Metrics for math.cube on complex, imaginary part

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB 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)

sample1.1s (19%)

Memory

22.0MiB live, 1 310.5MiB allocated

Samples

781.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 548.0ms

ival-mult: 419.0ms (76.4% of total)

ival-add: 83.0ms (15.1% of total)

ival-sub: 38.0ms (6.9% of total)

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

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

Bogosity

explain220.0ms (3.8%)

Memory

-33.6MiB live, 293.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
18	-	-	`(+.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))`
16	-	-	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`
13	-	-	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im 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 (.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	18	0
↳	`(*.f64 x.re x.re)`	overflow	54
↳	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	overflow	104
↳	`(*.f64 x.im x.im)`	overflow	66
↳	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)`	overflow	111
↳	`(*.f64 x.im x.re)`	overflow	32
↳	`(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)`	overflow	55
↳	`(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))`	overflow	32
↳	`(*.f64 x.re x.im)`	overflow	32
`-.f64`	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	nan-rescue	16	0
↳	`(*.f64 x.re x.re)`	overflow	54
↳	`(*.f64 x.im x.im)`	overflow	66
`*.f64`	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)`	*no**	13	0

Confusion

	Predicted +	Predicted -
+	43	0
-	0	213

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	43	0	0
-	0	0	213

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	213
1	39
2	4

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

89.0ms

512×

valid

Compiler

Compiled 153 to 37 computations (75.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 73.0ms

ival-mult: 49.0ms (66.8% of total)

ival-add: 21.0ms (28.6% of total)

ival-sub: 2.0ms (2.7% of total)

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

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

preprocess206.0ms (3.6%)

Memory

20.3MiB live, 211.8MiB 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: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	83.4%	(+.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)

simplify180.0ms (3.1%)

Memory

3.5MiB live, 166.8MiB 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)

localize92.0ms (1.6%)

Memory

-39.0MiB live, 34.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.15625	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
accuracy	3.112132530199392	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
accuracy	3.3945229933208236	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
accuracy	4.589806594943704	(+.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

20.0ms

256×

valid

Compiler

Compiled 67 to 13 computations (80.6% saved)

Precisions

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

ival-mult: 9.0ms (72.4% of total)

ival-add: 2.0ms (16.1% of total)

ival-sub: 1.0ms (8% of total)

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

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

series13.0ms (0.2%)

Memory

19.6MiB live, 19.6MiB 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
3.0ms	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))

simplify220.0ms (3.8%)

Memory

-0.7MiB live, 184.8MiB 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)))

rewrite50.0ms (0.9%)

Memory

18.8MiB live, 56.1MiB 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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eval16.0ms (0.3%)

Memory: -3.5MiB live, 32.7MiB allocated
Compiler: Compiled 3 305 to 481 computations (85.4% saved)

prune14.0ms (0.2%)

Memory

-30.4MiB live, 18.9MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	127	8	135
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	128	8	136

Accuracy

100.0%

Counts

136 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	83.4%	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
▶	68.6%	(+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.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) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
▶	47.9%	(+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
	52.5%	(+.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))
	61.6%	#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)))
▶	78.0%	#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))))
▶	52.5%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re))
▶	93.5%	#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 428 to 246 computations (42.5% saved)

simplify166.0ms (2.9%)

Memory

15.4MiB live, 205.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 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	#s(approx (- (* x.re x.re) (* x.im x.im)) (.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (.f64 x.re x.re)))
cost-diff	0	(.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.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)
cost-diff	2	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
cost-diff	3	(+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.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) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
cost-diff	0	#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re))
cost-diff	0	(.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im)
cost-diff	2	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
cost-diff	3	(+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) 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	45	391
0	71	391
1	145	373
2	431	373
3	1540	351
4	4844	351
0	8296	349

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

localize155.0ms (2.7%)

Memory

9.5MiB live, 187.4MiB allocated

Localize:

Found 20 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	0.08203125	(fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 x.re x.im)) (/.f64 x.re x.im) #s(literal -1 binary64))
accuracy	0.2734375	(*.f64 #s(literal 3 binary64) (/.f64 x.re x.im))
accuracy	13.41640248446565	(.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	0.15625	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
accuracy	3.112132530199392	(.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.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)
accuracy	4.589806594943704	(+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.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) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
accuracy	15.280812495764906	(.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (.f64 x.re x.re))
accuracy	0.15625	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
accuracy	3.112132530199392	(.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im)
accuracy	4.589806594943704	(+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
accuracy	30.969172869275823	#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re))
accuracy	0.0	(*.f64 #s(literal 3 binary64) x.re)
accuracy	0.11328125	(.f64 (.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re)
accuracy	0.19921875	(.f64 (.f64 #s(literal 3 binary64) x.re) x.im)
accuracy	30.289556672669164	#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	0.17578125	(.f64 #s(literal -3 binary64) (.f64 x.re x.re))
accuracy	1.0038952404222408	(fma.f64 x.im x.im (.f64 #s(literal -3 binary64) (.f64 x.re x.re)))
accuracy	3.1169662015677067	(.f64 (neg.f64 x.im) (fma.f64 x.im x.im (.f64 #s(literal -3 binary64) (*.f64 x.re x.re))))

Samples

111.0ms

256×

valid

Compiler

Compiled 310 to 35 computations (88.7% saved)

Precisions

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

ival-mult: 63.0ms (77.3% of total)

ival-div: 7.0ms (8.6% of total)

ival-add: 5.0ms (6.1% of total)

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

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

exact: 1.0ms (1.2% of total)

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

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

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

series34.0ms (0.6%)

Memory

-21.5MiB live, 54.1MiB allocated

Counts

22 → 42

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 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
(.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im)
#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re))
(+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.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) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.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)
#s(approx (- (* x.re x.re) (* x.im x.im)) (.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 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) (/.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)
(.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (.f64 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)))
(* -1 (pow x.im 2))
(- (pow x.re 2) (pow x.im 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)))
(+ (* -1 (pow x.im 2)) (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))
(* 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)))))
(* 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))
(* (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 (* -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
10.0ms	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.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.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (+ (* (- (* x.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) (* (+ (* (/ (neg x.im) x.re) (/ x.im x.re)) 1) (* 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.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.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (+ (* (- (* x.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) (* (+ (* (/ (neg x.im) x.re) (/ x.im x.re)) 1) (* x.re x.re)))
6.0ms	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.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.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.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (+ (* (- (* x.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) (* (+ (* (/ (neg x.im) x.re) (/ x.im x.re)) 1) (* x.re x.re)))
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.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.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.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (+ (* (- (* x.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) (* (+ (* (/ (neg x.im) x.re) (/ x.im x.re)) 1) (* 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.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.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (+ (* (- (* x.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) (* (+ (* (/ (neg x.im) x.re) (/ x.im x.re)) 1) (* x.re x.re)))

simplify151.0ms (2.6%)

Memory

3.7MiB live, 240.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	89	383
1	291	365
2	975	365
3	5554	365
0	8498	358

Stop Event

1×	iter limit
1×	node limit

Counts

42 → 42

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

rewrite231.0ms (4%)

Memory

-9.6MiB live, 276.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	315
0	71	315
1	256	284
2	1835	276
0	8375	265

Stop Event

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

Counts

22 → 368

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

eval84.0ms (1.5%)

Memory: 2.6MiB live, 40.1MiB allocated
Compiler: Compiled 22 922 to 1 641 computations (92.8% saved)

prune37.0ms (0.6%)

Memory

-5.2MiB live, 32.1MiB allocated

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	456	7	463
Fresh	2	1	3
Picked	3	2	5
Done	0	0	0
Total	461	10	471

Accuracy

100.0%

Counts

471 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	61.6%	#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)))
▶	47.9%	#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.re x.re) x.im) #s(literal 3 binary64)))
	52.6%	#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) #s(literal 3 binary64)) x.re))
▶	52.5%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re))
✓	52.5%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re))
▶	90.4%	#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 (.f64 #s(literal -3 binary64) x.re) x.re (*.f64 x.im x.im))))
✓	93.5%	#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)))))
	74.8%	#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)))))
▶	61.5%	#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 x.im x.im))))
	52.5%	#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 548 to 316 computations (42.3% saved)

simplify165.0ms (2.8%)

Memory

4.4MiB live, 87.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	34	254
0	49	251
1	108	241
2	309	241
3	1017	211
4	2524	211
5	5958	211
0	8059	211

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

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

localize92.0ms (1.6%)

Memory

10.6MiB live, 49.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0	(pow.f64 (neg.f64 x.im) #s(literal 3 binary64))
accuracy	0.0	(neg.f64 x.im)
accuracy	24.573593874341725	#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	0.0	(*.f64 x.re x.re)
accuracy	0.171875	(.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
accuracy	7.575466545884311	(.f64 (.f64 x.re x.re) x.im)
accuracy	30.289556672669164	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
accuracy	0.0	(*.f64 x.im #s(literal 3 binary64))
accuracy	0.11328125	(.f64 (.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re)
accuracy	0.171875	(.f64 (.f64 x.im #s(literal 3 binary64)) x.re)
accuracy	30.289556672669164	#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	(neg.f64 x.im)
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) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im))))
accuracy	3.1169662015677067	(.f64 (neg.f64 x.im) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im)))
accuracy	28.607255302290643	#s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im))
accuracy	0.0	(neg.f64 x.im)
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 (.f64 #s(literal -3 binary64) x.re) x.re (*.f64 x.im x.im))))
accuracy	3.0741857212667223	(fma.f64 (.f64 #s(literal -3 binary64) x.re) x.re (.f64 x.im x.im))
accuracy	3.1169662015677067	(.f64 (neg.f64 x.im) (fma.f64 (.f64 #s(literal -3 binary64) x.re) x.re (*.f64 x.im x.im)))

Samples

76.0ms

256×

valid

Compiler

Compiled 200 to 29 computations (85.5% saved)

Precisions

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

ival-mult: 48.0ms (78% of total)

ival-pow: 6.0ms (9.8% of total)

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

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

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

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

exact: 0.0ms (0% of total)

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

series12.0ms (0.2%)

Memory

14.7MiB live, 14.7MiB allocated

Counts

17 → 24

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

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

Calls

6 calls:

Time	Variable		Point	Expression
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)) (* (neg x.im) (+ (* (* -3 x.re) x.re) (* x.im x.im))) (neg x.im) (+ (* (* -3 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)) (* (neg x.im) (+ (* x.im x.im) (* -3 (* x.re x.re)))) (+ (* 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)) (* (* (* x.im 3) x.re) x.re) (* (* x.im 3) x.re) (* x.im 3) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.re) x.im) 3) (* (* x.re x.re) x.im) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow (neg x.im) 3))
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)) (* (neg x.im) (+ (* (* -3 x.re) x.re) (* x.im x.im))) (neg x.im) (+ (* (* -3 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)) (* (neg x.im) (+ (* x.im x.im) (* -3 (* x.re x.re)))) (+ (* 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)) (* (* (* x.im 3) x.re) x.re) (* (* x.im 3) x.re) (* x.im 3) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.re) x.im) 3) (* (* x.re x.re) x.im) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow (neg x.im) 3))
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)) (* (neg x.im) (+ (* (* -3 x.re) x.re) (* x.im x.im))) (neg x.im) (+ (* (* -3 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)) (* (neg x.im) (+ (* x.im x.im) (* -3 (* x.re x.re)))) (+ (* 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)) (* (* (* x.im 3) x.re) x.re) (* (* x.im 3) x.re) (* x.im 3) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.re) x.im) 3) (* (* x.re x.re) x.im) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow (neg x.im) 3))
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)) (* (neg x.im) (+ (* (* -3 x.re) x.re) (* x.im x.im))) (neg x.im) (+ (* (* -3 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)) (* (neg x.im) (+ (* x.im x.im) (* -3 (* x.re x.re)))) (+ (* 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)) (* (* (* x.im 3) x.re) x.re) (* (* x.im 3) x.re) (* x.im 3) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.re) x.im) 3) (* (* x.re x.re) x.im) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow (neg x.im) 3))
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)) (* (neg x.im) (+ (* (* -3 x.re) x.re) (* x.im x.im))) (neg x.im) (+ (* (* -3 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)) (* (neg x.im) (+ (* x.im x.im) (* -3 (* x.re x.re)))) (+ (* 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)) (* (* (* x.im 3) x.re) x.re) (* (* x.im 3) x.re) (* x.im 3) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.re) x.im) 3) (* (* x.re x.re) x.im) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow (neg x.im) 3))

simplify162.0ms (2.8%)

Memory

3.1MiB live, 76.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	232
1	212	224
2	715	222
3	4060	222
0	8356	216

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 24

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

rewrite293.0ms (5%)

Memory

-9.6MiB live, 108.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	229
0	49	226
1	184	206
2	1177	204
0	8876	194

Stop Event

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

Counts

17 → 387

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

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

eval88.0ms (1.5%)

Memory: 21.9MiB live, 59.7MiB allocated
Compiler: Compiled 15 799 to 1 323 computations (91.6% saved)

prune111.0ms (1.9%)

Memory

-29.3MiB live, 21.9MiB allocated

Pruning

11 alts after pruning (4 fresh and 7 done)

	Pruned	Kept	Total
New	398	3	401
Fresh	2	1	3
Picked	0	5	5
Done	0	2	2
Total	400	11	411

Accuracy

100.0%

Counts

411 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	61.6%	#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)))
✓	47.9%	#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.re x.re) x.im) #s(literal 3 binary64)))
▶	52.5%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.im x.re) x.re) #s(literal 3 binary64)))
▶	52.6%	#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) #s(literal 3 binary64)) x.re))
✓	52.5%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re))
✓	52.5%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re))
▶	21.8%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.im x.im) x.im))
✓	90.4%	#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 (.f64 #s(literal -3 binary64) x.re) x.re (*.f64 x.im x.im))))
✓	93.5%	#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)))))
▶	74.8%	#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 (+ ( (* -3 x.re) x.re) (* x.im x.im)) (.f64 (-.f64 (.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im) #s(literal 3 binary64)) (*.f64 x.re x.re)))))
✓	61.5%	#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 x.im x.im))))

Compiler

Compiled 328 to 190 computations (42.1% saved)

simplify149.0ms (2.6%)

Memory

-3.8MiB live, 72.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x.im x.re)
cost-diff	0	(.f64 (.f64 x.im x.re) x.re)
cost-diff	0	(.f64 (.f64 (*.f64 x.im x.re) x.re) #s(literal 3 binary64))
cost-diff	0	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.im x.re) x.re) #s(literal 3 binary64)))
cost-diff	0	(*.f64 x.im x.re)
cost-diff	0	(.f64 (.f64 x.im x.re) #s(literal 3 binary64))
cost-diff	0	(.f64 (.f64 (*.f64 x.im x.re) #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 (*.f64 x.im x.re) #s(literal 3 binary64)) 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 (+ (* (* -3 x.re) x.re) (* x.im x.im)) (.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 (+ ( (* -3 x.re) x.re) (* x.im x.im)) (.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 (+ ( (* -3 x.re) x.re) (* x.im x.im)) (.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	36	264
0	51	264
1	100	252
2	270	252
3	872	228
4	2496	228
5	6201	228
0	8268	225

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

localize92.0ms (1.6%)

Memory

18.5MiB live, 56.9MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x.im x.re)
accuracy	0.15625	(.f64 (.f64 x.im x.re) x.re)
accuracy	0.171875	(.f64 (.f64 (*.f64 x.im x.re) x.re) #s(literal 3 binary64))
accuracy	30.289556672669164	#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)))
accuracy	0.0	(*.f64 x.im x.re)
accuracy	0.11328125	(.f64 (.f64 (*.f64 x.im x.re) #s(literal 3 binary64)) x.re)
accuracy	0.24609375	(.f64 (.f64 x.im x.re) #s(literal 3 binary64))
accuracy	30.289556672669164	#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) #s(literal 3 binary64)) x.re))
accuracy	0.0	(*.f64 x.im x.im)
accuracy	0.109375	(.f64 (.f64 x.im x.im) x.im)
accuracy	50.06529672766039	#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	0.15234375	(/.f64 (/.f64 x.im x.re) x.re)
accuracy	2.92225371573601	(*.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im)
accuracy	3.1169662015677067	(.f64 (neg.f64 x.im) #s(approx (+ ( (* -3 x.re) x.re) (* x.im x.im)) (.f64 (-.f64 (.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im) #s(literal 3 binary64)) (*.f64 x.re x.re))))
accuracy	14.152521240544367	(.f64 (-.f64 (.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im) #s(literal 3 binary64)) (*.f64 x.re x.re))

Samples

76.0ms

256×

valid

Compiler

Compiled 189 to 30 computations (84.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-mult: 23.0ms (68.2% of total)

ival-div: 3.0ms (8.9% of total)

ival-add: 3.0ms (8.9% of total)

ival-sub: 2.0ms (5.9% of total)

ival-neg: 1.0ms (3% of total)

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

exact: 0.0ms (0% of total)

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

series79.0ms (1.4%)

Memory

-11.7MiB live, 33.9MiB allocated

Counts

17 → 26

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 (+ ( (* -3 x.re) x.re) (* x.im 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 (neg.f64 x.im) #s(approx (+ ( (* -3 x.re) x.re) (* x.im x.im)) (.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 (+ (* (* -3 x.re) x.re) (* x.im 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 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 (.f64 (*.f64 x.im x.re) #s(literal 3 binary64)) x.re))
(.f64 (.f64 (*.f64 x.im x.re) #s(literal 3 binary64)) x.re)
(.f64 (.f64 x.im x.re) #s(literal 3 binary64))
(*.f64 x.im x.re)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.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 x.im x.re) x.re) #s(literal 3 binary64))
(.f64 (.f64 x.im 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 x.im x.re) x.re) x.im)
(/.f64 (/.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))
(* x.im x.re)
(* x.im (pow x.re 2))
(/ (pow x.im 2) (pow x.re 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)))
(* -3 (pow x.re 2))
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3))
(* 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)
(* (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)))))
(* -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
66.0ms	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) (+ (* (* -3 x.re) x.re) (* x.im x.im))) (neg x.im) (+ (* (* -3 x.re) x.re) (* x.im x.im)) (* (* 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)) (* (* (* x.im x.re) 3) x.re) (* (* x.im x.re) 3) (* 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 x.re) x.re) 3) (* (* 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))
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) (+ (* (* -3 x.re) x.re) (* x.im x.im))) (neg x.im) (+ (* (* -3 x.re) x.re) (* x.im x.im)) (* (* 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)) (* (* (* x.im x.re) 3) x.re) (* (* x.im x.re) 3) (* 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 x.re) x.re) 3) (* (* 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))
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)) (* (neg x.im) (+ (* (* -3 x.re) x.re) (* x.im x.im))) (neg x.im) (+ (* (* -3 x.re) x.re) (* x.im x.im)) (* (* 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)) (* (* (* x.im x.re) 3) x.re) (* (* x.im x.re) 3) (* 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 x.re) x.re) 3) (* (* 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))
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)) (* (neg x.im) (+ (* (* -3 x.re) x.re) (* x.im x.im))) (neg x.im) (+ (* (* -3 x.re) x.re) (* x.im x.im)) (* (* 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)) (* (* (* x.im x.re) 3) x.re) (* (* x.im x.re) 3) (* 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 x.re) x.re) 3) (* (* 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))
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)) (* (neg x.im) (+ (* (* -3 x.re) x.re) (* x.im x.im))) (neg x.im) (+ (* (* -3 x.re) x.re) (* x.im x.im)) (* (* 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)) (* (* (* x.im x.re) 3) x.re) (* (* x.im x.re) 3) (* 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 x.re) x.re) 3) (* (* 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))

simplify165.0ms (2.8%)

Memory

14.4MiB live, 168.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	244
1	213	236
2	716	234
3	4034	234
0	8326	228

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 26

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

rewrite155.0ms (2.7%)

Memory

18.0MiB live, 206.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	236
0	51	232
1	172	216
2	1117	206
0	8670	199

Stop Event

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

Counts

17 → 147

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

eval21.0ms (0.4%)

Memory: -24.5MiB live, 51.8MiB allocated
Compiler: Compiled 6 114 to 709 computations (88.4% saved)

prune20.0ms (0.3%)

Memory

-0.5MiB live, 47.8MiB allocated

Pruning

11 alts after pruning (1 fresh and 10 done)

	Pruned	Kept	Total
New	164	1	165
Fresh	0	0	0
Picked	1	3	4
Done	0	7	7
Total	165	11	176

Accuracy

100.0%

Counts

176 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	61.6%	#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)))
✓	47.9%	#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.re x.re) x.im) #s(literal 3 binary64)))
✓	52.5%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.im x.re) x.re) #s(literal 3 binary64)))
✓	52.6%	#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) #s(literal 3 binary64)) x.re))
✓	52.5%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re))
✓	52.5%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re))
✓	21.8%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.im x.im) x.im))
✓	90.4%	#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 (.f64 #s(literal -3 binary64) x.re) x.re (*.f64 x.im x.im))))
✓	93.5%	#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)))))
	67.4%	#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 (+ ( (* -3 x.re) x.re) (* x.im x.im)) (.f64 (-.f64 (.f64 (/.f64 x.im (.f64 x.re x.re)) x.im) #s(literal 3 binary64)) (.f64 x.re x.re)))))
✓	61.5%	#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 x.im x.im))))

Compiler

Compiled 926 to 293 computations (68.4% saved)

regimes19.0ms (0.3%)

Memory

5.1MiB live, 43.4MiB allocated

Counts

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

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

Calls

3 calls:

7.0ms	x.im
6.0ms	x.re
5.0ms	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))

Results

Accuracy	Segments	Branch
98.6%	2	`x.re`
99.5%	3	`x.im`
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 21 to 15 computations (28.6% saved)

regimes7.0ms (0.1%)

Memory

16.3MiB live, 16.3MiB allocated

Counts

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.2%	3	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`
98.2%	2	`x.re`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes10.0ms (0.2%)

Memory

-11.0MiB live, 27.6MiB 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 (neg.f64 x.im) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (*.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)))
#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.im x.re) #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)))
#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 (neg.f64 x.im) #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.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 (*.f64 x.im x.re) #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) #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im))))

Calls

3 calls:

4.0ms	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
94.3%	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))`
81.1%	2	`x.im`
83.8%	2	`x.re`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes2.0ms (0%)

Memory

6.7MiB live, 6.7MiB allocated

Counts

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

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

Calls

1 calls:

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
94.3%	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)

regimes6.0ms (0.1%)

Memory

-21.8MiB live, 16.7MiB 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 (neg.f64 x.im) #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im))))

Outputs

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

Calls

3 calls:

3.0ms	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
61.5%	1	`x.im`
66.8%	2	`x.re`
61.5%	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))`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes4.0ms (0.1%)

Memory

13.6MiB live, 13.6MiB 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.im
1.0ms	x.re
1.0ms	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))

Results

Accuracy	Segments	Branch
21.8%	1	`x.im`
21.8%	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))`
21.8%	1	`x.re`

Compiler

Compiled 21 to 15 computations (28.6% saved)

bsearch41.0ms (0.7%)

Memory

-11.1MiB live, 39.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
40.0ms	1.0483625810632622e+158	1.106394724404397e+159

Samples

36.0ms

96×

valid

Compiler

Compiled 370 to 232 computations (37.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-mult: 22.0ms (92.8% of total)

ival-add: 1.0ms (4.2% of total)

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

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

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

bsearch11.0ms (0.2%)

Memory

-18.2MiB live, 21.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	6.3577183505202814e+150	1.7911944701246945e+151

Samples

6.0ms

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 (76.1% of total)

ival-add: 1.0ms (25.4% of total)

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

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

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

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-1.1199615255590493e-279	0.0

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-1.1199615255590493e-279	0.0

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch8.0ms (0.1%)

Memory

19.0MiB live, 19.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	6.3577183505202814e+150	1.7911944701246945e+151

Samples

4.0ms

64×

valid

Compiler

Compiled 327 to 191 computations (41.6% saved)

Precisions

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

ival-mult: 2.0ms (64.4% of total)

ival-add: 1.0ms (32.2% of total)

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

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

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

simplify55.0ms (0.9%)

Memory

6.4MiB live, 85.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	61	430
1	109	408
2	262	408
3	778	364
4	1956	364
5	6018	364

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 x.re #s(literal 104999999999999994441985712600179325705600282976973193246516582398023071948986982745615066215351863635459389809981403424880513992496461277843986402253031342080 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 (.f64 #s(literal -3 binary64) x.re) x.re (.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 (*.f64 x.im x.re) #s(literal 3 binary64)) x.re)))
(if (<=.f64 x.re #s(literal 17500000000000001390864903219720420389673643979541347968993615810077145132103598256103528970103938059051031499846548302020911880678319661238762904485888 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 (.f64 (*.f64 x.im x.re) #s(literal 3 binary64)) 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 -5109351192408883/5109351192408882717840314145374306729132675226714771306246520940639262443184548008409492391661147394788716663921132787824569441250287599771492279803609168436019214522754779331884896566897569247187592593266032445422926874765109428195555469487226993043218229521601935466604437747789680665415385088 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) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (.f64 x.im x.im)))) (if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (.f64 x.im x.re) #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) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im))))))
(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal -5109351192408883/5109351192408882717840314145374306729132675226714771306246520940639262443184548008409492391661147394788716663921132787824569441250287599771492279803609168436019214522754779331884896566897569247187592593266032445422926874765109428195555469487226993043218229521601935466604437747789680665415385088 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) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (.f64 x.im x.im)))) (if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +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 x.im x.im))))))
(if (<=.f64 x.re #s(literal 9500000000000000090502685249007642566441068091289728916981575954208223671493771231014566594378322190967313590190009136971332409496296562583692659130368 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) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (.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.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.re #s(literal 104999999999999994441985712600179325705600282976973193246516582398023071948986982745615066215351863635459389809981403424880513992496461277843986402253031342080 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 (.f64 #s(literal -3 binary64) x.re) x.re (.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 (*.f64 x.im x.re) #s(literal 3 binary64)) x.re)))
(if (<=.f64 x.re #s(literal 17500000000000001390864903219720420389673643979541347968993615810077145132103598256103528970103938059051031499846548302020911880678319661238762904485888 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 (.f64 (*.f64 x.im x.re) #s(literal 3 binary64)) 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 -5109351192408883/5109351192408882717840314145374306729132675226714771306246520940639262443184548008409492391661147394788716663921132787824569441250287599771492279803609168436019214522754779331884896566897569247187592593266032445422926874765109428195555469487226993043218229521601935466604437747789680665415385088 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) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (.f64 x.im x.im)))) (if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (.f64 x.im x.re) #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) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (*.f64 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 -5109351192408883/5109351192408882717840314145374306729132675226714771306246520940639262443184548008409492391661147394788716663921132787824569441250287599771492279803609168436019214522754779331884896566897569247187592593266032445422926874765109428195555469487226993043218229521601935466604437747789680665415385088 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 (neg.f64 x.im) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (.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 (*.f64 x.im x.re) #s(literal 3 binary64)) 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 -5109351192408883/5109351192408882717840314145374306729132675226714771306246520940639262443184548008409492391661147394788716663921132787824569441250287599771492279803609168436019214522754779331884896566897569247187592593266032445422926874765109428195555469487226993043218229521601935466604437747789680665415385088 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) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (.f64 x.im x.im)))) (if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +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 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 -5109351192408883/5109351192408882717840314145374306729132675226714771306246520940639262443184548008409492391661147394788716663921132787824569441250287599771492279803609168436019214522754779331884896566897569247187592593266032445422926874765109428195555469487226993043218229521601935466604437747789680665415385088 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 (neg.f64 x.im) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (.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))))
(if (<=.f64 x.re #s(literal 9500000000000000090502685249007642566441068091289728916981575954208223671493771231014566594378322190967313590190009136971332409496296562583692659130368 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) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (.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.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))

soundness966.0ms (16.6%)

Memory

10.7MiB live, 571.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	229
0	49	226
1	184	206
2	1177	204
0	8876	194
0	89	383
1	291	365
2	975	365
3	5554	365
0	8498	358
0	45	315
0	71	315
1	256	284
2	1835	276
0	8375	265
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
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 653 to 224 computations (65.7% saved)

preprocess100.0ms (1.7%)

Memory: -28.8MiB live, 89.7MiB allocated
Remove: (negabs x.im)
Compiler: Compiled 1 304 to 324 computations (75.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.1s (19%)

explain220.0ms (3.8%)

preprocess206.0ms (3.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify180.0ms (3.1%)

localize92.0ms (1.6%)

series13.0ms (0.2%)

simplify220.0ms (3.8%)

rewrite50.0ms (0.9%)

eval16.0ms (0.3%)

prune14.0ms (0.2%)

simplify166.0ms (2.9%)

localize155.0ms (2.7%)

series34.0ms (0.6%)

simplify151.0ms (2.6%)

rewrite231.0ms (4%)

eval84.0ms (1.5%)

prune37.0ms (0.6%)

simplify165.0ms (2.8%)

localize92.0ms (1.6%)

series12.0ms (0.2%)

simplify162.0ms (2.8%)

rewrite293.0ms (5%)

eval88.0ms (1.5%)

prune111.0ms (1.9%)

simplify149.0ms (2.6%)

localize92.0ms (1.6%)

series79.0ms (1.4%)

simplify165.0ms (2.8%)

rewrite155.0ms (2.7%)

eval21.0ms (0.4%)

prune20.0ms (0.3%)

regimes19.0ms (0.3%)

regimes7.0ms (0.1%)

regimes10.0ms (0.2%)

regimes2.0ms (0%)

regimes6.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch41.0ms (0.7%)

bsearch11.0ms (0.2%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch8.0ms (0.1%)

simplify55.0ms (0.9%)

soundness966.0ms (16.6%)

preprocess100.0ms (1.7%)

end0.0ms (0%)

Profiling