Metrics for _multiplyComplex, real part

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.2MiB live, 0.2MiB 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)

sample612.0ms (4.6%)

Memory

38.0MiB live, 349.5MiB allocated; 94ms collecting garbage

Samples

356.0ms	8 255×	0	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 152.0ms

ival-mult!: 134.0ms (87.9% of total)

ival-sub!: 17.0ms (11.2% of total)

adjust: 1.0ms (0.7% of total)

Bogosity

preprocess111.0ms (0.8%)

Memory

-63.9MiB live, 29.3MiB allocated; 137ms 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)

series83.0ms (0.6%)

Memory

-10.2MiB live, 38.8MiB allocated; 20ms collecting garbage

Counts

7 → 17

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	y.re	@	-inf	((- (* x.re y.re) (* x.im y.im)) (* x.re y.re) x.re y.re (* x.im y.im) x.im y.im)
1.0ms	x.re	@	-inf	((- (* x.re y.re) (* x.im y.im)) (* x.re y.re) x.re y.re (* x.im y.im) x.im y.im)
1.0ms	x.re	@	inf	((- (* x.re y.re) (* x.im y.im)) (* x.re y.re) x.re y.re (* x.im y.im) x.im y.im)
1.0ms	y.im	@	-inf	((- (* x.re y.re) (* x.im y.im)) (* x.re y.re) x.re y.re (* x.im y.im) x.im y.im)
1.0ms	x.im	@	-inf	((- (* x.re y.re) (* x.im y.im)) (* x.re y.re) x.re y.re (* x.im y.im) x.im y.im)

rewrite3.1s (23%)

Memory

50.2MiB live, 1 262.4MiB allocated; 276ms collecting garbage

Counts

7 → 31

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

eval4.0ms (0%)

Memory: 4.5MiB live, 4.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 210 to 117 computations (44.3% saved)

prune2.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	38	3	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	38	4	42

Accuracy

100.0%

Counts

42 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(fma.f64 (neg.f64 y.im) x.im (*.f64 x.re y.re))
▶	99.6%	(fma.f64 y.re x.re (neg.f64 (*.f64 x.im y.im)))
✓	98.8%	(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))
▶	50.3%	#s(approx (- (* x.re y.re) (* x.im y.im)) (.f64 #s(literal -1 binary64) (.f64 x.im y.im)))

Compiler

Compiled 32 to 32 computations (0% saved)

series102.0ms (0.8%)

Memory

-22.9MiB live, 25.7MiB allocated; 34ms collecting garbage

Counts

13 → 22

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

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	y.im	@	-inf	((- (* x.re y.re) (* x.im y.im)) (* -1 (* x.im y.im)) -1 (* x.im y.im) x.im y.im (+ (* y.re x.re) (neg (* x.im y.im))) y.re x.re (neg (* x.im y.im)) (+ (* (neg y.im) x.im) (* x.re y.re)) (neg y.im) (* x.re y.re))
1.0ms	x.im	@	-inf	((- (* x.re y.re) (* x.im y.im)) (* -1 (* x.im y.im)) -1 (* x.im y.im) x.im y.im (+ (* y.re x.re) (neg (* x.im y.im))) y.re x.re (neg (* x.im y.im)) (+ (* (neg y.im) x.im) (* x.re y.re)) (neg y.im) (* x.re y.re))
1.0ms	y.im	@	inf	((- (* x.re y.re) (* x.im y.im)) (* -1 (* x.im y.im)) -1 (* x.im y.im) x.im y.im (+ (* y.re x.re) (neg (* x.im y.im))) y.re x.re (neg (* x.im y.im)) (+ (* (neg y.im) x.im) (* x.re y.re)) (neg y.im) (* x.re y.re))
1.0ms	x.re	@	-inf	((- (* x.re y.re) (* x.im y.im)) (* -1 (* x.im y.im)) -1 (* x.im y.im) x.im y.im (+ (* y.re x.re) (neg (* x.im y.im))) y.re x.re (neg (* x.im y.im)) (+ (* (neg y.im) x.im) (* x.re y.re)) (neg y.im) (* x.re y.re))
1.0ms	y.re	@	-inf	((- (* x.re y.re) (* x.im y.im)) (* -1 (* x.im y.im)) -1 (* x.im y.im) x.im y.im (+ (* y.re x.re) (neg (* x.im y.im))) y.re x.re (neg (* x.im y.im)) (+ (* (neg y.im) x.im) (* x.re y.re)) (neg y.im) (* x.re y.re))

rewrite3.2s (24%)

Memory

38.6MiB live, 940.4MiB allocated; 199ms collecting garbage

Counts

13 → 103

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

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

eval31.0ms (0.2%)

Memory: -41.6MiB live, 19.4MiB allocated; 26ms collecting garbage
Compiler: Compiled 595 to 335 computations (43.7% saved)

prune4.0ms (0%)

Memory

6.9MiB live, 6.9MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	122	1	123
Fresh	0	0	0
Picked	1	2	3
Done	0	1	1
Total	123	4	127

Accuracy

100.0%

Counts

127 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(fma.f64 (neg.f64 y.im) x.im (*.f64 x.re y.re))
✓	99.6%	(fma.f64 y.re x.re (neg.f64 (*.f64 x.im y.im)))
✓	98.8%	(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))
▶	50.3%	#s(approx (- (* y.re x.re) (* y.im x.im)) (neg.f64 (*.f64 x.im y.im)))

Compiler

Compiled 31 to 31 computations (0% saved)

series86.0ms (0.6%)

Memory

-0.4MiB live, 44.7MiB allocated; 10ms collecting garbage

Counts

5 → 15

Calls

Call 1

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

Outputs
#s(approx (- (* y.re x.re) (* y.im x.im)) (.f64 #s(literal -1 binary64) (.f64 x.im y.im)))
#s(approx (- (* y.re x.re) (* y.im x.im)) (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)))
#s(approx (- (* y.re x.re) (* y.im x.im)) (*.f64 x.re y.re))
#s(approx (- (* y.re x.re) (* y.im x.im)) (.f64 x.re (+.f64 y.re (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) x.re)))))
#s(approx (- (* y.re x.re) (* y.im x.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 (- (* y.re x.re) (* y.im x.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 (- (* y.re x.re) (* y.im x.im)) (.f64 x.im (-.f64 (/.f64 (.f64 x.re y.re) x.im) y.im)))
#s(approx (- (* y.re x.re) (* y.im x.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) (* y.im x.im)) (.f64 y.re (+.f64 x.re (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re)))))
#s(approx (- (* y.re x.re) (* y.im x.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 (- (* y.re x.re) (* y.im x.im)) (.f64 y.im (-.f64 (/.f64 (.f64 x.re y.re) y.im) x.im)))
#s(approx (- (* y.re x.re) (* y.im x.im)) (.f64 #s(literal -1 binary64) (.f64 y.im (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.re) y.im)) (*.f64 #s(literal -1 binary64) x.im)))))

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	y.im	@	-inf	((- (* y.re x.re) (* y.im x.im)) (neg (* x.im y.im)) (* x.im y.im) x.im y.im)
1.0ms	x.im	@	-inf	((- (* y.re x.re) (* y.im x.im)) (neg (* x.im y.im)) (* x.im y.im) x.im y.im)
0.0ms	x.im	@	inf	((- (* y.re x.re) (* y.im x.im)) (neg (* x.im y.im)) (* x.im y.im) x.im y.im)
0.0ms	y.im	@	inf	((- (* y.re x.re) (* y.im x.im)) (neg (* x.im y.im)) (* x.im y.im) x.im y.im)
0.0ms	x.im	@	0	((- (* y.re x.re) (* y.im x.im)) (neg (* x.im y.im)) (* x.im y.im) x.im y.im)

rewrite3.0s (22.3%)

Memory

18.2MiB live, 1 687.5MiB allocated; 534ms collecting garbage

Counts

5 → 15

Calls

Call 1

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

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

eval3.0ms (0%)

Memory: 3.0MiB live, 3.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 160 to 98 computations (38.8% saved)

prune2.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	24	1	25
Fresh	0	0	0
Picked	0	1	1
Done	1	2	3
Total	25	4	29

Accuracy

100.0%

Counts

29 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(fma.f64 y.re x.re (neg.f64 (*.f64 x.im y.im)))
✓	98.8%	(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))
▶	52.3%	#s(approx (- (* y.re x.re) (* y.im x.im)) (*.f64 x.re y.re))
✓	50.3%	#s(approx (- (* y.re x.re) (* y.im x.im)) (neg.f64 (*.f64 x.im y.im)))

Compiler

Compiled 33 to 33 computations (0% saved)

series81.0ms (0.6%)

Memory

7.9MiB live, 54.6MiB allocated; 3ms collecting garbage

Counts

4 → 14

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	y.re	@	-inf	((- (* y.re x.re) (* y.im x.im)) (* x.re y.re) x.re y.re)
1.0ms	x.re	@	-inf	((- (* y.re x.re) (* y.im x.im)) (* x.re y.re) x.re y.re)
1.0ms	x.re	@	inf	((- (* y.re x.re) (* y.im x.im)) (* x.re y.re) x.re y.re)
0.0ms	y.re	@	inf	((- (* y.re x.re) (* y.im x.im)) (* x.re y.re) x.re y.re)
0.0ms	x.re	@	0	((- (* y.re x.re) (* y.im x.im)) (* x.re y.re) x.re y.re)

rewrite2.9s (21.4%)

Memory

21.4MiB live, 1 771.2MiB allocated; 389ms collecting garbage

Counts

4 → 10

Calls

Call 1

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

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

eval2.0ms (0%)

Memory: 5.6MiB live, 5.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 139 to 83 computations (40.3% saved)

prune2.0ms (0%)

Memory

6.0MiB live, 6.0MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	21	0	21
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	21	4	25

Accuracy

100.0%

Counts

25 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(fma.f64 y.re x.re (neg.f64 (*.f64 x.im y.im)))
✓	98.8%	(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))
✓	52.3%	#s(approx (- (* y.re x.re) (* y.im x.im)) (*.f64 x.re y.re))
✓	50.3%	#s(approx (- (* y.re x.re) (* y.im x.im)) (neg.f64 (*.f64 x.im y.im)))

Compiler

Compiled 64 to 55 computations (14.1% saved)

regimes18.0ms (0.1%)

Memory

-22.4MiB live, 24.7MiB allocated; 1ms collecting garbage

Counts

6 → 1

Calls

Call 1

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

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

Calls

7 calls:

4.0ms	(*.f64 x.re y.re)
2.0ms	y.re
2.0ms	y.im
2.0ms	x.re
2.0ms	x.im

Results

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

Compiler

Compiled 17 to 33 computations (-94.1% saved)

regimes13.0ms (0.1%)

Memory

23.4MiB live, 23.4MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

Outputs
(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))

Calls

7 calls:

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

Results

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

Compiler

Compiled 17 to 33 computations (-94.1% saved)

regimes18.0ms (0.1%)

Memory

-25.9MiB live, 21.3MiB allocated; 8ms collecting garbage

Counts

3 → 3

Calls

Call 1

Inputs

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

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

Calls

7 calls:

9.0ms	(*.f64 x.im y.im)
1.0ms	y.re
1.0ms	x.re
1.0ms	y.im
1.0ms	x.im

Results

Accuracy	Segments	Branch
79.0%	3	`(*.f64 x.im y.im)`
76.6%	3	`(*.f64 x.re y.re)`
55.6%	2	`(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))`
72.8%	3	`x.re`
68.4%	3	`x.im`
73.5%	3	`y.re`
72.3%	3	`y.im`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

regimes7.0ms (0.1%)

Memory

16.5MiB live, 16.5MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
52.3%	1	`(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))`
52.3%	1	`x.im`
52.3%	1	`y.im`
52.3%	1	`x.re`
52.3%	1	`y.re`
52.3%	1	`(*.f64 x.re y.re)`
52.3%	1	`(*.f64 x.im y.im)`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

bsearch18.0ms (0.1%)

Memory

22.2MiB live, 22.2MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
7.0ms	2187463.627323604	60423876.03443364
9.0ms	-3.197997324544816e-58	-4.337929117692312e-65

Samples

8.0ms

256×

valid

Compiler

Compiled 314 to 334 computations (-6.4% saved)

Precisions

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

ival-sub!: 1.0ms (50.5% of total)

ival-mult!: 1.0ms (50.5% of total)

adjust: 0.0ms (0% of total)

derivations1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 27 to 20 computations (25.9% saved)

preprocess38.0ms (0.3%)

Memory

-33.1MiB live, 57.9MiB allocated; 10ms collecting garbage

Remove

(sort x.im y.im)

(sort x.re y.re)

Compiler

Compiled 214 to 191 computations (10.7% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample612.0ms (4.6%)

preprocess111.0ms (0.8%)

series83.0ms (0.6%)

rewrite3.1s (23%)

eval4.0ms (0%)

prune2.0ms (0%)

series102.0ms (0.8%)

rewrite3.2s (24%)

eval31.0ms (0.2%)

prune4.0ms (0%)

series86.0ms (0.6%)

rewrite3.0s (22.3%)

eval3.0ms (0%)

prune2.0ms (0%)

series81.0ms (0.6%)

rewrite2.9s (21.4%)

eval2.0ms (0%)

prune2.0ms (0%)

regimes18.0ms (0.1%)

regimes13.0ms (0.1%)

regimes18.0ms (0.1%)

regimes7.0ms (0.1%)

bsearch18.0ms (0.1%)

derivations1.0ms (0%)

preprocess38.0ms (0.3%)

end0.0ms (0%)

Profiling