Metrics for math.cube on complex, imaginary part

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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)

sample1.5s (21.1%)

Memory

-3.3MiB live, 1 223.3MiB allocated

Samples

1.2s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 798.0ms

ival-mult: 550.0ms (68.9% of total)

ival-add: 205.0ms (25.7% of total)

ival-sub: 35.0ms (4.4% of total)

ival-true: 5.0ms (0.6% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

explain202.0ms (2.8%)

Memory

33.9MiB live, 269.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
21	-	-	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)`
20	-	-	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`
15	-	-	`(-.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.re)`
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.im)`	*no**	21	0
`+.f64`	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`	nan-rescue	20	0
↳	`(*.f64 x.re x.re)`	overflow	66
↳	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	overflow	106
↳	`(*.f64 x.im x.im)`	overflow	55
↳	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)`	overflow	101
↳	`(*.f64 x.im x.re)`	overflow	31
↳	`(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)`	overflow	61
↳	`(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))`	overflow	31
↳	`(*.f64 x.re x.im)`	overflow	31
`-.f64`	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	nan-rescue	15	0
↳	`(*.f64 x.re x.re)`	overflow	66
↳	`(*.f64 x.im x.im)`	overflow	55

Confusion

	Predicted +	Predicted -
+	49	0
-	0	207

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	49	0	0
-	0	0	207

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	207
1	42
2	7

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

62.0ms

512×

valid

Compiler

Compiled 218 to 48 computations (78% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-mult: 37.0ms (80.9% of total)

ival-add: 6.0ms (13.1% of total)

ival-sub: 2.0ms (4.4% of total)

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

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

preprocess408.0ms (5.6%)

Memory

-18.2MiB live, 219.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	31	107
1	99	89
2	292	85
3	1259	57
4	3111	55
5	5133	55
6	6048	55
7	6433	55
8	6553	55
9	6657	55
10	6664	55
11	7747	55
0	11	19
0	20	19
1	34	17
2	65	17
3	151	11
4	358	11
5	1010	11
6	1929	11
7	4829	11
8	7194	11
0	8107	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.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))

Outputs

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

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

Symmetry

(abs x.re)

(negabs x.im)

Compiler

Compiled 19 to 11 computations (42.1% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	81.2%	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))

Compiler

Compiled 19 to 11 computations (42.1% saved)

simplify351.0ms (4.8%)

Memory

-4.2MiB live, 179.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	65
0	20	65
1	34	59
2	65	59
3	151	53
4	358	53
5	1010	53
6	1929	53
7	4829	53
8	7194	53
0	8107	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.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
(-.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.re)
(+.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.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
(fma.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) x.im (pow.f64 (neg.f64 x.im) #s(literal 3 binary64)))
(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
(.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.re))
(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))
(*.f64 x.re x.re)
x.re
(*.f64 x.im x.im)
x.im
(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(.f64 (.f64 #s(literal 2 binary64) (*.f64 x.im x.re)) x.re)
(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
(.f64 #s(literal 2 binary64) (.f64 x.im x.re))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
(*.f64 x.im x.re)

localize82.0ms (1.1%)

Memory

-11.3MiB live, 28.1MiB 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.re)
accuracy	3.351548050811441	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
accuracy	5.016807924397939	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
accuracy	5.093708716604116	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))

Samples

74.0ms

256×

valid

Compiler

Compiled 132 to 24 computations (81.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

ival-mult: 63.0ms (95.3% of total)

ival-add: 2.0ms (3% of total)

ival-sub: 1.0ms (1.5% of total)

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

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

series13.0ms (0.2%)

Memory

12.0MiB live, 12.0MiB allocated

Counts

6 → 22

Calls

Call 1

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

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

Calls

6 calls:

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

simplify179.0ms (2.4%)

Memory

1.0MiB live, 119.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	57	180
1	182	170
2	586	170
3	2560	170
4	6935	170
0	8454	170

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 22

Calls

Call 1

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

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

rewrite142.0ms (1.9%)

Memory

-7.9MiB live, 69.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	54
0	20	54
1	79	42
0	536	41

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

6 → 81

Calls

Call 1

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

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

eval8.0ms (0.1%)

Memory: 15.3MiB live, 15.3MiB allocated
Compiler: Compiled 2 335 to 321 computations (86.3% saved)

prune75.0ms (1%)

Memory

-18.9MiB live, 26.1MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	83	8	91
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	84	8	92

Accuracy

97.2%

Counts

92 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	37.6%	(+.f64 (.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (.f64 (.f64 (neg.f64 x.im) x.im) (.f64 (neg.f64 x.im) x.im))) (-.f64 (.f64 x.re x.re) (.f64 (neg.f64 x.im) x.im))) x.im) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
▶	29.1%	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (/.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)))) x.re))
▶	91.9%	(+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
	61.7%	(+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (neg.f64 x.im) x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
▶	53.5%	(+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (.f64 (.f64 x.re x.re) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
▶	61.7%	(+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (neg.f64 (pow.f64 x.im #s(literal 3 binary64)))) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
	89.4%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (fma.f64 (neg.f64 x.im) x.im (.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)) x.im))
▶	53.5%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))

Compiler

Compiled 422 to 244 computations (42.2% saved)

simplify354.0ms (4.8%)

Memory

2.7MiB live, 161.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	128	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
cost-diff	192	(+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))
cost-diff	704	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (/.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)))) x.re))
cost-diff	13952	(/.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))))
cost-diff	0	(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
cost-diff	0	#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
cost-diff	128	(+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (neg.f64 (pow.f64 x.im #s(literal 3 binary64)))) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
cost-diff	192	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
cost-diff	0	(.f64 (.f64 x.re x.re) x.im)
cost-diff	0	#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (.f64 (.f64 x.re x.re) x.im))
cost-diff	128	(+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (.f64 (.f64 x.re x.re) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
cost-diff	192	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
cost-diff	0	(*.f64 x.re x.re)
cost-diff	0	(.f64 (.f64 x.re x.re) x.im)
cost-diff	0	(.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
cost-diff	0	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
cost-diff	0	(+.f64 x.im x.re)
cost-diff	0	(.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im))
cost-diff	192	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
cost-diff	704	(+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	363
0	68	337
1	117	311
2	258	311
3	1586	293
4	5325	293
0	8422	291

Stop Event

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

Calls

Call 1

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

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

localize280.0ms (3.8%)

Memory

3.4MiB live, 166.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	3.351548050811441	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
accuracy	5.016807924397939	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
accuracy	5.093708716604116	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (/.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)))) x.re))
accuracy	40.49199002788176	(/.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))))
accuracy	0	(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
accuracy	0.13671875	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
accuracy	5.093708716604116	(+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (neg.f64 (pow.f64 x.im #s(literal 3 binary64)))) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
accuracy	29.421640148163988	#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
accuracy	0.13671875	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
accuracy	5.093708716604116	(+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (.f64 (.f64 x.re x.re) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
accuracy	8.913478621642032	(.f64 (.f64 x.re x.re) x.im)
accuracy	24.795950918693755	#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (.f64 (.f64 x.re x.re) x.im))
accuracy	0	(*.f64 x.re x.re)
accuracy	0.14453125	(.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
accuracy	8.913478621642032	(.f64 (.f64 x.re x.re) x.im)
accuracy	24.78493934238105	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
accuracy	0.0078125	(*.f64 (-.f64 x.re x.im) x.im)
accuracy	0.10546875	(.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im))
accuracy	0.13671875	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
accuracy	5.093708716604116	(+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))

Samples

136.0ms

256×

valid

Compiler

Compiled 698 to 75 computations (89.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 116.0ms

ival-mult: 89.0ms (76.6% of total)

ival-add: 15.0ms (12.9% of total)

ival-pow: 5.0ms (4.3% of total)

ival-sub: 2.0ms (1.7% of total)

ival-pow2: 2.0ms (1.7% of total)

ival-div: 1.0ms (0.9% of total)

ival-neg: 1.0ms (0.9% of total)

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

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

exact: 0.0ms (0% of total)

series102.0ms (1.4%)

Memory

-9.5MiB live, 29.8MiB allocated

Counts

20 → 56

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
87.0ms	x.re	@	-inf	((+ (* (+ x.im x.re) (* (- 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.im x.re) (* (- x.re x.im) x.im)) (+ x.im x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.re) x.im) 3) (* (* x.re x.re) x.im) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (neg (pow x.im 3)) (/ (* 2 (pow (* x.im x.re) 3)) (+ 0 (pow (* x.im x.re) 2))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (/ (* 2 (pow (* x.im x.re) 3)) (+ 0 (pow (* x.im x.re) 2))) x.re)) (+ 0 (pow (* x.im x.re) 2)) (- (* x.re 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))
3.0ms	x.im	@	-inf	((+ (* (+ x.im x.re) (* (- 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.im x.re) (* (- x.re x.im) x.im)) (+ x.im x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.re) x.im) 3) (* (* x.re x.re) x.im) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (neg (pow x.im 3)) (/ (* 2 (pow (* x.im x.re) 3)) (+ 0 (pow (* x.im x.re) 2))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (/ (* 2 (pow (* x.im x.re) 3)) (+ 0 (pow (* x.im x.re) 2))) x.re)) (+ 0 (pow (* x.im x.re) 2)) (- (* x.re 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))
3.0ms	x.im	@	inf	((+ (* (+ x.im x.re) (* (- 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.im x.re) (* (- x.re x.im) x.im)) (+ x.im x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.re) x.im) 3) (* (* x.re x.re) x.im) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (neg (pow x.im 3)) (/ (* 2 (pow (* x.im x.re) 3)) (+ 0 (pow (* x.im x.re) 2))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (/ (* 2 (pow (* x.im x.re) 3)) (+ 0 (pow (* x.im x.re) 2))) x.re)) (+ 0 (pow (* x.im x.re) 2)) (- (* x.re 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))
2.0ms	x.re	@	inf	((+ (* (+ x.im x.re) (* (- 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.im x.re) (* (- x.re x.im) x.im)) (+ x.im x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.re) x.im) 3) (* (* x.re x.re) x.im) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (neg (pow x.im 3)) (/ (* 2 (pow (* x.im x.re) 3)) (+ 0 (pow (* x.im x.re) 2))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (/ (* 2 (pow (* x.im x.re) 3)) (+ 0 (pow (* x.im x.re) 2))) x.re)) (+ 0 (pow (* x.im x.re) 2)) (- (* x.re 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))
2.0ms	x.im	@	0	((+ (* (+ x.im x.re) (* (- 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.im x.re) (* (- x.re x.im) x.im)) (+ x.im x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.re) x.im) 3) (* (* x.re x.re) x.im) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (neg (pow x.im 3)) (/ (* 2 (pow (* x.im x.re) 3)) (+ 0 (pow (* x.im x.re) 2))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (/ (* 2 (pow (* x.im x.re) 3)) (+ 0 (pow (* x.im x.re) 2))) x.re)) (+ 0 (pow (* x.im x.re) 2)) (- (* x.re 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))

simplify273.0ms (3.7%)

Memory

-12.5MiB live, 143.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	168	690
1	583	548
2	1931	481
3	6956	481
0	8097	468

Stop Event

1×	iter limit
1×	node limit

Counts

56 → 54

Calls

Call 1

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

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

rewrite207.0ms (2.8%)

Memory

19.7MiB live, 218.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	241
0	68	223
1	257	191
2	1800	191
0	8451	186

Stop Event

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

Counts

20 → 1 272

Calls

Call 1

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

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

eval209.0ms (2.9%)

Memory: -18.4MiB live, 255.9MiB allocated
Compiler: Compiled 45 423 to 3 468 computations (92.4% saved)

prune32.0ms (0.4%)

Memory

18.0MiB live, 93.2MiB allocated

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	1 308	8	1 316
Fresh	2	1	3
Picked	4	1	5
Done	0	0	0
Total	1 314	10	1 324

Accuracy

100.0%

Counts

1 324 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	89.7%	(+.f64 (.f64 (+.f64 x.im x.re) #s(approx ( (- x.re x.im) x.im) (.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
▶	90.1%	(+.f64 (.f64 #s(approx (+ x.im x.re) (fma.f64 (/.f64 x.im x.re) x.re x.re)) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
	89.4%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (fma.f64 (neg.f64 x.im) x.im (.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)) x.im))
✓	53.5%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
▶	61.1%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64)))
	53.5%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im)))
▶	53.4%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im))
	61.1%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 (*.f64 x.re x.im) #s(literal 3 binary64))))
▶	61.1%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 x.re (*.f64 #s(literal 3 binary64) x.im))))
	54.0%	#s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow.f64 (neg.f64 x.im) #s(literal 3 binary64)))

Compiler

Compiled 517 to 302 computations (41.6% saved)

simplify188.0ms (2.6%)

Memory

-7.2MiB live, 230.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (+.f64 x.im x.re) #s(approx ( (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re)))
cost-diff	128	(+.f64 (.f64 (+.f64 x.im x.re) #s(approx ( (- x.re x.im) x.im) (.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
cost-diff	192	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
cost-diff	1024	(*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re)
cost-diff	0	(*.f64 x.re x.im)
cost-diff	0	(.f64 (.f64 x.re x.im) x.re)
cost-diff	0	(.f64 (.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64))
cost-diff	0	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64)))
cost-diff	0	(*.f64 x.re x.re)
cost-diff	0	(.f64 #s(literal 3 binary64) (.f64 x.re x.re))
cost-diff	0	(.f64 (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im)
cost-diff	0	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im))
cost-diff	0	(*.f64 #s(literal 3 binary64) x.im)
cost-diff	0	(.f64 x.re (.f64 #s(literal 3 binary64) x.im))
cost-diff	0	(.f64 x.re (.f64 x.re (*.f64 #s(literal 3 binary64) x.im)))
cost-diff	0	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 x.re (*.f64 #s(literal 3 binary64) x.im))))
cost-diff	0	(.f64 #s(approx (+ x.im x.re) (fma.f64 (/.f64 x.im x.re) x.re x.re)) (.f64 (-.f64 x.re x.im) x.im))
cost-diff	192	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
cost-diff	448	(+.f64 (.f64 #s(approx (+ x.im x.re) (fma.f64 (/.f64 x.im x.re) x.re x.re)) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
cost-diff	896	(fma.f64 (/.f64 x.im x.re) x.re x.re)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	339
0	69	338
1	123	320
2	214	315
3	465	273
4	1203	273
5	3304	273
6	6159	273
0	8108	271

Stop Event

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

Calls

Call 1

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

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

localize89.0ms (1.2%)

Memory

0.6MiB live, 238.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.10546875	(.f64 (+.f64 x.im x.re) #s(approx ( (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re)))
accuracy	0.13671875	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
accuracy	3.559693642989876	(*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re)
accuracy	5.093708716604116	(+.f64 (.f64 (+.f64 x.im x.re) #s(approx ( (- x.re x.im) x.im) (.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
accuracy	0	(*.f64 x.re x.im)
accuracy	0.13671875	(.f64 (.f64 x.re x.im) x.re)
accuracy	0.14453125	(.f64 (.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64))
accuracy	24.78493934238105	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64)))
accuracy	0	(*.f64 x.re x.re)
accuracy	0.15234375	(.f64 #s(literal 3 binary64) (.f64 x.re x.re))
accuracy	8.89152938205719	(.f64 (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im)
accuracy	24.78493934238105	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im))
accuracy	0	(*.f64 #s(literal 3 binary64) x.im)
accuracy	0.109375	(.f64 x.re (.f64 x.re (*.f64 #s(literal 3 binary64) x.im)))
accuracy	0.171875	(.f64 x.re (.f64 #s(literal 3 binary64) x.im))
accuracy	24.78493934238105	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 x.re (*.f64 #s(literal 3 binary64) x.im))))
accuracy	0.10546875	(.f64 #s(approx (+ x.im x.re) (fma.f64 (/.f64 x.im x.re) x.re x.re)) (.f64 (-.f64 x.re x.im) x.im))
accuracy	0.13671875	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
accuracy	5.093708716604116	(+.f64 (.f64 #s(approx (+ x.im x.re) (fma.f64 (/.f64 x.im x.re) x.re x.re)) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
accuracy	6.628987114896352	(fma.f64 (/.f64 x.im x.re) x.re x.re)

Samples

61.0ms

256×

valid

Compiler

Compiled 608 to 77 computations (87.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-mult: 24.0ms (66.5% of total)

ival-add: 6.0ms (16.6% of total)

ival-div: 2.0ms (5.5% of total)

ival-sub: 2.0ms (5.5% of total)

ival-neg: 1.0ms (2.8% of total)

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

exact: 0.0ms (0% of total)

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

series59.0ms (0.8%)

Memory

-10.6MiB live, 80.0MiB allocated

Counts

20 → 49

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
34.0ms	x.im	@	inf	((+ (* (/ x.im x.re) x.re) x.re) (+ (* (+ x.im x.re) (* (- 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.im x.re) (* (- x.re x.im) x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* x.re (* x.re (* 3 x.im))) (* x.re (* 3 x.im)) (* 3 x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* 3 (* x.re x.re)) x.im) (* 3 (* x.re x.re)) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.im) x.re) 3) (* (* x.re x.im) x.re) (* x.re x.im) (* (+ (* (neg x.im) (/ x.im x.re)) x.im) x.re) (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
8.0ms	x.re	@	inf	((+ (* (/ x.im x.re) x.re) x.re) (+ (* (+ x.im x.re) (* (- 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.im x.re) (* (- x.re x.im) x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* x.re (* x.re (* 3 x.im))) (* x.re (* 3 x.im)) (* 3 x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* 3 (* x.re x.re)) x.im) (* 3 (* x.re x.re)) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.im) x.re) 3) (* (* x.re x.im) x.re) (* x.re x.im) (* (+ (* (neg x.im) (/ x.im x.re)) x.im) x.re) (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
4.0ms	x.re	@	-inf	((+ (* (/ x.im x.re) x.re) x.re) (+ (* (+ x.im x.re) (* (- 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.im x.re) (* (- x.re x.im) x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* x.re (* x.re (* 3 x.im))) (* x.re (* 3 x.im)) (* 3 x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* 3 (* x.re x.re)) x.im) (* 3 (* x.re x.re)) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.im) x.re) 3) (* (* x.re x.im) x.re) (* x.re x.im) (* (+ (* (neg x.im) (/ x.im x.re)) x.im) x.re) (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
4.0ms	x.im	@	0	((+ (* (/ x.im x.re) x.re) x.re) (+ (* (+ x.im x.re) (* (- 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.im x.re) (* (- x.re x.im) x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* x.re (* x.re (* 3 x.im))) (* x.re (* 3 x.im)) (* 3 x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* 3 (* x.re x.re)) x.im) (* 3 (* x.re x.re)) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.im) x.re) 3) (* (* x.re x.im) x.re) (* x.re x.im) (* (+ (* (neg x.im) (/ x.im x.re)) x.im) x.re) (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
4.0ms	x.re	@	0	((+ (* (/ x.im x.re) x.re) x.re) (+ (* (+ x.im x.re) (* (- 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.im x.re) (* (- x.re x.im) x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* x.re (* x.re (* 3 x.im))) (* x.re (* 3 x.im)) (* 3 x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* 3 (* x.re x.re)) x.im) (* 3 (* x.re x.re)) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.im) x.re) 3) (* (* x.re x.im) x.re) (* x.re x.im) (* (+ (* (neg x.im) (/ x.im x.re)) x.im) x.re) (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))

simplify114.0ms (1.6%)

Memory

31.6MiB live, 149.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	154	480
1	534	365
2	1756	338
3	6460	338
0	8324	338

Stop Event

1×	iter limit
1×	node limit

Counts

49 → 47

Calls

Call 1

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

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

rewrite61.0ms (0.8%)

Memory

7.9MiB live, 46.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	247
0	69	247
1	229	219
0	1486	214

Stop Event

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

Counts

20 → 174

Calls

Call 1

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

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

eval41.0ms (0.6%)

Memory: -5.1MiB live, 33.9MiB allocated
Compiler: Compiled 7 120 to 630 computations (91.2% saved)

prune35.0ms (0.5%)

Memory

5.3MiB live, 44.1MiB allocated

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	203	3	206
Fresh	1	3	4
Picked	2	3	5
Done	0	1	1
Total	206	10	216

Accuracy

100.0%

Counts

216 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	89.7%	(+.f64 (.f64 (+.f64 x.im x.re) #s(approx ( (- x.re x.im) x.im) (.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
▶	90.1%	(+.f64 (.f64 #s(approx (+ x.im x.re) (fma.f64 (/.f64 x.im x.re) x.re x.re)) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re))
▶	89.4%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (fma.f64 (neg.f64 x.im) x.im (.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)) x.im))
✓	53.5%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
✓	61.1%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64)))
▶	53.5%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im))
✓	53.4%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im))
▶	61.1%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 (*.f64 x.re x.im) #s(literal 3 binary64))))
✓	61.1%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 x.re (*.f64 #s(literal 3 binary64) x.im))))
	54.0%	#s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow.f64 (neg.f64 x.im) #s(literal 3 binary64)))

Compiler

Compiled 428 to 250 computations (41.6% saved)

simplify216.0ms (2.9%)

Memory

-0.2MiB live, 155.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 x.im x.re)
cost-diff	0	(.f64 (+.f64 x.im x.re) #s(approx ( (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re)))
cost-diff	128	(+.f64 (.f64 (+.f64 x.im x.re) #s(approx ( (- x.re x.im) x.im) (.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
cost-diff	1024	(*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re)
cost-diff	0	(neg.f64 x.im)
cost-diff	0	(fma.f64 (neg.f64 x.im) x.im (.f64 (.f64 #s(literal 3 binary64) x.re) x.re))
cost-diff	0	(.f64 (fma.f64 (neg.f64 x.im) x.im (.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)) x.im)
cost-diff	0	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (fma.f64 (neg.f64 x.im) x.im (.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)) x.im))
cost-diff	0	(*.f64 #s(literal 3 binary64) x.re)
cost-diff	0	(.f64 (.f64 #s(literal 3 binary64) x.re) x.re)
cost-diff	0	(.f64 (.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im)
cost-diff	0	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im))
cost-diff	0	(*.f64 x.re x.im)
cost-diff	0	(.f64 (.f64 x.re x.im) #s(literal 3 binary64))
cost-diff	0	(.f64 x.re (.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))
cost-diff	0	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 (*.f64 x.re x.im) #s(literal 3 binary64))))
cost-diff	0	#s(approx (+ x.im x.re) (fma.f64 (/.f64 x.im x.re) x.re x.re))
cost-diff	0	(.f64 #s(approx (+ x.im x.re) (fma.f64 (/.f64 x.im x.re) x.re x.re)) (.f64 (-.f64 x.re x.im) x.im))
cost-diff	448	(+.f64 (.f64 #s(approx (+ x.im x.re) (fma.f64 (/.f64 x.im x.re) x.re x.re)) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re))
cost-diff	896	(fma.f64 (/.f64 x.im x.re) x.re x.re)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	340
0	69	333
1	127	333
2	228	328
3	496	286
4	1270	286
5	3497	286
6	6484	286
0	8124	284

Stop Event

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

Calls

Call 1

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

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

localize322.0ms (4.4%)

Memory

-26.4MiB live, 134.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.10546875	(.f64 (+.f64 x.im x.re) #s(approx ( (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re)))
accuracy	0.13671875	(.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)
accuracy	3.559693642989876	(*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re)
accuracy	5.093708716604116	(+.f64 (.f64 (+.f64 x.im x.re) #s(approx ( (- x.re x.im) x.im) (.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
accuracy	0	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (fma.f64 (neg.f64 x.im) x.im (.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)) x.im))
accuracy	0.125	(.f64 (.f64 #s(literal 3 binary64) x.re) x.re)
accuracy	1.7538869832389217	(fma.f64 (neg.f64 x.im) x.im (.f64 (.f64 #s(literal 3 binary64) x.re) x.re))
accuracy	5.027385588267189	(.f64 (fma.f64 (neg.f64 x.im) x.im (.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)) x.im)
accuracy	0	(*.f64 #s(literal 3 binary64) x.re)
accuracy	0.125	(.f64 (.f64 #s(literal 3 binary64) x.re) x.re)
accuracy	8.89152938205719	(.f64 (.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im)
accuracy	24.78493934238105	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im))
accuracy	0	(*.f64 x.re x.im)
accuracy	0.109375	(.f64 x.re (.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))
accuracy	0.20703125	(.f64 (.f64 x.re x.im) #s(literal 3 binary64))
accuracy	24.78493934238105	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 (*.f64 x.re x.im) #s(literal 3 binary64))))
accuracy	0.10546875	(.f64 #s(approx (+ x.im x.re) (fma.f64 (/.f64 x.im x.re) x.re x.re)) (.f64 (-.f64 x.re x.im) x.im))
accuracy	0.13671875	(.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)
accuracy	5.093708716604116	(+.f64 (.f64 #s(approx (+ x.im x.re) (fma.f64 (/.f64 x.im x.re) x.re x.re)) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re))
accuracy	6.628987114896352	(fma.f64 (/.f64 x.im x.re) x.re x.re)

Samples

259.0ms

256×

valid

Compiler

Compiled 608 to 80 computations (86.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 241.0ms

ival-mult: 178.0ms (73.7% of total)

ival-add: 58.0ms (24% of total)

ival-div: 2.0ms (0.8% of total)

ival-sub: 2.0ms (0.8% of total)

ival-neg: 1.0ms (0.4% of total)

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

exact: 0.0ms (0% of total)

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

series15.0ms (0.2%)

Memory

24.9MiB live, 24.9MiB allocated

Counts

21 → 56

Calls

Call 1

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

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

Calls

6 calls:

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

simplify160.0ms (2.2%)

Memory

5.0MiB live, 124.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	172	726
1	592	566
2	1891	488
3	6865	488
0	8107	475

Stop Event

1×	iter limit
1×	node limit

Counts

56 → 54

Calls

Call 1

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

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

rewrite207.0ms (2.8%)

Memory

-21.7MiB live, 292.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	258
0	69	252
1	257	228
2	1756	224
0	8368	215

Stop Event

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

Counts

21 → 567

Calls

Call 1

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

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

eval76.0ms (1%)

Memory: 11.6MiB live, 165.9MiB allocated
Compiler: Compiled 28 169 to 2 133 computations (92.4% saved)

prune30.0ms (0.4%)

Memory

-16.5MiB live, 71.6MiB allocated

Pruning

11 alts after pruning (4 fresh and 7 done)

	Pruned	Kept	Total
New	698	3	701
Fresh	0	1	1
Picked	1	4	5
Done	1	3	4
Total	700	11	711

Accuracy

100.0%

Counts

711 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.3%	(fma.f64 (+.f64 x.re x.im) #s(approx (* (- x.re x.im) x.im) (.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re)) (.f64 #s(literal 2 binary64) x.im))
✓	89.7%	(+.f64 (.f64 (+.f64 x.im x.re) #s(approx ( (- x.re x.im) x.im) (.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
	52.7%	(+.f64 (.f64 #s(approx (+ x.im x.re) (fma.f64 (/.f64 x.im x.re) x.re x.re)) (.f64 (-.f64 x.re x.im) x.im)) (+.f64 x.im x.im))
✓	89.4%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (fma.f64 (neg.f64 x.im) x.im (.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)) x.im))
✓	53.5%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
✓	61.1%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64)))
✓	53.5%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im))
	54.0%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (+ ( (neg x.im) x.im) (* (* 3 x.re) x.re)) (*.f64 (neg.f64 x.im) x.im)) x.im))
✓	61.1%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 (*.f64 x.re x.im) #s(literal 3 binary64))))
✓	61.1%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 x.re (*.f64 #s(literal 3 binary64) x.im))))
	54.0%	#s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow.f64 (neg.f64 x.im) #s(literal 3 binary64)))

Compiler

Compiled 897 to 288 computations (67.9% saved)

regimes24.0ms (0.3%)

Memory

15.5MiB live, 53.1MiB allocated

Counts

23 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

9.0ms	x.re
7.0ms	x.im
6.0ms	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))

Results

Accuracy	Segments	Branch
97.1%	2	`x.re`
99.8%	2	`x.im`
99.8%	2	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes9.0ms (0.1%)

Memory

20.3MiB live, 20.3MiB allocated

Counts

12 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

4.0ms	x.im
4.0ms	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))

Results

Accuracy	Segments	Branch
99.8%	3	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`
99.5%	3	`x.im`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes15.0ms (0.2%)

Memory

-9.0MiB live, 29.6MiB allocated

Counts

11 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

6.0ms	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
4.0ms	x.im
4.0ms	x.re

Results

Accuracy	Segments	Branch
97.1%	2	`x.re`
96.7%	2	`x.im`
97.1%	3	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes12.0ms (0.2%)

Memory

-14.6MiB live, 24.0MiB allocated

Counts

8 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

6.0ms	x.im
3.0ms	x.re
3.0ms	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))

Results

Accuracy	Segments	Branch
96.2%	3	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`
82.0%	2	`x.im`
84.4%	2	`x.re`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes4.0ms (0.1%)

Memory

11.1MiB live, 11.1MiB 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.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (+ ( (neg x.im) x.im) (* (* 3 x.re) x.re)) (*.f64 (neg.f64 x.im) x.im)) x.im))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
54.0%	1	`x.im`
54.0%	1	`x.re`
54.0%	1	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`

Compiler

Compiled 21 to 15 computations (28.6% saved)

bsearch17.0ms (0.2%)

Memory

-12.5MiB live, 30.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.2820794396813159e+79	3.658257057495304e+80

Samples

11.0ms

112×

valid

Compiler

Compiled 295 to 184 computations (37.6% saved)

Precisions

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

ival-mult: 7.0ms (81.8% of total)

ival-add: 1.0ms (11.7% of total)

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

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

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

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	4.012955665992572e+267	+inf

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch17.0ms (0.2%)

Memory

-9.1MiB live, 29.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	2.7122087941005953e+144	1.9550625620688733e+146

Samples

8.0ms

112×

valid

Compiler

Compiled 428 to 268 computations (37.4% saved)

Precisions

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

ival-mult: 4.0ms (80.5% of total)

ival-add: 1.0ms (20.1% of total)

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

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

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

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-4.429082964827e-312	0.0

Compiler

Compiled 22 to 16 computations (27.3% saved)

simplify29.0ms (0.4%)

Memory

-2.7MiB live, 76.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	409
1	95	409
2	101	409
3	104	409
4	105	409

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x.im #s(literal 359999999999999994830180929522262860638747260068801296808520348805107569383178240 binary64)) (+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) (+.f64 (.f64 #s(approx (+ x.im x.re) (fma.f64 (/.f64 x.im x.re) x.re x.re)) (*.f64 (-.f64 x.re x.im) x.im)) (+.f64 x.im x.im)))
(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal 4999999999999999867191124270801136529387592805614118752968562959935729820122223283470222022384343445075745838114981545950829122920115734705091748696545677316240613067296570535370196459057846646098244244537715020989452560938972349481852103967665817467117364460325437440 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (fma.f64 (neg.f64 x.im) x.im (.f64 (.f64 #s(literal 3 binary64) x.re) x.re)) x.im)) (if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 x.re (.f64 #s(literal 3 binary64) x.im)))) (+.f64 (.f64 #s(approx (+ x.im x.re) (fma.f64 (/.f64 x.im x.re) x.re x.re)) (*.f64 (-.f64 x.re x.im) x.im)) (+.f64 x.im x.im))))
(if (<=.f64 x.re #s(literal 194999999999999999258311777577886754261510814149368351149228839250051684367889824209965853628736597715272052154328390071084244330409145488182870016 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (fma.f64 (neg.f64 x.im) x.im (.f64 (.f64 #s(literal 3 binary64) x.re) x.re)) x.im)) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 x.re (*.f64 #s(literal 3 binary64) x.im)))))
(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal -809609013229/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (+ ( (neg x.im) x.im) (* (* 3 x.re) x.re)) (.f64 (neg.f64 x.im) x.im)) x.im)) (if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 x.re (.f64 #s(literal 3 binary64) x.im)))) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (+ ( (neg x.im) x.im) (* (* 3 x.re) x.re)) (*.f64 (neg.f64 x.im) x.im)) x.im))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (+ ( (neg x.im) x.im) (* (* 3 x.re) x.re)) (*.f64 (neg.f64 x.im) x.im)) x.im))

Outputs
(if (<=.f64 x.im #s(literal 359999999999999994830180929522262860638747260068801296808520348805107569383178240 binary64)) (+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) (+.f64 (.f64 #s(approx (+ x.im x.re) (fma.f64 (/.f64 x.im x.re) x.re x.re)) (*.f64 (-.f64 x.re x.im) x.im)) (+.f64 x.im x.im)))
(if (<=.f64 x.im #s(literal 359999999999999994830180929522262860638747260068801296808520348805107569383178240 binary64)) (+.f64 (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.re x.im)) x.re) (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im))) (+.f64 (+.f64 x.im x.im) (.f64 #s(approx (+ x.im x.re) (fma.f64 (/.f64 x.im x.re) x.re x.re)) (*.f64 (-.f64 x.re x.im) x.im))))
(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal 4999999999999999867191124270801136529387592805614118752968562959935729820122223283470222022384343445075745838114981545950829122920115734705091748696545677316240613067296570535370196459057846646098244244537715020989452560938972349481852103967665817467117364460325437440 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (fma.f64 (neg.f64 x.im) x.im (.f64 (.f64 #s(literal 3 binary64) x.re) x.re)) x.im)) (if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 x.re (.f64 #s(literal 3 binary64) x.im)))) (+.f64 (.f64 #s(approx (+ x.im x.re) (fma.f64 (/.f64 x.im x.re) x.re x.re)) (*.f64 (-.f64 x.re x.im) x.im)) (+.f64 x.im x.im))))
(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.re x.im)) x.re)) #s(literal 4999999999999999867191124270801136529387592805614118752968562959935729820122223283470222022384343445075745838114981545950829122920115734705091748696545677316240613067296570535370196459057846646098244244537715020989452560938972349481852103967665817467117364460325437440 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (fma.f64 (neg.f64 x.im) x.im (.f64 (.f64 #s(literal 3 binary64) x.re) x.re)) x.im)) (if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.re x.im)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (.f64 #s(literal 3 binary64) x.im) x.re) x.re)) (+.f64 (+.f64 x.im x.im) (.f64 #s(approx (+ x.im x.re) (fma.f64 (/.f64 x.im x.re) x.re x.re)) (*.f64 (-.f64 x.re x.im) x.im)))))
(if (<=.f64 x.re #s(literal 194999999999999999258311777577886754261510814149368351149228839250051684367889824209965853628736597715272052154328390071084244330409145488182870016 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (fma.f64 (neg.f64 x.im) x.im (.f64 (.f64 #s(literal 3 binary64) x.re) x.re)) x.im)) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 x.re (*.f64 #s(literal 3 binary64) x.im)))))
(if (<=.f64 x.re #s(literal 194999999999999999258311777577886754261510814149368351149228839250051684367889824209965853628736597715272052154328390071084244330409145488182870016 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (fma.f64 (neg.f64 x.im) x.im (.f64 (.f64 #s(literal 3 binary64) x.re) x.re)) x.im)) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)))
(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal -809609013229/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (+ ( (neg x.im) x.im) (* (* 3 x.re) x.re)) (.f64 (neg.f64 x.im) x.im)) x.im)) (if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 x.re (.f64 #s(literal 3 binary64) x.im)))) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (+ ( (neg x.im) x.im) (* (* 3 x.re) x.re)) (*.f64 (neg.f64 x.im) x.im)) x.im))))
(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.re x.im)) x.re)) #s(literal -809609013229/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (+ ( (neg x.im) x.im) (* (* 3 x.re) x.re)) (.f64 (neg.f64 x.im) x.im)) x.im)) (if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.re x.im)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (.f64 #s(literal 3 binary64) x.im) x.re) x.re)) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (+ ( (neg x.im) x.im) (* (* 3 x.re) x.re)) (*.f64 (neg.f64 x.im) x.im)) x.im))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (+ ( (neg x.im) x.im) (* (* 3 x.re) x.re)) (*.f64 (neg.f64 x.im) x.im)) x.im))

soundness1.0s (13.9%)

Memory

24.8MiB live, 700.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	168	690
1	583	548
2	1931	481
3	6956	481
0	8097	468
0	44	247
0	69	247
1	229	219
0	1486	214
0	11	54
0	20	54
1	79	42
0	536	41
0	43	241
0	68	223
1	257	191
2	1800	191
0	8451	186
0	172	726
1	592	566
2	1891	488
3	6865	488
0	8107	475
0	43	258
0	69	252
1	257	228
2	1756	224
0	8368	215
0	57	180
1	182	170
2	586	170
3	2560	170
4	6935	170
0	8454	170

Stop Event

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

Compiler

Compiled 836 to 262 computations (68.7% saved)

preprocess114.0ms (1.6%)

Memory: -15.7MiB live, 182.4MiB allocated
Remove: (abs x.re)
Compiler: Compiled 1 622 to 450 computations (72.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.5s (21.1%)

explain202.0ms (2.8%)

preprocess408.0ms (5.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify351.0ms (4.8%)

localize82.0ms (1.1%)

series13.0ms (0.2%)

simplify179.0ms (2.4%)

rewrite142.0ms (1.9%)

eval8.0ms (0.1%)

prune75.0ms (1%)

simplify354.0ms (4.8%)

localize280.0ms (3.8%)

series102.0ms (1.4%)

simplify273.0ms (3.7%)

rewrite207.0ms (2.8%)

eval209.0ms (2.9%)

prune32.0ms (0.4%)

simplify188.0ms (2.6%)

localize89.0ms (1.2%)

series59.0ms (0.8%)

simplify114.0ms (1.6%)

rewrite61.0ms (0.8%)

eval41.0ms (0.6%)

prune35.0ms (0.5%)

simplify216.0ms (2.9%)

localize322.0ms (4.4%)

series15.0ms (0.2%)

simplify160.0ms (2.2%)

rewrite207.0ms (2.8%)

eval76.0ms (1%)

prune30.0ms (0.4%)

regimes24.0ms (0.3%)

regimes9.0ms (0.1%)

regimes15.0ms (0.2%)

regimes12.0ms (0.2%)

regimes4.0ms (0.1%)

bsearch17.0ms (0.2%)

bsearch1.0ms (0%)

bsearch17.0ms (0.2%)

bsearch1.0ms (0%)

simplify29.0ms (0.4%)

soundness1.0s (13.9%)

preprocess114.0ms (1.6%)

end0.0ms (0%)

Profiling