Metrics for _multiplyComplex, real part

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze9.0ms (0.3%)

Memory

-38.2MiB live, 0.6MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
100%	99.8%	0%	0.2%	0%	0%	0%	1

Compiler

Compiled 9 to 9 computations (0% saved)

sample701.0ms (24.1%)

Memory

56.5MiB live, 913.5MiB allocated

Samples

423.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 216.0ms

ival-mult: 151.0ms (69.9% of total)

ival-sub: 56.0ms (25.9% of total)

ival-true: 6.0ms (2.8% of total)

ival-assert: 3.0ms (1.4% of total)

Bogosity

explain71.0ms (2.5%)

Memory

13.0MiB live, 124.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
1	-	-	`(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))`
0	-	-	`x.re`
0	-	-	`y.re`
0	-	-	`(*.f64 x.re y.re)`
0	-	-	`(*.f64 x.im y.im)`
0	-	-	`y.im`
0	-	-	`x.im`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))`	nan-rescue	1	0
↳	`(*.f64 x.re y.re)`	overflow	30
↳	`(*.f64 x.im y.im)`	overflow	28

Confusion

	Predicted +	Predicted -
+	1	0
-	0	255

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	255

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

25.0ms

512×

valid

Compiler

Compiled 45 to 25 computations (44.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 7.0ms (71.4% of total)

ival-sub: 2.0ms (20.4% of total)

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

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

preprocess42.0ms (1.4%)

Memory

-6.4MiB live, 31.2MiB allocated

Algorithm

1×	egg-herbie

Rules

208×	`lower-fma.f64`
208×	`lower-fma.f32`
144×	`lower-*.f32`
140×	`lower-*.f64`
124×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	102
1	103	102
2	183	102
3	383	102
4	613	102
5	695	102
6	707	102
0	7	7
0	10	7
1	17	7
2	29	7
3	41	7
4	62	7
5	92	7
6	150	7
7	217	7
8	277	7
9	306	7
10	322	7
0	322	7

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

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

Outputs
(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))
(fma.f64 (neg.f64 y.im) x.im (*.f64 y.re x.re))

Symmetry

(sort x.re y.re)

(sort x.im y.im)

Compiler

Compiled 7 to 7 computations (0% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))

Compiler

Compiled 7 to 7 computations (0% saved)

simplify11.0ms (0.4%)

Memory

8.7MiB live, 8.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 x.im y.im)
cost-diff	0	(*.f64 x.re y.re)
cost-diff	0	(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))

Rules

208×	`lower-fma.f64`
208×	`lower-fma.f32`
144×	`lower-*.f32`
140×	`lower-*.f64`
64×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
0	10	17
1	17	17
2	29	17
3	41	17
4	62	17
5	92	17
6	150	17
7	217	17
8	277	17
9	306	17
10	322	17
0	322	17

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

Outputs
(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))
(fma.f64 (neg.f64 y.im) x.im (*.f64 y.re x.re))
(*.f64 x.re y.re)
(*.f64 y.re x.re)
x.re
y.re
(*.f64 x.im y.im)
(*.f64 y.im x.im)
x.im
y.im

localize43.0ms (1.5%)

Memory

-13.1MiB live, 38.4MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x.re y.re)
accuracy	0	(*.f64 x.im y.im)
accuracy	0.2539041858302058	(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))

Samples

39.0ms

256×

valid

Compiler

Compiled 19 to 9 computations (52.6% saved)

Precisions

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

ival-sub: 25.0ms (86.8% of total)

ival-mult: 4.0ms (13.9% of total)

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

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

series11.0ms (0.4%)

Memory

-21.0MiB live, 15.3MiB allocated

Counts

3 → 96

Calls

Call 1

Inputs
#s(alt (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())
#s(alt (.f64 x.re y.re) (patch (.f64 x.re y.re) #<representation binary64>) () ())
#s(alt (.f64 x.im y.im) (patch (.f64 x.im y.im) #<representation binary64>) () ())

Inputs

#s(alt (-.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (patch (-.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) #<representation binary64>) () ())

#s(alt (*.f64 x.re y.re) (patch (*.f64 x.re y.re) #<representation binary64>) () ())

#s(alt (*.f64 x.im y.im) (patch (*.f64 x.im y.im) #<representation binary64>) () ())

Outputs
#s(alt (* x.re y.re) (taylor 0 y.im) (#s(alt (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x.im y.im)) (* x.re y.re)) (taylor 0 y.im) (#s(alt (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x.im y.im)) (* x.re y.re)) (taylor 0 y.im) (#s(alt (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x.im y.im)) (* x.re y.re)) (taylor 0 y.im) (#s(alt (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())) ())
#s(alt (* x.im y.im) (taylor 0 y.im) (#s(alt (.f64 x.im y.im) (patch (.f64 x.im y.im) #<representation binary64>) () ())) ())
#s(alt (* x.im y.im) (taylor 0 y.im) (#s(alt (.f64 x.im y.im) (patch (.f64 x.im y.im) #<representation binary64>) () ())) ())
#s(alt (* x.im y.im) (taylor 0 y.im) (#s(alt (.f64 x.im y.im) (patch (.f64 x.im y.im) #<representation binary64>) () ())) ())
#s(alt (* x.im y.im) (taylor 0 y.im) (#s(alt (.f64 x.im y.im) (patch (.f64 x.im y.im) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.im y.im)) (taylor inf y.im) (#s(alt (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())) ())
#s(alt (* y.im (- (/ (* x.re y.re) y.im) x.im)) (taylor inf y.im) (#s(alt (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())) ())
#s(alt (* y.im (- (/ (* x.re y.re) y.im) x.im)) (taylor inf y.im) (#s(alt (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())) ())
#s(alt (* y.im (- (/ (* x.re y.re) y.im) x.im)) (taylor inf y.im) (#s(alt (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())) ())
#s(alt (* x.im y.im) (taylor inf y.im) (#s(alt (.f64 x.im y.im) (patch (.f64 x.im y.im) #<representation binary64>) () ())) ())
#s(alt (* x.im y.im) (taylor inf y.im) (#s(alt (.f64 x.im y.im) (patch (.f64 x.im y.im) #<representation binary64>) () ())) ())
#s(alt (* x.im y.im) (taylor inf y.im) (#s(alt (.f64 x.im y.im) (patch (.f64 x.im y.im) #<representation binary64>) () ())) ())
#s(alt (* x.im y.im) (taylor inf y.im) (#s(alt (.f64 x.im y.im) (patch (.f64 x.im y.im) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.im y.im)) (taylor -inf y.im) (#s(alt (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y.im (- (* -1 (/ (* x.re y.re) y.im)) (* -1 x.im)))) (taylor -inf y.im) (#s(alt (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y.im (- (* -1 (/ (* x.re y.re) y.im)) (* -1 x.im)))) (taylor -inf y.im) (#s(alt (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y.im (- (* -1 (/ (* x.re y.re) y.im)) (* -1 x.im)))) (taylor -inf y.im) (#s(alt (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())) ())
#s(alt (* x.im y.im) (taylor -inf y.im) (#s(alt (.f64 x.im y.im) (patch (.f64 x.im y.im) #<representation binary64>) () ())) ())
#s(alt (* x.im y.im) (taylor -inf y.im) (#s(alt (.f64 x.im y.im) (patch (.f64 x.im y.im) #<representation binary64>) () ())) ())
#s(alt (* x.im y.im) (taylor -inf y.im) (#s(alt (.f64 x.im y.im) (patch (.f64 x.im y.im) #<representation binary64>) () ())) ())
#s(alt (* x.im y.im) (taylor -inf y.im) (#s(alt (.f64 x.im y.im) (patch (.f64 x.im y.im) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.im y.im)) (taylor 0 y.re) (#s(alt (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())) ())
#s(alt (- (* x.re y.re) (* x.im y.im)) (taylor 0 y.re) (#s(alt (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())) ())
#s(alt (- (* x.re y.re) (* x.im y.im)) (taylor 0 y.re) (#s(alt (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())) ())
#s(alt (- (* x.re y.re) (* x.im y.im)) (taylor 0 y.re) (#s(alt (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())) ())
#s(alt (* x.re y.re) (taylor 0 y.re) (#s(alt (.f64 x.re y.re) (patch (.f64 x.re y.re) #<representation binary64>) () ())) ())
#s(alt (* x.re y.re) (taylor 0 y.re) (#s(alt (.f64 x.re y.re) (patch (.f64 x.re y.re) #<representation binary64>) () ())) ())
#s(alt (* x.re y.re) (taylor 0 y.re) (#s(alt (.f64 x.re y.re) (patch (.f64 x.re y.re) #<representation binary64>) () ())) ())
#s(alt (* x.re y.re) (taylor 0 y.re) (#s(alt (.f64 x.re y.re) (patch (.f64 x.re y.re) #<representation binary64>) () ())) ())
#s(alt (* x.re y.re) (taylor inf y.re) (#s(alt (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())) ())
#s(alt (* y.re (+ x.re (* -1 (/ (* x.im y.im) y.re)))) (taylor inf y.re) (#s(alt (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())) ())
#s(alt (* y.re (+ x.re (* -1 (/ (* x.im y.im) y.re)))) (taylor inf y.re) (#s(alt (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())) ())
#s(alt (* y.re (+ x.re (* -1 (/ (* x.im y.im) y.re)))) (taylor inf y.re) (#s(alt (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())) ())
#s(alt (* x.re y.re) (taylor inf y.re) (#s(alt (.f64 x.re y.re) (patch (.f64 x.re y.re) #<representation binary64>) () ())) ())
#s(alt (* x.re y.re) (taylor inf y.re) (#s(alt (.f64 x.re y.re) (patch (.f64 x.re y.re) #<representation binary64>) () ())) ())
#s(alt (* x.re y.re) (taylor inf y.re) (#s(alt (.f64 x.re y.re) (patch (.f64 x.re y.re) #<representation binary64>) () ())) ())
#s(alt (* x.re y.re) (taylor inf y.re) (#s(alt (.f64 x.re y.re) (patch (.f64 x.re y.re) #<representation binary64>) () ())) ())
#s(alt (* x.re y.re) (taylor -inf y.re) (#s(alt (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y.re (+ (* -1 x.re) (/ (* x.im y.im) y.re)))) (taylor -inf y.re) (#s(alt (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y.re (+ (* -1 x.re) (/ (* x.im y.im) y.re)))) (taylor -inf y.re) (#s(alt (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y.re (+ (* -1 x.re) (/ (* x.im y.im) y.re)))) (taylor -inf y.re) (#s(alt (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())) ())
#s(alt (* x.re y.re) (taylor -inf y.re) (#s(alt (.f64 x.re y.re) (patch (.f64 x.re y.re) #<representation binary64>) () ())) ())
#s(alt (* x.re y.re) (taylor -inf y.re) (#s(alt (.f64 x.re y.re) (patch (.f64 x.re y.re) #<representation binary64>) () ())) ())
#s(alt (* x.re y.re) (taylor -inf y.re) (#s(alt (.f64 x.re y.re) (patch (.f64 x.re y.re) #<representation binary64>) () ())) ())
#s(alt (* x.re y.re) (taylor -inf y.re) (#s(alt (.f64 x.re y.re) (patch (.f64 x.re y.re) #<representation binary64>) () ())) ())
#s(alt (* x.re y.re) (taylor 0 x.im) (#s(alt (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x.im y.im)) (* x.re y.re)) (taylor 0 x.im) (#s(alt (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x.im y.im)) (* x.re y.re)) (taylor 0 x.im) (#s(alt (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x.im y.im)) (* x.re y.re)) (taylor 0 x.im) (#s(alt (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())) ())
#s(alt (* x.im y.im) (taylor 0 x.im) (#s(alt (.f64 x.im y.im) (patch (.f64 x.im y.im) #<representation binary64>) () ())) ())
#s(alt (* x.im y.im) (taylor 0 x.im) (#s(alt (.f64 x.im y.im) (patch (.f64 x.im y.im) #<representation binary64>) () ())) ())
#s(alt (* x.im y.im) (taylor 0 x.im) (#s(alt (.f64 x.im y.im) (patch (.f64 x.im y.im) #<representation binary64>) () ())) ())
#s(alt (* x.im y.im) (taylor 0 x.im) (#s(alt (.f64 x.im y.im) (patch (.f64 x.im y.im) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.im y.im)) (taylor inf x.im) (#s(alt (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())) ())
#s(alt (* x.im (- (/ (* x.re y.re) x.im) y.im)) (taylor inf x.im) (#s(alt (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())) ())
#s(alt (* x.im (- (/ (* x.re y.re) x.im) y.im)) (taylor inf x.im) (#s(alt (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())) ())
#s(alt (* x.im (- (/ (* x.re y.re) x.im) y.im)) (taylor inf x.im) (#s(alt (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())) ())
#s(alt (* x.im y.im) (taylor inf x.im) (#s(alt (.f64 x.im y.im) (patch (.f64 x.im y.im) #<representation binary64>) () ())) ())
#s(alt (* x.im y.im) (taylor inf x.im) (#s(alt (.f64 x.im y.im) (patch (.f64 x.im y.im) #<representation binary64>) () ())) ())
#s(alt (* x.im y.im) (taylor inf x.im) (#s(alt (.f64 x.im y.im) (patch (.f64 x.im y.im) #<representation binary64>) () ())) ())
#s(alt (* x.im y.im) (taylor inf x.im) (#s(alt (.f64 x.im y.im) (patch (.f64 x.im y.im) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.im y.im)) (taylor -inf x.im) (#s(alt (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.im (- (* -1 (/ (* x.re y.re) x.im)) (* -1 y.im)))) (taylor -inf x.im) (#s(alt (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.im (- (* -1 (/ (* x.re y.re) x.im)) (* -1 y.im)))) (taylor -inf x.im) (#s(alt (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.im (- (* -1 (/ (* x.re y.re) x.im)) (* -1 y.im)))) (taylor -inf x.im) (#s(alt (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())) ())
#s(alt (* x.im y.im) (taylor -inf x.im) (#s(alt (.f64 x.im y.im) (patch (.f64 x.im y.im) #<representation binary64>) () ())) ())
#s(alt (* x.im y.im) (taylor -inf x.im) (#s(alt (.f64 x.im y.im) (patch (.f64 x.im y.im) #<representation binary64>) () ())) ())
#s(alt (* x.im y.im) (taylor -inf x.im) (#s(alt (.f64 x.im y.im) (patch (.f64 x.im y.im) #<representation binary64>) () ())) ())
#s(alt (* x.im y.im) (taylor -inf x.im) (#s(alt (.f64 x.im y.im) (patch (.f64 x.im y.im) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.im y.im)) (taylor 0 x.re) (#s(alt (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())) ())
#s(alt (- (* x.re y.re) (* x.im y.im)) (taylor 0 x.re) (#s(alt (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())) ())
#s(alt (- (* x.re y.re) (* x.im y.im)) (taylor 0 x.re) (#s(alt (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())) ())
#s(alt (- (* x.re y.re) (* x.im y.im)) (taylor 0 x.re) (#s(alt (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())) ())
#s(alt (* x.re y.re) (taylor 0 x.re) (#s(alt (.f64 x.re y.re) (patch (.f64 x.re y.re) #<representation binary64>) () ())) ())
#s(alt (* x.re y.re) (taylor 0 x.re) (#s(alt (.f64 x.re y.re) (patch (.f64 x.re y.re) #<representation binary64>) () ())) ())
#s(alt (* x.re y.re) (taylor 0 x.re) (#s(alt (.f64 x.re y.re) (patch (.f64 x.re y.re) #<representation binary64>) () ())) ())
#s(alt (* x.re y.re) (taylor 0 x.re) (#s(alt (.f64 x.re y.re) (patch (.f64 x.re y.re) #<representation binary64>) () ())) ())
#s(alt (* x.re y.re) (taylor inf x.re) (#s(alt (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())) ())
#s(alt (* x.re (+ y.re (* -1 (/ (* x.im y.im) x.re)))) (taylor inf x.re) (#s(alt (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())) ())
#s(alt (* x.re (+ y.re (* -1 (/ (* x.im y.im) x.re)))) (taylor inf x.re) (#s(alt (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())) ())
#s(alt (* x.re (+ y.re (* -1 (/ (* x.im y.im) x.re)))) (taylor inf x.re) (#s(alt (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())) ())
#s(alt (* x.re y.re) (taylor inf x.re) (#s(alt (.f64 x.re y.re) (patch (.f64 x.re y.re) #<representation binary64>) () ())) ())
#s(alt (* x.re y.re) (taylor inf x.re) (#s(alt (.f64 x.re y.re) (patch (.f64 x.re y.re) #<representation binary64>) () ())) ())
#s(alt (* x.re y.re) (taylor inf x.re) (#s(alt (.f64 x.re y.re) (patch (.f64 x.re y.re) #<representation binary64>) () ())) ())
#s(alt (* x.re y.re) (taylor inf x.re) (#s(alt (.f64 x.re y.re) (patch (.f64 x.re y.re) #<representation binary64>) () ())) ())
#s(alt (* x.re y.re) (taylor -inf x.re) (#s(alt (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.re (+ (* -1 y.re) (/ (* x.im y.im) x.re)))) (taylor -inf x.re) (#s(alt (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.re (+ (* -1 y.re) (/ (* x.im y.im) x.re)))) (taylor -inf x.re) (#s(alt (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.re (+ (* -1 y.re) (/ (* x.im y.im) x.re)))) (taylor -inf x.re) (#s(alt (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (patch (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) #<representation binary64>) () ())) ())
#s(alt (* x.re y.re) (taylor -inf x.re) (#s(alt (.f64 x.re y.re) (patch (.f64 x.re y.re) #<representation binary64>) () ())) ())
#s(alt (* x.re y.re) (taylor -inf x.re) (#s(alt (.f64 x.re y.re) (patch (.f64 x.re y.re) #<representation binary64>) () ())) ())
#s(alt (* x.re y.re) (taylor -inf x.re) (#s(alt (.f64 x.re y.re) (patch (.f64 x.re y.re) #<representation binary64>) () ())) ())
#s(alt (* x.re y.re) (taylor -inf x.re) (#s(alt (.f64 x.re y.re) (patch (.f64 x.re y.re) #<representation binary64>) () ())) ())

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	y.im	@	-inf	((- (* x.re y.re) (* x.im y.im)) (* x.re y.re) (* x.im y.im))
1.0ms	x.re	@	inf	((- (* x.re y.re) (* x.im y.im)) (* x.re y.re) (* x.im y.im))
1.0ms	y.re	@	inf	((- (* x.re y.re) (* x.im y.im)) (* x.re y.re) (* x.im y.im))
1.0ms	y.im	@	inf	((- (* x.re y.re) (* x.im y.im)) (* x.re y.re) (* x.im y.im))
1.0ms	y.re	@	-inf	((- (* x.re y.re) (* x.im y.im)) (* x.re y.re) (* x.im y.im))

simplify116.0ms (4%)

Memory

-12.9MiB live, 121.5MiB allocated

Algorithm

1×	egg-herbie

Rules

5 952×	`lower-fma.f64`
5 952×	`lower-fma.f32`
3 064×	`lower-*.f64`
3 064×	`lower-*.f32`
1 336×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	438
1	141	438
2	387	438
3	1314	438
4	3796	438
5	6101	438
6	7977	438
0	8187	438

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

Inputs
(* x.re y.re)
(+ (* -1 (* x.im y.im)) (* x.re y.re))
(+ (* -1 (* x.im y.im)) (* x.re y.re))
(+ (* -1 (* x.im y.im)) (* x.re y.re))
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* -1 (* x.im y.im))
(* y.im (- (/ (* x.re y.re) y.im) x.im))
(* y.im (- (/ (* x.re y.re) y.im) x.im))
(* y.im (- (/ (* x.re y.re) y.im) x.im))
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* -1 (* x.im y.im))
(* -1 (* y.im (- (* -1 (/ (* x.re y.re) y.im)) (* -1 x.im))))
(* -1 (* y.im (- (* -1 (/ (* x.re y.re) y.im)) (* -1 x.im))))
(* -1 (* y.im (- (* -1 (/ (* x.re y.re) y.im)) (* -1 x.im))))
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* -1 (* x.im y.im))
(- (* x.re y.re) (* x.im y.im))
(- (* x.re y.re) (* x.im y.im))
(- (* x.re y.re) (* x.im y.im))
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* y.re (+ x.re (* -1 (/ (* x.im y.im) y.re))))
(* y.re (+ x.re (* -1 (/ (* x.im y.im) y.re))))
(* y.re (+ x.re (* -1 (/ (* x.im y.im) y.re))))
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* -1 (* y.re (+ (* -1 x.re) (/ (* x.im y.im) y.re))))
(* -1 (* y.re (+ (* -1 x.re) (/ (* x.im y.im) y.re))))
(* -1 (* y.re (+ (* -1 x.re) (/ (* x.im y.im) y.re))))
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(+ (* -1 (* x.im y.im)) (* x.re y.re))
(+ (* -1 (* x.im y.im)) (* x.re y.re))
(+ (* -1 (* x.im y.im)) (* x.re y.re))
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* -1 (* x.im y.im))
(* x.im (- (/ (* x.re y.re) x.im) y.im))
(* x.im (- (/ (* x.re y.re) x.im) y.im))
(* x.im (- (/ (* x.re y.re) x.im) y.im))
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* -1 (* x.im y.im))
(* -1 (* x.im (- (* -1 (/ (* x.re y.re) x.im)) (* -1 y.im))))
(* -1 (* x.im (- (* -1 (/ (* x.re y.re) x.im)) (* -1 y.im))))
(* -1 (* x.im (- (* -1 (/ (* x.re y.re) x.im)) (* -1 y.im))))
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* -1 (* x.im y.im))
(- (* x.re y.re) (* x.im y.im))
(- (* x.re y.re) (* x.im y.im))
(- (* x.re y.re) (* x.im y.im))
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re (+ y.re (* -1 (/ (* x.im y.im) x.re))))
(* x.re (+ y.re (* -1 (/ (* x.im y.im) x.re))))
(* x.re (+ y.re (* -1 (/ (* x.im y.im) x.re))))
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* -1 (* x.re (+ (* -1 y.re) (/ (* x.im y.im) x.re))))
(* -1 (* x.re (+ (* -1 y.re) (/ (* x.im y.im) x.re))))
(* -1 (* x.re (+ (* -1 y.re) (/ (* x.im y.im) x.re))))
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)

Outputs
(* x.re y.re)
(*.f64 y.re x.re)
(+ (* -1 (* x.im y.im)) (* x.re y.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(+ (* -1 (* x.im y.im)) (* x.re y.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(+ (* -1 (* x.im y.im)) (* x.re y.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(* x.im y.im)
(*.f64 y.im x.im)
(* x.im y.im)
(*.f64 y.im x.im)
(* x.im y.im)
(*.f64 y.im x.im)
(* x.im y.im)
(*.f64 y.im x.im)
(* -1 (* x.im y.im))
(*.f64 (neg.f64 y.im) x.im)
(* y.im (- (/ (* x.re y.re) y.im) x.im))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(* y.im (- (/ (* x.re y.re) y.im) x.im))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(* y.im (- (/ (* x.re y.re) y.im) x.im))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(* x.im y.im)
(*.f64 y.im x.im)
(* x.im y.im)
(*.f64 y.im x.im)
(* x.im y.im)
(*.f64 y.im x.im)
(* x.im y.im)
(*.f64 y.im x.im)
(* -1 (* x.im y.im))
(*.f64 (neg.f64 y.im) x.im)
(* -1 (* y.im (- (* -1 (/ (* x.re y.re) y.im)) (* -1 x.im))))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(* -1 (* y.im (- (* -1 (/ (* x.re y.re) y.im)) (* -1 x.im))))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(* -1 (* y.im (- (* -1 (/ (* x.re y.re) y.im)) (* -1 x.im))))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(* x.im y.im)
(*.f64 y.im x.im)
(* x.im y.im)
(*.f64 y.im x.im)
(* x.im y.im)
(*.f64 y.im x.im)
(* x.im y.im)
(*.f64 y.im x.im)
(* -1 (* x.im y.im))
(*.f64 (neg.f64 y.im) x.im)
(- (* x.re y.re) (* x.im y.im))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(- (* x.re y.re) (* x.im y.im))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(- (* x.re y.re) (* x.im y.im))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(* x.re y.re)
(*.f64 y.re x.re)
(* x.re y.re)
(*.f64 y.re x.re)
(* x.re y.re)
(*.f64 y.re x.re)
(* x.re y.re)
(*.f64 y.re x.re)
(* x.re y.re)
(*.f64 y.re x.re)
(* y.re (+ x.re (* -1 (/ (* x.im y.im) y.re))))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(* y.re (+ x.re (* -1 (/ (* x.im y.im) y.re))))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(* y.re (+ x.re (* -1 (/ (* x.im y.im) y.re))))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(* x.re y.re)
(*.f64 y.re x.re)
(* x.re y.re)
(*.f64 y.re x.re)
(* x.re y.re)
(*.f64 y.re x.re)
(* x.re y.re)
(*.f64 y.re x.re)
(* x.re y.re)
(*.f64 y.re x.re)
(* -1 (* y.re (+ (* -1 x.re) (/ (* x.im y.im) y.re))))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(* -1 (* y.re (+ (* -1 x.re) (/ (* x.im y.im) y.re))))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(* -1 (* y.re (+ (* -1 x.re) (/ (* x.im y.im) y.re))))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(* x.re y.re)
(*.f64 y.re x.re)
(* x.re y.re)
(*.f64 y.re x.re)
(* x.re y.re)
(*.f64 y.re x.re)
(* x.re y.re)
(*.f64 y.re x.re)
(* x.re y.re)
(*.f64 y.re x.re)
(+ (* -1 (* x.im y.im)) (* x.re y.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(+ (* -1 (* x.im y.im)) (* x.re y.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(+ (* -1 (* x.im y.im)) (* x.re y.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(* x.im y.im)
(*.f64 y.im x.im)
(* x.im y.im)
(*.f64 y.im x.im)
(* x.im y.im)
(*.f64 y.im x.im)
(* x.im y.im)
(*.f64 y.im x.im)
(* -1 (* x.im y.im))
(*.f64 (neg.f64 y.im) x.im)
(* x.im (- (/ (* x.re y.re) x.im) y.im))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(* x.im (- (/ (* x.re y.re) x.im) y.im))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(* x.im (- (/ (* x.re y.re) x.im) y.im))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(* x.im y.im)
(*.f64 y.im x.im)
(* x.im y.im)
(*.f64 y.im x.im)
(* x.im y.im)
(*.f64 y.im x.im)
(* x.im y.im)
(*.f64 y.im x.im)
(* -1 (* x.im y.im))
(*.f64 (neg.f64 y.im) x.im)
(* -1 (* x.im (- (* -1 (/ (* x.re y.re) x.im)) (* -1 y.im))))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(* -1 (* x.im (- (* -1 (/ (* x.re y.re) x.im)) (* -1 y.im))))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(* -1 (* x.im (- (* -1 (/ (* x.re y.re) x.im)) (* -1 y.im))))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(* x.im y.im)
(*.f64 y.im x.im)
(* x.im y.im)
(*.f64 y.im x.im)
(* x.im y.im)
(*.f64 y.im x.im)
(* x.im y.im)
(*.f64 y.im x.im)
(* -1 (* x.im y.im))
(*.f64 (neg.f64 y.im) x.im)
(- (* x.re y.re) (* x.im y.im))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(- (* x.re y.re) (* x.im y.im))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(- (* x.re y.re) (* x.im y.im))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(* x.re y.re)
(*.f64 y.re x.re)
(* x.re y.re)
(*.f64 y.re x.re)
(* x.re y.re)
(*.f64 y.re x.re)
(* x.re y.re)
(*.f64 y.re x.re)
(* x.re y.re)
(*.f64 y.re x.re)
(* x.re (+ y.re (* -1 (/ (* x.im y.im) x.re))))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(* x.re (+ y.re (* -1 (/ (* x.im y.im) x.re))))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(* x.re (+ y.re (* -1 (/ (* x.im y.im) x.re))))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(* x.re y.re)
(*.f64 y.re x.re)
(* x.re y.re)
(*.f64 y.re x.re)
(* x.re y.re)
(*.f64 y.re x.re)
(* x.re y.re)
(*.f64 y.re x.re)
(* x.re y.re)
(*.f64 y.re x.re)
(* -1 (* x.re (+ (* -1 y.re) (/ (* x.im y.im) x.re))))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(* -1 (* x.re (+ (* -1 y.re) (/ (* x.im y.im) x.re))))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(* -1 (* x.re (+ (* -1 y.re) (/ (* x.im y.im) x.re))))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(* x.re y.re)
(*.f64 y.re x.re)
(* x.re y.re)
(*.f64 y.re x.re)
(* x.re y.re)
(*.f64 y.re x.re)
(* x.re y.re)
(*.f64 y.re x.re)

rewrite227.0ms (7.8%)

Memory

30.8MiB live, 222.5MiB allocated

Rules

10 966×	`lower-fma.f64`
10 966×	`lower-fma.f32`
4 326×	`lower-*.f32`
4 322×	`lower-*.f64`
3 818×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
0	10	13
1	30	13
2	207	13
3	1953	13
0	8325	13

Stop Event

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

Counts

3 → 230

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 y.im x.im (.f64 y.re x.re)) (.f64 y.im x.im) (pow.f64 (.f64 y.re x.re) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 y.re x.re) #s(literal 6 binary64)) (pow.f64 (.f64 y.im x.im) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (.f64 y.re x.re) #s(literal 3 binary64)) (pow.f64 (.f64 y.im x.im) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 y.im x.im (.f64 y.re x.re)) (.f64 y.im x.im) (pow.f64 (.f64 y.re x.re) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 y.re x.re) #s(literal 9 binary64)) (pow.f64 (.f64 y.im x.im) #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (-.f64 (pow.f64 (.f64 y.re x.re) #s(literal 6 binary64)) (pow.f64 (.f64 y.im x.im) #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 (*.f64 y.im x.im) x.re) y.re) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 y.im x.im (.f64 y.re x.re)) (-.f64 (pow.f64 (.f64 y.re x.re) #s(literal 4 binary64)) (pow.f64 (.f64 y.im x.im) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 (.f64 y.im x.im) #s(literal 2 binary64)) (pow.f64 (.f64 y.re x.re) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 y.im x.im (.f64 y.re x.re)) (-.f64 (pow.f64 (.f64 y.re x.re) #s(literal 6 binary64)) (pow.f64 (.f64 y.im x.im) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (.f64 y.re x.re) #s(literal 4 binary64)) (pow.f64 (.f64 y.im x.im) #s(literal 4 binary64))) (pow.f64 (.f64 (.f64 (*.f64 y.im x.im) x.re) y.re) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 y.re x.re) #s(literal 3 binary64)) (pow.f64 (.f64 y.im x.im) #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 y.re x.re) #s(literal 4 binary64)) (pow.f64 (.f64 (fma.f64 y.im x.im (.f64 y.re x.re)) (.f64 y.im x.im)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (.f64 y.re x.re) #s(literal 2 binary64)) (.f64 (fma.f64 y.im x.im (.f64 y.re x.re)) (*.f64 y.im x.im))))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 y.re x.re) #s(literal 3 binary64)) (pow.f64 (.f64 y.im x.im) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (fma.f64 y.im x.im (.f64 y.re x.re)) (.f64 y.im x.im)) #s(literal 3 binary64)) (pow.f64 (.f64 y.re x.re) #s(literal 6 binary64)))) (fma.f64 (.f64 (fma.f64 y.im x.im (.f64 y.re x.re)) (.f64 y.im x.im)) (-.f64 (.f64 (fma.f64 y.im x.im (.f64 y.re x.re)) (.f64 y.im x.im)) (pow.f64 (.f64 y.re x.re) #s(literal 2 binary64))) (pow.f64 (*.f64 y.re x.re) #s(literal 4 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 y.re x.re) #s(literal 2 binary64)) (pow.f64 (.f64 y.im x.im) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 y.re x.re) #s(literal 2 binary64)) (pow.f64 (.f64 y.im x.im) #s(literal 2 binary64)))) (fma.f64 (neg.f64 y.im) x.im (.f64 y.re x.re)))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 y.re x.re) #s(literal 2 binary64)) (pow.f64 (.f64 y.im x.im) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 y.re x.re) #s(literal 3 binary64)) (pow.f64 (.f64 y.im x.im) #s(literal 3 binary64)))) (fma.f64 (.f64 y.im x.im) (-.f64 (.f64 y.im x.im) (.f64 y.re x.re)) (pow.f64 (*.f64 y.re x.re) #s(literal 2 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 y.re x.re) #s(literal 4 binary64)) (pow.f64 (.f64 y.im x.im) #s(literal 4 binary64))) (fma.f64 y.im x.im (.f64 y.re x.re))) (pow.f64 (+.f64 (pow.f64 (.f64 y.im x.im) #s(literal 2 binary64)) (pow.f64 (.f64 y.re x.re) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 y.re x.re) #s(literal 6 binary64)) (pow.f64 (.f64 y.im x.im) #s(literal 6 binary64))) (fma.f64 y.im x.im (.f64 y.re x.re))) (pow.f64 (+.f64 (+.f64 (pow.f64 (.f64 y.re x.re) #s(literal 4 binary64)) (pow.f64 (.f64 y.im x.im) #s(literal 4 binary64))) (pow.f64 (.f64 (.f64 (*.f64 y.im x.im) x.re) y.re) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 y.re x.re) #s(literal 6 binary64)) (pow.f64 (.f64 y.im x.im) #s(literal 6 binary64))) (fma.f64 (fma.f64 y.im x.im (.f64 y.re x.re)) (.f64 y.im x.im) (pow.f64 (.f64 y.re x.re) #s(literal 2 binary64)))) (pow.f64 (-.f64 (pow.f64 (.f64 y.re x.re) #s(literal 3 binary64)) (pow.f64 (.f64 y.im x.im) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 y.re x.re) #s(literal 9 binary64)) (pow.f64 (.f64 y.im x.im) #s(literal 9 binary64))) (fma.f64 (fma.f64 y.im x.im (.f64 y.re x.re)) (.f64 y.im x.im) (pow.f64 (.f64 y.re x.re) #s(literal 2 binary64)))) (pow.f64 (+.f64 (-.f64 (pow.f64 (.f64 y.re x.re) #s(literal 6 binary64)) (pow.f64 (.f64 y.im x.im) #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 (*.f64 y.im x.im) x.re) y.re) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y.re x.re) #s(literal 2 binary64)) (fma.f64 y.im x.im (.f64 y.re x.re))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 y.im x.im) #s(literal 2 binary64)) (fma.f64 y.im x.im (.f64 y.re x.re))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 (.f64 y.re x.re) #s(literal 2 binary64)) (fma.f64 y.im x.im (.f64 y.re x.re))) (/.f64 (pow.f64 (.f64 y.im x.im) #s(literal 2 binary64)) (fma.f64 y.im x.im (*.f64 y.re x.re))))))
(.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y.re x.re) #s(literal 3 binary64)) (fma.f64 (fma.f64 y.im x.im (.f64 y.re x.re)) (.f64 y.im x.im) (pow.f64 (.f64 y.re x.re) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 y.im x.im) #s(literal 3 binary64)) (fma.f64 (fma.f64 y.im x.im (.f64 y.re x.re)) (.f64 y.im x.im) (pow.f64 (.f64 y.re x.re) #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 (.f64 y.re x.re) #s(literal 3 binary64)) (fma.f64 (fma.f64 y.im x.im (.f64 y.re x.re)) (.f64 y.im x.im) (pow.f64 (.f64 y.re x.re) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 y.im x.im) #s(literal 3 binary64)) (fma.f64 (fma.f64 y.im x.im (.f64 y.re x.re)) (.f64 y.im x.im) (pow.f64 (*.f64 y.re x.re) #s(literal 2 binary64)))))))
(.f64 (-.f64 (pow.f64 (.f64 y.im x.im) #s(literal 2 binary64)) (pow.f64 (.f64 y.re x.re) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (neg.f64 y.im) x.im) (*.f64 y.re x.re))))
(.f64 (-.f64 (/.f64 (pow.f64 (.f64 y.re x.re) #s(literal 6 binary64)) (pow.f64 (fma.f64 y.im x.im (.f64 y.re x.re)) #s(literal 3 binary64))) (/.f64 (pow.f64 (.f64 y.im x.im) #s(literal 6 binary64)) (pow.f64 (fma.f64 y.im x.im (.f64 y.re x.re)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y.re x.re) #s(literal 2 binary64)) (fma.f64 y.im x.im (.f64 y.re x.re))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y.im x.im) #s(literal 2 binary64)) (fma.f64 y.im x.im (.f64 y.re x.re))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (.f64 y.re x.re) #s(literal 2 binary64)) (fma.f64 y.im x.im (.f64 y.re x.re))) (/.f64 (pow.f64 (.f64 y.im x.im) #s(literal 2 binary64)) (fma.f64 y.im x.im (.f64 y.re x.re))))))))
(.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y.re x.re) #s(literal 3 binary64)) (fma.f64 (fma.f64 y.im x.im (.f64 y.re x.re)) (.f64 y.im x.im) (pow.f64 (.f64 y.re x.re) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 y.im x.im) #s(literal 3 binary64)) (fma.f64 (fma.f64 y.im x.im (.f64 y.re x.re)) (.f64 y.im x.im) (pow.f64 (.f64 y.re x.re) #s(literal 2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y.re x.re) #s(literal 3 binary64)) (fma.f64 (fma.f64 y.im x.im (.f64 y.re x.re)) (.f64 y.im x.im) (pow.f64 (.f64 y.re x.re) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y.im x.im) #s(literal 3 binary64)) (fma.f64 (fma.f64 y.im x.im (.f64 y.re x.re)) (.f64 y.im x.im) (pow.f64 (.f64 y.re x.re) #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (.f64 y.re x.re) #s(literal 3 binary64)) (fma.f64 (fma.f64 y.im x.im (.f64 y.re x.re)) (.f64 y.im x.im) (pow.f64 (.f64 y.re x.re) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 y.im x.im) #s(literal 3 binary64)) (fma.f64 (fma.f64 y.im x.im (.f64 y.re x.re)) (.f64 y.im x.im) (pow.f64 (.f64 y.re x.re) #s(literal 2 binary64)))))))))
(.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y.re x.re) #s(literal 2 binary64)) (pow.f64 (.f64 y.im x.im) #s(literal 2 binary64))))) (pow.f64 (fma.f64 y.im x.im (.f64 y.re x.re)) #s(literal -1 binary64)))
(.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y.re x.re) #s(literal 3 binary64)) (pow.f64 (.f64 y.im x.im) #s(literal 3 binary64))))) (pow.f64 (fma.f64 (fma.f64 y.im x.im (.f64 y.re x.re)) (.f64 y.im x.im) (pow.f64 (.f64 y.re x.re) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 (pow.f64 (.f64 y.re x.re) #s(literal 4 binary64)) (pow.f64 (.f64 y.im x.im) #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (pow.f64 (.f64 y.im x.im) #s(literal 2 binary64)) (pow.f64 (.f64 y.re x.re) #s(literal 2 binary64))) (fma.f64 y.im x.im (.f64 y.re x.re)))))
(.f64 (.f64 (-.f64 (pow.f64 (.f64 y.re x.re) #s(literal 6 binary64)) (pow.f64 (.f64 y.im x.im) #s(literal 6 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (+.f64 (pow.f64 (.f64 y.re x.re) #s(literal 4 binary64)) (pow.f64 (.f64 y.im x.im) #s(literal 4 binary64))) (pow.f64 (.f64 (.f64 (.f64 y.im x.im) x.re) y.re) #s(literal 2 binary64))) (fma.f64 y.im x.im (*.f64 y.re x.re)))))
(.f64 (.f64 (-.f64 (pow.f64 (.f64 y.re x.re) #s(literal 6 binary64)) (pow.f64 (.f64 y.im x.im) #s(literal 6 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (.f64 y.re x.re) #s(literal 3 binary64)) (pow.f64 (.f64 y.im x.im) #s(literal 3 binary64))) (fma.f64 (fma.f64 y.im x.im (.f64 y.re x.re)) (.f64 y.im x.im) (pow.f64 (.f64 y.re x.re) #s(literal 2 binary64))))))
(.f64 (.f64 (-.f64 (pow.f64 (.f64 y.re x.re) #s(literal 9 binary64)) (pow.f64 (.f64 y.im x.im) #s(literal 9 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (-.f64 (pow.f64 (.f64 y.re x.re) #s(literal 6 binary64)) (pow.f64 (.f64 y.im x.im) #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 (.f64 y.im x.im) x.re) y.re) #s(literal 3 binary64))) (fma.f64 (fma.f64 y.im x.im (.f64 y.re x.re)) (.f64 y.im x.im) (pow.f64 (*.f64 y.re x.re) #s(literal 2 binary64))))))
(.f64 (.f64 (-.f64 (pow.f64 (.f64 y.re x.re) #s(literal 3 binary64)) (pow.f64 (.f64 y.im x.im) #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (fma.f64 y.im x.im (.f64 y.re x.re)) (.f64 y.im x.im) (pow.f64 (*.f64 y.re x.re) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (-.f64 (.f64 (pow.f64 (.f64 y.re x.re) #s(literal 2 binary64)) (fma.f64 y.im x.im (.f64 y.re x.re))) (.f64 (fma.f64 y.im x.im (.f64 y.re x.re)) (pow.f64 (.f64 y.im x.im) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y.im x.im (.f64 y.re x.re)) #s(literal 2 binary64))))
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(.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y.im) x.im (.f64 y.re x.re)))
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(pow.f64 (pow.f64 (fma.f64 (neg.f64 y.im) x.im (*.f64 y.re x.re)) #s(literal -1 binary64)) #s(literal -1 binary64))
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(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 y.re x.re) #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 y.re x.re) #s(literal 4 binary64)) (pow.f64 (.f64 y.im x.im) #s(literal 4 binary64))) (pow.f64 (.f64 (.f64 (.f64 y.im x.im) x.re) y.re) #s(literal 2 binary64)))) (fma.f64 y.im x.im (.f64 y.re x.re))) (/.f64 (/.f64 (pow.f64 (.f64 y.im x.im) #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 y.re x.re) #s(literal 4 binary64)) (pow.f64 (.f64 y.im x.im) #s(literal 4 binary64))) (pow.f64 (.f64 (.f64 (.f64 y.im x.im) x.re) y.re) #s(literal 2 binary64)))) (fma.f64 y.im x.im (.f64 y.re x.re))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 y.re x.re) #s(literal 6 binary64)) (-.f64 (pow.f64 (.f64 y.re x.re) #s(literal 3 binary64)) (pow.f64 (.f64 y.im x.im) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 y.im x.im) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 y.re x.re) #s(literal 2 binary64)) (.f64 (.f64 y.im (.f64 y.re x.re)) (neg.f64 x.im))))) (/.f64 (/.f64 (pow.f64 (.f64 y.im x.im) #s(literal 6 binary64)) (-.f64 (pow.f64 (.f64 y.re x.re) #s(literal 3 binary64)) (pow.f64 (.f64 y.im x.im) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 y.im x.im) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 y.re x.re) #s(literal 2 binary64)) (.f64 (.f64 y.im (.f64 y.re x.re)) (neg.f64 x.im))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 y.re x.re) #s(literal 9 binary64)) (+.f64 (-.f64 (pow.f64 (.f64 y.re x.re) #s(literal 6 binary64)) (pow.f64 (.f64 y.im x.im) #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 (.f64 y.im x.im) x.re) y.re) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 y.im x.im) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 y.re x.re) #s(literal 2 binary64)) (.f64 (.f64 y.im (.f64 y.re x.re)) (neg.f64 x.im))))) (/.f64 (/.f64 (pow.f64 (.f64 y.im x.im) #s(literal 9 binary64)) (+.f64 (-.f64 (pow.f64 (.f64 y.re x.re) #s(literal 6 binary64)) (pow.f64 (.f64 y.im x.im) #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 (.f64 y.im x.im) x.re) y.re) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 y.im x.im) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 y.re x.re) #s(literal 2 binary64)) (.f64 (.f64 y.im (.f64 y.re x.re)) (neg.f64 x.im))))))
(-.f64 (/.f64 (pow.f64 (.f64 y.re x.re) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 y.im x.im) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 y.re x.re) #s(literal 2 binary64)) (.f64 (.f64 y.im (.f64 y.re x.re)) (neg.f64 x.im))))) (/.f64 (pow.f64 (.f64 y.im x.im) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 y.im x.im) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 y.re x.re) #s(literal 2 binary64)) (.f64 (.f64 y.im (.f64 y.re x.re)) (neg.f64 x.im))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 y.re x.re) #s(literal 6 binary64)) (-.f64 (pow.f64 (.f64 y.re x.re) #s(literal 3 binary64)) (pow.f64 (.f64 y.im x.im) #s(literal 3 binary64)))) (fma.f64 (fma.f64 y.im x.im (.f64 y.re x.re)) (.f64 y.im x.im) (pow.f64 (.f64 y.re x.re) #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 (.f64 y.im x.im) #s(literal 6 binary64)) (-.f64 (pow.f64 (.f64 y.re x.re) #s(literal 3 binary64)) (pow.f64 (.f64 y.im x.im) #s(literal 3 binary64)))) (fma.f64 (fma.f64 y.im x.im (.f64 y.re x.re)) (.f64 y.im x.im) (pow.f64 (.f64 y.re x.re) #s(literal 2 binary64)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 y.re x.re) #s(literal 9 binary64)) (+.f64 (-.f64 (pow.f64 (.f64 y.re x.re) #s(literal 6 binary64)) (pow.f64 (.f64 y.im x.im) #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 (.f64 y.im x.im) x.re) y.re) #s(literal 3 binary64)))) (fma.f64 (fma.f64 y.im x.im (.f64 y.re x.re)) (.f64 y.im x.im) (pow.f64 (.f64 y.re x.re) #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 (.f64 y.im x.im) #s(literal 9 binary64)) (+.f64 (-.f64 (pow.f64 (.f64 y.re x.re) #s(literal 6 binary64)) (pow.f64 (.f64 y.im x.im) #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 (.f64 y.im x.im) x.re) y.re) #s(literal 3 binary64)))) (fma.f64 (fma.f64 y.im x.im (.f64 y.re x.re)) (.f64 y.im x.im) (pow.f64 (.f64 y.re x.re) #s(literal 2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 y.im x.im (.f64 y.re x.re)))) (/.f64 (-.f64 (pow.f64 (.f64 y.re x.re) #s(literal 2 binary64)) (pow.f64 (.f64 y.im x.im) #s(literal 2 binary64))) (neg.f64 (fma.f64 y.im x.im (.f64 y.re x.re)))))
(-.f64 (fma.f64 y.re x.re #s(literal 0 binary64)) (*.f64 y.im x.im))
(-.f64 #s(literal 0 binary64) (-.f64 (.f64 y.im x.im) (.f64 y.re x.re)))
(-.f64 (/.f64 (pow.f64 (.f64 y.re x.re) #s(literal 2 binary64)) (fma.f64 y.im x.im (.f64 y.re x.re))) (/.f64 (pow.f64 (.f64 y.im x.im) #s(literal 2 binary64)) (fma.f64 y.im x.im (.f64 y.re x.re))))
(-.f64 (/.f64 (pow.f64 (.f64 y.re x.re) #s(literal 3 binary64)) (fma.f64 (fma.f64 y.im x.im (.f64 y.re x.re)) (.f64 y.im x.im) (pow.f64 (.f64 y.re x.re) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 y.im x.im) #s(literal 3 binary64)) (fma.f64 (fma.f64 y.im x.im (.f64 y.re x.re)) (.f64 y.im x.im) (pow.f64 (.f64 y.re x.re) #s(literal 2 binary64)))))
(-.f64 (.f64 y.re x.re) (.f64 y.im x.im))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 (neg.f64 y.im) x.im (.f64 y.re x.re)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (/.f64 (pow.f64 (.f64 y.re x.re) #s(literal 2 binary64)) (fma.f64 y.im x.im (.f64 y.re x.re))) (neg.f64 (/.f64 (pow.f64 (.f64 y.im x.im) #s(literal 2 binary64)) (fma.f64 y.im x.im (.f64 y.re x.re)))))
(+.f64 (/.f64 (pow.f64 (.f64 y.re x.re) #s(literal 3 binary64)) (fma.f64 (fma.f64 y.im x.im (.f64 y.re x.re)) (.f64 y.im x.im) (pow.f64 (.f64 y.re x.re) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (.f64 y.im x.im) #s(literal 3 binary64)) (fma.f64 (fma.f64 y.im x.im (.f64 y.re x.re)) (.f64 y.im x.im) (pow.f64 (.f64 y.re x.re) #s(literal 2 binary64))))))
(+.f64 (.f64 (neg.f64 y.im) x.im) (.f64 y.re x.re))
(+.f64 (.f64 y.re x.re) (.f64 (neg.f64 y.im) x.im))
(*.f64 (exp.f64 (log.f64 x.re)) (exp.f64 (log.f64 y.re)))
(*.f64 (exp.f64 (log.f64 y.re)) (exp.f64 (log.f64 x.re)))
(*.f64 (pow.f64 y.re #s(literal 1 binary64)) (pow.f64 x.re #s(literal 1 binary64)))
(*.f64 (pow.f64 x.re #s(literal 1 binary64)) (pow.f64 y.re #s(literal 1 binary64)))
(*.f64 y.re x.re)
(*.f64 x.re y.re)
(pow.f64 (*.f64 y.re x.re) #s(literal 1 binary64))
(exp.f64 (.f64 (log.f64 (.f64 y.re x.re)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 y.re x.re)))
(*.f64 (exp.f64 (log.f64 x.im)) (exp.f64 (log.f64 y.im)))
(*.f64 (exp.f64 (log.f64 y.im)) (exp.f64 (log.f64 x.im)))
(*.f64 (pow.f64 y.im #s(literal 1 binary64)) (pow.f64 x.im #s(literal 1 binary64)))
(*.f64 (pow.f64 x.im #s(literal 1 binary64)) (pow.f64 y.im #s(literal 1 binary64)))
(*.f64 y.im x.im)
(*.f64 x.im y.im)
(pow.f64 (*.f64 y.im x.im) #s(literal 1 binary64))
(exp.f64 (.f64 (log.f64 (.f64 y.im x.im)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 y.im x.im)))

eval73.0ms (2.5%)

Memory: -9.2MiB live, 103.4MiB allocated
Compiler: Compiled 10 426 to 664 computations (93.6% saved)

prune7.0ms (0.3%)

Memory

-11.9MiB live, 25.8MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	323	3	326
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	324	3	327

Accuracy

100.0%

Counts

327 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(fma.f64 (neg.f64 y.im) x.im (*.f64 y.re x.re))
▶	51.9%	#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 y.im) x.im))
▶	51.7%	#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 y.re x.re))

Compiler

Compiled 16 to 20 computations (-25% saved)

simplify12.0ms (0.4%)

Memory

32.8MiB live, 32.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

208×	`lower-fma.f32`
206×	`lower-fma.f64`
144×	`lower-*.f32`
140×	`lower-*.f64`
64×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	52
0	17	52
1	33	52
2	42	52
3	55	52
4	78	52
5	106	52
6	166	52
7	231	52
8	283	52
9	312	52
10	328	52
0	328	52

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 y.re x.re))
(*.f64 y.re x.re)
y.re
x.re
#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 y.im) x.im))
(*.f64 (neg.f64 y.im) x.im)
(neg.f64 y.im)
y.im
x.im
(fma.f64 (neg.f64 y.im) x.im (*.f64 y.re x.re))
(neg.f64 y.im)
y.im
x.im
(*.f64 y.re x.re)
y.re
x.re

Outputs
#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 y.re x.re))
(*.f64 y.re x.re)
y.re
x.re
#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 y.im) x.im))
(*.f64 (neg.f64 y.im) x.im)
(neg.f64 y.im)
y.im
x.im
(fma.f64 (neg.f64 y.im) x.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(neg.f64 y.im)
y.im
x.im
(*.f64 y.re x.re)
y.re
x.re

localize380.0ms (13.1%)

Memory

-271.6MiB live, 89.0MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y.re x.re)
accuracy	0	(neg.f64 y.im)
accuracy	0.24999724760556022	(fma.f64 (neg.f64 y.im) x.im (*.f64 y.re x.re))
accuracy	0	(*.f64 (neg.f64 y.im) x.im)
accuracy	0	(neg.f64 y.im)
accuracy	30.789695933674565	#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 y.im) x.im))
accuracy	0	(*.f64 y.re x.re)
accuracy	30.899668272486647	#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 y.re x.re))

Samples

24.0ms

256×

valid

Compiler

Compiled 46 to 13 computations (71.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 11.0ms (77.2% of total)

ival-sub: 1.0ms (7% of total)

ival-add: 1.0ms (7% of total)

ival-neg: 1.0ms (7% of total)

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

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

series10.0ms (0.4%)

Memory

14.0MiB live, 14.0MiB allocated

Counts

6 → 204

Calls

Call 1

Inputs
#s(alt #s(approx (- (* x.re y.re) (* x.im y.im)) (.f64 y.re x.re)) (patch #s(approx (- ( x.re y.re) (* x.im y.im)) (*.f64 y.re x.re)) #<representation binary64>) () ())
#s(alt (.f64 y.re x.re) (patch (.f64 y.re x.re) #<representation binary64>) () ())
#s(alt #s(approx (- (* x.re y.re) (* x.im y.im)) (.f64 (neg.f64 y.im) x.im)) (patch #s(approx (- ( x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 y.im) x.im)) #<representation binary64>) () ())
#s(alt (.f64 (neg.f64 y.im) x.im) (patch (.f64 (neg.f64 y.im) x.im) #<representation binary64>) () ())
#s(alt (neg.f64 y.im) (patch (neg.f64 y.im) #<representation binary64>) () ())
#s(alt (fma.f64 (neg.f64 y.im) x.im (.f64 y.re x.re)) (patch (fma.f64 (neg.f64 y.im) x.im (.f64 y.re x.re)) #<representation binary64>) () ())

Outputs
#s(alt (* x.re y.re) (taylor 0 y.im) (#s(alt #s(approx (- (* x.re y.re) (* x.im y.im)) (.f64 y.re x.re)) (patch #s(approx (- ( x.re y.re) (* x.im y.im)) (*.f64 y.re x.re)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x.im y.im)) (* x.re y.re)) (taylor 0 y.im) (#s(alt #s(approx (- (* x.re y.re) (* x.im y.im)) (.f64 y.re x.re)) (patch #s(approx (- ( x.re y.re) (* x.im y.im)) (*.f64 y.re x.re)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x.im y.im)) (* x.re y.re)) (taylor 0 y.im) (#s(alt #s(approx (- (* x.re y.re) (* x.im y.im)) (.f64 y.re x.re)) (patch #s(approx (- ( x.re y.re) (* x.im y.im)) (*.f64 y.re x.re)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x.im y.im)) (* x.re y.re)) (taylor 0 y.im) (#s(alt #s(approx (- (* x.re y.re) (* x.im y.im)) (.f64 y.re x.re)) (patch #s(approx (- ( x.re y.re) (* x.im y.im)) (*.f64 y.re x.re)) #<representation binary64>) () ())) ())
#s(alt (* x.re y.re) (taylor 0 y.im) (#s(alt #s(approx (- (* x.re y.re) (* x.im y.im)) (.f64 (neg.f64 y.im) x.im)) (patch #s(approx (- ( x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 y.im) x.im)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x.im y.im)) (* x.re y.re)) (taylor 0 y.im) (#s(alt #s(approx (- (* x.re y.re) (* x.im y.im)) (.f64 (neg.f64 y.im) x.im)) (patch #s(approx (- ( x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 y.im) x.im)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x.im y.im)) (* x.re y.re)) (taylor 0 y.im) (#s(alt #s(approx (- (* x.re y.re) (* x.im y.im)) (.f64 (neg.f64 y.im) x.im)) (patch #s(approx (- ( x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 y.im) x.im)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x.im y.im)) (* x.re y.re)) (taylor 0 y.im) (#s(alt #s(approx (- (* x.re y.re) (* x.im y.im)) (.f64 (neg.f64 y.im) x.im)) (patch #s(approx (- ( x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 y.im) x.im)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.im y.im)) (taylor 0 y.im) (#s(alt (.f64 (neg.f64 y.im) x.im) (patch (.f64 (neg.f64 y.im) x.im) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.im y.im)) (taylor 0 y.im) (#s(alt (.f64 (neg.f64 y.im) x.im) (patch (.f64 (neg.f64 y.im) x.im) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.im y.im)) (taylor 0 y.im) (#s(alt (.f64 (neg.f64 y.im) x.im) (patch (.f64 (neg.f64 y.im) x.im) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.im y.im)) (taylor 0 y.im) (#s(alt (.f64 (neg.f64 y.im) x.im) (patch (.f64 (neg.f64 y.im) x.im) #<representation binary64>) () ())) ())
#s(alt (* -1 y.im) (taylor 0 y.im) (#s(alt (neg.f64 y.im) (patch (neg.f64 y.im) #<representation binary64>) () ())) ())
#s(alt (* -1 y.im) (taylor 0 y.im) (#s(alt (neg.f64 y.im) (patch (neg.f64 y.im) #<representation binary64>) () ())) ())
#s(alt (* -1 y.im) (taylor 0 y.im) (#s(alt (neg.f64 y.im) (patch (neg.f64 y.im) #<representation binary64>) () ())) ())
#s(alt (* -1 y.im) (taylor 0 y.im) (#s(alt (neg.f64 y.im) (patch (neg.f64 y.im) #<representation binary64>) () ())) ())
#s(alt (* x.re y.re) (taylor 0 y.im) (#s(alt (fma.f64 (neg.f64 y.im) x.im (.f64 y.re x.re)) (patch (fma.f64 (neg.f64 y.im) x.im (.f64 y.re x.re)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x.im y.im)) (* x.re y.re)) (taylor 0 y.im) (#s(alt (fma.f64 (neg.f64 y.im) x.im (.f64 y.re x.re)) (patch (fma.f64 (neg.f64 y.im) x.im (.f64 y.re x.re)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x.im y.im)) (* x.re y.re)) (taylor 0 y.im) (#s(alt (fma.f64 (neg.f64 y.im) x.im (.f64 y.re x.re)) (patch (fma.f64 (neg.f64 y.im) x.im (.f64 y.re x.re)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x.im y.im)) (* x.re y.re)) (taylor 0 y.im) (#s(alt (fma.f64 (neg.f64 y.im) x.im (.f64 y.re x.re)) (patch (fma.f64 (neg.f64 y.im) x.im (.f64 y.re x.re)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.im y.im)) (taylor inf y.im) (#s(alt #s(approx (- (* x.re y.re) (* x.im y.im)) (.f64 y.re x.re)) (patch #s(approx (- ( x.re y.re) (* x.im y.im)) (*.f64 y.re x.re)) #<representation binary64>) () ())) ())
#s(alt (* y.im (- (/ (* x.re y.re) y.im) x.im)) (taylor inf y.im) (#s(alt #s(approx (- (* x.re y.re) (* x.im y.im)) (.f64 y.re x.re)) (patch #s(approx (- ( x.re y.re) (* x.im y.im)) (*.f64 y.re x.re)) #<representation binary64>) () ())) ())
#s(alt (* y.im (- (/ (* x.re y.re) y.im) x.im)) (taylor inf y.im) (#s(alt #s(approx (- (* x.re y.re) (* x.im y.im)) (.f64 y.re x.re)) (patch #s(approx (- ( x.re y.re) (* x.im y.im)) (*.f64 y.re x.re)) #<representation binary64>) () ())) ())
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#s(alt (* x.re y.re) (taylor inf x.re) (#s(alt (.f64 y.re x.re) (patch (.f64 y.re x.re) #<representation binary64>) () ())) ())
#s(alt (* x.re y.re) (taylor inf x.re) (#s(alt (.f64 y.re x.re) (patch (.f64 y.re x.re) #<representation binary64>) () ())) ())
#s(alt (* x.re y.re) (taylor inf x.re) (#s(alt (.f64 y.re x.re) (patch (.f64 y.re x.re) #<representation binary64>) () ())) ())
#s(alt (* x.re y.re) (taylor inf x.re) (#s(alt #s(approx (- (* x.re y.re) (* x.im y.im)) (.f64 (neg.f64 y.im) x.im)) (patch #s(approx (- ( x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 y.im) x.im)) #<representation binary64>) () ())) ())
#s(alt (* x.re (+ y.re (* -1 (/ (* x.im y.im) x.re)))) (taylor inf x.re) (#s(alt #s(approx (- (* x.re y.re) (* x.im y.im)) (.f64 (neg.f64 y.im) x.im)) (patch #s(approx (- ( x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 y.im) x.im)) #<representation binary64>) () ())) ())
#s(alt (* x.re (+ y.re (* -1 (/ (* x.im y.im) x.re)))) (taylor inf x.re) (#s(alt #s(approx (- (* x.re y.re) (* x.im y.im)) (.f64 (neg.f64 y.im) x.im)) (patch #s(approx (- ( x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 y.im) x.im)) #<representation binary64>) () ())) ())
#s(alt (* x.re (+ y.re (* -1 (/ (* x.im y.im) x.re)))) (taylor inf x.re) (#s(alt #s(approx (- (* x.re y.re) (* x.im y.im)) (.f64 (neg.f64 y.im) x.im)) (patch #s(approx (- ( x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 y.im) x.im)) #<representation binary64>) () ())) ())
#s(alt (* x.re y.re) (taylor inf x.re) (#s(alt (fma.f64 (neg.f64 y.im) x.im (.f64 y.re x.re)) (patch (fma.f64 (neg.f64 y.im) x.im (.f64 y.re x.re)) #<representation binary64>) () ())) ())
#s(alt (* x.re (+ y.re (* -1 (/ (* x.im y.im) x.re)))) (taylor inf x.re) (#s(alt (fma.f64 (neg.f64 y.im) x.im (.f64 y.re x.re)) (patch (fma.f64 (neg.f64 y.im) x.im (.f64 y.re x.re)) #<representation binary64>) () ())) ())
#s(alt (* x.re (+ y.re (* -1 (/ (* x.im y.im) x.re)))) (taylor inf x.re) (#s(alt (fma.f64 (neg.f64 y.im) x.im (.f64 y.re x.re)) (patch (fma.f64 (neg.f64 y.im) x.im (.f64 y.re x.re)) #<representation binary64>) () ())) ())
#s(alt (* x.re (+ y.re (* -1 (/ (* x.im y.im) x.re)))) (taylor inf x.re) (#s(alt (fma.f64 (neg.f64 y.im) x.im (.f64 y.re x.re)) (patch (fma.f64 (neg.f64 y.im) x.im (.f64 y.re x.re)) #<representation binary64>) () ())) ())
#s(alt (* x.re y.re) (taylor -inf x.re) (#s(alt #s(approx (- (* x.re y.re) (* x.im y.im)) (.f64 y.re x.re)) (patch #s(approx (- ( x.re y.re) (* x.im y.im)) (*.f64 y.re x.re)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.re (+ (* -1 y.re) (/ (* x.im y.im) x.re)))) (taylor -inf x.re) (#s(alt #s(approx (- (* x.re y.re) (* x.im y.im)) (.f64 y.re x.re)) (patch #s(approx (- ( x.re y.re) (* x.im y.im)) (*.f64 y.re x.re)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.re (+ (* -1 y.re) (/ (* x.im y.im) x.re)))) (taylor -inf x.re) (#s(alt #s(approx (- (* x.re y.re) (* x.im y.im)) (.f64 y.re x.re)) (patch #s(approx (- ( x.re y.re) (* x.im y.im)) (*.f64 y.re x.re)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.re (+ (* -1 y.re) (/ (* x.im y.im) x.re)))) (taylor -inf x.re) (#s(alt #s(approx (- (* x.re y.re) (* x.im y.im)) (.f64 y.re x.re)) (patch #s(approx (- ( x.re y.re) (* x.im y.im)) (*.f64 y.re x.re)) #<representation binary64>) () ())) ())
#s(alt (* x.re y.re) (taylor -inf x.re) (#s(alt (.f64 y.re x.re) (patch (.f64 y.re x.re) #<representation binary64>) () ())) ())
#s(alt (* x.re y.re) (taylor -inf x.re) (#s(alt (.f64 y.re x.re) (patch (.f64 y.re x.re) #<representation binary64>) () ())) ())
#s(alt (* x.re y.re) (taylor -inf x.re) (#s(alt (.f64 y.re x.re) (patch (.f64 y.re x.re) #<representation binary64>) () ())) ())
#s(alt (* x.re y.re) (taylor -inf x.re) (#s(alt (.f64 y.re x.re) (patch (.f64 y.re x.re) #<representation binary64>) () ())) ())
#s(alt (* x.re y.re) (taylor -inf x.re) (#s(alt #s(approx (- (* x.re y.re) (* x.im y.im)) (.f64 (neg.f64 y.im) x.im)) (patch #s(approx (- ( x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 y.im) x.im)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.re (+ (* -1 y.re) (/ (* x.im y.im) x.re)))) (taylor -inf x.re) (#s(alt #s(approx (- (* x.re y.re) (* x.im y.im)) (.f64 (neg.f64 y.im) x.im)) (patch #s(approx (- ( x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 y.im) x.im)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.re (+ (* -1 y.re) (/ (* x.im y.im) x.re)))) (taylor -inf x.re) (#s(alt #s(approx (- (* x.re y.re) (* x.im y.im)) (.f64 (neg.f64 y.im) x.im)) (patch #s(approx (- ( x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 y.im) x.im)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.re (+ (* -1 y.re) (/ (* x.im y.im) x.re)))) (taylor -inf x.re) (#s(alt #s(approx (- (* x.re y.re) (* x.im y.im)) (.f64 (neg.f64 y.im) x.im)) (patch #s(approx (- ( x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 y.im) x.im)) #<representation binary64>) () ())) ())
#s(alt (* x.re y.re) (taylor -inf x.re) (#s(alt (fma.f64 (neg.f64 y.im) x.im (.f64 y.re x.re)) (patch (fma.f64 (neg.f64 y.im) x.im (.f64 y.re x.re)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.re (+ (* -1 y.re) (/ (* x.im y.im) x.re)))) (taylor -inf x.re) (#s(alt (fma.f64 (neg.f64 y.im) x.im (.f64 y.re x.re)) (patch (fma.f64 (neg.f64 y.im) x.im (.f64 y.re x.re)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.re (+ (* -1 y.re) (/ (* x.im y.im) x.re)))) (taylor -inf x.re) (#s(alt (fma.f64 (neg.f64 y.im) x.im (.f64 y.re x.re)) (patch (fma.f64 (neg.f64 y.im) x.im (.f64 y.re x.re)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.re (+ (* -1 y.re) (/ (* x.im y.im) x.re)))) (taylor -inf x.re) (#s(alt (fma.f64 (neg.f64 y.im) x.im (.f64 y.re x.re)) (patch (fma.f64 (neg.f64 y.im) x.im (.f64 y.re x.re)) #<representation binary64>) () ())) ())

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	y.im	@	inf	((- (* x.re y.re) (* x.im y.im)) (* y.re x.re) (- (* x.re y.re) (* x.im y.im)) (* (neg y.im) x.im) (neg y.im) (+ (* (neg y.im) x.im) (* y.re x.re)))
1.0ms	y.im	@	0	((- (* x.re y.re) (* x.im y.im)) (* y.re x.re) (- (* x.re y.re) (* x.im y.im)) (* (neg y.im) x.im) (neg y.im) (+ (* (neg y.im) x.im) (* y.re x.re)))
1.0ms	x.im	@	0	((- (* x.re y.re) (* x.im y.im)) (* y.re x.re) (- (* x.re y.re) (* x.im y.im)) (* (neg y.im) x.im) (neg y.im) (+ (* (neg y.im) x.im) (* y.re x.re)))
1.0ms	y.im	@	-inf	((- (* x.re y.re) (* x.im y.im)) (* y.re x.re) (- (* x.re y.re) (* x.im y.im)) (* (neg y.im) x.im) (neg y.im) (+ (* (neg y.im) x.im) (* y.re x.re)))
0.0ms	x.re	@	-inf	((- (* x.re y.re) (* x.im y.im)) (* y.re x.re) (- (* x.re y.re) (* x.im y.im)) (* (neg y.im) x.im) (neg y.im) (+ (* (neg y.im) x.im) (* y.re x.re)))

simplify191.0ms (6.6%)

Memory

-2.4MiB live, 112.2MiB allocated

Algorithm

1×	egg-herbie

Rules

3 984×	`lower-fma.f64`
3 984×	`lower-fma.f32`
3 832×	`lower-/.f32`
3 832×	`lower-/.f64`
2 448×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	1074
1	185	1074
2	495	1074
3	1585	1074
4	3664	1074
5	5430	1074
6	6004	1074
7	6048	1074
8	6066	1074
9	6070	1074
10	7113	1074
0	8909	1074

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

Inputs
(* x.re y.re)
(+ (* -1 (* x.im y.im)) (* x.re y.re))
(+ (* -1 (* x.im y.im)) (* x.re y.re))
(+ (* -1 (* x.im y.im)) (* x.re y.re))
(* x.re y.re)
(+ (* -1 (* x.im y.im)) (* x.re y.re))
(+ (* -1 (* x.im y.im)) (* x.re y.re))
(+ (* -1 (* x.im y.im)) (* x.re y.re))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 y.im)
(* -1 y.im)
(* -1 y.im)
(* -1 y.im)
(* x.re y.re)
(+ (* -1 (* x.im y.im)) (* x.re y.re))
(+ (* -1 (* x.im y.im)) (* x.re y.re))
(+ (* -1 (* x.im y.im)) (* x.re y.re))
(* -1 (* x.im y.im))
(* y.im (- (/ (* x.re y.re) y.im) x.im))
(* y.im (- (/ (* x.re y.re) y.im) x.im))
(* y.im (- (/ (* x.re y.re) y.im) x.im))
(* -1 (* x.im y.im))
(* y.im (- (/ (* x.re y.re) y.im) x.im))
(* y.im (- (/ (* x.re y.re) y.im) x.im))
(* y.im (- (/ (* x.re y.re) y.im) x.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 y.im)
(* -1 y.im)
(* -1 y.im)
(* -1 y.im)
(* -1 (* x.im y.im))
(* y.im (+ (* -1 x.im) (/ (* x.re y.re) y.im)))
(* y.im (+ (* -1 x.im) (/ (* x.re y.re) y.im)))
(* y.im (+ (* -1 x.im) (/ (* x.re y.re) y.im)))
(* -1 (* x.im y.im))
(* -1 (* y.im (- (* -1 (/ (* x.re y.re) y.im)) (* -1 x.im))))
(* -1 (* y.im (- (* -1 (/ (* x.re y.re) y.im)) (* -1 x.im))))
(* -1 (* y.im (- (* -1 (/ (* x.re y.re) y.im)) (* -1 x.im))))
(* -1 (* x.im y.im))
(* -1 (* y.im (- (* -1 (/ (* x.re y.re) y.im)) (* -1 x.im))))
(* -1 (* y.im (- (* -1 (/ (* x.re y.re) y.im)) (* -1 x.im))))
(* -1 (* y.im (- (* -1 (/ (* x.re y.re) y.im)) (* -1 x.im))))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 y.im)
(* -1 y.im)
(* -1 y.im)
(* -1 y.im)
(* -1 (* x.im y.im))
(* -1 (* y.im (+ x.im (* -1 (/ (* x.re y.re) y.im)))))
(* -1 (* y.im (+ x.im (* -1 (/ (* x.re y.re) y.im)))))
(* -1 (* y.im (+ x.im (* -1 (/ (* x.re y.re) y.im)))))
(* -1 (* x.im y.im))
(- (* x.re y.re) (* x.im y.im))
(- (* x.re y.re) (* x.im y.im))
(- (* x.re y.re) (* x.im y.im))
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* -1 (* x.im y.im))
(- (* x.re y.re) (* x.im y.im))
(- (* x.re y.re) (* x.im y.im))
(- (* x.re y.re) (* x.im y.im))
(* -1 (* x.im y.im))
(+ (* -1 (* x.im y.im)) (* x.re y.re))
(+ (* -1 (* x.im y.im)) (* x.re y.re))
(+ (* -1 (* x.im y.im)) (* x.re y.re))
(* x.re y.re)
(* y.re (+ x.re (* -1 (/ (* x.im y.im) y.re))))
(* y.re (+ x.re (* -1 (/ (* x.im y.im) y.re))))
(* y.re (+ x.re (* -1 (/ (* x.im y.im) y.re))))
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* y.re (+ x.re (* -1 (/ (* x.im y.im) y.re))))
(* y.re (+ x.re (* -1 (/ (* x.im y.im) y.re))))
(* y.re (+ x.re (* -1 (/ (* x.im y.im) y.re))))
(* x.re y.re)
(* y.re (+ x.re (* -1 (/ (* x.im y.im) y.re))))
(* y.re (+ x.re (* -1 (/ (* x.im y.im) y.re))))
(* y.re (+ x.re (* -1 (/ (* x.im y.im) y.re))))
(* x.re y.re)
(* -1 (* y.re (+ (* -1 x.re) (/ (* x.im y.im) y.re))))
(* -1 (* y.re (+ (* -1 x.re) (/ (* x.im y.im) y.re))))
(* -1 (* y.re (+ (* -1 x.re) (/ (* x.im y.im) y.re))))
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* -1 (* y.re (+ (* -1 x.re) (/ (* x.im y.im) y.re))))
(* -1 (* y.re (+ (* -1 x.re) (/ (* x.im y.im) y.re))))
(* -1 (* y.re (+ (* -1 x.re) (/ (* x.im y.im) y.re))))
(* x.re y.re)
(* -1 (* y.re (+ (* -1 x.re) (/ (* x.im y.im) y.re))))
(* -1 (* y.re (+ (* -1 x.re) (/ (* x.im y.im) y.re))))
(* -1 (* y.re (+ (* -1 x.re) (/ (* x.im y.im) y.re))))
(* x.re y.re)
(+ (* -1 (* x.im y.im)) (* x.re y.re))
(+ (* -1 (* x.im y.im)) (* x.re y.re))
(+ (* -1 (* x.im y.im)) (* x.re y.re))
(* x.re y.re)
(+ (* -1 (* x.im y.im)) (* x.re y.re))
(+ (* -1 (* x.im y.im)) (* x.re y.re))
(+ (* -1 (* x.im y.im)) (* x.re y.re))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* x.re y.re)
(+ (* -1 (* x.im y.im)) (* x.re y.re))
(+ (* -1 (* x.im y.im)) (* x.re y.re))
(+ (* -1 (* x.im y.im)) (* x.re y.re))
(* -1 (* x.im y.im))
(* x.im (- (/ (* x.re y.re) x.im) y.im))
(* x.im (- (/ (* x.re y.re) x.im) y.im))
(* x.im (- (/ (* x.re y.re) x.im) y.im))
(* -1 (* x.im y.im))
(* x.im (- (/ (* x.re y.re) x.im) y.im))
(* x.im (- (/ (* x.re y.re) x.im) y.im))
(* x.im (- (/ (* x.re y.re) x.im) y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* x.im (+ (* -1 y.im) (/ (* x.re y.re) x.im)))
(* x.im (+ (* -1 y.im) (/ (* x.re y.re) x.im)))
(* x.im (+ (* -1 y.im) (/ (* x.re y.re) x.im)))
(* -1 (* x.im y.im))
(* -1 (* x.im (- (* -1 (/ (* x.re y.re) x.im)) (* -1 y.im))))
(* -1 (* x.im (- (* -1 (/ (* x.re y.re) x.im)) (* -1 y.im))))
(* -1 (* x.im (- (* -1 (/ (* x.re y.re) x.im)) (* -1 y.im))))
(* -1 (* x.im y.im))
(* -1 (* x.im (- (* -1 (/ (* x.re y.re) x.im)) (* -1 y.im))))
(* -1 (* x.im (- (* -1 (/ (* x.re y.re) x.im)) (* -1 y.im))))
(* -1 (* x.im (- (* -1 (/ (* x.re y.re) x.im)) (* -1 y.im))))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im (+ y.im (* -1 (/ (* x.re y.re) x.im)))))
(* -1 (* x.im (+ y.im (* -1 (/ (* x.re y.re) x.im)))))
(* -1 (* x.im (+ y.im (* -1 (/ (* x.re y.re) x.im)))))
(* -1 (* x.im y.im))
(- (* x.re y.re) (* x.im y.im))
(- (* x.re y.re) (* x.im y.im))
(- (* x.re y.re) (* x.im y.im))
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* -1 (* x.im y.im))
(- (* x.re y.re) (* x.im y.im))
(- (* x.re y.re) (* x.im y.im))
(- (* x.re y.re) (* x.im y.im))
(* -1 (* x.im y.im))
(+ (* -1 (* x.im y.im)) (* x.re y.re))
(+ (* -1 (* x.im y.im)) (* x.re y.re))
(+ (* -1 (* x.im y.im)) (* x.re y.re))
(* x.re y.re)
(* x.re (+ y.re (* -1 (/ (* x.im y.im) x.re))))
(* x.re (+ y.re (* -1 (/ (* x.im y.im) x.re))))
(* x.re (+ y.re (* -1 (/ (* x.im y.im) x.re))))
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re (+ y.re (* -1 (/ (* x.im y.im) x.re))))
(* x.re (+ y.re (* -1 (/ (* x.im y.im) x.re))))
(* x.re (+ y.re (* -1 (/ (* x.im y.im) x.re))))
(* x.re y.re)
(* x.re (+ y.re (* -1 (/ (* x.im y.im) x.re))))
(* x.re (+ y.re (* -1 (/ (* x.im y.im) x.re))))
(* x.re (+ y.re (* -1 (/ (* x.im y.im) x.re))))
(* x.re y.re)
(* -1 (* x.re (+ (* -1 y.re) (/ (* x.im y.im) x.re))))
(* -1 (* x.re (+ (* -1 y.re) (/ (* x.im y.im) x.re))))
(* -1 (* x.re (+ (* -1 y.re) (/ (* x.im y.im) x.re))))
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* -1 (* x.re (+ (* -1 y.re) (/ (* x.im y.im) x.re))))
(* -1 (* x.re (+ (* -1 y.re) (/ (* x.im y.im) x.re))))
(* -1 (* x.re (+ (* -1 y.re) (/ (* x.im y.im) x.re))))
(* x.re y.re)
(* -1 (* x.re (+ (* -1 y.re) (/ (* x.im y.im) x.re))))
(* -1 (* x.re (+ (* -1 y.re) (/ (* x.im y.im) x.re))))
(* -1 (* x.re (+ (* -1 y.re) (/ (* x.im y.im) x.re))))

Outputs
(* x.re y.re)
(*.f64 y.re x.re)
(+ (* -1 (* x.im y.im)) (* x.re y.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(+ (* -1 (* x.im y.im)) (* x.re y.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(+ (* -1 (* x.im y.im)) (* x.re y.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(* x.re y.re)
(*.f64 y.re x.re)
(+ (* -1 (* x.im y.im)) (* x.re y.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(+ (* -1 (* x.im y.im)) (* x.re y.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(+ (* -1 (* x.im y.im)) (* x.re y.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(* -1 (* x.im y.im))
(*.f64 (neg.f64 x.im) y.im)
(* -1 (* x.im y.im))
(*.f64 (neg.f64 x.im) y.im)
(* -1 (* x.im y.im))
(*.f64 (neg.f64 x.im) y.im)
(* -1 (* x.im y.im))
(*.f64 (neg.f64 x.im) y.im)
(* -1 y.im)
(neg.f64 y.im)
(* -1 y.im)
(neg.f64 y.im)
(* -1 y.im)
(neg.f64 y.im)
(* -1 y.im)
(neg.f64 y.im)
(* x.re y.re)
(*.f64 y.re x.re)
(+ (* -1 (* x.im y.im)) (* x.re y.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(+ (* -1 (* x.im y.im)) (* x.re y.re))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(+ (* -1 (* x.im y.im)) (* x.re y.re))
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(* x.im (+ (* -1 y.im) (/ (* x.re y.re) x.im)))
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(- (* x.re y.re) (* x.im y.im))
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(- (* x.re y.re) (* x.im y.im))
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(* x.re y.re)
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(* x.re (+ y.re (* -1 (/ (* x.im y.im) x.re))))
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(* x.re (+ y.re (* -1 (/ (* x.im y.im) x.re))))
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(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
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(* x.re y.re)
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(* x.re y.re)
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(* x.re y.re)
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(* x.re y.re)
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(* x.re y.re)
(*.f64 y.re x.re)
(* -1 (* x.re (+ (* -1 y.re) (/ (* x.im y.im) x.re))))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
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(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(* -1 (* x.re (+ (* -1 y.re) (/ (* x.im y.im) x.re))))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))

rewrite204.0ms (7%)

Memory

3.9MiB live, 244.0MiB allocated

Rules

8 286×	`lower-fma.f32`
8 284×	`lower-fma.f64`
5 240×	`lower-*.f32`
5 236×	`lower-*.f64`
1 966×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	39
0	17	39
1	63	39
2	377	39
3	4030	39
0	8123	39

Stop Event

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

Counts

6 → 203

Calls

Call 1

Inputs
#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 y.re x.re))
(*.f64 y.re x.re)
#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 y.im) x.im))
(*.f64 (neg.f64 y.im) x.im)
(neg.f64 y.im)
(fma.f64 (neg.f64 y.im) x.im (*.f64 y.re x.re))

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

eval120.0ms (4.1%)

Memory: -12.5MiB live, 105.8MiB allocated
Compiler: Compiled 7 175 to 623 computations (91.3% saved)

prune18.0ms (0.6%)

Memory

14.9MiB live, 51.9MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	476	0	476
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	476	3	479

Accuracy

100.0%

Counts

479 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(fma.f64 (neg.f64 y.im) x.im (*.f64 y.re x.re))
✓	51.9%	#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 y.im) x.im))
✓	51.7%	#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 y.re x.re))

Compiler

Compiled 39 to 33 computations (15.4% saved)

regimes18.0ms (0.6%)

Memory

2.5MiB live, 39.1MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 y.re x.re))
#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 y.im) x.im))
(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))
(fma.f64 (neg.f64 y.im) x.im (*.f64 y.re x.re))

Outputs
(fma.f64 (neg.f64 y.im) x.im (*.f64 y.re x.re))

Calls

7 calls:

5.0ms	y.re
2.0ms	x.re
2.0ms	y.im
2.0ms	(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))
2.0ms	x.im

Results

Accuracy	Segments	Branch
99.6%	1	`x.re`
99.6%	1	`x.im`
99.6%	1	`y.re`
99.6%	1	`y.im`
99.6%	1	`(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))`
99.6%	1	`(*.f64 x.re y.re)`
99.6%	1	`(*.f64 x.im y.im)`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

regimes17.0ms (0.6%)

Memory

3.7MiB live, 39.3MiB allocated

Counts

3 → 1

Calls

Call 1

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

Outputs
(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))

Calls

7 calls:

5.0ms	y.re
2.0ms	x.im
2.0ms	x.re
2.0ms	y.im
2.0ms	(*.f64 x.re y.re)

Results

Accuracy	Segments	Branch
99.6%	1	`x.re`
99.6%	1	`x.im`
99.6%	1	`y.re`
99.6%	1	`y.im`
99.6%	1	`(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))`
99.6%	1	`(*.f64 x.re y.re)`
99.6%	1	`(*.f64 x.im y.im)`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

regimes17.0ms (0.6%)

Memory

-12.1MiB live, 35.0MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

7 calls:

6.0ms	x.im
2.0ms	y.re
2.0ms	x.re
2.0ms	(*.f64 x.re y.re)
2.0ms	y.im

Results

Accuracy	Segments	Branch
69.8%	3	`x.re`
74.6%	3	`x.im`
77.2%	3	`y.re`
77.6%	3	`y.im`
61.4%	4	`(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))`
80.8%	3	`(*.f64 x.re y.re)`
81.9%	3	`(*.f64 x.im y.im)`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

regimes11.0ms (0.4%)

Memory

1.7MiB live, 41.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

7 calls:

2.0ms	x.re
1.0ms	(*.f64 x.re y.re)
1.0ms	(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))
1.0ms	y.re
1.0ms	y.im

Results

Accuracy	Segments	Branch
51.7%	1	`(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))`
51.7%	1	`x.re`
51.7%	1	`x.im`
51.7%	1	`y.re`
51.7%	1	`y.im`
51.7%	1	`(*.f64 x.re y.re)`
51.7%	1	`(*.f64 x.im y.im)`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.2363390268620296e-14	0.0060748691467279094
0.0ms	-1.6393431077741925e-18	-4.110333979250075e-20

Compiler

Compiled 10 to 14 computations (-40% saved)

simplify34.0ms (1.2%)

Memory

8.8MiB live, 48.1MiB allocated

Algorithm

1×	egg-herbie

Rules

12×	`-commutative-binary64-.f64`
8×	`+-commutative-binary64-+.f64`
8×	`sub-neg-binary64-neg.f64-+.f64--.f64`
6×	`neg-sub0-binary64--.f64-neg.f64`
6×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	72
1	37	72
2	45	72
3	50	72
4	52	72

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (neg.f64 y.im) x.im (*.f64 y.re x.re))
(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))
(if (<=.f64 (.f64 x.im y.im) #s(literal -1298074214633707/1298074214633706907132624082305024 binary64)) #s(approx (- ( x.re y.re) (* x.im y.im)) (.f64 (neg.f64 y.im) x.im)) (if (<=.f64 (.f64 x.im y.im) #s(literal 6338253001141147/316912650057057350374175801344 binary64)) #s(approx (- (* x.re y.re) (* x.im y.im)) (.f64 y.re x.re)) #s(approx (- ( x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 y.im) x.im))))
#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 y.re x.re))

Outputs
(fma.f64 (neg.f64 y.im) x.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 y.im) x.im (*.f64 x.re y.re))
(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))
(if (<=.f64 (.f64 x.im y.im) #s(literal -1298074214633707/1298074214633706907132624082305024 binary64)) #s(approx (- ( x.re y.re) (* x.im y.im)) (.f64 (neg.f64 y.im) x.im)) (if (<=.f64 (.f64 x.im y.im) #s(literal 6338253001141147/316912650057057350374175801344 binary64)) #s(approx (- (* x.re y.re) (* x.im y.im)) (.f64 y.re x.re)) #s(approx (- ( x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 y.im) x.im))))
(if (<=.f64 (.f64 x.im y.im) #s(literal -1298074214633707/1298074214633706907132624082305024 binary64)) #s(approx (- ( x.re y.re) (* x.im y.im)) (.f64 x.im (neg.f64 y.im))) (if (<=.f64 (.f64 x.im y.im) #s(literal 6338253001141147/316912650057057350374175801344 binary64)) #s(approx (- (* x.re y.re) (* x.im y.im)) (.f64 x.re y.re)) #s(approx (- ( x.re y.re) (* x.im y.im)) (*.f64 x.im (neg.f64 y.im)))))
#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 y.re x.re))
#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 x.re y.re))

soundness502.0ms (17.3%)

Memory

-19.8MiB live, 230.9MiB allocated

Rules

10 966×	`lower-fma.f64`
10 966×	`lower-fma.f32`
5 952×	`lower-fma.f64`
5 952×	`lower-fma.f32`
4 326×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	438
1	141	438
2	387	438
3	1314	438
4	3796	438
5	6101	438
6	7977	438
0	8187	438
0	7	13
0	10	13
1	30	13
2	207	13
3	1953	13
0	8325	13

Stop Event

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

Compiler

Compiled 75 to 45 computations (40% saved)

preprocess61.0ms (2.1%)

Memory

11.4MiB live, 50.1MiB allocated

Remove

(sort x.im y.im)

(sort x.re y.re)

Compiler

Compiled 214 to 162 computations (24.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	36	102
1	103	102
2	183	102
3	383	102
4	613	102
5	695	102
6	707	102
0	7	7
0	10	7
1	17	7
2	29	7
3	41	7
4	62	7
5	92	7
6	150	7
7	217	7
8	277	7
9	306	7
10	322	7
0	322	7

Iter	Nodes	Cost
0	7	17
0	10	17
1	17	17
2	29	17
3	41	17
4	62	17
5	92	17
6	150	17
7	217	17
8	277	17
9	306	17
10	322	17
0	322	17

Iter	Nodes	Cost
0	13	52
0	17	52
1	33	52
2	42	52
3	55	52
4	78	52
5	106	52
6	166	52
7	231	52
8	283	52
9	312	52
10	328	52
0	328	52

Iter	Nodes	Cost
0	36	102
1	103	102
2	183	102
3	383	102
4	613	102
5	695	102
6	707	102
0	7	7
0	10	7
1	17	7
2	29	7
3	41	7
4	62	7
5	92	7
6	150	7
7	217	7
8	277	7
9	306	7
10	322	7
0	322	7

Iter	Nodes	Cost
0	7	17
0	10	17
1	17	17
2	29	17
3	41	17
4	62	17
5	92	17
6	150	17
7	217	17
8	277	17
9	306	17
10	322	17
0	322	17

Iter	Nodes	Cost
0	13	52
0	17	52
1	33	52
2	42	52
3	55	52
4	78	52
5	106	52
6	166	52
7	231	52
8	283	52
9	312	52
10	328	52
0	328	52

start0.0ms (0%)

analyze9.0ms (0.3%)

sample701.0ms (24.1%)

explain71.0ms (2.5%)

preprocess42.0ms (1.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify11.0ms (0.4%)

localize43.0ms (1.5%)

series11.0ms (0.4%)

simplify116.0ms (4%)

rewrite227.0ms (7.8%)

eval73.0ms (2.5%)

prune7.0ms (0.3%)

simplify12.0ms (0.4%)

localize380.0ms (13.1%)

series10.0ms (0.4%)

simplify191.0ms (6.6%)

rewrite204.0ms (7%)

eval120.0ms (4.1%)

prune18.0ms (0.6%)

regimes18.0ms (0.6%)

regimes17.0ms (0.6%)

regimes17.0ms (0.6%)

regimes11.0ms (0.4%)

bsearch1.0ms (0%)

simplify34.0ms (1.2%)

soundness502.0ms (17.3%)

preprocess61.0ms (2.1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	36	102
1	103	102
2	183	102
3	383	102
4	613	102
5	695	102
6	707	102
0	7	7
0	10	7
1	17	7
2	29	7
3	41	7
4	62	7
5	92	7
6	150	7
7	217	7
8	277	7
9	306	7
10	322	7
0	322	7

Iter	Nodes	Cost
0	7	17
0	10	17
1	17	17
2	29	17
3	41	17
4	62	17
5	92	17
6	150	17
7	217	17
8	277	17
9	306	17
10	322	17
0	322	17

Iter	Nodes	Cost
0	13	52
0	17	52
1	33	52
2	42	52
3	55	52
4	78	52
5	106	52
6	166	52
7	231	52
8	283	52
9	312	52
10	328	52
0	328	52