Metrics for _multiplyComplex, real part

start0.0ms (0.0%)

Memory: 0.0MiB live, 0.0MiB 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)

sample731.0ms (37.1%)

Memory

20.2MiB live, 1 071.4MiB allocated; 289ms collecting garbage

Samples

482.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 144.0ms

ival-mult!: 109.0ms (75.7% of total)

ival-sub!: 33.0ms (22.9% of total)

adjust: 2.0ms (1.4% of total)

Bogosity

preprocess27.0ms (1.4%)

Memory

-31.2MiB live, 57.6MiB allocated; 19ms 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
▶	99.2%	(-.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)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs

Outputs

series17.0ms (0.9%)

Memory

4.8MiB live, 51.1MiB allocated; 4ms 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
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

rewrite248.0ms (12.6%)

Memory

12.6MiB live, 159.2MiB allocated; 20ms 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
(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))
(*.f64 x.re y.re)
x.re
y.re
(*.f64 x.im y.im)
x.im
y.im

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

eval5.0ms (0.2%)

Memory: 17.2MiB live, 17.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 740 to 160 computations (78.4% saved)

prune4.0ms (0.2%)

Memory

-38.2MiB live, 8.6MiB allocated; 4ms 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
▶	99.2%	(fma.f64 (neg.f64 y.im) x.im (*.f64 y.re x.re))
✓	99.2%	(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))
▶	49.2%	#s(approx (- (* x.re y.re) (* x.im y.im)) (.f64 #s(literal -1 binary64) (.f64 x.im y.im)))

Compiler

Compiled 27 to 25 computations (7.4% saved)

sample0.0ms (0.0%)

Memory

0.6MiB live, 0.6MiB 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)

series11.0ms (0.5%)

Memory

35.3MiB live, 35.3MiB 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
1.0ms	y.im	-inf
1.0ms	x.re	-inf
1.0ms	y.re	-inf
1.0ms	x.im	-inf
1.0ms	y.im	inf

rewrite112.0ms (5.7%)

Memory

-16.0MiB live, 172.3MiB allocated; 20ms 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	1690	36
0	4117	36

Stop Event

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

Counts

11 → 287

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

eval72.0ms (3.6%)

Memory: -14.6MiB live, 80.8MiB allocated; 19ms collecting garbage
Compiler: Compiled 5 576 to 977 computations (82.5% saved)

prune5.0ms (0.3%)

Memory

18.9MiB live, 18.9MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	300	1	301
Fresh	0	0	0
Picked	1	1	2
Done	0	1	1
Total	301	3	304

Accuracy

100.0%

Counts

304 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(fma.f64 (neg.f64 y.im) x.im (*.f64 y.re x.re))
✓	99.2%	(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))
▶	49.2%	#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 y.im) x.im))

Compiler

Compiled 26 to 24 computations (7.7% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs

Outputs

series7.0ms (0.4%)

Memory

20.2MiB live, 20.2MiB 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
#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 y.im) x.im))
(*.f64 (neg.f64 y.im) x.im)
(neg.f64 y.im)
y.im
x.im

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

Calls

12 calls:

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

rewrite247.0ms (12.5%)

Memory

-11.6MiB live, 186.1MiB allocated; 35ms 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
#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: 4.8MiB live, 4.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 305 to 77 computations (74.8% saved)

prune2.0ms (0.1%)

Memory

4.2MiB live, 4.2MiB 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
✓	99.2%	(fma.f64 (neg.f64 y.im) x.im (*.f64 y.re x.re))
✓	99.2%	(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))
✓	49.2%	#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 y.im) x.im))
▶	55.0%	#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 x.re y.re))

Compiler

Compiled 37 to 33 computations (10.8% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs

Outputs

series8.0ms (0.4%)

Memory

-32.0MiB live, 14.3MiB allocated; 2ms 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
2.0ms	x.re	-inf
1.0ms	y.re	-inf
0.0ms	x.re	inf
0.0ms	y.re	inf
0.0ms	x.re	0

rewrite255.0ms (12.9%)

Memory

10.6MiB live, 155.1MiB allocated; 15ms 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
#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 x.re y.re))
(*.f64 x.re y.re)
x.re
y.re

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

eval2.0ms (0.1%)

Memory: 4.5MiB live, 4.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 304 to 73 computations (76.0% saved)

prune2.0ms (0.1%)

Memory

3.9MiB live, 3.9MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	19	0	19
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	19	4	23

Accuracy

100.0%

Counts

23 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(fma.f64 (neg.f64 y.im) x.im (*.f64 y.re x.re))
✓	99.2%	(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))
✓	49.2%	#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 y.im) x.im))
✓	55.0%	#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 x.re y.re))

Compiler

Compiled 37 to 33 computations (10.8% saved)

regimes102.0ms (5.2%)

Memory

-4.7MiB live, 138.0MiB allocated; 12ms collecting garbage

Counts

1 → 1

3 → 3

4 → 1

5 → 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 (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

28 calls:

10.0ms	(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))
10.0ms	x.im
3.0ms	x.re
3.0ms	y.re
2.0ms	y.im

Results

Accuracy	Segments	Branch
55.0%	1	`(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))`
55.0%	1	`x.im`
55.0%	1	`y.re`
55.0%	1	`x.re`
55.0%	1	`y.im`
55.0%	1	`(*.f64 x.im y.im)`
55.0%	1	`(*.f64 x.re y.re)`
75.6%	3	`(*.f64 x.im y.im)`
77.7%	3	`(*.f64 x.re y.re)`
61.4%	4	`(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))`
72.7%	3	`x.re`
70.3%	3	`x.im`
71.3%	3	`y.re`
73.7%	3	`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`
99.2%	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`

Compiler

Compiled 118 to 151 computations (-28.0% saved)

bsearch39.0ms (2.0%)

Memory

7.4MiB live, 53.4MiB allocated; 4ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
28.0ms	2.31287768799882e-29	3.631172716060832e-21
10.0ms	-7.743837970792384e-112	-2.579663120961015e-119

Samples

28.0ms

288×

valid

Compiler

Compiled 390 to 375 computations (3.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult!: 3.0ms (89.0% of total)

ival-sub!: 1.0ms (29.7% of total)

adjust: 0.0ms (0.0% of total)

derivations36.0ms (1.8%)

Memory

10.4MiB live, 55.7MiB allocated; 6ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 71 to 22 computations (69.0% saved)

preprocess38.0ms (1.9%)

Memory: -22.4MiB live, 121.9MiB allocated; 13ms collecting garbage
Compiler: Compiled 362 to 193 computations (46.7% saved)

end0.0ms (0.0%)

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

start0.0ms (0.0%)

analyze0.0ms (0.0%)

sample731.0ms (37.1%)

preprocess27.0ms (1.4%)

sample0.0ms (0.0%)

series17.0ms (0.9%)

rewrite248.0ms (12.6%)

eval5.0ms (0.2%)

prune4.0ms (0.2%)

sample0.0ms (0.0%)

series11.0ms (0.5%)

rewrite112.0ms (5.7%)

eval72.0ms (3.6%)

prune5.0ms (0.3%)

sample0.0ms (0.0%)

series7.0ms (0.4%)

rewrite247.0ms (12.5%)

eval2.0ms (0.1%)

prune2.0ms (0.1%)

sample0.0ms (0.0%)

series8.0ms (0.4%)

rewrite255.0ms (12.9%)

eval2.0ms (0.1%)

prune2.0ms (0.1%)

regimes102.0ms (5.2%)

bsearch39.0ms (2.0%)

derivations36.0ms (1.8%)

preprocess38.0ms (1.9%)

end0.0ms (0.0%)

Profiling