Metrics for _multiplyComplex, imaginary part

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
100%	99.8%	0%	0.2%	0%	0%	0%	1

Compiler

Compiled 9 to 9 computations (0% saved)

sample632.0ms (19.8%)

Memory

11.2MiB live, 1 049.0MiB allocated

Samples

391.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 182.0ms

ival-mult: 127.0ms (69.7% of total)

ival-add: 46.0ms (25.3% of total)

ival-true: 7.0ms (3.8% of total)

ival-assert: 3.0ms (1.6% of total)

Bogosity

explain62.0ms (1.9%)

Memory

28.6MiB live, 106.7MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(*.f64 x.im y.re)`
-	-	`(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))`
-	-	`x.re`
-	-	`y.re`
-	-	`(*.f64 x.re y.im)`
-	-	`y.im`
-	-	`x.im`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Samples

27.0ms

512×

valid

Compiler

Compiled 62 to 32 computations (48.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 7.0ms (68% of total)

ival-add: 2.0ms (19.4% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

preprocess29.0ms (0.9%)

Memory

-34.6MiB live, 47.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	106
1	74	98
2	129	98
3	295	98
4	442	98
5	574	98
6	625	98
7	639	98
0	7	7
0	10	7
1	13	7
0	13	6

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

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

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

Symmetry

(sort x.re y.im)

(sort x.im y.re)

Compiler

Compiled 7 to 7 computations (0% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))

Compiler

Compiled 7 to 7 computations (0% saved)

simplify3.0ms (0.1%)

Memory

3.0MiB live, 3.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x.im y.re)
cost-diff	0	(*.f64 x.re y.im)
cost-diff	128	(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
0	10	17
1	13	17
0	13	16

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize18.0ms (0.6%)

Memory

-6.7MiB live, 32.3MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x.re y.im)
accuracy	0	(*.f64 x.im y.re)
accuracy	0.0078125	(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))

Samples

12.0ms

256×

valid

Compiler

Compiled 36 to 16 computations (55.6% saved)

Precisions

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

ival-mult: 4.0ms (80% of total)

ival-add: 1.0ms (20% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series7.0ms (0.2%)

Memory

13.8MiB live, 13.8MiB allocated

Counts

3 → 11

Calls

Call 1

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

Outputs
(* x.im y.re)
(+ (* x.im y.re) (* x.re y.im))
(* x.re y.im)
(* x.re (+ y.im (/ (* x.im y.re) x.re)))
(* -1 (* x.re (+ (* -1 y.im) (* -1 (/ (* x.im y.re) x.re)))))
(* x.im (+ y.re (/ (* x.re y.im) x.im)))
(* -1 (* x.im (+ (* -1 y.re) (* -1 (/ (* x.re y.im) x.im)))))
(* y.re (+ x.im (/ (* x.re y.im) y.re)))
(* -1 (* y.re (+ (* -1 x.im) (* -1 (/ (* x.re y.im) y.re)))))
(* y.im (+ x.re (/ (* x.im y.re) y.im)))
(* -1 (* y.im (+ (* -1 x.re) (* -1 (/ (* x.im y.re) y.im)))))

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	y.im	@	inf	((+ (* x.re y.im) (* x.im y.re)) (* x.re y.im) (* x.im y.re))
1.0ms	x.im	@	inf	((+ (* x.re y.im) (* x.im y.re)) (* x.re y.im) (* x.im y.re))
1.0ms	x.re	@	0	((+ (* x.re y.im) (* x.im y.re)) (* x.re y.im) (* x.im y.re))
1.0ms	x.re	@	inf	((+ (* x.re y.im) (* x.im y.re)) (* x.re y.im) (* x.im y.re))
1.0ms	x.im	@	-inf	((+ (* x.re y.im) (* x.im y.re)) (* x.re y.im) (* x.im y.re))

simplify99.0ms (3.1%)

Memory

-0.1MiB live, 118.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	69
1	149	69
2	468	69
3	1237	69
4	3370	69
5	5683	69
6	7170	69
0	8028	60

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 11

Calls

Call 1

Inputs
(* x.im y.re)
(+ (* x.im y.re) (* x.re y.im))
(* x.re y.im)
(* x.re (+ y.im (/ (* x.im y.re) x.re)))
(* -1 (* x.re (+ (* -1 y.im) (* -1 (/ (* x.im y.re) x.re)))))
(* x.im (+ y.re (/ (* x.re y.im) x.im)))
(* -1 (* x.im (+ (* -1 y.re) (* -1 (/ (* x.re y.im) x.im)))))
(* y.re (+ x.im (/ (* x.re y.im) y.re)))
(* -1 (* y.re (+ (* -1 x.im) (* -1 (/ (* x.re y.im) y.re)))))
(* y.im (+ x.re (/ (* x.im y.re) y.im)))
(* -1 (* y.im (+ (* -1 x.re) (* -1 (/ (* x.im y.re) y.im)))))

Outputs
(* x.im y.re)
(*.f64 y.re x.im)
(+ (* x.im y.re) (* x.re y.im))
(fma.f64 y.im x.re (*.f64 y.re x.im))
(* x.re y.im)
(*.f64 y.im x.re)
(* x.re (+ y.im (/ (* x.im y.re) x.re)))
(fma.f64 y.im x.re (*.f64 y.re x.im))
(* -1 (* x.re (+ (* -1 y.im) (* -1 (/ (* x.im y.re) x.re)))))
(fma.f64 y.im x.re (*.f64 y.re x.im))
(* x.im (+ y.re (/ (* x.re y.im) x.im)))
(fma.f64 y.im x.re (*.f64 y.re x.im))
(* -1 (* x.im (+ (* -1 y.re) (* -1 (/ (* x.re y.im) x.im)))))
(fma.f64 y.im x.re (*.f64 y.re x.im))
(* y.re (+ x.im (/ (* x.re y.im) y.re)))
(fma.f64 y.im x.re (*.f64 y.re x.im))
(* -1 (* y.re (+ (* -1 x.im) (* -1 (/ (* x.re y.im) y.re)))))
(fma.f64 y.im x.re (*.f64 y.re x.im))
(* y.im (+ x.re (/ (* x.im y.re) y.im)))
(fma.f64 y.im x.re (*.f64 y.re x.im))
(* -1 (* y.im (+ (* -1 x.re) (* -1 (/ (* x.im y.re) y.im)))))
(fma.f64 y.im x.re (*.f64 y.re x.im))

rewrite244.0ms (7.6%)

Memory

0.7MiB live, 195.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
0	10	13
1	26	13
2	182	13
3	1813	13
0	8222	12

Stop Event

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

Counts

3 → 175

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)) (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 4 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)) (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 6 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (.f64 y.im x.re) #s(literal 4 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 4 binary64))) (pow.f64 (.f64 (.f64 (*.f64 y.re x.im) x.re) y.im) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)) (.f64 y.re x.im) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 6 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 3 binary64)) (pow.f64 (*.f64 y.re x.im) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)) (.f64 y.re x.im) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64))) (+.f64 (pow.f64 (.f64 y.re x.im) #s(literal 9 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (.f64 y.im x.re) #s(literal 6 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 (.f64 y.re x.im) x.re) y.im) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 3 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 3 binary64)))) (fma.f64 (.f64 y.re x.im) (fma.f64 y.re x.im (.f64 y.im x.re)) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 y.re x.im) #s(literal 3 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)) (.f64 y.re x.im)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (.f64 (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)) (*.f64 y.re x.im))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 y.re x.im) #s(literal 3 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)) (.f64 y.re x.im)) #s(literal 3 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)) (.f64 y.re x.im)) (fma.f64 (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)) (.f64 y.re x.im) (neg.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)))) (pow.f64 (*.f64 y.im x.re) #s(literal 4 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 4 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 4 binary64))) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) (pow.f64 (+.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 6 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 6 binary64))) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) (pow.f64 (+.f64 (+.f64 (pow.f64 (.f64 y.im x.re) #s(literal 4 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 4 binary64))) (pow.f64 (.f64 (.f64 (*.f64 y.re x.im) x.re) y.im) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 6 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 6 binary64))) (fma.f64 (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)) (.f64 y.re x.im) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)))) (pow.f64 (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 3 binary64)) (pow.f64 (*.f64 y.re x.im) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 y.re x.im) #s(literal 9 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 9 binary64))) (fma.f64 (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)) (.f64 y.re x.im) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)))) (pow.f64 (-.f64 (+.f64 (pow.f64 (.f64 y.im x.re) #s(literal 6 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 (.f64 y.re x.im) x.re) y.im) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (*.f64 y.im x.re))))))
(.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))))))))
(.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 y.re x.im) (*.f64 y.im x.re)))))
(.f64 (-.f64 (.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) (.f64 (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)) (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)) #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (fma.f64 y.re x.im (.f64 y.im x.re)) #s(literal -1 binary64)))))
(.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 y.re x.im (.f64 y.im x.re))))
(.f64 (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 4 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64))) (fma.f64 (neg.f64 y.re) x.im (*.f64 y.im x.re)))))
(.f64 (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 4 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)) (+.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (pow.f64 (*.f64 y.im x.re) #s(literal 2 binary64))))))
(.f64 (-.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64))) (pow.f64 (-.f64 (.f64 y.re x.im) (*.f64 y.im x.re)) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 6 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (+.f64 (pow.f64 (.f64 y.im x.re) #s(literal 4 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 4 binary64))) (pow.f64 (.f64 (.f64 (.f64 y.re x.im) x.re) y.im) #s(literal 2 binary64))) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)))))
(.f64 (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 6 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 3 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 3 binary64))) (fma.f64 (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)) (.f64 y.re x.im) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64))))))
(.f64 (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 6 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)) (+.f64 (+.f64 (pow.f64 (.f64 y.im x.re) #s(literal 4 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 4 binary64))) (pow.f64 (.f64 (.f64 (.f64 y.re x.im) x.re) y.im) #s(literal 2 binary64))))))
(.f64 (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 6 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)) (.f64 y.re x.im) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 3 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 3 binary64))))))
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(fma.f64 (exp.f64 (log.f64 x.re)) (exp.f64 (log.f64 y.im)) (*.f64 y.re x.im))
(fma.f64 (exp.f64 (log.f64 y.re)) (exp.f64 (log.f64 x.im)) (*.f64 y.im x.re))
(fma.f64 (exp.f64 (log.f64 y.im)) (exp.f64 (log.f64 x.re)) (*.f64 y.re x.im))
(fma.f64 (pow.f64 y.re #s(literal 1 binary64)) (pow.f64 x.im #s(literal 1 binary64)) (*.f64 y.im x.re))
(fma.f64 (pow.f64 x.im #s(literal 1 binary64)) (pow.f64 y.re #s(literal 1 binary64)) (*.f64 y.im x.re))
(fma.f64 (pow.f64 y.im #s(literal 1 binary64)) (pow.f64 x.re #s(literal 1 binary64)) (*.f64 y.re x.im))
(fma.f64 (pow.f64 x.re #s(literal 1 binary64)) (pow.f64 y.im #s(literal 1 binary64)) (*.f64 y.re x.im))
(fma.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 3 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 3 binary64)))) (fma.f64 (.f64 y.re x.im) (fma.f64 y.re x.im (.f64 y.im x.re)) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64))) (neg.f64 (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)))))
(fma.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)))) (fma.f64 y.re x.im (.f64 y.im x.re)) (neg.f64 (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)))))
(fma.f64 (neg.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64))) (pow.f64 (fma.f64 (neg.f64 y.im) x.re (.f64 y.re x.im)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)))))
(fma.f64 #s(literal -1 binary64) (.f64 (neg.f64 y.re) x.im) (.f64 y.im x.re))
(fma.f64 (.f64 (.f64 x.re x.re) y.im) (/.f64 y.im (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) (neg.f64 (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (*.f64 y.im x.re)))))
(fma.f64 (.f64 (.f64 y.im y.im) x.re) (/.f64 x.re (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) (neg.f64 (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (*.f64 y.im x.re)))))
(fma.f64 (.f64 y.im y.im) (/.f64 (.f64 x.re x.re) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) (neg.f64 (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (*.f64 y.im x.re)))))
(fma.f64 (.f64 x.re x.re) (/.f64 (.f64 y.im y.im) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) (neg.f64 (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (*.f64 y.im x.re)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) (neg.f64 (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)))))
(fma.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (pow.f64 (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)))))
(fma.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (pow.f64 (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)))))
(fma.f64 y.re x.im (*.f64 y.im x.re))
(fma.f64 x.im y.re (*.f64 y.im x.re))
(fma.f64 (.f64 y.im x.re) (/.f64 (.f64 y.im x.re) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) (neg.f64 (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (*.f64 y.im x.re)))))
(fma.f64 y.im (/.f64 (.f64 (.f64 x.re x.re) y.im) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) (neg.f64 (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (*.f64 y.im x.re)))))
(fma.f64 y.im x.re (*.f64 y.re x.im))
(fma.f64 x.re (/.f64 (.f64 (.f64 y.im y.im) x.re) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) (neg.f64 (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (*.f64 y.im x.re)))))
(fma.f64 x.re y.im (*.f64 y.re x.im))
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))))) (/.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))))))) (/.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))))))))
(-.f64 (/.f64 (.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) (pow.f64 (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)) #s(literal 2 binary64))) (/.f64 (.f64 (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)) (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64))) (pow.f64 (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 4 binary64)) (.f64 (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)) (+.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64))))) (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 4 binary64)) (.f64 (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)) (+.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64))))))
(-.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 6 binary64)) (.f64 (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)) (+.f64 (+.f64 (pow.f64 (.f64 y.im x.re) #s(literal 4 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 4 binary64))) (pow.f64 (.f64 (.f64 (.f64 y.re x.im) x.re) y.im) #s(literal 2 binary64))))) (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 6 binary64)) (.f64 (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)) (+.f64 (+.f64 (pow.f64 (.f64 y.im x.re) #s(literal 4 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 4 binary64))) (pow.f64 (.f64 (.f64 (.f64 y.re x.im) x.re) y.im) #s(literal 2 binary64))))))
(-.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 6 binary64)) (.f64 (fma.f64 (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)) (.f64 y.re x.im) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 3 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 3 binary64))))) (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 6 binary64)) (.f64 (fma.f64 (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)) (.f64 y.re x.im) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 3 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 3 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 y.im) x.re (.f64 y.re x.im))) (neg.f64 (fma.f64 y.re x.im (.f64 y.im x.re))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)) (.f64 y.re x.im) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64))))) (neg.f64 (fma.f64 y.re x.im (*.f64 y.im x.re))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 4 binary64)) (+.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)))) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) (/.f64 (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 4 binary64)) (+.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)))) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 y.im x.re) #s(literal 4 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 4 binary64))) (pow.f64 (.f64 (.f64 (.f64 y.re x.im) x.re) y.im) #s(literal 2 binary64)))) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) (/.f64 (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 y.im x.re) #s(literal 4 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 4 binary64))) (pow.f64 (.f64 (.f64 (.f64 y.re x.im) x.re) y.im) #s(literal 2 binary64)))) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 6 binary64)) (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 3 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 3 binary64)))) (fma.f64 (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)) (.f64 y.re x.im) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 6 binary64)) (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 3 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 3 binary64)))) (fma.f64 (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)) (.f64 y.re x.im) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (-.f64 (.f64 y.re x.im) (.f64 y.im x.re))) (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (-.f64 (.f64 y.re x.im) (.f64 y.im x.re))))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 y.re x.im (*.f64 y.im x.re))))
(-.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))))
(-.f64 (.f64 y.im x.re) (.f64 (neg.f64 y.re) x.im))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 y.re x.im (.f64 y.im x.re)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (-.f64 (.f64 y.re x.im) (.f64 y.im x.re))) (neg.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)))))
(+.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) (neg.f64 (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)))))
(+.f64 (.f64 y.re x.im) (.f64 y.im x.re))
(+.f64 (.f64 y.im x.re) (.f64 y.re x.im))
(*.f64 (exp.f64 (log.f64 x.re)) (exp.f64 (log.f64 y.im)))
(*.f64 (exp.f64 (log.f64 y.im)) (exp.f64 (log.f64 x.re)))
(*.f64 (pow.f64 y.im #s(literal 1 binary64)) (pow.f64 x.re #s(literal 1 binary64)))
(*.f64 (pow.f64 x.re #s(literal 1 binary64)) (pow.f64 y.im #s(literal 1 binary64)))
(*.f64 y.im x.re)
(*.f64 x.re y.im)
(pow.f64 (*.f64 y.im x.re) #s(literal 1 binary64))
(exp.f64 (.f64 (log.f64 (.f64 y.im x.re)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 y.im x.re)))
(*.f64 (exp.f64 (log.f64 x.im)) (exp.f64 (log.f64 y.re)))
(*.f64 (exp.f64 (log.f64 y.re)) (exp.f64 (log.f64 x.im)))
(*.f64 (pow.f64 y.re #s(literal 1 binary64)) (pow.f64 x.im #s(literal 1 binary64)))
(*.f64 (pow.f64 x.im #s(literal 1 binary64)) (pow.f64 y.re #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 y.re) x.im))
(*.f64 y.re x.im)
(*.f64 x.im y.re)
(pow.f64 (*.f64 y.re x.im) #s(literal 1 binary64))
(neg.f64 (*.f64 (neg.f64 y.re) x.im))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y.re) x.im))
(exp.f64 (.f64 (log.f64 (.f64 y.re x.im)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 y.re x.im)))

eval18.0ms (0.5%)

Memory: 30.1MiB live, 30.2MiB allocated
Compiler: Compiled 6 115 to 490 computations (92% saved)

prune28.0ms (0.9%)

Memory

-28.7MiB live, 9.4MiB allocated

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	176	2	178
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	177	2	179

Accuracy

100.0%

Counts

179 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 y.im x.re (*.f64 y.re x.im))
▶	55.6%	#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.re x.im))

Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify3.0ms (0.1%)

Memory

3.6MiB live, 3.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 y.re x.im)
cost-diff	0	(fma.f64 y.im x.re (*.f64 y.re x.im))
cost-diff	0	(*.f64 y.re x.im)
cost-diff	0	#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.re x.im))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	29
0	13	28
1	17	28
0	17	28

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize25.0ms (0.8%)

Memory

-8.4MiB live, 30.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 y.im x.re (*.f64 y.re x.im))
accuracy	0	(*.f64 y.re x.im)
accuracy	0	(*.f64 y.re x.im)
accuracy	28.44440229065754	#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.re x.im))

Samples

17.0ms

256×

valid

Compiler

Compiled 57 to 22 computations (61.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 7.0ms (77.1% of total)

ival-add: 2.0ms (22% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory

5.4MiB live, 5.4MiB allocated

Counts

3 → 11

Calls

Call 1

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

Outputs
(* x.im y.re)
(+ (* x.im y.re) (* x.re y.im))
(* x.re y.im)
(* x.re (+ y.im (/ (* x.im y.re) x.re)))
(* -1 (* x.re (+ (* -1 y.im) (* -1 (/ (* x.im y.re) x.re)))))
(* x.im (+ y.re (/ (* x.re y.im) x.im)))
(* -1 (* x.im (+ (* -1 y.re) (* -1 (/ (* x.re y.im) x.im)))))
(* y.re (+ x.im (/ (* x.re y.im) y.re)))
(* -1 (* y.re (+ (* -1 x.im) (* -1 (/ (* x.re y.im) y.re)))))
(* y.im (+ x.re (/ (* x.im y.re) y.im)))
(* -1 (* y.im (+ (* -1 x.re) (* -1 (/ (* x.im y.re) y.im)))))

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	y.re	@	-inf	((+ (* x.re y.im) (* x.im y.re)) (* y.re x.im) (+ (* y.im x.re) (* y.re x.im)))
0.0ms	x.im	@	-inf	((+ (* x.re y.im) (* x.im y.re)) (* y.re x.im) (+ (* y.im x.re) (* y.re x.im)))
0.0ms	x.im	@	inf	((+ (* x.re y.im) (* x.im y.re)) (* y.re x.im) (+ (* y.im x.re) (* y.re x.im)))
0.0ms	x.re	@	-inf	((+ (* x.re y.im) (* x.im y.re)) (* y.re x.im) (+ (* y.im x.re) (* y.re x.im)))
0.0ms	y.re	@	inf	((+ (* x.re y.im) (* x.im y.re)) (* y.re x.im) (+ (* y.im x.re) (* y.re x.im)))

simplify152.0ms (4.8%)

Memory

30.6MiB live, 111.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	69
1	149	69
2	468	69
3	1237	69
4	3370	69
5	5682	69
6	7170	69
0	8027	60

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 11

Calls

Call 1

Inputs
(* x.im y.re)
(+ (* x.im y.re) (* x.re y.im))
(* x.re y.im)
(* x.re (+ y.im (/ (* x.im y.re) x.re)))
(* -1 (* x.re (+ (* -1 y.im) (* -1 (/ (* x.im y.re) x.re)))))
(* x.im (+ y.re (/ (* x.re y.im) x.im)))
(* -1 (* x.im (+ (* -1 y.re) (* -1 (/ (* x.re y.im) x.im)))))
(* y.re (+ x.im (/ (* x.re y.im) y.re)))
(* -1 (* y.re (+ (* -1 x.im) (* -1 (/ (* x.re y.im) y.re)))))
(* y.im (+ x.re (/ (* x.im y.re) y.im)))
(* -1 (* y.im (+ (* -1 x.re) (* -1 (/ (* x.im y.re) y.im)))))

Outputs
(* x.im y.re)
(*.f64 y.re x.im)
(+ (* x.im y.re) (* x.re y.im))
(fma.f64 y.im x.re (*.f64 y.re x.im))
(* x.re y.im)
(*.f64 y.im x.re)
(* x.re (+ y.im (/ (* x.im y.re) x.re)))
(fma.f64 y.im x.re (*.f64 y.re x.im))
(* -1 (* x.re (+ (* -1 y.im) (* -1 (/ (* x.im y.re) x.re)))))
(fma.f64 y.im x.re (*.f64 y.re x.im))
(* x.im (+ y.re (/ (* x.re y.im) x.im)))
(fma.f64 y.im x.re (*.f64 y.re x.im))
(* -1 (* x.im (+ (* -1 y.re) (* -1 (/ (* x.re y.im) x.im)))))
(fma.f64 y.im x.re (*.f64 y.re x.im))
(* y.re (+ x.im (/ (* x.re y.im) y.re)))
(fma.f64 y.im x.re (*.f64 y.re x.im))
(* -1 (* y.re (+ (* -1 x.im) (* -1 (/ (* x.re y.im) y.re)))))
(fma.f64 y.im x.re (*.f64 y.re x.im))
(* y.im (+ x.re (/ (* x.im y.re) y.im)))
(fma.f64 y.im x.re (*.f64 y.re x.im))
(* -1 (* y.im (+ (* -1 x.re) (* -1 (/ (* x.im y.re) y.im)))))
(fma.f64 y.im x.re (*.f64 y.re x.im))

rewrite288.0ms (9%)

Memory

0.7MiB live, 196.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
0	13	19
1	50	19
2	206	19
3	1837	19
0	8281	19

Stop Event

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

Counts

3 → 167

Calls

Call 1

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

Outputs
#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.re x.im))
(*.f64 (exp.f64 (log.f64 y.re)) (exp.f64 (log.f64 x.im)))
(*.f64 (exp.f64 (log.f64 x.im)) (exp.f64 (log.f64 y.re)))
(*.f64 (pow.f64 y.re #s(literal 1 binary64)) (pow.f64 x.im #s(literal 1 binary64)))
(*.f64 (pow.f64 x.im #s(literal 1 binary64)) (pow.f64 y.re #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 y.re) x.im))
(*.f64 y.re x.im)
(*.f64 x.im y.re)
(pow.f64 (*.f64 y.re x.im) #s(literal 1 binary64))
(neg.f64 (*.f64 (neg.f64 y.re) x.im))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y.re) x.im))
(exp.f64 (.f64 (log.f64 (.f64 y.re x.im)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 y.re x.im)))
(.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)) (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 4 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)) (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 6 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (.f64 y.im x.re) #s(literal 4 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 4 binary64))) (pow.f64 (.f64 (.f64 (*.f64 y.re x.im) x.re) y.im) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)) (.f64 y.re x.im) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 6 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 3 binary64)) (pow.f64 (*.f64 y.re x.im) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)) (.f64 y.re x.im) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64))) (+.f64 (pow.f64 (.f64 y.re x.im) #s(literal 9 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (.f64 y.im x.re) #s(literal 6 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 (.f64 y.re x.im) x.re) y.im) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 3 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 3 binary64)))) (fma.f64 (.f64 y.re x.im) (fma.f64 y.re x.im (.f64 y.im x.re)) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 y.im x.re) #s(literal 3 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)) (.f64 y.re x.im)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (.f64 (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)) (*.f64 y.re x.im))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 y.im x.re) #s(literal 3 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)) (.f64 y.re x.im)) #s(literal 3 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)) (.f64 y.re x.im)) (fma.f64 (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)) (.f64 y.re x.im) (neg.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)))) (pow.f64 (*.f64 y.im x.re) #s(literal 4 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 4 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 4 binary64))) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) (pow.f64 (+.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 6 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 6 binary64))) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) (pow.f64 (+.f64 (+.f64 (pow.f64 (.f64 y.im x.re) #s(literal 4 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 4 binary64))) (pow.f64 (.f64 (.f64 (*.f64 y.re x.im) x.re) y.im) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 6 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 6 binary64))) (fma.f64 (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)) (.f64 y.re x.im) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)))) (pow.f64 (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 3 binary64)) (pow.f64 (*.f64 y.re x.im) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 y.re x.im) #s(literal 9 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 9 binary64))) (fma.f64 (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)) (.f64 y.re x.im) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)))) (pow.f64 (-.f64 (+.f64 (pow.f64 (.f64 y.im x.re) #s(literal 6 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 (.f64 y.re x.im) x.re) y.im) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (*.f64 y.im x.re))))))
(.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))))))))
(.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 y.re x.im) (*.f64 y.im x.re)))))
(.f64 (-.f64 (.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) (.f64 (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)) (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)) #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (fma.f64 y.re x.im (.f64 y.im x.re)) #s(literal -1 binary64)))))
(.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 y.re x.im (.f64 y.im x.re))))
(.f64 (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 4 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64))) (fma.f64 (neg.f64 y.re) x.im (*.f64 y.im x.re)))))
(.f64 (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 4 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)) (+.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (pow.f64 (*.f64 y.re x.im) #s(literal 2 binary64))))))
(.f64 (-.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64))) (pow.f64 (-.f64 (.f64 y.re x.im) (*.f64 y.im x.re)) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 6 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (+.f64 (pow.f64 (.f64 y.im x.re) #s(literal 4 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 4 binary64))) (pow.f64 (.f64 (.f64 (.f64 y.re x.im) x.re) y.im) #s(literal 2 binary64))) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)))))
(.f64 (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 6 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 3 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 3 binary64))) (fma.f64 (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)) (.f64 y.re x.im) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64))))))
(.f64 (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 6 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)) (+.f64 (+.f64 (pow.f64 (.f64 y.im x.re) #s(literal 4 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 4 binary64))) (pow.f64 (.f64 (.f64 (.f64 y.re x.im) x.re) y.im) #s(literal 2 binary64))))))
(.f64 (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 6 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)) (.f64 y.re x.im) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 3 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 3 binary64))))))
(.f64 (pow.f64 (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)) #s(literal -1 binary64)) (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64))))
(.f64 (pow.f64 (fma.f64 (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)) (.f64 y.re x.im) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (.f64 y.im x.re) #s(literal 3 binary64)) (pow.f64 (*.f64 y.re x.im) #s(literal 3 binary64))))
(.f64 #s(literal 1 binary64) (fma.f64 y.re x.im (.f64 y.im x.re)))
(.f64 (+.f64 (pow.f64 (.f64 y.re x.im) #s(literal 9 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (+.f64 (pow.f64 (.f64 y.im x.re) #s(literal 6 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 (.f64 y.re x.im) x.re) y.im) #s(literal 3 binary64))) (fma.f64 (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)) (.f64 y.re x.im) (pow.f64 (*.f64 y.im x.re) #s(literal 2 binary64))))))
(.f64 (+.f64 (pow.f64 (.f64 y.re x.im) #s(literal 9 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)) (.f64 y.re x.im) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64))) (-.f64 (+.f64 (pow.f64 (.f64 y.im x.re) #s(literal 6 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 (*.f64 y.re x.im) x.re) y.im) #s(literal 3 binary64))))))
(.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64))) (pow.f64 (fma.f64 (neg.f64 y.im) x.re (.f64 y.re x.im)) #s(literal -1 binary64)))
(.f64 (neg.f64 (+.f64 (pow.f64 (.f64 y.im x.re) #s(literal 3 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)) (.f64 y.re x.im) (pow.f64 (*.f64 y.im x.re) #s(literal 2 binary64)))))
(.f64 (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64))) (pow.f64 (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)) #s(literal -1 binary64)))
(.f64 (fma.f64 (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)) (.f64 y.re x.im) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64))) (/.f64 (fma.f64 y.re x.im (.f64 y.im x.re)) (fma.f64 (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)) (.f64 y.re x.im) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)))))
(.f64 (+.f64 (pow.f64 (.f64 y.im x.re) #s(literal 3 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)) (.f64 y.re x.im) (pow.f64 (*.f64 y.im x.re) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (fma.f64 y.re x.im (.f64 y.im x.re)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (fma.f64 y.re x.im (*.f64 y.im x.re)) #s(literal -1 binary64)) #s(literal -1 binary64))
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(fma.f64 y.re x.im (*.f64 y.im x.re))
(fma.f64 x.im y.re (*.f64 y.im x.re))
(fma.f64 (.f64 y.im x.re) (/.f64 (.f64 y.im x.re) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) (neg.f64 (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (*.f64 y.im x.re)))))
(fma.f64 y.im (/.f64 (.f64 (.f64 x.re x.re) y.im) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) (neg.f64 (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (*.f64 y.im x.re)))))
(fma.f64 y.im x.re (*.f64 y.re x.im))
(fma.f64 x.re (/.f64 (.f64 (.f64 y.im y.im) x.re) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) (neg.f64 (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (*.f64 y.im x.re)))))
(fma.f64 x.re y.im (*.f64 y.re x.im))
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))))) (/.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))))))) (/.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))))))))
(-.f64 (/.f64 (.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) (pow.f64 (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)) #s(literal 2 binary64))) (/.f64 (.f64 (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)) (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64))) (pow.f64 (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 4 binary64)) (.f64 (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)) (+.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64))))) (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 4 binary64)) (.f64 (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)) (+.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64))))))
(-.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 6 binary64)) (.f64 (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)) (+.f64 (+.f64 (pow.f64 (.f64 y.im x.re) #s(literal 4 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 4 binary64))) (pow.f64 (.f64 (.f64 (.f64 y.re x.im) x.re) y.im) #s(literal 2 binary64))))) (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 6 binary64)) (.f64 (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)) (+.f64 (+.f64 (pow.f64 (.f64 y.im x.re) #s(literal 4 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 4 binary64))) (pow.f64 (.f64 (.f64 (.f64 y.re x.im) x.re) y.im) #s(literal 2 binary64))))))
(-.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 6 binary64)) (.f64 (fma.f64 (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)) (.f64 y.re x.im) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 3 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 3 binary64))))) (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 6 binary64)) (.f64 (fma.f64 (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)) (.f64 y.re x.im) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 3 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 3 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)) (.f64 y.re x.im) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64))))) (neg.f64 (fma.f64 y.re x.im (*.f64 y.im x.re))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 4 binary64)) (+.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)))) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) (/.f64 (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 4 binary64)) (+.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)))) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 y.im x.re) #s(literal 4 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 4 binary64))) (pow.f64 (.f64 (.f64 (.f64 y.re x.im) x.re) y.im) #s(literal 2 binary64)))) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) (/.f64 (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 y.im x.re) #s(literal 4 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 4 binary64))) (pow.f64 (.f64 (.f64 (.f64 y.re x.im) x.re) y.im) #s(literal 2 binary64)))) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 6 binary64)) (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 3 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 3 binary64)))) (fma.f64 (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)) (.f64 y.re x.im) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 6 binary64)) (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 3 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 3 binary64)))) (fma.f64 (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)) (.f64 y.re x.im) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 y.im) x.re (.f64 y.re x.im))) (neg.f64 (fma.f64 y.re x.im (.f64 y.im x.re))))
(-.f64 (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (-.f64 (.f64 y.re x.im) (.f64 y.im x.re))) (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (-.f64 (.f64 y.re x.im) (.f64 y.im x.re))))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 y.re x.im (*.f64 y.im x.re))))
(-.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))))
(-.f64 (.f64 y.im x.re) (.f64 (neg.f64 y.re) x.im))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 y.re x.im (.f64 y.im x.re)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (-.f64 (.f64 y.re x.im) (.f64 y.im x.re))) (neg.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)))))
(+.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) (neg.f64 (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)))))
(+.f64 (.f64 y.re x.im) (.f64 y.im x.re))
(+.f64 (.f64 y.im x.re) (.f64 y.re x.im))

eval32.0ms (1%)

Memory: -4.8MiB live, 34.0MiB allocated
Compiler: Compiled 6 180 to 481 computations (92.2% saved)

prune3.0ms (0.1%)

Memory

9.2MiB live, 9.2MiB allocated

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	180	1	181
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	180	3	183

Accuracy

100.0%

Counts

183 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 y.im x.re (*.f64 y.re x.im))
✓	55.6%	#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.re x.im))
▶	49.4%	#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.im x.re))

Compiler

Compiled 28 to 24 computations (14.3% saved)

simplify315.0ms (9.9%)

Memory

-43.3MiB live, 4.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 y.im x.re)
cost-diff	0	#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.im x.re))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
0	10	16
1	13	16
0	13	15

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize18.0ms (0.6%)

Memory

24.8MiB live, 24.8MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(*.f64 y.im x.re)
accuracy	32.35508723208252	#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.im x.re))

Samples

13.0ms

256×

valid

Compiler

Compiled 30 to 19 computations (36.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 5.0ms (77.2% of total)

ival-add: 1.0ms (15.4% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory

4.7MiB live, 4.7MiB allocated

Counts

2 → 11

Calls

Call 1

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

Outputs
(* x.im y.re)
(+ (* x.im y.re) (* x.re y.im))
(* x.re y.im)
(* x.re (+ y.im (/ (* x.im y.re) x.re)))
(* -1 (* x.re (+ (* -1 y.im) (* -1 (/ (* x.im y.re) x.re)))))
(* x.im (+ y.re (/ (* x.re y.im) x.im)))
(* -1 (* x.im (+ (* -1 y.re) (* -1 (/ (* x.re y.im) x.im)))))
(* y.re (+ x.im (/ (* x.re y.im) y.re)))
(* -1 (* y.re (+ (* -1 x.im) (* -1 (/ (* x.re y.im) y.re)))))
(* y.im (+ x.re (/ (* x.im y.re) y.im)))
(* -1 (* y.im (+ (* -1 x.re) (* -1 (/ (* x.im y.re) y.im)))))

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	y.im	@	-inf	((+ (* x.re y.im) (* x.im y.re)) (* y.im x.re))
0.0ms	x.re	@	-inf	((+ (* x.re y.im) (* x.im y.re)) (* y.im x.re))
0.0ms	x.re	@	0	((+ (* x.re y.im) (* x.im y.re)) (* y.im x.re))
0.0ms	x.re	@	inf	((+ (* x.re y.im) (* x.im y.re)) (* y.im x.re))
0.0ms	y.im	@	inf	((+ (* x.re y.im) (* x.im y.re)) (* y.im x.re))

simplify110.0ms (3.4%)

Memory

-20.4MiB live, 56.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	69
1	149	69
2	468	69
3	1237	69
4	3370	69
5	5682	69
6	7170	69
0	8027	60

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 11

Calls

Call 1

Inputs
(* x.im y.re)
(+ (* x.im y.re) (* x.re y.im))
(* x.re y.im)
(* x.re (+ y.im (/ (* x.im y.re) x.re)))
(* -1 (* x.re (+ (* -1 y.im) (* -1 (/ (* x.im y.re) x.re)))))
(* x.im (+ y.re (/ (* x.re y.im) x.im)))
(* -1 (* x.im (+ (* -1 y.re) (* -1 (/ (* x.re y.im) x.im)))))
(* y.re (+ x.im (/ (* x.re y.im) y.re)))
(* -1 (* y.re (+ (* -1 x.im) (* -1 (/ (* x.re y.im) y.re)))))
(* y.im (+ x.re (/ (* x.im y.re) y.im)))
(* -1 (* y.im (+ (* -1 x.re) (* -1 (/ (* x.im y.re) y.im)))))

Outputs
(* x.im y.re)
(*.f64 y.re x.im)
(+ (* x.im y.re) (* x.re y.im))
(fma.f64 y.im x.re (*.f64 y.re x.im))
(* x.re y.im)
(*.f64 y.im x.re)
(* x.re (+ y.im (/ (* x.im y.re) x.re)))
(fma.f64 y.im x.re (*.f64 y.re x.im))
(* -1 (* x.re (+ (* -1 y.im) (* -1 (/ (* x.im y.re) x.re)))))
(fma.f64 y.im x.re (*.f64 y.re x.im))
(* x.im (+ y.re (/ (* x.re y.im) x.im)))
(fma.f64 y.im x.re (*.f64 y.re x.im))
(* -1 (* x.im (+ (* -1 y.re) (* -1 (/ (* x.re y.im) x.im)))))
(fma.f64 y.im x.re (*.f64 y.re x.im))
(* y.re (+ x.im (/ (* x.re y.im) y.re)))
(fma.f64 y.im x.re (*.f64 y.re x.im))
(* -1 (* y.re (+ (* -1 x.im) (* -1 (/ (* x.re y.im) y.re)))))
(fma.f64 y.im x.re (*.f64 y.re x.im))
(* y.im (+ x.re (/ (* x.im y.re) y.im)))
(fma.f64 y.im x.re (*.f64 y.re x.im))
(* -1 (* y.im (+ (* -1 x.re) (* -1 (/ (* x.im y.re) y.im)))))
(fma.f64 y.im x.re (*.f64 y.re x.im))

rewrite214.0ms (6.7%)

Memory

21.8MiB live, 174.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
0	10	14
1	26	14
2	182	14
3	1809	14
0	8244	13

Stop Event

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

Counts

2 → 10

Calls

Call 1

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

Outputs
#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.im x.re))
(*.f64 (exp.f64 (log.f64 x.re)) (exp.f64 (log.f64 y.im)))
(*.f64 (exp.f64 (log.f64 y.im)) (exp.f64 (log.f64 x.re)))
(*.f64 (pow.f64 y.im #s(literal 1 binary64)) (pow.f64 x.re #s(literal 1 binary64)))
(*.f64 (pow.f64 x.re #s(literal 1 binary64)) (pow.f64 y.im #s(literal 1 binary64)))
(*.f64 y.im x.re)
(*.f64 x.re y.im)
(pow.f64 (*.f64 y.im x.re) #s(literal 1 binary64))
(exp.f64 (.f64 (log.f64 (.f64 y.im x.re)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 y.im x.re)))

eval2.0ms (0%)

Memory: 3.5MiB live, 3.5MiB allocated
Compiler: Compiled 174 to 41 computations (76.4% saved)

prune2.0ms (0.1%)

Memory

4.4MiB live, 4.4MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	13	0	13
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	13	3	16

Accuracy

100.0%

Counts

16 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 y.im x.re (*.f64 y.re x.im))
✓	55.6%	#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.re x.im))
✓	49.4%	#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.im x.re))

Compiler

Compiled 63 to 39 computations (38.1% saved)

regimes43.0ms (1.3%)

Memory

-11.4MiB live, 28.2MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

7 calls:

30.0ms	(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))
2.0ms	y.im
2.0ms	x.re
2.0ms	y.re
2.0ms	x.im

Results

Accuracy	Segments	Branch
100.0%	1	`x.re`
100.0%	1	`x.im`
100.0%	1	`y.re`
100.0%	1	`y.im`
100.0%	1	`(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))`
100.0%	1	`(*.f64 x.re y.im)`
100.0%	1	`(*.f64 x.im y.re)`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

regimes72.0ms (2.3%)

Memory

-22.0MiB live, 66.6MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

7 calls:

63.0ms	x.im
2.0ms	x.re
2.0ms	y.im
2.0ms	(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))
2.0ms	y.re

Results

Accuracy	Segments	Branch
76.2%	3	`x.re`
72.3%	3	`x.im`
72.0%	3	`y.re`
73.7%	3	`y.im`
63.6%	4	`(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))`
79.3%	3	`(*.f64 x.re y.im)`
80.6%	3	`(*.f64 x.im y.re)`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

regimes9.0ms (0.3%)

Memory

22.9MiB live, 22.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

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

Compiler

Compiled 17 to 33 computations (-94.1% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.755830587591872e-37	3.0979154659715076e-37
0.0ms	-2.2674173063952507e-30	-1.3751751694172036e-36

Compiler

Compiled 10 to 14 computations (-40% saved)

simplify58.0ms (1.8%)

Memory

-23.1MiB live, 53.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	62
1	22	62

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 (*.f64 x.im y.re) #s(literal -178405961588245/89202980794122492566142873090593446023921664 binary64)) #s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.re x.im)) (if (<=.f64 (*.f64 x.im y.re) #s(literal 4789048565205903/23945242826029513411849172299223580994042798784118784 binary64)) #s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.im x.re)) #s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.re x.im))))

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

Outputs
(fma.f64 y.im x.re (*.f64 y.re x.im))
(fma.f64 y.im x.re (*.f64 x.im y.re))
(if (<=.f64 (.f64 x.im y.re) #s(literal -178405961588245/89202980794122492566142873090593446023921664 binary64)) #s(approx (+ ( x.re y.im) (* x.im y.re)) (.f64 y.re x.im)) (if (<=.f64 (.f64 x.im y.re) #s(literal 4789048565205903/23945242826029513411849172299223580994042798784118784 binary64)) #s(approx (+ (* x.re y.im) (* x.im y.re)) (.f64 y.im x.re)) #s(approx (+ ( x.re y.im) (* x.im y.re)) (*.f64 y.re x.im))))
(if (<=.f64 (.f64 x.im y.re) #s(literal -178405961588245/89202980794122492566142873090593446023921664 binary64)) #s(approx (+ ( x.re y.im) (* x.im y.re)) (.f64 x.im y.re)) (if (<=.f64 (.f64 x.im y.re) #s(literal 4789048565205903/23945242826029513411849172299223580994042798784118784 binary64)) #s(approx (+ (* x.re y.im) (* x.im y.re)) (.f64 x.re y.im)) #s(approx (+ ( x.re y.im) (* x.im y.re)) (*.f64 x.im y.re))))
#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.im x.re))
#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 x.re y.im))

soundness644.0ms (20.1%)

Memory

27.9MiB live, 263.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	69
1	149	69
2	468	69
3	1237	69
4	3370	69
5	5682	69
6	7170	69
0	8027	60
0	7	13
0	10	13
1	26	13
2	182	13
3	1813	13
0	8222	12
0	40	69
1	149	69
2	468	69
3	1237	69
4	3370	69
5	5683	69
6	7170	69
0	8028	60

Stop Event

1×	done
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit

Compiler

Compiled 96 to 53 computations (44.8% saved)

preprocess62.0ms (1.9%)

Memory

-6.0MiB live, 32.0MiB allocated

Remove

(sort x.im y.re)

(sort x.re y.im)

Compiler

Compiled 210 to 122 computations (41.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	36	106
1	74	98
2	129	98
3	295	98
4	442	98
5	574	98
6	625	98
7	639	98
0	7	7
0	10	7
1	13	7
0	13	6

Iter	Nodes	Cost
0	36	106
1	74	98
2	129	98
3	295	98
4	442	98
5	574	98
6	625	98
7	639	98
0	7	7
0	10	7
1	13	7
0	13	6

start0.0ms (0%)

analyze0.0ms (0%)

sample632.0ms (19.8%)

explain62.0ms (1.9%)

preprocess29.0ms (0.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize18.0ms (0.6%)

series7.0ms (0.2%)

simplify99.0ms (3.1%)

rewrite244.0ms (7.6%)

eval18.0ms (0.5%)

prune28.0ms (0.9%)

simplify3.0ms (0.1%)

localize25.0ms (0.8%)

series3.0ms (0.1%)

simplify152.0ms (4.8%)

rewrite288.0ms (9%)

eval32.0ms (1%)

prune3.0ms (0.1%)

simplify315.0ms (9.9%)

localize18.0ms (0.6%)

series3.0ms (0.1%)

simplify110.0ms (3.4%)

rewrite214.0ms (6.7%)

eval2.0ms (0%)

prune2.0ms (0.1%)

regimes43.0ms (1.3%)

regimes72.0ms (2.3%)

regimes9.0ms (0.3%)

bsearch1.0ms (0%)

simplify58.0ms (1.8%)

soundness644.0ms (20.1%)

preprocess62.0ms (1.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	36	106
1	74	98
2	129	98
3	295	98
4	442	98
5	574	98
6	625	98
7	639	98
0	7	7
0	10	7
1	13	7
0	13	6