Metrics for math.cube on complex, real part

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 21 to 13 computations (38.1% saved)

sample1.4s (19.9%)

Memory

-93.4MiB live, 1 311.5MiB allocated

Samples

1.0s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 537.0ms

ival-mult: 392.0ms (73% of total)

ival-sub: 72.0ms (13.4% of total)

ival-add: 64.0ms (11.9% of total)

ival-true: 6.0ms (1.1% of total)

ival-assert: 3.0ms (0.6% of total)

Bogosity

explain285.0ms (4%)

Memory

-27.1MiB live, 373.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
20	-	-	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`
17	-	-	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`
17	-	-	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)`
0	-	-	`(*.f64 x.re x.im)`
0	-	-	`(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))`
0	-	-	`(*.f64 x.im x.im)`
0	-	-	`(*.f64 x.re x.re)`
0	-	-	`(*.f64 x.im x.re)`
0	-	-	`(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)`
0	-	-	`x.re`
0	-	-	`x.im`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`	nan-rescue	20	0
↳	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)`	overflow	100
↳	`(*.f64 x.re x.re)`	overflow	55
↳	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	overflow	98
↳	`(*.f64 x.im x.im)`	overflow	60
↳	`(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)`	overflow	57
↳	`(*.f64 x.im x.re)`	overflow	30
↳	`(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))`	overflow	30
↳	`(*.f64 x.re x.im)`	overflow	30
`*.f64`	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)`	*no**	17	0
`-.f64`	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	nan-rescue	17	0
↳	`(*.f64 x.re x.re)`	overflow	55
↳	`(*.f64 x.im x.im)`	overflow	60

Confusion

	Predicted +	Predicted -
+	47	0
-	0	209

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	47	0	0
-	0	0	209

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	209
1	40
2	7

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

47.0ms

512×

valid

Compiler

Compiled 283 to 59 computations (79.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-mult: 23.0ms (75.7% of total)

ival-sub: 4.0ms (13.2% of total)

ival-add: 2.0ms (6.6% of total)

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

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

preprocess343.0ms (4.8%)

Memory

14.6MiB live, 256.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	107
1	106	89
2	308	85
3	1267	55
4	3190	55
5	5166	55
6	6218	55
7	6536	55
8	6791	55
9	6886	55
10	6903	55
11	7825	55
0	11	19
0	20	19
1	38	17
2	80	17
3	236	11
4	666	11
5	2137	11
6	4288	11
7	6316	11
8	7399	11
9	7722	11
10	7761	11
11	7761	11
0	8052	10

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs x.im)

(negabs x.re)

Compiler

Compiled 19 to 11 computations (42.1% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	81.9%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))

Compiler

Compiled 19 to 11 computations (42.1% saved)

simplify330.0ms (4.6%)

Memory

-16.8MiB live, 193.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x.re x.re)
cost-diff	0	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
cost-diff	128	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
cost-diff	192	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	65
0	20	65
1	38	59
2	80	59
3	236	53
4	666	53
5	2137	53
6	4288	53
7	6316	53
8	7399	53
9	7722	53
10	7761	53
11	7761	53
0	8052	52

Stop Event

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

Calls

Call 1

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

Outputs
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
(fma.f64 #s(literal -3 binary64) (.f64 (.f64 x.im x.re) x.im) (pow.f64 x.re #s(literal 3 binary64)))
(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
(.f64 (.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.re))
(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))
(*.f64 x.re x.re)
x.re
(*.f64 x.im x.im)
x.im
(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
(.f64 (.f64 #s(literal 2 binary64) (*.f64 x.im x.re)) x.im)
(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
(.f64 #s(literal 2 binary64) (.f64 x.im x.re))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
(*.f64 x.im x.re)

localize49.0ms (0.7%)

Memory

10.8MiB live, 47.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.12890625	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
accuracy	3.8945106083020584	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
accuracy	4.038868614771162	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
accuracy	4.046875000000001	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))

Samples

41.0ms

256×

valid

Compiler

Compiled 132 to 24 computations (81.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-add: 22.0ms (66.9% of total)

ival-mult: 9.0ms (27.4% of total)

ival-sub: 2.0ms (6.1% of total)

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

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

series15.0ms (0.2%)

Memory

-7.9MiB live, 27.3MiB allocated

Counts

6 → 22

Calls

Call 1

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

Outputs
(* 2 (* x.im x.re))
(* -1 (pow x.im 2))
(- (pow x.re 2) (pow x.im 2))
(* -1 (* (pow x.im 2) x.re))
(* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(pow x.re 2)
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))
(* 2 (* (pow x.im 2) x.re))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(pow x.re 3)
(* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	x.im	@	0	((+ (* x.re x.im) (* x.im x.re)) (- (* x.re x.re) (* x.im x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (* x.re x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
3.0ms	x.re	@	inf	((+ (* x.re x.im) (* x.im x.re)) (- (* x.re x.re) (* x.im x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (* x.re x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
2.0ms	x.re	@	0	((+ (* x.re x.im) (* x.im x.re)) (- (* x.re x.re) (* x.im x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (* x.re x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
2.0ms	x.re	@	-inf	((+ (* x.re x.im) (* x.im x.re)) (- (* x.re x.re) (* x.im x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (* x.re x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
1.0ms	x.im	@	inf	((+ (* x.re x.im) (* x.im x.re)) (- (* x.re x.re) (* x.im x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (* x.re x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))

simplify158.0ms (2.2%)

Memory

26.3MiB live, 180.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	190
1	169	170
2	519	170
3	2113	170
4	5800	170
0	8265	165

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 22

Calls

Call 1

Inputs
(* 2 (* x.im x.re))
(* -1 (pow x.im 2))
(- (pow x.re 2) (pow x.im 2))
(* -1 (* (pow x.im 2) x.re))
(* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(pow x.re 2)
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))
(* 2 (* (pow x.im 2) x.re))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(pow x.re 3)
(* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))

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

rewrite113.0ms (1.6%)

Memory

-22.4MiB live, 119.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	54
0	20	54
1	83	42
0	572	41

Stop Event

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

Counts

6 → 96

Calls

Call 1

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

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

eval10.0ms (0.1%)

Memory: -6.9MiB live, 31.3MiB allocated
Compiler: Compiled 2 642 to 356 computations (86.5% saved)

prune5.0ms (0.1%)

Memory

12.7MiB live, 12.7MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	99	7	106
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	100	7	107

Accuracy

97.2%

Counts

107 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	17.7%	(-.f64 (.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (fma.f64 (.f64 x.im x.im) (fma.f64 x.im x.im (.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64)))) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
	39.9%	(-.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))))) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
▶	53.2%	(-.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (neg.f64 x.im) x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
▶	65.1%	(-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow.f64 x.re #s(literal 3 binary64))) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
▶	59.3%	(-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (.f64 (.f64 (neg.f64 x.im) x.re) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
▶	87.0%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (*.f64 x.re x.re)) x.re))
▶	53.2%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.im) x.re)))

Compiler

Compiled 382 to 224 computations (41.4% saved)

simplify206.0ms (2.9%)

Memory

-22.3MiB live, 138.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 x.re #s(literal 3 binary64))
cost-diff	0	#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow.f64 x.re #s(literal 3 binary64)))
cost-diff	128	(-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow.f64 x.re #s(literal 3 binary64))) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
cost-diff	192	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
cost-diff	0	#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im))
cost-diff	0	(.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re)
cost-diff	192	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
cost-diff	448	(-.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (neg.f64 x.im) x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
cost-diff	0	(.f64 (.f64 (neg.f64 x.im) x.re) x.im)
cost-diff	0	#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (.f64 (.f64 (neg.f64 x.im) x.re) x.im))
cost-diff	128	(-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (.f64 (.f64 (neg.f64 x.im) x.re) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
cost-diff	192	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
cost-diff	0	(*.f64 x.im x.im)
cost-diff	0	(.f64 (.f64 x.im x.im) x.re)
cost-diff	0	(.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.im) x.re))
cost-diff	0	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.im) x.re)))
cost-diff	0	(*.f64 x.im x.im)
cost-diff	0	(fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (.f64 x.re x.re))
cost-diff	0	(.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (*.f64 x.re x.re)) x.re)
cost-diff	0	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (*.f64 x.re x.re)) x.re))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	324
0	55	324
1	99	302
2	169	302
3	348	286
4	859	286
5	2566	286
6	4571	286
7	6407	286
8	7452	286
9	7915	286
10	7939	286
11	7939	286
0	8043	283

Stop Event

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

Calls

Call 1

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

Outputs
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (*.f64 x.re x.re)) x.re))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re))
(.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (*.f64 x.re x.re)) x.re)
(.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re)
(fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (.f64 x.re x.re))
(fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 x.re x.re))
#s(literal -3 binary64)
(*.f64 x.im x.im)
x.im
(*.f64 x.re x.re)
x.re
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.im) x.re)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64)))
(.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.im) x.re))
(.f64 (.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64))
#s(literal -3 binary64)
(.f64 (.f64 x.im x.im) x.re)
(*.f64 x.im x.im)
x.im
x.re
(-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (.f64 (.f64 (neg.f64 x.im) x.re) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(fma.f64 (.f64 (.f64 #s(literal -2 binary64) x.im) x.im) x.re #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (.f64 (.f64 (neg.f64 x.im) x.re) x.im)))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (.f64 (.f64 (neg.f64 x.im) x.re) x.im))
(.f64 (.f64 (neg.f64 x.im) x.re) x.im)
(*.f64 (neg.f64 x.im) x.re)
(neg.f64 x.im)
x.im
x.re
(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
(.f64 #s(literal 2 binary64) (.f64 (*.f64 x.im x.im) x.re))
(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
(.f64 #s(literal 2 binary64) (.f64 x.im x.re))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(-.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (neg.f64 x.im) x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
(.f64 (fma.f64 (.f64 #s(literal -2 binary64) x.im) x.im #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im))) x.re)
(.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re)
#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im))
(*.f64 (neg.f64 x.im) x.im)
(neg.f64 x.im)
x.im
x.re
(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
(.f64 #s(literal 2 binary64) (.f64 (*.f64 x.im x.im) x.re))
(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
(.f64 #s(literal 2 binary64) (.f64 x.im x.re))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow.f64 x.re #s(literal 3 binary64))) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(fma.f64 (.f64 (.f64 #s(literal -2 binary64) x.im) x.im) x.re #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow.f64 x.re #s(literal 3 binary64))))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow.f64 x.re #s(literal 3 binary64)))
(pow.f64 x.re #s(literal 3 binary64))
x.re
#s(literal 3 binary64)
(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
(.f64 #s(literal 2 binary64) (.f64 (*.f64 x.im x.im) x.re))
(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
(.f64 #s(literal 2 binary64) (.f64 x.im x.re))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
x.im
(*.f64 x.im x.re)

localize104.0ms (1.4%)

Memory

18.9MiB live, 142.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.015625	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
accuracy	0.12890625	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
accuracy	4.046875000000001	(-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow.f64 x.re #s(literal 3 binary64))) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
accuracy	26.178030302620417	#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow.f64 x.re #s(literal 3 binary64)))
accuracy	0.12890625	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
accuracy	4.038868614771162	(.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re)
accuracy	4.046875000000001	(-.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (neg.f64 x.im) x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
accuracy	27.611702046913518	#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im))
accuracy	0.12890625	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
accuracy	0.12890625	(.f64 (.f64 (neg.f64 x.im) x.re) x.im)
accuracy	4.046875000000001	(-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (.f64 (.f64 (neg.f64 x.im) x.re) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
accuracy	25.949850000283092	#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (.f64 (.f64 (neg.f64 x.im) x.re) x.im))
accuracy	0	(*.f64 x.im x.im)
accuracy	0.125	(.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.im) x.re))
accuracy	6.649781808716608	(.f64 (.f64 x.im x.im) x.re)
accuracy	25.950096642820537	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.im) x.re)))
accuracy	0	(*.f64 x.im x.im)
accuracy	0	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (*.f64 x.re x.re)) x.re))
accuracy	3.968729358302058	(fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (.f64 x.re x.re))
accuracy	4.075466431938675	(.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (*.f64 x.re x.re)) x.re)

Samples

46.0ms

256×

valid

Compiler

Compiled 596 to 62 computations (89.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-mult: 18.0ms (69.1% of total)

ival-pow: 3.0ms (11.5% of total)

ival-sub: 2.0ms (7.7% of total)

ival-add: 2.0ms (7.7% of total)

ival-neg: 1.0ms (3.8% of total)

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

exact: 0.0ms (0% of total)

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

series16.0ms (0.2%)

Memory

-5.6MiB live, 33.3MiB allocated

Counts

18 → 34

Calls

Call 1

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

Outputs
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))
(* -3 (* (pow x.im 2) x.re))
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(* -3 (pow x.im 2))
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(* (pow x.im 2) x.re)
(* 2 (* x.im x.re))
(* -1 (* (pow x.im 2) x.re))
(* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(* -1 (pow x.im 2))
(- (pow x.re 2) (pow x.im 2))
(pow x.re 3)
(* 2 (* (pow x.im 2) x.re))
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(pow x.im 2)
(+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	x.re	@	inf	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* -3 (* x.im x.im)) (* x.re x.re)) x.re) (+ (* -3 (* x.im x.im)) (* x.re x.re)) (* x.im x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.im x.im) x.re)) (* (* x.im x.im) x.re) (+ (* x.re x.im) (* x.im x.re)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (* (neg x.im) x.re) x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow x.re 3) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
3.0ms	x.re	@	0	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* -3 (* x.im x.im)) (* x.re x.re)) x.re) (+ (* -3 (* x.im x.im)) (* x.re x.re)) (* x.im x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.im x.im) x.re)) (* (* x.im x.im) x.re) (+ (* x.re x.im) (* x.im x.re)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (* (neg x.im) x.re) x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow x.re 3) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
3.0ms	x.re	@	-inf	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* -3 (* x.im x.im)) (* x.re x.re)) x.re) (+ (* -3 (* x.im x.im)) (* x.re x.re)) (* x.im x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.im x.im) x.re)) (* (* x.im x.im) x.re) (+ (* x.re x.im) (* x.im x.re)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (* (neg x.im) x.re) x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow x.re 3) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
2.0ms	x.im	@	inf	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* -3 (* x.im x.im)) (* x.re x.re)) x.re) (+ (* -3 (* x.im x.im)) (* x.re x.re)) (* x.im x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.im x.im) x.re)) (* (* x.im x.im) x.re) (+ (* x.re x.im) (* x.im x.re)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (* (neg x.im) x.re) x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow x.re 3) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
2.0ms	x.im	@	-inf	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* -3 (* x.im x.im)) (* x.re x.re)) x.re) (+ (* -3 (* x.im x.im)) (* x.re x.re)) (* x.im x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.im x.im) x.re)) (* (* x.im x.im) x.re) (+ (* x.re x.im) (* x.im x.re)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (* (neg x.im) x.re) x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow x.re 3) (* (+ (* x.re x.im) (* x.im x.re)) x.im))

simplify150.0ms (2.1%)

Memory

4.8MiB live, 162.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	312
1	226	272
2	657	272
3	2638	272
4	7102	272
0	8448	259

Stop Event

1×	iter limit
1×	node limit

Counts

34 → 34

Calls

Call 1

Inputs
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))
(* -3 (* (pow x.im 2) x.re))
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(* -3 (pow x.im 2))
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(* (pow x.im 2) x.re)
(* 2 (* x.im x.re))
(* -1 (* (pow x.im 2) x.re))
(* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(* -1 (pow x.im 2))
(- (pow x.re 2) (pow x.im 2))
(pow x.re 3)
(* 2 (* (pow x.im 2) x.re))
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(pow x.im 2)
(+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))

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

rewrite92.0ms (1.3%)

Memory

-28.6MiB live, 97.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	243
0	55	243
1	190	215
0	1194	210

Stop Event

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

Counts

18 → 180

Calls

Call 1

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

Outputs
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re))
(.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re)
(.f64 x.re (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) x.re) (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 (neg.f64 x.re) x.re)))
(/.f64 (.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 binary64))) x.re) (fma.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (.f64 #s(literal -3 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))))
(/.f64 (.f64 x.re (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64)))) (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 (neg.f64 x.re) x.re)))
(/.f64 (.f64 x.re (fma.f64 #s(literal -27 binary64) (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 binary64)))) (fma.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (.f64 #s(literal -3 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))))
(fma.f64 (.f64 #s(literal -3 binary64) x.re) (.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (.f64 #s(literal -3 binary64) x.im) (.f64 x.im x.re) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (pow.f64 x.re #s(literal 3/2 binary64)) (pow.f64 x.re #s(literal 3/2 binary64)) (.f64 (.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64)))
(fma.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) x.re (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (.f64 (.f64 x.im x.im) x.re) #s(literal -3 binary64) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (.f64 x.re x.re) x.re (.f64 (.f64 (.f64 x.im x.im) x.re) #s(literal -3 binary64)))
(fma.f64 (.f64 x.im x.im) (.f64 x.re #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (.f64 x.im x.im) (.f64 #s(literal -3 binary64) x.re) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 #s(literal -3 binary64) (.f64 (.f64 x.im x.im) x.re) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 x.im (.f64 (.f64 x.im x.re) #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 x.re (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 x.re (.f64 x.re x.re) (.f64 (.f64 (.f64 x.im x.im) x.re) #s(literal -3 binary64)))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64)))
(+.f64 (.f64 (.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 (neg.f64 x.re) x.re))))
(.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (.f64 #s(literal -3 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))))))
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#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow.f64 x.re #s(literal 3 binary64)))
(*.f64 (pow.f64 x.re #s(literal 3/2 binary64)) (pow.f64 x.re #s(literal 3/2 binary64)))
(.f64 (.f64 x.re x.re) x.re)
(.f64 x.re (.f64 x.re x.re))
(pow.f64 (exp.f64 (log.f64 x.re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x.re #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x.re x.re) #s(literal 3/2 binary64))
(pow.f64 x.re #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 x.re) #s(literal 3 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im))
(*.f64 (neg.f64 x.im) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (neg.f64 x.im))
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im)
(*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64))) x.im) (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64))))
(/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64))
(/.f64 (.f64 x.im (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64)))) (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 0 binary64) x.im) #s(literal 0 binary64))
(neg.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im))
(fma.f64 (.f64 x.im x.re) x.im (.f64 (*.f64 x.im x.im) x.re))
(fma.f64 (.f64 x.im x.im) x.re (.f64 (*.f64 x.im x.im) x.re))
(fma.f64 x.im (.f64 x.im x.re) (.f64 (*.f64 x.im x.im) x.re))
(fma.f64 x.re (.f64 x.im x.im) (.f64 (*.f64 x.im x.im) x.re))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im))
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eval44.0ms (0.6%)

Memory: 6.0MiB live, 43.9MiB allocated
Compiler: Compiled 9 047 to 656 computations (92.7% saved)

prune42.0ms (0.6%)

Memory

-9.1MiB live, 30.4MiB allocated

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	279	8	287
Fresh	2	0	2
Picked	4	1	5
Done	0	0	0
Total	285	9	294

Accuracy

100.0%

Counts

294 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	65.1%	(-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow.f64 x.re #s(literal 3 binary64))) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.im))
▶	16.2%	(-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (.f64 (.f64 (neg.f64 x.im) x.re) x.im)) (/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64))) x.im) (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64)))))
	38.4%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (/.f64 (.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) x.re) (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 (neg.f64 x.re) x.re))))
▶	53.2%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.im x.im) (*.f64 x.re #s(literal -3 binary64))))
	59.3%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 #s(literal -3 binary64) x.im) (*.f64 x.im x.re)))
▶	59.0%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re))
▶	59.3%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.im (.f64 (*.f64 x.im x.re) #s(literal -3 binary64))))
	59.3%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.re) x.im)))
✓	53.2%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.im) x.re)))

Compiler

Compiled 505 to 298 computations (41% saved)

simplify156.0ms (2.2%)

Memory

22.5MiB live, 100.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (.f64 (.f64 (neg.f64 x.im) x.re) x.im))
cost-diff	128	(-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (.f64 (.f64 (neg.f64 x.im) x.re) x.im)) (/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64))) x.im) (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64)))))
cost-diff	192	(+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))
cost-diff	13952	(/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64))) x.im) (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64))))
cost-diff	0	(*.f64 x.re #s(literal -3 binary64))
cost-diff	0	(*.f64 x.im x.im)
cost-diff	0	(.f64 (.f64 x.im x.im) (*.f64 x.re #s(literal -3 binary64)))
cost-diff	0	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.im x.im) (*.f64 x.re #s(literal -3 binary64))))
cost-diff	0	(*.f64 x.im x.re)
cost-diff	0	(.f64 (.f64 x.im x.re) #s(literal -3 binary64))
cost-diff	0	(.f64 x.im (.f64 (*.f64 x.im x.re) #s(literal -3 binary64)))
cost-diff	0	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.im (.f64 (*.f64 x.im x.re) #s(literal -3 binary64))))
cost-diff	0	(*.f64 x.re x.re)
cost-diff	0	#s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re))
cost-diff	0	(.f64 #s(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re)
cost-diff	0	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re))
cost-diff	0	(.f64 (.f64 x.re (+.f64 x.im x.im)) x.im)
cost-diff	0	(pow.f64 x.re #s(literal 3 binary64))
cost-diff	0	#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow.f64 x.re #s(literal 3 binary64)))
cost-diff	128	(-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow.f64 x.re #s(literal 3 binary64))) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.im))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	330
0	70	310
1	140	304
2	308	304
3	1494	284
4	5559	284
0	8492	276

Stop Event

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

Calls

Call 1

Inputs
(-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow.f64 x.re #s(literal 3 binary64))) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.im))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow.f64 x.re #s(literal 3 binary64)))
(pow.f64 x.re #s(literal 3 binary64))
x.re
#s(literal 3 binary64)
(.f64 (.f64 x.re (+.f64 x.im x.im)) x.im)
(*.f64 x.re (+.f64 x.im x.im))
(+.f64 x.im x.im)
x.im
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re))
(.f64 #s(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re)
#s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re))
(*.f64 x.re x.re)
x.re
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.im (.f64 (*.f64 x.im x.re) #s(literal -3 binary64))))
(.f64 x.im (.f64 (*.f64 x.im x.re) #s(literal -3 binary64)))
x.im
(.f64 (.f64 x.im x.re) #s(literal -3 binary64))
(*.f64 x.im x.re)
x.re
#s(literal -3 binary64)
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.im x.im) (*.f64 x.re #s(literal -3 binary64))))
(.f64 (.f64 x.im x.im) (*.f64 x.re #s(literal -3 binary64)))
(*.f64 x.im x.im)
x.im
(*.f64 x.re #s(literal -3 binary64))
x.re
#s(literal -3 binary64)
(-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (.f64 (.f64 (neg.f64 x.im) x.re) x.im)) (/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64))) x.im) (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64)))))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (.f64 (.f64 (neg.f64 x.im) x.re) x.im))
(.f64 (.f64 (neg.f64 x.im) x.re) x.im)
(*.f64 (neg.f64 x.im) x.re)
(neg.f64 x.im)
x.im
x.re
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64))) x.im) (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64))))
(.f64 (.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) x.im)
(.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64)))
#s(literal 2 binary64)
(pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))
(*.f64 x.im x.re)
#s(literal 3 binary64)
(+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))
#s(literal 0 binary64)
(pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))

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

localize143.0ms (2%)

Memory

-16.9MiB live, 105.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	2.1515400103282643	(.f64 (.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) x.im)
accuracy	4.046875000000001	(-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (.f64 (.f64 (neg.f64 x.im) x.re) x.im)) (/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64))) x.im) (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64)))))
accuracy	25.949850000283092	#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (.f64 (.f64 (neg.f64 x.im) x.re) x.im))
accuracy	39.92356647889351	(/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64))) x.im) (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64))))
accuracy	0	(*.f64 x.re #s(literal -3 binary64))
accuracy	0	(*.f64 x.im x.im)
accuracy	6.7393794165282515	(.f64 (.f64 x.im x.im) (*.f64 x.re #s(literal -3 binary64)))
accuracy	25.950096642820537	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.im x.im) (*.f64 x.re #s(literal -3 binary64))))
accuracy	0	(*.f64 x.im x.re)
accuracy	0.15625	(.f64 x.im (.f64 (*.f64 x.im x.re) #s(literal -3 binary64)))
accuracy	0.25390625	(.f64 (.f64 x.im x.re) #s(literal -3 binary64))
accuracy	25.950096642820537	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.im (.f64 (*.f64 x.im x.re) #s(literal -3 binary64))))
accuracy	0	(*.f64 x.re x.re)
accuracy	0	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re))
accuracy	4.075466431938675	(.f64 #s(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re)
accuracy	29.925498853044367	#s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re))
accuracy	0	(*.f64 x.re (+.f64 x.im x.im))
accuracy	0.12890625	(.f64 (.f64 x.re (+.f64 x.im x.im)) x.im)
accuracy	4.046875000000001	(-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow.f64 x.re #s(literal 3 binary64))) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.im))
accuracy	26.178030302620417	#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow.f64 x.re #s(literal 3 binary64)))

Samples

82.0ms

256×

valid

Compiler

Compiled 600 to 86 computations (85.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-mult: 24.0ms (38.9% of total)

ival-pow2: 22.0ms (35.6% of total)

ival-pow: 5.0ms (8.1% of total)

ival-add: 4.0ms (6.5% of total)

ival-sub: 4.0ms (6.5% of total)

ival-div: 1.0ms (1.6% of total)

ival-neg: 1.0ms (1.6% of total)

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

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

exact: 0.0ms (0% of total)

series24.0ms (0.3%)

Memory

13.3MiB live, 13.3MiB allocated

Counts

22 → 33

Calls

Call 1

Inputs
(-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow.f64 x.re #s(literal 3 binary64))) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.im))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow.f64 x.re #s(literal 3 binary64)))
(pow.f64 x.re #s(literal 3 binary64))
(.f64 (.f64 x.re (+.f64 x.im x.im)) x.im)
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re))
(.f64 #s(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re)
#s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re))
(*.f64 x.re x.re)
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.im (.f64 (*.f64 x.im x.re) #s(literal -3 binary64))))
(.f64 x.im (.f64 (*.f64 x.im x.re) #s(literal -3 binary64)))
(.f64 (.f64 x.im x.re) #s(literal -3 binary64))
(*.f64 x.im x.re)
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.im x.im) (*.f64 x.re #s(literal -3 binary64))))
(.f64 (.f64 x.im x.im) (*.f64 x.re #s(literal -3 binary64)))
(*.f64 x.im x.im)
(*.f64 x.re #s(literal -3 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64))) x.im) (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64))))
(+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))
(-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (.f64 (.f64 (neg.f64 x.im) x.re) x.im)) (/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64))) x.im) (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64)))))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (.f64 (.f64 (neg.f64 x.im) x.re) x.im))
(*.f64 x.re (+.f64 x.im x.im))
(.f64 (.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) x.im)

Outputs
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))
(* -1 (* (pow x.im 2) x.re))
(* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(pow x.re 3)
(* 2 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(* -3 (pow x.im 2))
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(pow x.re 2)
(* -3 (* x.im x.re))
(* x.im x.re)
(* -3 x.re)
(* (pow x.im 2) (pow x.re 2))
(* 2 (* x.im x.re))
(* 2 (* (pow x.im 4) (pow x.re 3)))
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(pow x.im 2)
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	x.im	@	-inf	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (* x.re (+ x.im x.im)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow x.re 3) (* (* x.re (+ x.im x.im)) x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* -3 (* x.im x.im)) (* x.re x.re)) x.re) (+ (* -3 (* x.im x.im)) (* x.re x.re)) (* x.re x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* x.im (* (* x.im x.re) -3)) (* (* x.im x.re) -3) (* x.im x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.im x.im) (* x.re -3)) (* x.im x.im) (* x.re -3) (/ (* (* 2 (pow (* x.im x.re) 3)) x.im) (+ 0 (pow (* x.im x.re) 2))) (+ 0 (pow (* x.im x.re) 2)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (/ (* (* 2 (pow (* x.im x.re) 3)) x.im) (+ 0 (pow (* x.im x.re) 2)))) (* (- (* x.re x.re) (* x.im x.im)) x.re) (* x.re (+ x.im x.im)) (* (* 2 (pow (* x.im x.re) 3)) x.im))
4.0ms	x.re	@	-inf	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (* x.re (+ x.im x.im)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow x.re 3) (* (* x.re (+ x.im x.im)) x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* -3 (* x.im x.im)) (* x.re x.re)) x.re) (+ (* -3 (* x.im x.im)) (* x.re x.re)) (* x.re x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* x.im (* (* x.im x.re) -3)) (* (* x.im x.re) -3) (* x.im x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.im x.im) (* x.re -3)) (* x.im x.im) (* x.re -3) (/ (* (* 2 (pow (* x.im x.re) 3)) x.im) (+ 0 (pow (* x.im x.re) 2))) (+ 0 (pow (* x.im x.re) 2)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (/ (* (* 2 (pow (* x.im x.re) 3)) x.im) (+ 0 (pow (* x.im x.re) 2)))) (* (- (* x.re x.re) (* x.im x.im)) x.re) (* x.re (+ x.im x.im)) (* (* 2 (pow (* x.im x.re) 3)) x.im))
3.0ms	x.re	@	inf	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (* x.re (+ x.im x.im)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow x.re 3) (* (* x.re (+ x.im x.im)) x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* -3 (* x.im x.im)) (* x.re x.re)) x.re) (+ (* -3 (* x.im x.im)) (* x.re x.re)) (* x.re x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* x.im (* (* x.im x.re) -3)) (* (* x.im x.re) -3) (* x.im x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.im x.im) (* x.re -3)) (* x.im x.im) (* x.re -3) (/ (* (* 2 (pow (* x.im x.re) 3)) x.im) (+ 0 (pow (* x.im x.re) 2))) (+ 0 (pow (* x.im x.re) 2)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (/ (* (* 2 (pow (* x.im x.re) 3)) x.im) (+ 0 (pow (* x.im x.re) 2)))) (* (- (* x.re x.re) (* x.im x.im)) x.re) (* x.re (+ x.im x.im)) (* (* 2 (pow (* x.im x.re) 3)) x.im))
3.0ms	x.re	@	0	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (* x.re (+ x.im x.im)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow x.re 3) (* (* x.re (+ x.im x.im)) x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* -3 (* x.im x.im)) (* x.re x.re)) x.re) (+ (* -3 (* x.im x.im)) (* x.re x.re)) (* x.re x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* x.im (* (* x.im x.re) -3)) (* (* x.im x.re) -3) (* x.im x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.im x.im) (* x.re -3)) (* x.im x.im) (* x.re -3) (/ (* (* 2 (pow (* x.im x.re) 3)) x.im) (+ 0 (pow (* x.im x.re) 2))) (+ 0 (pow (* x.im x.re) 2)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (/ (* (* 2 (pow (* x.im x.re) 3)) x.im) (+ 0 (pow (* x.im x.re) 2)))) (* (- (* x.re x.re) (* x.im x.im)) x.re) (* x.re (+ x.im x.im)) (* (* 2 (pow (* x.im x.re) 3)) x.im))
3.0ms	x.im	@	inf	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (* x.re (+ x.im x.im)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow x.re 3) (* (* x.re (+ x.im x.im)) x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* -3 (* x.im x.im)) (* x.re x.re)) x.re) (+ (* -3 (* x.im x.im)) (* x.re x.re)) (* x.re x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* x.im (* (* x.im x.re) -3)) (* (* x.im x.re) -3) (* x.im x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.im x.im) (* x.re -3)) (* x.im x.im) (* x.re -3) (/ (* (* 2 (pow (* x.im x.re) 3)) x.im) (+ 0 (pow (* x.im x.re) 2))) (+ 0 (pow (* x.im x.re) 2)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (/ (* (* 2 (pow (* x.im x.re) 3)) x.im) (+ 0 (pow (* x.im x.re) 2)))) (* (- (* x.re x.re) (* x.im x.im)) x.re) (* x.re (+ x.im x.im)) (* (* 2 (pow (* x.im x.re) 3)) x.im))

simplify158.0ms (2.2%)

Memory

28.8MiB live, 98.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	317
1	228	262
2	658	262
3	2608	262
4	7108	262
0	8217	249

Stop Event

1×	iter limit
1×	node limit

Counts

33 → 33

Calls

Call 1

Inputs
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))
(* -1 (* (pow x.im 2) x.re))
(* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(pow x.re 3)
(* 2 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(* -3 (pow x.im 2))
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(pow x.re 2)
(* -3 (* x.im x.re))
(* x.im x.re)
(* -3 x.re)
(* (pow x.im 2) (pow x.re 2))
(* 2 (* x.im x.re))
(* 2 (* (pow x.im 4) (pow x.re 3)))
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(pow x.im 2)
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))

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

rewrite134.0ms (1.9%)

Memory

-32.0MiB live, 55.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	280
0	70	256
1	268	222
0	1867	214

Stop Event

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

Counts

22 → 561

Calls

Call 1

Inputs
(-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow.f64 x.re #s(literal 3 binary64))) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.im))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow.f64 x.re #s(literal 3 binary64)))
(pow.f64 x.re #s(literal 3 binary64))
(.f64 (.f64 x.re (+.f64 x.im x.im)) x.im)
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re))
(.f64 #s(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re)
#s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re))
(*.f64 x.re x.re)
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.im (.f64 (*.f64 x.im x.re) #s(literal -3 binary64))))
(.f64 x.im (.f64 (*.f64 x.im x.re) #s(literal -3 binary64)))
(.f64 (.f64 x.im x.re) #s(literal -3 binary64))
(*.f64 x.im x.re)
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.im x.im) (*.f64 x.re #s(literal -3 binary64))))
(.f64 (.f64 x.im x.im) (*.f64 x.re #s(literal -3 binary64)))
(*.f64 x.im x.im)
(*.f64 x.re #s(literal -3 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64))) x.im) (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64))))
(+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))
(-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (.f64 (.f64 (neg.f64 x.im) x.re) x.im)) (/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64))) x.im) (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64)))))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (.f64 (.f64 (neg.f64 x.im) x.re) x.im))
(*.f64 x.re (+.f64 x.im x.im))
(.f64 (.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) x.im)

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

eval136.0ms (1.9%)

Memory: 2.4MiB live, 76.7MiB allocated
Compiler: Compiled 11 108 to 914 computations (91.8% saved)

prune19.0ms (0.3%)

Memory

23.1MiB live, 23.1MiB allocated

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	359	6	365
Fresh	1	2	3
Picked	2	3	5
Done	0	1	1
Total	362	12	374

Accuracy

100.0%

Counts

374 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.7%	(fma.f64 (.f64 #s(literal 2 binary64) x.im) x.im #s(approx ( (- (* x.re x.re) (* x.im x.im)) x.re) (pow.f64 x.re #s(literal 3 binary64))))
▶	54.6%	(fma.f64 x.im (+.f64 x.re x.re) #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow.f64 x.re #s(literal 3 binary64))))
	40.2%	(fma.f64 x.im #s(literal 2 binary64) #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow.f64 x.re #s(literal 3 binary64))))
▶	16.2%	(-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (.f64 (.f64 (neg.f64 x.im) x.re) x.im)) (/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64))) x.im) (.f64 (.f64 x.im x.re) (.f64 x.im x.re))))
▶	38.4%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (/.f64 (.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) x.re) (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 (neg.f64 x.re) x.re))))
✓	53.2%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.im x.im) (*.f64 x.re #s(literal -3 binary64))))
✓	59.0%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re))
✓	59.3%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.im (.f64 (*.f64 x.im x.re) #s(literal -3 binary64))))
▶	59.3%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.im (.f64 (*.f64 #s(literal -3 binary64) x.im) x.re)))
	57.2%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.im (.f64 (exp.f64 (.f64 (log.f64 (.f64 x.im x.re)) #s(literal 1 binary64))) #s(literal -3 binary64))))
▶	59.3%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.re) x.im)))
✓	53.2%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.im) x.re)))

Compiler

Compiled 540 to 326 computations (39.6% saved)

simplify226.0ms (3.1%)

Memory

-24.0MiB live, 61.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64)))
cost-diff	0	(.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) x.re)
cost-diff	0	(/.f64 (.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) x.re) (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 (neg.f64 x.re) x.re)))
cost-diff	0	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (/.f64 (.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) x.re) (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 (neg.f64 x.re) x.re))))
cost-diff	0	(.f64 (.f64 (neg.f64 x.im) x.re) x.im)
cost-diff	0	#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (.f64 (.f64 (neg.f64 x.im) x.re) x.im))
cost-diff	128	(-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (.f64 (.f64 (neg.f64 x.im) x.re) x.im)) (/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64))) x.im) (.f64 (.f64 x.im x.re) (.f64 x.im x.re))))
cost-diff	8128	(/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64))) x.im) (.f64 (.f64 x.im x.re) (.f64 x.im x.re)))
cost-diff	-128	(+.f64 x.re x.re)
cost-diff	0	(pow.f64 x.re #s(literal 3 binary64))
cost-diff	0	#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow.f64 x.re #s(literal 3 binary64)))
cost-diff	0	(fma.f64 x.im (+.f64 x.re x.re) #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow.f64 x.re #s(literal 3 binary64))))
cost-diff	0	(*.f64 #s(literal -3 binary64) x.im)
cost-diff	0	(.f64 (.f64 #s(literal -3 binary64) x.im) x.re)
cost-diff	0	(.f64 x.im (.f64 (*.f64 #s(literal -3 binary64) x.im) x.re))
cost-diff	0	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.im (.f64 (*.f64 #s(literal -3 binary64) x.im) x.re)))
cost-diff	0	(*.f64 x.im x.re)
cost-diff	0	(.f64 (.f64 x.im x.re) x.im)
cost-diff	0	(.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.re) x.im))
cost-diff	0	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.re) x.im)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	360
0	77	354
1	154	354
2	395	346
3	2436	318
4	6145	316
0	8724	312

Stop Event

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

Calls

Call 1

Inputs
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.re) x.im)))
(.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.re) x.im))
#s(literal -3 binary64)
(.f64 (.f64 x.im x.re) x.im)
(*.f64 x.im x.re)
x.im
x.re
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.im (.f64 (*.f64 #s(literal -3 binary64) x.im) x.re)))
(.f64 x.im (.f64 (*.f64 #s(literal -3 binary64) x.im) x.re))
x.im
(.f64 (.f64 #s(literal -3 binary64) x.im) x.re)
(*.f64 #s(literal -3 binary64) x.im)
#s(literal -3 binary64)
x.re
(fma.f64 x.im (+.f64 x.re x.re) #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow.f64 x.re #s(literal 3 binary64))))
x.im
(+.f64 x.re x.re)
x.re
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow.f64 x.re #s(literal 3 binary64)))
(pow.f64 x.re #s(literal 3 binary64))
#s(literal 3 binary64)
(-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (.f64 (.f64 (neg.f64 x.im) x.re) x.im)) (/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64))) x.im) (.f64 (.f64 x.im x.re) (.f64 x.im x.re))))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (.f64 (.f64 (neg.f64 x.im) x.re) x.im))
(.f64 (.f64 (neg.f64 x.im) x.re) x.im)
(*.f64 (neg.f64 x.im) x.re)
(neg.f64 x.im)
x.im
x.re
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64))) x.im) (.f64 (.f64 x.im x.re) (.f64 x.im x.re)))
(.f64 (.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) x.im)
(.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64)))
#s(literal 2 binary64)
(pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))
(*.f64 x.im x.re)
#s(literal 3 binary64)
(.f64 (.f64 x.im x.re) (*.f64 x.im x.re))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (/.f64 (.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) x.re) (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 (neg.f64 x.re) x.re))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) x.re) (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 (neg.f64 x.re) x.re)))
(.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) x.re)
(-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64)))
(*.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64)))
#s(literal 9 binary64)
(pow.f64 x.im #s(literal 4 binary64))
x.im
#s(literal 4 binary64)
(pow.f64 x.re #s(literal 4 binary64))
x.re
(fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 (neg.f64 x.re) x.re))
(*.f64 #s(literal -3 binary64) x.im)
#s(literal -3 binary64)
(*.f64 (neg.f64 x.re) x.re)
(neg.f64 x.re)

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

localize138.0ms (1.9%)

Memory

21.1MiB live, 97.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.078125	(*.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64)))
accuracy	2.1515847586958583	(.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) x.re)
accuracy	7.386685723283294	(-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64)))
accuracy	33.61717140917317	(/.f64 (.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) x.re) (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 (neg.f64 x.re) x.re)))
accuracy	2.1515400103282643	(.f64 (.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) x.im)
accuracy	4.046875000000001	(-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (.f64 (.f64 (neg.f64 x.im) x.re) x.im)) (/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64))) x.im) (.f64 (.f64 x.im x.re) (.f64 x.im x.re))))
accuracy	25.949850000283092	#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (.f64 (.f64 (neg.f64 x.im) x.re) x.im))
accuracy	39.92356647889351	(/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64))) x.im) (.f64 (.f64 x.im x.re) (.f64 x.im x.re)))
accuracy	0	(pow.f64 x.re #s(literal 3 binary64))
accuracy	0	(+.f64 x.re x.re)
accuracy	0.00390625	(fma.f64 x.im (+.f64 x.re x.re) #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow.f64 x.re #s(literal 3 binary64))))
accuracy	26.178030302620417	#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow.f64 x.re #s(literal 3 binary64)))
accuracy	0	(*.f64 #s(literal -3 binary64) x.im)
accuracy	0.15625	(.f64 x.im (.f64 (*.f64 #s(literal -3 binary64) x.im) x.re))
accuracy	0.19921875	(.f64 (.f64 #s(literal -3 binary64) x.im) x.re)
accuracy	25.950096642820537	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.im (.f64 (*.f64 #s(literal -3 binary64) x.im) x.re)))
accuracy	0	(*.f64 x.im x.re)
accuracy	0.125	(.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.re) x.im))
accuracy	0.12890625	(.f64 (.f64 x.im x.re) x.im)
accuracy	25.950096642820537	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.re) x.im)))

Samples

101.0ms

256×

valid

Compiler

Compiled 665 to 94 computations (85.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 81.0ms

ival-pow: 40.0ms (49.1% of total)

ival-mult: 28.0ms (34.4% of total)

ival-add: 4.0ms (4.9% of total)

ival-sub: 4.0ms (4.9% of total)

ival-div: 3.0ms (3.7% of total)

ival-neg: 2.0ms (2.5% of total)

exact: 1.0ms (1.2% of total)

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

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

series72.0ms (1%)

Memory

-21.5MiB live, 16.6MiB allocated

Counts

22 → 49

Calls

Call 1

Inputs
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.re) x.im)))
(.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.re) x.im))
(.f64 (.f64 x.im x.re) x.im)
(*.f64 x.im x.re)
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.im (.f64 (*.f64 #s(literal -3 binary64) x.im) x.re)))
(.f64 x.im (.f64 (*.f64 #s(literal -3 binary64) x.im) x.re))
(.f64 (.f64 #s(literal -3 binary64) x.im) x.re)
(*.f64 #s(literal -3 binary64) x.im)
(fma.f64 x.im (+.f64 x.re x.re) #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow.f64 x.re #s(literal 3 binary64))))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow.f64 x.re #s(literal 3 binary64)))
(pow.f64 x.re #s(literal 3 binary64))
(+.f64 x.re x.re)
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64))) x.im) (.f64 (.f64 x.im x.re) (.f64 x.im x.re)))
(-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (.f64 (.f64 (neg.f64 x.im) x.re) x.im)) (/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64))) x.im) (.f64 (.f64 x.im x.re) (.f64 x.im x.re))))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (.f64 (.f64 (neg.f64 x.im) x.re) x.im))
(.f64 (.f64 (neg.f64 x.im) x.re) x.im)
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (/.f64 (.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) x.re) (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 (neg.f64 x.re) x.re))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) x.re) (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 (neg.f64 x.re) x.re)))
(.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) x.re)
(-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64)))
(.f64 (.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) x.im)
(*.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64)))

Outputs
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))
(* -3 (* (pow x.im 2) x.re))
(* (pow x.im 2) x.re)
(* x.im x.re)
(* -3 (* x.im x.re))
(* x.re (+ (* -1 (pow x.im 2)) (* 2 x.im)))
(* x.re (+ (* -1 (pow x.im 2)) (+ (* 2 x.im) (pow x.re 2))))
(* -1 (* (pow x.im 2) x.re))
(* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(pow x.re 3)
(* 2 x.re)
(* 2 (* (pow x.im 2) x.re))
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(* 9 (* (pow x.im 4) x.re))
(* x.re (+ (* -1 (pow x.re 4)) (* 9 (pow x.im 4))))
(* 9 (pow x.im 4))
(+ (* -1 (pow x.re 4)) (* 9 (pow x.im 4)))
(* 2 (* (pow x.im 4) (pow x.re 3)))
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))
(* (pow x.re 3) (- (+ 1 (* 2 (/ x.im (pow x.re 2)))) (/ (pow x.im 2) (pow x.re 2))))
(* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(* -1 (pow x.re 5))
(* (pow x.re 5) (- (* 9 (/ (pow x.im 4) (pow x.re 4))) 1))
(* -1 (pow x.re 4))
(* (pow x.re 4) (- (* 9 (/ (pow x.im 4) (pow x.re 4))) 1))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(* -1 (* (pow x.re 3) (- (+ (* -2 (/ x.im (pow x.re 2))) (/ (pow x.im 2) (pow x.re 2))) 1)))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(* -1 (* (pow x.re 5) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4))))))
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(* -3 x.im)
(+ (* 2 (* x.im x.re)) (pow x.re 3))
(+ (* x.im (+ (* -1 (* x.im x.re)) (* 2 x.re))) (pow x.re 3))
(+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(+ (* -1 (pow x.re 5)) (* 9 (* (pow x.im 4) x.re)))
(- (* 9 (pow x.im 4)) (pow x.re 4))
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(* (pow x.im 2) (+ (* -1 x.re) (* 2 (/ x.re x.im))))
(* (pow x.im 2) (+ (* -1 x.re) (+ (* 2 (/ x.re x.im)) (/ (pow x.re 3) (pow x.im 2)))))
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 4) (+ (* -1 (/ (pow x.re 5) (pow x.im 4))) (* 9 x.re)))
(* (pow x.im 4) (+ 9 (* -1 (/ (pow x.re 4) (pow x.im 4)))))
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -2 x.re) (* -1 (/ (pow x.re 3) x.im))) x.im))))

Calls

6 calls:

Time	Variable		Point	Expression
50.0ms	x.im	@	0	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.im x.re) x.im)) (* (* x.im x.re) x.im) (* x.im x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* x.im (* (* -3 x.im) x.re)) (* (* -3 x.im) x.re) (* -3 x.im) (+ (* x.im (+ x.re x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow x.re 3) (+ x.re x.re) (/ (* (* 2 (pow (* x.im x.re) 3)) x.im) (* (* x.im x.re) (* x.im x.re))) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (/ (* (* 2 (pow (* x.im x.re) 3)) x.im) (* (* x.im x.re) (* x.im x.re)))) (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (* (neg x.im) x.re) x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (/ (* (- (* 9 (pow x.im 4)) (pow x.re 4)) x.re) (+ (* (* -3 x.im) x.im) (* (neg x.re) x.re))) (* (- (* 9 (pow x.im 4)) (pow x.re 4)) x.re) (- (* 9 (pow x.im 4)) (pow x.re 4)) (* (* 2 (pow (* x.im x.re) 3)) x.im) (* 9 (pow x.im 4)))
5.0ms	x.re	@	-inf	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.im x.re) x.im)) (* (* x.im x.re) x.im) (* x.im x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* x.im (* (* -3 x.im) x.re)) (* (* -3 x.im) x.re) (* -3 x.im) (+ (* x.im (+ x.re x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow x.re 3) (+ x.re x.re) (/ (* (* 2 (pow (* x.im x.re) 3)) x.im) (* (* x.im x.re) (* x.im x.re))) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (/ (* (* 2 (pow (* x.im x.re) 3)) x.im) (* (* x.im x.re) (* x.im x.re)))) (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (* (neg x.im) x.re) x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (/ (* (- (* 9 (pow x.im 4)) (pow x.re 4)) x.re) (+ (* (* -3 x.im) x.im) (* (neg x.re) x.re))) (* (- (* 9 (pow x.im 4)) (pow x.re 4)) x.re) (- (* 9 (pow x.im 4)) (pow x.re 4)) (* (* 2 (pow (* x.im x.re) 3)) x.im) (* 9 (pow x.im 4)))
4.0ms	x.im	@	inf	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.im x.re) x.im)) (* (* x.im x.re) x.im) (* x.im x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* x.im (* (* -3 x.im) x.re)) (* (* -3 x.im) x.re) (* -3 x.im) (+ (* x.im (+ x.re x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow x.re 3) (+ x.re x.re) (/ (* (* 2 (pow (* x.im x.re) 3)) x.im) (* (* x.im x.re) (* x.im x.re))) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (/ (* (* 2 (pow (* x.im x.re) 3)) x.im) (* (* x.im x.re) (* x.im x.re)))) (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (* (neg x.im) x.re) x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (/ (* (- (* 9 (pow x.im 4)) (pow x.re 4)) x.re) (+ (* (* -3 x.im) x.im) (* (neg x.re) x.re))) (* (- (* 9 (pow x.im 4)) (pow x.re 4)) x.re) (- (* 9 (pow x.im 4)) (pow x.re 4)) (* (* 2 (pow (* x.im x.re) 3)) x.im) (* 9 (pow x.im 4)))
4.0ms	x.re	@	inf	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.im x.re) x.im)) (* (* x.im x.re) x.im) (* x.im x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* x.im (* (* -3 x.im) x.re)) (* (* -3 x.im) x.re) (* -3 x.im) (+ (* x.im (+ x.re x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow x.re 3) (+ x.re x.re) (/ (* (* 2 (pow (* x.im x.re) 3)) x.im) (* (* x.im x.re) (* x.im x.re))) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (/ (* (* 2 (pow (* x.im x.re) 3)) x.im) (* (* x.im x.re) (* x.im x.re)))) (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (* (neg x.im) x.re) x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (/ (* (- (* 9 (pow x.im 4)) (pow x.re 4)) x.re) (+ (* (* -3 x.im) x.im) (* (neg x.re) x.re))) (* (- (* 9 (pow x.im 4)) (pow x.re 4)) x.re) (- (* 9 (pow x.im 4)) (pow x.re 4)) (* (* 2 (pow (* x.im x.re) 3)) x.im) (* 9 (pow x.im 4)))
4.0ms	x.re	@	0	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.im x.re) x.im)) (* (* x.im x.re) x.im) (* x.im x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* x.im (* (* -3 x.im) x.re)) (* (* -3 x.im) x.re) (* -3 x.im) (+ (* x.im (+ x.re x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow x.re 3) (+ x.re x.re) (/ (* (* 2 (pow (* x.im x.re) 3)) x.im) (* (* x.im x.re) (* x.im x.re))) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (/ (* (* 2 (pow (* x.im x.re) 3)) x.im) (* (* x.im x.re) (* x.im x.re)))) (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (* (neg x.im) x.re) x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (/ (* (- (* 9 (pow x.im 4)) (pow x.re 4)) x.re) (+ (* (* -3 x.im) x.im) (* (neg x.re) x.re))) (* (- (* 9 (pow x.im 4)) (pow x.re 4)) x.re) (- (* 9 (pow x.im 4)) (pow x.re 4)) (* (* 2 (pow (* x.im x.re) 3)) x.im) (* 9 (pow x.im 4)))

simplify293.0ms (4.1%)

Memory

17.7MiB live, 100.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	141	554
1	419	505
2	1138	486
3	3651	481
0	8514	460

Stop Event

1×	iter limit
1×	node limit

Counts

49 → 49

Calls

Call 1

Inputs
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))
(* -3 (* (pow x.im 2) x.re))
(* (pow x.im 2) x.re)
(* x.im x.re)
(* -3 (* x.im x.re))
(* x.re (+ (* -1 (pow x.im 2)) (* 2 x.im)))
(* x.re (+ (* -1 (pow x.im 2)) (+ (* 2 x.im) (pow x.re 2))))
(* -1 (* (pow x.im 2) x.re))
(* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(pow x.re 3)
(* 2 x.re)
(* 2 (* (pow x.im 2) x.re))
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(* 9 (* (pow x.im 4) x.re))
(* x.re (+ (* -1 (pow x.re 4)) (* 9 (pow x.im 4))))
(* 9 (pow x.im 4))
(+ (* -1 (pow x.re 4)) (* 9 (pow x.im 4)))
(* 2 (* (pow x.im 4) (pow x.re 3)))
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))
(* (pow x.re 3) (- (+ 1 (* 2 (/ x.im (pow x.re 2)))) (/ (pow x.im 2) (pow x.re 2))))
(* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(* -1 (pow x.re 5))
(* (pow x.re 5) (- (* 9 (/ (pow x.im 4) (pow x.re 4))) 1))
(* -1 (pow x.re 4))
(* (pow x.re 4) (- (* 9 (/ (pow x.im 4) (pow x.re 4))) 1))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(* -1 (* (pow x.re 3) (- (+ (* -2 (/ x.im (pow x.re 2))) (/ (pow x.im 2) (pow x.re 2))) 1)))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(* -1 (* (pow x.re 5) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4))))))
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(* -3 x.im)
(+ (* 2 (* x.im x.re)) (pow x.re 3))
(+ (* x.im (+ (* -1 (* x.im x.re)) (* 2 x.re))) (pow x.re 3))
(+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(+ (* -1 (pow x.re 5)) (* 9 (* (pow x.im 4) x.re)))
(- (* 9 (pow x.im 4)) (pow x.re 4))
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(* (pow x.im 2) (+ (* -1 x.re) (* 2 (/ x.re x.im))))
(* (pow x.im 2) (+ (* -1 x.re) (+ (* 2 (/ x.re x.im)) (/ (pow x.re 3) (pow x.im 2)))))
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 4) (+ (* -1 (/ (pow x.re 5) (pow x.im 4))) (* 9 x.re)))
(* (pow x.im 4) (+ 9 (* -1 (/ (pow x.re 4) (pow x.im 4)))))
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -2 x.re) (* -1 (/ (pow x.re 3) x.im))) x.im))))

Outputs
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))
(.f64 (.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re)
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))
(.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (*.f64 x.re x.re)) x.re)
(* -3 (* (pow x.im 2) x.re))
(.f64 (.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re)
(* (pow x.im 2) x.re)
(.f64 (.f64 x.im x.im) x.re)
(* x.im x.re)
(*.f64 x.im x.re)
(* -3 (* x.im x.re))
(.f64 (.f64 #s(literal -3 binary64) x.re) x.im)
(* x.re (+ (* -1 (pow x.im 2)) (* 2 x.im)))
(.f64 (.f64 (-.f64 #s(literal 2 binary64) x.im) x.re) x.im)
(* x.re (+ (* -1 (pow x.im 2)) (+ (* 2 x.im) (pow x.re 2))))
(fma.f64 x.re (*.f64 (-.f64 #s(literal 2 binary64) x.im) x.im) (pow.f64 x.re #s(literal 3 binary64)))
(* -1 (* (pow x.im 2) x.re))
(.f64 (.f64 (neg.f64 x.re) x.im) x.im)
(* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(.f64 (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) x.re)
(pow x.re 3)
(pow.f64 x.re #s(literal 3 binary64))
(* 2 x.re)
(*.f64 #s(literal 2 binary64) x.re)
(* 2 (* (pow x.im 2) x.re))
(.f64 (.f64 (*.f64 x.im x.im) x.re) #s(literal 2 binary64))
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (*.f64 x.re x.re)) x.re)
(* 9 (* (pow x.im 4) x.re))
(.f64 (.f64 (pow.f64 x.im #s(literal 4 binary64)) x.re) #s(literal 9 binary64))
(* x.re (+ (* -1 (pow x.re 4)) (* 9 (pow x.im 4))))
(*.f64 (fma.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64) (neg.f64 (pow.f64 x.re #s(literal 4 binary64)))) x.re)
(* 9 (pow x.im 4))
(*.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64))
(+ (* -1 (pow x.re 4)) (* 9 (pow x.im 4)))
(fma.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64) (neg.f64 (pow.f64 x.re #s(literal 4 binary64))))
(* 2 (* (pow x.im 4) (pow x.re 3)))
(.f64 (.f64 (pow.f64 x.re #s(literal 3 binary64)) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64)))
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))
(.f64 (fma.f64 (.f64 (/.f64 x.im x.re) #s(literal -3 binary64)) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(* (pow x.re 3) (- (+ 1 (* 2 (/ x.im (pow x.re 2)))) (/ (pow x.im 2) (pow x.re 2))))
(.f64 (fma.f64 (/.f64 x.im (.f64 x.re x.re)) (-.f64 #s(literal 2 binary64) x.im) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 x.im (*.f64 x.re x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64)))
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(.f64 (fma.f64 (.f64 (/.f64 x.im x.re) #s(literal -3 binary64)) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(* -1 (pow x.re 5))
(neg.f64 (pow.f64 x.re #s(literal 5 binary64)))
(* (pow x.re 5) (- (* 9 (/ (pow x.im 4) (pow x.re 4))) 1))
(*.f64 (fma.f64 (/.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 x.re #s(literal 5 binary64)))
(* -1 (pow x.re 4))
(neg.f64 (pow.f64 x.re #s(literal 4 binary64)))
(* (pow x.re 4) (- (* 9 (/ (pow x.im 4) (pow x.re 4))) 1))
(*.f64 (fma.f64 (/.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 x.re #s(literal 4 binary64)))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(.f64 (fma.f64 (.f64 (/.f64 x.im x.re) #s(literal -3 binary64)) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(* -1 (* (pow x.re 3) (- (+ (* -2 (/ x.im (pow x.re 2))) (/ (pow x.im 2) (pow x.re 2))) 1)))
(.f64 (fma.f64 (/.f64 x.im (.f64 x.re x.re)) (-.f64 #s(literal 2 binary64) x.im) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 x.im (*.f64 x.re x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64)))
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(.f64 (fma.f64 (.f64 (/.f64 x.im x.re) #s(literal -3 binary64)) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(* -1 (* (pow x.re 5) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4))))))
(*.f64 (fma.f64 (/.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 x.re #s(literal 5 binary64)))
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (*.f64 x.re x.re)) x.re)
(* -3 x.im)
(*.f64 #s(literal -3 binary64) x.im)
(+ (* 2 (* x.im x.re)) (pow x.re 3))
(.f64 (fma.f64 #s(literal 2 binary64) x.im (.f64 x.re x.re)) x.re)
(+ (* x.im (+ (* -1 (* x.im x.re)) (* 2 x.re))) (pow x.re 3))
(fma.f64 x.re (*.f64 (-.f64 #s(literal 2 binary64) x.im) x.im) (pow.f64 x.re #s(literal 3 binary64)))
(+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))
(.f64 (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) x.re)
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (*.f64 x.re x.re)) x.re)
(+ (* -1 (pow x.re 5)) (* 9 (* (pow x.im 4) x.re)))
(*.f64 (fma.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64) (neg.f64 (pow.f64 x.re #s(literal 4 binary64)))) x.re)
(- (* 9 (pow x.im 4)) (pow x.re 4))
(fma.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64) (neg.f64 (pow.f64 x.re #s(literal 4 binary64))))
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(.f64 (.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re)
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (*.f64 x.re x.re)) x.re)
(* (pow x.im 2) (+ (* -1 x.re) (* 2 (/ x.re x.im))))
(.f64 (.f64 (fma.f64 (/.f64 x.re x.im) #s(literal 2 binary64) (neg.f64 x.re)) x.im) x.im)
(* (pow x.im 2) (+ (* -1 x.re) (+ (* 2 (/ x.re x.im)) (/ (pow x.re 3) (pow x.im 2)))))
(fma.f64 (*.f64 (fma.f64 (/.f64 x.re x.im) #s(literal 2 binary64) (neg.f64 x.re)) x.im) x.im (pow.f64 x.re #s(literal 3 binary64)))
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))
(.f64 (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) x.re)
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (*.f64 x.re x.re)) x.re)
(* (pow x.im 4) (+ (* -1 (/ (pow x.re 5) (pow x.im 4))) (* 9 x.re)))
(*.f64 (fma.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64) (neg.f64 (pow.f64 x.re #s(literal 4 binary64)))) x.re)
(* (pow x.im 4) (+ 9 (* -1 (/ (pow x.re 4) (pow x.im 4)))))
(fma.f64 (neg.f64 (pow.f64 x.re #s(literal 4 binary64))) #s(literal 1 binary64) (*.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64)))
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -2 x.re) (* -1 (/ (pow x.re 3) x.im))) x.im))))
(fma.f64 (*.f64 (fma.f64 (/.f64 x.re x.im) #s(literal 2 binary64) (neg.f64 x.re)) x.im) x.im (pow.f64 x.re #s(literal 3 binary64)))

rewrite461.0ms (6.4%)

Memory

10.0MiB live, 129.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	290
0	77	280
1	287	247
2	2090	247
0	8917	240

Stop Event

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

Counts

22 → 552

Calls

Call 1

Inputs
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.re) x.im)))
(.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.re) x.im))
(.f64 (.f64 x.im x.re) x.im)
(*.f64 x.im x.re)
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.im (.f64 (*.f64 #s(literal -3 binary64) x.im) x.re)))
(.f64 x.im (.f64 (*.f64 #s(literal -3 binary64) x.im) x.re))
(.f64 (.f64 #s(literal -3 binary64) x.im) x.re)
(*.f64 #s(literal -3 binary64) x.im)
(fma.f64 x.im (+.f64 x.re x.re) #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow.f64 x.re #s(literal 3 binary64))))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow.f64 x.re #s(literal 3 binary64)))
(pow.f64 x.re #s(literal 3 binary64))
(+.f64 x.re x.re)
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64))) x.im) (.f64 (.f64 x.im x.re) (.f64 x.im x.re)))
(-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (.f64 (.f64 (neg.f64 x.im) x.re) x.im)) (/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64))) x.im) (.f64 (.f64 x.im x.re) (.f64 x.im x.re))))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (.f64 (.f64 (neg.f64 x.im) x.re) x.im))
(.f64 (.f64 (neg.f64 x.im) x.re) x.im)
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (/.f64 (.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) x.re) (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 (neg.f64 x.re) x.re))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) x.re) (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 (neg.f64 x.re) x.re)))
(.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) x.re)
(-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64)))
(.f64 (.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) x.im)
(*.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64)))

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

eval224.0ms (3.1%)

Memory: -3.4MiB live, 108.9MiB allocated
Compiler: Compiled 22 293 to 1 940 computations (91.3% saved)

prune99.0ms (1.4%)

Memory

-5.8MiB live, 42.2MiB allocated

Pruning

14 alts after pruning (6 fresh and 8 done)

	Pruned	Kept	Total
New	592	4	596
Fresh	1	2	3
Picked	1	4	5
Done	0	4	4
Total	594	14	608

Accuracy

100.0%

Counts

608 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.5%	(fma.f64 (.f64 (/.f64 (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64)) x.re) (/.f64 #s(literal 2 binary64) x.im)) (neg.f64 (/.f64 x.im (.f64 x.im x.re))) #s(approx ( (- (* x.re x.re) (* x.im x.im)) x.re) (.f64 (.f64 (neg.f64 x.im) x.re) x.im)))
	51.7%	(fma.f64 (.f64 #s(literal 2 binary64) x.im) x.im #s(approx ( (- (* x.re x.re) (* x.im x.im)) x.re) (pow.f64 x.re #s(literal 3 binary64))))
✓	54.6%	(fma.f64 x.im (+.f64 x.re x.re) #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow.f64 x.re #s(literal 3 binary64))))
	40.2%	(fma.f64 x.im #s(literal 2 binary64) #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow.f64 x.re #s(literal 3 binary64))))
✓	16.2%	(-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (.f64 (.f64 (neg.f64 x.im) x.re) x.im)) (/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64))) x.im) (.f64 (.f64 x.im x.re) (.f64 x.im x.re))))
	40.0%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (/.f64 (.f64 (fma.f64 (.f64 x.im x.im) (.f64 (.f64 x.im x.im) #s(literal 9 binary64)) (.f64 (neg.f64 (.f64 (neg.f64 x.re) x.re)) (.f64 (neg.f64 x.re) x.re))) x.re) (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (*.f64 (neg.f64 x.re) x.re))))
	40.4%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 (neg.f64 x.re) x.re)) (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 x.re x.re))) x.re) (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 (neg.f64 x.re) x.re))))
✓	53.2%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.im x.im) (*.f64 x.re #s(literal -3 binary64))))
✓	59.0%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re))
✓	59.3%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.im (.f64 (*.f64 x.im x.re) #s(literal -3 binary64))))
✓	59.3%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.im (.f64 (*.f64 #s(literal -3 binary64) x.im) x.re)))
✓	59.3%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.re) x.im)))
✓	53.2%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.im) x.re)))
	34.0%	#s(approx (+ (* x.im (+ x.re x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.re)) (.f64 (.f64 (-.f64 #s(literal 2 binary64) x.im) x.re) x.im))

Compiler

Compiled 1 165 to 372 computations (68.1% saved)

regimes89.0ms (1.2%)

Memory

2.1MiB live, 40.3MiB allocated

Counts

26 → 2

Calls

Call 1

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

Outputs

#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re))

#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.re) x.im)))

Calls

3 calls:

73.0ms	x.im
7.0ms	x.re
7.0ms	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))

Results

Accuracy	Segments	Branch
95.6%	3	`x.re`
97.1%	2	`x.im`
95.9%	2	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes10.0ms (0.1%)

Memory

-22.5MiB live, 12.9MiB allocated

Counts

8 → 2

Calls

Call 1

Inputs
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re))
#s(approx (+ (* x.im (+ x.re x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.re)) (.f64 (.f64 (-.f64 #s(literal 2 binary64) x.im) x.re) x.im))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.im) x.re)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.re) x.im)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.im (.f64 (*.f64 #s(literal -3 binary64) x.im) x.re)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.im (.f64 (*.f64 x.im x.re) #s(literal -3 binary64))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 #s(literal -3 binary64) x.im) (*.f64 x.im x.re)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.im x.im) (*.f64 x.re #s(literal -3 binary64))))

Outputs

#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.re) x.im)))

#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re))

Calls

2 calls:

7.0ms	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
3.0ms	x.im

Results

Accuracy	Segments	Branch
95.9%	2	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`
84.2%	2	`x.im`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes4.0ms (0.1%)

Memory

7.9MiB live, 7.9MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re))

#s(approx (+ (* x.im (+ x.re x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.re)) (*.f64 (*.f64 (-.f64 #s(literal 2 binary64) x.im) x.re) x.im))

#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)))

Outputs

#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)))

#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re))

Calls

2 calls:

2.0ms	x.re
2.0ms	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))

Results

Accuracy	Segments	Branch
78.7%	2	`x.re`
89.7%	2	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes5.0ms (0.1%)

Memory

8.8MiB live, 8.8MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs

#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re))

#s(approx (+ (* x.im (+ x.re x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.re)) (*.f64 (*.f64 (-.f64 #s(literal 2 binary64) x.im) x.re) x.im))

Outputs

#s(approx (+ (* x.im (+ x.re x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.re)) (*.f64 (*.f64 (-.f64 #s(literal 2 binary64) x.im) x.re) x.im))

#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re))

Calls

3 calls:

2.0ms	x.re
1.0ms	x.im
1.0ms	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))

Results

Accuracy	Segments	Branch
60.8%	2	`x.re`
72.5%	2	`x.im`
72.9%	2	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes4.0ms (0.1%)

Memory

9.7MiB live, 9.7MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re))

Outputs
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
59.0%	1	`x.re`
59.0%	1	`x.im`
59.0%	1	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`

Compiler

Compiled 21 to 15 computations (28.6% saved)

bsearch43.0ms (0.6%)

Memory

-16.1MiB live, 22.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
41.0ms	1.2490056795297847e+149	1.9901758599239924e+152

Samples

36.0ms

128×

valid

Compiler

Compiled 478 to 296 computations (38.1% saved)

Precisions

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

ival-mult: 4.0ms (70.6% of total)

ival-sub: 1.0ms (17.7% of total)

ival-add: 1.0ms (17.7% of total)

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

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

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.665396e-318	-0.0

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.665396e-318	-0.0

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-4.58036981461569e-239	-1.1119500331870475e-257

Compiler

Compiled 22 to 16 computations (27.3% saved)

simplify58.0ms (0.8%)

Memory

-18.0MiB live, 31.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	344
1	76	344
2	96	344
3	112	344
4	120	344
5	123	344
6	124	344

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x.im #s(literal 195000000000000005530134988394275899665636953307969977661704486743354790468717363233529085825986647041662798352389781960632721784479407422471678600413184 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (.f64 x.re x.re)) x.re)) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.re) x.im))))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal -101201/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(literal -3 binary64) (.f64 (.f64 x.im x.re) x.im))) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re)))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal -101201/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(literal -3 binary64) (.f64 (.f64 x.im x.im) x.re))) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re)))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal -2346099009001469/58652475225036720546649669496166069228998121824605496380296088990333059082962747718339142176408838912879328274880511426712364770830486275482511413333124259062810366582741426385442408983508948533749841936858614266830705773786598571244254795994059356766208 binary64)) #s(approx (+ (* x.im (+ x.re x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.re)) (.f64 (.f64 (-.f64 #s(literal 2 binary64) x.im) x.re) x.im)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re))

Outputs
(if (<=.f64 x.im #s(literal 195000000000000005530134988394275899665636953307969977661704486743354790468717363233529085825986647041662798352389781960632721784479407422471678600413184 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (.f64 x.re x.re)) x.re)) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.re) x.im))))
(if (<=.f64 x.im #s(literal 195000000000000005530134988394275899665636953307969977661704486743354790468717363233529085825986647041662798352389781960632721784479407422471678600413184 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (.f64 x.re x.re)) x.re)) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 x.re x.im) x.im) #s(literal -3 binary64))))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal -101201/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(literal -3 binary64) (.f64 (.f64 x.im x.re) x.im))) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re)))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.re x.im)) x.im)) #s(literal -101201/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (.f64 x.re x.im) x.im) #s(literal -3 binary64))) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re)))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal -101201/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(literal -3 binary64) (.f64 (.f64 x.im x.im) x.re))) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re)))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.re x.im)) x.im)) #s(literal -101201/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (.f64 x.im x.im) x.re) #s(literal -3 binary64))) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re)))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal -2346099009001469/58652475225036720546649669496166069228998121824605496380296088990333059082962747718339142176408838912879328274880511426712364770830486275482511413333124259062810366582741426385442408983508948533749841936858614266830705773786598571244254795994059356766208 binary64)) #s(approx (+ (* x.im (+ x.re x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.re)) (.f64 (.f64 (-.f64 #s(literal 2 binary64) x.im) x.re) x.im)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re)))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.re x.im)) x.im)) #s(literal -2346099009001469/58652475225036720546649669496166069228998121824605496380296088990333059082962747718339142176408838912879328274880511426712364770830486275482511413333124259062810366582741426385442408983508948533749841936858614266830705773786598571244254795994059356766208 binary64)) #s(approx (+ (* x.im (+ x.re x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.re)) (.f64 (.f64 (-.f64 #s(literal 2 binary64) x.im) x.re) x.im)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re))

soundness1.0s (14.4%)

Memory

22.4MiB live, 496.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	141	554
1	419	505
2	1138	486
3	3651	481
0	8514	460
0	37	243
0	55	243
1	190	215
0	1194	210
0	56	190
1	169	170
2	519	170
3	2113	170
4	5800	170
0	8265	165
0	46	280
0	70	256
1	268	222
0	1867	214
0	75	312
1	226	272
2	657	272
3	2638	272
4	7102	272
0	8448	259

Stop Event

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

Compiler

Compiled 554 to 192 computations (65.3% saved)

preprocess270.0ms (3.7%)

Memory: -1.9MiB live, 75.9MiB allocated
Remove: (negabs x.re)
Compiler: Compiled 1 126 to 294 computations (73.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.4s (19.9%)

explain285.0ms (4%)

preprocess343.0ms (4.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify330.0ms (4.6%)

localize49.0ms (0.7%)

series15.0ms (0.2%)

simplify158.0ms (2.2%)

rewrite113.0ms (1.6%)

eval10.0ms (0.1%)

prune5.0ms (0.1%)

simplify206.0ms (2.9%)

localize104.0ms (1.4%)

series16.0ms (0.2%)

simplify150.0ms (2.1%)

rewrite92.0ms (1.3%)

eval44.0ms (0.6%)

prune42.0ms (0.6%)

simplify156.0ms (2.2%)

localize143.0ms (2%)

series24.0ms (0.3%)

simplify158.0ms (2.2%)

rewrite134.0ms (1.9%)

eval136.0ms (1.9%)

prune19.0ms (0.3%)

simplify226.0ms (3.1%)

localize138.0ms (1.9%)

series72.0ms (1%)

simplify293.0ms (4.1%)

rewrite461.0ms (6.4%)

eval224.0ms (3.1%)

prune99.0ms (1.4%)

regimes89.0ms (1.2%)

regimes10.0ms (0.1%)

regimes4.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch43.0ms (0.6%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify58.0ms (0.8%)

soundness1.0s (14.4%)

preprocess270.0ms (3.7%)

end0.0ms (0%)

Profiling