Metrics for _multiplyComplex, real part

start0.0ms (0.0%)

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

analyze0.0ms (0.0%)

Memory

0.6MiB live, 0.6MiB 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)

sample690.0ms (1.5%)

Memory

-8.5MiB live, 984.8MiB allocated; 191ms collecting garbage

Samples

426.0ms

8 256×

valid

Precisions

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

ival-mult!: 93.0ms (72.5% of total)

ival-sub!: 22.0ms (17.1% of total)

adjust: 13.0ms (10.1% of total)

Bogosity

preprocess19.0ms (0.0%)

Memory

34.6MiB live, 34.6MiB allocated; 0ms 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
▶	97.6%	(-.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)

series21.0ms (0.0%)

Memory

-11.4MiB live, 35.7MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	225

Stop Event

1×	iter-limit

Counts

7 → 17

Calls

Call 1

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

Outputs
#s(approx x.re x.re)
#s(approx (* x.re y.re) (*.f64 x.re y.re))
#s(approx (- (* x.re y.re) (* x.im y.im)) (.f64 #s(literal -1 binary64) (.f64 x.im y.im)))
#s(approx (- (* x.re y.re) (* x.im y.im)) (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)))
#s(approx (- (* x.re y.re) (* x.im y.im)) (.f64 x.re (+.f64 y.re (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) x.re)))))
#s(approx (- (* x.re y.re) (* x.im y.im)) (.f64 #s(literal -1 binary64) (.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) y.re) (/.f64 (.f64 x.im y.im) x.re)))))
#s(approx x.im x.im)
#s(approx (* x.im y.im) (*.f64 x.im y.im))
#s(approx (- (* x.re y.re) (* x.im y.im)) (+.f64 (.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 (+.f64 (.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
3.0ms	y.re	-inf
1.0ms	x.re	-inf
1.0ms	y.im	0
1.0ms	x.re	inf
1.0ms	y.im	-inf

rewrite255.0ms (0.6%)

Memory

-18.0MiB live, 169.0MiB allocated; 14ms 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 → 31

Calls

Call 1

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

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

eval3.0ms (0.0%)

Memory: 7.7MiB live, 7.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 696 to 154 computations (77.9% saved)

prune2.0ms (0.0%)

Memory

4.6MiB live, 4.6MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	41	2	43
Fresh	0	0	0
Picked	1	0	1
Done	-1	1	0
Total	41	3	44

Accuracy

100.0%

Counts

44 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

✓

97.6%

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

▶

91.7%

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

▶

52.4%

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

Compiler

Compiled 37 to 30 computations (18.9% saved)

series20.0ms (0.0%)

Memory

31.4MiB live, 31.4MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	111	510

Stop Event

1×	iter-limit

Counts

13 → 32

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable	Point
2.0ms	x.im	inf
1.0ms	x.im	-inf
1.0ms	x.re	-inf
1.0ms	y.re	-inf
1.0ms	x.im	0

rewrite165.0ms (0.4%)

Memory

-16.3MiB live, 258.0MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	67
0	21	65
1	79	65
2	232	65
3	832	61
4	2668	61
0	4116	57

Stop Event

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

Counts

13 → 1 503

Calls

Call 1

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

Outputs
x.re
y.re
x.im
y.im
#s(literal -1 binary64)
(.f64 (.f64 y.im x.im) #s(literal 1 binary64))
(*.f64 (neg.f64 y.im) (neg.f64 x.im))
(.f64 #s(literal 1 binary64) (.f64 y.im x.im))
(*.f64 (neg.f64 x.im) (neg.f64 y.im))
(.f64 (.f64 (neg.f64 y.im) x.im) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 y.im) x.im))
(*.f64 y.im x.im)
(*.f64 x.im y.im)
(/.f64 (neg.f64 (.f64 (.f64 y.im x.im) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (.f64 y.im x.im))) #s(literal -2 binary64))
(/.f64 (.f64 (.f64 y.im x.im) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 y.im x.im)) #s(literal 2 binary64))
(/.f64 (*.f64 y.im x.im) #s(literal 1 binary64))
(/.f64 (.f64 (neg.f64 y.im) x.im) (.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) x.im)))
(/.f64 (*.f64 (neg.f64 y.im) x.im) #s(literal -1 binary64))
(neg.f64 (*.f64 (neg.f64 y.im) x.im))
(+.f64 (.f64 y.im x.im) (.f64 (*.f64 y.im x.im) #s(literal 0 binary64)))
(+.f64 (.f64 y.im x.im) (.f64 #s(literal 0 binary64) (*.f64 y.im x.im)))
(.f64 (.f64 y.im x.im) #s(literal -1 binary64))
(*.f64 (neg.f64 y.im) x.im)
(.f64 #s(literal 1 binary64) (.f64 (neg.f64 y.im) x.im))
(*.f64 (neg.f64 x.im) y.im)
(.f64 (.f64 (neg.f64 y.im) x.im) #s(literal 1 binary64))
(.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 (neg.f64 (.f64 (.f64 (neg.f64 y.im) x.im) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (.f64 (.f64 (neg.f64 y.im) x.im) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 y.im x.im) (.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) x.im)))
(/.f64 (*.f64 y.im x.im) #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 y.im) x.im) #s(literal 1 binary64))
(neg.f64 (*.f64 y.im x.im))
(+.f64 (.f64 (neg.f64 y.im) x.im) (.f64 (*.f64 (neg.f64 y.im) x.im) #s(literal 0 binary64)))
(+.f64 (.f64 (neg.f64 y.im) x.im) (.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y.im) x.im)))
#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 y.im) x.im))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x.re)) (neg.f64 y.re))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 y.re)) (neg.f64 x.re))
(.f64 (.f64 (*.f64 x.im x.re) (/.f64 #s(literal 1 binary64) x.im)) y.re)
(.f64 (.f64 x.im (/.f64 (neg.f64 x.re) x.im)) (neg.f64 y.re))
(.f64 (.f64 x.im (neg.f64 x.re)) (/.f64 (neg.f64 y.re) x.im))
(.f64 (.f64 x.im (neg.f64 y.re)) (/.f64 (neg.f64 x.re) x.im))
(.f64 (.f64 x.im (/.f64 (neg.f64 y.re) x.im)) (neg.f64 x.re))
(.f64 (.f64 x.im y.re) (/.f64 x.re x.im))
(.f64 (.f64 x.im x.re) (/.f64 y.re x.im))
(.f64 (.f64 (*.f64 x.im (neg.f64 x.re)) y.re) (/.f64 #s(literal -1 binary64) x.im))
(.f64 (.f64 (*.f64 y.re x.re) x.im) (/.f64 #s(literal 1 binary64) x.im))
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(134-z0z1z2z3z4 x.im y.im #s(literal -1 binary64) y.re (/.f64 (neg.f64 x.re) x.im))
(134-z0z1z2z3z4 x.im y.im #s(literal -1 binary64) x.re (/.f64 (neg.f64 y.re) x.im))
(neg.f64 (-.f64 (.f64 y.im x.im) (.f64 y.re x.re)))
(-.f64 (.f64 y.re x.re) (.f64 y.im x.im))
(-.f64 (.f64 (neg.f64 y.im) x.im) (.f64 (neg.f64 (*.f64 x.im y.re)) (/.f64 x.re x.im)))
(-.f64 (.f64 (neg.f64 y.im) x.im) (.f64 (neg.f64 (*.f64 x.im x.re)) (/.f64 y.re x.im)))
(-.f64 (.f64 (neg.f64 y.im) x.im) (.f64 (neg.f64 x.re) y.re))
(+.f64 (.f64 y.re x.re) (.f64 (neg.f64 y.im) x.im))
(+.f64 (.f64 (neg.f64 y.im) x.im) (.f64 y.re x.re))
#s(approx (- (* x.re y.re) (* x.im y.im)) (-.f64 (.f64 y.re x.re) (.f64 y.im x.im)))

eval25.1s (56.2%)

Memory

888.3MiB live, 28 059.7MiB allocated; 12.5s collecting garbage

Samples

13.6s	240 792×	0	valid
5.3s	58 216×	0	invalid

Compiler

Compiled 31 900 to 3 957 computations (87.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.7s

ival-mult!: 4.4s (77.1% of total)

ival-sub!: 910.0ms (16.0% of total)

adjust: 393.0ms (6.9% of total)

prune48.0ms (0.1%)

Memory

-14.9MiB live, 76.5MiB allocated; 24ms collecting garbage

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	1 522	2	1 524
Fresh	0	0	0
Picked	2	0	2
Done	0	1	1
Total	1 524	3	1 527

Accuracy

100.0%

Counts

1 527 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

✓

97.6%

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

▶

100.0%

#s(approx (- (* x.re y.re) (* x.im y.im)) (134-z0z1z2z3z4 #s(literal 1 binary64) y.re x.re y.im x.im))

▶

52.4%

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

Samples

17.0ms

256×

valid

Compiler

Compiled 33 to 27 computations (18.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult!: 4.0ms (84.4% of total)

ival-sub!: 1.0ms (21.1% of total)

adjust: 0.0ms (0.0% of total)

series13.0ms (0.0%)

Memory

21.8MiB live, 21.8MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	228

Stop Event

1×	iter-limit

Counts

10 → 17

Calls

Call 1

Inputs
x.re
y.re
x.im
y.im
(neg.f64 y.im)
(*.f64 (neg.f64 y.im) x.im)
#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 y.im) x.im))
#s(literal 1 binary64)
(134-z0z1z2z3z4 #s(literal 1 binary64) y.re x.re y.im x.im)
#s(approx (- (* x.re y.re) (* x.im y.im)) (134-z0z1z2z3z4 #s(literal 1 binary64) y.re x.re y.im x.im))

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

Calls

12 calls:

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

rewrite188.0ms (0.4%)

Memory

13.1MiB live, 245.5MiB allocated; 41ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	43
0	19	41
1	78	41
2	159	41
3	547	41
4	2385	41
0	4212	41

Stop Event

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

Counts

10 → 956

Calls

Call 1

Inputs
x.re
y.re
x.im
y.im
(neg.f64 y.im)
(*.f64 (neg.f64 y.im) x.im)
#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 y.im) x.im))
#s(literal 1 binary64)
(134-z0z1z2z3z4 #s(literal 1 binary64) y.re x.re y.im x.im)
#s(approx (- (* x.re y.re) (* x.im y.im)) (134-z0z1z2z3z4 #s(literal 1 binary64) y.re x.re y.im x.im))

Outputs
x.re
y.re
x.im
y.im
(.f64 (.f64 (neg.f64 y.im) #s(literal -1 binary64)) #s(literal -1 binary64))
(.f64 (.f64 (neg.f64 y.im) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1 binary64) (neg.f64 y.im)))
(.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 (neg.f64 (*.f64 (neg.f64 y.im) #s(literal 4 binary64))) #s(literal -4 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 #s(literal 4 binary64) (neg.f64 y.im))) #s(literal -4 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (neg.f64 y.im))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (neg.f64 y.im))) #s(literal -2 binary64))
(/.f64 (*.f64 (neg.f64 y.im) #s(literal 4 binary64)) #s(literal 4 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 4 binary64) (neg.f64 y.im)) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) (neg.f64 y.im)) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 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)
(+.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 0 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 0 binary64) (neg.f64 y.im)) (neg.f64 y.im))
(+.f64 (neg.f64 y.im) (*.f64 (neg.f64 y.im) #s(literal 0 binary64)))
(+.f64 (neg.f64 y.im) (*.f64 #s(literal 0 binary64) (neg.f64 y.im)))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) (*.f64 (neg.f64 y.im) x.im)) #s(literal 8 binary64)) #s(literal 4 binary64))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) (*.f64 (neg.f64 y.im) x.im)) #s(literal 4 binary64)) #s(literal 2 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 y.im x.im) #s(literal -2 binary64)) #s(literal 2 binary64))
(.f64 (.f64 #s(literal 2 binary64) (*.f64 (neg.f64 y.im) x.im)) #s(literal 1/2 binary64))
(.f64 #s(literal -1 binary64) (.f64 y.im x.im))
(.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 y.im) x.im)))
(.f64 #s(literal 2 binary64) (/.f64 (.f64 y.im x.im) #s(literal -2 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 (.f64 y.im x.im) #s(literal -1 binary64))
(*.f64 y.im (neg.f64 x.im))
(*.f64 x.im (neg.f64 y.im))
(/.f64 (neg.f64 (.f64 (.f64 (neg.f64 y.im) x.im) #s(literal 4 binary64))) #s(literal -4 binary64))
(/.f64 (neg.f64 (.f64 (.f64 (neg.f64 y.im) x.im) #s(literal -2 binary64))) #s(literal 2 binary64))
(/.f64 (neg.f64 (.f64 #s(literal 4 binary64) (.f64 (neg.f64 y.im) x.im))) #s(literal -4 binary64))
(/.f64 (neg.f64 (.f64 #s(literal -2 binary64) (.f64 (neg.f64 y.im) x.im))) #s(literal 2 binary64))
(/.f64 (neg.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 y.im x.im)) #s(literal -1 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (*.f64 (neg.f64 y.im) x.im)))) #s(literal -8 binary64))
(/.f64 (neg.f64 (.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (*.f64 (neg.f64 y.im) x.im)))) #s(literal 4 binary64))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 (neg.f64 y.im) x.im)))) #s(literal -4 binary64))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 2 binary64) (*.f64 (neg.f64 y.im) x.im)) #s(literal 4 binary64))) #s(literal -8 binary64))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 2 binary64) (*.f64 (neg.f64 y.im) x.im)) #s(literal -2 binary64))) #s(literal 4 binary64))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 2 binary64) (*.f64 (neg.f64 y.im) x.im)) #s(literal 2 binary64))) #s(literal -4 binary64))
(/.f64 (neg.f64 (neg.f64 (.f64 #s(literal 2 binary64) (.f64 (neg.f64 y.im) x.im)))) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 (neg.f64 y.im) x.im) #s(literal 4 binary64)) #s(literal 4 binary64))
(/.f64 (.f64 (.f64 (neg.f64 y.im) x.im) #s(literal -2 binary64)) #s(literal -2 binary64))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (neg.f64 y.im) x.im)) #s(literal 4 binary64))
(/.f64 (.f64 #s(literal -2 binary64) (.f64 (neg.f64 y.im) x.im)) #s(literal -2 binary64))
(/.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 y.im x.im)) #s(literal -1 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 y.im x.im)) #s(literal -2 binary64))
(/.f64 (.f64 (.f64 y.im x.im) #s(literal 2 binary64)) #s(literal -2 binary64))
(/.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 (pow.f64 (.f64 (neg.f64 y.im) x.im) #s(literal 3 binary64)) (pow.f64 #s(literal 0 binary64) #s(literal 3 binary64))) (+.f64 (.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 (.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (*.f64 (neg.f64 y.im) x.im))) #s(literal 8 binary64))
(/.f64 (.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (*.f64 (neg.f64 y.im) x.im))) #s(literal -4 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 (neg.f64 y.im) x.im))) #s(literal 4 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (*.f64 (neg.f64 y.im) x.im)) #s(literal 4 binary64)) #s(literal 8 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (*.f64 (neg.f64 y.im) x.im)) #s(literal -2 binary64)) #s(literal -4 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (*.f64 (neg.f64 y.im) x.im)) #s(literal 2 binary64)) #s(literal 4 binary64))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (.f64 (neg.f64 y.im) x.im))) #s(literal -2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (neg.f64 y.im) x.im)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 (neg.f64 y.im) x.im))))
(/.f64 (*.f64 (neg.f64 y.im) x.im) #s(literal 1 binary64))
(/.f64 (*.f64 y.im x.im) #s(literal -1 binary64))
(134-z0z1z2z3z4 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 (neg.f64 y.im) x.im)) #s(literal 8 binary64)) #s(literal 4 binary64) (*.f64 y.im x.im) #s(literal 0 binary64))
(134-z0z1z2z3z4 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 (neg.f64 y.im) x.im)) #s(literal 4 binary64)) #s(literal 2 binary64) (*.f64 y.im x.im) #s(literal 0 binary64))
(134-z0z1z2z3z4 #s(literal 1 binary64) (/.f64 (.f64 y.im x.im) #s(literal -2 binary64)) #s(literal 2 binary64) (.f64 y.im x.im) #s(literal 0 binary64))
(134-z0z1z2z3z4 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 (neg.f64 y.im) x.im)) #s(literal 1/2 binary64) (*.f64 y.im x.im) #s(literal 0 binary64))
(134-z0z1z2z3z4 #s(literal 1 binary64) #s(literal -1 binary64) (.f64 y.im x.im) (.f64 y.im x.im) #s(literal 0 binary64))
(134-z0z1z2z3z4 #s(literal 1 binary64) #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 y.im) x.im)) (*.f64 y.im x.im) #s(literal 0 binary64))
(134-z0z1z2z3z4 #s(literal 1 binary64) #s(literal 2 binary64) (/.f64 (.f64 y.im x.im) #s(literal -2 binary64)) (.f64 y.im x.im) #s(literal 0 binary64))
(134-z0z1z2z3z4 #s(literal 1 binary64) (neg.f64 x.im) y.im (*.f64 y.im x.im) #s(literal 0 binary64))
(134-z0z1z2z3z4 #s(literal 1 binary64) #s(literal 1 binary64) (.f64 (neg.f64 y.im) x.im) (.f64 y.im x.im) #s(literal 0 binary64))
(134-z0z1z2z3z4 #s(literal 1 binary64) (.f64 (neg.f64 y.im) x.im) #s(literal 1 binary64) (.f64 y.im x.im) #s(literal 0 binary64))
(134-z0z1z2z3z4 #s(literal 1 binary64) (neg.f64 y.im) x.im (*.f64 y.im x.im) #s(literal 0 binary64))
(134-z0z1z2z3z4 #s(literal 1 binary64) (.f64 y.im x.im) #s(literal -1 binary64) (.f64 y.im x.im) #s(literal 0 binary64))
(134-z0z1z2z3z4 #s(literal 1 binary64) y.im (neg.f64 x.im) (*.f64 y.im x.im) #s(literal 0 binary64))
(134-z0z1z2z3z4 #s(literal 1 binary64) x.im (neg.f64 y.im) (*.f64 y.im x.im) #s(literal 0 binary64))
(neg.f64 (*.f64 y.im x.im))
(-.f64 (.f64 (neg.f64 y.im) x.im) (.f64 (*.f64 y.im x.im) #s(literal 0 binary64)))
(-.f64 (*.f64 (neg.f64 y.im) x.im) #s(literal 0 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 #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 #s(literal 0 binary64) (*.f64 (neg.f64 y.im) x.im))
(+.f64 (*.f64 (neg.f64 y.im) x.im) #s(literal 0 binary64))
#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 y.im) x.im))
#s(literal 1 binary64)
(.f64 (/.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 y.im x.im) (.f64 y.re x.re))) #s(literal 8 binary64)) #s(literal 4 binary64))
(.f64 (/.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 y.im x.im) (.f64 y.re x.re))) #s(literal 4 binary64)) #s(literal 2 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (-.f64 (.f64 y.re x.re) (.f64 y.im x.im)))) (-.f64 (.f64 y.re x.re) (*.f64 y.im x.im)))
(.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 (-.f64 (.f64 y.im x.im) (*.f64 y.re x.re)) #s(literal -2 binary64)) #s(literal 2 binary64))
(.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 y.im x.im) (.f64 y.re x.re))) #s(literal 1/2 binary64))
(.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 #s(literal -1 binary64) (-.f64 (.f64 y.im x.im) (*.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 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 y.re x.re) (.f64 y.im x.im))))
(.f64 #s(literal 2 binary64) (/.f64 (-.f64 (.f64 y.im x.im) (*.f64 y.re x.re)) #s(literal -2 binary64)))
(.f64 (-.f64 (.f64 y.im x.im) (*.f64 y.re x.re)) #s(literal -1 binary64))
(.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 y.re x.re) (*.f64 y.im x.im)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (-.f64 (.f64 y.re x.re) (*.f64 y.im x.im)))
(/.f64 (neg.f64 (/.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 y.im x.im) (*.f64 y.re x.re))) #s(literal 1 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 (neg.f64 y.im) x.im)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 2 binary64) (.f64 y.re x.re)) #s(literal 2 binary64)))) #s(literal -4 binary64))
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(134-z0z1z2z3z4 #s(literal 1 binary64) x.im (neg.f64 y.im) x.re (neg.f64 y.re))
(134-z0z1z2z3z4 #s(literal 1 binary64) (.f64 y.re x.re) #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x.im) (neg.f64 y.im))
(134-z0z1z2z3z4 #s(literal 1 binary64) (.f64 y.re x.re) #s(literal 1 binary64) (.f64 #s(literal -1 binary64) y.im) (neg.f64 x.im))
(134-z0z1z2z3z4 #s(literal 1 binary64) (.f64 y.re x.re) #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (neg.f64 y.im)) x.im)
(134-z0z1z2z3z4 #s(literal 1 binary64) (.f64 y.re x.re) #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (neg.f64 x.im)) y.im)
(134-z0z1z2z3z4 #s(literal 1 binary64) (.f64 y.re x.re) #s(literal 1 binary64) (.f64 (*.f64 y.im x.im) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(134-z0z1z2z3z4 #s(literal 1 binary64) (.f64 y.re x.re) #s(literal 1 binary64) #s(literal -1 binary64) (.f64 (neg.f64 y.im) x.im))
(134-z0z1z2z3z4 #s(literal 1 binary64) (.f64 y.re x.re) #s(literal 1 binary64) #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 y.im x.im)))
(134-z0z1z2z3z4 #s(literal 1 binary64) (*.f64 y.re x.re) #s(literal 1 binary64) (neg.f64 x.im) (neg.f64 y.im))
(134-z0z1z2z3z4 #s(literal 1 binary64) (.f64 y.re x.re) #s(literal 1 binary64) #s(literal 1 binary64) (.f64 y.im x.im))
(134-z0z1z2z3z4 #s(literal 1 binary64) (.f64 y.re x.re) #s(literal 1 binary64) (.f64 (neg.f64 y.im) x.im) #s(literal -1 binary64))
(134-z0z1z2z3z4 #s(literal 1 binary64) (*.f64 y.re x.re) #s(literal 1 binary64) (neg.f64 y.im) (neg.f64 x.im))
(134-z0z1z2z3z4 #s(literal 1 binary64) (.f64 y.re x.re) #s(literal 1 binary64) (.f64 y.im x.im) #s(literal 1 binary64))
(134-z0z1z2z3z4 #s(literal 1 binary64) (*.f64 y.re x.re) #s(literal 1 binary64) y.im x.im)
(134-z0z1z2z3z4 #s(literal 1 binary64) (*.f64 y.re x.re) #s(literal 1 binary64) x.im y.im)
(134-z0z1z2z3z4 #s(literal 1 binary64) y.re x.re (*.f64 #s(literal -1 binary64) x.im) (neg.f64 y.im))
(134-z0z1z2z3z4 #s(literal 1 binary64) y.re x.re (*.f64 #s(literal -1 binary64) y.im) (neg.f64 x.im))
(134-z0z1z2z3z4 #s(literal 1 binary64) y.re x.re (*.f64 #s(literal -1 binary64) (neg.f64 y.im)) x.im)
(134-z0z1z2z3z4 #s(literal 1 binary64) y.re x.re (*.f64 #s(literal -1 binary64) (neg.f64 x.im)) y.im)
(134-z0z1z2z3z4 #s(literal 1 binary64) y.re x.re (.f64 (.f64 y.im x.im) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(134-z0z1z2z3z4 #s(literal 1 binary64) y.re x.re #s(literal -1 binary64) (*.f64 (neg.f64 y.im) x.im))
(134-z0z1z2z3z4 #s(literal 1 binary64) y.re x.re #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (.f64 y.im x.im)))
(134-z0z1z2z3z4 #s(literal 1 binary64) y.re x.re (neg.f64 x.im) (neg.f64 y.im))
(134-z0z1z2z3z4 #s(literal 1 binary64) y.re x.re #s(literal 1 binary64) (*.f64 y.im x.im))
(134-z0z1z2z3z4 #s(literal 1 binary64) y.re x.re (*.f64 (neg.f64 y.im) x.im) #s(literal -1 binary64))
(134-z0z1z2z3z4 #s(literal 1 binary64) y.re x.re (neg.f64 y.im) (neg.f64 x.im))
(134-z0z1z2z3z4 #s(literal 1 binary64) y.re x.re (*.f64 y.im x.im) #s(literal 1 binary64))
(134-z0z1z2z3z4 #s(literal 1 binary64) y.re x.re y.im x.im)
(134-z0z1z2z3z4 #s(literal 1 binary64) y.re x.re x.im y.im)
(134-z0z1z2z3z4 #s(literal 1 binary64) x.re y.re (*.f64 #s(literal -1 binary64) x.im) (neg.f64 y.im))
(134-z0z1z2z3z4 #s(literal 1 binary64) x.re y.re (*.f64 #s(literal -1 binary64) y.im) (neg.f64 x.im))
(134-z0z1z2z3z4 #s(literal 1 binary64) x.re y.re (*.f64 #s(literal -1 binary64) (neg.f64 y.im)) x.im)
(134-z0z1z2z3z4 #s(literal 1 binary64) x.re y.re (*.f64 #s(literal -1 binary64) (neg.f64 x.im)) y.im)
(134-z0z1z2z3z4 #s(literal 1 binary64) x.re y.re (.f64 (.f64 y.im x.im) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(134-z0z1z2z3z4 #s(literal 1 binary64) x.re y.re #s(literal -1 binary64) (*.f64 (neg.f64 y.im) x.im))
(134-z0z1z2z3z4 #s(literal 1 binary64) x.re y.re #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (.f64 y.im x.im)))
(134-z0z1z2z3z4 #s(literal 1 binary64) x.re y.re (neg.f64 x.im) (neg.f64 y.im))
(134-z0z1z2z3z4 #s(literal 1 binary64) x.re y.re #s(literal 1 binary64) (*.f64 y.im x.im))
(134-z0z1z2z3z4 #s(literal 1 binary64) x.re y.re (*.f64 (neg.f64 y.im) x.im) #s(literal -1 binary64))
(134-z0z1z2z3z4 #s(literal 1 binary64) x.re y.re (neg.f64 y.im) (neg.f64 x.im))
(134-z0z1z2z3z4 #s(literal 1 binary64) x.re y.re (*.f64 y.im x.im) #s(literal 1 binary64))
(134-z0z1z2z3z4 #s(literal 1 binary64) x.re y.re y.im x.im)
(134-z0z1z2z3z4 #s(literal 1 binary64) x.re y.re x.im y.im)
(neg.f64 (-.f64 (.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 (neg.f64 y.im) x.im) (-.f64 (.f64 (neg.f64 y.re) x.re) #s(literal 0 binary64)))
(-.f64 (.f64 (neg.f64 y.im) x.im) (.f64 (neg.f64 y.re) x.re))
(-.f64 (.f64 y.re x.re) (-.f64 (.f64 y.im x.im) #s(literal 0 binary64)))
(-.f64 (.f64 y.re x.re) (.f64 y.im x.im))
(+.f64 (.f64 (-.f64 (.f64 y.re x.re) (.f64 y.im x.im)) #s(literal 1/2 binary64)) (.f64 (-.f64 (.f64 y.re x.re) (.f64 y.im x.im)) #s(literal 1/2 binary64)))
(+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 y.re x.re) (.f64 y.im x.im))) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 y.re x.re) (.f64 y.im x.im))))
(+.f64 #s(literal 0 binary64) (-.f64 (.f64 y.re x.re) (.f64 y.im x.im)))
(+.f64 (-.f64 (.f64 y.re x.re) (.f64 y.im x.im)) #s(literal 0 binary64))
(+.f64 (.f64 (neg.f64 y.im) x.im) (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 y.re) x.re)))
(+.f64 (.f64 (neg.f64 y.im) x.im) (.f64 y.re x.re))
(+.f64 (.f64 y.re x.re) (-.f64 #s(literal 0 binary64) (.f64 y.im x.im)))
(+.f64 (.f64 y.re x.re) (.f64 (neg.f64 y.im) x.im))
#s(approx (- (* x.re y.re) (* x.im y.im)) (-.f64 (.f64 y.re x.re) (.f64 y.im x.im)))

eval17.0s (38.1%)

Memory

-477.7MiB live, 25 528.3MiB allocated; 7.6s collecting garbage

Samples

10.6s	175 980×	0	valid
1.8s	28 308×	0	invalid

Compiler

Compiled 18 986 to 2 181 computations (88.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.4s

ival-mult!: 3.4s (76.6% of total)

ival-sub!: 725.0ms (16.5% of total)

adjust: 302.0ms (6.9% of total)

prune31.0ms (0.1%)

Memory

5.9MiB live, 51.8MiB allocated; 5ms collecting garbage

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	966	1	967
Fresh	0	0	0
Picked	2	0	2
Done	-2	3	1
Total	966	4	970

Accuracy

100.0%

Counts

970 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	97.6%	(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))
✓	100.0%	#s(approx (- (* x.re y.re) (* x.im y.im)) (134-z0z1z2z3z4 #s(literal 1 binary64) y.re x.re y.im x.im))
✓	52.4%	#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 y.im) x.im))
▶	50.9%	#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 x.re y.re))

Samples

13.0ms

256×

valid

Compiler

Compiled 44 to 36 computations (18.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult!: 4.0ms (87.3% of total)

ival-sub!: 1.0ms (21.8% of total)

adjust: 0.0ms (0.0% of total)

series11.0ms (0.0%)

Memory

-31.7MiB live, 14.7MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	212

Stop Event

1×	iter-limit

Counts

4 → 14

Calls

Call 1

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

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

Calls

12 calls:

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

rewrite254.0ms (0.6%)

Memory

31.9MiB live, 173.9MiB 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
x.re
y.re
(*.f64 x.re y.re)
#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 x.re y.re))

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

eval2.0ms (0.0%)

Memory: 3.3MiB live, 3.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 307 to 76 computations (75.2% saved)

prune19.0ms (0.0%)

Memory

-20.3MiB live, 26.0MiB allocated; 3ms collecting garbage

Pruning

4 alts after pruning (0 fresh and 4 done)

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

Accuracy

100.0%

Counts

23 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	97.6%	(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))
✓	100.0%	#s(approx (- (* x.re y.re) (* x.im y.im)) (134-z0z1z2z3z4 #s(literal 1 binary64) y.re x.re y.im x.im))
✓	52.4%	#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 y.im) x.im))
✓	50.9%	#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 x.re y.re))

Samples

14.0ms

256×

valid

Compiler

Compiled 44 to 36 computations (18.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult!: 4.0ms (84.1% of total)

ival-sub!: 1.0ms (21.0% of total)

adjust: 0.0ms (0.0% of total)

regimes85.0ms (0.2%)

Memory

-0.9MiB live, 144.4MiB allocated; 21ms collecting garbage

Counts

1 → 1

3 → 3

4 → 2

6 → 1

Calls

Call 1

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

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

Call 2

Inputs

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

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

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

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

Call 3

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

Outputs
(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))
#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 y.im) x.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))
#s(approx (- (* x.re y.re) (* x.im y.im)) (134-z0z1z2z3z4 #s(literal 1 binary64) y.re x.re y.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)))

Outputs
#s(approx (- (* x.re y.re) (* x.im y.im)) (134-z0z1z2z3z4 #s(literal 1 binary64) y.re x.re y.im x.im))

Calls

28 calls:

8.0ms	x.im
7.0ms	x.re
3.0ms	(*.f64 x.re y.re)
3.0ms	y.re
2.0ms	y.im

Results

Accuracy	Segments	Branch
50.9%	1	`(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))`
50.9%	1	`x.re`
50.9%	1	`y.im`
50.9%	1	`x.im`
50.9%	1	`(*.f64 x.im y.im)`
50.9%	1	`y.re`
50.9%	1	`(*.f64 x.re y.re)`
73.3%	3	`(*.f64 x.im y.im)`
76.8%	3	`(*.f64 x.re y.re)`
70.2%	3	`x.re`
75.7%	5	`x.im`
74.2%	3	`y.re`
70.6%	3	`y.im`
60.3%	4	`(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))`
97.6%	1	`(*.f64 x.im y.im)`
97.6%	1	`(*.f64 x.re y.re)`
99.2%	2	`(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))`
97.6%	1	`x.re`
97.6%	1	`x.im`
97.6%	1	`y.re`
97.6%	1	`y.im`
100.0%	1	`(*.f64 x.im y.im)`
100.0%	1	`(*.f64 x.re y.re)`
100.0%	1	`(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))`
100.0%	1	`x.re`
100.0%	1	`x.im`
100.0%	1	`y.re`
100.0%	1	`y.im`

Samples

13.0ms

256×

valid

Compiler

Compiled 142 to 156 computations (-9.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult!: 4.0ms (89.8% of total)

ival-sub!: 1.0ms (22.5% of total)

adjust: 0.0ms (0.0% of total)

bsearch0.0ms (0.0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN

Compiler

Compiled 16 to 17 computations (-6.3% saved)

bsearch18.0ms (0.0%)

Memory

25.7MiB live, 25.7MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	5.873671680652544e-151	7.183240745041175e-150
9.0ms	-6.381442437923151e-103	-3.706243546821171e-104

Samples

9.0ms

208×

valid

Compiler

Compiled 285 to 275 computations (3.5% saved)

Precisions

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

ival-mult!: 2.0ms (68.5% of total)

ival-sub!: 1.0ms (34.2% of total)

adjust: 0.0ms (0.0% of total)

derivations82.0ms (0.2%)

Memory

-34.0MiB live, 59.6MiB allocated; 13ms collecting garbage

Stop Event

1×

done

Samples

13.0ms

256×

valid

Compiler

Compiled 100 to 26 computations (74.0% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult!: 4.0ms (88.1% of total)

ival-sub!: 1.0ms (22.0% of total)

adjust: 0.0ms (0.0% of total)

preprocess641.0ms (1.4%)

Memory

36.5MiB live, 866.1MiB allocated; 118ms collecting garbage

Samples

489.0ms

9 024×

valid

Compiler

Compiled 507 to 245 computations (51.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 176.0ms

ival-mult!: 129.0ms (73.3% of total)

ival-sub!: 24.0ms (13.6% of total)

adjust: 23.0ms (13.1% of total)

end0.0ms (0.0%)

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

start0.0ms (0.0%)

analyze0.0ms (0.0%)

sample690.0ms (1.5%)

preprocess19.0ms (0.0%)

series21.0ms (0.0%)

rewrite255.0ms (0.6%)

eval3.0ms (0.0%)

prune2.0ms (0.0%)

series20.0ms (0.0%)

rewrite165.0ms (0.4%)

eval25.1s (56.2%)

prune48.0ms (0.1%)

series13.0ms (0.0%)

rewrite188.0ms (0.4%)

eval17.0s (38.1%)

prune31.0ms (0.1%)

series11.0ms (0.0%)

rewrite254.0ms (0.6%)

eval2.0ms (0.0%)

prune19.0ms (0.0%)

regimes85.0ms (0.2%)

bsearch0.0ms (0.0%)

bsearch18.0ms (0.0%)

derivations82.0ms (0.2%)

preprocess641.0ms (1.4%)

end0.0ms (0.0%)

Profiling