0ms	x.im
6.0ms	(*.f64 x.re y.re)
4.0ms	(*.f64 x.re y.re)
4.0ms	(*.f64 x.im y.im)

Results

Accuracy	Segments	Branch
53.6%	1	`(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))`
53.6%	1	`y.im`
53.6%	1	`x.im`
53.6%	1	`x.re`
53.6%	1	`y.re`
53.6%	1	`(*.f64 x.im y.im)`
53.6%	1	`(*.f64 x.re y.re)`
77.9%	3	`(*.f64 x.im y.im)`
82.4%	3	`(*.f64 x.re y.re)`
67.1%	7	`(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))`
74.5%	3	`x.re`
71.5%	3	`x.im`
76.2%	3	`y.re`
71.0%	3	`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)

bsearch13.0ms (0.7%)

Memory

-28.6MiB live, 23.2MiB allocated; 4ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	3.103312687569411e-12	1.3937945229842141e-10
1.0ms	-2.759980874382817e+69	-2.55475111048554e+69

Samples

5.0ms

128×

valid

Compiler

Compiled 180 to 175 computations (2.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-mult!: 1.0ms (67.1% of total)

ival-sub!: 0.0ms (0.0% of total)

adjust: 0.0ms (0.0% of total)

derivations71.0ms (3.5%)

Memory

-6.9MiB live, 85.3MiB allocated; 5ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 78 to 25 computations (67.9% saved)

preprocess42.0ms (2.1%)

Memory: 39.8MiB live, 184.5MiB allocated; 10ms collecting garbage
Compiler: Compiled 397 to 224 computations (43.6% saved)

end0.0ms (0.0%)

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

start0.0ms (0.0%)

analyze0.0ms (0.0%)

sample695.0ms (34.7%)

preprocess23.0ms (1.2%)

series26.0ms (1.3%)

sample0.0ms (0.0%)

rewrite264.0ms (13.2%)

eval7.0ms (0.4%)

prune2.0ms (0.1%)

series15.0ms (0.8%)

sample0.0ms (0.0%)

rewrite119.0ms (5.9%)

eval69.0ms (3.5%)

prune9.0ms (0.4%)

series8.0ms (0.4%)

sample0.0ms (0.0%)

rewrite246.0ms (12.3%)

eval2.0ms (0.1%)

prune4.0ms (0.2%)

series6.0ms (0.3%)

sample0.0ms (0.0%)

rewrite244.0ms (12.2%)

eval2.0ms (0.1%)

prune5.0ms (0.2%)

regimes130.0ms (6.5%)

bsearch13.0ms (0.7%)

derivations71.0ms (3.5%)

preprocess42.0ms (2.1%)

end0.0ms (0.0%)

Profiling