Metrics for math.cube on complex, real part

start0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB 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)

sample1.2s (20.4%)

Memory

9.9MiB live, 1 704.4MiB allocated; 321ms collecting garbage

Samples

888.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 615.0ms

ival-mult: 427.0ms (69.5% of total)

ival-sub: 93.0ms (15.1% of total)

ival-add: 82.0ms (13.3% of total)

ival-true: 7.0ms (1.1% of total)

ival-assert: 4.0ms (0.7% of total)

adjust: 2.0ms (0.3% of total)

Bogosity

explain156.0ms (2.6%)

Memory

3.2MiB live, 285.0MiB allocated; 21ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
19	-	-	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`
18	-	-	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)`
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.im)`
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.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`	nan-rescue	19	0
↳	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)`	overflow	120
↳	`(*.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.im) (*.f64 x.im x.re)) x.im)`	overflow	67
↳	`(*.f64 x.im x.re)`	overflow	33
↳	`(+.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.re)`	*no**	18	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 -
+	46	0
-	0	210

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	210
1	45
2	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

48.0ms

512×

valid

Compiler

Compiled 153 to 37 computations (75.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-mult: 23.0ms (74.6% of total)

ival-sub: 4.0ms (13% of total)

ival-add: 2.0ms (6.5% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess202.0ms (3.4%)

Memory

27.2MiB live, 213.4MiB allocated; 38ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	31	103
1	105	87
2	385	85
3	1115	56
4	3886	55
0	11	19
0	20	19
1	43	17
2	140	17
3	482	14
4	1368	11
5	4473	11
0	8270	11

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs x.im)

(negabs x.re)

Compiler

Compiled 19 to 11 computations (42.1% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	82.4%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))

Compiler

Compiled 19 to 11 computations (42.1% saved)

simplify174.0ms (2.9%)

Memory

-17.6MiB live, 138.4MiB allocated; 23ms 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.re)
cost-diff	2	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
cost-diff	6	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	11	65
0	20	65
1	43	59
2	140	59
3	482	56
4	1368	53
5	4473	53
0	8270	53

Stop Event

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

Calls

Call 1

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

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

localize71.0ms (1.2%)

Memory

3.0MiB live, 46.5MiB allocated; 4ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.1875	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
accuracy	2.4492001724718526	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
accuracy	3.8554687500000004	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
accuracy	4.244254359564932	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)

Samples

64.0ms

256×

valid

Compiler

Compiled 67 to 13 computations (80.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-add: 43.0ms (77.8% of total)

ival-mult: 9.0ms (16.3% of total)

ival-sub: 2.0ms (3.6% of total)

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

adjust: 0.0ms (0% of total)

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

series24.0ms (0.4%)

Memory

-23.0MiB live, 20.7MiB allocated; 6ms collecting garbage

Counts

5 → 22

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
14.0ms	x.im	@	0	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* x.re x.im) (* x.im x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
2.0ms	x.re	@	-inf	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* x.re x.im) (* x.im x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
2.0ms	x.re	@	0	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* x.re x.im) (* x.im x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
2.0ms	x.re	@	inf	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* x.re x.im) (* x.im x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
2.0ms	x.im	@	inf	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* x.re x.im) (* x.im x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))

simplify213.0ms (3.6%)

Memory

17.0MiB live, 163.2MiB allocated; 21ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	237
1	172	217
2	610	208
3	3532	208
0	8354	202

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 22

Calls

Call 1

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

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

rewrite73.0ms (1.2%)

Memory

2.0MiB live, 45.8MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	51
0	20	51
1	88	39
0	679	38

Stop Event

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

Counts

5 → 115

Calls

Call 1

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

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

eval13.0ms (0.2%)

Memory: 23.9MiB live, 23.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 3 247 to 479 computations (85.2% saved)

prune41.0ms (0.7%)

Memory

-34.8MiB live, 28.4MiB allocated; 4ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

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

Accuracy

100.0%

Counts

134 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	60.2%	(-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (.f64 (.f64 (neg.f64 x.im) x.re) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
▶	55.6%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64)))
▶	89.4%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (*.f64 x.re x.re)) x.re))
▶	72.8%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64))) (*.f64 x.im x.im)))
▶	60.2%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.re) x.im)))

Compiler

Compiled 280 to 162 computations (42.1% saved)

simplify248.0ms (4.2%)

Memory

17.1MiB live, 205.3MiB allocated; 20ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	288
0	58	288
1	117	274
2	336	274
3	1053	262
4	4364	258
0	8093	253

Stop Event

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

Calls

Call 1

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

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

localize131.0ms (2.2%)

Memory

-17.1MiB live, 123.6MiB allocated; 4ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0	(pow.f64 x.re #s(literal 3 binary64))
accuracy	28.42527940214613	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64)))
accuracy	0.12890625	(/.f64 (/.f64 x.re x.im) x.im)
accuracy	0.3821792052909847	(*.f64 x.re (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64)))
accuracy	2.1800673505198884	(fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64))
accuracy	13.808041969877232	(.f64 (.f64 x.re (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64))) (*.f64 x.im x.im))
accuracy	0.1875	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
accuracy	0.19140625	(.f64 (.f64 (neg.f64 x.im) x.re) x.im)
accuracy	3.8554687500000004	(-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (.f64 (.f64 (neg.f64 x.im) x.re) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
accuracy	25.427326687365774	#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (.f64 (.f64 (neg.f64 x.im) x.re) x.im))
accuracy	0.0	(*.f64 x.im x.re)
accuracy	0.15625	(.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.re) x.im))
accuracy	0.19140625	(.f64 (.f64 x.im x.re) x.im)
accuracy	25.41975984717058	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.re) x.im)))
accuracy	0.0	(*.f64 x.im x.im)
accuracy	0.0	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (*.f64 x.re x.re)) x.re))
accuracy	2.523418922471852	(fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (.f64 x.re x.re))
accuracy	4.238923342187578	(.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (*.f64 x.re x.re)) x.re)

Samples

74.0ms	223×	0	valid
22.0ms	5×	4	valid
6.0ms	9×	3	valid
5.0ms	9×	2	valid
4.0ms	10×	1	valid

Compiler

Compiled 243 to 30 computations (87.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 75.0ms

ival-mult: 25.0ms (33.3% of total)

adjust: 23.0ms (30.6% of total)

ival-div: 15.0ms (20% of total)

ival-add: 4.0ms (5.3% of total)

ival-sub: 3.0ms (4% of total)

ival-pow: 3.0ms (4% of total)

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

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

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

exact: 0.0ms (0% of total)

series21.0ms (0.3%)

Memory

17.4MiB live, 17.4MiB allocated; 0ms collecting garbage

Counts

20 → 43

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	x.re	@	0	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* -3 (* x.im x.im)) (* x.re x.re)) x.re) (+ (* -3 (* x.im x.im)) (* x.re x.re)) (* x.im x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.im x.re) x.im)) (* (* x.im x.re) x.im) (* x.im x.re) (+ (* x.re x.im) (* x.im x.re)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (* (neg x.im) x.re) x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (* x.im x.im)) (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (+ (* (/ (/ x.re x.im) x.im) x.re) -3) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow x.re 3) (* (+ (* x.re x.im) (* x.im x.re)) x.im) (/ (/ x.re x.im) x.im))
4.0ms	x.re	@	-inf	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* -3 (* x.im x.im)) (* x.re x.re)) x.re) (+ (* -3 (* x.im x.im)) (* x.re x.re)) (* x.im x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.im x.re) x.im)) (* (* x.im x.re) x.im) (* x.im x.re) (+ (* x.re x.im) (* x.im x.re)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (* (neg x.im) x.re) x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (* x.im x.im)) (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (+ (* (/ (/ x.re x.im) x.im) x.re) -3) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow x.re 3) (* (+ (* x.re x.im) (* x.im x.re)) x.im) (/ (/ x.re x.im) x.im))
4.0ms	x.re	@	inf	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* -3 (* x.im x.im)) (* x.re x.re)) x.re) (+ (* -3 (* x.im x.im)) (* x.re x.re)) (* x.im x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.im x.re) x.im)) (* (* x.im x.re) x.im) (* x.im x.re) (+ (* x.re x.im) (* x.im x.re)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (* (neg x.im) x.re) x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (* x.im x.im)) (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (+ (* (/ (/ x.re x.im) x.im) x.re) -3) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow x.re 3) (* (+ (* x.re x.im) (* x.im x.re)) x.im) (/ (/ x.re x.im) x.im))
3.0ms	x.im	@	inf	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* -3 (* x.im x.im)) (* x.re x.re)) x.re) (+ (* -3 (* x.im x.im)) (* x.re x.re)) (* x.im x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.im x.re) x.im)) (* (* x.im x.re) x.im) (* x.im x.re) (+ (* x.re x.im) (* x.im x.re)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (* (neg x.im) x.re) x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (* x.im x.im)) (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (+ (* (/ (/ x.re x.im) x.im) x.re) -3) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow x.re 3) (* (+ (* x.re x.im) (* x.im x.re)) x.im) (/ (/ x.re x.im) x.im))
2.0ms	x.im	@	0	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* -3 (* x.im x.im)) (* x.re x.re)) x.re) (+ (* -3 (* x.im x.im)) (* x.re x.re)) (* x.im x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.im x.re) x.im)) (* (* x.im x.re) x.im) (* x.im x.re) (+ (* x.re x.im) (* x.im x.re)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (* (neg x.im) x.re) x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (* x.im x.im)) (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (+ (* (/ (/ x.re x.im) x.im) x.re) -3) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow x.re 3) (* (+ (* x.re x.im) (* x.im x.re)) x.im) (/ (/ x.re x.im) x.im))

simplify246.0ms (4.1%)

Memory

-46.8MiB live, 158.8MiB allocated; 84ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	452
1	248	416
2	849	400
3	5178	400
0	8432	383

Stop Event

1×	iter limit
1×	node limit

Counts

43 → 43

Calls

Call 1

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

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

rewrite309.0ms (5.2%)

Memory

29.7MiB live, 174.3MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	254
0	58	254
1	205	226
2	1345	222
0	8198	217

Stop Event

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

Counts

20 → 425

Calls

Call 1

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

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

eval101.0ms (1.7%)

Memory: -3.9MiB live, 97.6MiB allocated; 11ms collecting garbage
Compiler: Compiled 22 024 to 1 896 computations (91.4% saved)

prune50.0ms (0.8%)

Memory

-12.6MiB live, 33.8MiB allocated; 2ms collecting garbage

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	476	6	482
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	478	9	487

Accuracy

100.0%

Counts

487 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	55.6%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64)))
✓	89.4%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (*.f64 x.re x.re)) x.re))
▶	93.2%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64)) x.re) x.im) x.im))
	67.8%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re (fma.f64 (/.f64 x.re (.f64 x.im x.im)) x.re #s(literal -3 binary64))) (.f64 x.im x.im)))
▶	53.7%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re #s(approx (+ (* (/ (/ x.re x.im) x.im) x.re) -3) #s(literal -3 binary64))) (*.f64 x.im x.im)))
▶	21.5%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re x.re) (neg.f64 x.re)))
▶	55.5%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re x.re) x.re))
▶	60.1%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.im x.re) (*.f64 #s(literal -3 binary64) x.im)))
✓	60.2%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.re) x.im)))

Compiler

Compiled 444 to 257 computations (42.1% saved)

simplify183.0ms (3.1%)

Memory

16.8MiB live, 160.8MiB allocated; 14ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	284
0	54	284
1	108	258
2	305	258
3	958	243
4	3190	228
0	8302	223

Stop Event

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

Calls

Call 1

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

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

localize130.0ms (2.2%)

Memory

5.3MiB live, 193.9MiB allocated; 23ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re #s(approx (+ (* (/ (/ x.re x.im) x.im) x.re) -3) #s(literal -3 binary64))) (*.f64 x.im x.im)))
accuracy	0.3821792052909847	(.f64 x.re #s(approx (+ ( (/ (/ x.re x.im) x.im) x.re) -3) #s(literal -3 binary64)))
accuracy	13.808041969877232	(.f64 (.f64 x.re #s(approx (+ (* (/ (/ x.re x.im) x.im) x.re) -3) #s(literal -3 binary64))) (*.f64 x.im x.im))
accuracy	29.297731104030706	#s(approx (+ (* (/ (/ x.re x.im) x.im) x.re) -3) #s(literal -3 binary64))
accuracy	0.0	(*.f64 x.im x.re)
accuracy	0.0	(*.f64 #s(literal -3 binary64) x.im)
accuracy	0.18816376953688405	(.f64 (.f64 x.im x.re) (*.f64 #s(literal -3 binary64) x.im))
accuracy	25.41975984717058	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.im x.re) (*.f64 #s(literal -3 binary64) x.im)))
accuracy	0.0	(*.f64 x.re x.re)
accuracy	0.0	(neg.f64 x.re)
accuracy	0.08203125	(.f64 (.f64 x.re x.re) (neg.f64 x.re))
accuracy	50.25638994747769	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re x.re) (neg.f64 x.re)))
accuracy	0.0	(*.f64 x.re x.re)
accuracy	0.08203125	(.f64 (.f64 x.re x.re) x.re)
accuracy	28.42527940214613	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re x.re) x.re))
accuracy	0.21484375	(pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))
accuracy	0.3821792052909847	(*.f64 (+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64)) x.re)
accuracy	1.7607390984730689	(.f64 (.f64 (+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64)) x.re) x.im)
accuracy	2.415097202894362	(.f64 (.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64)) x.re) x.im) x.im)

Samples

57.0ms	223×	0	valid
8.0ms	9×	3	valid
5.0ms	9×	2	valid
4.0ms	5×	4	valid
4.0ms	10×	1	valid

Compiler

Compiled 227 to 31 computations (86.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-mult: 32.0ms (53% of total)

ival-div: 10.0ms (16.6% of total)

ival-add: 6.0ms (9.9% of total)

adjust: 5.0ms (8.3% of total)

ival-pow2: 3.0ms (5% of total)

ival-sub: 3.0ms (5% of total)

ival-neg: 1.0ms (1.7% of total)

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

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

exact: 0.0ms (0% of total)

series32.0ms (0.5%)

Memory

-20.4MiB live, 27.2MiB allocated; 3ms collecting garbage

Counts

19 → 39

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
16.0ms	x.re	@	inf	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) x.im) (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) (* (+ (pow (/ x.re x.im) 2) -3) x.re) (* (* x.re x.re) x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* x.re x.re) (* (* x.re x.re) (neg x.re)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (neg x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.im x.re) (* -3 x.im)) (* x.im x.re) (* -3 x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (* x.im x.im)) (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (+ (* (/ (/ x.re x.im) x.im) x.re) -3) (pow (/ x.re x.im) 2))
4.0ms	x.im	@	0	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) x.im) (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) (* (+ (pow (/ x.re x.im) 2) -3) x.re) (* (* x.re x.re) x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* x.re x.re) (* (* x.re x.re) (neg x.re)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (neg x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.im x.re) (* -3 x.im)) (* x.im x.re) (* -3 x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (* x.im x.im)) (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (+ (* (/ (/ x.re x.im) x.im) x.re) -3) (pow (/ x.re x.im) 2))
4.0ms	x.re	@	-inf	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) x.im) (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) (* (+ (pow (/ x.re x.im) 2) -3) x.re) (* (* x.re x.re) x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* x.re x.re) (* (* x.re x.re) (neg x.re)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (neg x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.im x.re) (* -3 x.im)) (* x.im x.re) (* -3 x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (* x.im x.im)) (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (+ (* (/ (/ x.re x.im) x.im) x.re) -3) (pow (/ x.re x.im) 2))
2.0ms	x.im	@	-inf	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) x.im) (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) (* (+ (pow (/ x.re x.im) 2) -3) x.re) (* (* x.re x.re) x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* x.re x.re) (* (* x.re x.re) (neg x.re)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (neg x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.im x.re) (* -3 x.im)) (* x.im x.re) (* -3 x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (* x.im x.im)) (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (+ (* (/ (/ x.re x.im) x.im) x.re) -3) (pow (/ x.re x.im) 2))
2.0ms	x.re	@	0	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) x.im) (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) (* (+ (pow (/ x.re x.im) 2) -3) x.re) (* (* x.re x.re) x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* x.re x.re) (* (* x.re x.re) (neg x.re)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (neg x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.im x.re) (* -3 x.im)) (* x.im x.re) (* -3 x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (* x.im x.im)) (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (+ (* (/ (/ x.re x.im) x.im) x.re) -3) (pow (/ x.re x.im) 2))

simplify164.0ms (2.8%)

Memory

-0.4MiB live, 145.8MiB allocated; 14ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	92	421
1	269	389
2	931	373
3	5221	373
0	8276	355

Stop Event

1×	iter limit
1×	node limit

Counts

39 → 39

Calls

Call 1

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

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

rewrite147.0ms (2.5%)

Memory

1.8MiB live, 139.1MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	256
0	54	246
1	186	218
2	1185	218
0	8769	208

Stop Event

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

Counts

19 → 232

Calls

Call 1

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

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

eval84.0ms (1.4%)

Memory: 1.4MiB live, 55.9MiB allocated; 4ms collecting garbage
Compiler: Compiled 8 975 to 974 computations (89.1% saved)

prune43.0ms (0.7%)

Memory

7.1MiB live, 49.0MiB allocated; 6ms collecting garbage

Pruning

11 alts after pruning (4 fresh and 7 done)

	Pruned	Kept	Total
New	248	3	251
Fresh	0	1	1
Picked	1	4	5
Done	0	3	3
Total	249	11	260

Accuracy

100.0%

Counts

260 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	55.6%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64)))
✓	89.4%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (*.f64 x.re x.re)) x.re))
▶	60.2%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (.f64 #s(approx (+ ( (/ (/ x.re x.im) x.im) x.re) -3) #s(literal -3 binary64)) x.re) x.im) x.im))
▶	53.7%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (.f64 #s(approx (+ ( (/ (/ x.re x.im) x.im) x.re) -3) #s(literal -3 binary64)) x.im) x.im) x.re))
▶	67.8%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re (fma.f64 (/.f64 x.re (.f64 x.im x.im)) x.re #s(literal -3 binary64))) (.f64 x.im x.im)))
✓	53.7%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re #s(approx (+ (* (/ (/ x.re x.im) x.im) x.re) -3) #s(literal -3 binary64))) (*.f64 x.im x.im)))
✓	21.5%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re x.re) (neg.f64 x.re)))
✓	55.5%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re x.re) x.re))
✓	60.1%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.im x.re) (*.f64 #s(literal -3 binary64) x.im)))
▶	92.6%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx ( (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) (.f64 (fma.f64 #s(literal -3 binary64) x.im (/.f64 (.f64 x.re x.re) x.im)) x.re)) x.im))
✓	60.2%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.re) x.im)))

Compiler

Compiled 347 to 202 computations (41.8% saved)

simplify341.0ms (5.8%)

Memory

10.0MiB live, 275.9MiB allocated; 84ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	388
0	60	378
1	124	356
2	366	356
3	1293	344
4	4999	344
0	8268	340

Stop Event

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

Calls

Call 1

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

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

localize226.0ms (3.8%)

Memory

20.6MiB live, 404.3MiB allocated; 75ms collecting garbage

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.3821792052909847	(.f64 #s(approx (+ ( (/ (/ x.re x.im) x.im) x.re) -3) #s(literal -3 binary64)) x.re)
accuracy	1.7607390984730689	(.f64 (.f64 #s(approx (+ (* (/ (/ x.re x.im) x.im) x.re) -3) #s(literal -3 binary64)) x.re) x.im)
accuracy	2.415097202894362	(.f64 (.f64 (.f64 #s(approx (+ ( (/ (/ x.re x.im) x.im) x.re) -3) #s(literal -3 binary64)) x.re) x.im) x.im)
accuracy	29.297731104030706	#s(approx (+ (* (/ (/ x.re x.im) x.im) x.re) -3) #s(literal -3 binary64))
accuracy	2.9521971117396992	(.f64 #s(approx (+ ( (/ (/ x.re x.im) x.im) x.re) -3) #s(literal -3 binary64)) x.im)
accuracy	3.0905655288602714	(.f64 (.f64 #s(approx (+ (* (/ (/ x.re x.im) x.im) x.re) -3) #s(literal -3 binary64)) x.im) x.im)
accuracy	4.238923342187578	(.f64 (.f64 (.f64 #s(approx (+ ( (/ (/ x.re x.im) x.im) x.re) -3) #s(literal -3 binary64)) x.im) x.im) x.re)
accuracy	29.297731104030706	#s(approx (+ (* (/ (/ x.re x.im) x.im) x.re) -3) #s(literal -3 binary64))
accuracy	0.3821792052909847	(.f64 x.re (fma.f64 (/.f64 x.re (.f64 x.im x.im)) x.re #s(literal -3 binary64)))
accuracy	2.1800673505198884	(fma.f64 (/.f64 x.re (*.f64 x.im x.im)) x.re #s(literal -3 binary64))
accuracy	5.943298529249473	(/.f64 x.re (*.f64 x.im x.im))
accuracy	13.808041969877232	(.f64 (.f64 x.re (fma.f64 (/.f64 x.re (.f64 x.im x.im)) x.re #s(literal -3 binary64))) (.f64 x.im x.im))
accuracy	0.06640625	(fma.f64 #s(literal -3 binary64) x.im (/.f64 (*.f64 x.re x.re) x.im))
accuracy	0.1484375	(.f64 (fma.f64 #s(literal -3 binary64) x.im (/.f64 (.f64 x.re x.re) x.im)) x.re)
accuracy	2.415097202894362	(.f64 #s(approx ( (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) (.f64 (fma.f64 #s(literal -3 binary64) x.im (/.f64 (.f64 x.re x.re) x.im)) x.re)) x.im)
accuracy	9.094849458751737	(/.f64 (*.f64 x.re x.re) x.im)

Samples

144.0ms	199×	0	valid
18.0ms	18×	3	valid
16.0ms	13×	4	valid
10.0ms	15×	1	valid
9.0ms	11×	2	valid

Compiler

Compiled 281 to 38 computations (86.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 174.0ms

ival-mult: 87.0ms (50.1% of total)

ival-div: 58.0ms (33.4% of total)

adjust: 13.0ms (7.5% of total)

ival-add: 8.0ms (4.6% of total)

ival-pow2: 4.0ms (2.3% of total)

ival-sub: 3.0ms (1.7% of total)

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

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

exact: 0.0ms (0% of total)

series22.0ms (0.4%)

Memory

8.1MiB live, 56.7MiB allocated; 11ms collecting garbage

Counts

20 → 47

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	x.re	@	inf	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) x.im) (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) (* (+ (* -3 x.im) (/ (* x.re x.re) x.im)) x.re) (+ (* (/ x.re (* x.im x.im)) x.re) -3) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.re (+ (* (/ x.re (* x.im x.im)) x.re) -3)) (* x.im x.im)) (* x.re (+ (* (/ x.re (* x.im x.im)) x.re) -3)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* (+ (* (/ (/ x.re x.im) x.im) x.re) -3) x.im) x.im) x.re) (* (* (+ (* (/ (/ x.re x.im) x.im) x.re) -3) x.im) x.im) (* (+ (* (/ (/ x.re x.im) x.im) x.re) -3) x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* (+ (* (/ (/ x.re x.im) x.im) x.re) -3) x.re) x.im) x.im) (* (* (+ (* (/ (/ x.re x.im) x.im) x.re) -3) x.re) x.im) (* (+ (* (/ (/ x.re x.im) x.im) x.re) -3) x.re) (/ (* x.re x.re) x.im) (+ (* -3 x.im) (/ (* x.re x.re) x.im)) (/ x.re (* x.im x.im)) (+ (* (/ (/ x.re x.im) x.im) x.re) -3))
3.0ms	x.re	@	-inf	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) x.im) (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) (* (+ (* -3 x.im) (/ (* x.re x.re) x.im)) x.re) (+ (* (/ x.re (* x.im x.im)) x.re) -3) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.re (+ (* (/ x.re (* x.im x.im)) x.re) -3)) (* x.im x.im)) (* x.re (+ (* (/ x.re (* x.im x.im)) x.re) -3)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* (+ (* (/ (/ x.re x.im) x.im) x.re) -3) x.im) x.im) x.re) (* (* (+ (* (/ (/ x.re x.im) x.im) x.re) -3) x.im) x.im) (* (+ (* (/ (/ x.re x.im) x.im) x.re) -3) x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* (+ (* (/ (/ x.re x.im) x.im) x.re) -3) x.re) x.im) x.im) (* (* (+ (* (/ (/ x.re x.im) x.im) x.re) -3) x.re) x.im) (* (+ (* (/ (/ x.re x.im) x.im) x.re) -3) x.re) (/ (* x.re x.re) x.im) (+ (* -3 x.im) (/ (* x.re x.re) x.im)) (/ x.re (* x.im x.im)) (+ (* (/ (/ x.re x.im) x.im) x.re) -3))
3.0ms	x.im	@	-inf	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) x.im) (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) (* (+ (* -3 x.im) (/ (* x.re x.re) x.im)) x.re) (+ (* (/ x.re (* x.im x.im)) x.re) -3) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.re (+ (* (/ x.re (* x.im x.im)) x.re) -3)) (* x.im x.im)) (* x.re (+ (* (/ x.re (* x.im x.im)) x.re) -3)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* (+ (* (/ (/ x.re x.im) x.im) x.re) -3) x.im) x.im) x.re) (* (* (+ (* (/ (/ x.re x.im) x.im) x.re) -3) x.im) x.im) (* (+ (* (/ (/ x.re x.im) x.im) x.re) -3) x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* (+ (* (/ (/ x.re x.im) x.im) x.re) -3) x.re) x.im) x.im) (* (* (+ (* (/ (/ x.re x.im) x.im) x.re) -3) x.re) x.im) (* (+ (* (/ (/ x.re x.im) x.im) x.re) -3) x.re) (/ (* x.re x.re) x.im) (+ (* -3 x.im) (/ (* x.re x.re) x.im)) (/ x.re (* x.im x.im)) (+ (* (/ (/ x.re x.im) x.im) x.re) -3))
3.0ms	x.re	@	0	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) x.im) (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) (* (+ (* -3 x.im) (/ (* x.re x.re) x.im)) x.re) (+ (* (/ x.re (* x.im x.im)) x.re) -3) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.re (+ (* (/ x.re (* x.im x.im)) x.re) -3)) (* x.im x.im)) (* x.re (+ (* (/ x.re (* x.im x.im)) x.re) -3)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* (+ (* (/ (/ x.re x.im) x.im) x.re) -3) x.im) x.im) x.re) (* (* (+ (* (/ (/ x.re x.im) x.im) x.re) -3) x.im) x.im) (* (+ (* (/ (/ x.re x.im) x.im) x.re) -3) x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* (+ (* (/ (/ x.re x.im) x.im) x.re) -3) x.re) x.im) x.im) (* (* (+ (* (/ (/ x.re x.im) x.im) x.re) -3) x.re) x.im) (* (+ (* (/ (/ x.re x.im) x.im) x.re) -3) x.re) (/ (* x.re x.re) x.im) (+ (* -3 x.im) (/ (* x.re x.re) x.im)) (/ x.re (* x.im x.im)) (+ (* (/ (/ x.re x.im) x.im) x.re) -3))
2.0ms	x.im	@	inf	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) x.im) (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) (* (+ (* -3 x.im) (/ (* x.re x.re) x.im)) x.re) (+ (* (/ x.re (* x.im x.im)) x.re) -3) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.re (+ (* (/ x.re (* x.im x.im)) x.re) -3)) (* x.im x.im)) (* x.re (+ (* (/ x.re (* x.im x.im)) x.re) -3)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* (+ (* (/ (/ x.re x.im) x.im) x.re) -3) x.im) x.im) x.re) (* (* (+ (* (/ (/ x.re x.im) x.im) x.re) -3) x.im) x.im) (* (+ (* (/ (/ x.re x.im) x.im) x.re) -3) x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* (+ (* (/ (/ x.re x.im) x.im) x.re) -3) x.re) x.im) x.im) (* (* (+ (* (/ (/ x.re x.im) x.im) x.re) -3) x.re) x.im) (* (+ (* (/ (/ x.re x.im) x.im) x.re) -3) x.re) (/ (* x.re x.re) x.im) (+ (* -3 x.im) (/ (* x.re x.re) x.im)) (/ x.re (* x.im x.im)) (+ (* (/ (/ x.re x.im) x.im) x.re) -3))

simplify161.0ms (2.7%)

Memory

-10.7MiB live, 220.3MiB allocated; 30ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	101	521
1	311	489
2	1107	473
3	6188	473
0	8046	447

Stop Event

1×	iter limit
1×	node limit

Counts

47 → 47

Calls

Call 1

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

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

rewrite174.0ms (2.9%)

Memory

-1.3MiB live, 241.7MiB allocated; 51ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	359
0	60	350
1	230	321
2	1484	321
0	8655	313

Stop Event

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

Counts

20 → 267

Calls

Call 1

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

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

eval36.0ms (0.6%)

Memory: -2.0MiB live, 98.5MiB allocated; 6ms collecting garbage
Compiler: Compiled 14 620 to 1 384 computations (90.5% saved)

prune22.0ms (0.4%)

Memory

1.1MiB live, 47.6MiB allocated; 3ms collecting garbage

Pruning

11 alts after pruning (0 fresh and 11 done)

	Pruned	Kept	Total
New	288	0	288
Fresh	0	0	0
Picked	0	4	4
Done	0	7	7
Total	288	11	299

Accuracy

100.0%

Counts

299 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	55.6%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64)))
✓	89.4%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (*.f64 x.re x.re)) x.re))
✓	60.2%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (.f64 #s(approx (+ ( (/ (/ x.re x.im) x.im) x.re) -3) #s(literal -3 binary64)) x.re) x.im) x.im))
✓	53.7%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (.f64 #s(approx (+ ( (/ (/ x.re x.im) x.im) x.re) -3) #s(literal -3 binary64)) x.im) x.im) x.re))
✓	67.8%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re (fma.f64 (/.f64 x.re (.f64 x.im x.im)) x.re #s(literal -3 binary64))) (.f64 x.im x.im)))
✓	53.7%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re #s(approx (+ (* (/ (/ x.re x.im) x.im) x.re) -3) #s(literal -3 binary64))) (*.f64 x.im x.im)))
✓	21.5%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re x.re) (neg.f64 x.re)))
✓	55.5%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re x.re) x.re))
✓	60.1%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.im x.re) (*.f64 #s(literal -3 binary64) x.im)))
✓	92.6%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx ( (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) (.f64 (fma.f64 #s(literal -3 binary64) x.im (/.f64 (.f64 x.re x.re) x.im)) x.re)) x.im))
✓	60.2%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.re) x.im)))

Compiler

Compiled 806 to 291 computations (63.9% saved)

regimes15.0ms (0.2%)

Memory

-18.5MiB live, 28.0MiB allocated; 3ms collecting garbage

Counts

15 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

5.0ms	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
4.0ms	x.im
4.0ms	x.re

Results

Accuracy	Segments	Branch
99.9%	3	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`
99.8%	3	`x.re`
99.9%	2	`x.im`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes5.0ms (0.1%)

Memory

8.3MiB live, 8.3MiB allocated; 0ms collecting garbage

Counts

14 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

4.0ms

x.im

Results

Accuracy	Segments	Branch
99.5%	2	`x.im`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes8.0ms (0.1%)

Memory

13.2MiB live, 13.2MiB allocated; 0ms collecting garbage

Counts

7 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

2.0ms	x.re
2.0ms	x.im
2.0ms	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))

Results

Accuracy	Segments	Branch
85.0%	2	`x.re`
96.1%	2	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`
85.4%	2	`x.im`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes2.0ms (0%)

Memory

4.4MiB live, 4.4MiB allocated; 0ms collecting garbage

Counts

6 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
96.1%	2	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`

Compiler

Compiled 19 to 11 computations (42.1% saved)

regimes4.0ms (0.1%)

Memory

8.2MiB live, 8.2MiB allocated; 0ms collecting garbage

Counts

2 → 2

Calls

Call 1

Inputs

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

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
55.5%	1	`x.re`
60.5%	2	`x.im`
57.8%	2	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes2.0ms (0%)

Memory

4.4MiB live, 4.4MiB 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.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re x.re) x.re))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
55.5%	1	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`
55.5%	1	`x.im`

Compiler

Compiled 20 to 13 computations (35% saved)

bsearch7.0ms (0.1%)

Memory

-41.9MiB live, 5.1MiB allocated; 2ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
6.0ms	1.5649275483895912e-8	1.8855510692542823e-8

Samples

2.0ms

32×

valid

Compiler

Compiled 148 to 94 computations (36.5% saved)

Precisions

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

ival-mult: 1.0ms (62.3% of total)

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

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

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

adjust: 0.0ms (0% of total)

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

bsearch13.0ms (0.2%)

Memory

16.1MiB live, 16.1MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	3.468983693722239e+152	2.4885629699834633e+153

Samples

7.0ms

96×

valid

Compiler

Compiled 424 to 262 computations (38.2% saved)

Precisions

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

ival-mult: 3.0ms (62% of total)

ival-sub: 1.0ms (20.7% of total)

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

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

adjust: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.073323e-316	-0.0

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.073323e-316	-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

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.468983693722239e+152	2.4885629699834633e+153

Compiler

Compiled 328 to 202 computations (38.4% saved)

simplify55.0ms (0.9%)

Memory

6.2MiB live, 56.0MiB allocated; 5ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	60	376
1	104	354
2	238	354
3	710	321
4	1908	310
5	5128	310

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 x.im #s(literal 5440166188265831/302231454903657293676544 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (.f64 x.re x.re)) x.re)) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64)) x.re) x.im) x.im)))
(if (<=.f64 x.im #s(literal 2450000000000000008650373031085494873927415337806627921126917877457376886433012765610836298784682956762235427255043978727722132090823201588568789702672384 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (.f64 x.re x.re)) x.re)) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (.f64 #s(approx (+ ( (/ (/ x.re x.im) x.im) x.re) -3) #s(literal -3 binary64)) x.re) x.im) x.im)))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal -20240225/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (.f64 #s(approx (+ ( (/ (/ x.re x.im) x.im) x.re) -3) #s(literal -3 binary64)) x.re) x.im) x.im)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re x.re) x.re)))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal -20240225/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(literal -3 binary64) (.f64 (.f64 x.im x.re) x.im))) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re x.re) x.re)))
(if (<=.f64 x.im #s(literal 2450000000000000008650373031085494873927415337806627921126917877457376886433012765610836298784682956762235427255043978727722132090823201588568789702672384 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re x.re) x.re)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re x.re) (neg.f64 x.re))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re x.re) x.re))

Outputs
(if (<=.f64 x.im #s(literal 5440166188265831/302231454903657293676544 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (.f64 x.re x.re)) x.re)) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64)) x.re) x.im) x.im)))
(if (<=.f64 x.im #s(literal 2450000000000000008650373031085494873927415337806627921126917877457376886433012765610836298784682956762235427255043978727722132090823201588568789702672384 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (.f64 x.re x.re)) x.re)) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (.f64 #s(approx (+ ( (/ (/ x.re x.im) x.im) x.re) -3) #s(literal -3 binary64)) x.re) x.im) x.im)))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal -20240225/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (.f64 #s(approx (+ ( (/ (/ x.re x.im) x.im) x.re) -3) #s(literal -3 binary64)) x.re) x.im) x.im)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re x.re) x.re)))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal -20240225/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(literal -3 binary64) (.f64 (.f64 x.im x.re) x.im))) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re x.re) x.re)))
(if (<=.f64 x.im #s(literal 2450000000000000008650373031085494873927415337806627921126917877457376886433012765610836298784682956762235427255043978727722132090823201588568789702672384 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re x.re) x.re)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re x.re) (neg.f64 x.re))))
(if (<=.f64 x.im #s(literal 2450000000000000008650373031085494873927415337806627921126917877457376886433012765610836298784682956762235427255043978727722132090823201588568789702672384 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re x.re) x.re)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (neg.f64 x.re) x.re) x.re)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re x.re) x.re))

derivations678.0ms (11.4%)

Memory

-12.0MiB live, 652.4MiB allocated; 136ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	237
1	172	217
2	610	208
3	3532	208
0	8354	202
0	84	452
1	248	416
2	849	400
3	5178	400
0	8432	383
0	39	256
0	54	246
1	186	218
2	1185	218
0	8769	208
0	38	254
0	58	254
1	205	226
2	1345	222
0	8198	217

Stop Event

1×	done
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×	node limit

Compiler

Compiled 376 to 62 computations (83.5% saved)

preprocess88.0ms (1.5%)

Memory: 31.6MiB live, 129.0MiB allocated; 7ms collecting garbage
Remove: (negabs x.re)
Compiler: Compiled 1 226 to 336 computations (72.6% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.2s (20.4%)

explain156.0ms (2.6%)

preprocess202.0ms (3.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify174.0ms (2.9%)

localize71.0ms (1.2%)

series24.0ms (0.4%)

simplify213.0ms (3.6%)

rewrite73.0ms (1.2%)

eval13.0ms (0.2%)

prune41.0ms (0.7%)

simplify248.0ms (4.2%)

localize131.0ms (2.2%)

series21.0ms (0.3%)

simplify246.0ms (4.1%)

rewrite309.0ms (5.2%)

eval101.0ms (1.7%)

prune50.0ms (0.8%)

simplify183.0ms (3.1%)

localize130.0ms (2.2%)

series32.0ms (0.5%)

simplify164.0ms (2.8%)

rewrite147.0ms (2.5%)

eval84.0ms (1.4%)

prune43.0ms (0.7%)

simplify341.0ms (5.8%)

localize226.0ms (3.8%)

series22.0ms (0.4%)

simplify161.0ms (2.7%)

rewrite174.0ms (2.9%)

eval36.0ms (0.6%)

prune22.0ms (0.4%)

regimes15.0ms (0.2%)

regimes5.0ms (0.1%)

regimes8.0ms (0.1%)

regimes2.0ms (0%)

regimes4.0ms (0.1%)

regimes2.0ms (0%)

bsearch7.0ms (0.1%)

bsearch13.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

simplify55.0ms (0.9%)

derivations678.0ms (11.4%)

preprocess88.0ms (1.5%)

end0.0ms (0%)

Profiling