Metrics for math.cube on complex, real part

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.8MiB live, 0.8MiB 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)

sample1.9s (23.3%)

Memory

-75.5MiB live, 1 885.8MiB allocated

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 755.0ms

ival-mult: 553.0ms (73.2% of total)

ival-sub: 106.0ms (14% of total)

ival-add: 86.0ms (11.4% of total)

ival-true: 7.0ms (0.9% of total)

ival-assert: 4.0ms (0.5% of total)

Bogosity

explain189.0ms (2.3%)

Memory

19.1MiB live, 347.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
17	-	-	`(-.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))`
16	-	-	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`
10	-	-	`(.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	17	0
↳	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)`	overflow	119
↳	`(*.f64 x.re x.re)`	overflow	60
↳	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	overflow	107
↳	`(*.f64 x.im x.im)`	overflow	63
↳	`(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)`	overflow	69
↳	`(*.f64 x.im x.re)`	overflow	35
↳	`(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))`	overflow	35
↳	`(*.f64 x.re x.im)`	overflow	35
`-.f64`	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	nan-rescue	16	0
↳	`(*.f64 x.re x.re)`	overflow	60
↳	`(*.f64 x.im x.im)`	overflow	63
`*.f64`	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)`	*no**	10	0

Confusion

	Predicted +	Predicted -
+	38	0
-	0	218

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	38	0	0
-	0	0	218

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	218
1	33
2	5

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

65.0ms

512×

valid

Compiler

Compiled 153 to 37 computations (75.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-mult: 24.0ms (75.4% of total)

ival-sub: 5.0ms (15.7% of total)

ival-add: 2.0ms (6.3% of total)

ival-true: 1.0ms (3.1% of total)

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

preprocess272.0ms (3.3%)

Memory

-17.7MiB live, 305.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	31	103
1	105	87
2	385	85
3	1115	56
4	3886	55
0	11	19
0	20	19
1	43	17
2	140	17
3	482	14
4	1368	11
5	4473	11
0	8270	11

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 (*.f64 #s(literal 3 binary64) (*.f64 (neg.f64 x.re) x.im)) 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: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	85.2%	(-.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 19 to 11 computations (42.1% saved)

simplify176.0ms (2.1%)

Memory

7.5MiB live, 247.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
cost-diff	0	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
cost-diff	2	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
cost-diff	6	(-.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))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	11	65
0	20	65
1	43	59
2	140	59
3	482	56
4	1368	53
5	4473	53
0	8270	53

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 (.f64 #s(literal 3 binary64) (.f64 (neg.f64 x.re) x.im)) 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.im x.re) x.re) (-.f64 x.re x.im))
(-.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)

localize73.0ms (0.9%)

Memory

6.3MiB live, 114.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.1015625	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
accuracy	2.455118303676127	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
accuracy	3.4414062500000004	(-.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))
accuracy	3.746071044132264	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))

Samples

65.0ms

256×

valid

Compiler

Compiled 67 to 13 computations (80.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 10.0ms (74.5% of total)

ival-sub: 2.0ms (14.9% of total)

ival-add: 1.0ms (7.5% of total)

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

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

series15.0ms (0.2%)

Memory

-10.5MiB live, 32.5MiB allocated

Counts

5 → 22

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 x.re x.im) (.f64 x.im x.re))
(.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 (+.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))))
(* 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))
(* 2 (* (pow x.im 2) x.re))
(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 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) (- (/ (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))
(+ (* -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) (+ (* -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
6.0ms	x.re	@	-inf	((- (* (- (* 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.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
2.0ms	x.re	@	0	((- (* (- (* 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.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
2.0ms	x.re	@	inf	((- (* (- (* 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.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
2.0ms	x.im	@	0	((- (* (- (* 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.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
1.0ms	x.im	@	inf	((- (* (- (* 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.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))

simplify193.0ms (2.3%)

Memory

20.7MiB live, 245.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	237
1	172	217
2	610	208
3	3532	208
0	8354	202

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 22

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

rewrite109.0ms (1.3%)

Memory

-22.7MiB live, 84.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	51
0	20	51
1	88	39
0	679	38

Stop Event

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

Counts

5 → 115

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

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

eval14.0ms (0.2%)

Memory: 31.2MiB live, 31.2MiB allocated
Compiler: Compiled 3 247 to 479 computations (85.2% saved)

prune12.0ms (0.1%)

Memory

-26.8MiB live, 18.1MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	125	8	133
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	126	8	134

Accuracy

100.0%

Counts

134 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	38.6%	(-.f64 (.f64 (/.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))) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
	85.2%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
▶	93.1%	(-.f64 (.f64 (.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
▶	53.1%	(-.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))
	56.7%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64)))
	89.9%	#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))
▶	75.6%	#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 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64))) (*.f64 x.im x.im)))
▶	56.7%	#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)))

Compiler

Compiled 400 to 232 computations (42% saved)

simplify198.0ms (2.4%)

Memory

8.2MiB live, 355.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	371
0	73	371
1	137	349
2	343	349
3	1101	336
4	4621	336
0	8170	333

Stop Event

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

Calls

Call 1

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

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

localize148.0ms (1.8%)

Memory

-13.1MiB live, 272.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	2.455118303676127	(.f64 (/.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))) x.re)
accuracy	3.4414062500000004	(-.f64 (.f64 (/.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))) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
accuracy	8.988231709924943	(-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))
accuracy	43.555199938787496	(/.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)))
accuracy	0.1328125	(/.f64 (/.f64 x.re x.im) x.im)
accuracy	0.856863310125441	(*.f64 x.re (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64)))
accuracy	1.921853680050099	(fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64))
accuracy	12.737104542910682	(.f64 (.f64 x.re (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64))) (*.f64 x.im x.im))
accuracy	0.1015625	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
accuracy	2.455118303676127	(.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re)
accuracy	3.4414062500000004	(-.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	29.058253387557862	#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im))
accuracy	0.0	(*.f64 x.im x.re)
accuracy	0.09765625	(.f64 (.f64 x.im x.re) x.im)
accuracy	0.109375	(.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.re) x.im))
accuracy	27.643487987858265	#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)))
accuracy	0.015625	(*.f64 x.re (+.f64 x.im x.re))
accuracy	0.1015625	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
accuracy	0.11328125	(.f64 (.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im))
accuracy	3.4414062500000004	(-.f64 (.f64 (.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))

Samples

83.0ms	230×	0	valid
9.0ms	11×	3	valid
7.0ms	5×	4	valid
5.0ms	5×	1	valid
3.0ms	5×	2	valid

Compiler

Compiled 342 to 37 computations (89.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-mult: 24.0ms (42.8% of total)

ival-add: 8.0ms (14.3% of total)

ival-sub: 7.0ms (12.5% of total)

adjust: 5.0ms (8.9% of total)

ival-div: 5.0ms (8.9% of total)

ival-pow: 5.0ms (8.9% of total)

ival-neg: 1.0ms (1.8% of total)

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

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

exact: 0.0ms (0% of total)

series51.0ms (0.6%)

Memory

12.8MiB live, 62.8MiB allocated

Counts

21 → 77

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
22.0ms	x.im	@	0	((- (* (* x.re (+ x.im x.re)) (- x.re x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* x.re x.im) (* x.im x.re)) (* (* x.re (+ x.im x.re)) (- x.re x.im)) (* x.re (+ x.im x.re)) (- (* (- (* 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.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) -3)) (* x.im x.im)) (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (+ (* (/ (/ x.re x.im) x.im) x.re) -3) (- (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) x.re) (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im) (/ (/ x.re x.im) x.im) (- (pow x.re 4) (pow x.im 4)))
8.0ms	x.re	@	-inf	((- (* (* x.re (+ x.im x.re)) (- x.re x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* x.re x.im) (* x.im x.re)) (* (* x.re (+ x.im x.re)) (- x.re x.im)) (* x.re (+ x.im x.re)) (- (* (- (* 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.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) -3)) (* x.im x.im)) (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (+ (* (/ (/ x.re x.im) x.im) x.re) -3) (- (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) x.re) (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im) (/ (/ x.re x.im) x.im) (- (pow x.re 4) (pow x.im 4)))
6.0ms	x.re	@	inf	((- (* (* x.re (+ x.im x.re)) (- x.re x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* x.re x.im) (* x.im x.re)) (* (* x.re (+ x.im x.re)) (- x.re x.im)) (* x.re (+ x.im x.re)) (- (* (- (* 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.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) -3)) (* x.im x.im)) (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (+ (* (/ (/ x.re x.im) x.im) x.re) -3) (- (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) x.re) (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im) (/ (/ x.re x.im) x.im) (- (pow x.re 4) (pow x.im 4)))
5.0ms	x.re	@	0	((- (* (* x.re (+ x.im x.re)) (- x.re x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* x.re x.im) (* x.im x.re)) (* (* x.re (+ x.im x.re)) (- x.re x.im)) (* x.re (+ x.im x.re)) (- (* (- (* 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.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) -3)) (* x.im x.im)) (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (+ (* (/ (/ x.re x.im) x.im) x.re) -3) (- (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) x.re) (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im) (/ (/ x.re x.im) x.im) (- (pow x.re 4) (pow x.im 4)))
4.0ms	x.im	@	inf	((- (* (* x.re (+ x.im x.re)) (- x.re x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* x.re x.im) (* x.im x.re)) (* (* x.re (+ x.im x.re)) (- x.re x.im)) (* x.re (+ x.im x.re)) (- (* (- (* 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.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) -3)) (* x.im x.im)) (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (+ (* (/ (/ x.re x.im) x.im) x.re) -3) (- (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) x.re) (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im) (/ (/ x.re x.im) x.im) (- (pow x.re 4) (pow x.im 4)))

simplify211.0ms (2.6%)

Memory

1.9MiB live, 231.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	209	1018
1	697	796
2	2720	723
0	8477	701

Stop Event

1×	iter limit
1×	node limit

Counts

77 → 77

Calls

Call 1

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

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

rewrite267.0ms (3.2%)

Memory

13.6MiB live, 401.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	275
0	73	254
1	286	226
2	1764	222
0	8880	217

Stop Event

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

Counts

21 → 788

Calls

Call 1

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

Outputs
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.re)) #s(literal 2 binary64)) (fma.f64 (.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.re) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) #s(literal 2 binary64)) (fma.f64 (.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.re) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.re)) #s(literal 2 binary64)) (fma.f64 (.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.re) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im))) (/.f64 (pow.f64 (.f64 (.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.re)) #s(literal 2 binary64)) (fma.f64 (.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.re) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im))) (fma.f64 (/.f64 (pow.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) #s(literal 2 binary64)) (fma.f64 (.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.re) (.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 (-.f64 x.re x.im) x.re) (+.f64 x.im x.re) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im))) (.f64 (/.f64 (pow.f64 (.f64 (.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.re)) #s(literal 2 binary64)) (fma.f64 (.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.re) (.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 (-.f64 x.re x.im) x.re) (+.f64 x.im x.re) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im)))))))
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(.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x.re #s(literal 8 binary64)) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x.im #s(literal 8 binary64)) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x.re #s(literal 8 binary64)) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) (/.f64 (pow.f64 x.re #s(literal 8 binary64)) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) (fma.f64 (/.f64 (pow.f64 x.im #s(literal 8 binary64)) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) (/.f64 (pow.f64 x.im #s(literal 8 binary64)) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 (/.f64 (pow.f64 x.re #s(literal 8 binary64)) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) (/.f64 (pow.f64 x.im #s(literal 8 binary64)) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x.re #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 x.im x.re) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x.im #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 x.im x.re) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x.re #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 x.im x.re) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64)))) (/.f64 (pow.f64 x.re #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 x.im x.re) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64)))) (fma.f64 (/.f64 (pow.f64 x.im #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 x.im x.re) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64)))) (/.f64 (pow.f64 x.im #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 x.im x.re) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64)))) (.f64 (/.f64 (pow.f64 x.re #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 x.im x.re) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64)))) (/.f64 (pow.f64 x.im #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64))))))))
(/.f64 (+.f64 (pow.f64 x.re #s(literal 12 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 x.im) x.im) (.f64 x.im x.im)) #s(literal 3 binary64))) (+.f64 (pow.f64 x.re #s(literal 8 binary64)) (-.f64 (.f64 (.f64 (.f64 (neg.f64 x.im) x.im) (.f64 x.im x.im)) (.f64 (.f64 (neg.f64 x.im) x.im) (.f64 x.im x.im))) (.f64 (pow.f64 x.re #s(literal 4 binary64)) (.f64 (.f64 (neg.f64 x.im) x.im) (.f64 x.im x.im))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 8 binary64)) (pow.f64 x.im #s(literal 8 binary64))))) (neg.f64 (neg.f64 (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 12 binary64)) (pow.f64 x.im #s(literal 12 binary64))))) (neg.f64 (neg.f64 (+.f64 (+.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 x.re #s(literal 8 binary64)) (+.f64 (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)) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 8 binary64)))) (*.f64 (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64))) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))))
(/.f64 (-.f64 (.f64 (pow.f64 x.re #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 x.im x.re) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64)))) (.f64 (+.f64 (+.f64 (pow.f64 (.f64 x.im x.re) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64))) (pow.f64 x.im #s(literal 12 binary64)))) (.f64 (+.f64 (+.f64 (pow.f64 (.f64 x.im x.re) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 8 binary64)) (pow.f64 x.im #s(literal 8 binary64)))) (neg.f64 (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 12 binary64)) (pow.f64 x.im #s(literal 12 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64)))))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 8 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 12 binary64)) (pow.f64 x.im #s(literal 12 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64))))
(fma.f64 (.f64 (neg.f64 x.re) x.re) (.f64 (neg.f64 x.re) x.re) (.f64 (.f64 (neg.f64 x.im) x.im) (*.f64 x.im x.im)))
(fma.f64 (pow.f64 x.re #s(literal 3 binary64)) (neg.f64 x.re) (.f64 (.f64 (neg.f64 x.im) x.im) (*.f64 x.im x.im)))
(fma.f64 (pow.f64 x.re #s(literal 3 binary64)) x.re (.f64 (.f64 (neg.f64 x.im) x.im) (*.f64 x.im x.im)))
(fma.f64 (neg.f64 x.re) (pow.f64 x.re #s(literal 3 binary64)) (.f64 (.f64 (neg.f64 x.im) x.im) (*.f64 x.im x.im)))
(fma.f64 (.f64 x.re x.re) (.f64 x.re x.re) (.f64 (.f64 (neg.f64 x.im) x.im) (*.f64 x.im x.im)))
(fma.f64 x.re (pow.f64 x.re #s(literal 3 binary64)) (.f64 (.f64 (neg.f64 x.im) x.im) (*.f64 x.im x.im)))
(-.f64 (/.f64 (pow.f64 x.re #s(literal 8 binary64)) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) (/.f64 (pow.f64 x.im #s(literal 8 binary64)) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))))
(-.f64 (/.f64 (pow.f64 x.re #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 x.im x.re) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64)))) (/.f64 (pow.f64 x.im #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 x.im x.re) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64)))))
(-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))
(+.f64 (/.f64 (pow.f64 x.re #s(literal 8 binary64)) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) (/.f64 (*.f64 (neg.f64 (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64))) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))))
(+.f64 (pow.f64 x.re #s(literal 4 binary64)) (.f64 (.f64 (neg.f64 x.im) x.im) (*.f64 x.im x.im)))

eval164.0ms (2%)

Memory: -23.0MiB live, 203.0MiB allocated
Compiler: Compiled 30 562 to 2 492 computations (91.8% saved)

prune52.0ms (0.6%)

Memory

20.8MiB live, 67.2MiB allocated

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	770	10	780
Fresh	1	2	3
Picked	4	1	5
Done	0	0	0
Total	775	13	788

Accuracy

100.0%

Counts

788 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	85.2%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
	56.2%	(-.f64 (.f64 (.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (fma.f64 (neg.f64 x.im) x.re (.f64 (neg.f64 x.im) x.re)) x.im))
▶	93.1%	(-.f64 (.f64 (.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.im))
	90.2%	(-.f64 (.f64 #s(approx ( x.re (+ x.im x.re)) (.f64 (fma.f64 x.re (/.f64 x.re x.im) x.re) x.im)) (-.f64 x.re x.im)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
▶	89.9%	#s(approx (- (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) 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))
	56.7%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64)))
	56.7%	#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.re) x.im) x.im))
▶	68.5%	#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 x.re (.f64 x.im x.im)) x.re #s(literal -3 binary64))) (.f64 x.im x.im)))
	37.9%	#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 #s(approx (+ (* (/ (/ x.re x.im) x.im) x.re) -3) (.f64 (/.f64 x.re x.im) (/.f64 x.re x.im)))) (.f64 x.im x.im)))
▶	53.1%	#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 #s(approx (+ (* (/ (/ x.re x.im) x.im) x.re) -3) #s(literal -3 binary64))) (*.f64 x.im x.im)))
	56.7%	#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.re) (*.f64 x.im #s(literal -3 binary64))))
✓	56.7%	#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)))
▶	53.1%	#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 703 to 402 computations (42.8% saved)

simplify198.0ms (2.4%)

Memory

-4.3MiB live, 187.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (/.f64 x.re (*.f64 x.im x.im)) x.re #s(literal -3 binary64))
cost-diff	0	(.f64 x.re (fma.f64 (/.f64 x.re (.f64 x.im x.im)) x.re #s(literal -3 binary64)))
cost-diff	0	(.f64 (.f64 x.re (fma.f64 (/.f64 x.re (.f64 x.im x.im)) x.re #s(literal -3 binary64))) (.f64 x.im 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 (.f64 x.re (fma.f64 (/.f64 x.re (.f64 x.im x.im)) x.re #s(literal -3 binary64))) (.f64 x.im x.im)))
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 (- (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) 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))
cost-diff	0	#s(approx (+ (* (/ (/ x.re x.im) x.im) x.re) -3) #s(literal -3 binary64))
cost-diff	0	(.f64 x.re #s(approx (+ ( (/ (/ x.re x.im) x.im) x.re) -3) #s(literal -3 binary64)))
cost-diff	0	(.f64 (.f64 x.re #s(approx (+ (* (/ (/ x.re x.im) x.im) x.re) -3) #s(literal -3 binary64))) (*.f64 x.im 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 (.f64 x.re #s(approx (+ (* (/ (/ x.re x.im) x.im) x.re) -3) #s(literal -3 binary64))) (*.f64 x.im x.im)))
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.re)
cost-diff	0	(*.f64 x.re (+.f64 x.im x.re))
cost-diff	0	(.f64 (.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im))
cost-diff	7	(-.f64 (.f64 (.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.im))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	325
0	72	320
1	158	308
2	461	308
3	1608	283
4	5204	283
0	8488	281

Stop Event

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

Calls

Call 1

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

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

localize232.0ms (2.8%)

Memory

-38.1MiB live, 179.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.856863310125441	(.f64 x.re (fma.f64 (/.f64 x.re (.f64 x.im x.im)) x.re #s(literal -3 binary64)))
accuracy	1.921853680050099	(fma.f64 (/.f64 x.re (*.f64 x.im x.im)) x.re #s(literal -3 binary64))
accuracy	7.539680149095407	(/.f64 x.re (*.f64 x.im x.im))
accuracy	12.737104542910682	(.f64 (.f64 x.re (fma.f64 (/.f64 x.re (.f64 x.im x.im)) x.re #s(literal -3 binary64))) (.f64 x.im x.im))
accuracy	0.0	(*.f64 x.im x.im)
accuracy	0.0	#s(approx (- (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) 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	2.462090112931527	(.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (*.f64 x.re x.re)) x.re)
accuracy	3.8046647941322638	(fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (.f64 x.re x.re))
accuracy	0.0	#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.re #s(approx (+ (* (/ (/ x.re x.im) x.im) x.re) -3) #s(literal -3 binary64))) (*.f64 x.im x.im)))
accuracy	0.856863310125441	(.f64 x.re #s(approx (+ ( (/ (/ x.re x.im) x.im) x.re) -3) #s(literal -3 binary64)))
accuracy	12.737104542910682	(.f64 (.f64 x.re #s(approx (+ (* (/ (/ x.re x.im) x.im) x.re) -3) #s(literal -3 binary64))) (*.f64 x.im x.im))
accuracy	31.307484872442807	#s(approx (+ (* (/ (/ x.re x.im) x.im) x.re) -3) #s(literal -3 binary64))
accuracy	0.0	(*.f64 x.im x.im)
accuracy	0.109375	(.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.im) x.re))
accuracy	6.596806672562557	(.f64 (.f64 x.im x.im) x.re)
accuracy	27.643487987858265	#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	0.015625	(*.f64 x.re (+.f64 x.im x.re))
accuracy	0.1015625	(.f64 (.f64 x.re (+.f64 x.im x.im)) x.im)
accuracy	0.11328125	(.f64 (.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im))
accuracy	3.4414062500000004	(-.f64 (.f64 (.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.im))

Samples

146.0ms	230×	0	valid
29.0ms	5×	4	valid
10.0ms	11×	3	valid
4.0ms	5×	2	valid
3.0ms	5×	1	valid

Compiler

Compiled 274 to 46 computations (83.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 170.0ms

ival-pow: 68.0ms (39.9% of total)

ival-mult: 32.0ms (18.8% of total)

ival-div: 30.0ms (17.6% of total)

ival-sub: 25.0ms (14.7% of total)

ival-add: 9.0ms (5.3% of total)

adjust: 6.0ms (3.5% of total)

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

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

exact: 0.0ms (0% of total)

series19.0ms (0.2%)

Memory

30.5MiB live, 30.5MiB allocated

Counts

21 → 72

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	x.re	@	-inf	((- (* (* x.re (+ x.im x.re)) (- x.re x.im)) (* (* x.re (+ x.im x.im)) x.im)) (* (* x.re (+ x.im x.re)) (- x.re x.im)) (* x.re (+ x.im x.re)) (+ x.im x.re) (- (* (- (* 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.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) -3)) (* x.im x.im)) (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (+ (* (/ (/ x.re x.im) x.im) x.re) -3) (- (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) 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.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) -3)) (* x.im x.im)) (* x.re (+ (* (/ x.re (* x.im x.im)) x.re) -3)) (+ (* (/ x.re (* x.im x.im)) x.re) -3) (* (* x.re (+ x.im x.im)) x.im) (/ x.re (* x.im x.im)))
3.0ms	x.re	@	inf	((- (* (* x.re (+ x.im x.re)) (- x.re x.im)) (* (* x.re (+ x.im x.im)) x.im)) (* (* x.re (+ x.im x.re)) (- x.re x.im)) (* x.re (+ x.im x.re)) (+ x.im x.re) (- (* (- (* 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.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) -3)) (* x.im x.im)) (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (+ (* (/ (/ x.re x.im) x.im) x.re) -3) (- (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) 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.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) -3)) (* x.im x.im)) (* x.re (+ (* (/ x.re (* x.im x.im)) x.re) -3)) (+ (* (/ x.re (* x.im x.im)) x.re) -3) (* (* x.re (+ x.im x.im)) x.im) (/ x.re (* x.im x.im)))
3.0ms	x.re	@	0	((- (* (* x.re (+ x.im x.re)) (- x.re x.im)) (* (* x.re (+ x.im x.im)) x.im)) (* (* x.re (+ x.im x.re)) (- x.re x.im)) (* x.re (+ x.im x.re)) (+ x.im x.re) (- (* (- (* 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.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) -3)) (* x.im x.im)) (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (+ (* (/ (/ x.re x.im) x.im) x.re) -3) (- (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) 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.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) -3)) (* x.im x.im)) (* x.re (+ (* (/ x.re (* x.im x.im)) x.re) -3)) (+ (* (/ x.re (* x.im x.im)) x.re) -3) (* (* x.re (+ x.im x.im)) x.im) (/ x.re (* x.im x.im)))
3.0ms	x.im	@	inf	((- (* (* x.re (+ x.im x.re)) (- x.re x.im)) (* (* x.re (+ x.im x.im)) x.im)) (* (* x.re (+ x.im x.re)) (- x.re x.im)) (* x.re (+ x.im x.re)) (+ x.im x.re) (- (* (- (* 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.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) -3)) (* x.im x.im)) (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (+ (* (/ (/ x.re x.im) x.im) x.re) -3) (- (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) 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.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) -3)) (* x.im x.im)) (* x.re (+ (* (/ x.re (* x.im x.im)) x.re) -3)) (+ (* (/ x.re (* x.im x.im)) x.re) -3) (* (* x.re (+ x.im x.im)) x.im) (/ x.re (* x.im x.im)))
3.0ms	x.im	@	-inf	((- (* (* x.re (+ x.im x.re)) (- x.re x.im)) (* (* x.re (+ x.im x.im)) x.im)) (* (* x.re (+ x.im x.re)) (- x.re x.im)) (* x.re (+ x.im x.re)) (+ x.im x.re) (- (* (- (* 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.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) -3)) (* x.im x.im)) (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (+ (* (/ (/ x.re x.im) x.im) x.re) -3) (- (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) 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.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) -3)) (* x.im x.im)) (* x.re (+ (* (/ x.re (* x.im x.im)) x.re) -3)) (+ (* (/ x.re (* x.im x.im)) x.re) -3) (* (* x.re (+ x.im x.im)) x.im) (/ x.re (* x.im x.im)))

simplify211.0ms (2.6%)

Memory

-6.2MiB live, 134.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	200	905
1	675	748
2	2574	653
0	8380	627

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 70

Calls

Call 1

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

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

rewrite307.0ms (3.7%)

Memory

-16.4MiB live, 127.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	288
0	72	268
1	336	244
2	2097	236
0	8401	231

Stop Event

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

Counts

21 → 960

Calls

Call 1

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

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

eval258.0ms (3.1%)

Memory: 1.7MiB live, 145.8MiB allocated
Compiler: Compiled 41 044 to 3 124 computations (92.4% saved)

prune90.0ms (1.1%)

Memory

21.1MiB live, 67.8MiB allocated

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	1 065	7	1 072
Fresh	5	2	7
Picked	2	3	5
Done	0	1	1
Total	1 072	13	1 085

Accuracy

100.0%

Counts

1 085 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	93.1%	(-.f64 (.f64 (.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.im))
▶	90.2%	(-.f64 (.f64 #s(approx ( x.re (+ x.im x.re)) (.f64 (fma.f64 x.re (/.f64 x.re x.im) x.re) x.im)) (-.f64 x.re x.im)) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
▶	91.8%	#s(approx (- (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re))
▶	94.2%	#s(approx (- (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 x.re x.re (.f64 (*.f64 x.im x.im) #s(literal -3 binary64))) x.re))
	56.7%	#s(approx (- (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (.f64 #s(approx (+ ( (/ (/ x.re x.im) x.im) x.re) -3) #s(literal -3 binary64)) x.re) x.im) x.im))
▶	53.1%	#s(approx (- (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) 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 (.f64 x.im x.im) #s(literal -3 binary64))) x.re))
	56.7%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64)))
	53.1%	#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(approx (+ ( (/ (/ x.re x.im) x.im) x.re) -3) #s(literal -3 binary64)) x.im) x.im) x.re))
✓	68.5%	#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 x.re (.f64 x.im x.im)) x.re #s(literal -3 binary64))) (.f64 x.im x.im)))
	37.9%	#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 #s(approx (+ (* (/ (/ x.re x.im) x.im) x.re) -3) (.f64 (/.f64 x.re x.im) (/.f64 x.re x.im)))) (.f64 x.im x.im)))
▶	56.6%	#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))))
✓	56.7%	#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)))
✓	53.1%	#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 749 to 430 computations (42.6% saved)

simplify246.0ms (3%)

Memory

21.6MiB live, 110.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (* x.re (+ x.im x.re)) (*.f64 (fma.f64 x.re (/.f64 x.re x.im) x.re) x.im))
cost-diff	0	(.f64 #s(approx ( x.re (+ x.im x.re)) (*.f64 (fma.f64 x.re (/.f64 x.re x.im) x.re) x.im)) (-.f64 x.re x.im))
cost-diff	1	(-.f64 (.f64 #s(approx ( x.re (+ x.im x.re)) (.f64 (fma.f64 x.re (/.f64 x.re x.im) x.re) x.im)) (-.f64 x.re x.im)) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
cost-diff	3	(*.f64 (fma.f64 x.re (/.f64 x.re x.im) x.re) x.im)
cost-diff	0	(*.f64 #s(literal -3 binary64) x.im)
cost-diff	0	(fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 x.re x.re))
cost-diff	0	(.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re)
cost-diff	0	#s(approx (- (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re))
cost-diff	0	(.f64 (.f64 x.im x.im) #s(literal -3 binary64))
cost-diff	0	#s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (.f64 (.f64 x.im x.im) #s(literal -3 binary64)))
cost-diff	0	(.f64 #s(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (.f64 (.f64 x.im x.im) #s(literal -3 binary64))) x.re)
cost-diff	0	#s(approx (- (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) 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 (.f64 x.im x.im) #s(literal -3 binary64))) x.re))
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 (.f64 x.im x.im) #s(literal -3 binary64))
cost-diff	0	(fma.f64 x.re x.re (.f64 (.f64 x.im x.im) #s(literal -3 binary64)))
cost-diff	0	(.f64 (fma.f64 x.re x.re (.f64 (*.f64 x.im x.im) #s(literal -3 binary64))) x.re)
cost-diff	0	#s(approx (- (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 x.re x.re (.f64 (*.f64 x.im x.im) #s(literal -3 binary64))) x.re))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	360
0	75	349
1	150	341
2	352	341
3	959	336
4	2609	324
5	6230	324
0	8431	317

Stop Event

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

Calls

Call 1

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

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

localize231.0ms (2.8%)

Memory

-19.1MiB live, 86.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.1015625	(.f64 (.f64 x.re (+.f64 x.im x.im)) x.im)
accuracy	0.11328125	(.f64 #s(approx ( x.re (+ x.im x.re)) (*.f64 (fma.f64 x.re (/.f64 x.re x.im) x.re) x.im)) (-.f64 x.re x.im))
accuracy	3.4414062500000004	(-.f64 (.f64 #s(approx ( x.re (+ x.im x.re)) (.f64 (fma.f64 x.re (/.f64 x.re x.im) x.re) x.im)) (-.f64 x.re x.im)) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
accuracy	3.8394535340237526	(*.f64 (fma.f64 x.re (/.f64 x.re x.im) x.re) x.im)
accuracy	0.0	(*.f64 #s(literal -3 binary64) x.im)
accuracy	0.0	#s(approx (- (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re))
accuracy	2.462090112931527	(.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re)
accuracy	2.808563473661162	(fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 x.re x.re))
accuracy	0.0	#s(approx (- (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) 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 (.f64 x.im x.im) #s(literal -3 binary64))) x.re))
accuracy	0.1171875	(.f64 (.f64 x.im x.im) #s(literal -3 binary64))
accuracy	2.462090112931527	(.f64 #s(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (.f64 (.f64 x.im x.im) #s(literal -3 binary64))) x.re)
accuracy	29.046812275385776	#s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (.f64 (.f64 x.im x.im) #s(literal -3 binary64)))
accuracy	0.0	(*.f64 x.im x.re)
accuracy	0.11328125	(.f64 x.im (.f64 (*.f64 x.im x.re) #s(literal -3 binary64)))
accuracy	0.19140625	(.f64 (.f64 x.im x.re) #s(literal -3 binary64))
accuracy	27.643487987858265	#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	0.0	#s(approx (- (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 x.re x.re (.f64 (*.f64 x.im x.im) #s(literal -3 binary64))) x.re))
accuracy	0.1171875	(.f64 (.f64 x.im x.im) #s(literal -3 binary64))
accuracy	1.249986238027801	(fma.f64 x.re x.re (.f64 (.f64 x.im x.im) #s(literal -3 binary64)))
accuracy	2.462090112931527	(.f64 (fma.f64 x.re x.re (.f64 (*.f64 x.im x.im) #s(literal -3 binary64))) x.re)

Samples

208.0ms

256×

valid

Compiler

Compiled 281 to 46 computations (83.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 190.0ms

ival-add: 64.0ms (33.7% of total)

ival-mult: 59.0ms (31% of total)

ival-pow: 56.0ms (29.4% of total)

ival-sub: 6.0ms (3.2% of total)

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

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

exact: 0.0ms (0% of total)

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

series20.0ms (0.2%)

Memory

12.0MiB live, 12.0MiB allocated

Counts

20 → 52

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	x.im	@	-inf	((- (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* x.re x.re) (* (* x.im x.im) -3)) x.re) (+ (* x.re x.re) (* (* x.im x.im) -3)) (* (* x.im x.im) -3) (- (* (- (* 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) (- (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) 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)) (- (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) 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)) (* -3 x.im) (* (+ (* x.re (/ x.re x.im)) x.re) x.im) (- (* (* x.re (+ x.im x.re)) (- x.re x.im)) (* (* x.re (+ x.im x.im)) x.im)) (* (* x.re (+ x.im x.re)) (- x.re x.im)) (* x.re (+ x.im x.re)) (* (* x.re (+ x.im x.im)) x.im))
3.0ms	x.re	@	-inf	((- (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* x.re x.re) (* (* x.im x.im) -3)) x.re) (+ (* x.re x.re) (* (* x.im x.im) -3)) (* (* x.im x.im) -3) (- (* (- (* 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) (- (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) 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)) (- (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) 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)) (* -3 x.im) (* (+ (* x.re (/ x.re x.im)) x.re) x.im) (- (* (* x.re (+ x.im x.re)) (- x.re x.im)) (* (* x.re (+ x.im x.im)) x.im)) (* (* x.re (+ x.im x.re)) (- x.re x.im)) (* x.re (+ x.im x.re)) (* (* x.re (+ x.im x.im)) x.im))
3.0ms	x.im	@	inf	((- (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* x.re x.re) (* (* x.im x.im) -3)) x.re) (+ (* x.re x.re) (* (* x.im x.im) -3)) (* (* x.im x.im) -3) (- (* (- (* 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) (- (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) 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)) (- (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) 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)) (* -3 x.im) (* (+ (* x.re (/ x.re x.im)) x.re) x.im) (- (* (* x.re (+ x.im x.re)) (- x.re x.im)) (* (* x.re (+ x.im x.im)) x.im)) (* (* x.re (+ x.im x.re)) (- x.re x.im)) (* x.re (+ x.im x.re)) (* (* x.re (+ x.im x.im)) x.im))
3.0ms	x.re	@	inf	((- (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* x.re x.re) (* (* x.im x.im) -3)) x.re) (+ (* x.re x.re) (* (* x.im x.im) -3)) (* (* x.im x.im) -3) (- (* (- (* 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) (- (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) 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)) (- (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) 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)) (* -3 x.im) (* (+ (* x.re (/ x.re x.im)) x.re) x.im) (- (* (* x.re (+ x.im x.re)) (- x.re x.im)) (* (* x.re (+ x.im x.im)) x.im)) (* (* x.re (+ x.im x.re)) (- x.re x.im)) (* x.re (+ x.im x.re)) (* (* x.re (+ x.im x.im)) x.im))
3.0ms	x.re	@	0	((- (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* x.re x.re) (* (* x.im x.im) -3)) x.re) (+ (* x.re x.re) (* (* x.im x.im) -3)) (* (* x.im x.im) -3) (- (* (- (* 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) (- (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) 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)) (- (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) 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)) (* -3 x.im) (* (+ (* x.re (/ x.re x.im)) x.re) x.im) (- (* (* x.re (+ x.im x.re)) (- x.re x.im)) (* (* x.re (+ x.im x.im)) x.im)) (* (* x.re (+ x.im x.re)) (- x.re x.im)) (* x.re (+ x.im x.re)) (* (* x.re (+ x.im x.im)) x.im))

simplify211.0ms (2.6%)

Memory

-14.0MiB live, 128.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	178	615
1	616	512
2	2392	494
0	8478	474

Stop Event

1×	iter limit
1×	node limit

Counts

52 → 52

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

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

rewrite293.0ms (3.5%)

Memory

-14.3MiB live, 222.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	312
0	75	277
1	333	253
2	2149	253
0	8330	248

Stop Event

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

Counts

20 → 629

Calls

Call 1

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

Outputs
#s(approx (- (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) 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)
(.f64 x.re (fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (*.f64 x.re x.re)))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64)))) x.re)) (neg.f64 (fma.f64 x.re x.re (.f64 #s(literal 3 binary64) (.f64 x.im x.im)))))
(/.f64 (neg.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)) (neg.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 (neg.f64 x.re) x.re))))
(/.f64 (neg.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)) (neg.f64 (+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (.f64 (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -3 binary64))) (pow.f64 x.re #s(literal 4 binary64)))))
(/.f64 (neg.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)) (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -3 binary64))))))
(/.f64 (neg.f64 (.f64 x.re (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64)))))) (neg.f64 (fma.f64 x.re x.re (.f64 #s(literal 3 binary64) (.f64 x.im x.im)))))
(/.f64 (neg.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))))) (neg.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 (neg.f64 x.re) x.re))))
(/.f64 (neg.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))))) (neg.f64 (+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (.f64 (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -3 binary64))) (pow.f64 x.re #s(literal 4 binary64)))))
(/.f64 (neg.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))))) (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -3 binary64))))))
(/.f64 (.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64)))) x.re) (fma.f64 x.re x.re (.f64 #s(literal 3 binary64) (.f64 x.im 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 (fma.f64 #s(literal -27 binary64) (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 binary64))) x.re) (+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (.f64 (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -3 binary64))) (pow.f64 x.re #s(literal 4 binary64))))
(/.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 (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -3 binary64)))))
(/.f64 (.f64 x.re (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))))) (fma.f64 x.re x.re (.f64 #s(literal 3 binary64) (.f64 x.im x.im))))
(/.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)))) (+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (.f64 (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -3 binary64))) (pow.f64 x.re #s(literal 4 binary64))))
(/.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 (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -3 binary64)))))
(fma.f64 (neg.f64 (pow.f64 x.re #s(literal 3/2 binary64))) (neg.f64 (pow.f64 x.re #s(literal 3/2 binary64))) (.f64 (.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re))
(fma.f64 (neg.f64 (pow.f64 x.re #s(literal 3/2 binary64))) (neg.f64 (pow.f64 x.re #s(literal 3/2 binary64))) (.f64 x.re (.f64 #s(literal -3 binary64) (*.f64 x.im x.im))))
(fma.f64 (fabs.f64 (pow.f64 x.re #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 x.re #s(literal 3/2 binary64))) (.f64 (.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re))
(fma.f64 (fabs.f64 (pow.f64 x.re #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 x.re #s(literal 3/2 binary64))) (.f64 x.re (.f64 #s(literal -3 binary64) (*.f64 x.im x.im))))
(fma.f64 (pow.f64 (neg.f64 (neg.f64 x.re)) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (neg.f64 x.re)) #s(literal 3/2 binary64)) (.f64 (.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re))
(fma.f64 (pow.f64 (neg.f64 (neg.f64 x.re)) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (neg.f64 x.re)) #s(literal 3/2 binary64)) (.f64 x.re (.f64 #s(literal -3 binary64) (*.f64 x.im x.im))))
(fma.f64 (pow.f64 (neg.f64 x.re) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 x.re) #s(literal 3/2 binary64)) (.f64 (.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re))
(fma.f64 (pow.f64 (neg.f64 x.re) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 x.re) #s(literal 3/2 binary64)) (.f64 x.re (.f64 #s(literal -3 binary64) (*.f64 x.im x.im))))
(fma.f64 (pow.f64 x.re #s(literal 3/2 binary64)) (pow.f64 x.re #s(literal 3/2 binary64)) (.f64 (.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re))
(fma.f64 (pow.f64 x.re #s(literal 3/2 binary64)) (pow.f64 x.re #s(literal 3/2 binary64)) (.f64 x.re (.f64 #s(literal -3 binary64) (*.f64 x.im x.im))))
(fma.f64 (neg.f64 x.re) (.f64 x.re x.re) (.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) x.re))
(fma.f64 (neg.f64 x.re) (.f64 x.re x.re) (.f64 x.re (.f64 #s(literal -3 binary64) (.f64 x.im x.im))))
(fma.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) x.re (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (.f64 x.re x.re) (neg.f64 x.re) (.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) x.re))
(fma.f64 (.f64 x.re x.re) (neg.f64 x.re) (.f64 x.re (.f64 #s(literal -3 binary64) (.f64 x.im x.im))))
(fma.f64 (.f64 x.re x.re) x.re (.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) x.re))
(fma.f64 (.f64 x.re x.re) x.re (.f64 x.re (.f64 #s(literal -3 binary64) (.f64 x.im x.im))))
(fma.f64 x.re (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 x.re (.f64 x.re x.re) (.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) x.re))
(fma.f64 x.re (.f64 x.re x.re) (.f64 x.re (.f64 #s(literal -3 binary64) (.f64 x.im x.im))))
(+.f64 (.f64 (.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re) (pow.f64 x.re #s(literal 3 binary64)))
(+.f64 (.f64 x.re (.f64 #s(literal -3 binary64) (*.f64 x.im x.im))) (pow.f64 x.re #s(literal 3 binary64)))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 #s(literal -3 binary64) (*.f64 x.im x.im))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal -27 binary64) (pow.f64 x.im #s(literal 6 binary64))) (pow.f64 x.re #s(literal 6 binary64)))) (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64)) (+.f64 (pow.f64 x.re #s(literal 4 binary64)) (.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (*.f64 (neg.f64 x.re) x.re))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (.f64 #s(literal -27 binary64) (pow.f64 x.im #s(literal 6 binary64))))) (neg.f64 (+.f64 (pow.f64 x.re #s(literal 4 binary64)) (fma.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64)) (.f64 (.f64 x.re x.re) (.f64 (*.f64 (neg.f64 x.im) x.im) #s(literal -3 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64)))))) (neg.f64 (neg.f64 (fma.f64 x.re x.re (.f64 #s(literal 3 binary64) (*.f64 x.im x.im))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))))) (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (*.f64 (neg.f64 x.re) x.re)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 binary64))))) (neg.f64 (neg.f64 (+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -3 binary64))) (pow.f64 x.re #s(literal 4 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (.f64 (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -3 binary64)))))))
(/.f64 (-.f64 (.f64 (pow.f64 x.re #s(literal 4 binary64)) (fma.f64 x.re x.re (.f64 #s(literal 3 binary64) (.f64 x.im x.im)))) (.f64 (fma.f64 x.re x.re (.f64 #s(literal 3 binary64) (.f64 x.im x.im))) (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))))) (.f64 (fma.f64 x.re x.re (.f64 #s(literal 3 binary64) (.f64 x.im x.im))) (fma.f64 x.re x.re (.f64 #s(literal 3 binary64) (.f64 x.im x.im)))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 (neg.f64 x.re) x.re))) (.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 (neg.f64 x.re) x.re)) (pow.f64 x.re #s(literal 4 binary64)))) (.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 (neg.f64 x.re) x.re))))
(/.f64 (fma.f64 (pow.f64 x.re #s(literal 6 binary64)) (+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (.f64 (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -3 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))) (.f64 (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -3 binary64))) (pow.f64 x.re #s(literal 4 binary64))) (.f64 #s(literal -27 binary64) (pow.f64 x.im #s(literal 6 binary64))))) (.f64 (+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (.f64 (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -3 binary64))) (pow.f64 x.re #s(literal 4 binary64))) (+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -3 binary64))) (pow.f64 x.re #s(literal 4 binary64)))))
(/.f64 (fma.f64 (.f64 #s(literal -27 binary64) (pow.f64 x.im #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 (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -3 binary64)))) (.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (.f64 (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -3 binary64)))) (pow.f64 x.re #s(literal 6 binary64)))) (.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (.f64 (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -3 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 (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -3 binary64))))))
(/.f64 (-.f64 (.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 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (*.f64 (neg.f64 x.re) x.re)))))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (.f64 #s(literal -27 binary64) (pow.f64 x.im #s(literal 6 binary64)))) (+.f64 (pow.f64 x.re #s(literal 4 binary64)) (fma.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64)) (.f64 (.f64 x.re x.re) (.f64 (*.f64 (neg.f64 x.im) x.im) #s(literal -3 binary64))))))
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(/.f64 (fabs.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))) x.re)) (fabs.f64 (fma.f64 x.im x.im #s(literal 0 binary64))))
(/.f64 (fabs.f64 (*.f64 #s(literal 0 binary64) x.im)) #s(literal 0 binary64))
(/.f64 (fabs.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64))) x.im)) (fabs.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64)))))
(/.f64 (fabs.f64 (.f64 x.re (.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))))) (fabs.f64 (fma.f64 x.im x.im #s(literal 0 binary64))))
(/.f64 (fabs.f64 (.f64 x.im (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64))))) (fabs.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64)))))
(/.f64 (fabs.f64 (-.f64 (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64)) (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64)))) (fabs.f64 (+.f64 (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 x.im x.re) (*.f64 (neg.f64 x.im) x.re))))))
(/.f64 (fabs.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))))) (fabs.f64 (neg.f64 (fma.f64 x.im x.im #s(literal 0 binary64)))))
(/.f64 (fabs.f64 (neg.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64))))) (fabs.f64 (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))))
(/.f64 (fabs.f64 (neg.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64))))) (fabs.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))))
(/.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64)))) (fabs.f64 (fma.f64 x.im x.im #s(literal 0 binary64))))
(/.f64 (fabs.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64)))) (fabs.f64 (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))))
(/.f64 (fabs.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64)))) (fabs.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))))
(/.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))) x.im) #s(literal 3 binary64)) (pow.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (*.f64 #s(literal 0 binary64) x.re) #s(literal 3 binary64)) #s(literal 0 binary64))
(/.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))) x.re) #s(literal 3 binary64)) (pow.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (*.f64 #s(literal 0 binary64) x.im) #s(literal 3 binary64)) #s(literal 0 binary64))
(/.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64))) x.im) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (.f64 x.re (.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (.f64 x.im (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (-.f64 (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64)) (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 (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 x.im x.re) (*.f64 (neg.f64 x.im) x.re)))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (neg.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (neg.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 3 binary64)))
(/.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 #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.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 (.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 (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64)) (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64))) (+.f64 (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 x.im x.re) (*.f64 (neg.f64 x.im) x.re)))))
(/.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) (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64)))) (neg.f64 (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)))) (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 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))) (fma.f64 x.im x.im #s(literal 0 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 2 binary64) x.im))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x.im))) (sqrt.f64 (neg.f64 (neg.f64 x.im))) x.im)
(fma.f64 (sqrt.f64 (neg.f64 x.im)) (sqrt.f64 (neg.f64 x.im)) x.im)
(fma.f64 (sqrt.f64 x.im) (sqrt.f64 x.im) x.im)
(fma.f64 (neg.f64 x.im) x.re (*.f64 (neg.f64 x.im) x.re))
(fma.f64 (.f64 x.im x.re) x.im (.f64 (*.f64 x.im x.re) x.im))
(fma.f64 (.f64 x.im x.im) x.re (.f64 (*.f64 x.im x.re) x.im))
(fma.f64 x.im (.f64 x.im x.re) (.f64 (*.f64 x.im x.re) x.im))
(fma.f64 x.im x.re (*.f64 (neg.f64 (neg.f64 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 x.im (*.f64 (neg.f64 (neg.f64 x.im)) x.re))
(fma.f64 x.re x.im (*.f64 x.im x.re))
(sqrt.f64 (.f64 (.f64 x.im x.im) #s(literal 4 binary64)))
(-.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 (.f64 x.im x.re) (.f64 (neg.f64 x.re) x.im))
(-.f64 (.f64 x.im x.re) (.f64 (neg.f64 x.im) x.re))
(fabs.f64 (-.f64 (.f64 (neg.f64 x.re) x.im) (.f64 x.im x.re)))
(fabs.f64 (-.f64 (.f64 (neg.f64 x.im) x.re) (.f64 x.im x.re)))
(fabs.f64 (*.f64 #s(literal 2 binary64) x.im))
(exp.f64 (fma.f64 (log.f64 (.f64 #s(literal 2 binary64) x.im)) #s(literal 3 binary64) (.f64 (log.f64 x.im) #s(literal 3 binary64))))
(exp.f64 (fma.f64 (log.f64 x.re) #s(literal 3 binary64) (.f64 (log.f64 (.f64 #s(literal 2 binary64) x.im)) #s(literal 3 binary64))))
(exp.f64 (fma.f64 (log.f64 x.im) #s(literal 3 binary64) (.f64 (log.f64 (.f64 #s(literal 2 binary64) x.im)) #s(literal 3 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 #s(literal 2 binary64) x.im)) #s(literal 3 binary64)) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) x.im)) #s(literal 3 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) x.im)) #s(literal 3 binary64))) (sinh.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) x.im)) #s(literal 3 binary64))))
(+.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (fma.f64 x.im x.im #s(literal 0 binary64))) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (fma.f64 x.im x.im #s(literal 0 binary64))))
(+.f64 (/.f64 (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 (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 (.f64 x.im x.re) x.im) (.f64 (.f64 x.im x.re) x.im))
(+.f64 (.f64 (neg.f64 x.im) x.re) (.f64 (neg.f64 x.im) x.re))
(+.f64 (.f64 x.im x.re) (.f64 (neg.f64 (neg.f64 x.im)) x.re))
(+.f64 (.f64 x.im x.re) (.f64 x.im x.re))
(+.f64 x.im x.im)

eval110.0ms (1.3%)

Memory: 9.9MiB live, 98.3MiB allocated
Compiler: Compiled 24 722 to 1 690 computations (93.2% saved)

prune58.0ms (0.7%)

Memory

14.4MiB live, 64.7MiB allocated

Pruning

12 alts after pruning (6 fresh and 6 done)

	Pruned	Kept	Total
New	574	4	578
Fresh	2	2	4
Picked	2	3	5
Done	1	3	4
Total	579	12	591

Accuracy

100.0%

Counts

591 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	59.6%	(fma.f64 (-.f64 x.re x.im) #s(approx (* x.re (+ x.im x.re)) (.f64 (fma.f64 (/.f64 x.re x.im) x.re x.re) x.im)) (.f64 #s(literal 2 binary64) x.im))
	79.4%	(-.f64 (/.f64 (.f64 (.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) #s(approx (* x.re (+ x.im x.re)) (.f64 (fma.f64 (/.f64 x.re x.im) x.re x.re) x.im))) (+.f64 x.im x.re)) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
✓	93.1%	(-.f64 (.f64 (.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.im))
✓	90.2%	(-.f64 (.f64 #s(approx ( x.re (+ x.im x.re)) (.f64 (fma.f64 x.re (/.f64 x.re x.im) x.re) x.im)) (-.f64 x.re x.im)) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
	56.7%	#s(approx (- (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64)))
✓	94.2%	#s(approx (- (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 x.re x.re (.f64 (*.f64 x.im x.im) #s(literal -3 binary64))) x.re))
	56.7%	#s(approx (- (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (.f64 #s(approx (+ ( (/ (/ x.re x.im) x.im) x.re) -3) #s(literal -3 binary64)) x.re) x.im) x.im))
	56.6%	#s(approx (- (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx (+ ( x.re x.re) (* (* x.im x.im) -3)) (*.f64 x.re x.re)) x.re))
✓	53.1%	#s(approx (- (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) 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 (.f64 x.im x.im) #s(literal -3 binary64))) x.re))
	37.9%	#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 #s(approx (+ (* (/ (/ x.re x.im) x.im) x.re) -3) (.f64 (/.f64 x.re x.im) (/.f64 x.re x.im)))) (.f64 x.im x.im)))
✓	56.7%	#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)))
✓	53.1%	#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 1 299 to 373 computations (71.3% saved)

regimes47.0ms (0.6%)

Memory

2.8MiB live, 46.6MiB allocated

Counts

30 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

31.0ms	x.re
8.0ms	x.im
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
99.8%	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))`
99.8%	2	`x.re`
97.8%	2	`x.im`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes34.0ms (0.4%)

Memory

-22.9MiB live, 24.4MiB allocated

Counts

17 → 2

Calls

Call 1

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

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

Calls

3 calls:

24.0ms	x.im
5.0ms	x.re
4.0ms	(-.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
97.8%	2	`x.im`
97.8%	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))`
97.8%	2	`x.re`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes11.0ms (0.1%)

Memory

18.2MiB live, 18.2MiB allocated

Counts

12 → 2

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	x.re
4.0ms	x.im
3.0ms	(-.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
95.2%	3	`x.re`
95.4%	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))`
97.8%	2	`x.im`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes6.0ms (0.1%)

Memory

11.2MiB live, 11.2MiB allocated

Counts

10 → 2

Calls

Call 1

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

#s(approx (- (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (+ (* x.re x.re) (* (* x.im x.im) -3)) (*.f64 x.re x.re)) x.re))

Calls

2 calls:

3.0ms	x.im
3.0ms	(-.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
95.4%	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))`
84.4%	2	`x.im`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes3.0ms (0%)

Memory

5.5MiB live, 5.5MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs

#s(approx (- (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (+ (* x.re x.re) (* (* x.im x.im) -3)) (*.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)))

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 (- (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (+ (* x.re x.re) (* (* x.im x.im) -3)) (*.f64 x.re x.re)) x.re))

Calls

2 calls:

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
74.2%	2	`x.re`
91.7%	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)

regimes17.0ms (0.2%)

Memory

-40.0MiB live, 7.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs

#s(approx (- (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (+ (* x.re x.re) (* (* x.im x.im) -3)) (*.f64 x.re x.re)) x.re))

Outputs

#s(approx (- (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (+ (* x.re x.re) (* (* x.im x.im) -3)) (*.f64 x.re x.re)) x.re))

Calls

3 calls:

14.0ms	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
56.6%	1	`x.re`
56.6%	1	`x.im`
56.6%	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)

bsearch14.0ms (0.2%)

Memory

18.8MiB live, 18.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	3.0881324820183857e+99	3.7687133845730586e+101

Samples

8.0ms

112×

valid

Compiler

Compiled 288 to 184 computations (36.1% saved)

Precisions

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

ival-mult: 4.0ms (75.5% of total)

ival-sub: 1.0ms (18.9% of total)

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

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

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

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-8.554215874774493e-70	-1.4533325864193122e-76

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch8.0ms (0.1%)

Memory

11.4MiB live, 11.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	1.4886470094769634e+153	2.4471484529757512e+153

Samples

4.0ms

64×

valid

Compiler

Compiled 250 to 156 computations (37.6% saved)

Precisions

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

ival-mult: 2.0ms (65.8% of total)

ival-sub: 1.0ms (32.9% of total)

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

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

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

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.8e-321	0.0

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.8e-321	0.0

Compiler

Compiled 22 to 16 computations (27.3% saved)

simplify75.0ms (0.9%)

Memory

-35.3MiB live, 23.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	81	417
1	142	399
2	317	399
3	789	376
4	1882	371
5	5313	371

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 x.re #s(literal 369999999999999972858698542773775471698497500866153998500992855750298173289493133688725540988157689856 binary64)) (-.f64 (.f64 (.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.im)) (fma.f64 (-.f64 x.re x.im) #s(approx (* x.re (+ x.im x.re)) (.f64 (fma.f64 (/.f64 x.re x.im) x.re x.re) x.im)) (.f64 #s(literal 2 binary64) 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 -1942668892225729/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352 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 (- ( (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 x.re x.re (.f64 (*.f64 x.im x.im) #s(literal -3 binary64))) x.re)))
(if (<=.f64 x.im #s(literal 2399999999999999924931881842025423395402535718152583729273141116877117858029220631917544320143013831662842916088279790626860013344253052134376031293276160 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 #s(literal -3 binary64) x.re) x.im) 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 -405/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 (- ( (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx (+ ( x.re x.re) (* (* x.im x.im) -3)) (*.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 -405/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 (- ( (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx (+ ( x.re x.re) (* (* x.im x.im) -3)) (*.f64 x.re x.re)) x.re)))
#s(approx (- (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx (+ ( x.re x.re) (* (* x.im x.im) -3)) (*.f64 x.re x.re)) x.re))

Outputs
(if (<=.f64 x.re #s(literal 369999999999999972858698542773775471698497500866153998500992855750298173289493133688725540988157689856 binary64)) (-.f64 (.f64 (.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.im)) (fma.f64 (-.f64 x.re x.im) #s(approx (* x.re (+ x.im x.re)) (.f64 (fma.f64 (/.f64 x.re x.im) x.re x.re) x.im)) (.f64 #s(literal 2 binary64) 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 -1942668892225729/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352 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 (- ( (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 x.re x.re (.f64 (*.f64 x.im x.im) #s(literal -3 binary64))) x.re)))
(if (<=.f64 x.im #s(literal 2399999999999999924931881842025423395402535718152583729273141116877117858029220631917544320143013831662842916088279790626860013344253052134376031293276160 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 #s(literal -3 binary64) x.re) x.im) 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 -405/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 (- ( (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx (+ ( x.re x.re) (* (* x.im x.im) -3)) (*.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 -405/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 (- ( (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx (+ ( x.re x.re) (* (* x.im x.im) -3)) (*.f64 x.re x.re)) x.re)))
#s(approx (- (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx (+ ( x.re x.re) (* (* x.im x.im) -3)) (*.f64 x.re x.re)) x.re))

soundness1.3s (15.7%)

Memory

35.4MiB live, 991.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	200	905
1	675	748
2	2574	653
0	8380	627
0	11	51
0	20	51
1	88	39
0	679	38
0	209	1018
1	697	796
2	2720	723
0	8477	701
0	56	237
1	172	217
2	610	208
3	3532	208
0	8354	202
0	178	615
1	616	512
2	2392	494
0	8478	474
0	51	312
0	75	277
1	333	253
2	2149	253
0	8330	248
0	45	275
0	73	254
1	286	226
2	1764	222
0	8880	217
0	49	288
0	72	268
1	336	244
2	2097	236
0	8401	231

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×	node 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 1 049 to 416 computations (60.3% saved)

preprocess202.0ms (2.4%)

Memory: -19.3MiB live, 170.4MiB allocated
Compiler: Compiled 1 074 to 296 computations (72.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.9s (23.3%)

explain189.0ms (2.3%)

preprocess272.0ms (3.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify176.0ms (2.1%)

localize73.0ms (0.9%)

series15.0ms (0.2%)

simplify193.0ms (2.3%)

rewrite109.0ms (1.3%)

eval14.0ms (0.2%)

prune12.0ms (0.1%)

simplify198.0ms (2.4%)

localize148.0ms (1.8%)

series51.0ms (0.6%)

simplify211.0ms (2.6%)

rewrite267.0ms (3.2%)

eval164.0ms (2%)

prune52.0ms (0.6%)

simplify198.0ms (2.4%)

localize232.0ms (2.8%)

series19.0ms (0.2%)

simplify211.0ms (2.6%)

rewrite307.0ms (3.7%)

eval258.0ms (3.1%)

prune90.0ms (1.1%)

simplify246.0ms (3%)

localize231.0ms (2.8%)

series20.0ms (0.2%)

simplify211.0ms (2.6%)

rewrite293.0ms (3.5%)

eval110.0ms (1.3%)

prune58.0ms (0.7%)

regimes47.0ms (0.6%)

regimes34.0ms (0.4%)

regimes11.0ms (0.1%)

regimes6.0ms (0.1%)

regimes3.0ms (0%)

regimes17.0ms (0.2%)

bsearch14.0ms (0.2%)

bsearch0.0ms (0%)

bsearch8.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify75.0ms (0.9%)

soundness1.3s (15.7%)

preprocess202.0ms (2.4%)

end0.0ms (0%)

Profiling