Metrics for _multiplyComplex, real part

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB 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)

sample570.0ms (27.4%)

Memory

51.0MiB live, 940.2MiB allocated; 152ms collecting garbage

Samples

365.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 119.0ms

ival-mult!: 88.0ms (73.9% of total)

ival-sub!: 30.0ms (25.2% of total)

adjust: 2.0ms (1.7% of total)

Bogosity

preprocess24.0ms (1.2%)

Memory

-18.4MiB live, 31.1MiB allocated; 11ms 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
▶	98.0%	(-.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)

series14.0ms (0.7%)

Memory

25.6MiB live, 25.6MiB allocated; 0ms 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	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)

rewrite301.0ms (14.5%)

Memory

-15.7MiB live, 219.4MiB allocated; 33ms 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	8084	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

eval4.0ms (0.2%)

Memory: 6.2MiB live, 6.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 363 to 160 computations (55.9% saved)

prune2.0ms (0.1%)

Memory

2.8MiB live, 2.8MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	48	2	50
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	48	3	51

Accuracy

100.0%

Counts

51 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.8%	(fma.f64 (neg.f64 y.im) x.im (*.f64 y.re x.re))
✓	98.0%	(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))
▶	56.0%	#s(approx (- (* x.re y.re) (* x.im y.im)) (.f64 #s(literal -1 binary64) (.f64 x.im y.im)))

Compiler

Compiled 25 to 25 computations (0% saved)

series11.0ms (0.5%)

Memory

11.8MiB live, 11.8MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	312

Stop Event

1×	iter-limit

Counts

11 → 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 (neg.f64 y.im) x.im (*.f64 y.re x.re))
(neg.f64 y.im)
(*.f64 y.re x.re)
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 (+ (* (neg y.im) x.im) (* y.re x.re)) (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 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.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) (* y.re x.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) (* y.re x.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) (* y.re x.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) (* y.re x.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 (+ (* (neg y.im) x.im) (* y.re x.re)) (neg y.im) (* y.re x.re) y.re x.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 (+ (* (neg y.im) x.im) (* y.re x.re)) (neg y.im) (* y.re x.re) y.re x.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 (+ (* (neg y.im) x.im) (* y.re x.re)) (neg y.im) (* y.re x.re) y.re x.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 (+ (* (neg y.im) x.im) (* y.re x.re)) (neg y.im) (* y.re x.re) y.re x.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 (+ (* (neg y.im) x.im) (* y.re x.re)) (neg y.im) (* y.re x.re) y.re x.re)

rewrite194.0ms (9.3%)

Memory

-16.2MiB live, 171.8MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	38
0	20	36
1	81	36
2	198	36
3	467	36
4	608	36
5	1689	36
0	8243	36

Stop Event

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

Counts

11 → 557

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

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

eval68.0ms (3.3%)

Memory: 14.2MiB live, 104.5MiB allocated; 9ms collecting garbage
Compiler: Compiled 3 778 to 1 611 computations (57.4% saved)

prune10.0ms (0.5%)

Memory

21.1MiB live, 21.1MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	570	1	571
Fresh	0	0	0
Picked	1	1	2
Done	0	1	1
Total	571	3	574

Accuracy

100.0%

Counts

574 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.8%	(fma.f64 (neg.f64 y.im) x.im (*.f64 y.re x.re))
✓	98.0%	(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))
▶	56.0%	#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 y.im) x.im))

Compiler

Compiled 24 to 24 computations (0% saved)

series25.0ms (1.2%)

Memory

-58.2MiB live, 11.7MiB allocated; 10ms 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	Expression
17.0ms	x.re	@	0	((- (* x.re y.re) (* x.im y.im)) (* (neg y.im) x.im) (neg y.im) y.im x.im)
1.0ms	y.im	@	-inf	((- (* x.re y.re) (* x.im y.im)) (* (neg y.im) x.im) (neg y.im) y.im x.im)
1.0ms	x.im	@	inf	((- (* x.re y.re) (* x.im y.im)) (* (neg y.im) x.im) (neg y.im) y.im x.im)
1.0ms	y.im	@	inf	((- (* x.re y.re) (* x.im y.im)) (* (neg y.im) x.im) (neg y.im) y.im x.im)
0.0ms	x.im	@	-inf	((- (* x.re y.re) (* x.im y.im)) (* (neg y.im) x.im) (neg y.im) y.im x.im)

rewrite282.0ms (13.6%)

Memory

28.5MiB live, 254.8MiB 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	3478	20
0	8131	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: 7.2MiB live, 7.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 132 to 77 computations (41.7% saved)

prune2.0ms (0.1%)

Memory

5.8MiB live, 5.8MiB 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	0	2	2
Total	18	4	22

Accuracy

100.0%

Counts

22 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.8%	(fma.f64 (neg.f64 y.im) x.im (*.f64 y.re x.re))
✓	98.0%	(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))
✓	56.0%	#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 y.im) x.im))
▶	49.4%	#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 x.re y.re))

Compiler

Compiled 33 to 33 computations (0% saved)

series9.0ms (0.4%)

Memory

-24.7MiB live, 21.6MiB allocated; 4ms 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	Expression
2.0ms	y.re	@	inf	((- (* x.re y.re) (* x.im y.im)) (* x.re y.re) x.re y.re)
1.0ms	y.re	@	-inf	((- (* x.re y.re) (* x.im y.im)) (* x.re y.re) x.re y.re)
1.0ms	x.re	@	-inf	((- (* x.re y.re) (* x.im y.im)) (* x.re y.re) x.re y.re)
0.0ms	x.re	@	inf	((- (* x.re y.re) (* x.im y.im)) (* x.re y.re) x.re y.re)
0.0ms	x.re	@	0	((- (* x.re y.re) (* x.im y.im)) (* x.re y.re) x.re y.re)

rewrite283.0ms (13.6%)

Memory

4.0MiB live, 289.1MiB allocated; 34ms 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	8084	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: 6.0MiB live, 6.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 131 to 73 computations (44.3% saved)

prune2.0ms (0.1%)

Memory

7.3MiB live, 7.3MiB 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
✓	98.8%	(fma.f64 (neg.f64 y.im) x.im (*.f64 y.re x.re))
✓	98.0%	(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))
✓	56.0%	#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 y.im) x.im))
✓	49.4%	#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 x.re y.re))

Compiler

Compiled 58 to 52 computations (10.3% saved)

regimes23.0ms (1.1%)

Memory

-11.0MiB live, 34.7MiB allocated; 5ms collecting garbage

Counts

5 → 1

Calls

Call 1

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 (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

7 calls:

10.0ms	(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))
2.0ms	x.im
2.0ms	y.re
2.0ms	x.re
2.0ms	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)

regimes13.0ms (0.6%)

Memory

27.2MiB live, 27.2MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
98.0%	1	`(*.f64 x.im y.im)`
98.0%	1	`(*.f64 x.re y.re)`
98.0%	1	`(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))`
98.0%	1	`x.re`
98.0%	1	`x.im`
98.0%	1	`y.re`
98.0%	1	`y.im`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

regimes19.0ms (0.9%)

Memory

-16.2MiB live, 29.2MiB allocated; 5ms collecting garbage

Counts

3 → 3

Calls

Call 1

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))

Calls

7 calls:

10.0ms	y.re
2.0ms	y.im
2.0ms	x.im
1.0ms	x.re
1.0ms	(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))

Results

Accuracy	Segments	Branch
78.0%	3	`(*.f64 x.im y.im)`
79.5%	3	`(*.f64 x.re y.re)`
65.3%	5	`(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))`
72.7%	3	`x.re`
71.7%	3	`x.im`
73.1%	3	`y.re`
73.8%	3	`y.im`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

regimes7.0ms (0.3%)

Memory

19.6MiB live, 19.6MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 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))

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
49.4%	1	`(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))`
49.4%	1	`x.im`
49.4%	1	`x.re`
49.4%	1	`y.re`
49.4%	1	`y.im`
49.4%	1	`(*.f64 x.im y.im)`
49.4%	1	`(*.f64 x.re y.re)`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

bsearch34.0ms (1.6%)

Memory

-18.0MiB live, 27.6MiB allocated; 4ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	4.872818973404527e-45	5.209983176570861e-28
23.0ms	-4.3564620176142535e+37	-5.197123285265619e+36

Samples

8.0ms	255×	0	valid
0.0ms	1×	1	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 (46.9% of total)

ival-mult!: 1.0ms (46.9% of total)

adjust: 0.0ms (0% of total)

derivations131.0ms (6.3%)

Memory

-25.4MiB live, 75.4MiB allocated; 40ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 27 to 22 computations (18.5% saved)

preprocess47.0ms (2.3%)

Memory

43.1MiB live, 87.8MiB allocated; 6ms collecting garbage

Remove

(sort x.im y.im)

(sort x.re y.re)

Compiler

Compiled 214 to 193 computations (9.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample570.0ms (27.4%)

preprocess24.0ms (1.2%)

series14.0ms (0.7%)

rewrite301.0ms (14.5%)

eval4.0ms (0.2%)

prune2.0ms (0.1%)

series11.0ms (0.5%)

rewrite194.0ms (9.3%)

eval68.0ms (3.3%)

prune10.0ms (0.5%)

series25.0ms (1.2%)

rewrite282.0ms (13.6%)

eval2.0ms (0.1%)

prune2.0ms (0.1%)

series9.0ms (0.4%)

rewrite283.0ms (13.6%)

eval2.0ms (0.1%)

prune2.0ms (0.1%)

regimes23.0ms (1.1%)

regimes13.0ms (0.6%)

regimes19.0ms (0.9%)

regimes7.0ms (0.3%)

bsearch34.0ms (1.6%)

derivations131.0ms (6.3%)

preprocess47.0ms (2.3%)

end0.0ms (0%)

Profiling