Metrics for math.cube on complex, imaginary part

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	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)

sample1.2s (16.6%)

Memory

47.1MiB live, 1 667.1MiB allocated

Samples

836.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 586.0ms

ival-mult: 449.0ms (76.6% of total)

ival-add: 92.0ms (15.7% of total)

ival-sub: 36.0ms (6.1% of total)

ival-true: 5.0ms (0.9% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

explain267.0ms (3.7%)

Memory

-5.5MiB live, 319.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
18	-	-	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)`
17	-	-	`(+.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))`
12	-	-	`(-.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**	18	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	17	0
↳	`(*.f64 x.re x.re)`	overflow	69
↳	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	overflow	116
↳	`(*.f64 x.im x.im)`	overflow	59
↳	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)`	overflow	121
↳	`(*.f64 x.im x.re)`	overflow	34
↳	`(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)`	overflow	64
↳	`(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))`	overflow	34
↳	`(*.f64 x.re x.im)`	overflow	34
`-.f64`	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	nan-rescue	12	0
↳	`(*.f64 x.re x.re)`	overflow	69
↳	`(*.f64 x.im x.im)`	overflow	59

Confusion

	Predicted +	Predicted -
+	41	0
-	0	215

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	41	0	0
-	0	0	215

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	215
1	35
2	6

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

73.0ms

512×

valid

Compiler

Compiled 153 to 37 computations (75.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-mult: 46.0ms (86% of total)

ival-add: 4.0ms (7.5% of total)

ival-sub: 2.0ms (3.7% of total)

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

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

preprocess205.0ms (2.9%)

Memory

-10.4MiB live, 272.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	31	103
1	114	87
2	408	85
3	1278	57
4	4725	57
0	11	19
0	20	19
1	44	17
2	145	17
3	565	11
4	1712	11
5	5603	11
0	8569	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))

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

Symmetry

(abs x.re)

(negabs x.im)

Compiler

Compiled 19 to 11 computations (42.1% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	84.3%	(+.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 19 to 11 computations (42.1% saved)

simplify587.0ms (8.2%)

Memory

-122.9MiB live, 243.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	65
0	20	65
1	44	59
2	145	59
3	565	53
4	1712	53
5	5603	53
0	8569	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))
(.f64 (fma.f64 #s(literal 3 binary64) (.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im)
(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
(.f64 (.f64 (+.f64 x.im x.re) 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.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)

localize32.0ms (0.4%)

Memory

10.3MiB live, 57.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.11328125	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
accuracy	2.6953001149812352	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
accuracy	4.298421777726104	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
accuracy	4.324183659113499	(+.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

25.0ms

256×

valid

Compiler

Compiled 67 to 13 computations (80.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 8.0ms (47.5% of total)

ival-add: 7.0ms (41.6% of total)

ival-sub: 1.0ms (5.9% of total)

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

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

series16.0ms (0.2%)

Memory

-36.5MiB live, 23.2MiB allocated

Counts

5 → 22

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

Outputs
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(* 2 (* x.im x.re))
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))
(* -1 (pow x.im 2))
(- (pow x.re 2) (pow x.im 2))
(* 2 (* x.im (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))))
(* 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)
(* (pow x.re 2) (+ 1 (* -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))))
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(* (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))
(* -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
6.0ms	x.im	@	-inf	((+ (* (- (* 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 x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
2.0ms	x.im	@	0	((+ (* (- (* 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 x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
2.0ms	x.im	@	inf	((+ (* (- (* 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 x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
2.0ms	x.re	@	0	((+ (* (- (* 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 x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
2.0ms	x.re	@	inf	((+ (* (- (* 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 x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))

simplify194.0ms (2.7%)

Memory

25.3MiB live, 158.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	215
1	202	207
2	773	206
3	4378	206
0	8308	201

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 22

Calls

Call 1

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

rewrite77.0ms (1.1%)

Memory

14.8MiB live, 108.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	51
0	20	51
1	89	39
0	691	38

Stop Event

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

Counts

5 → 119

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

Outputs
(/.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 (-.f64 (pow.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 3 binary64))) (+.f64 (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 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))))))
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eval32.0ms (0.4%)

Memory: -17.5MiB live, 28.9MiB allocated
Compiler: Compiled 3 305 to 481 computations (85.4% saved)

prune6.0ms (0.1%)

Memory

12.6MiB live, 12.6MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	128	7	135
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	129	7	136

Accuracy

100.0%

Counts

136 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	36.0%	(+.f64 (/.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 x.re x.im) (*.f64 x.im x.re)) x.re))
	29.7%	(+.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))) x.re) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))))
▶	57.9%	(+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (.f64 (.f64 x.im x.re) x.re)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
▶	57.0%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow.f64 (neg.f64 x.im) #s(literal 3 binary64)))
▶	75.6%	#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 (.f64 #s(literal 3 binary64) (/.f64 x.re x.im)) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64))))
▶	57.8%	#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.im) x.re))
▶	90.6%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 x.im) (fma.f64 x.im x.im (.f64 #s(literal -3 binary64) (*.f64 x.re x.re)))))

Compiler

Compiled 388 to 226 computations (41.8% saved)

simplify157.0ms (2.2%)

Memory

25.8MiB live, 170.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	282
0	59	282
1	125	268
2	357	268
3	1258	244
4	4584	244
0	9016	243

Stop Event

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

Calls

Call 1

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

localize147.0ms (2%)

Memory

-30.0MiB live, 128.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0	#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 (.f64 #s(literal 3 binary64) (/.f64 x.re x.im)) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64))))
accuracy	0.0546875	(fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 x.re x.im)) (/.f64 x.re x.im) #s(literal -1 binary64))
accuracy	0.26171875	(*.f64 #s(literal 3 binary64) (/.f64 x.re x.im))
accuracy	14.921779474609002	(.f64 (fma.f64 (.f64 #s(literal 3 binary64) (/.f64 x.re x.im)) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
accuracy	0.0	(pow.f64 (neg.f64 x.im) #s(literal 3 binary64))
accuracy	0.0	(neg.f64 x.im)
accuracy	27.517073857813216	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow.f64 (neg.f64 x.im) #s(literal 3 binary64)))
accuracy	0.11328125	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
accuracy	0.1171875	(.f64 (.f64 x.im x.re) x.re)
accuracy	4.324183659113499	(+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (.f64 (.f64 x.im x.re) x.re)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
accuracy	26.874153602726594	#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (.f64 (.f64 x.im x.re) x.re))
accuracy	0.0	(*.f64 #s(literal 3 binary64) x.re)
accuracy	0.140625	(.f64 (.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re)
accuracy	0.234375	(.f64 (.f64 #s(literal 3 binary64) x.re) x.im)
accuracy	26.87441122613225	#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.im) x.re))
accuracy	0.0	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 x.im) (fma.f64 x.im x.im (.f64 #s(literal -3 binary64) (*.f64 x.re x.re)))))
accuracy	0.140625	(.f64 #s(literal -3 binary64) (.f64 x.re x.re))
accuracy	1.4999834856333614	(fma.f64 x.im x.im (.f64 #s(literal -3 binary64) (.f64 x.re x.re)))
accuracy	4.535543660816715	(.f64 (neg.f64 x.im) (fma.f64 x.im x.im (.f64 #s(literal -3 binary64) (*.f64 x.re x.re))))

Samples

101.0ms

256×

valid

Compiler

Compiled 236 to 31 computations (86.9% saved)

Precisions

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

ival-add: 48.0ms (59.3% of total)

ival-mult: 20.0ms (24.7% of total)

ival-pow: 8.0ms (9.9% of total)

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

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

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

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

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

exact: 0.0ms (0% of total)

series29.0ms (0.4%)

Memory

-22.0MiB live, 69.2MiB allocated

Counts

20 → 36

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

Outputs
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(pow x.im 2)
(+ (* -3 (pow x.re 2)) (pow x.im 2))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im x.re))
(* 3 x.re)
(* 2 (* x.im x.re))
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))
(* x.im (pow x.re 2))
-1
(- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)
(* 3 (/ x.re x.im))
(* -3 (pow x.re 2))
(* 2 (* x.im (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))))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(* 3 (/ (pow x.re 2) (pow x.im 2)))
(* (pow x.re 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (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))))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(* -1 x.im)
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(/ (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))) (pow x.im 2))
(* (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) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 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 (* -3 (/ (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
7.0ms	x.re	@	inf	((+ (* (- (* 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 x.im) (* -3 (* x.re x.re)))) (neg x.im) (+ (* x.im x.im) (* -3 (* x.re x.re))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* 3 x.re) x.im) x.re) (* (* 3 x.re) x.im) (* 3 x.re) (+ (* x.re 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 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)) (pow (neg x.im) 3) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* (* 3 (/ x.re x.im)) (/ x.re x.im)) -1) (pow x.im 3)) (+ (* (* 3 (/ x.re x.im)) (/ x.re x.im)) -1) (* 3 (/ x.re x.im)) (* -3 (* x.re x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
6.0ms	x.im	@	inf	((+ (* (- (* 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 x.im) (* -3 (* x.re x.re)))) (neg x.im) (+ (* x.im x.im) (* -3 (* x.re x.re))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* 3 x.re) x.im) x.re) (* (* 3 x.re) x.im) (* 3 x.re) (+ (* x.re 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 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)) (pow (neg x.im) 3) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* (* 3 (/ x.re x.im)) (/ x.re x.im)) -1) (pow x.im 3)) (+ (* (* 3 (/ x.re x.im)) (/ x.re x.im)) -1) (* 3 (/ x.re x.im)) (* -3 (* x.re x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
5.0ms	x.im	@	-inf	((+ (* (- (* 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 x.im) (* -3 (* x.re x.re)))) (neg x.im) (+ (* x.im x.im) (* -3 (* x.re x.re))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* 3 x.re) x.im) x.re) (* (* 3 x.re) x.im) (* 3 x.re) (+ (* x.re 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 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)) (pow (neg x.im) 3) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* (* 3 (/ x.re x.im)) (/ x.re x.im)) -1) (pow x.im 3)) (+ (* (* 3 (/ x.re x.im)) (/ x.re x.im)) -1) (* 3 (/ x.re x.im)) (* -3 (* x.re x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
4.0ms	x.re	@	0	((+ (* (- (* 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 x.im) (* -3 (* x.re x.re)))) (neg x.im) (+ (* x.im x.im) (* -3 (* x.re x.re))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* 3 x.re) x.im) x.re) (* (* 3 x.re) x.im) (* 3 x.re) (+ (* x.re 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 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)) (pow (neg x.im) 3) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* (* 3 (/ x.re x.im)) (/ x.re x.im)) -1) (pow x.im 3)) (+ (* (* 3 (/ x.re x.im)) (/ x.re x.im)) -1) (* 3 (/ x.re x.im)) (* -3 (* x.re x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
3.0ms	x.re	@	-inf	((+ (* (- (* 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 x.im) (* -3 (* x.re x.re)))) (neg x.im) (+ (* x.im x.im) (* -3 (* x.re x.re))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* 3 x.re) x.im) x.re) (* (* 3 x.re) x.im) (* 3 x.re) (+ (* x.re 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 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)) (pow (neg x.im) 3) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* (* 3 (/ x.re x.im)) (/ x.re x.im)) -1) (pow x.im 3)) (+ (* (* 3 (/ x.re x.im)) (/ x.re x.im)) -1) (* 3 (/ x.re x.im)) (* -3 (* x.re x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))

simplify180.0ms (2.5%)

Memory

31.3MiB live, 127.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	353
1	272	340
2	904	332
3	4865	332
0	8420	322

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 36

Calls

Call 1

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

rewrite183.0ms (2.5%)

Memory

8.0MiB live, 198.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	251
0	59	251
1	215	218
2	1422	218
0	8169	204

Stop Event

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

Counts

20 → 413

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

eval112.0ms (1.6%)

Memory: -2.9MiB live, 86.2MiB allocated
Compiler: Compiled 20 998 to 1 714 computations (91.8% saved)

prune37.0ms (0.5%)

Memory

-6.7MiB live, 38.7MiB allocated

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	436	9	445
Fresh	2	0	2
Picked	4	1	5
Done	0	0	0
Total	442	10	452

Accuracy

100.0%

Counts

452 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	57.0%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow.f64 (neg.f64 x.im) #s(literal 3 binary64)))
	12.3%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (/.f64 (-.f64 (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 x.im) #s(literal -3 binary64)) (.f64 x.re x.re)) #s(literal 2 binary64))) (.f64 (fma.f64 (.f64 x.re x.re) #s(literal -3 binary64) (.f64 x.im x.im)) x.im)))
	51.3%	#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)))
▶	57.9%	#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.im #s(literal 3 binary64)) x.re) x.re))
	56.9%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (neg.f64 x.im) x.im) x.im))
	57.9%	#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.im x.re) (*.f64 #s(literal 3 binary64) x.re)))
▶	20.5%	#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.im x.im) x.im))
▶	39.6%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 x.im) (/.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (.f64 (.f64 (neg.f64 (neg.f64 x.im)) (neg.f64 x.im)) (.f64 (neg.f64 (neg.f64 x.im)) (neg.f64 x.im)))) (fma.f64 (.f64 #s(literal -3 binary64) x.re) x.re (*.f64 (neg.f64 (neg.f64 x.im)) (neg.f64 x.im))))))
▶	73.2%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 x.im) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (.f64 (-.f64 (.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im) #s(literal 3 binary64)) (*.f64 x.re x.re)))))
▶	57.9%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(literal 3 binary64) (.f64 (*.f64 x.im x.re) x.re)))

Compiler

Compiled 632 to 355 computations (43.8% saved)

simplify241.0ms (3.4%)

Memory

0.7MiB live, 194.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	453
0	76	411
1	165	387
2	437	377
3	1398	345
4	3730	345
5	7053	345
0	8213	338

Stop Event

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

Calls

Call 1

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

localize239.0ms (3.3%)

Memory

2.5MiB live, 109.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.1484375	(.f64 (.f64 (neg.f64 (neg.f64 x.im)) (neg.f64 x.im)) (*.f64 (neg.f64 (neg.f64 x.im)) (neg.f64 x.im)))
accuracy	4.535543660816715	(.f64 (neg.f64 x.im) (/.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (.f64 (.f64 (neg.f64 (neg.f64 x.im)) (neg.f64 x.im)) (.f64 (neg.f64 (neg.f64 x.im)) (neg.f64 x.im)))) (fma.f64 (.f64 #s(literal -3 binary64) x.re) x.re (*.f64 (neg.f64 (neg.f64 x.im)) (neg.f64 x.im)))))
accuracy	7.535125287453088	(-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (.f64 (.f64 (neg.f64 (neg.f64 x.im)) (neg.f64 x.im)) (.f64 (neg.f64 (neg.f64 x.im)) (neg.f64 x.im))))
accuracy	45.100495024469005	(/.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (.f64 (.f64 (neg.f64 (neg.f64 x.im)) (neg.f64 x.im)) (.f64 (neg.f64 (neg.f64 x.im)) (neg.f64 x.im)))) (fma.f64 (.f64 #s(literal -3 binary64) x.re) x.re (.f64 (neg.f64 (neg.f64 x.im)) (neg.f64 x.im))))
accuracy	0.0	(*.f64 x.im #s(literal 3 binary64))
accuracy	0.140625	(.f64 (.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re)
accuracy	0.22265625	(.f64 (.f64 x.im #s(literal 3 binary64)) x.re)
accuracy	26.87441122613225	#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.im #s(literal 3 binary64)) x.re) x.re))
accuracy	0.0	(*.f64 x.im x.re)
accuracy	0.1171875	(.f64 (.f64 x.im x.re) x.re)
accuracy	0.1484375	(.f64 #s(literal 3 binary64) (.f64 (*.f64 x.im x.re) x.re))
accuracy	26.87441122613225	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(literal 3 binary64) (.f64 (*.f64 x.im x.re) x.re)))
accuracy	0.0	(*.f64 x.im x.im)
accuracy	0.09375	(.f64 (.f64 x.im x.im) x.im)
accuracy	50.904595629661536	#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.im x.im) x.im))
accuracy	0.09765625	(/.f64 (/.f64 x.im x.re) x.re)
accuracy	3.8488525910205675	(*.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im)
accuracy	4.535543660816715	(.f64 (neg.f64 x.im) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (.f64 (-.f64 (.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im) #s(literal 3 binary64)) (*.f64 x.re x.re))))
accuracy	13.067374601103493	(.f64 (-.f64 (.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im) #s(literal 3 binary64)) (*.f64 x.re x.re))

Samples

190.0ms

256×

valid

Compiler

Compiled 346 to 43 computations (87.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 171.0ms

ival-mult: 90.0ms (52.7% of total)

ival-sub: 67.0ms (39.3% of total)

ival-div: 4.0ms (2.3% of total)

ival-add: 4.0ms (2.3% of total)

ival-pow: 3.0ms (1.8% of total)

ival-neg: 2.0ms (1.2% of total)

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

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

exact: 0.0ms (0% of total)

series46.0ms (0.6%)

Memory

-23.8MiB live, 22.6MiB allocated

Counts

24 → 35

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

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

Calls

6 calls:

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

simplify195.0ms (2.7%)

Memory

2.6MiB live, 98.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	307
1	252	298
2	793	296
3	4220	296
0	8272	290

Stop Event

1×	iter limit
1×	node limit

Counts

35 → 34

Calls

Call 1

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

rewrite209.0ms (2.9%)

Memory

31.5MiB live, 121.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	393
0	76	346
1	276	281
2	1729	255
0	9507	244

Stop Event

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

Counts

24 → 506

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 (neg.f64 x.im) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (.f64 (-.f64 (.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im) #s(literal 3 binary64)) (*.f64 x.re x.re)))))
(.f64 (neg.f64 x.im) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (.f64 (-.f64 (.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im) #s(literal 3 binary64)) (*.f64 x.re x.re))))
(neg.f64 x.im)
#s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (.f64 (-.f64 (.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im) #s(literal 3 binary64)) (*.f64 x.re x.re)))
(.f64 (.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 (.f64 x.im 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 #s(literal 3 binary64) (.f64 (*.f64 x.im x.re) x.re)))
(.f64 #s(literal 3 binary64) (.f64 (*.f64 x.im x.re) x.re))
(.f64 (.f64 x.im x.re) x.re)
(*.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.im #s(literal 3 binary64)) x.re) x.re))
(.f64 (.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re)
(.f64 (.f64 x.im #s(literal 3 binary64)) x.re)
(*.f64 x.im #s(literal 3 binary64))
(.f64 (.f64 (neg.f64 (neg.f64 x.im)) (neg.f64 x.im)) (*.f64 (neg.f64 (neg.f64 x.im)) (neg.f64 x.im)))
(/.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (.f64 (.f64 (neg.f64 (neg.f64 x.im)) (neg.f64 x.im)) (.f64 (neg.f64 (neg.f64 x.im)) (neg.f64 x.im)))) (fma.f64 (.f64 #s(literal -3 binary64) x.re) x.re (.f64 (neg.f64 (neg.f64 x.im)) (neg.f64 x.im))))
(neg.f64 (neg.f64 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 (neg.f64 x.im) (/.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (.f64 (.f64 (neg.f64 (neg.f64 x.im)) (neg.f64 x.im)) (.f64 (neg.f64 (neg.f64 x.im)) (neg.f64 x.im)))) (fma.f64 (.f64 #s(literal -3 binary64) x.re) x.re (*.f64 (neg.f64 (neg.f64 x.im)) (neg.f64 x.im))))))
(.f64 (-.f64 (.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im) #s(literal 3 binary64)) (*.f64 x.re x.re))
(*.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im)
(/.f64 (/.f64 x.im x.re) x.re)
(-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (.f64 (.f64 (neg.f64 (neg.f64 x.im)) (neg.f64 x.im)) (.f64 (neg.f64 (neg.f64 x.im)) (neg.f64 x.im))))
(.f64 (neg.f64 x.im) (/.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (.f64 (.f64 (neg.f64 (neg.f64 x.im)) (neg.f64 x.im)) (.f64 (neg.f64 (neg.f64 x.im)) (neg.f64 x.im)))) (fma.f64 (.f64 #s(literal -3 binary64) x.re) x.re (*.f64 (neg.f64 (neg.f64 x.im)) (neg.f64 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 (+ ( x.im x.im) (* -3 (* x.re x.re))) (.f64 (.f64 (-.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 3 binary64)) x.re) x.re)) (neg.f64 x.im)))
(.f64 #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (.f64 (.f64 (-.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 3 binary64)) x.re) x.re)) (neg.f64 x.im))
(.f64 (neg.f64 x.im) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (.f64 (.f64 (-.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 3 binary64)) x.re) x.re)))
(.f64 x.im (neg.f64 #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (.f64 (.f64 (-.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 3 binary64)) x.re) x.re))))
(neg.f64 (.f64 #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (.f64 (.f64 (-.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 3 binary64)) x.re) x.re)) x.im))
(neg.f64 x.im)
#s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (.f64 (.f64 (-.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 3 binary64)) x.re) x.re))
(.f64 (pow.f64 (.f64 x.im x.im) #s(literal 3/4 binary64)) (pow.f64 (*.f64 x.im x.im) #s(literal 3/4 binary64)))
(*.f64 (neg.f64 (pow.f64 x.im #s(literal 3/2 binary64))) (neg.f64 (pow.f64 x.im #s(literal 3/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 x.im #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 x.im #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (neg.f64 x.im) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 x.im) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (neg.f64 x.im) #s(literal 3/2 binary64)) (pow.f64 x.im #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x.im #s(literal 3/2 binary64)) (pow.f64 (neg.f64 x.im) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x.im #s(literal 3/2 binary64)) (pow.f64 x.im #s(literal 3/2 binary64)))
(.f64 (neg.f64 x.im) (.f64 x.im x.im))
(.f64 (.f64 x.im x.im) (neg.f64 x.im))
(.f64 (.f64 x.im x.im) x.im)
(.f64 x.im (.f64 x.im x.im))
(pow.f64 (exp.f64 (log.f64 x.im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x.im #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 3/4 binary64))
(pow.f64 (neg.f64 x.im) #s(literal 3 binary64))
(pow.f64 (*.f64 x.im x.im) #s(literal 3/2 binary64))
(pow.f64 x.im #s(literal 3 binary64))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(sqrt.f64 (pow.f64 x.im #s(literal 6 binary64)))
(fabs.f64 (pow.f64 x.im #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x.im) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 x.im)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 x.im) #s(literal 3 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x.im) #s(literal 3 binary64))) (sinh.f64 (.f64 (log.f64 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)) (pow.f64 x.im #s(literal 3 binary64)))
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(-.f64 (/.f64 (.f64 (pow.f64 x.re #s(literal 12 binary64)) #s(literal 729 binary64)) (fma.f64 (pow.f64 x.re #s(literal 8 binary64)) #s(literal 81 binary64) (fma.f64 (pow.f64 (.f64 x.im x.re) #s(literal 4 binary64)) #s(literal 9 binary64) (pow.f64 x.im #s(literal 8 binary64))))) (/.f64 (pow.f64 x.im #s(literal 12 binary64)) (fma.f64 (pow.f64 x.re #s(literal 8 binary64)) #s(literal 81 binary64) (fma.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 4 binary64)) #s(literal 9 binary64) (pow.f64 x.im #s(literal 8 binary64))))))
(-.f64 (*.f64 (pow.f64 x.re #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 x.im #s(literal 4 binary64)))
(-.f64 (pow.f64 x.im #s(literal 4 binary64)) (.f64 (neg.f64 (neg.f64 (.f64 (.f64 #s(literal -3 binary64) x.re) x.re))) (.f64 (*.f64 #s(literal -3 binary64) x.re) x.re)))
(-.f64 (pow.f64 x.im #s(literal 4 binary64)) (.f64 (neg.f64 (.f64 (.f64 (.f64 #s(literal -3 binary64) x.re) x.re) (*.f64 #s(literal -3 binary64) x.re))) x.re))
(-.f64 (pow.f64 x.im #s(literal 4 binary64)) (.f64 (neg.f64 (.f64 (.f64 (.f64 #s(literal -3 binary64) x.re) x.re) #s(literal -3 binary64))) (*.f64 x.re x.re)))
(-.f64 (pow.f64 x.im #s(literal 4 binary64)) (.f64 (neg.f64 (.f64 (.f64 (.f64 #s(literal -3 binary64) x.re) x.re) (*.f64 x.re x.re))) #s(literal -3 binary64)))
(-.f64 (pow.f64 x.im #s(literal 4 binary64)) (.f64 (neg.f64 (.f64 (.f64 (.f64 #s(literal -3 binary64) x.re) x.re) x.re)) (*.f64 #s(literal -3 binary64) x.re)))
(-.f64 (pow.f64 x.im #s(literal 4 binary64)) (.f64 (neg.f64 (.f64 #s(literal 9 binary64) (.f64 x.re x.re))) (.f64 x.re x.re)))
(-.f64 (pow.f64 x.im #s(literal 4 binary64)) (.f64 (neg.f64 (neg.f64 (.f64 (.f64 #s(literal -3 binary64) x.re) x.re))) (neg.f64 (.f64 (*.f64 #s(literal -3 binary64) x.re) x.re))))
(-.f64 (pow.f64 x.im #s(literal 4 binary64)) (.f64 (neg.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re))) (.f64 #s(literal 3 binary64) (*.f64 x.re x.re))))
(-.f64 (pow.f64 x.im #s(literal 4 binary64)) (.f64 (neg.f64 (.f64 #s(literal -3 binary64) x.re)) (.f64 x.re (.f64 (*.f64 #s(literal -3 binary64) x.re) x.re))))
(-.f64 (pow.f64 x.im #s(literal 4 binary64)) (*.f64 (neg.f64 (pow.f64 x.re #s(literal 4 binary64))) #s(literal 9 binary64)))
(-.f64 (pow.f64 x.im #s(literal 4 binary64)) (*.f64 #s(literal -9 binary64) (pow.f64 x.re #s(literal 4 binary64))))
(-.f64 (pow.f64 x.im #s(literal 4 binary64)) (.f64 #s(literal 3 binary64) (.f64 (.f64 x.re x.re) (.f64 (*.f64 #s(literal -3 binary64) x.re) x.re))))
(-.f64 (pow.f64 x.im #s(literal 4 binary64)) (.f64 (neg.f64 (.f64 x.re x.re)) (.f64 #s(literal -3 binary64) (.f64 (*.f64 #s(literal -3 binary64) x.re) x.re))))
(-.f64 (pow.f64 x.im #s(literal 4 binary64)) (.f64 (neg.f64 (.f64 x.re x.re)) (.f64 #s(literal 9 binary64) (.f64 x.re x.re))))
(-.f64 (pow.f64 x.im #s(literal 4 binary64)) (.f64 (neg.f64 x.re) (.f64 (.f64 #s(literal -3 binary64) x.re) (.f64 (*.f64 #s(literal -3 binary64) x.re) x.re))))
(-.f64 (pow.f64 x.im #s(literal 4 binary64)) (.f64 (neg.f64 (.f64 (.f64 #s(literal -3 binary64) x.re) x.re)) (.f64 (*.f64 #s(literal -3 binary64) x.re) x.re)))
(-.f64 (pow.f64 x.im #s(literal 4 binary64)) (*.f64 (pow.f64 x.re #s(literal 4 binary64)) #s(literal 9 binary64)))
(+.f64 (/.f64 (*.f64 (pow.f64 x.re #s(literal 8 binary64)) #s(literal 81 binary64)) (fma.f64 (pow.f64 x.re #s(literal 4 binary64)) #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64)))) (/.f64 (pow.f64 x.im #s(literal 8 binary64)) (fma.f64 (pow.f64 x.re #s(literal 4 binary64)) #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64)))))
(+.f64 (/.f64 (.f64 (pow.f64 x.re #s(literal 12 binary64)) #s(literal 729 binary64)) (fma.f64 (pow.f64 x.re #s(literal 8 binary64)) #s(literal 81 binary64) (fma.f64 (pow.f64 (.f64 x.im x.re) #s(literal 4 binary64)) #s(literal 9 binary64) (pow.f64 x.im #s(literal 8 binary64))))) (/.f64 (pow.f64 x.im #s(literal 12 binary64)) (fma.f64 (pow.f64 x.re #s(literal 8 binary64)) #s(literal 81 binary64) (fma.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 4 binary64)) #s(literal 9 binary64) (pow.f64 x.im #s(literal 8 binary64))))))
(+.f64 (*.f64 (pow.f64 x.re #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 x.im #s(literal 4 binary64)))
(+.f64 (pow.f64 x.im #s(literal 4 binary64)) (.f64 (neg.f64 (.f64 (.f64 #s(literal -3 binary64) x.re) x.re)) (.f64 (*.f64 #s(literal -3 binary64) x.re) x.re)))
(+.f64 (pow.f64 x.im #s(literal 4 binary64)) (*.f64 (pow.f64 x.re #s(literal 4 binary64)) #s(literal 9 binary64)))
(.f64 (/.f64 (.f64 (fma.f64 (pow.f64 x.re #s(literal 4 binary64)) #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (neg.f64 x.im)) (fma.f64 (pow.f64 x.re #s(literal 4 binary64)) #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64)))) (fma.f64 (.f64 #s(literal -3 binary64) x.re) x.re (.f64 x.im x.im)))
(.f64 (/.f64 (.f64 (fma.f64 (pow.f64 x.re #s(literal 4 binary64)) #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (neg.f64 x.im)) (fma.f64 #s(literal -27 binary64) (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (fma.f64 (pow.f64 x.re #s(literal 4 binary64)) #s(literal 9 binary64) (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (.f64 #s(literal 3 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64))))))
(.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.re) x.re (*.f64 x.im x.im)) (neg.f64 x.im))
(.f64 (neg.f64 x.im) (fma.f64 (.f64 #s(literal -3 binary64) x.re) x.re (*.f64 x.im x.im)))
(.f64 x.im (neg.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.re) x.re (*.f64 x.im x.im))))
(/.f64 (neg.f64 (.f64 (neg.f64 (fma.f64 (pow.f64 x.re #s(literal 4 binary64)) #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64)))) (neg.f64 x.im))) (fma.f64 (.f64 #s(literal -3 binary64) x.re) x.re (*.f64 x.im x.im)))
(/.f64 (neg.f64 (.f64 (neg.f64 x.im) (neg.f64 (fma.f64 (pow.f64 x.re #s(literal 4 binary64)) #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64)))))) (fma.f64 (.f64 #s(literal -3 binary64) x.re) x.re (*.f64 x.im x.im)))
(/.f64 (neg.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 x.re #s(literal 4 binary64)) #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (neg.f64 x.im)))) (fma.f64 (.f64 #s(literal -3 binary64) x.re) x.re (*.f64 x.im x.im)))
(/.f64 (.f64 (neg.f64 (fma.f64 (pow.f64 x.re #s(literal 4 binary64)) #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64)))) (neg.f64 x.im)) (neg.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.re) x.re (*.f64 x.im x.im))))
(/.f64 (.f64 (neg.f64 x.im) (neg.f64 (fma.f64 (pow.f64 x.re #s(literal 4 binary64)) #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))))) (neg.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.re) x.re (*.f64 x.im x.im))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 x.re #s(literal 4 binary64)) #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (neg.f64 x.im))) (neg.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.re) x.re (*.f64 x.im x.im))))
(/.f64 (.f64 (fma.f64 (pow.f64 x.re #s(literal 4 binary64)) #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (neg.f64 x.im)) (fma.f64 (.f64 #s(literal -3 binary64) x.re) x.re (*.f64 x.im x.im)))
(neg.f64 (.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.re) x.re (*.f64 x.im x.im)) x.im))
(+.f64 (/.f64 (.f64 (.f64 (pow.f64 x.re #s(literal 4 binary64)) #s(literal 9 binary64)) (neg.f64 x.im)) (fma.f64 (.f64 #s(literal -3 binary64) x.re) x.re (.f64 x.im x.im))) (/.f64 (.f64 (pow.f64 x.im #s(literal 4 binary64)) (neg.f64 x.im)) (fma.f64 (.f64 #s(literal -3 binary64) x.re) x.re (*.f64 x.im x.im))))
(+.f64 (/.f64 (.f64 (neg.f64 x.im) (.f64 (pow.f64 x.re #s(literal 4 binary64)) #s(literal 9 binary64))) (fma.f64 (.f64 #s(literal -3 binary64) x.re) x.re (.f64 x.im x.im))) (/.f64 (.f64 (neg.f64 x.im) (pow.f64 x.im #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal -3 binary64) x.re) x.re (*.f64 x.im x.im))))

eval148.0ms (2.1%)

Memory: -34.3MiB live, 67.9MiB allocated
Compiler: Compiled 28 626 to 2 509 computations (91.2% saved)

prune20.0ms (0.3%)

Memory

31.8MiB live, 31.8MiB allocated

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	560	3	563
Fresh	1	3	4
Picked	1	4	5
Done	0	1	1
Total	562	11	573

Accuracy

100.0%

Counts

573 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	57.0%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow.f64 (neg.f64 x.im) #s(literal 3 binary64)))
	12.3%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (/.f64 (-.f64 (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 x.im) #s(literal -3 binary64)) (.f64 x.re x.re)) #s(literal 2 binary64))) (.f64 (fma.f64 (.f64 x.re x.re) #s(literal -3 binary64) (.f64 x.im x.im)) x.im)))
✓	57.9%	#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.im #s(literal 3 binary64)) x.re) x.re))
▶	56.9%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (neg.f64 x.im) x.im) x.im))
▶	51.3%	#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)))
▶	57.9%	#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.im x.re) (*.f64 #s(literal 3 binary64) x.re)))
✓	20.5%	#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.im x.im) x.im))
▶	21.0%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 x.im) (/.f64 #s(approx (- ( 9 (pow x.re 4)) (* (* (neg (neg x.im)) (neg x.im)) (* (neg (neg x.im)) (neg x.im)))) (.f64 (pow.f64 x.re #s(literal 4 binary64)) #s(literal 9 binary64))) (fma.f64 (.f64 #s(literal -3 binary64) x.re) x.re (*.f64 (neg.f64 (neg.f64 x.im)) (neg.f64 x.im))))))
✓	73.2%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 x.im) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (.f64 (-.f64 (.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im) #s(literal 3 binary64)) (*.f64 x.re x.re)))))
▶	68.0%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 x.im) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (.f64 (-.f64 (.f64 (/.f64 x.im (.f64 x.re x.re)) x.im) #s(literal 3 binary64)) (.f64 x.re x.re)))))
✓	57.9%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(literal 3 binary64) (.f64 (*.f64 x.im x.re) x.re)))

Compiler

Compiled 611 to 348 computations (43% saved)

simplify240.0ms (3.4%)

Memory

-3.6MiB live, 86.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	462
0	78	426
1	166	408
2	444	400
3	1357	364
4	3154	364
5	6141	364
0	8543	359

Stop Event

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

Calls

Call 1

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

localize152.0ms (2.1%)

Memory

-22.2MiB live, 81.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.08984375	(*.f64 (pow.f64 x.re #s(literal 4 binary64)) #s(literal 9 binary64))
accuracy	4.535543660816715	(.f64 (neg.f64 x.im) (/.f64 #s(approx (- ( 9 (pow x.re 4)) (* (* (neg (neg x.im)) (neg x.im)) (* (neg (neg x.im)) (neg x.im)))) (.f64 (pow.f64 x.re #s(literal 4 binary64)) #s(literal 9 binary64))) (fma.f64 (.f64 #s(literal -3 binary64) x.re) x.re (*.f64 (neg.f64 (neg.f64 x.im)) (neg.f64 x.im)))))
accuracy	26.28511065910315	#s(approx (- (* 9 (pow x.re 4)) (* (* (neg (neg x.im)) (neg x.im)) (* (neg (neg x.im)) (neg x.im)))) (*.f64 (pow.f64 x.re #s(literal 4 binary64)) #s(literal 9 binary64)))
accuracy	45.100495024469005	(/.f64 #s(approx (- (* 9 (pow x.re 4)) (* (* (neg (neg x.im)) (neg x.im)) (* (neg (neg x.im)) (neg x.im)))) (.f64 (pow.f64 x.re #s(literal 4 binary64)) #s(literal 9 binary64))) (fma.f64 (.f64 #s(literal -3 binary64) x.re) x.re (*.f64 (neg.f64 (neg.f64 x.im)) (neg.f64 x.im))))
accuracy	0.0	(*.f64 x.re x.re)
accuracy	0.0	(*.f64 #s(literal 3 binary64) x.im)
accuracy	7.366803892451079	(.f64 (.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im))
accuracy	26.87441122613225	#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)))
accuracy	0.0	(*.f64 x.im x.re)
accuracy	0.0	(*.f64 #s(literal 3 binary64) x.re)
accuracy	0.1875	(.f64 (.f64 x.im x.re) (*.f64 #s(literal 3 binary64) x.re))
accuracy	26.87441122613225	#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.im x.re) (*.f64 #s(literal 3 binary64) x.re)))
accuracy	0.0	(*.f64 (neg.f64 x.im) x.im)
accuracy	0.0	(neg.f64 x.im)
accuracy	0.09375	(.f64 (.f64 (neg.f64 x.im) x.im) x.im)
accuracy	27.517073857813216	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (neg.f64 x.im) x.im) x.im))
accuracy	3.8488525910205675	(.f64 (/.f64 x.im (.f64 x.re x.re)) x.im)
accuracy	4.535543660816715	(.f64 (neg.f64 x.im) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (.f64 (-.f64 (.f64 (/.f64 x.im (.f64 x.re x.re)) x.im) #s(literal 3 binary64)) (.f64 x.re x.re))))
accuracy	5.69341405060684	(/.f64 x.im (*.f64 x.re x.re))
accuracy	13.067374601103493	(.f64 (-.f64 (.f64 (/.f64 x.im (.f64 x.re x.re)) x.im) #s(literal 3 binary64)) (.f64 x.re x.re))

Samples

104.0ms

256×

valid

Compiler

Compiled 330 to 43 computations (87% saved)

Precisions

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

ival-mult: 50.0ms (76.3% of total)

ival-add: 4.0ms (6.1% of total)

ival-div: 3.0ms (4.6% of total)

ival-sub: 3.0ms (4.6% of total)

ival-pow: 3.0ms (4.6% of total)

ival-neg: 2.0ms (3.1% of total)

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

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

exact: 0.0ms (0% of total)

series71.0ms (1%)

Memory

-0.5MiB live, 43.6MiB allocated

Counts

24 → 34

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

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

Calls

6 calls:

Time	Variable		Point	Expression
52.0ms	x.im	@	inf	((+ (* (- (* 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 x.im) (* -3 (* x.re x.re)))) (neg x.im) (+ (* x.im x.im) (* -3 (* x.re x.re))) (* (* (neg 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)) (* (neg 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.im x.re) (* 3 x.re)) (* x.im 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)) (* (* x.re x.re) (* 3 x.im)) (* x.re x.re) (* 3 x.im) (* (neg x.im) (/ (- (* 9 (pow x.re 4)) (* (* (neg (neg x.im)) (neg x.im)) (* (neg (neg x.im)) (neg x.im)))) (+ (* (* -3 x.re) x.re) (* (neg (neg x.im)) (neg x.im))))) (neg (neg x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* (/ x.im (* x.re x.re)) x.im) 3) (* x.re x.re)) (/ x.im (* x.re x.re)) (* (/ x.im (* x.re x.re)) x.im) (/ (- (* 9 (pow x.re 4)) (* (* (neg (neg x.im)) (neg x.im)) (* (neg (neg x.im)) (neg x.im)))) (+ (* (* -3 x.re) x.re) (* (neg (neg x.im)) (neg x.im)))) (- (* 9 (pow x.re 4)) (* (* (neg (neg x.im)) (neg x.im)) (* (neg (neg x.im)) (neg x.im)))) (* (pow x.re 4) 9))
4.0ms	x.im	@	-inf	((+ (* (- (* 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 x.im) (* -3 (* x.re x.re)))) (neg x.im) (+ (* x.im x.im) (* -3 (* x.re x.re))) (* (* (neg 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)) (* (neg 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.im x.re) (* 3 x.re)) (* x.im 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)) (* (* x.re x.re) (* 3 x.im)) (* x.re x.re) (* 3 x.im) (* (neg x.im) (/ (- (* 9 (pow x.re 4)) (* (* (neg (neg x.im)) (neg x.im)) (* (neg (neg x.im)) (neg x.im)))) (+ (* (* -3 x.re) x.re) (* (neg (neg x.im)) (neg x.im))))) (neg (neg x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* (/ x.im (* x.re x.re)) x.im) 3) (* x.re x.re)) (/ x.im (* x.re x.re)) (* (/ x.im (* x.re x.re)) x.im) (/ (- (* 9 (pow x.re 4)) (* (* (neg (neg x.im)) (neg x.im)) (* (neg (neg x.im)) (neg x.im)))) (+ (* (* -3 x.re) x.re) (* (neg (neg x.im)) (neg x.im)))) (- (* 9 (pow x.re 4)) (* (* (neg (neg x.im)) (neg x.im)) (* (neg (neg x.im)) (neg x.im)))) (* (pow x.re 4) 9))
4.0ms	x.re	@	inf	((+ (* (- (* 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 x.im) (* -3 (* x.re x.re)))) (neg x.im) (+ (* x.im x.im) (* -3 (* x.re x.re))) (* (* (neg 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)) (* (neg 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.im x.re) (* 3 x.re)) (* x.im 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)) (* (* x.re x.re) (* 3 x.im)) (* x.re x.re) (* 3 x.im) (* (neg x.im) (/ (- (* 9 (pow x.re 4)) (* (* (neg (neg x.im)) (neg x.im)) (* (neg (neg x.im)) (neg x.im)))) (+ (* (* -3 x.re) x.re) (* (neg (neg x.im)) (neg x.im))))) (neg (neg x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* (/ x.im (* x.re x.re)) x.im) 3) (* x.re x.re)) (/ x.im (* x.re x.re)) (* (/ x.im (* x.re x.re)) x.im) (/ (- (* 9 (pow x.re 4)) (* (* (neg (neg x.im)) (neg x.im)) (* (neg (neg x.im)) (neg x.im)))) (+ (* (* -3 x.re) x.re) (* (neg (neg x.im)) (neg x.im)))) (- (* 9 (pow x.re 4)) (* (* (neg (neg x.im)) (neg x.im)) (* (neg (neg x.im)) (neg x.im)))) (* (pow x.re 4) 9))
3.0ms	x.re	@	-inf	((+ (* (- (* 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 x.im) (* -3 (* x.re x.re)))) (neg x.im) (+ (* x.im x.im) (* -3 (* x.re x.re))) (* (* (neg 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)) (* (neg 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.im x.re) (* 3 x.re)) (* x.im 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)) (* (* x.re x.re) (* 3 x.im)) (* x.re x.re) (* 3 x.im) (* (neg x.im) (/ (- (* 9 (pow x.re 4)) (* (* (neg (neg x.im)) (neg x.im)) (* (neg (neg x.im)) (neg x.im)))) (+ (* (* -3 x.re) x.re) (* (neg (neg x.im)) (neg x.im))))) (neg (neg x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* (/ x.im (* x.re x.re)) x.im) 3) (* x.re x.re)) (/ x.im (* x.re x.re)) (* (/ x.im (* x.re x.re)) x.im) (/ (- (* 9 (pow x.re 4)) (* (* (neg (neg x.im)) (neg x.im)) (* (neg (neg x.im)) (neg x.im)))) (+ (* (* -3 x.re) x.re) (* (neg (neg x.im)) (neg x.im)))) (- (* 9 (pow x.re 4)) (* (* (neg (neg x.im)) (neg x.im)) (* (neg (neg x.im)) (neg x.im)))) (* (pow x.re 4) 9))
3.0ms	x.im	@	0	((+ (* (- (* 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 x.im) (* -3 (* x.re x.re)))) (neg x.im) (+ (* x.im x.im) (* -3 (* x.re x.re))) (* (* (neg 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)) (* (neg 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.im x.re) (* 3 x.re)) (* x.im 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)) (* (* x.re x.re) (* 3 x.im)) (* x.re x.re) (* 3 x.im) (* (neg x.im) (/ (- (* 9 (pow x.re 4)) (* (* (neg (neg x.im)) (neg x.im)) (* (neg (neg x.im)) (neg x.im)))) (+ (* (* -3 x.re) x.re) (* (neg (neg x.im)) (neg x.im))))) (neg (neg x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* (/ x.im (* x.re x.re)) x.im) 3) (* x.re x.re)) (/ x.im (* x.re x.re)) (* (/ x.im (* x.re x.re)) x.im) (/ (- (* 9 (pow x.re 4)) (* (* (neg (neg x.im)) (neg x.im)) (* (neg (neg x.im)) (neg x.im)))) (+ (* (* -3 x.re) x.re) (* (neg (neg x.im)) (neg x.im)))) (- (* 9 (pow x.re 4)) (* (* (neg (neg x.im)) (neg x.im)) (* (neg (neg x.im)) (neg x.im)))) (* (pow x.re 4) 9))

simplify207.0ms (2.9%)

Memory

20.1MiB live, 204.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	301
1	251	292
2	791	290
3	4207	290
0	8272	284

Stop Event

1×	iter limit
1×	node limit

Counts

34 → 33

Calls

Call 1

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

rewrite215.0ms (3%)

Memory

2.8MiB live, 150.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	408
0	78	372
1	275	336
2	1657	307
0	8774	293

Stop Event

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

Counts

24 → 257

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 (neg.f64 x.im) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (.f64 (-.f64 (.f64 (/.f64 x.im (.f64 x.re x.re)) x.im) #s(literal 3 binary64)) (.f64 x.re x.re)))))
(.f64 (neg.f64 x.im) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (.f64 (-.f64 (.f64 (/.f64 x.im (.f64 x.re x.re)) x.im) #s(literal 3 binary64)) (.f64 x.re x.re))))
(neg.f64 x.im)
#s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (.f64 (-.f64 (.f64 (/.f64 x.im (.f64 x.re x.re)) x.im) #s(literal 3 binary64)) (.f64 x.re x.re)))
(.f64 (.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 (.f64 (neg.f64 x.im) x.im) x.im))
(*.f64 (neg.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 (.f64 x.im x.re) (*.f64 #s(literal 3 binary64) x.re)))
(.f64 (.f64 x.im x.re) (*.f64 #s(literal 3 binary64) x.re))
(*.f64 x.im 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 (.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im)))
(.f64 (.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im))
(*.f64 x.re x.re)
(*.f64 #s(literal 3 binary64) x.im)
(.f64 (neg.f64 x.im) (/.f64 #s(approx (- ( 9 (pow x.re 4)) (* (* (neg (neg x.im)) (neg x.im)) (* (neg (neg x.im)) (neg x.im)))) (.f64 (pow.f64 x.re #s(literal 4 binary64)) #s(literal 9 binary64))) (fma.f64 (.f64 #s(literal -3 binary64) x.re) x.re (*.f64 (neg.f64 (neg.f64 x.im)) (neg.f64 x.im)))))
(neg.f64 (neg.f64 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 (neg.f64 x.im) (/.f64 #s(approx (- ( 9 (pow x.re 4)) (* (* (neg (neg x.im)) (neg x.im)) (* (neg (neg x.im)) (neg x.im)))) (.f64 (pow.f64 x.re #s(literal 4 binary64)) #s(literal 9 binary64))) (fma.f64 (.f64 #s(literal -3 binary64) x.re) x.re (*.f64 (neg.f64 (neg.f64 x.im)) (neg.f64 x.im))))))
(.f64 (-.f64 (.f64 (/.f64 x.im (.f64 x.re x.re)) x.im) #s(literal 3 binary64)) (.f64 x.re x.re))
(/.f64 x.im (*.f64 x.re x.re))
(.f64 (/.f64 x.im (.f64 x.re x.re)) x.im)
(/.f64 #s(approx (- (* 9 (pow x.re 4)) (* (* (neg (neg x.im)) (neg x.im)) (* (neg (neg x.im)) (neg x.im)))) (.f64 (pow.f64 x.re #s(literal 4 binary64)) #s(literal 9 binary64))) (fma.f64 (.f64 #s(literal -3 binary64) x.re) x.re (*.f64 (neg.f64 (neg.f64 x.im)) (neg.f64 x.im))))
#s(approx (- (* 9 (pow x.re 4)) (* (* (neg (neg x.im)) (neg x.im)) (* (neg (neg x.im)) (neg x.im)))) (*.f64 (pow.f64 x.re #s(literal 4 binary64)) #s(literal 9 binary64)))
(*.f64 (pow.f64 x.re #s(literal 4 binary64)) #s(literal 9 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 (+ ( x.im x.im) (* -3 (* x.re x.re))) (.f64 (-.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 x.re x.re))) (neg.f64 x.im)))
(.f64 #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (.f64 (-.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 x.re x.re))) (neg.f64 x.im))
(.f64 (neg.f64 x.im) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (.f64 (-.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 x.re x.re))))
(.f64 x.im (neg.f64 #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (.f64 (-.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 x.re x.re)))))
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(.f64 (.f64 x.re x.re) (.f64 #s(literal -3 binary64) (.f64 (*.f64 #s(literal -3 binary64) x.re) x.re)))
(.f64 (.f64 x.re x.re) (.f64 (.f64 x.re x.re) #s(literal 9 binary64)))
(.f64 (.f64 x.re x.re) (pow.f64 (*.f64 #s(literal -3 binary64) x.re) #s(literal 2 binary64)))
(.f64 #s(literal -3 binary64) (.f64 (.f64 x.re x.re) (.f64 (*.f64 #s(literal -3 binary64) x.re) x.re)))
(.f64 x.re (fabs.f64 (.f64 (.f64 #s(literal -3 binary64) x.re) (.f64 (*.f64 #s(literal -3 binary64) x.re) x.re))))
(.f64 x.re (.f64 (.f64 #s(literal -3 binary64) x.re) (.f64 (*.f64 #s(literal -3 binary64) x.re) x.re)))
(pow.f64 (neg.f64 (.f64 (.f64 #s(literal -3 binary64) x.re) x.re)) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 #s(literal 3 binary64) x.re) x.re) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 #s(literal -3 binary64) x.re) x.re) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x.re #s(literal 8 binary64)) #s(literal 81 binary64)))
(fabs.f64 (neg.f64 (*.f64 (pow.f64 x.re #s(literal 4 binary64)) #s(literal 9 binary64))))
(fabs.f64 (*.f64 (pow.f64 x.re #s(literal 4 binary64)) #s(literal 9 binary64)))
(exp.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x.re) (log.f64 #s(literal -3 binary64))) #s(literal 2 binary64)))

eval71.0ms (1%)

Memory: 1.6MiB live, 48.0MiB allocated
Compiler: Compiled 14 739 to 1 408 computations (90.4% saved)

prune57.0ms (0.8%)

Memory

-17.1MiB live, 30.1MiB allocated

Pruning

11 alts after pruning (2 fresh and 9 done)

	Pruned	Kept	Total
New	306	1	307
Fresh	0	1	1
Picked	1	4	5
Done	0	5	5
Total	307	11	318

Accuracy

100.0%

Counts

318 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	57.0%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow.f64 (neg.f64 x.im) #s(literal 3 binary64)))
	12.3%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (/.f64 (-.f64 (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 x.im) #s(literal -3 binary64)) (.f64 x.re x.re)) #s(literal 2 binary64))) (.f64 (fma.f64 (.f64 x.re x.re) #s(literal -3 binary64) (.f64 x.im x.im)) x.im)))
✓	57.9%	#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.im #s(literal 3 binary64)) x.re) x.re))
✓	56.9%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (neg.f64 x.im) x.im) x.im))
✓	51.3%	#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)))
✓	57.9%	#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.im x.re) (*.f64 #s(literal 3 binary64) x.re)))
✓	20.5%	#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.im x.im) x.im))
	21.0%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 x.im) (/.f64 #s(approx (- ( 9 (pow x.re 4)) (* (* (neg (neg x.im)) (neg x.im)) (* (neg (neg x.im)) (neg x.im)))) (.f64 (.f64 (.f64 (.f64 #s(literal -3 binary64) x.re) x.re) (.f64 #s(literal -3 binary64) x.re)) x.re)) (fma.f64 (.f64 #s(literal -3 binary64) x.re) x.re (*.f64 (neg.f64 (neg.f64 x.im)) (neg.f64 x.im))))))
✓	73.2%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 x.im) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (.f64 (-.f64 (.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im) #s(literal 3 binary64)) (*.f64 x.re x.re)))))
✓	68.0%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 x.im) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (.f64 (-.f64 (.f64 (/.f64 x.im (.f64 x.re x.re)) x.im) #s(literal 3 binary64)) (.f64 x.re x.re)))))
✓	57.9%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(literal 3 binary64) (.f64 (*.f64 x.im x.re) x.re)))

Compiler

Compiled 1 102 to 355 computations (67.8% saved)

regimes18.0ms (0.2%)

Memory

20.4MiB live, 20.4MiB allocated

Counts

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

Calls

3 calls:

6.0ms	x.im
6.0ms	x.re
5.0ms	(+.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
99.9%	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))`
97.5%	2	`x.re`
98.4%	2	`x.im`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes9.0ms (0.1%)

Memory

11.1MiB live, 11.1MiB allocated

Counts

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

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

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
99.9%	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))`
96.4%	2	`x.im`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes41.0ms (0.6%)

Memory

-41.2MiB live, 6.3MiB allocated

Counts

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

Calls

1 calls:

40.0ms

(+.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))`

Compiler

Compiled 19 to 11 computations (42.1% saved)

regimes7.0ms (0.1%)

Memory

9.3MiB live, 9.3MiB allocated

Counts

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

Calls

2 calls:

4.0ms	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
97.5%	2	`x.re`
97.5%	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 20 to 13 computations (35% saved)

regimes8.0ms (0.1%)

Memory

11.2MiB live, 11.2MiB 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 (.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 (.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(literal 3 binary64) (.f64 (*.f64 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 (.f64 x.im 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 (.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.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.im #s(literal 3 binary64)) 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.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 (*.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(literal 3 binary64) (*.f64 (*.f64 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 (*.f64 (neg.f64 x.im) x.im) x.im))

Calls

3 calls:

3.0ms	x.re
3.0ms	x.im
2.0ms	(+.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
97.5%	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))`
82.3%	2	`x.im`
87.8%	2	`x.re`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes4.0ms (0.1%)

Memory

6.8MiB live, 6.8MiB allocated

Counts

2 → 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 (*.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 (*.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 (*.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 (*.f64 x.im x.im) x.im))

Calls

3 calls:

1.0ms	x.re
1.0ms	x.im
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
56.9%	1	`x.im`
60.4%	2	`x.re`
60.4%	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)

regimes3.0ms (0%)

Memory

6.6MiB live, 6.6MiB 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 (.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 (.f64 x.im x.im) x.im))

Calls

3 calls:

1.0ms	x.re
1.0ms	x.im
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
20.5%	1	`x.im`
20.5%	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))`
20.5%	1	`x.re`

Compiler

Compiled 21 to 15 computations (28.6% saved)

bsearch52.0ms (0.7%)

Memory

-35.3MiB live, 17.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
50.0ms	1.5380522609468656e-98	2.0171443829821752e-92

Samples

9.0ms

144×

valid

Compiler

Compiled 571 to 349 computations (38.9% saved)

Precisions

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

ival-mult: 5.0ms (77.7% of total)

ival-sub: 1.0ms (15.5% of total)

ival-add: 1.0ms (15.5% of total)

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

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

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-8.207501214239364e-276	0.0

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	4.836976723918936e-282	1.6364041708208044e-263

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch9.0ms (0.1%)

Memory

8.2MiB live, 8.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	2.548771580541009e+151	8.242423874610025e+151

Samples

5.0ms

80×

valid

Compiler

Compiled 312 to 196 computations (37.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult: 3.0ms (85.6% of total)

ival-add: 1.0ms (28.5% 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

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-8.207501214239364e-276	0.0

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch16.0ms (0.2%)

Memory

16.9MiB live, 16.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.9972086340515696e+192	7.857975418196325e+198

Samples

9.0ms

144×

valid

Compiler

Compiled 481 to 295 computations (38.7% saved)

Precisions

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

ival-mult: 4.0ms (64.1% of total)

ival-sub: 1.0ms (16% of total)

ival-add: 1.0ms (16% of total)

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

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

simplify81.0ms (1.1%)

Memory

-12.9MiB live, 81.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	80	592
1	125	564
2	277	564
3	793	508
4	1977	508
5	6037	508

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 x.im #s(literal 1056844162248225/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936 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 x.im 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 (.f64 #s(literal 3 binary64) (/.f64 x.re x.im)) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))))
(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 -6237000967295999/1247400193459199882285232945648024103792157037772160963439092026523257432418102541115598728432897313180839029277620309527482773742745996037961982373928019637700003545594428547823461075902726866989158347965339952495831756534450543993055534542780027598441950566797347526026474059518965006204928 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow.f64 (neg.f64 x.im) #s(literal 3 binary64))) (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)) (+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (.f64 (.f64 x.im x.re) x.re)) (.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) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 x.im) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (.f64 (-.f64 (.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im) #s(literal 3 binary64)) (*.f64 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 3269984763141685/653996952628336987883560210607911261328982429019490727199554680401825592727622145076415026132626866532955732981904996841544888480036812770751011814861973559810459458912611754481266760562888863640011851938052153014134639969934006809031100094365055109531933378765047739725368031717079125173169291264 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 x.im) (fma.f64 x.im x.im (.f64 #s(literal -3 binary64) (.f64 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 +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 #s(literal 3 binary64) (.f64 (.f64 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 (neg.f64 x.im) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (.f64 (-.f64 (.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im) #s(literal 3 binary64)) (*.f64 x.re x.re)))))))
(if (<=.f64 x.re #s(literal 80000000000000001374202590977417529443144832674443640861858627561600250102255083360661013942889385461780367676348342678295449011561384049997076395720704 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 x.im) (fma.f64 x.im x.im (.f64 #s(literal -3 binary64) (.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 #s(literal 3 binary64) (.f64 (*.f64 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 -6237000967295999/1247400193459199882285232945648024103792157037772160963439092026523257432418102541115598728432897313180839029277620309527482773742745996037961982373928019637700003545594428547823461075902726866989158347965339952495831756534450543993055534542780027598441950566797347526026474059518965006204928 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 (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 #s(literal 3 binary64) (.f64 (.f64 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 (.f64 (neg.f64 x.im) x.im) x.im))))
(if (<=.f64 x.re #s(literal 89999999999999995602896321753116188480502444150675950295199255015161605513749632649505491002551062052862879038904244310362534279254972437833721623336488085943933298845360825006995128844061776019456 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 (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 (.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 (.f64 x.im x.im) x.im))

Outputs
(if (<=.f64 x.im #s(literal 1056844162248225/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936 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 x.im 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 (.f64 #s(literal 3 binary64) (/.f64 x.re x.im)) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))))
(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 -6237000967295999/1247400193459199882285232945648024103792157037772160963439092026523257432418102541115598728432897313180839029277620309527482773742745996037961982373928019637700003545594428547823461075902726866989158347965339952495831756534450543993055534542780027598441950566797347526026474059518965006204928 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow.f64 (neg.f64 x.im) #s(literal 3 binary64))) (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)) (+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (.f64 (.f64 x.im x.re) x.re)) (.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) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 x.im) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (.f64 (-.f64 (.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im) #s(literal 3 binary64)) (*.f64 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 3269984763141685/653996952628336987883560210607911261328982429019490727199554680401825592727622145076415026132626866532955732981904996841544888480036812770751011814861973559810459458912611754481266760562888863640011851938052153014134639969934006809031100094365055109531933378765047739725368031717079125173169291264 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 x.im) (fma.f64 x.im x.im (.f64 #s(literal -3 binary64) (.f64 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 +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 #s(literal 3 binary64) (.f64 (.f64 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 (neg.f64 x.im) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (.f64 (-.f64 (.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im) #s(literal 3 binary64)) (*.f64 x.re x.re)))))))
(if (<=.f64 x.re #s(literal 80000000000000001374202590977417529443144832674443640861858627561600250102255083360661013942889385461780367676348342678295449011561384049997076395720704 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 x.im) (fma.f64 x.im x.im (.f64 #s(literal -3 binary64) (.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 #s(literal 3 binary64) (.f64 (*.f64 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 -6237000967295999/1247400193459199882285232945648024103792157037772160963439092026523257432418102541115598728432897313180839029277620309527482773742745996037961982373928019637700003545594428547823461075902726866989158347965339952495831756534450543993055534542780027598441950566797347526026474059518965006204928 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 (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 #s(literal 3 binary64) (.f64 (.f64 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 (.f64 (neg.f64 x.im) x.im) x.im))))
(if (or (<=.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 -6237000967295999/1247400193459199882285232945648024103792157037772160963439092026523257432418102541115598728432897313180839029277620309527482773742745996037961982373928019637700003545594428547823461075902726866989158347965339952495831756534450543993055534542780027598441950566797347526026474059518965006204928 binary64)) (not (<=.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 (.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(literal 3 binary64) (.f64 (*.f64 x.im x.re) x.re))))
(if (<=.f64 x.re #s(literal 89999999999999995602896321753116188480502444150675950295199255015161605513749632649505491002551062052862879038904244310362534279254972437833721623336488085943933298845360825006995128844061776019456 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 (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 (.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 (.f64 x.im x.im) x.im))

soundness1.2s (17.4%)

Memory

2.7MiB live, 622.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	353
1	272	340
2	904	332
3	4865	332
0	8420	322
0	39	251
0	59	251
1	215	218
2	1422	218
0	8169	204
0	57	215
1	202	207
2	773	206
3	4378	206
0	8308	201

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

Compiler

Compiled 859 to 275 computations (68% saved)

preprocess113.0ms (1.6%)

Memory: -5.8MiB live, 234.1MiB allocated
Remove: (abs x.re)
Compiler: Compiled 2 090 to 472 computations (77.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.2s (16.6%)

explain267.0ms (3.7%)

preprocess205.0ms (2.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify587.0ms (8.2%)

localize32.0ms (0.4%)

series16.0ms (0.2%)

simplify194.0ms (2.7%)

rewrite77.0ms (1.1%)

eval32.0ms (0.4%)

prune6.0ms (0.1%)

simplify157.0ms (2.2%)

localize147.0ms (2%)

series29.0ms (0.4%)

simplify180.0ms (2.5%)

rewrite183.0ms (2.5%)

eval112.0ms (1.6%)

prune37.0ms (0.5%)

simplify241.0ms (3.4%)

localize239.0ms (3.3%)

series46.0ms (0.6%)

simplify195.0ms (2.7%)

rewrite209.0ms (2.9%)

eval148.0ms (2.1%)

prune20.0ms (0.3%)

simplify240.0ms (3.4%)

localize152.0ms (2.1%)

series71.0ms (1%)

simplify207.0ms (2.9%)

rewrite215.0ms (3%)

eval71.0ms (1%)

prune57.0ms (0.8%)

regimes18.0ms (0.2%)

regimes9.0ms (0.1%)

regimes41.0ms (0.6%)

regimes7.0ms (0.1%)

regimes8.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0%)

bsearch52.0ms (0.7%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch9.0ms (0.1%)

bsearch1.0ms (0%)

bsearch16.0ms (0.2%)

simplify81.0ms (1.1%)

soundness1.2s (17.4%)

preprocess113.0ms (1.6%)

end0.0ms (0%)

Profiling