Metrics for _multiplyComplex, real part

start0.0ms (0.0%)

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

analyze0.0ms (0.0%)

Memory

0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

Algorithm

1×

random

Compiler

Compiled 9 to 9 computations (0.0% saved)

sample565.0ms (27.7%)

Memory

59.1MiB live, 1 049.1MiB allocated; 224ms collecting garbage

Samples

417.0ms	8 025×	0	valid
8.0ms	240×	1	valid

Bogosity

preprocess41.0ms (2.0%)

Memory

-29.8MiB live, 62.0MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	109
1	256	109
2	1226	109

Stop Event

1×	node-limit

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

series9.0ms (0.4%)

Memory

29.1MiB live, 29.1MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	231

Stop Event

1×	iter-limit

Counts

7 → 18

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 #s(literal 0 binary64))
#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 (fma.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)) (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 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	x.re	inf
0.0ms	x.im	-inf
0.0ms	x.re	0
0.0ms	x.re	-inf
0.0ms	y.re	-inf

rewrite401.0ms (19.6%)

Memory

-25.1MiB live, 430.7MiB allocated; 170ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
0	10	17
1	32	17
2	206	17
3	1618	17
0	4485	17
0	4816	17

Stop Event

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

Counts

7 → 34

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

eval3.0ms (0.2%)

Memory: 10.3MiB live, 10.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 536 to 119 computations (77.8% saved)

prune9.0ms (0.5%)

Memory

-37.8MiB live, 7.8MiB allocated; 3ms collecting garbage

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	44	3	47
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	44	4	48

Accuracy

100.0%

Counts

48 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(fma.f64 (neg.f64 y.im) x.im (*.f64 y.re x.re))
▶	99.6%	(fma.f64 y.re x.re (*.f64 (neg.f64 y.im) x.im))
✓	99.2%	(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))
▶	54.7%	#s(approx (- (* x.re y.re) (* x.im y.im)) (.f64 #s(literal -1 binary64) (.f64 x.im y.im)))

Compiler

Compiled 26 to 14 computations (46.2% saved)

sample0.0ms (0.0%)

Memory

1.1MiB live, 1.1MiB 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)

series8.0ms (0.4%)

Memory

34.7MiB live, 34.7MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	315

Stop Event

1×	iter-limit

Counts

13 → 23

Calls

Call 1

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

Outputs
#s(approx x.re #s(literal 0 binary64))
#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 (* y.re x.re) (*.f64 x.re y.re))
#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 (- (* 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 x.im)
#s(approx (* x.im y.im) (*.f64 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)))
#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	0
0.0ms	x.im	inf
0.0ms	y.im	inf
0.0ms	x.im	0
0.0ms	x.re	0

rewrite193.0ms (9.5%)

Memory

-14.2MiB live, 407.1MiB allocated; 50ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	49
0	25	47
1	95	47
2	551	47
3	3917	47
0	4151	47
0	4373	47

Stop Event

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

Counts

13 → 107

Calls

Call 1

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

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

eval8.0ms (0.4%)

Memory: 30.2MiB live, 30.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 919 to 194 computations (78.9% saved)

prune27.0ms (1.3%)

Memory

-32.9MiB live, 12.3MiB allocated; 6ms collecting garbage

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	106	1	107
Fresh	0	0	0
Picked	1	2	3
Done	0	1	1
Total	107	4	111

Accuracy

100.0%

Counts

111 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(fma.f64 (neg.f64 y.im) x.im (*.f64 y.re x.re))
✓	99.6%	(fma.f64 y.re x.re (*.f64 (neg.f64 y.im) x.im))
✓	99.2%	(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))
▶	54.7%	#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 y.im) x.im))

Compiler

Compiled 25 to 12 computations (52.0% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs

Outputs

series6.0ms (0.3%)

Memory

18.5MiB live, 18.4MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	228

Stop Event

1×	iter-limit

Counts

5 → 16

Calls

Call 1

Inputs
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))

Outputs
#s(approx x.im #s(literal 0 binary64))
#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.im x.im)
#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 (- (* 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 (- (* 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
0.0ms	y.im	inf
0.0ms	x.im	inf
0.0ms	y.im	0
0.0ms	x.im	0
0.0ms	x.re	0

rewrite287.0ms (14.1%)

Memory

-3.5MiB live, 483.7MiB allocated; 86ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
0	12	20
1	37	20
2	211	20
3	1676	20
0	4536	20
0	4867	20

Stop Event

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

Counts

5 → 9

Calls

Call 1

Inputs
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))

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

eval2.0ms (0.1%)

Memory: 5.8MiB live, 5.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 154 to 51 computations (66.9% saved)

prune2.0ms (0.1%)

Memory

5.1MiB live, 5.1MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	20	1	21
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	20	5	25

Accuracy

100.0%

Counts

25 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(fma.f64 (neg.f64 y.im) x.im (*.f64 y.re x.re))
✓	99.6%	(fma.f64 y.re x.re (*.f64 (neg.f64 y.im) x.im))
✓	99.2%	(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))
✓	54.7%	#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 y.im) x.im))
▶	49.6%	#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 x.re y.re))

Compiler

Compiled 28 to 12 computations (57.1% saved)

sample0.0ms (0.0%)

Memory

0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs

Outputs

series7.0ms (0.4%)

Memory

-27.8MiB live, 17.3MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	218

Stop Event

1×	iter-limit

Counts

4 → 15

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 #s(literal 0 binary64))
#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 (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	y.re	-inf
0.0ms	x.re	-inf
0.0ms	x.re	inf
0.0ms	y.re	inf
0.0ms	x.re	0

rewrite283.0ms (13.9%)

Memory

-2.3MiB live, 527.8MiB allocated; 103ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
0	10	16
1	32	16
2	206	16
3	1634	16
0	4502	16
0	4833	16

Stop Event

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

Counts

4 → 5

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

eval1.0ms (0.1%)

Memory: 5.6MiB live, 5.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 132 to 43 computations (67.4% saved)

prune2.0ms (0.1%)

Memory

9.1MiB live, 9.1MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	16	1	17
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	16	6	22

Accuracy

100.0%

Counts

22 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(fma.f64 (neg.f64 y.im) x.im (*.f64 y.re x.re))
✓	99.6%	(fma.f64 y.re x.re (*.f64 (neg.f64 y.im) x.im))
✓	99.2%	(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))
✓	54.7%	#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 y.im) x.im))
	3.9%	#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 #s(approx x.re #s(literal 0 binary64)) y.re))
✓	49.6%	#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 x.re y.re))

Compiler

Compiled 31 to 14 computations (54.8% saved)

regimes73.0ms (3.6%)

Memory

-8.2MiB live, 231.8MiB allocated; 15ms collecting garbage

Counts

2 → 1

4 → 3

5 → 1

7 → 1

Calls

Call 1

Inputs
#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 x.re y.re))
#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 #s(approx x.re #s(literal 0 binary64)) 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 #s(approx x.re #s(literal 0 binary64)) 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 (neg.f64 y.im) x.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 (neg.f64 y.im) x.im))

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 #s(approx x.re #s(literal 0 binary64)) 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 #s(approx x.re #s(literal 0 binary64)) 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 y.re x.re (*.f64 (neg.f64 y.im) x.im))
(fma.f64 (neg.f64 y.im) x.im (*.f64 y.re x.re))

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

Calls

28 calls:

4.0ms	(*.f64 x.im y.im)
4.0ms	(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))
4.0ms	x.im
3.0ms	x.im
3.0ms	x.re

Results

Accuracy	Segments	Branch
49.6%	1	`(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))`
49.6%	1	`y.im`
49.6%	1	`x.im`
49.6%	1	`x.re`
49.6%	1	`y.re`
49.6%	1	`(*.f64 x.re y.re)`
49.6%	1	`(*.f64 x.im y.im)`
82.1%	3	`(*.f64 x.im y.im)`
80.8%	3	`(*.f64 x.re y.re)`
61.7%	4	`(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))`
77.2%	5	`x.re`
74.0%	3	`x.im`
75.6%	3	`y.re`
73.5%	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`
99.6%	1	`(*.f64 x.im y.im)`
99.6%	1	`(*.f64 x.re y.re)`
99.6%	1	`(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))`
99.6%	1	`x.re`
99.6%	1	`x.im`
99.6%	1	`y.re`
99.6%	1	`y.im`

Compiler

Compiled 104 to 84 computations (19.2% saved)

bsearch1.0ms (0.0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.2015400748636313e+55	3.840686907220609e+59
0.0ms	-1.7524189946932205e-78	-5.931993073212679e-79

Compiler

Compiled 12 to 13 computations (-8.3% saved)

derivations59.0ms (2.9%)

Memory

-14.5MiB live, 83.0MiB allocated; 10ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 40 to 16 computations (60.0% saved)

preprocess52.0ms (2.6%)

Memory: 28.7MiB live, 74.8MiB allocated; 6ms collecting garbage
Compiler: Compiled 207 to 147 computations (29.0% saved)

end0.0ms (0.0%)

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

start0.0ms (0.0%)

analyze0.0ms (0.0%)

sample565.0ms (27.7%)

preprocess41.0ms (2.0%)

sample0.0ms (0.0%)

series9.0ms (0.4%)

rewrite401.0ms (19.6%)

eval3.0ms (0.2%)

prune9.0ms (0.5%)

sample0.0ms (0.0%)

series8.0ms (0.4%)

rewrite193.0ms (9.5%)

eval8.0ms (0.4%)

prune27.0ms (1.3%)

sample0.0ms (0.0%)

series6.0ms (0.3%)

rewrite287.0ms (14.1%)

eval2.0ms (0.1%)

prune2.0ms (0.1%)

sample0.0ms (0.0%)

series7.0ms (0.4%)

rewrite283.0ms (13.9%)

eval1.0ms (0.1%)

prune2.0ms (0.1%)

regimes73.0ms (3.6%)

bsearch1.0ms (0.0%)

derivations59.0ms (2.9%)

preprocess52.0ms (2.6%)

end0.0ms (0.0%)

Profiling