Metrics for math.cube on complex, real part

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated

analyze0.0ms (0%)

Memory

0.9MiB live, 1.0MiB 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)

sample1.0s (16.5%)

Memory

51.2MiB live, 1 343.5MiB allocated

Samples

774.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 507.0ms

ival-mult: 377.0ms (74.3% of total)

ival-sub: 84.0ms (16.6% of total)

ival-add: 37.0ms (7.3% of total)

ival-true: 6.0ms (1.2% of total)

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

Bogosity

explain151.0ms (2.4%)

Memory

8.6MiB live, 204.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
22	-	-	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)`
20	-	-	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`
16	-	-	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`
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 x.re x.re) (*.f64 x.im x.im)) x.re)`	*no**	22	0
`-.f64`	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`	nan-rescue	20	0
↳	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)`	overflow	98
↳	`(*.f64 x.re x.re)`	overflow	54
↳	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	overflow	104
↳	`(*.f64 x.im x.im)`	overflow	66
↳	`(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)`	overflow	53
↳	`(*.f64 x.im x.re)`	overflow	32
↳	`(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))`	overflow	32
↳	`(*.f64 x.re x.im)`	overflow	32
`-.f64`	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	nan-rescue	16	0
↳	`(*.f64 x.re x.re)`	overflow	54
↳	`(*.f64 x.im x.im)`	overflow	66

Confusion

	Predicted +	Predicted -
+	46	0
-	0	210

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	46	0	0
-	0	0	210

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	210
1	34
2	12

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

42.0ms

512×

valid

Compiler

Compiled 153 to 37 computations (75.8% saved)

Precisions

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

ival-mult: 19.0ms (74.2% of total)

ival-sub: 4.0ms (15.6% of total)

ival-add: 2.0ms (7.8% of total)

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

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

preprocess236.0ms (3.8%)

Memory

-30.3MiB live, 218.2MiB 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

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	82.5%	(-.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)

simplify140.0ms (2.2%)

Memory

31.0MiB live, 221.6MiB 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)

localize39.0ms (0.6%)

Memory

-3.6MiB live, 34.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.13671875	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
accuracy	3.3945229933208236	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
accuracy	4.039062500000001	(-.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	5.222635190304869	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)

Samples

32.0ms

256×

valid

Compiler

Compiled 67 to 13 computations (80.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 9.0ms (74.2% of total)

ival-sub: 2.0ms (16.5% of total)

ival-add: 1.0ms (8.2% of total)

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

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

series20.0ms (0.3%)

Memory

-21.6MiB live, 25.4MiB 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
10.0ms	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))
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.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))
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))

simplify194.0ms (3.1%)

Memory

18.2MiB live, 176.0MiB 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))

rewrite46.0ms (0.7%)

Memory

-7.1MiB live, 30.8MiB 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)))

eval16.0ms (0.3%)

Memory: -2.6MiB live, 34.6MiB allocated
Compiler: Compiled 3 247 to 479 computations (85.2% saved)

prune4.0ms (0.1%)

Memory

12.5MiB live, 12.5MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	128	5	133
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	129	5	134

Accuracy

99.9%

Counts

134 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	82.5%	(-.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))
▶	57.4%	#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)))
▶	85.5%	#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))
▶	72.1%	#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 (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64))) (*.f64 x.im x.im)))
▶	58.5%	#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 262 to 152 computations (42% saved)

simplify342.0ms (5.4%)

Memory

-11.6MiB live, 249.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	36	266
0	56	251
1	120	243
2	348	243
3	1117	223
4	4500	223
0	8194	223

Stop Event

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

Calls

Call 1

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

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

localize127.0ms (2%)

Memory

3.5MiB live, 161.6MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0	(pow.f64 x.re #s(literal 3 binary64))
accuracy	27.24941390190583	#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)))
accuracy	0.12109375	(/.f64 (/.f64 x.re x.im) x.im)
accuracy	0.6033209249613997	(*.f64 x.re (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64)))
accuracy	2.6180609663069	(fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64))
accuracy	14.527195949540243	(.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	0.13671875	(.f64 (.f64 x.re (+.f64 x.im x.im)) x.im)
accuracy	3.3945229933208236	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
accuracy	4.039062500000001	(-.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))
accuracy	5.222635190304869	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
accuracy	0.0	(*.f64 x.im x.re)
accuracy	0.1328125	(.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.re) x.im))
accuracy	0.13671875	(.f64 (.f64 x.im x.re) x.im)
accuracy	26.49112538689664	#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	0.0	(*.f64 x.im x.im)
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 (fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (*.f64 x.re x.re)) x.re))
accuracy	3.496085493320823	(fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (.f64 x.re x.re))
accuracy	5.24170768899065	(.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (*.f64 x.re x.re)) x.re)

Samples

76.0ms	234×	0	valid
23.0ms	9×	1	valid
5.0ms	8×	3	valid
2.0ms	4×	2	valid
1.0ms	1×	4	valid

Compiler

Compiled 235 to 31 computations (86.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

ival-sub: 29.0ms (42.8% of total)

ival-mult: 25.0ms (36.9% of total)

ival-add: 5.0ms (7.4% of total)

ival-div: 3.0ms (4.4% of total)

ival-pow: 3.0ms (4.4% of total)

adjust: 2.0ms (3% of total)

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

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

exact: 0.0ms (0% of total)

series35.0ms (0.6%)

Memory

6.4MiB live, 41.5MiB allocated

Counts

20 → 47

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
19.0ms	x.re	@	0	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* -3 (* x.im x.im)) (* x.re x.re)) x.re) (+ (* -3 (* x.im x.im)) (* x.re x.re)) (* x.im x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.im x.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.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* 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.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow x.re 3) (* (* x.re (+ x.im x.im)) x.im) (/ (/ x.re x.im) x.im))
4.0ms	x.re	@	-inf	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* -3 (* x.im x.im)) (* x.re x.re)) x.re) (+ (* -3 (* x.im x.im)) (* x.re x.re)) (* x.im x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.im x.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.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* 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.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow x.re 3) (* (* x.re (+ x.im x.im)) x.im) (/ (/ x.re x.im) x.im))
4.0ms	x.re	@	inf	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* -3 (* x.im x.im)) (* x.re x.re)) x.re) (+ (* -3 (* x.im x.im)) (* x.re x.re)) (* x.im x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.im x.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.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* 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.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow x.re 3) (* (* x.re (+ x.im x.im)) x.im) (/ (/ x.re x.im) x.im))
2.0ms	x.im	@	inf	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* -3 (* x.im x.im)) (* x.re x.re)) x.re) (+ (* -3 (* x.im x.im)) (* x.re x.re)) (* x.im x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.im x.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.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* 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.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow x.re 3) (* (* x.re (+ x.im x.im)) x.im) (/ (/ x.re x.im) x.im))
2.0ms	x.im	@	-inf	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* -3 (* x.im x.im)) (* x.re x.re)) x.re) (+ (* -3 (* x.im x.im)) (* x.re x.re)) (* x.im x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.im x.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.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* 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.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow x.re 3) (* (* x.re (+ x.im x.im)) x.im) (/ (/ x.re x.im) x.im))

simplify159.0ms (2.5%)

Memory

3.4MiB live, 232.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	494
1	253	455
2	881	439
3	5440	439
0	8250	421

Stop Event

1×	iter limit
1×	node limit

Counts

47 → 47

Calls

Call 1

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

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

rewrite273.0ms (4.3%)

Memory

-7.9MiB live, 324.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	233
0	56	225
1	217	201
2	1415	197
0	8394	192

Stop Event

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

Counts

20 → 1 086

Calls

Call 1

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

eval155.0ms (2.5%)

Memory: -0.6MiB live, 233.3MiB allocated
Compiler: Compiled 42 895 to 3 665 computations (91.5% saved)

prune79.0ms (1.3%)

Memory

-34.6MiB live, 101.8MiB allocated

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	1 166	8	1 174
Fresh	0	0	0
Picked	3	2	5
Done	0	0	0
Total	1 169	10	1 179

Accuracy

100.0%

Counts

1 179 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	57.4%	#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)))
	87.1%	#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 x.re x.re (.f64 (*.f64 x.im x.im) #s(literal -3 binary64))) x.re))
▶	91.6%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64)) x.re) x.im) x.im))
▶	58.4%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im))
▶	62.0%	#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)))
	50.5%	#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 #s(approx (+ (* (/ (/ x.re x.im) x.im) x.re) -3) #s(literal -3 binary64))) (*.f64 x.im x.im)))
	21.8%	#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 x.re) (neg.f64 x.re)))
▶	57.4%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re x.re) x.re))
▶	58.4%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.im x.re) (*.f64 #s(literal -3 binary64) x.im)))
✓	58.5%	#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 528 to 306 computations (42% saved)

simplify237.0ms (3.8%)

Memory

10.2MiB live, 120.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	284
0	54	280
1	113	266
2	350	266
3	1235	251
4	5714	251
0	8112	246

Stop Event

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

Calls

Call 1

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

localize165.0ms (2.6%)

Memory

6.0MiB live, 91.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.6033209249613997	(.f64 x.re (fma.f64 (/.f64 x.re (.f64 x.im x.im)) x.re #s(literal -3 binary64)))
accuracy	2.6180609663069	(fma.f64 (/.f64 x.re (*.f64 x.im x.im)) x.re #s(literal -3 binary64))
accuracy	8.178106504981072	(/.f64 x.re (*.f64 x.im x.im))
accuracy	14.527195949540243	(.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 #s(literal -3 binary64) x.im)
accuracy	0.125	(.f64 (.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im)
accuracy	0.171875	(.f64 (.f64 #s(literal -3 binary64) x.im) x.re)
accuracy	26.49112538689664	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im))
accuracy	0.0	(*.f64 x.im x.re)
accuracy	0.0	(*.f64 #s(literal -3 binary64) x.im)
accuracy	0.232753759768442	(.f64 (.f64 x.im x.re) (*.f64 #s(literal -3 binary64) x.im))
accuracy	26.49112538689664	#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 #s(literal -3 binary64) x.im)))
accuracy	0.0	(*.f64 x.re x.re)
accuracy	0.0546875	(.f64 (.f64 x.re x.re) x.re)
accuracy	27.24941390190583	#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 x.re) x.re))
accuracy	0.2741012695368841	(pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))
accuracy	0.6033209249613997	(*.f64 (+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64)) x.re)
accuracy	2.225098573301733	(.f64 (.f64 (+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64)) x.re) x.im)
accuracy	2.6324580011210466	(.f64 (.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64)) x.re) x.im) x.im)

Samples

110.0ms	234×	0	valid
27.0ms	4×	2	valid
5.0ms	8×	3	valid
3.0ms	9×	1	valid
1.0ms	1×	4	valid

Compiler

Compiled 238 to 31 computations (87% saved)

Precisions

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

ival-mult: 51.0ms (39.8% of total)

ival-add: 42.0ms (32.8% of total)

ival-div: 28.0ms (21.9% of total)

ival-pow2: 3.0ms (2.3% of total)

adjust: 2.0ms (1.6% of total)

ival-sub: 2.0ms (1.6% of total)

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

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

exact: 0.0ms (0% of total)

series20.0ms (0.3%)

Memory

20.3MiB live, 20.3MiB allocated

Counts

20 → 38

Calls

Call 1

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

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)) (* (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) x.im) (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) (* (+ (pow (/ x.re x.im) 2) -3) x.re) (* (* x.re x.re) x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* x.re x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.im x.re) (* -3 x.im)) (* x.im x.re) (* -3 x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* -3 x.im) x.re) x.im) (* (* -3 x.im) x.re) (+ (* (/ x.re (* x.im x.im)) x.re) -3) (- (* (- (* 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)) (pow (/ x.re x.im) 2) (/ x.re (* x.im x.im)))
3.0ms	x.re	@	inf	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) x.im) (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) (* (+ (pow (/ x.re x.im) 2) -3) x.re) (* (* x.re x.re) x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* x.re x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.im x.re) (* -3 x.im)) (* x.im x.re) (* -3 x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* -3 x.im) x.re) x.im) (* (* -3 x.im) x.re) (+ (* (/ x.re (* x.im x.im)) x.re) -3) (- (* (- (* 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)) (pow (/ x.re x.im) 2) (/ x.re (* x.im x.im)))
3.0ms	x.im	@	-inf	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) x.im) (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) (* (+ (pow (/ x.re x.im) 2) -3) x.re) (* (* x.re x.re) x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* x.re x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.im x.re) (* -3 x.im)) (* x.im x.re) (* -3 x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* -3 x.im) x.re) x.im) (* (* -3 x.im) x.re) (+ (* (/ x.re (* x.im x.im)) x.re) -3) (- (* (- (* 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)) (pow (/ x.re x.im) 2) (/ x.re (* x.im x.im)))
3.0ms	x.re	@	0	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) x.im) (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) (* (+ (pow (/ x.re x.im) 2) -3) x.re) (* (* x.re x.re) x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* x.re x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.im x.re) (* -3 x.im)) (* x.im x.re) (* -3 x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* -3 x.im) x.re) x.im) (* (* -3 x.im) x.re) (+ (* (/ x.re (* x.im x.im)) x.re) -3) (- (* (- (* 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)) (pow (/ x.re x.im) 2) (/ x.re (* x.im x.im)))
2.0ms	x.im	@	inf	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) x.im) (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) (* (+ (pow (/ x.re x.im) 2) -3) x.re) (* (* x.re x.re) x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* x.re x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.im x.re) (* -3 x.im)) (* x.im x.re) (* -3 x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* -3 x.im) x.re) x.im) (* (* -3 x.im) x.re) (+ (* (/ x.re (* x.im x.im)) x.re) -3) (- (* (- (* 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)) (pow (/ x.re x.im) 2) (/ x.re (* x.im x.im)))

simplify153.0ms (2.4%)

Memory

-4.2MiB live, 69.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	92	420
1	267	388
2	932	372
3	5113	372
0	8097	354

Stop Event

1×	iter limit
1×	node limit

Counts

38 → 38

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

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

rewrite223.0ms (3.6%)

Memory

-15.6MiB live, 66.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	254
0	54	247
1	191	226
2	1257	226
0	8565	221

Stop Event

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

Counts

20 → 387

Calls

Call 1

Inputs
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64)) x.re) x.im) x.im))
(.f64 (.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64)) x.re) x.im) x.im)
(.f64 (.f64 (+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64)) x.re) x.im)
(*.f64 (+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64)) x.re)
(.f64 (.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 x.re) x.re))
(*.f64 x.re x.re)
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.im x.re) (*.f64 #s(literal -3 binary64) x.im)))
(.f64 (.f64 x.im x.re) (*.f64 #s(literal -3 binary64) x.im))
(*.f64 x.im x.re)
(*.f64 #s(literal -3 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 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im))
(.f64 (.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im)
(.f64 (.f64 #s(literal -3 binary64) x.im) x.re)
(fma.f64 (/.f64 x.re (*.f64 x.im x.im)) x.re #s(literal -3 binary64))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.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)))
(pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))
(/.f64 x.re (*.f64 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 (.f64 x.im (+.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)))) (*.f64 x.im x.re)))
(.f64 (.f64 x.im (+.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)))) (*.f64 x.im x.re))
(.f64 (.f64 (*.f64 (+.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))) x.re) (neg.f64 x.im)) (neg.f64 x.im))
(.f64 (.f64 (*.f64 x.im x.im) x.re) (+.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))))
(.f64 (.f64 (*.f64 (+.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))) x.im) x.im) x.re)
(.f64 (.f64 (*.f64 (+.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))) x.re) x.im) x.im)
(.f64 (neg.f64 x.im) (.f64 (neg.f64 x.im) (*.f64 (+.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))) x.re)))
(.f64 (.f64 (+.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))) x.re) (*.f64 x.im x.im))
(.f64 (.f64 x.im x.im) (*.f64 (+.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))) x.re))
(.f64 (+.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))) (.f64 x.re (*.f64 x.im x.im)))
(.f64 (+.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))) (.f64 (*.f64 x.im x.re) x.im))
(.f64 x.im (.f64 (*.f64 (+.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))) x.re) x.im))
(.f64 x.re (.f64 (*.f64 (+.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))) x.im) x.im))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) x.re) (.f64 x.im x.im)) (.f64 (.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) x.re) (.f64 x.im x.im))) (.f64 (.f64 (.f64 #s(literal -3 binary64) x.re) (.f64 x.im x.im)) (.f64 (.f64 #s(literal -3 binary64) x.re) (.f64 x.im x.im)))) (-.f64 (.f64 (.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) x.re) (.f64 x.im x.im)) (.f64 (.f64 #s(literal -3 binary64) x.re) (.f64 x.im x.im))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x.im x.im) (.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) x.re)) (.f64 (.f64 x.im x.im) (.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) x.re))) (.f64 (.f64 (.f64 x.im x.im) (.f64 #s(literal -3 binary64) x.re)) (.f64 (.f64 x.im x.im) (.f64 #s(literal -3 binary64) x.re)))) (-.f64 (.f64 (.f64 x.im x.im) (.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) x.re)) (.f64 (.f64 x.im x.im) (.f64 #s(literal -3 binary64) x.re))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) x.re) (.f64 x.im x.im)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 #s(literal -3 binary64) x.re) (.f64 x.im x.im)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) x.re) (.f64 x.im x.im)) (.f64 (.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) x.re) (.f64 x.im x.im)) (-.f64 (.f64 (.f64 (.f64 #s(literal -3 binary64) x.re) (.f64 x.im x.im)) (.f64 (.f64 #s(literal -3 binary64) x.re) (.f64 x.im x.im))) (.f64 (.f64 (.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) x.re) (.f64 x.im x.im)) (.f64 (.f64 #s(literal -3 binary64) x.re) (.f64 x.im x.im))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x.im x.im) (.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) x.re)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x.im x.im) (.f64 #s(literal -3 binary64) x.re)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 x.im x.im) (.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) x.re)) (.f64 (.f64 x.im x.im) (.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) x.re)) (-.f64 (.f64 (.f64 (.f64 x.im x.im) (.f64 #s(literal -3 binary64) x.re)) (.f64 (.f64 x.im x.im) (.f64 #s(literal -3 binary64) x.re))) (.f64 (.f64 (.f64 x.im x.im) (.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) x.re)) (.f64 (.f64 x.im x.im) (.f64 #s(literal -3 binary64) x.re))))))
(neg.f64 (.f64 x.im (.f64 (neg.f64 x.im) (*.f64 (+.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))) x.re))))
(neg.f64 (.f64 (.f64 (neg.f64 x.im) x.im) (*.f64 (+.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))) x.re)))
(fma.f64 (.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) x.re) (.f64 x.im x.im) (.f64 (.f64 #s(literal -3 binary64) x.re) (*.f64 x.im x.im)))
(fma.f64 (.f64 x.im x.im) (.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) x.re) (.f64 (.f64 x.im x.im) (*.f64 #s(literal -3 binary64) x.re)))
(-.f64 (.f64 (.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) x.re) (.f64 x.im x.im)) (.f64 (.f64 (neg.f64 x.re) #s(literal -3 binary64)) (.f64 x.im x.im)))
(-.f64 (.f64 (.f64 x.im x.im) (.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) x.re)) (.f64 (.f64 (neg.f64 x.im) x.im) (.f64 #s(literal -3 binary64) x.re)))
(+.f64 (.f64 (.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) x.re) (.f64 x.im x.im)) (.f64 (.f64 #s(literal -3 binary64) x.re) (.f64 x.im x.im)))
(+.f64 (.f64 (.f64 x.im x.im) (.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) x.re)) (.f64 (.f64 x.im x.im) (.f64 #s(literal -3 binary64) x.re)))
(.f64 (.f64 (+.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))) x.im) x.re)
(.f64 (.f64 x.im (+.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)))) x.re)
(.f64 (.f64 (+.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))) x.re) x.im)
(.f64 (.f64 x.im x.re) (+.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))))
(.f64 (+.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))) (.f64 x.im x.re))
(.f64 x.im (.f64 (+.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))) x.re))
(.f64 x.re (.f64 (+.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))) x.im))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 4 binary64)) #s(literal 9 binary64)) (.f64 x.im x.re))) (neg.f64 (-.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal -27 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 6 binary64))) (.f64 x.im x.re))) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))))))
(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 4 binary64)) #s(literal 9 binary64)) (.f64 x.im x.re)) (-.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64)))
(/.f64 (.f64 (-.f64 #s(literal -27 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 6 binary64))) (.f64 x.im x.re)) (-.f64 (+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)))))
(*.f64 (+.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))) x.re)
(*.f64 x.re (+.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))))
(/.f64 (-.f64 (/.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (.f64 (.f64 #s(literal 3 binary64) x.re) (.f64 #s(literal 3 binary64) x.re))) (fma.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) x.re (.f64 #s(literal 3 binary64) x.re)))
(/.f64 (-.f64 (.f64 #s(literal 9 binary64) (.f64 x.re x.re)) (/.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (-.f64 (.f64 #s(literal -3 binary64) x.re) (.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) x.re)))
(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) x.re) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 3 binary64) x.re) #s(literal 3 binary64))) (+.f64 (/.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal 3 binary64) x.re) (.f64 #s(literal 3 binary64) x.re) (.f64 (.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) x.re) (*.f64 #s(literal 3 binary64) x.re)))))
(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) x.re) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 x.re) #s(literal -3 binary64)) #s(literal 3 binary64))) (+.f64 (/.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (fma.f64 #s(literal 9 binary64) (.f64 x.re x.re) (.f64 (.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) x.re) (.f64 (neg.f64 x.re) #s(literal -3 binary64))))))
(/.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) x.re) #s(literal 3 binary64))) (fma.f64 #s(literal 9 binary64) (.f64 x.re x.re) (-.f64 (/.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (.f64 (.f64 #s(literal -3 binary64) x.re) (*.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) x.re)))))
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(*.f64 (/.f64 x.re (neg.f64 x.im)) (/.f64 x.re (neg.f64 x.im)))
(*.f64 (neg.f64 (/.f64 x.re x.im)) (neg.f64 (/.f64 x.re x.im)))
(.f64 (neg.f64 x.re) (/.f64 x.re (.f64 (neg.f64 x.im) x.im)))
(*.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re)
(*.f64 (/.f64 x.re x.im) (/.f64 x.re (neg.f64 (neg.f64 x.im))))
(*.f64 (/.f64 x.re x.im) (/.f64 x.re x.im))
(.f64 x.re (pow.f64 (/.f64 x.re (.f64 (neg.f64 x.im) x.im)) #s(literal 1 binary64)))
(*.f64 x.re (pow.f64 (/.f64 (/.f64 x.re x.im) x.im) #s(literal 1 binary64)))
(*.f64 x.re (/.f64 (/.f64 x.re x.im) x.im))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (/.f64 x.re x.im)))
(pow.f64 (/.f64 (neg.f64 x.re) x.im) #s(literal 2 binary64))
(pow.f64 (/.f64 x.re (neg.f64 x.im)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (/.f64 x.re x.im)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)))) (cosh.f64 (log.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))))) (.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)))))) (-.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)))) (cosh.f64 (log.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)))) (-.f64 (.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))))) (.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (/.f64 (*.f64 (neg.f64 x.re) x.re) x.im)) (neg.f64 (neg.f64 x.im)))
(/.f64 (neg.f64 (/.f64 (*.f64 x.re x.re) x.im)) (neg.f64 x.im))
(/.f64 (neg.f64 (*.f64 (neg.f64 x.re) (/.f64 x.re x.im))) (neg.f64 (neg.f64 x.im)))
(/.f64 (neg.f64 (*.f64 (/.f64 x.re x.im) (neg.f64 x.re))) (neg.f64 (neg.f64 x.im)))
(/.f64 (neg.f64 (*.f64 (/.f64 x.re x.im) x.re)) (neg.f64 x.im))
(/.f64 (fabs.f64 (*.f64 (neg.f64 x.re) (/.f64 x.re x.im))) x.im)
(/.f64 (fabs.f64 (*.f64 x.re (/.f64 x.re x.im))) x.im)
(/.f64 (fabs.f64 (*.f64 (/.f64 x.re x.im) (neg.f64 x.re))) x.im)
(/.f64 (fabs.f64 (*.f64 (/.f64 x.re x.im) x.re)) x.im)
(/.f64 (/.f64 (*.f64 (neg.f64 x.re) x.re) x.im) (neg.f64 x.im))
(/.f64 (/.f64 (*.f64 x.re x.re) x.im) x.im)
(/.f64 (*.f64 (neg.f64 x.re) (/.f64 x.re x.im)) (neg.f64 x.im))
(/.f64 (*.f64 x.re (/.f64 x.re x.im)) x.im)
(/.f64 (*.f64 (/.f64 x.re x.im) (neg.f64 x.re)) (neg.f64 x.im))
(/.f64 (*.f64 (/.f64 x.re x.im) x.re) x.im)
(/.f64 (.f64 (neg.f64 x.re) x.re) (.f64 (neg.f64 x.im) x.im))
(/.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(neg.f64 (.f64 x.re (/.f64 x.re (.f64 (neg.f64 x.im) x.im))))
(neg.f64 (.f64 (/.f64 x.re (.f64 (neg.f64 x.im) x.im)) x.re))
(neg.f64 (neg.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 4 binary64)))
(fabs.f64 (neg.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))))
(fabs.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 x.re))) (*.f64 (neg.f64 x.im) x.im))
(/.f64 (neg.f64 (neg.f64 (/.f64 x.re x.im))) (neg.f64 (neg.f64 x.im)))
(/.f64 (/.f64 x.re (neg.f64 x.im)) (neg.f64 x.im))
(/.f64 (neg.f64 (neg.f64 x.re)) (*.f64 x.im x.im))
(/.f64 (neg.f64 (/.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)))
(fabs.f64 (/.f64 x.re (*.f64 (neg.f64 x.im) x.im)))
(fabs.f64 (/.f64 (/.f64 x.re x.im) x.im))

eval80.0ms (1.3%)

Memory: 23.1MiB live, 58.9MiB allocated
Compiler: Compiled 12 508 to 1 480 computations (88.2% saved)

prune69.0ms (1.1%)

Memory

-6.0MiB live, 31.9MiB allocated

Pruning

11 alts after pruning (5 fresh and 6 done)

	Pruned	Kept	Total
New	316	3	319
Fresh	1	2	3
Picked	1	4	5
Done	0	2	2
Total	318	11	329

Accuracy

100.0%

Counts

329 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	57.4%	#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)))
▶	87.1%	#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 x.re x.re (.f64 (*.f64 x.im x.im) #s(literal -3 binary64))) x.re))
▶	53.6%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (/.f64 (.f64 (-.f64 #s(literal -27 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 6 binary64))) (.f64 x.im x.re)) (-.f64 (+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 4 binary64)) #s(literal 9 binary64)) (.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))))) x.im))
▶	58.4%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 x.im x.re) #s(literal -3 binary64)) x.im))
✓	58.4%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im))
✓	62.0%	#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)))
▶	21.8%	#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 x.re) (neg.f64 x.re)))
✓	57.4%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re x.re) x.re))
✓	58.4%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.im x.re) (*.f64 #s(literal -3 binary64) x.im)))
▶	94.2%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx ( (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) (.f64 (fma.f64 #s(literal -3 binary64) x.im (/.f64 (.f64 x.re x.re) x.im)) x.re)) x.im))
✓	58.5%	#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 515 to 302 computations (41.4% saved)

simplify206.0ms (3.3%)

Memory

-16.1MiB live, 73.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (.f64 (-.f64 #s(literal -27 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 6 binary64))) (.f64 x.im x.re)) (-.f64 (+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)))))
cost-diff	0	(.f64 (/.f64 (.f64 (-.f64 #s(literal -27 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 6 binary64))) (.f64 x.im x.re)) (-.f64 (+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 4 binary64)) #s(literal 9 binary64)) (.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))))) 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 (.f64 (-.f64 #s(literal -27 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 6 binary64))) (.f64 x.im x.re)) (-.f64 (+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 4 binary64)) #s(literal 9 binary64)) (.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))))) x.im))
cost-diff	1	(-.f64 (+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 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 (- (* (- (* x.re x.re) (* x.im x.im)) 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))
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 (.f64 (*.f64 x.im x.re) #s(literal -3 binary64)) 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 (*.f64 x.im x.re) #s(literal -3 binary64)) x.im))
cost-diff	0	(neg.f64 x.re)
cost-diff	0	(*.f64 x.re x.re)
cost-diff	0	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re x.re) (neg.f64 x.re)))
cost-diff	2	(.f64 (.f64 x.re x.re) (neg.f64 x.re))
cost-diff	0	(.f64 (fma.f64 #s(literal -3 binary64) x.im (/.f64 (.f64 x.re x.re) x.im)) x.re)
cost-diff	0	#s(approx (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) (.f64 (fma.f64 #s(literal -3 binary64) x.im (/.f64 (.f64 x.re x.re) x.im)) x.re))
cost-diff	0	(.f64 #s(approx ( (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) (.f64 (fma.f64 #s(literal -3 binary64) x.im (/.f64 (.f64 x.re x.re) 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(approx ( (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) (.f64 (fma.f64 #s(literal -3 binary64) x.im (/.f64 (.f64 x.re x.re) x.im)) x.re)) x.im))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	442
0	78	442
1	147	428
2	388	428
3	1117	413
4	3143	393
0	8043	389

Stop Event

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

Calls

Call 1

Inputs
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx ( (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) (.f64 (fma.f64 #s(literal -3 binary64) x.im (/.f64 (.f64 x.re x.re) x.im)) x.re)) x.im))
(.f64 #s(approx ( (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) (.f64 (fma.f64 #s(literal -3 binary64) x.im (/.f64 (.f64 x.re x.re) x.im)) x.re)) x.im)
#s(approx (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) (.f64 (fma.f64 #s(literal -3 binary64) x.im (/.f64 (.f64 x.re x.re) x.im)) x.re))
(.f64 (fma.f64 #s(literal -3 binary64) x.im (/.f64 (.f64 x.re x.re) x.im)) x.re)
(fma.f64 #s(literal -3 binary64) x.im (/.f64 (*.f64 x.re x.re) x.im))
#s(literal -3 binary64)
x.im
(/.f64 (*.f64 x.re x.re) 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 x.re) (neg.f64 x.re)))
(.f64 (.f64 x.re x.re) (neg.f64 x.re))
(*.f64 x.re x.re)
x.re
(neg.f64 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.re) #s(literal -3 binary64)) x.im))
(.f64 (.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.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 (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 (/.f64 (.f64 (-.f64 #s(literal -27 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 6 binary64))) (.f64 x.im x.re)) (-.f64 (+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 4 binary64)) #s(literal 9 binary64)) (.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))))) x.im))
(.f64 (/.f64 (.f64 (-.f64 #s(literal -27 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 6 binary64))) (.f64 x.im x.re)) (-.f64 (+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 4 binary64)) #s(literal 9 binary64)) (.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))))) x.im)
(/.f64 (.f64 (-.f64 #s(literal -27 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 6 binary64))) (.f64 x.im x.re)) (-.f64 (+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)))))
(.f64 (-.f64 #s(literal -27 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 6 binary64))) (.f64 x.im x.re))
(-.f64 #s(literal -27 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 6 binary64)))
#s(literal -27 binary64)
(pow.f64 (/.f64 x.re x.im) #s(literal 6 binary64))
(/.f64 x.re x.im)
x.re
x.im
#s(literal 6 binary64)
(*.f64 x.im x.re)
(-.f64 (+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))))
(+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 4 binary64)) #s(literal 9 binary64))
(pow.f64 (/.f64 x.re x.im) #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 9 binary64)
(*.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)))
#s(literal -3 binary64)
(pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))
#s(literal 2 binary64)

Outputs
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx ( (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) (.f64 (fma.f64 #s(literal -3 binary64) x.im (/.f64 (.f64 x.re x.re) x.im)) x.re)) x.im))
(.f64 #s(approx ( (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) (.f64 (fma.f64 #s(literal -3 binary64) x.im (/.f64 (.f64 x.re x.re) x.im)) x.re)) x.im)
#s(approx (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) (.f64 (fma.f64 #s(literal -3 binary64) x.im (/.f64 (.f64 x.re x.re) x.im)) x.re))
(.f64 (fma.f64 #s(literal -3 binary64) x.im (/.f64 (.f64 x.re x.re) x.im)) x.re)
(fma.f64 #s(literal -3 binary64) x.im (/.f64 (*.f64 x.re x.re) x.im))
#s(literal -3 binary64)
x.im
(/.f64 (*.f64 x.re x.re) 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 x.re) (neg.f64 x.re)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 (neg.f64 x.re) #s(literal 3 binary64)))
(.f64 (.f64 x.re x.re) (neg.f64 x.re))
(pow.f64 (neg.f64 x.re) #s(literal 3 binary64))
(*.f64 x.re x.re)
x.re
(neg.f64 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.re) #s(literal -3 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 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re))
(.f64 (.f64 (*.f64 x.im x.re) #s(literal -3 binary64)) x.im)
(.f64 (.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re)
(.f64 (.f64 x.im x.re) #s(literal -3 binary64))
(*.f64 x.im x.re)
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 (fma.f64 x.re x.re (.f64 (*.f64 x.im x.im) #s(literal -3 binary64))) x.re))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re))
(.f64 (fma.f64 x.re x.re (.f64 (*.f64 x.im x.im) #s(literal -3 binary64))) x.re)
(.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (*.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 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 x.re x.re))
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 (/.f64 (.f64 (-.f64 #s(literal -27 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 6 binary64))) (.f64 x.im x.re)) (-.f64 (+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 4 binary64)) #s(literal 9 binary64)) (.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #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 (/.f64 x.im (fma.f64 #s(literal 3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) (+.f64 #s(literal 9 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 4 binary64))))) x.im) (*.f64 (-.f64 #s(literal -27 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 6 binary64))) x.re)))
(.f64 (/.f64 (.f64 (-.f64 #s(literal -27 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 6 binary64))) (.f64 x.im x.re)) (-.f64 (+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 4 binary64)) #s(literal 9 binary64)) (.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))))) x.im)
(.f64 (.f64 (/.f64 x.im (fma.f64 #s(literal 3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) (+.f64 #s(literal 9 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 4 binary64))))) x.im) (*.f64 (-.f64 #s(literal -27 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 6 binary64))) x.re))
(/.f64 (.f64 (-.f64 #s(literal -27 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 6 binary64))) (.f64 x.im x.re)) (-.f64 (+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)))))
(.f64 (/.f64 x.re (fma.f64 #s(literal 3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) (+.f64 #s(literal 9 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 4 binary64))))) (.f64 (-.f64 #s(literal -27 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 6 binary64))) x.im))
(.f64 (-.f64 #s(literal -27 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 6 binary64))) (.f64 x.im x.re))
(.f64 (.f64 (-.f64 #s(literal -27 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 6 binary64))) x.re) x.im)
(-.f64 #s(literal -27 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 6 binary64)))
#s(literal -27 binary64)
(pow.f64 (/.f64 x.re x.im) #s(literal 6 binary64))
(/.f64 x.re x.im)
x.re
x.im
#s(literal 6 binary64)
(*.f64 x.im x.re)
(-.f64 (+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))))
(fma.f64 #s(literal 3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) (+.f64 #s(literal 9 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 4 binary64))))
(+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 4 binary64)) #s(literal 9 binary64))
(+.f64 #s(literal 9 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 4 binary64)))
(pow.f64 (/.f64 x.re x.im) #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 9 binary64)
(*.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64))
#s(literal -3 binary64)
(pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))
#s(literal 2 binary64)

localize165.0ms (2.6%)

Memory

24.4MiB live, 100.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	2.6324580011210466	(.f64 (/.f64 (.f64 (-.f64 #s(literal -27 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 6 binary64))) (.f64 x.im x.re)) (-.f64 (+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 4 binary64)) #s(literal 9 binary64)) (.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))))) x.im)
accuracy	5.280313899812221	(.f64 (-.f64 #s(literal -27 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 6 binary64))) (.f64 x.im x.re))
accuracy	23.486496726609715	(/.f64 (.f64 (-.f64 #s(literal -27 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 6 binary64))) (.f64 x.im x.re)) (-.f64 (+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)))))
accuracy	26.65443561387257	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (/.f64 (.f64 (-.f64 #s(literal -27 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 6 binary64))) (.f64 x.im x.re)) (-.f64 (+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 4 binary64)) #s(literal 9 binary64)) (.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))))) x.im))
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 (fma.f64 x.re x.re (.f64 (*.f64 x.im x.im) #s(literal -3 binary64))) x.re))
accuracy	0.18359375	(.f64 (.f64 x.im x.im) #s(literal -3 binary64))
accuracy	2.9999669712667223	(fma.f64 x.re x.re (.f64 (.f64 x.im x.im) #s(literal -3 binary64)))
accuracy	5.24170768899065	(.f64 (fma.f64 x.re x.re (.f64 (*.f64 x.im x.im) #s(literal -3 binary64))) x.re)
accuracy	0.0	(*.f64 x.im x.re)
accuracy	0.125	(.f64 (.f64 (*.f64 x.im x.re) #s(literal -3 binary64)) x.im)
accuracy	0.24609375	(.f64 (.f64 x.im x.re) #s(literal -3 binary64))
accuracy	26.49112538689664	#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) #s(literal -3 binary64)) x.im))
accuracy	0.0	(*.f64 x.re x.re)
accuracy	0.0	(neg.f64 x.re)
accuracy	0.0546875	(.f64 (.f64 x.re x.re) (neg.f64 x.re))
accuracy	50.0650862532166	#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 x.re) (neg.f64 x.re)))
accuracy	0.03125	(fma.f64 #s(literal -3 binary64) x.im (/.f64 (*.f64 x.re x.re) x.im))
accuracy	0.09765625	(.f64 (fma.f64 #s(literal -3 binary64) x.im (/.f64 (.f64 x.re x.re) x.im)) x.re)
accuracy	2.6324580011210466	(.f64 #s(approx ( (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) (.f64 (fma.f64 #s(literal -3 binary64) x.im (/.f64 (.f64 x.re x.re) x.im)) x.re)) x.im)
accuracy	7.740597424858745	(/.f64 (*.f64 x.re x.re) x.im)

Samples

95.0ms	241×	0	valid
4.0ms	5×	3	valid
4.0ms	4×	4	valid
3.0ms	4×	2	valid
1.0ms	2×	1	valid

Compiler

Compiled 345 to 45 computations (87% saved)

Precisions

Click to see histograms. Total time spent on operations: 85.0ms

ival-sub: 34.0ms (39.9% of total)

ival-mult: 28.0ms (32.9% of total)

ival-add: 6.0ms (7% of total)

ival-div: 5.0ms (5.9% of total)

ival-pow: 5.0ms (5.9% of total)

adjust: 3.0ms (3.5% of total)

ival-pow2: 3.0ms (3.5% of total)

exact: 1.0ms (1.2% of total)

ival-neg: 1.0ms (1.2% of total)

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

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

series77.0ms (1.2%)

Memory

-18.8MiB live, 26.8MiB allocated

Counts

23 → 83

Calls

Call 1

Inputs
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx ( (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) (.f64 (fma.f64 #s(literal -3 binary64) x.im (/.f64 (.f64 x.re x.re) x.im)) x.re)) x.im))
(.f64 #s(approx ( (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) (.f64 (fma.f64 #s(literal -3 binary64) x.im (/.f64 (.f64 x.re x.re) x.im)) x.re)) x.im)
#s(approx (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) (.f64 (fma.f64 #s(literal -3 binary64) x.im (/.f64 (.f64 x.re x.re) x.im)) x.re))
(.f64 (fma.f64 #s(literal -3 binary64) x.im (/.f64 (.f64 x.re x.re) x.im)) x.re)
(.f64 (.f64 x.re x.re) (neg.f64 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 x.re) (neg.f64 x.re)))
(*.f64 x.re x.re)
(neg.f64 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.re) #s(literal -3 binary64)) x.im))
(.f64 (.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)
#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 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))
(-.f64 (+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (/.f64 (.f64 (-.f64 #s(literal -27 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 6 binary64))) (.f64 x.im x.re)) (-.f64 (+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 4 binary64)) #s(literal 9 binary64)) (.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))))) x.im))
(.f64 (/.f64 (.f64 (-.f64 #s(literal -27 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 6 binary64))) (.f64 x.im x.re)) (-.f64 (+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 4 binary64)) #s(literal 9 binary64)) (.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))))) x.im)
(/.f64 (.f64 (-.f64 #s(literal -27 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 6 binary64))) (.f64 x.im x.re)) (-.f64 (+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)))))
(/.f64 (*.f64 x.re x.re) x.im)
(fma.f64 #s(literal -3 binary64) x.im (/.f64 (*.f64 x.re x.re) x.im))
(.f64 (-.f64 #s(literal -27 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 6 binary64))) (.f64 x.im x.re))

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 (* x.im x.re))
(* x.re (+ (* -3 x.im) (/ (pow x.re 2) x.im)))
(* -1 (pow x.re 3))
(pow x.re 2)
(* -1 x.re)
(* x.im x.re)
(* -3 (pow x.im 2))
(+ (* -3 (pow x.im 2)) (pow x.re 2))
9
(+ 9 (* 3 (/ (pow x.re 2) (pow x.im 2))))
(+ 9 (* (pow x.re 2) (+ (* 3 (/ 1 (pow x.im 2))) (/ (pow x.re 2) (pow x.im 4)))))
(* x.re (+ (* -3 (pow x.im 2)) (* (pow x.re 2) (+ 1 (* -2/9 (/ (pow x.re 4) (pow x.im 4)))))))
(* x.re (+ (* -3 (pow x.im 2)) (* (pow x.re 2) (+ 1 (* (pow x.re 4) (- (* 2/27 (/ (pow x.re 2) (pow x.im 6))) (* 2/9 (/ 1 (pow x.im 4)))))))))
(* x.re (+ (* -3 x.im) (* (pow x.re 2) (+ (* -2/9 (/ (pow x.re 4) (pow x.im 5))) (/ 1 x.im)))))
(* x.re (+ (* -3 x.im) (* (pow x.re 2) (+ (* (pow x.re 4) (- (* 2/27 (/ (pow x.re 2) (pow x.im 7))) (* 2/9 (/ 1 (pow x.im 5))))) (/ 1 x.im)))))
(/ (pow x.re 2) x.im)
(* -3 x.im)
(+ (* -3 x.im) (/ (pow x.re 2) x.im))
(* -27 (* x.im x.re))
(* x.re (+ (* -27 x.im) (* -1 (/ (pow x.re 6) (pow x.im 5)))))
(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 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(/ (pow x.re 3) x.im)
(* (pow x.re 3) (+ (* -3 (/ x.im (pow x.re 2))) (/ 1 x.im)))
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(/ (pow x.re 4) (pow x.im 4))
(* (pow x.re 4) (+ (* 3 (/ 1 (* (pow x.im 2) (pow x.re 2)))) (/ 1 (pow x.im 4))))
(* (pow x.re 4) (+ (/ 1 (pow x.im 4)) (+ (/ 3 (* (pow x.im 2) (pow x.re 2))) (/ 9 (pow x.re 4)))))
(* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1))
(* (pow x.re 3) (- (+ (* -9 (/ (pow x.im 4) (pow x.re 4))) (+ (* 3 (/ (pow x.im 2) (pow x.re 2))) (* 9 (/ (pow x.im 4) (pow x.re 4))))) 1))
(* (pow x.re 3) (- (+ (* -9 (/ (pow x.im 4) (pow x.re 4))) (+ (* -1 (/ (- (* 27 (pow x.im 6)) (+ (* -27 (pow x.im 6)) (* -3 (* (pow x.im 2) (+ (* -9 (pow x.im 4)) (* 9 (pow x.im 4))))))) (pow x.re 6))) (+ (* 3 (/ (pow x.im 2) (pow x.re 2))) (* 9 (/ (pow x.im 4) (pow x.re 4)))))) 1))
(* -1 (/ (pow x.re 3) x.im))
(* (pow x.re 3) (- (* 3 (/ x.im (pow x.re 2))) (/ 1 x.im)))
(* (pow x.re 3) (- (+ (* -9 (/ (pow x.im 3) (pow x.re 4))) (+ (* 3 (/ x.im (pow x.re 2))) (* 9 (/ (pow x.im 3) (pow x.re 4))))) (/ 1 x.im)))
(* (pow x.re 3) (- (+ (* -9 (/ (pow x.im 3) (pow x.re 4))) (+ (* -1 (/ (- (* 27 (pow x.im 5)) (+ (* -27 (pow x.im 5)) (* -3 (* (pow x.im 2) (+ (* -9 (pow x.im 3)) (* 9 (pow x.im 3))))))) (pow x.re 6))) (+ (* 3 (/ x.im (pow x.re 2))) (* 9 (/ (pow x.im 3) (pow x.re 4)))))) (/ 1 x.im)))
(* (pow x.re 2) (+ (* -3 (/ x.im (pow x.re 2))) (/ 1 x.im)))
(* -1 (/ (pow x.re 7) (pow x.im 5)))
(* (pow x.re 7) (- (* -27 (/ x.im (pow x.re 6))) (/ 1 (pow x.im 5))))
(* -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 (/ x.im (pow x.re 2))) (/ 1 x.im))))
(* -1 (* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2))))))
(* -1 (* (pow x.re 3) (- (+ 1 (* -1 (/ (+ (* -9 (pow x.im 4)) (* 9 (pow x.im 4))) (pow x.re 4)))) (* 3 (/ (pow x.im 2) (pow x.re 2))))))
(* -1 (* (pow x.re 3) (- (+ 1 (* 27 (/ (pow x.im 6) (pow x.re 6)))) (+ (* -27 (/ (pow x.im 6) (pow x.re 6))) (+ (* -9 (/ (pow x.im 4) (pow x.re 4))) (+ (* -3 (/ (* (pow x.im 2) (+ (* -9 (pow x.im 4)) (* 9 (pow x.im 4)))) (pow x.re 6))) (+ (* 3 (/ (pow x.im 2) (pow x.re 2))) (* 9 (/ (pow x.im 4) (pow x.re 4))))))))))
(* -1 (* (pow x.re 3) (+ (* -3 (/ x.im (pow x.re 2))) (/ 1 x.im))))
(* -1 (* (pow x.re 3) (- (+ (* -1 (/ (+ (* -9 (pow x.im 3)) (* 9 (pow x.im 3))) (pow x.re 4))) (/ 1 x.im)) (* 3 (/ x.im (pow x.re 2))))))
(* -1 (* (pow x.re 3) (- (+ (* 27 (/ (pow x.im 5) (pow x.re 6))) (/ 1 x.im)) (+ (* -27 (/ (pow x.im 5) (pow x.re 6))) (+ (* -9 (/ (pow x.im 3) (pow x.re 4))) (+ (* -3 (/ (* (pow x.im 2) (+ (* -9 (pow x.im 3)) (* 9 (pow x.im 3)))) (pow x.re 6))) (+ (* 3 (/ x.im (pow x.re 2))) (* 9 (/ (pow x.im 3) (pow x.re 4))))))))))
(* -1 (* (pow x.re 7) (+ (* 27 (/ x.im (pow x.re 6))) (/ 1 (pow x.im 5)))))
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(/ (+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3)) x.im)
(/ (+ (* 3 (* (pow x.im 2) (pow x.re 2))) (pow x.re 4)) (pow x.im 4))
(/ (+ (* (pow x.im 2) (- (* 9 (pow x.im 2)) (* -3 (pow x.re 2)))) (pow x.re 4)) (pow x.im 4))
(+ (* -1 (pow x.re 3)) (* 3 (* (pow x.im 2) x.re)))
(+ (* -1 (pow x.re 3)) (* (pow x.im 2) (+ (* -54 (/ (pow x.im 4) (pow x.re 3))) (* 3 x.re))))
(+ (* -1 (pow x.re 3)) (* (pow x.im 2) (+ (* 3 x.re) (* (pow x.im 4) (- (* 162 (/ (pow x.im 2) (pow x.re 5))) (* 54 (/ 1 (pow x.re 3))))))))
(/ (+ (* -1 (pow x.re 3)) (* 3 (* (pow x.im 2) x.re))) x.im)
(/ (+ (* -1 (pow x.re 3)) (* (pow x.im 2) (+ (* -54 (/ (pow x.im 4) (pow x.re 3))) (* 3 x.re)))) x.im)
(/ (+ (* -1 (pow x.re 3)) (* (pow x.im 2) (+ (* 3 x.re) (* (pow x.im 4) (- (* 162 (/ (pow x.im 2) (pow x.re 5))) (* 54 (/ 1 (pow x.re 3)))))))) x.im)
(/ (+ (* -3 (pow x.im 2)) (pow x.re 2)) x.im)
(/ (+ (* -27 (* (pow x.im 6) x.re)) (* -1 (pow x.re 7))) (pow x.im 5))
(* (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))))
(* x.im (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))
(- (+ 9 (/ (pow x.re 4) (pow x.im 4))) (* -3 (/ (pow x.re 2) (pow x.im 2))))
(* (pow x.im 2) (+ (* -3 x.re) (+ (* -1/3 (/ (pow x.re 5) (pow x.im 4))) (+ (* 1/3 (/ (pow x.re 5) (pow x.im 4))) (/ (pow x.re 3) (pow x.im 2))))))
(* (pow x.im 2) (+ (* -3 x.re) (+ (* -1 (/ (- (* 1/9 (pow x.re 7)) (+ (* -1/3 (* (pow x.re 2) (+ (* -1/3 (pow x.re 5)) (* 1/3 (pow x.re 5))))) (* -1/9 (pow x.re 7)))) (pow x.im 6))) (+ (* -1/3 (/ (pow x.re 5) (pow x.im 4))) (+ (* 1/3 (/ (pow x.re 5) (pow x.im 4))) (/ (pow x.re 3) (pow x.im 2)))))))
(* x.im (+ (* -3 x.re) (+ (* -1/3 (/ (pow x.re 5) (pow x.im 4))) (+ (* 1/3 (/ (pow x.re 5) (pow x.im 4))) (/ (pow x.re 3) (pow x.im 2))))))
(* x.im (+ (* -3 x.re) (+ (* -1 (/ (- (* 1/9 (pow x.re 7)) (+ (* -1/3 (* (pow x.re 2) (+ (* -1/3 (pow x.re 5)) (* 1/3 (pow x.re 5))))) (* -1/9 (pow x.re 7)))) (pow x.im 6))) (+ (* -1/3 (/ (pow x.re 5) (pow x.im 4))) (+ (* 1/3 (/ (pow x.re 5) (pow x.im 4))) (/ (pow x.re 3) (pow x.im 2)))))))
(* x.im (- (/ (pow x.re 2) (pow x.im 2)) 3))
(* x.im (+ (* -27 x.re) (* -1 (/ (pow x.re 7) (pow x.im 6)))))
(* -1 (* x.im (+ (* -1 (/ (pow x.re 3) (pow x.im 2))) (* 3 x.re))))
(* -1 (* x.im (- (+ (* -1 (/ (+ (* -1/3 (pow x.re 5)) (* 1/3 (pow x.re 5))) (pow x.im 4))) (* 3 x.re)) (/ (pow x.re 3) (pow x.im 2)))))
(* -1 (* x.im (- (+ (* 1/9 (/ (pow x.re 7) (pow x.im 6))) (* 3 x.re)) (+ (* -1/3 (/ (* (pow x.re 2) (+ (* -1/3 (pow x.re 5)) (* 1/3 (pow x.re 5)))) (pow x.im 6))) (+ (* -1/3 (/ (pow x.re 5) (pow x.im 4))) (+ (* -1/9 (/ (pow x.re 7) (pow x.im 6))) (+ (* 1/3 (/ (pow x.re 5) (pow x.im 4))) (/ (pow x.re 3) (pow x.im 2)))))))))
(* -1 (* x.im (+ 3 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* x.im (+ (* 27 x.re) (/ (pow x.re 7) (pow x.im 6)))))

Calls

6 calls:

Time	Variable		Point	Expression
37.0ms	x.re	@	0	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) x.im) (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) (* (+ (* -3 x.im) (/ (* x.re x.re) x.im)) x.re) (* (* x.re x.re) (neg 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) (neg x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* x.im x.re) -3) x.im) (* (* x.im x.re) -3) (* x.im x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* x.re x.re) (* (* x.im x.im) -3)) x.re) (+ (* x.re x.re) (* (* x.im x.im) -3)) (* (* x.im x.im) -3) (- (+ (pow (/ x.re x.im) 4) 9) (* -3 (pow (/ x.re x.im) 2))) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (/ (* (- -27 (pow (/ x.re x.im) 6)) (* x.im x.re)) (- (+ (pow (/ x.re x.im) 4) 9) (* -3 (pow (/ x.re x.im) 2)))) x.im) (/ (* (- -27 (pow (/ x.re x.im) 6)) (* x.im x.re)) (- (+ (pow (/ x.re x.im) 4) 9) (* -3 (pow (/ x.re x.im) 2)))) (/ (* x.re x.re) x.im) (+ (* -3 x.im) (/ (* x.re x.re) x.im)) (* (- -27 (pow (/ x.re x.im) 6)) (* x.im x.re)))
11.0ms	x.im	@	-inf	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) x.im) (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) (* (+ (* -3 x.im) (/ (* x.re x.re) x.im)) x.re) (* (* x.re x.re) (neg 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) (neg x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* x.im x.re) -3) x.im) (* (* x.im x.re) -3) (* x.im x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* x.re x.re) (* (* x.im x.im) -3)) x.re) (+ (* x.re x.re) (* (* x.im x.im) -3)) (* (* x.im x.im) -3) (- (+ (pow (/ x.re x.im) 4) 9) (* -3 (pow (/ x.re x.im) 2))) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (/ (* (- -27 (pow (/ x.re x.im) 6)) (* x.im x.re)) (- (+ (pow (/ x.re x.im) 4) 9) (* -3 (pow (/ x.re x.im) 2)))) x.im) (/ (* (- -27 (pow (/ x.re x.im) 6)) (* x.im x.re)) (- (+ (pow (/ x.re x.im) 4) 9) (* -3 (pow (/ x.re x.im) 2)))) (/ (* x.re x.re) x.im) (+ (* -3 x.im) (/ (* x.re x.re) x.im)) (* (- -27 (pow (/ x.re x.im) 6)) (* x.im x.re)))
8.0ms	x.re	@	inf	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) x.im) (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) (* (+ (* -3 x.im) (/ (* x.re x.re) x.im)) x.re) (* (* x.re x.re) (neg 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) (neg x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* x.im x.re) -3) x.im) (* (* x.im x.re) -3) (* x.im x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* x.re x.re) (* (* x.im x.im) -3)) x.re) (+ (* x.re x.re) (* (* x.im x.im) -3)) (* (* x.im x.im) -3) (- (+ (pow (/ x.re x.im) 4) 9) (* -3 (pow (/ x.re x.im) 2))) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (/ (* (- -27 (pow (/ x.re x.im) 6)) (* x.im x.re)) (- (+ (pow (/ x.re x.im) 4) 9) (* -3 (pow (/ x.re x.im) 2)))) x.im) (/ (* (- -27 (pow (/ x.re x.im) 6)) (* x.im x.re)) (- (+ (pow (/ x.re x.im) 4) 9) (* -3 (pow (/ x.re x.im) 2)))) (/ (* x.re x.re) x.im) (+ (* -3 x.im) (/ (* x.re x.re) x.im)) (* (- -27 (pow (/ x.re x.im) 6)) (* x.im x.re)))
7.0ms	x.re	@	-inf	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) x.im) (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) (* (+ (* -3 x.im) (/ (* x.re x.re) x.im)) x.re) (* (* x.re x.re) (neg 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) (neg x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* x.im x.re) -3) x.im) (* (* x.im x.re) -3) (* x.im x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* x.re x.re) (* (* x.im x.im) -3)) x.re) (+ (* x.re x.re) (* (* x.im x.im) -3)) (* (* x.im x.im) -3) (- (+ (pow (/ x.re x.im) 4) 9) (* -3 (pow (/ x.re x.im) 2))) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (/ (* (- -27 (pow (/ x.re x.im) 6)) (* x.im x.re)) (- (+ (pow (/ x.re x.im) 4) 9) (* -3 (pow (/ x.re x.im) 2)))) x.im) (/ (* (- -27 (pow (/ x.re x.im) 6)) (* x.im x.re)) (- (+ (pow (/ x.re x.im) 4) 9) (* -3 (pow (/ x.re x.im) 2)))) (/ (* x.re x.re) x.im) (+ (* -3 x.im) (/ (* x.re x.re) x.im)) (* (- -27 (pow (/ x.re x.im) 6)) (* x.im x.re)))
6.0ms	x.im	@	0	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) x.im) (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) (* (+ (* -3 x.im) (/ (* x.re x.re) x.im)) x.re) (* (* x.re x.re) (neg 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) (neg x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* x.im x.re) -3) x.im) (* (* x.im x.re) -3) (* x.im x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* x.re x.re) (* (* x.im x.im) -3)) x.re) (+ (* x.re x.re) (* (* x.im x.im) -3)) (* (* x.im x.im) -3) (- (+ (pow (/ x.re x.im) 4) 9) (* -3 (pow (/ x.re x.im) 2))) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (/ (* (- -27 (pow (/ x.re x.im) 6)) (* x.im x.re)) (- (+ (pow (/ x.re x.im) 4) 9) (* -3 (pow (/ x.re x.im) 2)))) x.im) (/ (* (- -27 (pow (/ x.re x.im) 6)) (* x.im x.re)) (- (+ (pow (/ x.re x.im) 4) 9) (* -3 (pow (/ x.re x.im) 2)))) (/ (* x.re x.re) x.im) (+ (* -3 x.im) (/ (* x.re x.re) x.im)) (* (- -27 (pow (/ x.re x.im) 6)) (* x.im x.re)))

simplify157.0ms (2.5%)

Memory

11.0MiB live, 165.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	350	1566
1	1123	1373
2	4572	1229
0	8913	1168

Stop Event

1×	iter limit
1×	node limit

Counts

83 → 83

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 (* x.im x.re))
(* x.re (+ (* -3 x.im) (/ (pow x.re 2) x.im)))
(* -1 (pow x.re 3))
(pow x.re 2)
(* -1 x.re)
(* x.im x.re)
(* -3 (pow x.im 2))
(+ (* -3 (pow x.im 2)) (pow x.re 2))
9
(+ 9 (* 3 (/ (pow x.re 2) (pow x.im 2))))
(+ 9 (* (pow x.re 2) (+ (* 3 (/ 1 (pow x.im 2))) (/ (pow x.re 2) (pow x.im 4)))))
(* x.re (+ (* -3 (pow x.im 2)) (* (pow x.re 2) (+ 1 (* -2/9 (/ (pow x.re 4) (pow x.im 4)))))))
(* x.re (+ (* -3 (pow x.im 2)) (* (pow x.re 2) (+ 1 (* (pow x.re 4) (- (* 2/27 (/ (pow x.re 2) (pow x.im 6))) (* 2/9 (/ 1 (pow x.im 4)))))))))
(* x.re (+ (* -3 x.im) (* (pow x.re 2) (+ (* -2/9 (/ (pow x.re 4) (pow x.im 5))) (/ 1 x.im)))))
(* x.re (+ (* -3 x.im) (* (pow x.re 2) (+ (* (pow x.re 4) (- (* 2/27 (/ (pow x.re 2) (pow x.im 7))) (* 2/9 (/ 1 (pow x.im 5))))) (/ 1 x.im)))))
(/ (pow x.re 2) x.im)
(* -3 x.im)
(+ (* -3 x.im) (/ (pow x.re 2) x.im))
(* -27 (* x.im x.re))
(* x.re (+ (* -27 x.im) (* -1 (/ (pow x.re 6) (pow x.im 5)))))
(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 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(/ (pow x.re 3) x.im)
(* (pow x.re 3) (+ (* -3 (/ x.im (pow x.re 2))) (/ 1 x.im)))
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(/ (pow x.re 4) (pow x.im 4))
(* (pow x.re 4) (+ (* 3 (/ 1 (* (pow x.im 2) (pow x.re 2)))) (/ 1 (pow x.im 4))))
(* (pow x.re 4) (+ (/ 1 (pow x.im 4)) (+ (/ 3 (* (pow x.im 2) (pow x.re 2))) (/ 9 (pow x.re 4)))))
(* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1))
(* (pow x.re 3) (- (+ (* -9 (/ (pow x.im 4) (pow x.re 4))) (+ (* 3 (/ (pow x.im 2) (pow x.re 2))) (* 9 (/ (pow x.im 4) (pow x.re 4))))) 1))
(* (pow x.re 3) (- (+ (* -9 (/ (pow x.im 4) (pow x.re 4))) (+ (* -1 (/ (- (* 27 (pow x.im 6)) (+ (* -27 (pow x.im 6)) (* -3 (* (pow x.im 2) (+ (* -9 (pow x.im 4)) (* 9 (pow x.im 4))))))) (pow x.re 6))) (+ (* 3 (/ (pow x.im 2) (pow x.re 2))) (* 9 (/ (pow x.im 4) (pow x.re 4)))))) 1))
(* -1 (/ (pow x.re 3) x.im))
(* (pow x.re 3) (- (* 3 (/ x.im (pow x.re 2))) (/ 1 x.im)))
(* (pow x.re 3) (- (+ (* -9 (/ (pow x.im 3) (pow x.re 4))) (+ (* 3 (/ x.im (pow x.re 2))) (* 9 (/ (pow x.im 3) (pow x.re 4))))) (/ 1 x.im)))
(* (pow x.re 3) (- (+ (* -9 (/ (pow x.im 3) (pow x.re 4))) (+ (* -1 (/ (- (* 27 (pow x.im 5)) (+ (* -27 (pow x.im 5)) (* -3 (* (pow x.im 2) (+ (* -9 (pow x.im 3)) (* 9 (pow x.im 3))))))) (pow x.re 6))) (+ (* 3 (/ x.im (pow x.re 2))) (* 9 (/ (pow x.im 3) (pow x.re 4)))))) (/ 1 x.im)))
(* (pow x.re 2) (+ (* -3 (/ x.im (pow x.re 2))) (/ 1 x.im)))
(* -1 (/ (pow x.re 7) (pow x.im 5)))
(* (pow x.re 7) (- (* -27 (/ x.im (pow x.re 6))) (/ 1 (pow x.im 5))))
(* -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 (/ x.im (pow x.re 2))) (/ 1 x.im))))
(* -1 (* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2))))))
(* -1 (* (pow x.re 3) (- (+ 1 (* -1 (/ (+ (* -9 (pow x.im 4)) (* 9 (pow x.im 4))) (pow x.re 4)))) (* 3 (/ (pow x.im 2) (pow x.re 2))))))
(* -1 (* (pow x.re 3) (- (+ 1 (* 27 (/ (pow x.im 6) (pow x.re 6)))) (+ (* -27 (/ (pow x.im 6) (pow x.re 6))) (+ (* -9 (/ (pow x.im 4) (pow x.re 4))) (+ (* -3 (/ (* (pow x.im 2) (+ (* -9 (pow x.im 4)) (* 9 (pow x.im 4)))) (pow x.re 6))) (+ (* 3 (/ (pow x.im 2) (pow x.re 2))) (* 9 (/ (pow x.im 4) (pow x.re 4))))))))))
(* -1 (* (pow x.re 3) (+ (* -3 (/ x.im (pow x.re 2))) (/ 1 x.im))))
(* -1 (* (pow x.re 3) (- (+ (* -1 (/ (+ (* -9 (pow x.im 3)) (* 9 (pow x.im 3))) (pow x.re 4))) (/ 1 x.im)) (* 3 (/ x.im (pow x.re 2))))))
(* -1 (* (pow x.re 3) (- (+ (* 27 (/ (pow x.im 5) (pow x.re 6))) (/ 1 x.im)) (+ (* -27 (/ (pow x.im 5) (pow x.re 6))) (+ (* -9 (/ (pow x.im 3) (pow x.re 4))) (+ (* -3 (/ (* (pow x.im 2) (+ (* -9 (pow x.im 3)) (* 9 (pow x.im 3)))) (pow x.re 6))) (+ (* 3 (/ x.im (pow x.re 2))) (* 9 (/ (pow x.im 3) (pow x.re 4))))))))))
(* -1 (* (pow x.re 7) (+ (* 27 (/ x.im (pow x.re 6))) (/ 1 (pow x.im 5)))))
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(/ (+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3)) x.im)
(/ (+ (* 3 (* (pow x.im 2) (pow x.re 2))) (pow x.re 4)) (pow x.im 4))
(/ (+ (* (pow x.im 2) (- (* 9 (pow x.im 2)) (* -3 (pow x.re 2)))) (pow x.re 4)) (pow x.im 4))
(+ (* -1 (pow x.re 3)) (* 3 (* (pow x.im 2) x.re)))
(+ (* -1 (pow x.re 3)) (* (pow x.im 2) (+ (* -54 (/ (pow x.im 4) (pow x.re 3))) (* 3 x.re))))
(+ (* -1 (pow x.re 3)) (* (pow x.im 2) (+ (* 3 x.re) (* (pow x.im 4) (- (* 162 (/ (pow x.im 2) (pow x.re 5))) (* 54 (/ 1 (pow x.re 3))))))))
(/ (+ (* -1 (pow x.re 3)) (* 3 (* (pow x.im 2) x.re))) x.im)
(/ (+ (* -1 (pow x.re 3)) (* (pow x.im 2) (+ (* -54 (/ (pow x.im 4) (pow x.re 3))) (* 3 x.re)))) x.im)
(/ (+ (* -1 (pow x.re 3)) (* (pow x.im 2) (+ (* 3 x.re) (* (pow x.im 4) (- (* 162 (/ (pow x.im 2) (pow x.re 5))) (* 54 (/ 1 (pow x.re 3)))))))) x.im)
(/ (+ (* -3 (pow x.im 2)) (pow x.re 2)) x.im)
(/ (+ (* -27 (* (pow x.im 6) x.re)) (* -1 (pow x.re 7))) (pow x.im 5))
(* (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))))
(* x.im (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))
(- (+ 9 (/ (pow x.re 4) (pow x.im 4))) (* -3 (/ (pow x.re 2) (pow x.im 2))))
(* (pow x.im 2) (+ (* -3 x.re) (+ (* -1/3 (/ (pow x.re 5) (pow x.im 4))) (+ (* 1/3 (/ (pow x.re 5) (pow x.im 4))) (/ (pow x.re 3) (pow x.im 2))))))
(* (pow x.im 2) (+ (* -3 x.re) (+ (* -1 (/ (- (* 1/9 (pow x.re 7)) (+ (* -1/3 (* (pow x.re 2) (+ (* -1/3 (pow x.re 5)) (* 1/3 (pow x.re 5))))) (* -1/9 (pow x.re 7)))) (pow x.im 6))) (+ (* -1/3 (/ (pow x.re 5) (pow x.im 4))) (+ (* 1/3 (/ (pow x.re 5) (pow x.im 4))) (/ (pow x.re 3) (pow x.im 2)))))))
(* x.im (+ (* -3 x.re) (+ (* -1/3 (/ (pow x.re 5) (pow x.im 4))) (+ (* 1/3 (/ (pow x.re 5) (pow x.im 4))) (/ (pow x.re 3) (pow x.im 2))))))
(* x.im (+ (* -3 x.re) (+ (* -1 (/ (- (* 1/9 (pow x.re 7)) (+ (* -1/3 (* (pow x.re 2) (+ (* -1/3 (pow x.re 5)) (* 1/3 (pow x.re 5))))) (* -1/9 (pow x.re 7)))) (pow x.im 6))) (+ (* -1/3 (/ (pow x.re 5) (pow x.im 4))) (+ (* 1/3 (/ (pow x.re 5) (pow x.im 4))) (/ (pow x.re 3) (pow x.im 2)))))))
(* x.im (- (/ (pow x.re 2) (pow x.im 2)) 3))
(* x.im (+ (* -27 x.re) (* -1 (/ (pow x.re 7) (pow x.im 6)))))
(* -1 (* x.im (+ (* -1 (/ (pow x.re 3) (pow x.im 2))) (* 3 x.re))))
(* -1 (* x.im (- (+ (* -1 (/ (+ (* -1/3 (pow x.re 5)) (* 1/3 (pow x.re 5))) (pow x.im 4))) (* 3 x.re)) (/ (pow x.re 3) (pow x.im 2)))))
(* -1 (* x.im (- (+ (* 1/9 (/ (pow x.re 7) (pow x.im 6))) (* 3 x.re)) (+ (* -1/3 (/ (* (pow x.re 2) (+ (* -1/3 (pow x.re 5)) (* 1/3 (pow x.re 5)))) (pow x.im 6))) (+ (* -1/3 (/ (pow x.re 5) (pow x.im 4))) (+ (* -1/9 (/ (pow x.re 7) (pow x.im 6))) (+ (* 1/3 (/ (pow x.re 5) (pow x.im 4))) (/ (pow x.re 3) (pow x.im 2)))))))))
(* -1 (* x.im (+ 3 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* x.im (+ (* 27 x.re) (/ (pow x.re 7) (pow x.im 6)))))

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)) (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)
(* 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)
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(.f64 (.f64 x.re (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -3 binary64))) x.im)
(* x.im (+ (* -3 x.re) (+ (* -1 (/ (- (* 1/9 (pow x.re 7)) (+ (* -1/3 (* (pow x.re 2) (+ (* -1/3 (pow x.re 5)) (* 1/3 (pow x.re 5))))) (* -1/9 (pow x.re 7)))) (pow x.im 6))) (+ (* -1/3 (/ (pow x.re 5) (pow x.im 4))) (+ (* 1/3 (/ (pow x.re 5) (pow x.im 4))) (/ (pow x.re 3) (pow x.im 2)))))))
(.f64 (-.f64 (.f64 x.re (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -3 binary64))) (/.f64 (-.f64 (*.f64 (pow.f64 x.re #s(literal 7 binary64)) #s(literal 2/9 binary64)) #s(literal 0 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) x.im)
(* x.im (- (/ (pow x.re 2) (pow x.im 2)) 3))
(.f64 (-.f64 (/.f64 (/.f64 (.f64 x.re x.re) x.im) x.im) #s(literal 3 binary64)) x.im)
(* x.im (+ (* -27 x.re) (* -1 (/ (pow x.re 7) (pow x.im 6)))))
(*.f64 (neg.f64 x.im) (fma.f64 #s(literal 27 binary64) x.re (/.f64 (pow.f64 x.re #s(literal 7 binary64)) (pow.f64 x.im #s(literal 6 binary64)))))
(* -1 (* x.im (+ (* -1 (/ (pow x.re 3) (pow x.im 2))) (* 3 x.re))))
(.f64 (.f64 x.re (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -3 binary64))) x.im)
(* -1 (* x.im (- (+ (* -1 (/ (+ (* -1/3 (pow x.re 5)) (* 1/3 (pow x.re 5))) (pow x.im 4))) (* 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))) x.im)
(* -1 (* x.im (- (+ (* 1/9 (/ (pow x.re 7) (pow x.im 6))) (* 3 x.re)) (+ (* -1/3 (/ (* (pow x.re 2) (+ (* -1/3 (pow x.re 5)) (* 1/3 (pow x.re 5)))) (pow x.im 6))) (+ (* -1/3 (/ (pow x.re 5) (pow x.im 4))) (+ (* -1/9 (/ (pow x.re 7) (pow x.im 6))) (+ (* 1/3 (/ (pow x.re 5) (pow x.im 4))) (/ (pow x.re 3) (pow x.im 2)))))))))
(.f64 (neg.f64 x.im) (fma.f64 (/.f64 (pow.f64 x.re #s(literal 7 binary64)) (pow.f64 x.im #s(literal 6 binary64))) #s(literal 1/9 binary64) (-.f64 (.f64 #s(literal 3 binary64) x.re) (fma.f64 (/.f64 (pow.f64 x.re #s(literal 7 binary64)) (pow.f64 x.im #s(literal 6 binary64))) #s(literal -1/9 binary64) (-.f64 (/.f64 (/.f64 (pow.f64 x.re #s(literal 3 binary64)) x.im) x.im) #s(literal 0 binary64))))))
(* -1 (* x.im (+ 3 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(*.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -3 binary64)) x.im)
(* -1 (* x.im (+ (* 27 x.re) (/ (pow x.re 7) (pow x.im 6)))))
(*.f64 (neg.f64 x.im) (fma.f64 #s(literal 27 binary64) x.re (/.f64 (pow.f64 x.re #s(literal 7 binary64)) (pow.f64 x.im #s(literal 6 binary64)))))

rewrite178.0ms (2.8%)

Memory

1.9MiB live, 266.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	376
0	78	376
1	284	352
2	1899	350
0	8492	341

Stop Event

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

Counts

23 → 351

Calls

Call 1

Inputs
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx ( (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) (.f64 (fma.f64 #s(literal -3 binary64) x.im (/.f64 (.f64 x.re x.re) x.im)) x.re)) x.im))
(.f64 #s(approx ( (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) (.f64 (fma.f64 #s(literal -3 binary64) x.im (/.f64 (.f64 x.re x.re) x.im)) x.re)) x.im)
#s(approx (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) (.f64 (fma.f64 #s(literal -3 binary64) x.im (/.f64 (.f64 x.re x.re) x.im)) x.re))
(.f64 (fma.f64 #s(literal -3 binary64) x.im (/.f64 (.f64 x.re x.re) x.im)) x.re)
(.f64 (.f64 x.re x.re) (neg.f64 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 x.re) (neg.f64 x.re)))
(*.f64 x.re x.re)
(neg.f64 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.re) #s(literal -3 binary64)) x.im))
(.f64 (.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)
#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 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))
(-.f64 (+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (/.f64 (.f64 (-.f64 #s(literal -27 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 6 binary64))) (.f64 x.im x.re)) (-.f64 (+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 4 binary64)) #s(literal 9 binary64)) (.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))))) x.im))
(.f64 (/.f64 (.f64 (-.f64 #s(literal -27 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 6 binary64))) (.f64 x.im x.re)) (-.f64 (+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 4 binary64)) #s(literal 9 binary64)) (.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))))) x.im)
(/.f64 (.f64 (-.f64 #s(literal -27 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 6 binary64))) (.f64 x.im x.re)) (-.f64 (+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)))))
(/.f64 (*.f64 x.re x.re) x.im)
(fma.f64 #s(literal -3 binary64) x.im (/.f64 (*.f64 x.re x.re) x.im))
(.f64 (-.f64 #s(literal -27 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 6 binary64))) (.f64 x.im x.re))

Outputs
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx ( (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) (.f64 (fma.f64 #s(literal -3 binary64) x.im (/.f64 (.f64 x.re x.re) x.im)) x.re)) x.im))
(.f64 #s(approx ( (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) (.f64 (fma.f64 #s(literal -3 binary64) x.im (/.f64 (.f64 x.re x.re) x.im)) x.re)) x.im)
(.f64 x.im #s(approx ( (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) (.f64 (fma.f64 #s(literal -3 binary64) x.im (/.f64 (.f64 x.re x.re) x.im)) x.re)))
#s(approx (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) (.f64 (fma.f64 #s(literal -3 binary64) x.im (/.f64 (.f64 x.re x.re) x.im)) x.re))
(.f64 (fma.f64 #s(literal -3 binary64) x.im (/.f64 (.f64 x.re x.re) x.im)) x.re)
(.f64 x.re (fma.f64 #s(literal -3 binary64) x.im (/.f64 (.f64 x.re x.re) x.im)))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 (.f64 x.re x.re) x.im) x.re) (.f64 (/.f64 (.f64 x.re x.re) x.im) x.re)) (.f64 (.f64 (.f64 x.im x.re) #s(literal -3 binary64)) (.f64 (.f64 x.im x.re) #s(literal -3 binary64)))) (-.f64 (.f64 (/.f64 (.f64 x.re x.re) x.im) x.re) (.f64 (.f64 x.im x.re) #s(literal -3 binary64))))
(/.f64 (-.f64 (.f64 (.f64 x.re (/.f64 (.f64 x.re x.re) x.im)) (.f64 x.re (/.f64 (.f64 x.re x.re) x.im))) (.f64 (.f64 (.f64 x.im x.re) #s(literal -3 binary64)) (.f64 (.f64 x.im x.re) #s(literal -3 binary64)))) (-.f64 (.f64 x.re (/.f64 (.f64 x.re x.re) x.im)) (.f64 (.f64 x.im x.re) #s(literal -3 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x.im x.re) #s(literal -3 binary64)) (.f64 (.f64 x.im x.re) #s(literal -3 binary64))) (.f64 (.f64 (/.f64 (.f64 x.re x.re) x.im) x.re) (.f64 (/.f64 (.f64 x.re x.re) x.im) x.re))) (-.f64 (.f64 (.f64 x.im x.re) #s(literal -3 binary64)) (.f64 (/.f64 (.f64 x.re x.re) x.im) x.re)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x.im x.re) #s(literal -3 binary64)) (.f64 (.f64 x.im x.re) #s(literal -3 binary64))) (.f64 (.f64 x.re (/.f64 (.f64 x.re x.re) x.im)) (.f64 x.re (/.f64 (.f64 x.re x.re) x.im)))) (-.f64 (.f64 (.f64 x.im x.re) #s(literal -3 binary64)) (.f64 x.re (/.f64 (.f64 x.re x.re) x.im))))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 (.f64 x.re x.re) x.im) x.re) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x.im x.re) #s(literal -3 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 (.f64 x.re x.re) x.im) x.re) (.f64 (/.f64 (.f64 x.re x.re) x.im) x.re) (-.f64 (.f64 (.f64 (.f64 x.im x.re) #s(literal -3 binary64)) (.f64 (.f64 x.im x.re) #s(literal -3 binary64))) (.f64 (.f64 (/.f64 (.f64 x.re x.re) x.im) x.re) (.f64 (.f64 x.im x.re) #s(literal -3 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 x.re (/.f64 (.f64 x.re x.re) x.im)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x.im x.re) #s(literal -3 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 x.re (/.f64 (.f64 x.re x.re) x.im)) (.f64 x.re (/.f64 (.f64 x.re x.re) x.im)) (-.f64 (.f64 (.f64 (.f64 x.im x.re) #s(literal -3 binary64)) (.f64 (.f64 x.im x.re) #s(literal -3 binary64))) (.f64 (.f64 x.re (/.f64 (.f64 x.re x.re) x.im)) (.f64 (.f64 x.im x.re) #s(literal -3 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x.im x.re) #s(literal -3 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (.f64 x.re x.re) x.im) x.re) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 x.im x.re) #s(literal -3 binary64)) (.f64 (.f64 x.im x.re) #s(literal -3 binary64)) (-.f64 (.f64 (.f64 (/.f64 (.f64 x.re x.re) x.im) x.re) (.f64 (/.f64 (.f64 x.re x.re) x.im) x.re)) (.f64 (.f64 (.f64 x.im x.re) #s(literal -3 binary64)) (.f64 (/.f64 (.f64 x.re x.re) x.im) x.re)))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x.im x.re) #s(literal -3 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 x.re (/.f64 (.f64 x.re x.re) x.im)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 x.im x.re) #s(literal -3 binary64)) (.f64 (.f64 x.im x.re) #s(literal -3 binary64)) (-.f64 (.f64 (.f64 x.re (/.f64 (.f64 x.re x.re) x.im)) (.f64 x.re (/.f64 (.f64 x.re x.re) x.im))) (.f64 (.f64 (.f64 x.im x.re) #s(literal -3 binary64)) (.f64 x.re (/.f64 (.f64 x.re x.re) x.im))))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 #s(literal 9 binary64) (.f64 x.im x.im)) (pow.f64 (/.f64 (.f64 x.re x.re) x.im) #s(literal 2 binary64))) x.re)) (neg.f64 (-.f64 (.f64 #s(literal -3 binary64) x.im) (/.f64 (.f64 x.re x.re) x.im))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 x.im #s(literal 3 binary64)) #s(literal -27 binary64) (pow.f64 (/.f64 (.f64 x.re x.re) x.im) #s(literal 3 binary64))) x.re)) (neg.f64 (fma.f64 #s(literal 9 binary64) (.f64 x.im x.im) (.f64 (/.f64 (.f64 x.re x.re) x.im) (-.f64 (/.f64 (.f64 x.re x.re) x.im) (*.f64 #s(literal -3 binary64) x.im))))))
(/.f64 (neg.f64 (.f64 x.re (-.f64 (.f64 #s(literal 9 binary64) (.f64 x.im x.im)) (pow.f64 (/.f64 (.f64 x.re x.re) x.im) #s(literal 2 binary64))))) (neg.f64 (-.f64 (.f64 #s(literal -3 binary64) x.im) (/.f64 (.f64 x.re x.re) x.im))))
(/.f64 (neg.f64 (.f64 x.re (fma.f64 (pow.f64 x.im #s(literal 3 binary64)) #s(literal -27 binary64) (pow.f64 (/.f64 (.f64 x.re x.re) x.im) #s(literal 3 binary64))))) (neg.f64 (fma.f64 #s(literal 9 binary64) (.f64 x.im x.im) (.f64 (/.f64 (.f64 x.re x.re) x.im) (-.f64 (/.f64 (.f64 x.re x.re) x.im) (*.f64 #s(literal -3 binary64) x.im))))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 9 binary64) (.f64 x.im x.im)) (pow.f64 (/.f64 (.f64 x.re x.re) x.im) #s(literal 2 binary64))) x.re) (-.f64 (.f64 #s(literal -3 binary64) x.im) (/.f64 (.f64 x.re x.re) x.im)))
(/.f64 (.f64 (fma.f64 (pow.f64 x.im #s(literal 3 binary64)) #s(literal -27 binary64) (pow.f64 (/.f64 (.f64 x.re x.re) x.im) #s(literal 3 binary64))) x.re) (fma.f64 #s(literal 9 binary64) (.f64 x.im x.im) (.f64 (/.f64 (.f64 x.re x.re) x.im) (-.f64 (/.f64 (.f64 x.re x.re) x.im) (*.f64 #s(literal -3 binary64) x.im)))))
(/.f64 (.f64 x.re (-.f64 (.f64 #s(literal 9 binary64) (.f64 x.im x.im)) (pow.f64 (/.f64 (.f64 x.re x.re) x.im) #s(literal 2 binary64)))) (-.f64 (.f64 #s(literal -3 binary64) x.im) (/.f64 (.f64 x.re x.re) x.im)))
(/.f64 (.f64 x.re (fma.f64 (pow.f64 x.im #s(literal 3 binary64)) #s(literal -27 binary64) (pow.f64 (/.f64 (.f64 x.re x.re) x.im) #s(literal 3 binary64)))) (fma.f64 #s(literal 9 binary64) (.f64 x.im x.im) (.f64 (/.f64 (.f64 x.re x.re) x.im) (-.f64 (/.f64 (.f64 x.re x.re) x.im) (*.f64 #s(literal -3 binary64) x.im)))))
(fma.f64 (.f64 #s(literal -3 binary64) x.re) x.im (.f64 (/.f64 (*.f64 x.re x.re) x.im) x.re))
(fma.f64 (.f64 #s(literal -3 binary64) x.re) x.im (.f64 x.re (/.f64 (*.f64 x.re x.re) x.im)))
(fma.f64 (.f64 #s(literal -3 binary64) x.im) x.re (.f64 (/.f64 (*.f64 x.re x.re) x.im) x.re))
(fma.f64 (.f64 #s(literal -3 binary64) x.im) x.re (.f64 x.re (/.f64 (*.f64 x.re x.re) x.im)))
(fma.f64 (.f64 x.im x.re) #s(literal -3 binary64) (.f64 (/.f64 (*.f64 x.re x.re) x.im) x.re))
(fma.f64 (.f64 x.im x.re) #s(literal -3 binary64) (.f64 x.re (/.f64 (*.f64 x.re x.re) x.im)))
(fma.f64 (/.f64 (.f64 x.re x.re) x.im) x.re (.f64 (*.f64 x.im x.re) #s(literal -3 binary64)))
(fma.f64 #s(literal -3 binary64) (.f64 x.im x.re) (.f64 (/.f64 (*.f64 x.re x.re) x.im) x.re))
(fma.f64 #s(literal -3 binary64) (.f64 x.im x.re) (.f64 x.re (/.f64 (*.f64 x.re x.re) x.im)))
(fma.f64 x.im (.f64 #s(literal -3 binary64) x.re) (.f64 (/.f64 (*.f64 x.re x.re) x.im) x.re))
(fma.f64 x.im (.f64 #s(literal -3 binary64) x.re) (.f64 x.re (/.f64 (*.f64 x.re x.re) x.im)))
(fma.f64 x.re (.f64 #s(literal -3 binary64) x.im) (.f64 (/.f64 (*.f64 x.re x.re) x.im) x.re))
(fma.f64 x.re (.f64 #s(literal -3 binary64) x.im) (.f64 x.re (/.f64 (*.f64 x.re x.re) x.im)))
(fma.f64 x.re (/.f64 (.f64 x.re x.re) x.im) (.f64 (*.f64 x.im x.re) #s(literal -3 binary64)))
(+.f64 (.f64 (/.f64 (.f64 x.re x.re) x.im) x.re) (.f64 (.f64 x.im x.re) #s(literal -3 binary64)))
(+.f64 (.f64 x.re (/.f64 (.f64 x.re x.re) x.im)) (.f64 (.f64 x.im x.re) #s(literal -3 binary64)))
(+.f64 (.f64 (.f64 x.im x.re) #s(literal -3 binary64)) (.f64 (/.f64 (.f64 x.re x.re) x.im) x.re))
(+.f64 (.f64 (.f64 x.im x.re) #s(literal -3 binary64)) (.f64 x.re (/.f64 (.f64 x.re x.re) x.im)))
(*.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 (pow.f64 (neg.f64 x.re) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 x.re) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x.re #s(literal 3/2 binary64)) (pow.f64 x.re #s(literal 3/2 binary64)))
(.f64 (.f64 (neg.f64 x.re) x.re) x.re)
(.f64 (neg.f64 x.re) (.f64 (neg.f64 x.re) x.re))
(.f64 (neg.f64 x.re) (.f64 x.re x.re))
(.f64 (.f64 x.re x.re) (neg.f64 x.re))
(.f64 (.f64 x.re x.re) x.re)
(.f64 x.re (.f64 (neg.f64 x.re) x.re))
(.f64 x.re (.f64 x.re x.re))
(pow.f64 (neg.f64 x.re) #s(literal 3 binary64))
(pow.f64 (*.f64 x.re x.re) #s(literal 3/2 binary64))
(pow.f64 x.re #s(literal 3 binary64))
(neg.f64 (pow.f64 x.re #s(literal 3 binary64)))
(fabs.f64 (pow.f64 x.re #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x.re) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 x.re) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 x.re)) #s(literal 3 binary64)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64)))
(*.f64 (neg.f64 (neg.f64 (neg.f64 x.re))) (neg.f64 (neg.f64 (neg.f64 x.re))))
(*.f64 (exp.f64 (log.f64 x.re)) (exp.f64 (log.f64 x.re)))
(*.f64 (neg.f64 (neg.f64 x.re)) (neg.f64 (neg.f64 x.re)))
(*.f64 (neg.f64 x.re) (neg.f64 x.re))
(*.f64 x.re x.re)
(pow.f64 (exp.f64 (log.f64 x.re)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 x.re)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x.re) #s(literal 2 binary64))
(pow.f64 (*.f64 x.re x.re) #s(literal 1 binary64))
(pow.f64 x.re #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x.re) x.re))
(sqrt.f64 (pow.f64 x.re #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 x.re) x.re))
(fabs.f64 (*.f64 x.re x.re))
(exp.f64 (*.f64 (log.f64 (neg.f64 x.re)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x.re) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x.re) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x.re) #s(literal 2 binary64))))
(neg.f64 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.re) #s(literal -3 binary64)) x.im))
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(fma.f64 x.im #s(literal -3 binary64) (/.f64 (*.f64 x.re x.re) x.im))
(fma.f64 x.re (/.f64 x.re x.im) (*.f64 #s(literal -3 binary64) x.im))
(-.f64 (/.f64 (pow.f64 (/.f64 (.f64 x.re x.re) x.im) #s(literal 2 binary64)) (-.f64 (/.f64 (.f64 x.re x.re) x.im) (.f64 #s(literal -3 binary64) x.im))) (/.f64 (.f64 #s(literal 9 binary64) (.f64 x.im x.im)) (-.f64 (/.f64 (.f64 x.re x.re) x.im) (*.f64 #s(literal -3 binary64) x.im))))
(-.f64 (/.f64 (.f64 #s(literal 9 binary64) (.f64 x.im x.im)) (-.f64 (.f64 #s(literal -3 binary64) x.im) (/.f64 (.f64 x.re x.re) x.im))) (/.f64 (pow.f64 (/.f64 (.f64 x.re x.re) x.im) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -3 binary64) x.im) (/.f64 (*.f64 x.re x.re) x.im))))
(-.f64 (.f64 #s(literal -3 binary64) x.im) (.f64 (neg.f64 x.re) (/.f64 x.re x.im)))
(-.f64 (/.f64 (.f64 x.re x.re) x.im) (.f64 (neg.f64 x.im) #s(literal -3 binary64)))
(-.f64 (/.f64 (.f64 x.re x.re) x.im) (.f64 #s(literal 3 binary64) x.im))
(+.f64 (/.f64 (pow.f64 (/.f64 (.f64 x.re x.re) x.im) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (.f64 x.re x.re) x.im) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 9 binary64) (.f64 x.im x.im)) (.f64 (.f64 #s(literal -3 binary64) x.im) (/.f64 (.f64 x.re x.re) x.im))))) (/.f64 (pow.f64 (.f64 #s(literal -3 binary64) x.im) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (.f64 x.re x.re) x.im) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 9 binary64) (.f64 x.im x.im)) (.f64 (.f64 #s(literal -3 binary64) x.im) (/.f64 (.f64 x.re x.re) x.im))))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal -3 binary64) x.im) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (.f64 x.re x.re) x.im) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 9 binary64) (.f64 x.im x.im)) (.f64 (.f64 #s(literal -3 binary64) x.im) (/.f64 (.f64 x.re x.re) x.im))))) (/.f64 (pow.f64 (/.f64 (.f64 x.re x.re) x.im) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (.f64 x.re x.re) x.im) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 9 binary64) (.f64 x.im x.im)) (.f64 (.f64 #s(literal -3 binary64) x.im) (/.f64 (.f64 x.re x.re) x.im))))))
(+.f64 (/.f64 (pow.f64 (/.f64 (.f64 x.re x.re) x.im) #s(literal 3 binary64)) (fma.f64 #s(literal 9 binary64) (.f64 x.im x.im) (.f64 (/.f64 (.f64 x.re x.re) x.im) (-.f64 (/.f64 (.f64 x.re x.re) x.im) (.f64 #s(literal -3 binary64) x.im))))) (/.f64 (pow.f64 (.f64 #s(literal -3 binary64) x.im) #s(literal 3 binary64)) (fma.f64 #s(literal 9 binary64) (.f64 x.im x.im) (.f64 (/.f64 (.f64 x.re x.re) x.im) (-.f64 (/.f64 (.f64 x.re x.re) x.im) (.f64 #s(literal -3 binary64) x.im))))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal -3 binary64) x.im) #s(literal 3 binary64)) (fma.f64 #s(literal 9 binary64) (.f64 x.im x.im) (.f64 (/.f64 (.f64 x.re x.re) x.im) (-.f64 (/.f64 (.f64 x.re x.re) x.im) (.f64 #s(literal -3 binary64) x.im))))) (/.f64 (pow.f64 (/.f64 (.f64 x.re x.re) x.im) #s(literal 3 binary64)) (fma.f64 #s(literal 9 binary64) (.f64 x.im x.im) (.f64 (/.f64 (.f64 x.re x.re) x.im) (-.f64 (/.f64 (.f64 x.re x.re) x.im) (.f64 #s(literal -3 binary64) x.im))))))
(+.f64 (/.f64 (.f64 #s(literal 9 binary64) (.f64 x.im x.im)) (-.f64 (.f64 #s(literal -3 binary64) x.im) (/.f64 (.f64 x.re x.re) x.im))) (/.f64 (.f64 (neg.f64 (/.f64 (.f64 x.re x.re) x.im)) (/.f64 (.f64 x.re x.re) x.im)) (-.f64 (.f64 #s(literal -3 binary64) x.im) (/.f64 (*.f64 x.re x.re) x.im))))
(+.f64 (.f64 #s(literal -3 binary64) x.im) (/.f64 (.f64 x.re x.re) x.im))
(+.f64 (/.f64 (.f64 x.re x.re) x.im) (.f64 #s(literal -3 binary64) x.im))
(.f64 (.f64 (-.f64 #s(literal -27 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 6 binary64))) x.re) x.im)
(.f64 (.f64 (-.f64 #s(literal -27 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 6 binary64))) x.im) x.re)
(.f64 (-.f64 #s(literal -27 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 6 binary64))) (.f64 x.im x.re))
(.f64 (.f64 x.im x.re) (-.f64 #s(literal -27 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 6 binary64))))
(.f64 x.im (.f64 x.re (-.f64 #s(literal -27 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 6 binary64)))))
(.f64 x.re (.f64 (-.f64 #s(literal -27 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 6 binary64))) x.im))
(/.f64 (neg.f64 (.f64 (.f64 x.im x.re) (-.f64 #s(literal 729 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 12 binary64))))) (neg.f64 (+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 6 binary64)) #s(literal -27 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 x.im x.re) (-.f64 #s(literal -19683 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 18 binary64))))) (neg.f64 (+.f64 (fma.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 6 binary64)) #s(literal -27 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 12 binary64))) #s(literal 729 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 729 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 12 binary64))) (.f64 x.im x.re))) (neg.f64 (+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 6 binary64)) #s(literal -27 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal -19683 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 18 binary64))) (.f64 x.im x.re))) (neg.f64 (+.f64 (fma.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 6 binary64)) #s(literal -27 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 12 binary64))) #s(literal 729 binary64))))
(/.f64 (.f64 (.f64 x.im x.re) (-.f64 #s(literal 729 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 12 binary64)))) (+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 6 binary64)) #s(literal -27 binary64)))
(/.f64 (.f64 (.f64 x.im x.re) (-.f64 #s(literal -19683 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 18 binary64)))) (+.f64 (fma.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 6 binary64)) #s(literal -27 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 12 binary64))) #s(literal 729 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 729 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 12 binary64))) (.f64 x.im x.re)) (+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 6 binary64)) #s(literal -27 binary64)))
(/.f64 (.f64 (-.f64 #s(literal -19683 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 18 binary64))) (.f64 x.im x.re)) (+.f64 (fma.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 6 binary64)) #s(literal -27 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 12 binary64))) #s(literal 729 binary64)))

eval55.0ms (0.9%)

Memory: 6.2MiB live, 131.5MiB allocated
Compiler: Compiled 24 146 to 2 165 computations (91% saved)

prune51.0ms (0.8%)

Memory

-18.4MiB live, 71.1MiB allocated

Pruning

13 alts after pruning (3 fresh and 10 done)

	Pruned	Kept	Total
New	445	3	448
Fresh	0	0	0
Picked	1	4	5
Done	0	6	6
Total	446	13	459

Accuracy

100.0%

Counts

459 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	57.4%	#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)))
	53.3%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (/.f64 (.f64 (.f64 (-.f64 #s(literal -27 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 6 binary64))) x.im) (*.f64 x.im x.re)) (fma.f64 #s(literal 3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) (+.f64 #s(literal 9 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 4 binary64))))))
✓	87.1%	#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 x.re x.re (.f64 (*.f64 x.im x.im) #s(literal -3 binary64))) x.re))
	52.5%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (/.f64 (.f64 (-.f64 #s(literal -27 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 6 binary64))) (.f64 x.im x.re)) #s(approx (- (+ (pow (/ x.re x.im) 4) 9) ( -3 (pow (/ x.re x.im) 2))) #s(literal 9 binary64))) x.im))
✓	58.4%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 x.im x.re) #s(literal -3 binary64)) x.im))
✓	58.4%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im))
✓	62.0%	#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)))
✓	21.8%	#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 x.re) (neg.f64 x.re)))
✓	57.4%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re x.re) x.re))
✓	58.4%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.im x.re) (*.f64 #s(literal -3 binary64) x.im)))
	95.7%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx ( (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) (.f64 (fma.f64 (/.f64 x.re x.im) x.re (.f64 #s(literal -3 binary64) x.im)) x.re)) x.im))
✓	94.2%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx ( (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) (.f64 (fma.f64 #s(literal -3 binary64) x.im (/.f64 (.f64 x.re x.re) x.im)) x.re)) x.im))
✓	58.5%	#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 1 085 to 381 computations (64.9% saved)

regimes19.0ms (0.3%)

Memory

-1.1MiB live, 38.2MiB allocated

Counts

20 → 2

Calls

Call 1

Inputs
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.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 x.re) (neg.f64 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 x.im x.re) (*.f64 #s(literal -3 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 #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.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) #s(literal -3 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 (fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (*.f64 x.re x.re)) x.re))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 x.re x.re (.f64 (*.f64 x.im x.im) #s(literal -3 binary64))) x.re))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx ( (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) (.f64 (fma.f64 #s(literal -3 binary64) x.im (/.f64 (.f64 x.re x.re) x.im)) x.re)) x.im))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx ( (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) (.f64 (fma.f64 (/.f64 x.re x.im) x.re (.f64 #s(literal -3 binary64) 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))
#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 (.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 (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)) (pow.f64 x.re #s(literal 3 binary64)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #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 (-.f64 #s(literal -27 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 6 binary64))) (.f64 x.im x.re)) #s(approx (- (+ (pow (/ x.re x.im) 4) 9) ( -3 (pow (/ x.re x.im) 2))) #s(literal 9 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 (.f64 (-.f64 #s(literal -27 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 6 binary64))) x.im) (*.f64 x.im x.re)) (fma.f64 #s(literal 3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) (+.f64 #s(literal 9 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 4 binary64))))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (/.f64 (.f64 (-.f64 #s(literal -27 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 6 binary64))) (.f64 x.im x.re)) (-.f64 (+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 4 binary64)) #s(literal 9 binary64)) (.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))))) x.im))

Outputs

(-.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))

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

Calls

3 calls:

7.0ms	x.im
6.0ms	x.re
5.0ms	(-.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%	3	`x.re`
99.8%	2	`x.im`
99.9%	3	`(-.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)

regimes6.0ms (0.1%)

Memory

15.0MiB live, 15.0MiB allocated

Counts

16 → 2

Calls

Call 1

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

Outputs

(-.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))

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

Calls

1 calls:

5.0ms

x.im

Results

Accuracy	Segments	Branch
99.8%	2	`x.im`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes6.0ms (0.1%)

Memory

-28.1MiB live, 11.3MiB allocated

Counts

11 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

5.0ms

x.im

Results

Accuracy	Segments	Branch
99.8%	2	`x.im`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes10.0ms (0.2%)

Memory

18.9MiB live, 18.9MiB allocated

Counts

10 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

3.0ms	x.re
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
98.6%	3	`x.re`
98.2%	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))`
98.2%	2	`x.im`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes7.0ms (0.1%)

Memory

12.4MiB live, 12.4MiB allocated

Counts

9 → 2

Calls

Call 1

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

Outputs

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

#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 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
97.4%	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))`
95.1%	2	`x.im`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes19.0ms (0.3%)

Memory

-29.2MiB live, 10.4MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs

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

Outputs

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

Calls

3 calls:

16.0ms	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
59.5%	2	`x.im`
57.4%	1	`x.re`
61.1%	2	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes2.0ms (0%)

Memory

7.0MiB live, 7.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

Calls

2 calls:

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
57.4%	1	`x.im`
57.4%	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 20 to 13 computations (35% saved)

bsearch14.0ms (0.2%)

Memory

27.0MiB live, 27.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	5.408433024394272e+35	6.44354362641579e+37

Samples

8.0ms

112×

valid

Compiler

Compiled 372 to 240 computations (35.5% saved)

Precisions

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

ival-mult: 4.0ms (76.7% of total)

ival-sub: 1.0ms (19.2% of total)

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

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

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

bsearch30.0ms (0.5%)

Memory

-19.6MiB live, 22.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
28.0ms	6.44354362641579e+37	4.6542841277185333e+39

Samples

8.0ms

112×

valid

Compiler

Compiled 449 to 282 computations (37.2% saved)

Precisions

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

ival-mult: 4.0ms (75.3% of total)

ival-sub: 1.0ms (18.8% of total)

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

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

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

bsearch6.0ms (0.1%)

Memory

9.3MiB live, 9.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
5.0ms	6.44354362641579e+37	4.6542841277185333e+39

Samples

3.0ms

48×

valid

Compiler

Compiled 318 to 196 computations (38.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-mult: 2.0ms (89.7% of total)

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

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

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

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

bsearch25.0ms (0.4%)

Memory

-26.3MiB live, 13.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
24.0ms	6.570892287899346e-21	1.1989290579746194e-20

Samples

21.0ms

64×

valid

Compiler

Compiled 318 to 196 computations (38.4% 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	-3.65e-321	0.0

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-7.974233014350353e-280	-2.7570761459158503e-283

Compiler

Compiled 22 to 16 computations (27.3% saved)

simplify60.0ms (1%)

Memory

18.7MiB live, 58.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	80	447
1	129	425
2	283	425
3	749	392
4	1974	381
5	6225	381

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 x.im #s(literal 550000000000000001195257667258417152 binary64)) (-.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)) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64)) x.re) x.im) x.im)))
(if (<=.f64 x.im #s(literal 70000000000000000313113469567081906176 binary64)) (-.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)) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx ( (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) (.f64 (fma.f64 (/.f64 x.re x.im) x.re (.f64 #s(literal -3 binary64) x.im)) x.re)) x.im)))
(if (<=.f64 x.im #s(literal 600000000000000024271790803693365886976 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 x.re x.re (.f64 (.f64 x.im x.im) #s(literal -3 binary64))) x.re)) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx ( (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) (.f64 (fma.f64 (/.f64 x.re x.im) x.re (.f64 #s(literal -3 binary64) x.im)) x.re)) x.im)))
(if (<=.f64 x.im #s(literal 5981525981032121/664613997892457936451903530140172288 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 x.re x.re (.f64 (.f64 x.im x.im) #s(literal -3 binary64))) x.re)) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx ( (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) (.f64 (fma.f64 #s(literal -3 binary64) x.im (/.f64 (.f64 x.re x.re) x.im)) x.re)) x.im)))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal -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 (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.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 -5109351192408883/10218702384817765435680628290748613458265350453429542612493041881278524886369096016818984783322294789577433327842265575649138882500575199542984559607218336872038429045509558663769793133795138494375185186532064890845853749530218856391110938974453986086436459043203870933208875495579361330830770176 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 x.re) (neg.f64 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 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 x.re) x.re))

Outputs
(if (<=.f64 x.im #s(literal 550000000000000001195257667258417152 binary64)) (-.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)) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64)) x.re) x.im) x.im)))
(if (<=.f64 x.im #s(literal 70000000000000000313113469567081906176 binary64)) (-.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)) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx ( (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) (.f64 (fma.f64 (/.f64 x.re x.im) x.re (.f64 #s(literal -3 binary64) x.im)) x.re)) x.im)))
(if (<=.f64 x.im #s(literal 600000000000000024271790803693365886976 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 x.re x.re (.f64 (.f64 x.im x.im) #s(literal -3 binary64))) x.re)) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx ( (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) (.f64 (fma.f64 (/.f64 x.re x.im) x.re (.f64 #s(literal -3 binary64) x.im)) x.re)) x.im)))
(if (<=.f64 x.im #s(literal 5981525981032121/664613997892457936451903530140172288 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 x.re x.re (.f64 (.f64 x.im x.im) #s(literal -3 binary64))) x.re)) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx ( (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) (.f64 (fma.f64 #s(literal -3 binary64) x.im (/.f64 (.f64 x.re x.re) x.im)) x.re)) x.im)))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal -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 (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.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 -5109351192408883/10218702384817765435680628290748613458265350453429542612493041881278524886369096016818984783322294789577433327842265575649138882500575199542984559607218336872038429045509558663769793133795138494375185186532064890845853749530218856391110938974453986086436459043203870933208875495579361330830770176 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 x.re) (neg.f64 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 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 -5109351192408883/10218702384817765435680628290748613458265350453429542612493041881278524886369096016818984783322294789577433327842265575649138882500575199542984559607218336872038429045509558663769793133795138494375185186532064890845853749530218856391110938974453986086436459043203870933208875495579361330830770176 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 (neg.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 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 x.re) x.re))

soundness1.1s (17.8%)

Memory

-5.9MiB live, 752.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	233
0	56	225
1	217	201
2	1415	197
0	8394	192
0	56	237
1	172	217
2	610	208
3	3532	208
0	8354	202
0	11	51
0	20	51
1	88	39
0	679	38
0	53	376
0	78	376
1	284	352
2	1899	350
0	8492	341
0	92	420
1	267	388
2	932	372
3	5113	372
0	8097	354

Stop Event

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

Compiler

Compiled 934 to 381 computations (59.2% saved)

preprocess61.0ms (1%)

Memory: -11.0MiB live, 146.5MiB allocated
Remove: (negabs x.re)
Compiler: Compiled 1 290 to 396 computations (69.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.0s (16.5%)

explain151.0ms (2.4%)

preprocess236.0ms (3.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify140.0ms (2.2%)

localize39.0ms (0.6%)

series20.0ms (0.3%)

simplify194.0ms (3.1%)

rewrite46.0ms (0.7%)

eval16.0ms (0.3%)

prune4.0ms (0.1%)

simplify342.0ms (5.4%)

localize127.0ms (2%)

series35.0ms (0.6%)

simplify159.0ms (2.5%)

rewrite273.0ms (4.3%)

eval155.0ms (2.5%)

prune79.0ms (1.3%)

simplify237.0ms (3.8%)

localize165.0ms (2.6%)

series20.0ms (0.3%)

simplify153.0ms (2.4%)

rewrite223.0ms (3.6%)

eval80.0ms (1.3%)

prune69.0ms (1.1%)

simplify206.0ms (3.3%)

localize165.0ms (2.6%)

series77.0ms (1.2%)

simplify157.0ms (2.5%)

rewrite178.0ms (2.8%)

eval55.0ms (0.9%)

prune51.0ms (0.8%)

regimes19.0ms (0.3%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

regimes10.0ms (0.2%)

regimes7.0ms (0.1%)

regimes19.0ms (0.3%)

regimes2.0ms (0%)

bsearch14.0ms (0.2%)

bsearch30.0ms (0.5%)

bsearch6.0ms (0.1%)

bsearch25.0ms (0.4%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify60.0ms (1%)

soundness1.1s (17.8%)

preprocess61.0ms (1%)

end0.0ms (0%)

Profiling