Metrics for math.cube on complex, imaginary part

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

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 (15.4%)

Memory

37.2MiB live, 1 497.6MiB allocated; 261ms collecting garbage

Samples

725.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 529.0ms

ival-mult: 401.0ms (75.8% of total)

ival-add: 72.0ms (13.6% of total)

ival-sub: 45.0ms (8.5% of total)

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

ival-assert: 4.0ms (0.8% of total)

adjust: 2.0ms (0.4% of total)

Bogosity

explain234.0ms (3.4%)

Memory

-44.5MiB live, 210.1MiB allocated; 34ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
21	-	-	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`
20	-	-	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)`
10	-	-	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`
0	-	-	`(*.f64 x.re x.im)`
0	-	-	`(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))`
0	-	-	`(*.f64 x.im x.im)`
0	-	-	`(*.f64 x.re x.re)`
0	-	-	`(*.f64 x.im x.re)`
0	-	-	`(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)`
0	-	-	`x.re`
0	-	-	`x.im`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (.f64 (-.f64 (.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	21	0
↳	`(*.f64 x.re x.re)`	overflow	65
↳	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	overflow	119
↳	`(*.f64 x.im x.im)`	overflow	64
↳	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)`	overflow	121
↳	`(*.f64 x.im x.re)`	overflow	33
↳	`(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)`	overflow	61
↳	`(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))`	overflow	33
↳	`(*.f64 x.re x.im)`	overflow	33
`*.f64`	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)`	*no**	20	0
`-.f64`	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	nan-rescue	10	0
↳	`(*.f64 x.re x.re)`	overflow	65
↳	`(*.f64 x.im x.im)`	overflow	64

Confusion

	Predicted +	Predicted -
+	42	0
-	0	214

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	42	0	0
-	0	0	214

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	214
1	33
2	9

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

132.0ms

512×

valid

Compiler

Compiled 153 to 37 computations (75.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 92.0ms

ival-add: 52.0ms (56.7% of total)

ival-mult: 37.0ms (40.4% of total)

ival-sub: 2.0ms (2.2% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess185.0ms (2.7%)

Memory

46.4MiB live, 175.7MiB allocated; 21ms collecting garbage

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; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	84.0%	(+.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)

simplify251.0ms (3.7%)

Memory

-32.7MiB live, 157.2MiB allocated; 26ms collecting garbage

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)

localize53.0ms (0.8%)

Memory

-8.0MiB live, 55.1MiB allocated; 4ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.16796875	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
accuracy	2.4492001724718526	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
accuracy	4.721733190705577	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
accuracy	5.328081652434322	(+.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

46.0ms

256×

valid

Compiler

Compiled 67 to 13 computations (80.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-sub: 18.0ms (61.6% of total)

ival-mult: 9.0ms (30.8% of total)

ival-add: 2.0ms (6.8% of total)

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

adjust: 0.0ms (0% of total)

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

series12.0ms (0.2%)

Memory

16.2MiB live, 16.2MiB allocated; 0ms collecting garbage

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))

simplify193.0ms (2.8%)

Memory

22.9MiB live, 156.9MiB allocated; 14ms collecting garbage

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)))

rewrite91.0ms (1.3%)

Memory

-29.1MiB live, 71.9MiB allocated; 8ms collecting garbage

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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eval13.0ms (0.2%)

Memory: 23.8MiB live, 23.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 3 305 to 481 computations (85.4% saved)

prune25.0ms (0.4%)

Memory

-32.3MiB live, 14.4MiB allocated; 1ms collecting garbage

Pruning

7 alts after pruning (7 fresh and 0 done)

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

Accuracy

100.0%

Counts

136 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	91.6%	(+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
▶	68.7%	(+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -1 binary64)) (.f64 x.im x.im))) x.im) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
	64.4%	(+.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))
▶	51.1%	(+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (.f64 (.f64 x.im x.re) x.re)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
	61.5%	#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)))
▶	51.1%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re))
▶	88.7%	#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 382 to 220 computations (42.4% saved)

simplify179.0ms (2.6%)

Memory

2.7MiB live, 119.8MiB allocated; 69ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	370
0	69	378
1	136	354
2	381	354
3	1384	328
4	5134	328
0	8132	326

Stop Event

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

Calls

Call 1

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

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

localize141.0ms (2.1%)

Memory

-22.0MiB live, 113.8MiB allocated; 16ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	2.1800673505198884	(fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -1 binary64))
accuracy	4.721733190705577	(.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -1 binary64)) (.f64 x.im x.im))) x.im)
accuracy	5.328081652434322	(+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -1 binary64)) (.f64 x.im x.im))) x.im) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
accuracy	10.392727064046609	(.f64 (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -1 binary64)) (.f64 x.im x.im))
accuracy	0.16796875	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
accuracy	0.16796875	(.f64 (.f64 x.im x.re) x.re)
accuracy	5.328081652434322	(+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (.f64 (.f64 x.im x.re) x.re)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
accuracy	31.173121781661997	#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (.f64 (.f64 x.im x.re) x.re))
accuracy	0.0	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 x.im) (fma.f64 x.im x.im (.f64 #s(literal -3 binary64) (*.f64 x.re x.re)))))
accuracy	0.140625	(.f64 #s(literal -3 binary64) (.f64 x.re x.re))
accuracy	2.249975228450042	(fma.f64 x.im x.im (.f64 #s(literal -3 binary64) (.f64 x.re x.re)))
accuracy	4.979050212094982	(.f64 (neg.f64 x.im) (fma.f64 x.im x.im (.f64 #s(literal -3 binary64) (*.f64 x.re x.re))))
accuracy	0.0	(*.f64 #s(literal 3 binary64) x.re)
accuracy	0.1328125	(.f64 (.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re)
accuracy	0.20703125	(.f64 (.f64 #s(literal 3 binary64) x.re) x.im)
accuracy	31.17338789843021	#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	0.00390625	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
accuracy	0.1328125	(.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im))
accuracy	0.16796875	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
accuracy	5.328081652434322	(+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))

Samples

96.0ms

256×

valid

Compiler

Compiled 305 to 34 computations (88.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 77.0ms

ival-mult: 63.0ms (81.4% of total)

ival-add: 7.0ms (9% of total)

ival-div: 3.0ms (3.9% of total)

ival-sub: 2.0ms (2.6% of total)

ival-neg: 1.0ms (1.3% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series23.0ms (0.3%)

Memory

32.2MiB live, 32.2MiB allocated; 0ms collecting garbage

Counts

22 → 67

Calls

Call 1

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

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

simplify337.0ms (4.9%)

Memory

9.7MiB live, 199.4MiB allocated; 21ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	182	834
1	675	663
2	2795	599
0	8719	585

Stop Event

1×	iter limit
1×	node limit

Counts

67 → 65

Calls

Call 1

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

rewrite292.0ms (4.3%)

Memory

-43.5MiB live, 249.2MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	285
0	69	285
1	255	257
2	1727	252
0	8319	241

Stop Event

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

Counts

22 → 620

Calls

Call 1

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

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

eval86.0ms (1.2%)

Memory: 46.1MiB live, 136.9MiB allocated; 6ms collecting garbage
Compiler: Compiled 38 647 to 2 712 computations (93% saved)

prune54.0ms (0.8%)

Memory

-45.9MiB live, 53.6MiB allocated; 18ms collecting garbage

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	806	10	816
Fresh	1	1	2
Picked	3	2	5
Done	0	0	0
Total	810	13	823

Accuracy

100.0%

Counts

823 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	91.5%	(+.f64 (.f64 (fma.f64 (sqrt.f64 x.im) (sqrt.f64 x.im) x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
▶	91.6%	(+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re))
▶	89.4%	(+.f64 (.f64 #s(approx (+ x.im x.re) (fma.f64 (/.f64 x.im x.re) x.re x.re)) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
	15.8%	(+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (.f64 (.f64 x.im x.re) x.re)) (/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64))) x.re) (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)))))
	61.5%	#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)))
▶	43.6%	#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.re x.re) #s(literal 3 binary64)) x.im))
	51.2%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) x.re))
▶	51.1%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re))
✓	51.1%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re))
	51.1%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.re x.im) (*.f64 #s(literal 3 binary64) x.re)))
✓	88.7%	#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)))))
	72.3%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 x.im) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (.f64 (-.f64 (.f64 (/.f64 x.im x.re) (/.f64 x.im x.re)) #s(literal 3 binary64)) (*.f64 x.re x.re)))))
▶	61.4%	#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 (+ ( x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im))))

Compiler

Compiled 682 to 390 computations (42.8% saved)

simplify152.0ms (2.2%)

Memory

-7.2MiB live, 139.0MiB allocated; 14ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	308
0	71	293
1	145	293
2	356	290
3	1070	258
4	2823	258
5	6621	258
0	8208	254

Stop Event

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

Calls

Call 1

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

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

localize143.0ms (2.1%)

Memory

25.2MiB live, 117.7MiB allocated; 5ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.1328125	(.f64 #s(approx (+ x.im x.re) (fma.f64 (/.f64 x.im x.re) x.re x.re)) (.f64 (-.f64 x.re x.im) x.im))
accuracy	0.16796875	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
accuracy	5.328081652434322	(+.f64 (.f64 #s(approx (+ x.im x.re) (fma.f64 (/.f64 x.im x.re) x.re x.re)) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
accuracy	9.183051968161724	(fma.f64 (/.f64 x.im x.re) x.re x.re)
accuracy	0.0	(*.f64 x.re x.re)
accuracy	0.140625	(.f64 (.f64 x.re x.re) #s(literal 3 binary64))
accuracy	10.001530945235363	(.f64 (.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) x.im)
accuracy	31.17338789843021	#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) #s(literal 3 binary64)) x.im))
accuracy	0.0	(*.f64 x.im #s(literal 3 binary64))
accuracy	0.1328125	(.f64 (.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re)
accuracy	0.23046875	(.f64 (.f64 x.im #s(literal 3 binary64)) x.re)
accuracy	31.17338789843021	#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	4.979050212094982	(.f64 (neg.f64 x.im) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im)))
accuracy	26.22341403705701	#s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im))
accuracy	0.0	(*.f64 x.re (+.f64 x.im x.im))
accuracy	0.1328125	(.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im))
accuracy	0.16796875	(.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)
accuracy	5.328081652434322	(+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re))

Samples

103.0ms

256×

valid

Compiler

Compiled 249 to 36 computations (85.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 69.0ms

ival-mult: 54.0ms (78.8% of total)

ival-add: 8.0ms (11.7% of total)

ival-div: 2.0ms (2.9% of total)

ival-sub: 2.0ms (2.9% of total)

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

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series22.0ms (0.3%)

Memory

-12.5MiB live, 32.3MiB allocated; 4ms collecting garbage

Counts

23 → 60

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	x.im	@	-inf	((+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (* x.re (+ x.im x.im)) x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (+ x.im x.re) (* (- x.re x.im) x.im) (+ (* (- (* x.re 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)) (* (* (* 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) 3) x.im) (* (* x.re x.re) 3) (* x.re x.re) (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* (/ x.im x.re) x.re) x.re) (+ (* x.re x.im) (* x.im x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (* x.re (+ x.im x.im)) x.re) (* x.re (+ x.im x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
3.0ms	x.re	@	-inf	((+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (* x.re (+ x.im x.im)) x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (+ x.im x.re) (* (- x.re x.im) x.im) (+ (* (- (* x.re 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)) (* (* (* 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) 3) x.im) (* (* x.re x.re) 3) (* x.re x.re) (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* (/ x.im x.re) x.re) x.re) (+ (* x.re x.im) (* x.im x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (* x.re (+ x.im x.im)) x.re) (* x.re (+ x.im x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
3.0ms	x.im	@	inf	((+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (* x.re (+ x.im x.im)) x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (+ x.im x.re) (* (- x.re x.im) x.im) (+ (* (- (* x.re 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)) (* (* (* 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) 3) x.im) (* (* x.re x.re) 3) (* x.re x.re) (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* (/ x.im x.re) x.re) x.re) (+ (* x.re x.im) (* x.im x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (* x.re (+ 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.im x.re) (* (- x.re x.im) x.im)) (* (* x.re (+ x.im x.im)) x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (+ x.im x.re) (* (- x.re x.im) x.im) (+ (* (- (* x.re 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)) (* (* (* 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) 3) x.im) (* (* x.re x.re) 3) (* x.re x.re) (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* (/ x.im x.re) x.re) x.re) (+ (* x.re x.im) (* x.im x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (* x.re (+ 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.im x.re) (* (- x.re x.im) x.im)) (* (* x.re (+ x.im x.im)) x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (+ x.im x.re) (* (- x.re x.im) x.im) (+ (* (- (* x.re 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)) (* (* (* 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) 3) x.im) (* (* x.re x.re) 3) (* x.re x.re) (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* (/ x.im x.re) x.re) x.re) (+ (* x.re x.im) (* x.im x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (* x.re (+ x.im x.im)) x.re) (* x.re (+ x.im x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))

simplify198.0ms (2.9%)

Memory

46.7MiB live, 180.3MiB allocated; 24ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	173	744
1	654	584
2	2672	508
0	8650	496

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 58

Calls

Call 1

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

rewrite420.0ms (6.1%)

Memory

-20.4MiB live, 407.2MiB allocated; 126ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	261
0	71	245
1	261	217
2	1678	217
0	8621	209

Stop Event

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

Counts

23 → 1 250

Calls

Call 1

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

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

eval101.0ms (1.5%)

Memory: 17.7MiB live, 251.2MiB allocated; 30ms collecting garbage
Compiler: Compiled 37 198 to 2 856 computations (92.3% saved)

prune41.0ms (0.6%)

Memory

-12.9MiB live, 81.2MiB allocated; 4ms collecting garbage

Pruning

14 alts after pruning (9 fresh and 5 done)

	Pruned	Kept	Total
New	874	4	878
Fresh	1	5	6
Picked	2	3	5
Done	0	2	2
Total	877	14	891

Accuracy

100.0%

Counts

891 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	60.8%	(fma.f64 (-.f64 x.re x.im) (.f64 x.im (+.f64 x.re x.im)) (.f64 #s(literal 2 binary64) x.im))
	58.6%	(fma.f64 (-.f64 x.re x.im) (.f64 x.im #s(approx (+ x.im x.re) (fma.f64 (/.f64 x.im x.re) x.re x.re))) (.f64 #s(literal 2 binary64) x.im))
▶	91.5%	(+.f64 (.f64 (fma.f64 (sqrt.f64 x.im) (sqrt.f64 x.im) x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re))
	88.7%	(+.f64 (.f64 (+.f64 x.im x.re) #s(approx ( (- x.re x.im) x.im) (.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
	15.8%	(+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (.f64 (.f64 x.im x.re) x.re)) (/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64))) x.re) (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)))))
▶	61.5%	#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)))
✓	43.6%	#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.re x.re) #s(literal 3 binary64)) x.im))
	51.2%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) x.re))
✓	51.1%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re))
✓	51.1%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re))
▶	51.1%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.re x.im) (*.f64 #s(literal 3 binary64) x.re)))
✓	88.7%	#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)))))
▶	72.3%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 x.im) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (.f64 (-.f64 (.f64 (/.f64 x.im x.re) (/.f64 x.im x.re)) #s(literal 3 binary64)) (*.f64 x.re x.re)))))
✓	61.4%	#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 (+ ( x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im))))

Compiler

Compiled 618 to 357 computations (42.2% saved)

simplify170.0ms (2.5%)

Memory

34.4MiB live, 216.1MiB allocated; 33ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	304
0	70	289
1	165	288
2	498	288
3	2242	264
4	6602	264
0	8601	260

Stop Event

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

Calls

Call 1

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

localize175.0ms (2.6%)

Memory

-42.6MiB live, 302.7MiB allocated; 53ms collecting garbage

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	24.643210791492475	#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	#s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (.f64 (-.f64 (.f64 (/.f64 x.im x.re) (/.f64 x.im x.re)) #s(literal 3 binary64)) (*.f64 x.re x.re)))
accuracy	0.22265625	(*.f64 (/.f64 x.im x.re) (/.f64 x.im x.re))
accuracy	4.979050212094982	(.f64 (neg.f64 x.im) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (.f64 (-.f64 (.f64 (/.f64 x.im x.re) (/.f64 x.im x.re)) #s(literal 3 binary64)) (*.f64 x.re x.re))))
accuracy	13.836737613119864	(.f64 (-.f64 (.f64 (/.f64 x.im x.re) (/.f64 x.im x.re)) #s(literal 3 binary64)) (*.f64 x.re x.re))
accuracy	0.0	(+.f64 x.re x.im)
accuracy	0.0	(*.f64 #s(literal 2 binary64) x.im)
accuracy	0.015625	(*.f64 x.im (+.f64 x.re x.im))
accuracy	0.09375	(fma.f64 (-.f64 x.re x.im) (.f64 x.im (+.f64 x.re x.im)) (.f64 #s(literal 2 binary64) x.im))
accuracy	0.0	(*.f64 x.re x.im)
accuracy	0.0	(*.f64 #s(literal 3 binary64) x.re)
accuracy	0.1875	(.f64 (.f64 x.re x.im) (*.f64 #s(literal 3 binary64) x.re))
accuracy	31.17338789843021	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.re x.im) (*.f64 #s(literal 3 binary64) x.re)))
accuracy	0.1328125	(.f64 (fma.f64 (sqrt.f64 x.im) (sqrt.f64 x.im) x.re) (.f64 (-.f64 x.re x.im) x.im))
accuracy	0.16796875	(.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)
accuracy	0.2578125	(fma.f64 (sqrt.f64 x.im) (sqrt.f64 x.im) x.re)
accuracy	5.328081652434322	(+.f64 (.f64 (fma.f64 (sqrt.f64 x.im) (sqrt.f64 x.im) x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re))

Samples

150.0ms

256×

valid

Compiler

Compiled 242 to 42 computations (82.6% saved)

Precisions

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

ival-mult: 49.0ms (57.3% of total)

ival-add: 19.0ms (22.2% of total)

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

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

ival-div: 2.0ms (2.3% of total)

ival-sqrt: 2.0ms (2.3% of total)

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

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series22.0ms (0.3%)

Memory

-0.3MiB live, 46.3MiB allocated; 3ms collecting garbage

Counts

22 → 79

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	x.im	@	-inf	((+ (* (+ (* (sqrt x.im) (sqrt x.im)) x.re) (* (- x.re x.im) x.im)) (* (* x.re (+ x.im x.im)) x.re)) (+ (* (sqrt x.im) (sqrt x.im)) x.re) (* (+ (* (sqrt x.im) (sqrt x.im)) x.re) (* (- x.re x.im) x.im)) (sqrt 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.im) (* 3 x.re)) (* x.re x.im) (* 3 x.re) (+ (* (- x.re x.im) (* x.im (+ x.re x.im))) (* 2 x.im)) (- x.re x.im) (* x.im (+ x.re x.im)) (+ x.re 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)))) (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)) (pow (neg x.im) 3) (* (* x.re (+ x.im x.im)) x.re) (* 2 x.im) (* (- (* (/ x.im x.re) (/ x.im x.re)) 3) (* x.re x.re)) (* (/ x.im x.re) (/ x.im x.re)))
4.0ms	x.im	@	inf	((+ (* (+ (* (sqrt x.im) (sqrt x.im)) x.re) (* (- x.re x.im) x.im)) (* (* x.re (+ x.im x.im)) x.re)) (+ (* (sqrt x.im) (sqrt x.im)) x.re) (* (+ (* (sqrt x.im) (sqrt x.im)) x.re) (* (- x.re x.im) x.im)) (sqrt 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.im) (* 3 x.re)) (* x.re x.im) (* 3 x.re) (+ (* (- x.re x.im) (* x.im (+ x.re x.im))) (* 2 x.im)) (- x.re x.im) (* x.im (+ x.re x.im)) (+ x.re 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)))) (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)) (pow (neg x.im) 3) (* (* x.re (+ x.im x.im)) x.re) (* 2 x.im) (* (- (* (/ x.im x.re) (/ x.im x.re)) 3) (* x.re x.re)) (* (/ x.im x.re) (/ x.im x.re)))
3.0ms	x.im	@	0	((+ (* (+ (* (sqrt x.im) (sqrt x.im)) x.re) (* (- x.re x.im) x.im)) (* (* x.re (+ x.im x.im)) x.re)) (+ (* (sqrt x.im) (sqrt x.im)) x.re) (* (+ (* (sqrt x.im) (sqrt x.im)) x.re) (* (- x.re x.im) x.im)) (sqrt 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.im) (* 3 x.re)) (* x.re x.im) (* 3 x.re) (+ (* (- x.re x.im) (* x.im (+ x.re x.im))) (* 2 x.im)) (- x.re x.im) (* x.im (+ x.re x.im)) (+ x.re 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)))) (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)) (pow (neg x.im) 3) (* (* x.re (+ x.im x.im)) x.re) (* 2 x.im) (* (- (* (/ x.im x.re) (/ x.im x.re)) 3) (* x.re x.re)) (* (/ x.im x.re) (/ x.im x.re)))
3.0ms	x.re	@	inf	((+ (* (+ (* (sqrt x.im) (sqrt x.im)) x.re) (* (- x.re x.im) x.im)) (* (* x.re (+ x.im x.im)) x.re)) (+ (* (sqrt x.im) (sqrt x.im)) x.re) (* (+ (* (sqrt x.im) (sqrt x.im)) x.re) (* (- x.re x.im) x.im)) (sqrt 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.im) (* 3 x.re)) (* x.re x.im) (* 3 x.re) (+ (* (- x.re x.im) (* x.im (+ x.re x.im))) (* 2 x.im)) (- x.re x.im) (* x.im (+ x.re x.im)) (+ x.re 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)))) (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)) (pow (neg x.im) 3) (* (* x.re (+ x.im x.im)) x.re) (* 2 x.im) (* (- (* (/ x.im x.re) (/ x.im x.re)) 3) (* x.re x.re)) (* (/ x.im x.re) (/ x.im x.re)))
3.0ms	x.re	@	-inf	((+ (* (+ (* (sqrt x.im) (sqrt x.im)) x.re) (* (- x.re x.im) x.im)) (* (* x.re (+ x.im x.im)) x.re)) (+ (* (sqrt x.im) (sqrt x.im)) x.re) (* (+ (* (sqrt x.im) (sqrt x.im)) x.re) (* (- x.re x.im) x.im)) (sqrt 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.im) (* 3 x.re)) (* x.re x.im) (* 3 x.re) (+ (* (- x.re x.im) (* x.im (+ x.re x.im))) (* 2 x.im)) (- x.re x.im) (* x.im (+ x.re x.im)) (+ x.re 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)))) (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)) (pow (neg x.im) 3) (* (* x.re (+ x.im x.im)) x.re) (* 2 x.im) (* (- (* (/ x.im x.re) (/ x.im x.re)) 3) (* x.re x.re)) (* (/ x.im x.re) (/ x.im x.re)))

simplify147.0ms (2.1%)

Memory

35.6MiB live, 177.9MiB allocated; 11ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	240	958
1	904	752
2	3871	665
0	8689	641

Stop Event

1×	iter limit
1×	node limit

Counts

79 → 77

Calls

Call 1

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

rewrite298.0ms (4.3%)

Memory

12.0MiB live, 247.8MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	258
0	70	242
1	308	202
2	2166	183
0	9510	175

Stop Event

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

Counts

22 → 1 828

Calls

Call 1

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

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

eval182.0ms (2.7%)

Memory: -4.4MiB live, 179.5MiB allocated; 98ms collecting garbage
Compiler: Compiled 43 286 to 3 078 computations (92.9% saved)

prune58.0ms (0.8%)

Memory

-28.2MiB live, 77.6MiB allocated; 10ms collecting garbage

Pruning

17 alts after pruning (9 fresh and 8 done)

	Pruned	Kept	Total
New	1 078	5	1 083
Fresh	0	4	4
Picked	2	3	5
Done	0	5	5
Total	1 080	17	1 097

Accuracy

100.0%

Counts

1 097 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	60.8%	(fma.f64 (-.f64 x.re x.im) (.f64 x.im (+.f64 x.re x.im)) (.f64 #s(literal 2 binary64) x.im))
	58.6%	(fma.f64 (-.f64 x.re x.im) (.f64 x.im #s(approx (+ x.im x.re) (fma.f64 (/.f64 x.im x.re) x.re x.re))) (.f64 #s(literal 2 binary64) x.im))
	57.9%	(fma.f64 (-.f64 x.re x.im) #s(approx (* x.im (+ x.re x.im)) (.f64 (fma.f64 x.im (/.f64 x.im x.re) x.im) x.re)) (.f64 #s(literal 2 binary64) x.im))
	80.3%	(+.f64 (.f64 (fma.f64 (sqrt.f64 x.im) (sqrt.f64 x.im) x.re) (.f64 (-.f64 x.re x.im) x.im)) #s(literal 0 binary64))
	88.7%	(+.f64 (.f64 (+.f64 x.im x.re) #s(approx ( (- x.re x.im) x.im) (.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
	15.8%	(+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (.f64 (.f64 x.im x.re) x.re)) (/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64))) x.re) (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)))))
✓	61.5%	#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)))
✓	43.6%	#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.re x.re) #s(literal 3 binary64)) x.im))
	51.2%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) x.re))
✓	51.1%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re))
✓	51.1%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re))
✓	51.1%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.re x.im) (*.f64 #s(literal 3 binary64) x.re)))
	18.5%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.im x.im) x.im))
✓	88.7%	#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)))))
	59.2%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 x.im) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (.f64 (-.f64 (/.f64 (.f64 x.im x.im) (.f64 x.re x.re)) #s(literal 3 binary64)) (.f64 x.re x.re)))))
✓	61.4%	#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 (+ ( x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im))))
	19.9%	#s(approx (+ (* (- x.re x.im) (* x.im (+ x.re x.im))) (* 2 x.im)) (*.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im))

Compiler

Compiled 1 145 to 397 computations (65.3% saved)

regimes50.0ms (0.7%)

Memory

-9.6MiB live, 36.5MiB allocated; 5ms collecting garbage

Counts

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.8%	2	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`
96.3%	2	`x.re`
99.8%	2	`x.im`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes7.0ms (0.1%)

Memory

14.3MiB live, 14.3MiB allocated; 0ms collecting garbage

Counts

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

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

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

Calls

2 calls:

4.0ms	x.im
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
99.8%	3	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`
99.1%	3	`x.im`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes3.0ms (0%)

Memory

6.6MiB live, 6.6MiB allocated; 0ms collecting garbage

Counts

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

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

Calls

1 calls:

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
99.6%	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)

regimes3.0ms (0%)

Memory

5.5MiB live, 5.5MiB allocated; 0ms collecting garbage

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

#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) #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
99.2%	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))`

Compiler

Compiled 19 to 11 computations (42.1% saved)

regimes2.0ms (0%)

Memory

5.0MiB live, 5.0MiB allocated; 0ms collecting garbage

Counts

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

#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (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
99.2%	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))`

Compiler

Compiled 19 to 11 computations (42.1% saved)

regimes5.0ms (0.1%)

Memory

11.4MiB live, 11.4MiB allocated; 0ms collecting garbage

Counts

3 → 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.im) (* x.im (+ x.re x.im))) (* 2 x.im)) (*.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im))

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

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

Calls

3 calls:

2.0ms	x.im
2.0ms	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
73.7%	2	`x.re`
61.4%	1	`x.im`
79.0%	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)

regimes20.0ms (0.3%)

Memory

-37.2MiB live, 10.2MiB allocated; 4ms collecting garbage

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

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

Calls

3 calls:

17.0ms	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
27.0%	2	`x.im`
30.6%	2	`x.re`
30.6%	2	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes3.0ms (0%)

Memory

9.2MiB live, 9.2MiB allocated; 0ms collecting garbage

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

Results

Accuracy	Segments	Branch
18.5%	1	`x.im`
18.5%	1	`x.re`
18.5%	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)

bsearch12.0ms (0.2%)

Memory

25.8MiB live, 25.8MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	2.1077125219243834e+39	1.2165239755578703e+40

Samples

7.0ms

96×

valid

Compiler

Compiled 196 to 136 computations (30.6% saved)

Precisions

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

ival-mult: 3.0ms (65.8% of total)

ival-add: 1.0ms (21.9% of total)

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

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

adjust: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	1.4437634665993502e-186	3.7761249380256254e-186

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-2.204359119696e-312	0.0

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-2.204359119696e-312	0.0

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-2.204359119696e-312	0.0

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	1.7740134253089421e-265	2.3454398892514868e-222

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.7740134253089421e-265	2.3454398892514868e-222

Compiler

Compiled 22 to 16 computations (27.3% saved)

simplify62.0ms (0.9%)

Memory

-25.2MiB live, 72.2MiB allocated; 7ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	83	675
1	145	653
2	335	649
3	1127	605
4	2887	605
5	6855	605

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 x.im #s(literal 11999999999999999880972906266552730386432 binary64)) (+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)) (fma.f64 (-.f64 x.re x.im) (.f64 x.im (+.f64 x.re x.im)) (.f64 #s(literal 2 binary64) x.im)))
(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal 2449441655328671/1224720827664335609236962600350409901130557945655466490308353887654080091579137561403602952202220552420938147431280980285494456125931768646260680344573194358953094033321469230156313571586348749061881856 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 x.im) (fma.f64 x.im x.im (.f64 #s(literal -3 binary64) (.f64 x.re x.re))))) (if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (.f64 x.re x.im) #s(literal 3 binary64)) x.re)) (fma.f64 (-.f64 x.re x.im) (.f64 x.im (+.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.im))))
(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal -404804506615/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (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.re x.im) #s(literal 3 binary64)) x.re)) (fma.f64 (-.f64 x.re x.im) (.f64 x.im (+.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.im))))
(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal -404804506615/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (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.re x.im) #s(literal 3 binary64)) x.re)) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 x.im) #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 -404804506615/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (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 x.re x.im) (.f64 #s(literal 3 binary64) x.re))) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (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 7260824748426675/36304123742133375556593322708737806643829594767075060035541305159080582450205184901005085803128817153071257905034008131114613897596311174506612074733945181293529561534361813328678867427595159591558574115780064384913763396164010744339772923348355910229786257457376560371673958711296 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.im) (* x.im (+ x.re x.im))) (* 2 x.im)) (.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im)) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (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 7260824748426675/36304123742133375556593322708737806643829594767075060035541305159080582450205184901005085803128817153071257905034008131114613897596311174506612074733945181293529561534361813328678867427595159591558574115780064384913763396164010744339772923348355910229786257457376560371673958711296 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.im x.im) x.im)) #s(approx (+ (* (- x.re x.im) (* x.im (+ x.re x.im))) (* 2 x.im)) (*.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.im x.im) x.im))

Outputs
(if (<=.f64 x.im #s(literal 11999999999999999880972906266552730386432 binary64)) (+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)) (fma.f64 (-.f64 x.re x.im) (.f64 x.im (+.f64 x.re x.im)) (.f64 #s(literal 2 binary64) x.im)))
(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal 2449441655328671/1224720827664335609236962600350409901130557945655466490308353887654080091579137561403602952202220552420938147431280980285494456125931768646260680344573194358953094033321469230156313571586348749061881856 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 x.im) (fma.f64 x.im x.im (.f64 #s(literal -3 binary64) (.f64 x.re x.re))))) (if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (.f64 x.re x.im) #s(literal 3 binary64)) x.re)) (fma.f64 (-.f64 x.re x.im) (.f64 x.im (+.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.im))))
(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal -404804506615/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (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.re x.im) #s(literal 3 binary64)) x.re)) (fma.f64 (-.f64 x.re x.im) (.f64 x.im (+.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.im))))
(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal -404804506615/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (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.re x.im) #s(literal 3 binary64)) x.re)) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 x.im) #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 -404804506615/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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.re x.im) #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 -404804506615/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (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 x.re x.im) (.f64 #s(literal 3 binary64) x.re))) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (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 -404804506615/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 x.re x.im) (*.f64 #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 7260824748426675/36304123742133375556593322708737806643829594767075060035541305159080582450205184901005085803128817153071257905034008131114613897596311174506612074733945181293529561534361813328678867427595159591558574115780064384913763396164010744339772923348355910229786257457376560371673958711296 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.im) (* x.im (+ x.re x.im))) (* 2 x.im)) (.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im)) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (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 7260824748426675/36304123742133375556593322708737806643829594767075060035541305159080582450205184901005085803128817153071257905034008131114613897596311174506612074733945181293529561534361813328678867427595159591558574115780064384913763396164010744339772923348355910229786257457376560371673958711296 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.im) (* x.im (+ x.re x.im))) (* 2 x.im)) (*.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im)))
(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal 7260824748426675/36304123742133375556593322708737806643829594767075060035541305159080582450205184901005085803128817153071257905034008131114613897596311174506612074733945181293529561534361813328678867427595159591558574115780064384913763396164010744339772923348355910229786257457376560371673958711296 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.im x.im) x.im)) #s(approx (+ (* (- x.re x.im) (* x.im (+ x.re x.im))) (* 2 x.im)) (*.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.im x.im) x.im))

derivations996.0ms (14.5%)

Memory

35.5MiB live, 1 020.2MiB allocated; 138ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	215
1	202	207
2	773	206
3	4378	206
0	8308	201
0	44	285
0	69	285
1	255	257
2	1727	252
0	8319	241
0	11	51
0	20	51
1	89	39
0	691	38
0	182	834
1	675	663
2	2795	599
0	8719	585
0	46	261
0	71	245
1	261	217
2	1678	217
0	8621	209
0	44	258
0	70	242
1	308	202
2	2166	183
0	9510	175
0	240	958
1	904	752
2	3871	665
0	8689	641

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

Compiler

Compiled 675 to 85 computations (87.4% saved)

preprocess328.0ms (4.8%)

Memory: 21.0MiB live, 364.2MiB allocated; 187ms collecting garbage
Remove: (abs x.re)
Compiler: Compiled 2 106 to 466 computations (77.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze0.0ms (0%)

sample1.1s (15.4%)

explain234.0ms (3.4%)

preprocess185.0ms (2.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify251.0ms (3.7%)

localize53.0ms (0.8%)

series12.0ms (0.2%)

simplify193.0ms (2.8%)

rewrite91.0ms (1.3%)

eval13.0ms (0.2%)

prune25.0ms (0.4%)

simplify179.0ms (2.6%)

localize141.0ms (2.1%)

series23.0ms (0.3%)

simplify337.0ms (4.9%)

rewrite292.0ms (4.3%)

eval86.0ms (1.2%)

prune54.0ms (0.8%)

simplify152.0ms (2.2%)

localize143.0ms (2.1%)

series22.0ms (0.3%)

simplify198.0ms (2.9%)

rewrite420.0ms (6.1%)

eval101.0ms (1.5%)

prune41.0ms (0.6%)

simplify170.0ms (2.5%)

localize175.0ms (2.6%)

series22.0ms (0.3%)

simplify147.0ms (2.1%)

rewrite298.0ms (4.3%)

eval182.0ms (2.7%)

prune58.0ms (0.8%)

regimes50.0ms (0.7%)

regimes7.0ms (0.1%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes5.0ms (0.1%)

regimes20.0ms (0.3%)

regimes3.0ms (0%)

bsearch12.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify62.0ms (0.9%)

derivations996.0ms (14.5%)

preprocess328.0ms (4.8%)

end0.0ms (0%)

Profiling