Metrics for _multiplyComplex, imaginary part

start0.0ms (0.0%)

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

analyze0.0ms (0.0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0.0%	0.0%	99.8%	0.2%	0.0%	0.0%	0.0%	0
100.0%	99.8%	0.0%	0.2%	0.0%	0.0%	0.0%	1

Compiler

Compiled 9 to 9 computations (0.0% saved)

sample663.0ms (41.1%)

Memory

-11.2MiB live, 1 147.2MiB allocated; 257ms collecting garbage

Samples

418.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 162.0ms

ival-mult!: 143.0ms (88.1% of total)

ival-add!: 19.0ms (11.7% of total)

adjust: 1.0ms (0.6% of total)

Bogosity

preprocess27.0ms (1.7%)

Memory

-3.8MiB live, 42.6MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	109
1	98	105
2	217	105
3	329	105
4	329	105

Stop Event

1×

saturated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))

Symmetry

(sort x.re y.im)

(sort x.im y.re)

Compiler

Compiled 14 to 14 computations (0.0% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs

Outputs

series24.0ms (1.5%)

Memory

-16.4MiB live, 33.5MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	190

Stop Event

1×	iter-limit

Counts

7 → 15

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable	Point
1.0ms	y.re	-inf
1.0ms	x.re	-inf
1.0ms	x.re	inf
1.0ms	y.im	-inf
1.0ms	x.im	-inf

rewrite229.0ms (14.2%)

Memory

45.0MiB live, 183.1MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
0	10	17
1	35	17
2	102	17
3	237	17
4	404	17
5	731	17
6	3409	17
0	4547	16

Stop Event

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

Counts

7 → 39

Calls

Call 1

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

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

eval12.0ms (0.8%)

Memory: -18.2MiB live, 24.5MiB allocated; 8ms collecting garbage
Compiler: Compiled 684 to 153 computations (77.6% saved)

prune2.0ms (0.1%)

Memory

6.2MiB live, 6.2MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	46	2	48
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	47	2	49

Accuracy

100.0%

Counts

49 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 y.im x.re (*.f64 y.re x.im))
▶	56.3%	#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 x.im y.re))

Compiler

Compiled 17 to 15 computations (11.8% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs

Outputs

series11.0ms (0.7%)

Memory

-17.5MiB live, 26.8MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	193

Stop Event

1×	iter-limit

Counts

8 → 15

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable	Point
1.0ms	y.re	-inf
1.0ms	x.im	-inf
1.0ms	y.re	inf
0.0ms	x.im	inf
0.0ms	x.re	-inf

rewrite253.0ms (15.6%)

Memory

12.4MiB live, 195.2MiB allocated; 52ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	27
0	15	26
1	66	26
2	153	26
3	306	26
4	460	26
5	787	26
6	3465	26
0	4603	26

Stop Event

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

Counts

8 → 40

Calls

Call 1

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

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

eval4.0ms (0.3%)

Memory: 9.5MiB live, 9.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 682 to 145 computations (78.7% saved)

prune2.0ms (0.1%)

Memory

4.3MiB live, 4.3MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	44	1	45
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	44	3	47

Accuracy

100.0%

Counts

47 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 y.im x.re (*.f64 y.re x.im))
▶	48.4%	#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 x.re y.im))
✓	56.3%	#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 x.im y.re))

Compiler

Compiled 28 to 24 computations (14.3% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs

Outputs

series6.0ms (0.4%)

Memory

12.4MiB live, 12.4MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	184

Stop Event

1×	iter-limit

Counts

4 → 13

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable	Point
1.0ms	x.re	-inf
0.0ms	y.im	-inf
0.0ms	x.re	inf
0.0ms	y.im	inf
0.0ms	x.re	0

rewrite242.0ms (15.0%)

Memory

11.6MiB live, 152.9MiB allocated; 53ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
0	10	16
1	35	16
2	102	16
3	237	16
4	404	16
5	731	16
6	3409	16
0	4547	15

Stop Event

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

Counts

4 → 8

Calls

Call 1

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

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

eval2.0ms (0.1%)

Memory: 3.9MiB live, 3.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 272 to 67 computations (75.4% saved)

prune5.0ms (0.3%)

Memory

-43.3MiB live, 3.0MiB allocated; 7ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	17	0	17
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	17	3	20

Accuracy

100.0%

Counts

20 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 y.im x.re (*.f64 y.re x.im))
✓	48.4%	#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 x.re y.im))
✓	56.3%	#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 x.im y.re))

Compiler

Compiled 28 to 24 computations (14.3% saved)

regimes46.0ms (2.8%)

Memory

25.4MiB live, 116.0MiB allocated; 8ms collecting garbage

Counts

1 → 1

2 → 3

4 → 1

Calls

Call 1

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

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

Call 2

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

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

Call 3

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

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

Calls

21 calls:

4.0ms	x.re
2.0ms	x.im
2.0ms	x.re
2.0ms	y.re
2.0ms	y.im

Results

Accuracy	Segments	Branch
56.3%	1	`(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))`
56.3%	1	`y.im`
56.3%	1	`x.im`
56.3%	1	`(*.f64 x.re y.im)`
56.3%	1	`x.re`
56.3%	1	`y.re`
56.3%	1	`(*.f64 x.im y.re)`
82.4%	3	`(*.f64 x.im y.re)`
73.1%	3	`(*.f64 x.re y.im)`
62.5%	3	`(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))`
73.1%	3	`x.re`
71.5%	3	`x.im`
76.6%	3	`y.re`
68.8%	3	`y.im`
100.0%	1	`(*.f64 x.im y.re)`
100.0%	1	`(*.f64 x.re y.im)`
100.0%	1	`(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))`
100.0%	1	`x.re`
100.0%	1	`x.im`
100.0%	1	`y.re`
100.0%	1	`y.im`

Compiler

Compiled 86 to 113 computations (-31.4% saved)

bsearch35.0ms (2.2%)

Memory

5.4MiB live, 53.1MiB allocated; 13ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	1.148971076502478e+33	3.6722889273959956e+42
23.0ms	-2.7948551755586988e-77	-1.1216462257617753e-105

Samples

23.0ms

320×

valid

Compiler

Compiled 412 to 395 computations (4.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult!: 14.0ms (92.6% of total)

ival-add!: 1.0ms (6.6% of total)

adjust: 0.0ms (0.0% of total)

derivations26.0ms (1.6%)

Memory

-17.8MiB live, 26.4MiB allocated; 7ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 62 to 19 computations (69.4% saved)

preprocess26.0ms (1.6%)

Memory: 23.0MiB live, 67.7MiB allocated; 5ms collecting garbage
Compiler: Compiled 317 to 154 computations (51.4% saved)

end0.0ms (0.0%)

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

start0.0ms (0.0%)

analyze0.0ms (0.0%)

sample663.0ms (41.1%)

preprocess27.0ms (1.7%)

sample0.0ms (0.0%)

series24.0ms (1.5%)

rewrite229.0ms (14.2%)

eval12.0ms (0.8%)

prune2.0ms (0.1%)

sample0.0ms (0.0%)

series11.0ms (0.7%)

rewrite253.0ms (15.6%)

eval4.0ms (0.3%)

prune2.0ms (0.1%)

sample0.0ms (0.0%)

series6.0ms (0.4%)

rewrite242.0ms (15.0%)

eval2.0ms (0.1%)

prune5.0ms (0.3%)

regimes46.0ms (2.8%)

bsearch35.0ms (2.2%)

derivations26.0ms (1.6%)

preprocess26.0ms (1.6%)

end0.0ms (0.0%)

Profiling