Metrics for Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.3MiB live, 0.4MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 7 to 7 computations (0% saved)

sample657.0ms (10.8%)

Memory

-10.1MiB live, 717.0MiB allocated

Samples

432.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 199.0ms

ival-sub: 85.0ms (42.7% of total)

ival-sqrt: 58.0ms (29.1% of total)

ival-fabs: 47.0ms (23.6% of total)

ival-true: 6.0ms (3% of total)

ival-assert: 3.0ms (1.5% of total)

Bogosity

explain63.0ms (1%)

Memory

1.6MiB live, 39.0MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`y`
-	-	`(fabs.f64 (-.f64 x y))`
-	-	`(-.f64 x y)`
-	-	`(sqrt.f64 (fabs.f64 (-.f64 x y)))`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

40.0ms

512×

valid

Compiler

Compiled 39 to 19 computations (51.3% saved)

Precisions

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

ival-sqrt: 4.0ms (40.7% of total)

ival-sub: 3.0ms (30.5% of total)

ival-fabs: 3.0ms (30.5% of total)

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

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

preprocess18.0ms (0.3%)

Memory

15.0MiB live, 15.0MiB allocated

Algorithm

1×	egg-herbie

Rules

80×	`lower-fma.f64`
80×	`lower-fma.f32`
52×	`lower-*.f64`
52×	`lower-*.f32`
50×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	31
1	35	27
2	72	27
3	137	27
4	185	27
5	197	27
6	199	27
0	5	5
0	8	5
1	12	5
2	19	5
3	27	5
4	46	5
5	93	5
6	144	5
7	165	5
8	173	5
0	173	5

Stop Event

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

Calls

Call 1

Inputs
(sqrt.f64 (fabs.f64 (-.f64 x y)))

Outputs
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (fabs.f64 (-.f64 y x)))

Symmetry

(sort x y)

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(sqrt.f64 (fabs.f64 (-.f64 x y)))

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify7.0ms (0.1%)

Memory

7.3MiB live, 7.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(-.f64 x y)
cost-diff	0	(fabs.f64 (-.f64 x y))
cost-diff	0	(sqrt.f64 (fabs.f64 (-.f64 x y)))

Rules

80×	`lower-fma.f64`
80×	`lower-fma.f32`
52×	`lower-*.f64`
52×	`lower-*.f32`
34×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	14
0	8	14
1	12	14
2	19	14
3	27	14
4	46	14
5	93	14
6	144	14
7	165	14
8	173	14
0	173	14

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(fabs.f64 (-.f64 x y))
(-.f64 x y)
x
y

Outputs
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(fabs.f64 (-.f64 x y))
(fabs.f64 (-.f64 y x))
(-.f64 x y)
x
y

localize99.0ms (1.6%)

Memory

-8.1MiB live, 27.9MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 x y)
accuracy	0	(fabs.f64 (-.f64 x y))
accuracy	0.0078125	(sqrt.f64 (fabs.f64 (-.f64 x y)))

Samples

11.0ms

256×

valid

Compiler

Compiled 16 to 7 computations (56.3% saved)

Precisions

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

ival-sub: 2.0ms (40.4% of total)

ival-sqrt: 2.0ms (40.4% of total)

ival-fabs: 1.0ms (20.2% of total)

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

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

series3.0ms (0.1%)

Memory

5.7MiB live, 5.7MiB allocated

Counts

3 → 72

Calls

Call 1

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

Inputs

#s(alt (sqrt.f64 (fabs.f64 (-.f64 x y))) (patch (sqrt.f64 (fabs.f64 (-.f64 x y))) #<representation binary64>) () ())

#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())

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

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

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(sqrt (fabs (- x y)))
0.0ms	y	@	inf	(sqrt (fabs (- x y)))
0.0ms	x	@	inf	(sqrt (fabs (- x y)))
0.0ms	x	@	-inf	(sqrt (fabs (- x y)))
0.0ms	y	@	-inf	(sqrt (fabs (- x y)))

simplify188.0ms (3.1%)

Memory

-22.5MiB live, 63.4MiB allocated

Algorithm

1×	egg-herbie

Rules

2 658×	`lower-fma.f64`
2 658×	`lower-fma.f32`
2 540×	`lower-*.f64`
2 540×	`lower-*.f32`
1 964×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	279
1	79	279
2	186	279
3	544	279
4	1600	279
5	2441	279
6	3322	279
7	4909	279
8	5417	279
9	5793	279
10	6314	279
11	6979	279
12	7716	279
0	8093	279

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 69

Calls

Call 1

Inputs
(sqrt (fabs (- x y)))
(sqrt (fabs (- x y)))
(sqrt (fabs (- x y)))
(sqrt (fabs (- x y)))
(sqrt (fabs (- x y)))
(sqrt (fabs (- x y)))
(sqrt (fabs (- x y)))
(sqrt (fabs (- x y)))
(sqrt (fabs (neg (+ y (* -1 x)))))
(sqrt (fabs (neg (+ y (* -1 x)))))
(sqrt (fabs (neg (+ y (* -1 x)))))
(sqrt (fabs (neg (+ y (* -1 x)))))
(sqrt (fabs (- x y)))
(sqrt (fabs (- x y)))
(sqrt (fabs (- x y)))
(sqrt (fabs (- x y)))
(sqrt (fabs (- x y)))
(sqrt (fabs (- x y)))
(sqrt (fabs (- x y)))
(sqrt (fabs (- x y)))
(sqrt (fabs (+ x (* -1 y))))
(sqrt (fabs (+ x (* -1 y))))
(sqrt (fabs (+ x (* -1 y))))
(sqrt (fabs (+ x (* -1 y))))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (neg (+ y (* -1 x))))
(fabs (neg (+ y (* -1 x))))
(fabs (neg (+ y (* -1 x))))
(fabs (neg (+ y (* -1 x))))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (+ x (* -1 y)))
(fabs (+ x (* -1 y)))
(fabs (+ x (* -1 y)))
(fabs (+ x (* -1 y)))
(* -1 y)
(- x y)
(- x y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))

Outputs
(sqrt (fabs (- x y)))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(sqrt (fabs (- x y)))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(sqrt (fabs (- x y)))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(sqrt (fabs (- x y)))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(sqrt (fabs (- x y)))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(sqrt (fabs (- x y)))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(sqrt (fabs (- x y)))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(sqrt (fabs (- x y)))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(sqrt (fabs (neg (+ y (* -1 x)))))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(sqrt (fabs (neg (+ y (* -1 x)))))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(sqrt (fabs (neg (+ y (* -1 x)))))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(sqrt (fabs (neg (+ y (* -1 x)))))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(sqrt (fabs (- x y)))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(sqrt (fabs (- x y)))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(sqrt (fabs (- x y)))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(sqrt (fabs (- x y)))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(sqrt (fabs (- x y)))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(sqrt (fabs (- x y)))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(sqrt (fabs (- x y)))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(sqrt (fabs (- x y)))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(sqrt (fabs (+ x (* -1 y))))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(sqrt (fabs (+ x (* -1 y))))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(sqrt (fabs (+ x (* -1 y))))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(sqrt (fabs (+ x (* -1 y))))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(fabs (neg (+ y (* -1 x))))
(fabs.f64 (-.f64 y x))
(fabs (neg (+ y (* -1 x))))
(fabs.f64 (-.f64 y x))
(fabs (neg (+ y (* -1 x))))
(fabs.f64 (-.f64 y x))
(fabs (neg (+ y (* -1 x))))
(fabs.f64 (-.f64 y x))
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(fabs (+ x (* -1 y)))
(fabs.f64 (-.f64 y x))
(fabs (+ x (* -1 y)))
(fabs.f64 (-.f64 y x))
(fabs (+ x (* -1 y)))
(fabs.f64 (-.f64 y x))
(fabs (+ x (* -1 y)))
(fabs.f64 (-.f64 y x))
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
x
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
x
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(* -1 y)
(neg.f64 y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)

rewrite469.0ms (7.7%)

Memory

0.3MiB live, 231.6MiB allocated

Rules

4 642×	`lower-/.f64`
4 642×	`lower-/.f32`
4 306×	`lower-fma.f64`
4 306×	`lower-fma.f32`
3 256×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	12
0	8	12
1	29	12
2	181	12
3	1675	12
0	8378	12

Stop Event

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

Counts

3 → 322

Calls

Call 1

Inputs
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(fabs.f64 (-.f64 x y))
(-.f64 x y)

Outputs
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fabs.f64 (-.f64 y x))))
(.f64 (sqrt.f64 (fabs.f64 (.f64 (+.f64 y x) (-.f64 x y)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (+.f64 y x)))))
(.f64 (sqrt.f64 (fabs.f64 (.f64 (+.f64 y x) (-.f64 x y)))) (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)))))
(.f64 (sqrt.f64 (fabs.f64 (.f64 (+.f64 y x) (-.f64 x y)))) (pow.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (fabs.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))))
(.f64 (sqrt.f64 (fabs.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x)))) (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) y (*.f64 x x))))))
(.f64 (sqrt.f64 (fabs.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x)))) (pow.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) y (*.f64 x x)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/4 binary64)) (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/4 binary64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (-.f64 y x))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (fabs.f64 (-.f64 y x))))
(pow.f64 (*.f64 (-.f64 y x) (-.f64 y x)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 y x) (-.f64 x y))))) (neg.f64 (sqrt.f64 (fabs.f64 (+.f64 y x)))))
(/.f64 (neg.f64 (sqrt.f64 (fabs.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x))))) (neg.f64 (sqrt.f64 (fabs.f64 (fma.f64 (+.f64 y x) y (.f64 x x))))))
(/.f64 (sqrt.f64 (neg.f64 (fabs.f64 (*.f64 (+.f64 y x) (-.f64 x y))))) (sqrt.f64 (neg.f64 (fabs.f64 (+.f64 y x)))))
(/.f64 (sqrt.f64 (neg.f64 (fabs.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x))))) (sqrt.f64 (neg.f64 (fabs.f64 (fma.f64 (+.f64 y x) y (.f64 x x))))))
(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 y x) (-.f64 x y)))) (sqrt.f64 (fabs.f64 (+.f64 y x))))
(/.f64 (sqrt.f64 (fabs.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x)))) (sqrt.f64 (fabs.f64 (fma.f64 (+.f64 y x) y (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fabs.f64 (+.f64 y x))) (sqrt.f64 (fabs.f64 (*.f64 (+.f64 y x) (-.f64 x y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fabs.f64 (fma.f64 (+.f64 y x) y (.f64 x x)))) (sqrt.f64 (fabs.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(exp.f64 (fma.f64 (log.f64 (fabs.f64 (-.f64 y x))) #s(literal 1/4 binary64) (*.f64 (log.f64 (fabs.f64 (-.f64 y x))) #s(literal 1/4 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (fabs.f64 (-.f64 y x))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (-.f64 y x) (-.f64 y x))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (fabs.f64 (-.f64 y x))) #s(literal 1/2 binary64)))
(.f64 (fabs.f64 (/.f64 (.f64 (+.f64 y x) (-.f64 x y)) (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x)))) (fabs.f64 (fma.f64 y (-.f64 y x) (.f64 x x))))
(.f64 (fabs.f64 (/.f64 (.f64 (+.f64 y x) (-.f64 y x)) (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x)))) (fabs.f64 (fma.f64 y (-.f64 y x) (.f64 x x))))
(.f64 (fabs.f64 (/.f64 (.f64 (+.f64 y x) (-.f64 y x)) (*.f64 (+.f64 y x) (-.f64 x y)))) (fabs.f64 (-.f64 y x)))
(.f64 (fabs.f64 (/.f64 (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (-.f64 y x)) (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (-.f64 (.f64 x x) (.f64 (+.f64 y x) y))))) (fabs.f64 (-.f64 (.f64 (+.f64 y x) y) (*.f64 x x))))
(.f64 (fabs.f64 (/.f64 (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (-.f64 y x)) (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) x)) x (.f64 (.f64 (.f64 (+.f64 y x) y) (.f64 (+.f64 y x) y)) (.f64 (+.f64 y x) y))))) (fabs.f64 (fma.f64 (.f64 (+.f64 y x) y) (-.f64 (.f64 (+.f64 y x) y) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x)))))
(.f64 (fabs.f64 (/.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x)) (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (-.f64 (.f64 x x) (.f64 (+.f64 y x) y))))) (fabs.f64 (-.f64 (.f64 (+.f64 y x) y) (.f64 x x))))
(.f64 (fabs.f64 (/.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x)) (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) x)) x (.f64 (.f64 (.f64 (+.f64 y x) y) (.f64 (+.f64 y x) y)) (.f64 (+.f64 y x) y))))) (fabs.f64 (fma.f64 (.f64 (+.f64 y x) y) (-.f64 (.f64 (+.f64 y x) y) (.f64 x x)) (.f64 (.f64 x x) (*.f64 x x)))))
(.f64 (fabs.f64 (/.f64 (.f64 (+.f64 y x) (-.f64 y x)) (*.f64 (+.f64 y x) (-.f64 y x)))) (fabs.f64 (-.f64 y x)))
(.f64 (neg.f64 (fabs.f64 (.f64 (+.f64 y x) (-.f64 x y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 (+.f64 y x)))))
(.f64 (neg.f64 (fabs.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))))
(.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x))) (fabs.f64 (.f64 (+.f64 y x) (-.f64 x y))))
(.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) y (.f64 x x)))) (fabs.f64 (fma.f64 (.f64 y y) y (.f64 (*.f64 x x) x))))
(*.f64 #s(literal 1 binary64) (fabs.f64 (-.f64 y x)))
(*.f64 (fabs.f64 (+.f64 y x)) (fabs.f64 (/.f64 (-.f64 x y) (neg.f64 (+.f64 y x)))))
(*.f64 (fabs.f64 (+.f64 y x)) (fabs.f64 (/.f64 (-.f64 x y) (+.f64 y x))))
(.f64 (fabs.f64 (.f64 (+.f64 y x) (-.f64 x y))) (fabs.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x)))))
(.f64 (fabs.f64 (.f64 (+.f64 y x) (-.f64 x y))) (fabs.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x))))
(.f64 (fabs.f64 (fma.f64 (+.f64 y x) y (.f64 x x))) (fabs.f64 (/.f64 (-.f64 x y) (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))))
(.f64 (fabs.f64 (fma.f64 (+.f64 y x) y (.f64 x x))) (fabs.f64 (/.f64 (-.f64 x y) (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(.f64 (fabs.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x))) (fabs.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))))
(.f64 (fabs.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x))) (fabs.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1 binary64))
(pow.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (fabs.f64 (*.f64 (+.f64 y x) (-.f64 x y))))) (neg.f64 (neg.f64 (fabs.f64 (+.f64 y x)))))
(/.f64 (neg.f64 (neg.f64 (fabs.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x))))) (neg.f64 (neg.f64 (fabs.f64 (fma.f64 (+.f64 y x) y (.f64 x x))))))
(/.f64 (fabs.f64 (.f64 #s(literal -1 binary64) (.f64 (+.f64 y x) (-.f64 y x)))) (fabs.f64 (+.f64 y x)))
(/.f64 (fabs.f64 (.f64 #s(literal -1 binary64) (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (-.f64 y x)))) (fabs.f64 (fma.f64 (+.f64 y x) y (.f64 x x))))
(/.f64 (fabs.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 y x) (-.f64 y x)))) (fabs.f64 (+.f64 #s(literal 0 binary64) (-.f64 x y))))
(/.f64 (fabs.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 (-.f64 y x) (-.f64 y x)) (-.f64 x y)))) (fabs.f64 (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 y x) (-.f64 y x) (*.f64 #s(literal 0 binary64) (-.f64 x y))))))
(/.f64 (fabs.f64 (/.f64 (.f64 (fma.f64 y y (.f64 x x)) (.f64 (+.f64 y x) (-.f64 x y))) (+.f64 y x))) (fabs.f64 (fma.f64 y y (.f64 x x))))
(/.f64 (fabs.f64 (/.f64 (.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x)) (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x))) (+.f64 y x))) (fabs.f64 (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x x)) (.f64 (.f64 x x) (.f64 x x)))))
(/.f64 (fabs.f64 (/.f64 (.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x)) (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x))) (fma.f64 (+.f64 y x) y (.f64 x x)))) (fabs.f64 (fma.f64 (.f64 y y) y (.f64 (*.f64 x x) x))))
(/.f64 (fabs.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 (.f64 y y) y))) (fma.f64 (+.f64 y x) y (.f64 x x)))) (fabs.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x) (.f64 (.f64 (.f64 y y) y) (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x))))))
(/.f64 (fabs.f64 (.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x)) #s(literal 1 binary64))) (fabs.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))
(/.f64 (fabs.f64 (-.f64 (.f64 (.f64 x (/.f64 x (+.f64 y x))) (.f64 x (/.f64 x (+.f64 y x)))) (.f64 (.f64 y (/.f64 y (+.f64 y x))) (.f64 y (/.f64 y (+.f64 y x)))))) (fabs.f64 (fma.f64 x (/.f64 x (+.f64 y x)) (*.f64 y (/.f64 y (+.f64 y x))))))
(/.f64 (fabs.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (.f64 (.f64 x x) x) (fma.f64 (+.f64 y x) y (.f64 x x)))) (.f64 (/.f64 (.f64 (.f64 y y) y) (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (.f64 (.f64 y y) y) (fma.f64 (+.f64 y x) y (.f64 x x)))))) (fabs.f64 (fma.f64 (.f64 x x) (/.f64 x (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (.f64 (.f64 y y) y) (fma.f64 (+.f64 y x) y (*.f64 x x))))))
(/.f64 (fabs.f64 (-.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (+.f64 y x) (+.f64 y x)) (+.f64 y x))) (/.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 (.f64 (+.f64 y x) (+.f64 y x)) (+.f64 y x))))) (fabs.f64 (fma.f64 (.f64 x (/.f64 x (+.f64 y x))) (.f64 x (/.f64 x (+.f64 y x))) (fma.f64 (.f64 y (/.f64 y (+.f64 y x))) (.f64 y (/.f64 y (+.f64 y x))) (.f64 (.f64 x (/.f64 x (+.f64 y x))) (*.f64 y (/.f64 y (+.f64 y x))))))))
(/.f64 (fabs.f64 (-.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (.f64 (.f64 x x) x) (fma.f64 (+.f64 y x) y (.f64 x x)))) (/.f64 (.f64 (.f64 x x) x) (fma.f64 (+.f64 y x) y (.f64 x x)))) (.f64 (.f64 (/.f64 (.f64 (.f64 y y) y) (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (.f64 (.f64 y y) y) (fma.f64 (+.f64 y x) y (.f64 x x)))) (/.f64 (.f64 (.f64 y y) y) (fma.f64 (+.f64 y x) y (.f64 x x)))))) (fabs.f64 (fma.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (.f64 (.f64 x x) x) (fma.f64 (+.f64 y x) y (.f64 x x))) (fma.f64 (/.f64 (.f64 (.f64 y y) y) (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (.f64 (.f64 y y) y) (fma.f64 (+.f64 y x) y (.f64 x x))) (.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (.f64 (.f64 y y) y) (fma.f64 (+.f64 y x) y (*.f64 x x))))))))
(/.f64 (fabs.f64 (.f64 (.f64 (fma.f64 y y (.f64 x x)) (.f64 (+.f64 y x) (-.f64 x y))) #s(literal 1 binary64))) (fabs.f64 (.f64 (fma.f64 y y (.f64 x x)) (+.f64 y x))))
(/.f64 (fabs.f64 (.f64 (.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x)) (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x))) #s(literal 1 binary64))) (fabs.f64 (.f64 (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))) (+.f64 y x))))
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(-.f64 (/.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (.f64 (.f64 x x) x) (fma.f64 (+.f64 y x) y (.f64 x x)))) (/.f64 (.f64 (.f64 x x) x) (fma.f64 (+.f64 y x) y (.f64 x x)))) (fma.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (.f64 (.f64 x x) x) (fma.f64 (+.f64 y x) y (.f64 x x))) (fma.f64 (/.f64 (.f64 (.f64 y y) y) (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (.f64 (.f64 y y) y) (fma.f64 (+.f64 y x) y (.f64 x x))) (.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (.f64 (.f64 y y) y) (fma.f64 (+.f64 y x) y (.f64 x x))))))) (/.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 y y) y) (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (.f64 (.f64 y y) y) (fma.f64 (+.f64 y x) y (.f64 x x)))) (/.f64 (.f64 (.f64 y y) y) (fma.f64 (+.f64 y x) y (.f64 x x)))) (fma.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (.f64 (.f64 x x) x) (fma.f64 (+.f64 y x) y (.f64 x x))) (fma.f64 (/.f64 (.f64 (.f64 y y) y) (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (.f64 (.f64 y y) y) (fma.f64 (+.f64 y x) y (.f64 x x))) (.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (.f64 (.f64 y y) y) (fma.f64 (+.f64 y x) y (.f64 x x))))))))
(-.f64 (/.f64 (.f64 (.f64 x x) (+.f64 y x)) (.f64 (+.f64 y x) (+.f64 y x))) (/.f64 (.f64 (+.f64 y x) (.f64 y y)) (.f64 (+.f64 y x) (+.f64 y x))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) (fma.f64 (+.f64 y x) y (.f64 x x))) (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (fma.f64 (+.f64 y x) y (.f64 x x)))) (/.f64 (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (.f64 (.f64 y y) y)) (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (fma.f64 (+.f64 y x) y (.f64 x x)))))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (+.f64 y x) (fma.f64 y y (.f64 x x)))) (/.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 (+.f64 y x) (fma.f64 y y (.f64 x x)))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (+.f64 y x) (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 (+.f64 y x) (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x)))) (/.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x)))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x)) (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x) (.f64 (.f64 (.f64 y y) y) (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x)))))) (/.f64 (.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 (.f64 y y) y)) (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x) (.f64 (.f64 (.f64 y y) y) (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 (neg.f64 y) x)) (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 (neg.f64 y) x)))
(-.f64 (/.f64 (.f64 y y) (-.f64 (neg.f64 y) x)) (/.f64 (.f64 x x) (-.f64 (neg.f64 y) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 y x))) (-.f64 y x))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)))) (-.f64 y x))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 y y (.f64 x x))) (neg.f64 (neg.f64 (+.f64 y x)))) (/.f64 (/.f64 (.f64 (.f64 y y) (.f64 y y)) (fma.f64 y y (.f64 x x))) (neg.f64 (neg.f64 (+.f64 y x)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x x)) (.f64 (.f64 x x) (.f64 x x)))) (neg.f64 (neg.f64 (+.f64 y x)))) (/.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x x)) (.f64 (.f64 x x) (.f64 x x)))) (neg.f64 (neg.f64 (+.f64 y x)))))
(-.f64 (/.f64 (.f64 x x) (neg.f64 (neg.f64 (+.f64 y x)))) (.f64 y (/.f64 y (+.f64 y x))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 y y (.f64 x x))) (+.f64 y x)) (/.f64 (/.f64 (.f64 (.f64 y y) (.f64 y y)) (fma.f64 y y (.f64 x x))) (+.f64 y x)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x x)) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 y x)) (/.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x x)) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 y x)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x))) (fma.f64 y y (-.f64 (.f64 x x) (.f64 (neg.f64 y) x)))) (/.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x))) (fma.f64 y y (-.f64 (.f64 x x) (.f64 (neg.f64 y) x)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x) (.f64 (.f64 (.f64 y y) y) (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x))))) (fma.f64 y y (-.f64 (.f64 x x) (.f64 (neg.f64 y) x)))) (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 (.f64 y y) y)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x) (.f64 (.f64 (.f64 y y) y) (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x))))) (fma.f64 y y (-.f64 (.f64 x x) (.f64 (neg.f64 y) x)))))
(-.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 y y (-.f64 (.f64 x x) (.f64 (neg.f64 y) x)))) (/.f64 (.f64 (.f64 y y) y) (fma.f64 y y (-.f64 (.f64 x x) (.f64 (neg.f64 y) x)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) y (.f64 x x))))) (/.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) y (.f64 x x))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x) (.f64 (.f64 (.f64 y y) y) (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) y (.f64 x x))))) (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 (.f64 y y) y)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x) (.f64 (.f64 (.f64 y y) y) (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) y (.f64 x x))))))
(-.f64 (/.f64 (.f64 (.f64 x x) x) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) y (.f64 x x))))) (/.f64 (.f64 (.f64 y y) y) (fma.f64 (+.f64 y x) y (.f64 x x))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x))) (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x))) (fma.f64 (+.f64 y x) y (.f64 x x))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x) (.f64 (.f64 (.f64 y y) y) (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x))))) (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 (.f64 y y) y)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x) (.f64 (.f64 (.f64 y y) y) (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x))))) (fma.f64 (+.f64 y x) y (.f64 x x))))
(-.f64 (+.f64 x #s(literal 0 binary64)) y)
(-.f64 (/.f64 (.f64 y y) (neg.f64 (+.f64 y x))) (/.f64 (.f64 x x) (neg.f64 (+.f64 y x))))
(-.f64 #s(literal 0 binary64) (-.f64 y x))
(-.f64 (.f64 x (/.f64 x (+.f64 y x))) (.f64 y (/.f64 y (+.f64 y x))))
(-.f64 (/.f64 (.f64 (.f64 y y) y) (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (.f64 (.f64 x x) x) (neg.f64 (fma.f64 (+.f64 y x) y (.f64 x x)))))
(-.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (.f64 (.f64 y y) y) (fma.f64 (+.f64 y x) y (.f64 x x))))
(-.f64 x y)
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x))) #s(literal -1 binary64)))
(+.f64 (neg.f64 (neg.f64 x)) (neg.f64 y))
(+.f64 (.f64 x (/.f64 x (+.f64 y x))) (neg.f64 (.f64 y (/.f64 y (+.f64 y x)))))
(+.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 (+.f64 y x) y (.f64 x x))) (neg.f64 (/.f64 (.f64 (.f64 y y) y) (fma.f64 (+.f64 y x) y (.f64 x x)))))
(+.f64 (neg.f64 y) (neg.f64 (neg.f64 x)))
(+.f64 (neg.f64 y) x)
(+.f64 x (neg.f64 y))

eval119.0ms (2%)

Memory: -13.3MiB live, 114.3MiB allocated
Compiler: Compiled 12 615 to 1 388 computations (89% saved)

prune97.0ms (1.6%)

Memory

7.5MiB live, 129.0MiB allocated

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	388	3	391
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	388	4	392

Accuracy

100.0%

Counts

392 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))))
▶	48.7%	(.f64 (sqrt.f64 (fabs.f64 (.f64 (+.f64 y x) (-.f64 x y)))) (pow.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x))) #s(literal 1/2 binary64)))
✓	100.0%	(sqrt.f64 (fabs.f64 (-.f64 x y)))
▶	52.6%	(sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))))

Compiler

Compiled 45 to 31 computations (31.1% saved)

simplify720.0ms (11.8%)

Memory

-140.9MiB live, 377.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 y x))
cost-diff	0	(fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))
cost-diff	0	(sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))))
cost-diff	0	(/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))))
cost-diff	0	(fabs.f64 (*.f64 (+.f64 y x) (-.f64 x y)))
cost-diff	0	(sqrt.f64 (fabs.f64 (*.f64 (+.f64 y x) (-.f64 x y))))
cost-diff	0	(.f64 (sqrt.f64 (fabs.f64 (.f64 (+.f64 y x) (-.f64 x y)))) (pow.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x))) #s(literal 1/2 binary64)))
cost-diff	5824	(pow.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x))) #s(literal 1/2 binary64))
cost-diff	0	(neg.f64 y)
cost-diff	0	#s(approx (- x y) (neg.f64 y))
cost-diff	0	(fabs.f64 #s(approx (- x y) (neg.f64 y)))
cost-diff	0	(sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))))

Rules

37 808×	`lower-fma.f64`
37 808×	`lower-fma.f32`
8 756×	`lower-+.f32`
8 754×	`lower-+.f64`
3 272×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	128
0	40	126
1	59	126
2	83	126
3	138	126
4	318	126
5	543	126
6	933	126
7	1567	126
8	2608	126
9	3328	126
10	3494	126
11	3533	126
12	3571	126
13	3571	126
14	3575	126
15	3575	126
0	8662	126

Stop Event

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

Calls

Call 1

Inputs
(sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))))
(fabs.f64 #s(approx (- x y) (neg.f64 y)))
#s(approx (- x y) (neg.f64 y))
(neg.f64 y)
y
(.f64 (sqrt.f64 (fabs.f64 (.f64 (+.f64 y x) (-.f64 x y)))) (pow.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x))) #s(literal 1/2 binary64)))
(sqrt.f64 (fabs.f64 (*.f64 (+.f64 y x) (-.f64 x y))))
(fabs.f64 (*.f64 (+.f64 y x) (-.f64 x y)))
(*.f64 (+.f64 y x) (-.f64 x y))
(+.f64 y x)
y
x
(-.f64 x y)
(pow.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x))) #s(literal 1/2 binary64))
(fabs.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(/.f64 #s(literal 1 binary64) (+.f64 y x))
#s(literal 1 binary64)
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))))
#s(literal 1 binary64)
(sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))))
(fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(/.f64 #s(literal 1 binary64) (-.f64 y x))
(-.f64 y x)
y
x

Outputs
(sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))))
(fabs.f64 #s(approx (- x y) (neg.f64 y)))
#s(approx (- x y) (neg.f64 y))
(neg.f64 y)
y
(.f64 (sqrt.f64 (fabs.f64 (.f64 (+.f64 y x) (-.f64 x y)))) (pow.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)))) (sqrt.f64 (fabs.f64 (.f64 (-.f64 x y) (+.f64 y x)))))
(sqrt.f64 (fabs.f64 (*.f64 (+.f64 y x) (-.f64 x y))))
(sqrt.f64 (fabs.f64 (*.f64 (-.f64 x y) (+.f64 y x))))
(fabs.f64 (*.f64 (+.f64 y x) (-.f64 x y)))
(fabs.f64 (*.f64 (-.f64 x y) (+.f64 y x)))
(*.f64 (+.f64 y x) (-.f64 x y))
(*.f64 (-.f64 x y) (+.f64 y x))
(+.f64 y x)
y
x
(-.f64 x y)
(pow.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x))) #s(literal 1/2 binary64))
(sqrt.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x))))
(fabs.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(fabs.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)))
(/.f64 #s(literal 1 binary64) (+.f64 y x))
#s(literal 1 binary64)
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x)))))
#s(literal 1 binary64)
(sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))))
(sqrt.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x))))
(fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(fabs.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x)))
(/.f64 #s(literal 1 binary64) (-.f64 y x))
(/.f64 #s(literal -1 binary64) (-.f64 x y))
(-.f64 y x)
y
x

localize94.0ms (1.5%)

Memory

-2.5MiB live, 151.2MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0	(fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))
accuracy	0.015625	(/.f64 #s(literal 1 binary64) (-.f64 y x))
accuracy	0.14453125	(sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))))
accuracy	0.28515625	(/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))))
accuracy	0.01171875	(/.f64 #s(literal 1 binary64) (+.f64 y x))
accuracy	0.1328125	(pow.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x))) #s(literal 1/2 binary64))
accuracy	0.2578125	(.f64 (sqrt.f64 (fabs.f64 (.f64 (+.f64 y x) (-.f64 x y)))) (pow.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x))) #s(literal 1/2 binary64)))
accuracy	31.854486276272915	(sqrt.f64 (fabs.f64 (*.f64 (+.f64 y x) (-.f64 x y))))
accuracy	0	(neg.f64 y)
accuracy	0	(fabs.f64 #s(approx (- x y) (neg.f64 y)))
accuracy	0.0078125	(sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))))
accuracy	31.323444174720592	#s(approx (- x y) (neg.f64 y))

Samples

45.0ms

256×

valid

Compiler

Compiled 121 to 23 computations (81% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-sqrt: 6.0ms (22% of total)

ival-div: 5.0ms (18.3% of total)

ival-fabs: 5.0ms (18.3% of total)

ival-sub: 5.0ms (18.3% of total)

ival-mult: 3.0ms (11% of total)

ival-add: 1.0ms (3.7% of total)

ival-neg: 1.0ms (3.7% of total)

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

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

exact: 0.0ms (0% of total)

series30.0ms (0.5%)

Memory

-6.7MiB live, 78.2MiB allocated

Counts

13 → 300

Calls

Call 1

Inputs
#s(alt (sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y)))) (patch (sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y)))) #<representation binary64>) () ())
#s(alt (fabs.f64 #s(approx (- x y) (neg.f64 y))) (patch (fabs.f64 #s(approx (- x y) (neg.f64 y))) #<representation binary64>) () ())
#s(alt #s(approx (- x y) (neg.f64 y)) (patch #s(approx (- x y) (neg.f64 y)) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt (pow.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x))) #s(literal 1/2 binary64)) (patch (pow.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x))) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 (fabs.f64 (.f64 (+.f64 y x) (-.f64 x y)))) (pow.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x))) #s(literal 1/2 binary64))) (patch (.f64 (sqrt.f64 (fabs.f64 (.f64 (+.f64 y x) (-.f64 x y)))) (pow.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x))) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fabs.f64 (.f64 (+.f64 y x) (-.f64 x y)))) (patch (sqrt.f64 (fabs.f64 (.f64 (+.f64 y x) (-.f64 x y)))) #<representation binary64>) () ())
#s(alt (fabs.f64 (.f64 (+.f64 y x) (-.f64 x y))) (patch (fabs.f64 (.f64 (+.f64 y x) (-.f64 x y))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))))) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))) (patch (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))) #<representation binary64>) () ())
#s(alt (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))) (patch (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (-.f64 y x)) (patch (/.f64 #s(literal 1 binary64) (-.f64 y x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (+.f64 y x)) (patch (/.f64 #s(literal 1 binary64) (+.f64 y x)) #<representation binary64>) () ())

Outputs
#s(alt (sqrt (fabs (- x y))) (taylor 0 x) (#s(alt (sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y)))) (patch (sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (- x y))) (taylor 0 x) (#s(alt (sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y)))) (patch (sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (- x y))) (taylor 0 x) (#s(alt (sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y)))) (patch (sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (- x y))) (taylor 0 x) (#s(alt (sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y)))) (patch (sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (- x y))) (taylor inf x) (#s(alt (sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y)))) (patch (sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (- x y))) (taylor inf x) (#s(alt (sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y)))) (patch (sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (- x y))) (taylor inf x) (#s(alt (sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y)))) (patch (sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (- x y))) (taylor inf x) (#s(alt (sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y)))) (patch (sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (neg (+ y (* -1 x))))) (taylor -inf x) (#s(alt (sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y)))) (patch (sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (neg (+ y (* -1 x))))) (taylor -inf x) (#s(alt (sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y)))) (patch (sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (neg (+ y (* -1 x))))) (taylor -inf x) (#s(alt (sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y)))) (patch (sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (neg (+ y (* -1 x))))) (taylor -inf x) (#s(alt (sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y)))) (patch (sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (- x y))) (taylor 0 y) (#s(alt (sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y)))) (patch (sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (- x y))) (taylor 0 y) (#s(alt (sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y)))) (patch (sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (- x y))) (taylor 0 y) (#s(alt (sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y)))) (patch (sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (- x y))) (taylor 0 y) (#s(alt (sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y)))) (patch (sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (- x y))) (taylor inf y) (#s(alt (sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y)))) (patch (sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (- x y))) (taylor inf y) (#s(alt (sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y)))) (patch (sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (- x y))) (taylor inf y) (#s(alt (sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y)))) (patch (sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (- x y))) (taylor inf y) (#s(alt (sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y)))) (patch (sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (+ x (* -1 y)))) (taylor -inf y) (#s(alt (sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y)))) (patch (sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (+ x (* -1 y)))) (taylor -inf y) (#s(alt (sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y)))) (patch (sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (+ x (* -1 y)))) (taylor -inf y) (#s(alt (sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y)))) (patch (sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (+ x (* -1 y)))) (taylor -inf y) (#s(alt (sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y)))) (patch (sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (fabs (- x y)) (taylor 0 x) (#s(alt (fabs.f64 #s(approx (- x y) (neg.f64 y))) (patch (fabs.f64 #s(approx (- x y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (fabs (- x y)) (taylor 0 x) (#s(alt (fabs.f64 #s(approx (- x y) (neg.f64 y))) (patch (fabs.f64 #s(approx (- x y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (fabs (- x y)) (taylor 0 x) (#s(alt (fabs.f64 #s(approx (- x y) (neg.f64 y))) (patch (fabs.f64 #s(approx (- x y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (fabs (- x y)) (taylor 0 x) (#s(alt (fabs.f64 #s(approx (- x y) (neg.f64 y))) (patch (fabs.f64 #s(approx (- x y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (fabs (- x y)) (taylor inf x) (#s(alt (fabs.f64 #s(approx (- x y) (neg.f64 y))) (patch (fabs.f64 #s(approx (- x y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (fabs (- x y)) (taylor inf x) (#s(alt (fabs.f64 #s(approx (- x y) (neg.f64 y))) (patch (fabs.f64 #s(approx (- x y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (fabs (- x y)) (taylor inf x) (#s(alt (fabs.f64 #s(approx (- x y) (neg.f64 y))) (patch (fabs.f64 #s(approx (- x y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (fabs (- x y)) (taylor inf x) (#s(alt (fabs.f64 #s(approx (- x y) (neg.f64 y))) (patch (fabs.f64 #s(approx (- x y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (fabs (neg (+ y (* -1 x)))) (taylor -inf x) (#s(alt (fabs.f64 #s(approx (- x y) (neg.f64 y))) (patch (fabs.f64 #s(approx (- x y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (fabs (neg (+ y (* -1 x)))) (taylor -inf x) (#s(alt (fabs.f64 #s(approx (- x y) (neg.f64 y))) (patch (fabs.f64 #s(approx (- x y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (fabs (neg (+ y (* -1 x)))) (taylor -inf x) (#s(alt (fabs.f64 #s(approx (- x y) (neg.f64 y))) (patch (fabs.f64 #s(approx (- x y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (fabs (neg (+ y (* -1 x)))) (taylor -inf x) (#s(alt (fabs.f64 #s(approx (- x y) (neg.f64 y))) (patch (fabs.f64 #s(approx (- x y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (fabs (- x y)) (taylor 0 y) (#s(alt (fabs.f64 #s(approx (- x y) (neg.f64 y))) (patch (fabs.f64 #s(approx (- x y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (fabs (- x y)) (taylor 0 y) (#s(alt (fabs.f64 #s(approx (- x y) (neg.f64 y))) (patch (fabs.f64 #s(approx (- x y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (fabs (- x y)) (taylor 0 y) (#s(alt (fabs.f64 #s(approx (- x y) (neg.f64 y))) (patch (fabs.f64 #s(approx (- x y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (fabs (- x y)) (taylor 0 y) (#s(alt (fabs.f64 #s(approx (- x y) (neg.f64 y))) (patch (fabs.f64 #s(approx (- x y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (fabs (- x y)) (taylor inf y) (#s(alt (fabs.f64 #s(approx (- x y) (neg.f64 y))) (patch (fabs.f64 #s(approx (- x y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (fabs (- x y)) (taylor inf y) (#s(alt (fabs.f64 #s(approx (- x y) (neg.f64 y))) (patch (fabs.f64 #s(approx (- x y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (fabs (- x y)) (taylor inf y) (#s(alt (fabs.f64 #s(approx (- x y) (neg.f64 y))) (patch (fabs.f64 #s(approx (- x y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (fabs (- x y)) (taylor inf y) (#s(alt (fabs.f64 #s(approx (- x y) (neg.f64 y))) (patch (fabs.f64 #s(approx (- x y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (fabs (+ x (* -1 y))) (taylor -inf y) (#s(alt (fabs.f64 #s(approx (- x y) (neg.f64 y))) (patch (fabs.f64 #s(approx (- x y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (fabs (+ x (* -1 y))) (taylor -inf y) (#s(alt (fabs.f64 #s(approx (- x y) (neg.f64 y))) (patch (fabs.f64 #s(approx (- x y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (fabs (+ x (* -1 y))) (taylor -inf y) (#s(alt (fabs.f64 #s(approx (- x y) (neg.f64 y))) (patch (fabs.f64 #s(approx (- x y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (fabs (+ x (* -1 y))) (taylor -inf y) (#s(alt (fabs.f64 #s(approx (- x y) (neg.f64 y))) (patch (fabs.f64 #s(approx (- x y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 x) (#s(alt #s(approx (- x y) (neg.f64 y)) (patch #s(approx (- x y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (- x y) (taylor 0 x) (#s(alt #s(approx (- x y) (neg.f64 y)) (patch #s(approx (- x y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (- x y) (taylor 0 x) (#s(alt #s(approx (- x y) (neg.f64 y)) (patch #s(approx (- x y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (- x y) (taylor 0 x) (#s(alt #s(approx (- x y) (neg.f64 y)) (patch #s(approx (- x y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt #s(approx (- x y) (neg.f64 y)) (patch #s(approx (- x y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt #s(approx (- x y) (neg.f64 y)) (patch #s(approx (- x y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt #s(approx (- x y) (neg.f64 y)) (patch #s(approx (- x y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt #s(approx (- x y) (neg.f64 y)) (patch #s(approx (- x y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (- x y) (neg.f64 y)) (patch #s(approx (- x y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt #s(approx (- x y) (neg.f64 y)) (patch #s(approx (- x y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt #s(approx (- x y) (neg.f64 y)) (patch #s(approx (- x y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt #s(approx (- x y) (neg.f64 y)) (patch #s(approx (- x y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt #s(approx (- x y) (neg.f64 y)) (patch #s(approx (- x y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt #s(approx (- x y) (neg.f64 y)) (patch #s(approx (- x y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt #s(approx (- x y) (neg.f64 y)) (patch #s(approx (- x y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt #s(approx (- x y) (neg.f64 y)) (patch #s(approx (- x y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt #s(approx (- x y) (neg.f64 y)) (patch #s(approx (- x y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt #s(approx (- x y) (neg.f64 y)) (patch #s(approx (- x y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt #s(approx (- x y) (neg.f64 y)) (patch #s(approx (- x y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt #s(approx (- x y) (neg.f64 y)) (patch #s(approx (- x y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt #s(approx (- x y) (neg.f64 y)) (patch #s(approx (- x y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt #s(approx (- x y) (neg.f64 y)) (patch #s(approx (- x y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt #s(approx (- x y) (neg.f64 y)) (patch #s(approx (- x y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt #s(approx (- x y) (neg.f64 y)) (patch #s(approx (- x y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ (- (* -1 (/ (- (/ (pow y 2) x) y) x)) 1) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 y x)) (patch (/.f64 #s(literal 1 binary64) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x)) y) x)) 1) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 y x)) (patch (/.f64 #s(literal 1 binary64) (+.f64 y x)) #<representation binary64>) () ())) ())

Calls

75 calls:

Time	Variable		Point	Expression
3.0ms	y	@	inf	(sqrt (fabs (* (+ y x) (- x y))))
2.0ms	y	@	inf	(/ 1 (sqrt (fabs (/ 1 (- y x)))))
1.0ms	x	@	inf	(pow (fabs (/ 1 (+ y x))) 1/2)
1.0ms	x	@	-inf	(/ 1 (sqrt (fabs (/ 1 (- y x)))))
1.0ms	y	@	-inf	(/ 1 (sqrt (fabs (/ 1 (- y x)))))

simplify143.0ms (2.4%)

Memory

1.2MiB live, 264.8MiB allocated

Algorithm

1×	egg-herbie

Rules

11 236×	`lower-fma.f64`
11 236×	`lower-fma.f32`
2 912×	`lower-*.f64`
2 912×	`lower-*.f32`
2 256×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	254	2071
1	697	2026
2	1799	1951
3	6243	1951
0	8164	1926

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 297

Calls

Call 1

Inputs
(sqrt (fabs (- x y)))
(sqrt (fabs (- x y)))
(sqrt (fabs (- x y)))
(sqrt (fabs (- x y)))
(sqrt (fabs (- x y)))
(sqrt (fabs (- x y)))
(sqrt (fabs (- x y)))
(sqrt (fabs (- x y)))
(sqrt (fabs (neg (+ y (* -1 x)))))
(sqrt (fabs (neg (+ y (* -1 x)))))
(sqrt (fabs (neg (+ y (* -1 x)))))
(sqrt (fabs (neg (+ y (* -1 x)))))
(sqrt (fabs (- x y)))
(sqrt (fabs (- x y)))
(sqrt (fabs (- x y)))
(sqrt (fabs (- x y)))
(sqrt (fabs (- x y)))
(sqrt (fabs (- x y)))
(sqrt (fabs (- x y)))
(sqrt (fabs (- x y)))
(sqrt (fabs (+ x (* -1 y))))
(sqrt (fabs (+ x (* -1 y))))
(sqrt (fabs (+ x (* -1 y))))
(sqrt (fabs (+ x (* -1 y))))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (neg (+ y (* -1 x))))
(fabs (neg (+ y (* -1 x))))
(fabs (neg (+ y (* -1 x))))
(fabs (neg (+ y (* -1 x))))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (+ x (* -1 y)))
(fabs (+ x (* -1 y)))
(fabs (+ x (* -1 y)))
(fabs (+ x (* -1 y)))
(* -1 y)
(- x y)
(- x y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(sqrt (fabs (/ 1 (+ x y))))
(sqrt (fabs (/ 1 (+ x y))))
(sqrt (fabs (/ 1 (+ x y))))
(sqrt (fabs (/ 1 (+ x y))))
(sqrt (fabs (/ 1 (+ x y))))
(sqrt (fabs (/ 1 (+ x y))))
(sqrt (fabs (/ 1 (+ x y))))
(sqrt (fabs (/ 1 (+ x y))))
(sqrt (fabs (/ 1 (- x (* -1 y)))))
(sqrt (fabs (/ 1 (- x (* -1 y)))))
(sqrt (fabs (/ 1 (- x (* -1 y)))))
(sqrt (fabs (/ 1 (- x (* -1 y)))))
(sqrt (fabs (/ 1 (+ x y))))
(sqrt (fabs (/ 1 (+ x y))))
(sqrt (fabs (/ 1 (+ x y))))
(sqrt (fabs (/ 1 (+ x y))))
(sqrt (fabs (/ 1 (+ x y))))
(sqrt (fabs (/ 1 (+ x y))))
(sqrt (fabs (/ 1 (+ x y))))
(sqrt (fabs (/ 1 (+ x y))))
(sqrt (fabs (/ 1 (- y (* -1 x)))))
(sqrt (fabs (/ 1 (- y (* -1 x)))))
(sqrt (fabs (/ 1 (- y (* -1 x)))))
(sqrt (fabs (/ 1 (- y (* -1 x)))))
(sqrt (* (fabs (* (+ x y) (- x y))) (fabs (/ 1 (+ x y)))))
(sqrt (* (fabs (* (+ x y) (- x y))) (fabs (/ 1 (+ x y)))))
(sqrt (* (fabs (* (+ x y) (- x y))) (fabs (/ 1 (+ x y)))))
(sqrt (* (fabs (* (+ x y) (- x y))) (fabs (/ 1 (+ x y)))))
(sqrt (* (fabs (* (+ x y) (- x y))) (fabs (/ 1 (+ x y)))))
(sqrt (* (fabs (* (+ x y) (- x y))) (fabs (/ 1 (+ x y)))))
(sqrt (* (fabs (* (+ x y) (- x y))) (fabs (/ 1 (+ x y)))))
(sqrt (* (fabs (* (+ x y) (- x y))) (fabs (/ 1 (+ x y)))))
(sqrt (* (fabs (* (+ x (* -1 y)) (- x (* -1 y)))) (fabs (/ 1 (- x (* -1 y))))))
(sqrt (* (fabs (* (+ x (* -1 y)) (- x (* -1 y)))) (fabs (/ 1 (- x (* -1 y))))))
(sqrt (* (fabs (* (+ x (* -1 y)) (- x (* -1 y)))) (fabs (/ 1 (- x (* -1 y))))))
(sqrt (* (fabs (* (+ x (* -1 y)) (- x (* -1 y)))) (fabs (/ 1 (- x (* -1 y))))))
(sqrt (* (fabs (* (+ x y) (- x y))) (fabs (/ 1 (+ x y)))))
(sqrt (* (fabs (* (+ x y) (- x y))) (fabs (/ 1 (+ x y)))))
(sqrt (* (fabs (* (+ x y) (- x y))) (fabs (/ 1 (+ x y)))))
(sqrt (* (fabs (* (+ x y) (- x y))) (fabs (/ 1 (+ x y)))))
(sqrt (* (fabs (* (+ x y) (- x y))) (fabs (/ 1 (+ x y)))))
(sqrt (* (fabs (* (+ x y) (- x y))) (fabs (/ 1 (+ x y)))))
(sqrt (* (fabs (* (+ x y) (- x y))) (fabs (/ 1 (+ x y)))))
(sqrt (* (fabs (* (+ x y) (- x y))) (fabs (/ 1 (+ x y)))))
(sqrt (* (fabs (* -1 (* (+ y (* -1 x)) (- y (* -1 x))))) (fabs (/ 1 (- y (* -1 x))))))
(sqrt (* (fabs (* -1 (* (+ y (* -1 x)) (- y (* -1 x))))) (fabs (/ 1 (- y (* -1 x))))))
(sqrt (* (fabs (* -1 (* (+ y (* -1 x)) (- y (* -1 x))))) (fabs (/ 1 (- y (* -1 x))))))
(sqrt (* (fabs (* -1 (* (+ y (* -1 x)) (- y (* -1 x))))) (fabs (/ 1 (- y (* -1 x))))))
(sqrt (fabs (* (+ x y) (- x y))))
(sqrt (fabs (* (+ x y) (- x y))))
(sqrt (fabs (* (+ x y) (- x y))))
(sqrt (fabs (* (+ x y) (- x y))))
(sqrt (fabs (* (+ x y) (- x y))))
(sqrt (fabs (* (+ x y) (- x y))))
(sqrt (fabs (* (+ x y) (- x y))))
(sqrt (fabs (* (+ x y) (- x y))))
(sqrt (fabs (* (+ x (* -1 y)) (- x (* -1 y)))))
(sqrt (fabs (* (+ x (* -1 y)) (- x (* -1 y)))))
(sqrt (fabs (* (+ x (* -1 y)) (- x (* -1 y)))))
(sqrt (fabs (* (+ x (* -1 y)) (- x (* -1 y)))))
(sqrt (fabs (* (+ x y) (- x y))))
(sqrt (fabs (* (+ x y) (- x y))))
(sqrt (fabs (* (+ x y) (- x y))))
(sqrt (fabs (* (+ x y) (- x y))))
(sqrt (fabs (* (+ x y) (- x y))))
(sqrt (fabs (* (+ x y) (- x y))))
(sqrt (fabs (* (+ x y) (- x y))))
(sqrt (fabs (* (+ x y) (- x y))))
(sqrt (fabs (* -1 (* (+ y (* -1 x)) (- y (* -1 x))))))
(sqrt (fabs (* -1 (* (+ y (* -1 x)) (- y (* -1 x))))))
(sqrt (fabs (* -1 (* (+ y (* -1 x)) (- y (* -1 x))))))
(sqrt (fabs (* -1 (* (+ y (* -1 x)) (- y (* -1 x))))))
(fabs (* (+ x y) (- x y)))
(fabs (* (+ x y) (- x y)))
(fabs (* (+ x y) (- x y)))
(fabs (* (+ x y) (- x y)))
(fabs (* (+ x y) (- x y)))
(fabs (* (+ x y) (- x y)))
(fabs (* (+ x y) (- x y)))
(fabs (* (+ x y) (- x y)))
(fabs (* (+ x (* -1 y)) (- x (* -1 y))))
(fabs (* (+ x (* -1 y)) (- x (* -1 y))))
(fabs (* (+ x (* -1 y)) (- x (* -1 y))))
(fabs (* (+ x (* -1 y)) (- x (* -1 y))))
(fabs (* (+ x y) (- x y)))
(fabs (* (+ x y) (- x y)))
(fabs (* (+ x y) (- x y)))
(fabs (* (+ x y) (- x y)))
(fabs (* (+ x y) (- x y)))
(fabs (* (+ x y) (- x y)))
(fabs (* (+ x y) (- x y)))
(fabs (* (+ x y) (- x y)))
(fabs (* -1 (* (+ y (* -1 x)) (- y (* -1 x)))))
(fabs (* -1 (* (+ y (* -1 x)) (- y (* -1 x)))))
(fabs (* -1 (* (+ y (* -1 x)) (- y (* -1 x)))))
(fabs (* -1 (* (+ y (* -1 x)) (- y (* -1 x)))))
(sqrt (/ 1 (fabs (/ 1 (- y x)))))
(sqrt (/ 1 (fabs (/ 1 (- y x)))))
(sqrt (/ 1 (fabs (/ 1 (- y x)))))
(sqrt (/ 1 (fabs (/ 1 (- y x)))))
(sqrt (/ 1 (fabs (/ 1 (- y x)))))
(sqrt (/ 1 (fabs (/ 1 (- y x)))))
(sqrt (/ 1 (fabs (/ 1 (- y x)))))
(sqrt (/ 1 (fabs (/ 1 (- y x)))))
(sqrt (/ 1 (fabs (/ -1 (+ x (* -1 y))))))
(sqrt (/ 1 (fabs (/ -1 (+ x (* -1 y))))))
(sqrt (/ 1 (fabs (/ -1 (+ x (* -1 y))))))
(sqrt (/ 1 (fabs (/ -1 (+ x (* -1 y))))))
(sqrt (/ 1 (fabs (/ 1 (- y x)))))
(sqrt (/ 1 (fabs (/ 1 (- y x)))))
(sqrt (/ 1 (fabs (/ 1 (- y x)))))
(sqrt (/ 1 (fabs (/ 1 (- y x)))))
(sqrt (/ 1 (fabs (/ 1 (- y x)))))
(sqrt (/ 1 (fabs (/ 1 (- y x)))))
(sqrt (/ 1 (fabs (/ 1 (- y x)))))
(sqrt (/ 1 (fabs (/ 1 (- y x)))))
(sqrt (/ 1 (fabs (/ 1 (+ y (* -1 x))))))
(sqrt (/ 1 (fabs (/ 1 (+ y (* -1 x))))))
(sqrt (/ 1 (fabs (/ 1 (+ y (* -1 x))))))
(sqrt (/ 1 (fabs (/ 1 (+ y (* -1 x))))))
(sqrt (fabs (/ 1 (- y x))))
(sqrt (fabs (/ 1 (- y x))))
(sqrt (fabs (/ 1 (- y x))))
(sqrt (fabs (/ 1 (- y x))))
(sqrt (fabs (/ 1 (- y x))))
(sqrt (fabs (/ 1 (- y x))))
(sqrt (fabs (/ 1 (- y x))))
(sqrt (fabs (/ 1 (- y x))))
(sqrt (fabs (/ -1 (+ x (* -1 y)))))
(sqrt (fabs (/ -1 (+ x (* -1 y)))))
(sqrt (fabs (/ -1 (+ x (* -1 y)))))
(sqrt (fabs (/ -1 (+ x (* -1 y)))))
(sqrt (fabs (/ 1 (- y x))))
(sqrt (fabs (/ 1 (- y x))))
(sqrt (fabs (/ 1 (- y x))))
(sqrt (fabs (/ 1 (- y x))))
(sqrt (fabs (/ 1 (- y x))))
(sqrt (fabs (/ 1 (- y x))))
(sqrt (fabs (/ 1 (- y x))))
(sqrt (fabs (/ 1 (- y x))))
(sqrt (fabs (/ 1 (+ y (* -1 x)))))
(sqrt (fabs (/ 1 (+ y (* -1 x)))))
(sqrt (fabs (/ 1 (+ y (* -1 x)))))
(sqrt (fabs (/ 1 (+ y (* -1 x)))))
(fabs (/ 1 (- y x)))
(fabs (/ 1 (- y x)))
(fabs (/ 1 (- y x)))
(fabs (/ 1 (- y x)))
(fabs (/ 1 (- y x)))
(fabs (/ 1 (- y x)))
(fabs (/ 1 (- y x)))
(fabs (/ 1 (- y x)))
(fabs (/ -1 (+ x (* -1 y))))
(fabs (/ -1 (+ x (* -1 y))))
(fabs (/ -1 (+ x (* -1 y))))
(fabs (/ -1 (+ x (* -1 y))))
(fabs (/ 1 (- y x)))
(fabs (/ 1 (- y x)))
(fabs (/ 1 (- y x)))
(fabs (/ 1 (- y x)))
(fabs (/ 1 (- y x)))
(fabs (/ 1 (- y x)))
(fabs (/ 1 (- y x)))
(fabs (/ 1 (- y x)))
(fabs (/ 1 (+ y (* -1 x))))
(fabs (/ 1 (+ y (* -1 x))))
(fabs (/ 1 (+ y (* -1 x))))
(fabs (/ 1 (+ y (* -1 x))))
(/ -1 x)
(- (* -1 (/ y (pow x 2))) (/ 1 x))
(- (* y (- (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))
(- (* y (- (* y (- (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))
(/ 1 y)
(/ (+ 1 (/ x y)) y)
(/ (- (+ 1 (/ (pow x 2) (pow y 2))) (* -1 (/ x y))) y)
(/ (- (+ 1 (/ (pow x 3) (pow y 3))) (+ (* -1 (/ x y)) (* -1 (/ (pow x 2) (pow y 2))))) y)
(/ 1 y)
(* -1 (/ (- (* -1 (/ x y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) y) (* -1 x)) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (pow x 2)) y)) (* -1 x)) y)) 1) y))
(/ 1 y)
(+ (/ 1 y) (/ x (pow y 2)))
(+ (* x (+ (/ 1 (pow y 2)) (/ x (pow y 3)))) (/ 1 y))
(+ (* x (+ (* x (+ (/ 1 (pow y 3)) (/ x (pow y 4)))) (/ 1 (pow y 2)))) (/ 1 y))
(/ -1 x)
(/ (- (* -1 (/ y x)) 1) x)
(/ (- (* -1 (/ (pow y 2) (pow x 2))) (+ 1 (/ y x))) x)
(/ (- (* -1 (/ (pow y 3) (pow x 3))) (+ 1 (+ (/ y x) (/ (pow y 2) (pow x 2))))) x)
(/ -1 x)
(* -1 (/ (+ 1 (/ y x)) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) y) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x)) y) x))) x))
(/ 1 x)
(+ (* -1 (/ y (pow x 2))) (/ 1 x))
(+ (* y (- (/ y (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x))
(+ (* y (- (* y (+ (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))
(/ 1 y)
(/ (+ 1 (* -1 (/ x y))) y)
(/ (- (+ 1 (/ (pow x 2) (pow y 2))) (/ x y)) y)
(/ (- (+ 1 (* -1 (/ (pow x 3) (pow y 3)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))) y)
(/ 1 y)
(* -1 (/ (- (/ x y) 1) y))
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) y) x) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y)) x) y)) 1) y))
(/ 1 y)
(+ (* -1 (/ x (pow y 2))) (/ 1 y))
(+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))
(+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))
(/ 1 x)
(/ (+ 1 (* -1 (/ y x))) x)
(/ (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) x)
(/ (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) x)
(/ 1 x)
(* -1 (/ (- (/ y x) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ (pow y 2) x) y) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x)) y) x)) 1) x))

Outputs
(sqrt (fabs (- x y)))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt (fabs (- x y)))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt (fabs (- x y)))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt (fabs (- x y)))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt (fabs (- x y)))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt (fabs (- x y)))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt (fabs (- x y)))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt (fabs (- x y)))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt (fabs (neg (+ y (* -1 x)))))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt (fabs (neg (+ y (* -1 x)))))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt (fabs (neg (+ y (* -1 x)))))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt (fabs (neg (+ y (* -1 x)))))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt (fabs (- x y)))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt (fabs (- x y)))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt (fabs (- x y)))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt (fabs (- x y)))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt (fabs (- x y)))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt (fabs (- x y)))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt (fabs (- x y)))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt (fabs (- x y)))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt (fabs (+ x (* -1 y))))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt (fabs (+ x (* -1 y))))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt (fabs (+ x (* -1 y))))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt (fabs (+ x (* -1 y))))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(fabs (neg (+ y (* -1 x))))
(fabs.f64 (-.f64 x y))
(fabs (neg (+ y (* -1 x))))
(fabs.f64 (-.f64 x y))
(fabs (neg (+ y (* -1 x))))
(fabs.f64 (-.f64 x y))
(fabs (neg (+ y (* -1 x))))
(fabs.f64 (-.f64 x y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(fabs (+ x (* -1 y)))
(fabs.f64 (-.f64 x y))
(fabs (+ x (* -1 y)))
(fabs.f64 (-.f64 x y))
(fabs (+ x (* -1 y)))
(fabs.f64 (-.f64 x y))
(fabs (+ x (* -1 y)))
(fabs.f64 (-.f64 x y))
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
x
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
x
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(* -1 y)
(neg.f64 y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(sqrt (fabs (/ 1 (+ x y))))
(sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x))))
(sqrt (fabs (/ 1 (+ x y))))
(sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x))))
(sqrt (fabs (/ 1 (+ x y))))
(sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x))))
(sqrt (fabs (/ 1 (+ x y))))
(sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x))))
(sqrt (fabs (/ 1 (+ x y))))
(sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x))))
(sqrt (fabs (/ 1 (+ x y))))
(sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x))))
(sqrt (fabs (/ 1 (+ x y))))
(sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x))))
(sqrt (fabs (/ 1 (+ x y))))
(sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x))))
(sqrt (fabs (/ 1 (- x (* -1 y)))))
(sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x))))
(sqrt (fabs (/ 1 (- x (* -1 y)))))
(sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x))))
(sqrt (fabs (/ 1 (- x (* -1 y)))))
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(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) x)
(/ (- (* -1 (/ (pow y 2) (pow x 2))) (+ 1 (/ y x))) x)
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 y x) y y) x)) x)
(/ (- (* -1 (/ (pow y 3) (pow x 3))) (+ 1 (+ (/ y x) (/ (pow y 2) (pow x 2))))) x)
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 y (fma.f64 (/.f64 y x) y y)) x) y) x)) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (/ y x)) x))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) x)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) y) x))) x))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 y x) y y) x)) x)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x)) y) x))) x))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 y (fma.f64 (/.f64 y x) y y)) x) y) x)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* -1 (/ y (pow x 2))) (/ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(+ (* y (- (/ y (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x))
(/.f64 (fma.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
(+ (* y (- (* y (+ (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))
(fma.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (/.f64 y (.f64 (.f64 (.f64 x x) x) x))) y) y (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ (+ 1 (* -1 (/ x y))) y)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)
(/ (- (+ 1 (/ (pow x 2) (pow y 2))) (/ x y)) y)
(/.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)) y)
(/ (- (+ 1 (* -1 (/ (pow x 3) (pow y 3)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))) y)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 x (.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64)))) y) x) y)) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(* -1 (/ (- (/ x y) 1) y))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) y) x) y)) 1) y))
(/.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)) y)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y)) x) y)) 1) y))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 x (.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64)))) y) x) y)) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ (* -1 (/ x (pow y 2))) (/ 1 y))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)
(+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))
(/.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)) y)
(+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))
(fma.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) y)) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) x) x (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1 (/ y x))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(/ (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) x)
(/.f64 (fma.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
(/ (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 y (.f64 y (-.f64 (/.f64 y x) #s(literal 1 binary64)))) x) y) x)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (/ y x) 1) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(* -1 (/ (- (* -1 (/ (- (/ (pow y 2) x) y) x)) 1) x))
(/.f64 (fma.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x)) y) x)) 1) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 y (.f64 y (-.f64 (/.f64 y x) #s(literal 1 binary64)))) x) y) x)) x)

rewrite173.0ms (2.8%)

Memory

43.1MiB live, 319.0MiB allocated

Rules

3 628×	`lower-*.f32`
3 624×	`lower-*.f64`
3 366×	`lower-fma.f64`
3 366×	`lower-fma.f32`
2 864×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	98
0	40	105
1	122	103
2	662	71
3	7406	71
0	8265	71

Stop Event

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

Counts

13 → 675

Calls

Call 1

Inputs
(sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))))
(fabs.f64 #s(approx (- x y) (neg.f64 y)))
#s(approx (- x y) (neg.f64 y))
(neg.f64 y)
(pow.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x))) #s(literal 1/2 binary64))
(.f64 (sqrt.f64 (fabs.f64 (.f64 (+.f64 y x) (-.f64 x y)))) (pow.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x))) #s(literal 1/2 binary64)))
(sqrt.f64 (fabs.f64 (*.f64 (+.f64 y x) (-.f64 x y))))
(fabs.f64 (*.f64 (+.f64 y x) (-.f64 x y)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))))
(sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))))
(fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(/.f64 #s(literal 1 binary64) (-.f64 y x))
(/.f64 #s(literal 1 binary64) (+.f64 y x))

Outputs
(*.f64 (pow.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/4 binary64)) (pow.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 (log.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) (fabs.f64 #s(approx (- x y) (neg.f64 y)))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64))
(sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))))
(exp.f64 (*.f64 (log.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y)))) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (fabs.f64 #s(approx (- x y) (neg.f64 y))))
(fabs.f64 (-.f64 #s(approx (- x y) (neg.f64 y)) #s(literal 0 binary64)))
(fabs.f64 (neg.f64 #s(approx (- x y) (neg.f64 y))))
(fabs.f64 #s(approx (- x y) (neg.f64 y)))
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (- x y) (neg.f64 y))))
(*.f64 #s(literal 1 binary64) #s(approx (- x y) (neg.f64 y)))
#s(approx (- x y) (neg.f64 y))
(neg.f64 (neg.f64 #s(approx (- x y) (neg.f64 y))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (- x y) (neg.f64 y))))
(.f64 (.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y))
(.f64 (.f64 (.f64 (neg.f64 y) y) y) (/.f64 #s(literal 1 binary64) (.f64 y y)))
(*.f64 #s(literal -1 binary64) y)
(*.f64 y #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 (.f64 (neg.f64 y) y) y)) (*.f64 (neg.f64 y) y))
(/.f64 (*.f64 (neg.f64 y) y) (-.f64 #s(literal 0 binary64) (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 y) y) y)
(/.f64 (.f64 (.f64 (neg.f64 y) y) y) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 y y) (.f64 #s(literal 0 binary64) (neg.f64 y)))))
(/.f64 (.f64 (.f64 (neg.f64 y) y) y) (*.f64 y y))
(/.f64 (*.f64 y y) (neg.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (.f64 (*.f64 (neg.f64 y) y) y)))
(neg.f64 y)
(fma.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(fma.f64 (.f64 (.f64 (neg.f64 y) y) y) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) y #s(literal 0 binary64))
(fma.f64 y #s(literal -1 binary64) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 (*.f64 y y) y))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 y y)) (/.f64 (.f64 (.f64 y y) y) (.f64 y y)))
(-.f64 #s(literal 0 binary64) y)
(+.f64 #s(literal 0 binary64) (neg.f64 y))
(+.f64 (neg.f64 y) #s(literal 0 binary64))
(.f64 (.f64 (pow.f64 (+.f64 y x) #s(literal -1/4 binary64)) (pow.f64 (+.f64 y x) #s(literal -1/8 binary64))) (pow.f64 (+.f64 y x) #s(literal -1/8 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 y x) #s(literal -1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (+.f64 y x) #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 y x))))
(.f64 (pow.f64 (.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x y) x (*.f64 y y))) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (.f64 (-.f64 y x) (+.f64 y x)) #s(literal -1/2 binary64)) (sqrt.f64 (-.f64 y x)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 y x))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 y x))) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (+.f64 y x) #s(literal -1/8 binary64)) (.f64 (pow.f64 (+.f64 y x) #s(literal -1/8 binary64)) (pow.f64 (+.f64 y x) #s(literal -1/4 binary64))))
(*.f64 (pow.f64 (+.f64 y x) #s(literal -1/4 binary64)) (pow.f64 (+.f64 y x) #s(literal -1/4 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 y x))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (neg.f64 (log.f64 (+.f64 y x))))
(pow.f64 (sqrt.f64 (+.f64 y x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (+.f64 y x) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal 1/2 binary64))
(pow.f64 (+.f64 y x) #s(literal -1/2 binary64))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (-.f64 (neg.f64 y) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (+.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 y x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 y x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(exp.f64 (fma.f64 #s(literal 1/4 binary64) (neg.f64 (log.f64 (+.f64 y x))) (*.f64 #s(literal 1/4 binary64) (neg.f64 (log.f64 (+.f64 y x))))))
(exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (neg.f64 (log.f64 (+.f64 y x)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 y x) #s(literal -1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (+.f64 y x)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 y x))) #s(literal 1/2 binary64)))
(.f64 (.f64 (.f64 (pow.f64 (+.f64 y x) #s(literal -1/4 binary64)) (sqrt.f64 (.f64 (-.f64 y x) (+.f64 y x)))) (pow.f64 (+.f64 y x) #s(literal -1/8 binary64))) (pow.f64 (+.f64 y x) #s(literal -1/8 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 y x))) (pow.f64 (.f64 (-.f64 y x) (+.f64 y x)) #s(literal 1/4 binary64))) (pow.f64 (.f64 (-.f64 y x) (+.f64 y x)) #s(literal 1/4 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 y x))) (sqrt.f64 (+.f64 y x))) (sqrt.f64 (-.f64 y x)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 x y)) #s(literal -1/4 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 x y)) #s(literal -1/4 binary64)))
(.f64 (.f64 (pow.f64 (.f64 (-.f64 y x) (+.f64 y x)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 y x) #s(literal -1/4 binary64))) (.f64 (pow.f64 (*.f64 (-.f64 y x) (+.f64 y x)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 y x) #s(literal -1/4 binary64))))
(.f64 (.f64 (pow.f64 (+.f64 y x) #s(literal -1/4 binary64)) (pow.f64 (.f64 (-.f64 y x) (+.f64 y x)) #s(literal 1/4 binary64))) (.f64 (pow.f64 (+.f64 y x) #s(literal -1/4 binary64)) (pow.f64 (*.f64 (-.f64 y x) (+.f64 y x)) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal -1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 y x) #s(literal -1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (sqrt.f64 (-.f64 y x)))
(.f64 (.f64 (pow.f64 (+.f64 y x) #s(literal -1/4 binary64)) (sqrt.f64 (*.f64 (-.f64 y x) (+.f64 y x)))) (pow.f64 (+.f64 y x) #s(literal -1/4 binary64)))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 y x))) #s(literal -1 binary64))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 x y)) #s(literal -1/4 binary64)) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 x y)) #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 x y)) #s(literal -1/4 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 x y)) #s(literal -1/4 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 y x))) (sqrt.f64 (.f64 (-.f64 y x) (+.f64 y x))))
(.f64 (pow.f64 (+.f64 y x) #s(literal -1/8 binary64)) (.f64 (pow.f64 (+.f64 y x) #s(literal -1/8 binary64)) (.f64 (pow.f64 (+.f64 y x) #s(literal -1/4 binary64)) (sqrt.f64 (.f64 (-.f64 y x) (+.f64 y x))))))
(.f64 (pow.f64 (.f64 (-.f64 y x) (+.f64 y x)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (.f64 (-.f64 y x) (+.f64 y x)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 y x)))))
(.f64 (sqrt.f64 (+.f64 y x)) (.f64 (sqrt.f64 (-.f64 y x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 y x)))))
(.f64 (pow.f64 (+.f64 y x) #s(literal -1/4 binary64)) (.f64 (pow.f64 (+.f64 y x) #s(literal -1/4 binary64)) (sqrt.f64 (*.f64 (-.f64 y x) (+.f64 y x)))))
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (-.f64 y x))))
(*.f64 (sqrt.f64 (-.f64 y x)) #s(literal 1 binary64))
(.f64 (sqrt.f64 (.f64 (-.f64 y x) (+.f64 y x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 y x))))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 y x)))
(pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 x y)) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (-.f64 x y))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 x y)) #s(literal -1/2 binary64))
(pow.f64 (-.f64 y x) #s(literal 1/2 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y x) #s(literal -1/4 binary64))) (pow.f64 (-.f64 y x) #s(literal -1/4 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (-.f64 y x) (+.f64 y x)))) (sqrt.f64 (+.f64 y x)))
(/.f64 (.f64 (sqrt.f64 (.f64 (-.f64 y x) (+.f64 y x))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 y x)))
(/.f64 (sqrt.f64 (fabs.f64 (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (-.f64 y x)))) (sqrt.f64 (fabs.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 y x))))
(/.f64 (sqrt.f64 (-.f64 y x)) #s(literal 1 binary64))
(/.f64 (sqrt.f64 (*.f64 (-.f64 y x) (+.f64 y x))) (sqrt.f64 (+.f64 y x)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) (-.f64 x y))))
(neg.f64 (neg.f64 (sqrt.f64 (-.f64 y x))))
(sqrt.f64 (-.f64 y x))
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (-.f64 y x))))
(exp.f64 (fma.f64 (log.f64 (.f64 (-.f64 y x) (+.f64 y x))) #s(literal 1/2 binary64) (.f64 (neg.f64 (log.f64 (+.f64 y x))) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (neg.f64 (log.f64 (+.f64 y x))) #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 (-.f64 y x) (+.f64 y x))) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 y x))) #s(literal -1/2 binary64)))
(exp.f64 (neg.f64 (*.f64 (neg.f64 (log.f64 (-.f64 y x))) #s(literal 1/2 binary64))))
(exp.f64 (.f64 (.f64 (neg.f64 (log.f64 (-.f64 y x))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 (-.f64 y x) (+.f64 y x)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (-.f64 y x) (+.f64 y x)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 (-.f64 y x)))
(*.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (+.f64 y x)))
(pow.f64 (.f64 (.f64 (-.f64 y x) (+.f64 y x)) (*.f64 (-.f64 y x) (+.f64 y x))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 (*.f64 (-.f64 y x) (+.f64 y x)))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (-.f64 y x) (+.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (-.f64 y x) (+.f64 y x)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (-.f64 y x) (+.f64 y x)))
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(/.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 1 binary64))) (fma.f64 (+.f64 y x) y (*.f64 x x)))
(/.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 (-.f64 x y) (+.f64 y x))) (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (-.f64 x y))) (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))) (.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) (-.f64 (.f64 y y) (.f64 (-.f64 x y) x)))) (-.f64 (.f64 y y) (.f64 (-.f64 x y) x)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))) (fma.f64 (.f64 (.f64 (.f64 y y) y) (.f64 y y)) y (.f64 (.f64 (.f64 (.f64 (-.f64 x y) x) x) (-.f64 x y)) (.f64 (-.f64 x y) x)))) (fma.f64 (.f64 (-.f64 x y) x) (fma.f64 x x (.f64 (-.f64 (neg.f64 y) x) y)) (.f64 (.f64 y y) (.f64 y y))))
(/.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 (-.f64 x y) (+.f64 y x))) (*.f64 (-.f64 x y) (+.f64 y x))) (-.f64 (neg.f64 y) x))
(/.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 (-.f64 x y) (+.f64 y x))) (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (-.f64 y x))) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 y) x) (*.f64 y y)))
(/.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 (-.f64 x y) (+.f64 y x))) (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (-.f64 y x))) (fma.f64 (+.f64 y x) y (*.f64 x x)))
(/.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 (-.f64 x y) (+.f64 y x))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 x y)))
(/.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 (-.f64 x y) (+.f64 y x))) (*.f64 (-.f64 y x) (+.f64 y x))) (+.f64 y x))
(/.f64 (/.f64 (-.f64 y x) (+.f64 y x)) (-.f64 y x))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 x y) (+.f64 y x))) (/.f64 #s(literal -1 binary64) (-.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x y) x (.f64 y y))))
(/.f64 (.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) (-.f64 (.f64 y y) (.f64 (-.f64 x y) x))) (.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)) (-.f64 (.f64 y y) (.f64 (-.f64 x y) x))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) (.f64 y y)) y (.f64 (.f64 (.f64 (.f64 (-.f64 x y) x) x) (-.f64 x y)) (.f64 (-.f64 x y) x))) (.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)) (fma.f64 (.f64 (-.f64 x y) x) (fma.f64 x x (.f64 (-.f64 (neg.f64 y) x) y)) (.f64 (.f64 y y) (.f64 y y)))))
(/.f64 (neg.f64 (fma.f64 (-.f64 x y) x (.f64 y y))) (neg.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))))
(/.f64 (.f64 (-.f64 x y) (+.f64 y x)) (.f64 (*.f64 (-.f64 y x) (+.f64 y x)) (-.f64 (neg.f64 y) x)))
(/.f64 (.f64 (-.f64 y x) (+.f64 y x)) (.f64 (*.f64 (-.f64 y x) (+.f64 y x)) (+.f64 y x)))
(/.f64 (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (-.f64 y x)) (.f64 (.f64 (-.f64 y x) (+.f64 y x)) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 y) x) (*.f64 y y))))
(/.f64 (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (-.f64 y x)) (.f64 (.f64 (-.f64 y x) (+.f64 y x)) (fma.f64 (+.f64 y x) y (*.f64 x x))))
(/.f64 (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (-.f64 x y)) (.f64 (.f64 (-.f64 y x) (+.f64 y x)) (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(/.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)))
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 (neg.f64 y) x))
(/.f64 (-.f64 y x) (*.f64 (-.f64 y x) (+.f64 y x)))
(/.f64 (-.f64 x y) (*.f64 (-.f64 x y) (+.f64 y x)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 y x))
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)))
(fma.f64 (/.f64 #s(literal -1 binary64) (.f64 (-.f64 x y) (+.f64 y x))) (neg.f64 x) (.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 x y) (+.f64 y x))) y))
(fma.f64 (/.f64 #s(literal -1 binary64) (.f64 (-.f64 x y) (+.f64 y x))) y (.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 x y) (+.f64 y x))) (neg.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))) (.f64 (-.f64 x y) x) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))) (*.f64 y y)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))) (.f64 y y) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))) (*.f64 (-.f64 x y) x)))
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (.f64 (-.f64 x y) (+.f64 y x))) (.f64 y (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 x y) (+.f64 y x)))))
(fma.f64 (.f64 (-.f64 x y) x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))) (.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) x (.f64 (*.f64 y y) y)))))
(fma.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))) (.f64 (.f64 (-.f64 x y) x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) x (.f64 (*.f64 y y) y)))))
(fma.f64 y (/.f64 #s(literal -1 binary64) (.f64 (-.f64 x y) (+.f64 y x))) (.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 x y) (+.f64 y x)))))
(-.f64 (/.f64 (fma.f64 y y (.f64 x x)) (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))) (/.f64 (.f64 y x) (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))))
(-.f64 (/.f64 (.f64 (.f64 y y) (/.f64 y (fma.f64 (+.f64 y x) y (.f64 x x)))) (.f64 (-.f64 y x) (+.f64 y x))) (/.f64 (.f64 (.f64 x x) (/.f64 x (fma.f64 (+.f64 y x) y (.f64 x x)))) (.f64 (-.f64 y x) (+.f64 y x))))
(-.f64 (/.f64 (.f64 (/.f64 y (+.f64 y x)) y) (.f64 (-.f64 y x) (+.f64 y x))) (/.f64 (.f64 (/.f64 x (+.f64 y x)) x) (.f64 (-.f64 y x) (+.f64 y x))))
(-.f64 (/.f64 y (.f64 (-.f64 y x) (+.f64 y x))) (/.f64 x (.f64 (-.f64 y x) (+.f64 y x))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (+.f64 y x)))
(fabs.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal 0 binary64)))
(fabs.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)))
(fabs.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(exp.f64 (neg.f64 (log.f64 (+.f64 y x))))
(+.f64 (.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (.f64 (-.f64 x y) (+.f64 y x)))) (.f64 y (/.f64 #s(literal -1 binary64) (.f64 (-.f64 x y) (+.f64 y x)))))
(+.f64 (.f64 (.f64 (-.f64 x y) x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)))) (.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)))))
(+.f64 (.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)))) (.f64 (.f64 (-.f64 x y) x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)))))
(+.f64 (.f64 y (/.f64 #s(literal -1 binary64) (.f64 (-.f64 x y) (+.f64 y x)))) (.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (.f64 (-.f64 x y) (+.f64 y x)))))
(+.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 (-.f64 x y) (+.f64 y x))) (neg.f64 x)) (.f64 (/.f64 #s(literal -1 binary64) (.f64 (-.f64 x y) (+.f64 y x))) y))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))) (.f64 (-.f64 x y) x)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))) (.f64 y y)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))) (.f64 y y)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))) (.f64 (-.f64 x y) x)))
(+.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 (-.f64 x y) (+.f64 y x))) y) (.f64 (/.f64 #s(literal -1 binary64) (.f64 (-.f64 x y) (+.f64 y x))) (neg.f64 x)))

eval124.0ms (2%)

Memory: 14.0MiB live, 318.6MiB allocated
Compiler: Compiled 20 764 to 2 394 computations (88.5% saved)

prune110.0ms (1.8%)

Memory

-28.5MiB live, 235.4MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	969	3	972
Fresh	0	0	0
Picked	3	0	3
Done	1	0	1
Total	973	3	976

Accuracy

100.0%

Counts

976 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

▶

99.5%

(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))))

▶

51.9%

(/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 #s(approx (/ 1 (- y x)) (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y)))))

▶

100.0%

(sqrt.f64 (-.f64 y x))

Compiler

Compiled 30 to 21 computations (30% saved)

simplify26.0ms (0.4%)

Memory

-20.3MiB live, 18.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(-.f64 y x)
cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 y x))
cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))
cost-diff	0	(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))))
cost-diff	0	#s(approx (/ 1 (- y x)) (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y))
cost-diff	0	(fabs.f64 #s(approx (/ 1 (- y x)) (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y)))
cost-diff	0	(sqrt.f64 (fabs.f64 #s(approx (/ 1 (- y x)) (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y))))
cost-diff	0	(/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 #s(approx (/ 1 (- y x)) (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y)))))
cost-diff	0	(-.f64 y x)
cost-diff	0	(sqrt.f64 (-.f64 y x))

Rules

384×	`lower-fma.f64`
384×	`lower-fma.f32`
256×	`lower-*.f64`
256×	`lower-*.f32`
162×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	112
0	29	112
1	38	112
2	46	112
3	58	112
4	75	112
5	114	112
6	167	112
7	293	112
8	501	112
9	790	112
10	885	112
11	889	112
0	889	112

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(sqrt.f64 (-.f64 y x))
(-.f64 y x)
y
x
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 #s(approx (/ 1 (- y x)) (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y)))))
#s(literal 1 binary64)
(sqrt.f64 (fabs.f64 #s(approx (/ 1 (- y x)) (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y))))
(fabs.f64 #s(approx (/ 1 (- y x)) (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y)))
#s(approx (/ 1 (- y x)) (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y))
(/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y)
(-.f64 (/.f64 x y) #s(literal -1 binary64))
(/.f64 x y)
x
y
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))))
#s(literal 1 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(/.f64 #s(literal 1 binary64) (-.f64 y x))
(-.f64 y x)
y
x

Outputs
(sqrt.f64 (-.f64 y x))
(-.f64 y x)
y
x
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 #s(approx (/ 1 (- y x)) (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y)))))
#s(literal 1 binary64)
(sqrt.f64 (fabs.f64 #s(approx (/ 1 (- y x)) (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y))))
(fabs.f64 #s(approx (/ 1 (- y x)) (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y)))
#s(approx (/ 1 (- y x)) (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y))
(/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y)
(-.f64 (/.f64 x y) #s(literal -1 binary64))
(/.f64 x y)
x
y
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))))
#s(literal 1 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(/.f64 #s(literal 1 binary64) (-.f64 y x))
(-.f64 y x)
y
x

localize50.0ms (0.8%)

Memory

18.5MiB live, 95.0MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 y x)
accuracy	0.015625	(/.f64 #s(literal 1 binary64) (-.f64 y x))
accuracy	0.14453125	(sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))
accuracy	0.28515625	(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))))
accuracy	0.05078125	(/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y)
accuracy	0.14453125	(sqrt.f64 (fabs.f64 #s(approx (/ 1 (- y x)) (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y))))
accuracy	0.28515625	(/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 #s(approx (/ 1 (- y x)) (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y)))))
accuracy	31.583436337285708	#s(approx (/ 1 (- y x)) (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y))
accuracy	0	(-.f64 y x)
accuracy	0.0078125	(sqrt.f64 (-.f64 y x))

Samples

33.0ms

256×

valid

Compiler

Compiled 82 to 17 computations (79.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-div: 8.0ms (40.6% of total)

ival-sqrt: 7.0ms (35.5% of total)

ival-sub: 3.0ms (15.2% of total)

ival-fabs: 1.0ms (5.1% of total)

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

exact: 0.0ms (0% of total)

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

series26.0ms (0.4%)

Memory

-0.9MiB live, 41.6MiB allocated

Counts

10 → 240

Calls

Call 1

Inputs
#s(alt (sqrt.f64 (-.f64 y x)) (patch (sqrt.f64 (-.f64 y x)) #<representation binary64>) () ())
#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 #s(approx (/ 1 (- y x)) (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y))))) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 #s(approx (/ 1 (- y x)) (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fabs.f64 #s(approx (/ 1 (- y x)) (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y)))) (patch (sqrt.f64 (fabs.f64 #s(approx (/ 1 (- y x)) (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y)))) #<representation binary64>) () ())
#s(alt (fabs.f64 #s(approx (/ 1 (- y x)) (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y))) (patch (fabs.f64 #s(approx (/ 1 (- y x)) (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y))) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (- y x)) (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y)) (patch #s(approx (/ 1 (- y x)) (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (-.f64 y x)) (patch (/.f64 #s(literal 1 binary64) (-.f64 y x)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y) (patch (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y) #<representation binary64>) () ())

Outputs
#s(alt (* (sqrt x) (sqrt -1)) (taylor 0 y) (#s(alt (sqrt.f64 (-.f64 y x)) (patch (sqrt.f64 (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (* (sqrt (/ 1 x)) (/ y (sqrt -1)))) (* (sqrt x) (sqrt -1))) (taylor 0 y) (#s(alt (sqrt.f64 (-.f64 y x)) (patch (sqrt.f64 (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ y (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))) (* (sqrt x) (sqrt -1))) (taylor 0 y) (#s(alt (sqrt.f64 (-.f64 y x)) (patch (sqrt.f64 (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ y (pow (sqrt -1) 5)))))))) (* (sqrt x) (sqrt -1))) (taylor 0 y) (#s(alt (sqrt.f64 (-.f64 y x)) (patch (sqrt.f64 (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (sqrt y) (taylor inf y) (#s(alt (sqrt.f64 (-.f64 y x)) (patch (sqrt.f64 (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (sqrt (/ 1 y)) (* -1/2 (* x (sqrt (/ 1 (pow y 3))))))) (taylor inf y) (#s(alt (sqrt.f64 (-.f64 y x)) (patch (sqrt.f64 (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5)))))))) (taylor inf y) (#s(alt (sqrt.f64 (-.f64 y x)) (patch (sqrt.f64 (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* -1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7))))))))) (taylor inf y) (#s(alt (sqrt.f64 (-.f64 y x)) (patch (sqrt.f64 (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt y) (pow (sqrt -1) 2))) (taylor -inf y) (#s(alt (sqrt.f64 (-.f64 y x)) (patch (sqrt.f64 (-.f64 y x)) #<representation binary64>) () ())) ())
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#s(alt (+ (* x (+ (/ 1 (pow y 2)) (/ x (pow y 3)))) (/ 1 y)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 y x)) (patch (/.f64 #s(literal 1 binary64) (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ (* x (+ (/ 1 (pow y 3)) (/ x (pow y 4)))) (/ 1 (pow y 2)))) (/ 1 y)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 y x)) (patch (/.f64 #s(literal 1 binary64) (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 y x)) (patch (/.f64 #s(literal 1 binary64) (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ y x)) 1) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 y x)) (patch (/.f64 #s(literal 1 binary64) (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (pow y 2) (pow x 2))) (+ 1 (/ y x))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 y x)) (patch (/.f64 #s(literal 1 binary64) (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (pow y 3) (pow x 3))) (+ 1 (+ (/ y x) (/ (pow y 2) (pow x 2))))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 y x)) (patch (/.f64 #s(literal 1 binary64) (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 y x)) (patch (/.f64 #s(literal 1 binary64) (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1 (/ y x)) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 y x)) (patch (/.f64 #s(literal 1 binary64) (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) y) x))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 y x)) (patch (/.f64 #s(literal 1 binary64) (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x)) y) x))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 y x)) (patch (/.f64 #s(literal 1 binary64) (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor 0 x) (#s(alt (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y) (patch (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (+ (/ 1 y) (/ x (pow y 2))) (taylor 0 x) (#s(alt (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y) (patch (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (+ (/ 1 y) (/ x (pow y 2))) (taylor 0 x) (#s(alt (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y) (patch (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (+ (/ 1 y) (/ x (pow y 2))) (taylor 0 x) (#s(alt (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y) (patch (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y) (patch (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* x (+ (/ 1 (* x y)) (/ 1 (pow y 2)))) (taylor inf x) (#s(alt (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y) (patch (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* x (+ (/ 1 (* x y)) (/ 1 (pow y 2)))) (taylor inf x) (#s(alt (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y) (patch (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* x (+ (/ 1 (* x y)) (/ 1 (pow y 2)))) (taylor inf x) (#s(alt (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y) (patch (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y) (patch (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* x (+ (/ 1 (* x y)) (/ 1 (pow y 2)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y) (patch (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* x (+ (/ 1 (* x y)) (/ 1 (pow y 2)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y) (patch (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* x (+ (/ 1 (* x y)) (/ 1 (pow y 2)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y) (patch (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y) (patch (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (/ (+ x y) (pow y 2)) (taylor 0 y) (#s(alt (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y) (patch (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (/ (+ x y) (pow y 2)) (taylor 0 y) (#s(alt (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y) (patch (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (/ (+ x y) (pow y 2)) (taylor 0 y) (#s(alt (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y) (patch (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor inf y) (#s(alt (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y) (patch (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (/ x y)) y) (taylor inf y) (#s(alt (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y) (patch (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (/ x y)) y) (taylor inf y) (#s(alt (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y) (patch (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (/ x y)) y) (taylor inf y) (#s(alt (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y) (patch (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor -inf y) (#s(alt (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y) (patch (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ x y)) 1) y)) (taylor -inf y) (#s(alt (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y) (patch (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ x y)) 1) y)) (taylor -inf y) (#s(alt (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y) (patch (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ x y)) 1) y)) (taylor -inf y) (#s(alt (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y) (patch (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y) #<representation binary64>) () ())) ())

Calls

60 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(fabs (/ 1 (- y x)))
3.0ms	x	@	-inf	(sqrt (- y x))
2.0ms	y	@	-inf	(/ 1 (sqrt (/ 1 (- y x))))
1.0ms	y	@	inf	(sqrt (/ 1 (- y x)))
1.0ms	y	@	-inf	(sqrt (- y x))

simplify239.0ms (3.9%)

Memory

12.4MiB live, 201.1MiB allocated

Algorithm

1×	egg-herbie

Rules

13 758×	`lower-fma.f64`
13 758×	`lower-fma.f32`
5 782×	`lower-*.f64`
5 782×	`lower-*.f32`
4 362×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	417	3469
1	1272	3186
2	4331	3083
0	8074	2945

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 237

Calls

Call 1

Inputs
(* (sqrt x) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ 1 x)) (/ y (sqrt -1)))) (* (sqrt x) (sqrt -1)))
(+ (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ y (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))) (* (sqrt x) (sqrt -1)))
(+ (* y (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ y (pow (sqrt -1) 5)))))))) (* (sqrt x) (sqrt -1)))
(sqrt y)
(* y (+ (sqrt (/ 1 y)) (* -1/2 (* x (sqrt (/ 1 (pow y 3)))))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* -1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7)))))))))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* y (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (* (pow x 3) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))
(sqrt y)
(+ (sqrt y) (* -1/2 (* x (sqrt (/ 1 y)))))
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* -1/8 (* x (sqrt (/ 1 (pow y 3))))))))
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* x (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* -1/16 (* x (sqrt (/ 1 (pow y 5))))))))))
(* (sqrt x) (sqrt -1))
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow y 3) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* -1 (* (sqrt x) (sqrt -1)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow y 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
(* -1 x)
(- y x)
(- y x)
(- y x)
y
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
y
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
y
(+ y (* -1 x))
(+ y (* -1 x))
(+ y (* -1 x))
(* -1 x)
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(sqrt (/ 1 (fabs (/ 1 (- y x)))))
(sqrt (/ 1 (fabs (/ 1 (- y x)))))
(sqrt (/ 1 (fabs (/ 1 (- y x)))))
(sqrt (/ 1 (fabs (/ 1 (- y x)))))
(sqrt (/ 1 (fabs (/ 1 (- y x)))))
(sqrt (/ 1 (fabs (/ 1 (- y x)))))
(sqrt (/ 1 (fabs (/ 1 (- y x)))))
(sqrt (/ 1 (fabs (/ 1 (- y x)))))
(sqrt (/ 1 (fabs (/ -1 (+ x (* -1 y))))))
(sqrt (/ 1 (fabs (/ -1 (+ x (* -1 y))))))
(sqrt (/ 1 (fabs (/ -1 (+ x (* -1 y))))))
(sqrt (/ 1 (fabs (/ -1 (+ x (* -1 y))))))
(sqrt (/ 1 (fabs (/ 1 (- y x)))))
(sqrt (/ 1 (fabs (/ 1 (- y x)))))
(sqrt (/ 1 (fabs (/ 1 (- y x)))))
(sqrt (/ 1 (fabs (/ 1 (- y x)))))
(sqrt (/ 1 (fabs (/ 1 (- y x)))))
(sqrt (/ 1 (fabs (/ 1 (- y x)))))
(sqrt (/ 1 (fabs (/ 1 (- y x)))))
(sqrt (/ 1 (fabs (/ 1 (- y x)))))
(sqrt (/ 1 (fabs (/ 1 (+ y (* -1 x))))))
(sqrt (/ 1 (fabs (/ 1 (+ y (* -1 x))))))
(sqrt (/ 1 (fabs (/ 1 (+ y (* -1 x))))))
(sqrt (/ 1 (fabs (/ 1 (+ y (* -1 x))))))
(sqrt (fabs (/ 1 (- y x))))
(sqrt (fabs (/ 1 (- y x))))
(sqrt (fabs (/ 1 (- y x))))
(sqrt (fabs (/ 1 (- y x))))
(sqrt (fabs (/ 1 (- y x))))
(sqrt (fabs (/ 1 (- y x))))
(sqrt (fabs (/ 1 (- y x))))
(sqrt (fabs (/ 1 (- y x))))
(sqrt (fabs (/ -1 (+ x (* -1 y)))))
(sqrt (fabs (/ -1 (+ x (* -1 y)))))
(sqrt (fabs (/ -1 (+ x (* -1 y)))))
(sqrt (fabs (/ -1 (+ x (* -1 y)))))
(sqrt (fabs (/ 1 (- y x))))
(sqrt (fabs (/ 1 (- y x))))
(sqrt (fabs (/ 1 (- y x))))
(sqrt (fabs (/ 1 (- y x))))
(sqrt (fabs (/ 1 (- y x))))
(sqrt (fabs (/ 1 (- y x))))
(sqrt (fabs (/ 1 (- y x))))
(sqrt (fabs (/ 1 (- y x))))
(sqrt (fabs (/ 1 (+ y (* -1 x)))))
(sqrt (fabs (/ 1 (+ y (* -1 x)))))
(sqrt (fabs (/ 1 (+ y (* -1 x)))))
(sqrt (fabs (/ 1 (+ y (* -1 x)))))
(fabs (/ 1 (- y x)))
(fabs (/ 1 (- y x)))
(fabs (/ 1 (- y x)))
(fabs (/ 1 (- y x)))
(fabs (/ 1 (- y x)))
(fabs (/ 1 (- y x)))
(fabs (/ 1 (- y x)))
(fabs (/ 1 (- y x)))
(fabs (/ -1 (+ x (* -1 y))))
(fabs (/ -1 (+ x (* -1 y))))
(fabs (/ -1 (+ x (* -1 y))))
(fabs (/ -1 (+ x (* -1 y))))
(fabs (/ 1 (- y x)))
(fabs (/ 1 (- y x)))
(fabs (/ 1 (- y x)))
(fabs (/ 1 (- y x)))
(fabs (/ 1 (- y x)))
(fabs (/ 1 (- y x)))
(fabs (/ 1 (- y x)))
(fabs (/ 1 (- y x)))
(fabs (/ 1 (+ y (* -1 x))))
(fabs (/ 1 (+ y (* -1 x))))
(fabs (/ 1 (+ y (* -1 x))))
(fabs (/ 1 (+ y (* -1 x))))
(/ -1 x)
(- (* -1 (/ y (pow x 2))) (/ 1 x))
(- (* y (- (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))
(- (* y (- (* y (- (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))
(/ 1 y)
(/ (+ 1 (/ x y)) y)
(/ (- (+ 1 (/ (pow x 2) (pow y 2))) (* -1 (/ x y))) y)
(/ (- (+ 1 (/ (pow x 3) (pow y 3))) (+ (* -1 (/ x y)) (* -1 (/ (pow x 2) (pow y 2))))) y)
(/ 1 y)
(* -1 (/ (- (* -1 (/ x y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) y) (* -1 x)) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (pow x 2)) y)) (* -1 x)) y)) 1) y))
(/ 1 y)
(+ (/ 1 y) (/ x (pow y 2)))
(+ (* x (+ (/ 1 (pow y 2)) (/ x (pow y 3)))) (/ 1 y))
(+ (* x (+ (* x (+ (/ 1 (pow y 3)) (/ x (pow y 4)))) (/ 1 (pow y 2)))) (/ 1 y))
(/ -1 x)
(/ (- (* -1 (/ y x)) 1) x)
(/ (- (* -1 (/ (pow y 2) (pow x 2))) (+ 1 (/ y x))) x)
(/ (- (* -1 (/ (pow y 3) (pow x 3))) (+ 1 (+ (/ y x) (/ (pow y 2) (pow x 2))))) x)
(/ -1 x)
(* -1 (/ (+ 1 (/ y x)) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) y) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x)) y) x))) x))
(* (sqrt x) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ 1 x)) (/ y (sqrt -1)))) (* (sqrt x) (sqrt -1)))
(+ (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ y (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))) (* (sqrt x) (sqrt -1)))
(+ (* y (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ y (pow (sqrt -1) 5)))))))) (* (sqrt x) (sqrt -1)))
(sqrt y)
(* y (+ (sqrt (/ 1 y)) (* -1/2 (* x (sqrt (/ 1 (pow y 3)))))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* -1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7)))))))))
(* -1 (sqrt y))
(* -1 (* y (+ (sqrt (/ 1 y)) (* 1/2 (* x (sqrt (/ 1 (pow y 3))))))))
(* -1 (* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* 1/2 (* x (sqrt (/ 1 (pow y 3)))))))))
(* -1 (* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7))))) (* 1/2 (* x (sqrt (/ 1 (pow y 3))))))))))
(sqrt y)
(+ (sqrt y) (* -1/2 (* x (sqrt (/ 1 y)))))
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* -1/8 (* x (sqrt (/ 1 (pow y 3))))))))
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* x (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* -1/16 (* x (sqrt (/ 1 (pow y 5))))))))))
(* (sqrt x) (sqrt -1))
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow y 3) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* -1 (* (sqrt x) (sqrt -1)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow y 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
(* (sqrt (/ 1 x)) (sqrt -1))
(+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))
(+ (* y (+ (* -1/2 (* (sqrt x) (/ (* y (+ (* 1/4 (/ 1 (* (pow x 3) (pow (sqrt -1) 2)))) (/ 1 (pow x 3)))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))))) (* (sqrt (/ 1 x)) (sqrt -1)))
(+ (* y (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* y (+ (* -1/2 (* (sqrt x) (/ (* y (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow x 3) (pow (sqrt -1) 2)))) (/ 1 (pow x 3))) (* x (pow (sqrt -1) 2)))) (/ 1 (pow x 4)))) (sqrt -1)))) (* -1/2 (* (sqrt x) (/ (+ (* 1/4 (/ 1 (* (pow x 3) (pow (sqrt -1) 2)))) (/ 1 (pow x 3))) (sqrt -1)))))))) (* (sqrt (/ 1 x)) (sqrt -1)))
(sqrt (/ 1 y))
(+ (sqrt (/ 1 y)) (* 1/2 (* x (sqrt (/ 1 (pow y 3))))))
(+ (sqrt (/ 1 y)) (+ (* 1/2 (* x (sqrt (/ 1 (pow y 3))))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 5)))))))
(+ (sqrt (/ 1 y)) (+ (* -1/2 (* (sqrt (/ 1 (pow y 7))) (+ (* -1 (pow x 3)) (* 1/4 (* (pow x 2) y))))) (+ (* 1/2 (* x (sqrt (/ 1 (pow y 3))))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 5))))))))
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2))
(+ (* -1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (+ (* -1/2 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 y)) (* (pow (sqrt -1) 2) (+ (* -1/4 (* (pow x 2) y)) (pow x 3))))) (* 1/2 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt y)))) (pow y 3))) (+ (* -1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))
(sqrt (/ 1 y))
(+ (sqrt (/ 1 y)) (* 1/2 (* x (sqrt (/ 1 (pow y 3))))))
(+ (sqrt (/ 1 y)) (* x (+ (* 3/8 (* x (sqrt (/ 1 (pow y 5))))) (* 1/2 (sqrt (/ 1 (pow y 3)))))))
(+ (sqrt (/ 1 y)) (* x (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (* x (+ (* 5/16 (* x (sqrt (/ 1 (pow y 7))))) (* 3/8 (sqrt (/ 1 (pow y 5)))))))))
(* (sqrt (/ 1 x)) (sqrt -1))
(+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (/ (+ (* 1/4 (/ (* x (pow y 2)) (pow (sqrt -1) 2))) (pow y 3)) (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* (sqrt (/ 1 x)) (sqrt -1))
(+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt x) (* (pow y 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 x)) (* (sqrt -1) (+ (* -1/4 (* x (pow y 2))) (pow y 3)))))) (pow x 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))
(/ -1 x)
(- (* -1 (/ y (pow x 2))) (/ 1 x))
(- (* y (- (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))
(- (* y (- (* y (- (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))
(/ 1 y)
(/ (+ 1 (/ x y)) y)
(/ (- (+ 1 (/ (pow x 2) (pow y 2))) (* -1 (/ x y))) y)
(/ (- (+ 1 (/ (pow x 3) (pow y 3))) (+ (* -1 (/ x y)) (* -1 (/ (pow x 2) (pow y 2))))) y)
(/ 1 y)
(* -1 (/ (- (* -1 (/ x y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) y) (* -1 x)) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (pow x 2)) y)) (* -1 x)) y)) 1) y))
(/ 1 y)
(+ (/ 1 y) (/ x (pow y 2)))
(+ (* x (+ (/ 1 (pow y 2)) (/ x (pow y 3)))) (/ 1 y))
(+ (* x (+ (* x (+ (/ 1 (pow y 3)) (/ x (pow y 4)))) (/ 1 (pow y 2)))) (/ 1 y))
(/ -1 x)
(/ (- (* -1 (/ y x)) 1) x)
(/ (- (* -1 (/ (pow y 2) (pow x 2))) (+ 1 (/ y x))) x)
(/ (- (* -1 (/ (pow y 3) (pow x 3))) (+ 1 (+ (/ y x) (/ (pow y 2) (pow x 2))))) x)
(/ -1 x)
(* -1 (/ (+ 1 (/ y x)) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) y) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x)) y) x))) x))
(/ 1 y)
(+ (/ 1 y) (/ x (pow y 2)))
(+ (/ 1 y) (/ x (pow y 2)))
(+ (/ 1 y) (/ x (pow y 2)))
(/ x (pow y 2))
(* x (+ (/ 1 (* x y)) (/ 1 (pow y 2))))
(* x (+ (/ 1 (* x y)) (/ 1 (pow y 2))))
(* x (+ (/ 1 (* x y)) (/ 1 (pow y 2))))
(/ x (pow y 2))
(* x (+ (/ 1 (* x y)) (/ 1 (pow y 2))))
(* x (+ (/ 1 (* x y)) (/ 1 (pow y 2))))
(* x (+ (/ 1 (* x y)) (/ 1 (pow y 2))))
(/ x (pow y 2))
(/ (+ x y) (pow y 2))
(/ (+ x y) (pow y 2))
(/ (+ x y) (pow y 2))
(/ 1 y)
(/ (+ 1 (/ x y)) y)
(/ (+ 1 (/ x y)) y)
(/ (+ 1 (/ x y)) y)
(/ 1 y)
(* -1 (/ (- (* -1 (/ x y)) 1) y))
(* -1 (/ (- (* -1 (/ x y)) 1) y))
(* -1 (/ (- (* -1 (/ x y)) 1) y))

Outputs
(* (sqrt x) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))
(+ (* 1/2 (* (sqrt (/ 1 x)) (/ y (sqrt -1)))) (* (sqrt x) (sqrt -1)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)))
(+ (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ y (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))) (* (sqrt x) (sqrt -1)))
(fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 y (neg.f64 (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))) y (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)))
(+ (* y (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ y (pow (sqrt -1) 5)))))))) (* (sqrt x) (sqrt -1)))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64))) y (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))) y (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)))
(sqrt y)
(sqrt.f64 y)
(* y (+ (sqrt (/ 1 y)) (* -1/2 (* x (sqrt (/ 1 (pow y 3)))))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) y))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) y)
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))))))
(.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) x) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) y))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) y)
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* -1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7)))))))))
(.f64 (+.f64 (fma.f64 (.f64 (.f64 #s(literal -1/16 binary64) (.f64 x x)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) x) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (.f64 (.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) y)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) y)
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(sqrt.f64 y)
(* -1 (* y (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(.f64 (neg.f64 y) (neg.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) y))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))
(.f64 (neg.f64 y) (neg.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) x) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) y))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (* (pow x 3) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))
(.f64 (neg.f64 y) (fma.f64 (.f64 (.f64 #s(literal -1/16 binary64) (.f64 x x)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (neg.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) x) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) y))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))))
(sqrt y)
(sqrt.f64 y)
(+ (sqrt y) (* -1/2 (* x (sqrt (/ 1 y)))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* -1/8 (* x (sqrt (/ 1 (pow y 3))))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) y))) (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) x (sqrt.f64 y))
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* x (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* -1/16 (* x (sqrt (/ 1 (pow y 5))))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/16 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) y))) #s(literal -1/8 binary64))) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) x (sqrt.f64 y))
(* (sqrt x) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))) x)
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 y (/.f64 y (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))) x)
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow y 3) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 y (/.f64 y (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (.f64 (.f64 (.f64 y y) (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))) #s(literal 1/16 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))) x)
(* -1 (* (sqrt x) (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 x))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(.f64 (neg.f64 x) (.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)) y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(.f64 (neg.f64 x) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -1 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) #s(literal 1/2 binary64)) y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow y 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
(.f64 (neg.f64 x) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal 1/16 binary64)) (.f64 (.f64 y y) y) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)) y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(* -1 x)
(neg.f64 x)
(- y x)
(-.f64 y x)
(- y x)
(-.f64 y x)
(- y x)
(-.f64 y x)
y
(* y (+ 1 (* -1 (/ x y))))
(fma.f64 (/.f64 (neg.f64 x) y) y y)
(* y (+ 1 (* -1 (/ x y))))
(fma.f64 (/.f64 (neg.f64 x) y) y y)
(* y (+ 1 (* -1 (/ x y))))
(fma.f64 (/.f64 (neg.f64 x) y) y y)
y
(* -1 (* y (- (/ x y) 1)))
(fma.f64 (/.f64 (neg.f64 x) y) y y)
(* -1 (* y (- (/ x y) 1)))
(fma.f64 (/.f64 (neg.f64 x) y) y y)
(* -1 (* y (- (/ x y) 1)))
(fma.f64 (/.f64 (neg.f64 x) y) y y)
y
(+ y (* -1 x))
(-.f64 y x)
(+ y (* -1 x))
(-.f64 y x)
(+ y (* -1 x))
(-.f64 y x)
(* -1 x)
(neg.f64 x)
(* x (- (/ y x) 1))
(fma.f64 (/.f64 y x) x (neg.f64 x))
(* x (- (/ y x) 1))
(fma.f64 (/.f64 y x) x (neg.f64 x))
(* x (- (/ y x) 1))
(fma.f64 (/.f64 y x) x (neg.f64 x))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(fma.f64 (/.f64 y x) x (neg.f64 x))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(fma.f64 (/.f64 y x) x (neg.f64 x))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(fma.f64 (/.f64 y x) x (neg.f64 x))
(sqrt (/ 1 (fabs (/ 1 (- y x)))))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt (/ 1 (fabs (/ 1 (- y x)))))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt (/ 1 (fabs (/ 1 (- y x)))))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt (/ 1 (fabs (/ 1 (- y x)))))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt (/ 1 (fabs (/ 1 (- y x)))))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt (/ 1 (fabs (/ 1 (- y x)))))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt (/ 1 (fabs (/ 1 (- y x)))))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt (/ 1 (fabs (/ 1 (- y x)))))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt (/ 1 (fabs (/ -1 (+ x (* -1 y))))))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt (/ 1 (fabs (/ -1 (+ x (* -1 y))))))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt (/ 1 (fabs (/ -1 (+ x (* -1 y))))))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt (/ 1 (fabs (/ -1 (+ x (* -1 y))))))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt (/ 1 (fabs (/ 1 (- y x)))))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
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(sqrt.f64 (fabs.f64 (-.f64 x y)))
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(sqrt.f64 (fabs.f64 (-.f64 x y)))
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(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt (/ 1 (fabs (/ 1 (- y x)))))
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(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt (/ 1 (fabs (/ 1 (- y x)))))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt (/ 1 (fabs (/ 1 (+ y (* -1 x))))))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt (/ 1 (fabs (/ 1 (+ y (* -1 x))))))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt (/ 1 (fabs (/ 1 (+ y (* -1 x))))))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt (/ 1 (fabs (/ 1 (+ y (* -1 x))))))
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(sqrt (fabs (/ -1 (+ x (* -1 y)))))
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(sqrt (fabs (/ -1 (+ x (* -1 y)))))
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(+ (sqrt (/ 1 y)) (+ (* -1/2 (* (sqrt (/ 1 (pow y 7))) (+ (* -1 (pow x 3)) (* 1/4 (* (pow x 2) y))))) (+ (* 1/2 (* x (sqrt (/ 1 (pow y 3))))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 5))))))))
(fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/4 binary64) y) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (fma.f64 (.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) x (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) y))))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(+ (* -1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) y))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(+ (* -1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (+ (* -1/2 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))
(fma.f64 (.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) x (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) y))))) #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 y)) (* (pow (sqrt -1) 2) (+ (* -1/4 (* (pow x 2) y)) (pow x 3))))) (* 1/2 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt y)))) (pow y 3))) (+ (* -1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (.f64 (neg.f64 x) x) (sqrt.f64 y) (.f64 (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/4 binary64) y) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (.f64 (.f64 y y) y)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) y))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))
(sqrt (/ 1 y))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(+ (sqrt (/ 1 y)) (* 1/2 (* x (sqrt (/ 1 (pow y 3))))))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) y))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(+ (sqrt (/ 1 y)) (* x (+ (* 3/8 (* x (sqrt (/ 1 (pow y 5))))) (* 1/2 (sqrt (/ 1 (pow y 3)))))))
(fma.f64 (fma.f64 (.f64 #s(literal 3/8 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) y))) #s(literal 1/2 binary64))) x (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(+ (sqrt (/ 1 y)) (* x (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (* x (+ (* 5/16 (* x (sqrt (/ 1 (pow y 7))))) (* 3/8 (sqrt (/ 1 (pow y 5)))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 5/16 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (.f64 #s(literal 3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) x (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) y))) #s(literal 1/2 binary64))) x (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(* (sqrt (/ 1 x)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))
(fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (.f64 y (/.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (/ (+ (* 1/4 (/ (* x (pow y 2)) (pow (sqrt -1) 2))) (pow y 3)) (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) (/.f64 y (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (.f64 y (/.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 (/.f64 (fma.f64 (.f64 y y) y (.f64 (/.f64 (.f64 (.f64 y y) x) #s(literal -1 binary64)) #s(literal 1/4 binary64))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))
(* (sqrt (/ 1 x)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)))) y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))
(fma.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/2 binary64)) (fma.f64 (.f64 y y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) y)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt x) (* (pow y 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 x)) (* (sqrt -1) (+ (* -1/4 (* x (pow y 2))) (pow y 3)))))) (pow x 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (.f64 (.f64 y y) (fma.f64 #s(literal -1/4 binary64) x y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (.f64 (sqrt.f64 x) y) y))) (.f64 (.f64 x x) x)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) x)))) y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(- (* -1 (/ y (pow x 2))) (/ 1 x))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) x)
(- (* y (- (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))
(fma.f64 (.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 x x))) y (/.f64 #s(literal -1 binary64) x))
(- (* y (- (* y (- (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 x x) x)) (/.f64 y (pow.f64 x #s(literal 4 binary64)))) y (/.f64 #s(literal -1 binary64) (*.f64 x x))) y (/.f64 #s(literal -1 binary64) x))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ (+ 1 (/ x y)) y)
(/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(/ (- (+ 1 (/ (pow x 2) (pow y 2))) (* -1 (/ x y))) y)
(/.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal 1 binary64)) y)
(/ (- (+ 1 (/ (pow x 3) (pow y 3))) (+ (* -1 (/ x y)) (* -1 (/ (pow x 2) (pow y 2))))) y)
(/.f64 (+.f64 (fma.f64 (.f64 x (/.f64 x (.f64 y y))) (-.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 x y)) #s(literal 1 binary64)) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(* -1 (/ (- (* -1 (/ x y)) 1) y))
(/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) y) (* -1 x)) y)) 1) y))
(/.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal 1 binary64)) y)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (pow x 2)) y)) (* -1 x)) y)) 1) y))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 x (fma.f64 x (/.f64 x y) x)) y) x) y) #s(literal 1 binary64)) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ (/ 1 y) (/ x (pow y 2)))
(+.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) y))
(+ (* x (+ (/ 1 (pow y 2)) (/ x (pow y 3)))) (/ 1 y))
(fma.f64 (+.f64 (/.f64 x (.f64 (.f64 y y) y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) x (/.f64 #s(literal 1 binary64) y))
(+ (* x (+ (* x (+ (/ 1 (pow y 3)) (/ x (pow y 4)))) (/ 1 (pow y 2)))) (/ 1 y))
(fma.f64 (fma.f64 (+.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) y))) x (/.f64 #s(literal 1 binary64) (*.f64 y y))) x (/.f64 #s(literal 1 binary64) y))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- (* -1 (/ y x)) 1) x)
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) x)
(/ (- (* -1 (/ (pow y 2) (pow x 2))) (+ 1 (/ y x))) x)
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 y (/.f64 y x) y) x)) x)
(/ (- (* -1 (/ (pow y 3) (pow x 3))) (+ 1 (+ (/ y x) (/ (pow y 2) (pow x 2))))) x)
(/.f64 (neg.f64 (fma.f64 (.f64 y y) (/.f64 y (.f64 (*.f64 x x) x)) (fma.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 y x) #s(literal 1 binary64)))) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (/ y x)) x))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) x)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) y) x))) x))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 y (/.f64 y x) y) x)) x)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x)) y) x))) x))
(/.f64 (+.f64 (/.f64 (-.f64 (neg.f64 y) (/.f64 (*.f64 y (fma.f64 y (/.f64 y x) y)) x)) x) #s(literal -1 binary64)) x)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ (/ 1 y) (/ x (pow y 2)))
(+.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) y))
(+ (/ 1 y) (/ x (pow y 2)))
(+.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) y))
(+ (/ 1 y) (/ x (pow y 2)))
(+.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(* x (+ (/ 1 (* x y)) (/ 1 (pow y 2))))
(+.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) y))
(* x (+ (/ 1 (* x y)) (/ 1 (pow y 2))))
(+.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) y))
(* x (+ (/ 1 (* x y)) (/ 1 (pow y 2))))
(+.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(* x (+ (/ 1 (* x y)) (/ 1 (pow y 2))))
(+.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) y))
(* x (+ (/ 1 (* x y)) (/ 1 (pow y 2))))
(+.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) y))
(* x (+ (/ 1 (* x y)) (/ 1 (pow y 2))))
(+.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ (+ x y) (pow y 2))
(/.f64 (+.f64 y x) (*.f64 y y))
(/ (+ x y) (pow y 2))
(/.f64 (+.f64 y x) (*.f64 y y))
(/ (+ x y) (pow y 2))
(/.f64 (+.f64 y x) (*.f64 y y))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ (+ 1 (/ x y)) y)
(/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(/ (+ 1 (/ x y)) y)
(/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(/ (+ 1 (/ x y)) y)
(/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(* -1 (/ (- (* -1 (/ x y)) 1) y))
(/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(* -1 (/ (- (* -1 (/ x y)) 1) y))
(/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(* -1 (/ (- (* -1 (/ x y)) 1) y))
(/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)

rewrite238.0ms (3.9%)

Memory

-29.6MiB live, 138.1MiB allocated

Rules

3 384×	`lower-*.f64`
3 384×	`lower-*.f32`
3 080×	`lower-/.f32`
3 070×	`lower-/.f64`
3 050×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	92
0	29	88
1	101	86
2	591	86
3	7376	86
0	8854	86

Stop Event

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

Counts

10 → 562

Calls

Call 1

Inputs
(sqrt.f64 (-.f64 y x))
(-.f64 y x)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 #s(approx (/ 1 (- y x)) (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y)))))
(sqrt.f64 (fabs.f64 #s(approx (/ 1 (- y x)) (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y))))
(fabs.f64 #s(approx (/ 1 (- y x)) (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y)))
#s(approx (/ 1 (- y x)) (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(/.f64 #s(literal 1 binary64) (-.f64 y x))
(/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y)

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

eval191.0ms (3.1%)

Memory: 4.0MiB live, 197.2MiB allocated
Compiler: Compiled 19 103 to 2 514 computations (86.8% saved)

prune256.0ms (4.2%)

Memory

16.2MiB live, 216.9MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	919	4	923
Fresh	0	0	0
Picked	2	1	3
Done	0	0	0
Total	921	5	926

Accuracy

100.0%

Counts

926 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.8%	(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (- y x)) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y))))
✓	100.0%	(sqrt.f64 (-.f64 y x))
▶	85.3%	(sqrt.f64 #s(approx (- y x) (fma.f64 (/.f64 (neg.f64 x) y) y y)))
▶	50.6%	(sqrt.f64 #s(approx (- y x) (neg.f64 x)))
▶	51.1%	#s(approx (/ 1 (sqrt (/ 1 (- y x)))) (sqrt.f64 y))

Compiler

Compiled 41 to 25 computations (39% saved)

simplify168.0ms (2.8%)

Memory

-12.1MiB live, 102.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (/ 1 (- y x)) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y))
cost-diff	0	(sqrt.f64 #s(approx (/ 1 (- y x)) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)))
cost-diff	0	(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (- y x)) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y))))
cost-diff	384	(/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)
cost-diff	0	(/.f64 (neg.f64 x) y)
cost-diff	0	#s(approx (- y x) (fma.f64 (/.f64 (neg.f64 x) y) y y))
cost-diff	0	(sqrt.f64 #s(approx (- y x) (fma.f64 (/.f64 (neg.f64 x) y) y y)))
cost-diff	1024	(fma.f64 (/.f64 (neg.f64 x) y) y y)
cost-diff	0	(neg.f64 x)
cost-diff	0	#s(approx (- y x) (neg.f64 x))
cost-diff	0	(sqrt.f64 #s(approx (- y x) (neg.f64 x)))
cost-diff	0	(sqrt.f64 y)
cost-diff	0	#s(approx (/ 1 (sqrt (/ 1 (- y x)))) (sqrt.f64 y))

Rules

4 324×	`lower-*.f64`
4 324×	`lower-*.f32`
4 138×	`lower-fma.f32`
4 136×	`lower-fma.f64`
1 516×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	129
0	34	129
1	48	129
2	72	117
3	133	117
4	301	117
5	844	117
6	1708	117
7	3147	117
8	5101	117
9	6066	117
10	6787	117
11	7286	117
0	8012	117

Stop Event

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

Calls

Call 1

Inputs
#s(approx (/ 1 (sqrt (/ 1 (- y x)))) (sqrt.f64 y))
(sqrt.f64 y)
y
(sqrt.f64 #s(approx (- y x) (neg.f64 x)))
#s(approx (- y x) (neg.f64 x))
(neg.f64 x)
x
(sqrt.f64 #s(approx (- y x) (fma.f64 (/.f64 (neg.f64 x) y) y y)))
#s(approx (- y x) (fma.f64 (/.f64 (neg.f64 x) y) y y))
(fma.f64 (/.f64 (neg.f64 x) y) y y)
(/.f64 (neg.f64 x) y)
(neg.f64 x)
x
y
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (- y x)) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y))))
#s(literal 1 binary64)
(sqrt.f64 #s(approx (/ 1 (- y x)) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)))
#s(approx (/ 1 (- y x)) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y))
(/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 x y)
x
y

Outputs
#s(approx (/ 1 (sqrt (/ 1 (- y x)))) (sqrt.f64 y))
(sqrt.f64 y)
y
(sqrt.f64 #s(approx (- y x) (neg.f64 x)))
#s(approx (- y x) (neg.f64 x))
(neg.f64 x)
x
(sqrt.f64 #s(approx (- y x) (fma.f64 (/.f64 (neg.f64 x) y) y y)))
(sqrt.f64 #s(approx (- y x) (-.f64 y x)))
#s(approx (- y x) (fma.f64 (/.f64 (neg.f64 x) y) y y))
#s(approx (- y x) (-.f64 y x))
(fma.f64 (/.f64 (neg.f64 x) y) y y)
(-.f64 y x)
(/.f64 (neg.f64 x) y)
(neg.f64 x)
x
y
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (- y x)) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (- y x)) (/.f64 (+.f64 x y) (*.f64 y y)))))
#s(literal 1 binary64)
(sqrt.f64 #s(approx (/ 1 (- y x)) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)))
(sqrt.f64 #s(approx (/ 1 (- y x)) (/.f64 (+.f64 x y) (*.f64 y y))))
#s(approx (/ 1 (- y x)) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y))
#s(approx (/ 1 (- y x)) (/.f64 (+.f64 x y) (*.f64 y y)))
(/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(/.f64 (+.f64 x y) (*.f64 y y))
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(-.f64 (/.f64 x y) #s(literal -1 binary64))
(/.f64 x y)
x
y

localize192.0ms (3.2%)

Memory

-3.8MiB live, 88.5MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0.01953125	(/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)
accuracy	0.11328125	(sqrt.f64 #s(approx (/ 1 (- y x)) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)))
accuracy	0.203125	(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (- y x)) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y))))
accuracy	16.296376589438676	#s(approx (/ 1 (- y x)) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y))
accuracy	0	(neg.f64 x)
accuracy	0	#s(approx (- y x) (fma.f64 (/.f64 (neg.f64 x) y) y y))
accuracy	0.00390625	(sqrt.f64 #s(approx (- y x) (fma.f64 (/.f64 (neg.f64 x) y) y y)))
accuracy	5.221758289873536	(fma.f64 (/.f64 (neg.f64 x) y) y y)
accuracy	0	(neg.f64 x)
accuracy	0.00390625	(sqrt.f64 #s(approx (- y x) (neg.f64 x)))
accuracy	31.33917339263646	#s(approx (- y x) (neg.f64 x))
accuracy	0	(sqrt.f64 y)
accuracy	15.821928611657153	#s(approx (/ 1 (sqrt (/ 1 (- y x)))) (sqrt.f64 y))

Samples

76.0ms	62×	0	invalid
23.0ms	194×	0	valid

Compiler

Compiled 83 to 18 computations (78.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 89.0ms

ival-div: 77.0ms (86.7% of total)

ival-sqrt: 5.0ms (5.6% of total)

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

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

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

ival-neg: 1.0ms (1.1% of total)

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

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

exact: 0.0ms (0% of total)

series13.0ms (0.2%)

Memory

21.1MiB live, 21.1MiB allocated

Counts

13 → 288

Calls

Call 1

Inputs
#s(alt #s(approx (/ 1 (sqrt (/ 1 (- y x)))) (sqrt.f64 y)) (patch #s(approx (/ 1 (sqrt (/ 1 (- y x)))) (sqrt.f64 y)) #<representation binary64>) () ())
#s(alt (sqrt.f64 y) (patch (sqrt.f64 y) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (- y x) (neg.f64 x))) (patch (sqrt.f64 #s(approx (- y x) (neg.f64 x))) #<representation binary64>) () ())
#s(alt #s(approx (- y x) (neg.f64 x)) (patch #s(approx (- y x) (neg.f64 x)) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (neg.f64 x) y) y y) (patch (fma.f64 (/.f64 (neg.f64 x) y) y y) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (- y x) (fma.f64 (/.f64 (neg.f64 x) y) y y))) (patch (sqrt.f64 #s(approx (- y x) (fma.f64 (/.f64 (neg.f64 x) y) y y))) #<representation binary64>) () ())
#s(alt #s(approx (- y x) (fma.f64 (/.f64 (neg.f64 x) y) y y)) (patch #s(approx (- y x) (fma.f64 (/.f64 (neg.f64 x) y) y y)) #<representation binary64>) () ())
#s(alt (/.f64 (neg.f64 x) y) (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y) (patch (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (- y x)) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)))) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (- y x)) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (/ 1 (- y x)) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y))) (patch (sqrt.f64 #s(approx (/ 1 (- y x)) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y))) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (- y x)) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (patch #s(approx (/ 1 (- y x)) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)) #<representation binary64>) () ())

Outputs
#s(alt (* (sqrt x) (sqrt -1)) (taylor 0 y) (#s(alt #s(approx (/ 1 (sqrt (/ 1 (- y x)))) (sqrt.f64 y)) (patch #s(approx (/ 1 (sqrt (/ 1 (- y x)))) (sqrt.f64 y)) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))) (taylor -inf x) (#s(alt (sqrt.f64 #s(approx (/ 1 (- y x)) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y))) (patch (sqrt.f64 #s(approx (/ 1 (- y x)) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y))) #<representation binary64>) () ())) ())
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#s(alt (- (* -1 (/ y (pow x 2))) (/ 1 x)) (taylor 0 y) (#s(alt #s(approx (/ 1 (- y x)) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (patch #s(approx (/ 1 (- y x)) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
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#s(alt (/ (- (+ 1 (/ (pow x 2) (pow y 2))) (* -1 (/ x y))) y) (taylor inf y) (#s(alt #s(approx (/ 1 (- y x)) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (patch #s(approx (/ 1 (- y x)) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
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#s(alt (+ (/ 1 y) (/ x (pow y 2))) (taylor 0 x) (#s(alt #s(approx (/ 1 (- y x)) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (patch #s(approx (/ 1 (- y x)) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
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#s(alt (/ (- (* -1 (/ y x)) 1) x) (taylor inf x) (#s(alt #s(approx (/ 1 (- y x)) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (patch #s(approx (/ 1 (- y x)) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (pow y 2) (pow x 2))) (+ 1 (/ y x))) x) (taylor inf x) (#s(alt #s(approx (/ 1 (- y x)) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (patch #s(approx (/ 1 (- y x)) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (pow y 3) (pow x 3))) (+ 1 (+ (/ y x) (/ (pow y 2) (pow x 2))))) x) (taylor inf x) (#s(alt #s(approx (/ 1 (- y x)) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (patch #s(approx (/ 1 (- y x)) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor -inf x) (#s(alt #s(approx (/ 1 (- y x)) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (patch #s(approx (/ 1 (- y x)) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1 (/ y x)) x)) (taylor -inf x) (#s(alt #s(approx (/ 1 (- y x)) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (patch #s(approx (/ 1 (- y x)) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) y) x))) x)) (taylor -inf x) (#s(alt #s(approx (/ 1 (- y x)) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (patch #s(approx (/ 1 (- y x)) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x)) y) x))) x)) (taylor -inf x) (#s(alt #s(approx (/ 1 (- y x)) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (patch #s(approx (/ 1 (- y x)) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())

Calls

72 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(/ (neg x) y)
0.0ms	x	@	0	(/ (neg x) y)
0.0ms	y	@	-inf	(sqrt y)
0.0ms	y	@	0	(/ (neg x) y)
0.0ms	y	@	inf	(/ (neg x) y)

simplify442.0ms (7.3%)

Memory

2.7MiB live, 230.1MiB allocated

Algorithm

1×	egg-herbie

Rules

16 550×	`lower-fma.f64`
16 550×	`lower-fma.f32`
5 750×	`lower-*.f64`
5 750×	`lower-*.f32`
4 980×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	400	4286
1	1245	4059
2	4300	3940
0	8354	3742

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 279

Calls

Call 1

Inputs
(* (sqrt x) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ 1 x)) (/ y (sqrt -1)))) (* (sqrt x) (sqrt -1)))
(+ (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ y (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))) (* (sqrt x) (sqrt -1)))
(+ (* y (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ y (pow (sqrt -1) 5)))))))) (* (sqrt x) (sqrt -1)))
(sqrt y)
(* y (+ (sqrt (/ 1 y)) (* -1/2 (* x (sqrt (/ 1 (pow y 3)))))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* -1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7)))))))))
(* -1 (sqrt y))
(* -1 (* y (+ (sqrt (/ 1 y)) (* 1/2 (* x (sqrt (/ 1 (pow y 3))))))))
(* -1 (* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* 1/2 (* x (sqrt (/ 1 (pow y 3)))))))))
(* -1 (* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7))))) (* 1/2 (* x (sqrt (/ 1 (pow y 3))))))))))
(sqrt y)
(+ (sqrt y) (* -1/2 (* x (sqrt (/ 1 y)))))
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* -1/8 (* x (sqrt (/ 1 (pow y 3))))))))
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* x (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* -1/16 (* x (sqrt (/ 1 (pow y 5))))))))))
(* (sqrt x) (sqrt -1))
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow y 3) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* -1 (* (sqrt x) (sqrt -1)))
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Outputs
(* (sqrt x) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))
(+ (* 1/2 (* (sqrt (/ 1 x)) (/ y (sqrt -1)))) (* (sqrt x) (sqrt -1)))
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(* -1 (/ (+ 1 (/ y x)) x))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) x)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) y) x))) x))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 y (/.f64 y x) y) x)) x)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x)) y) x))) x))
(/.f64 (+.f64 (/.f64 (-.f64 (neg.f64 y) (/.f64 (*.f64 y (fma.f64 y (/.f64 y x) y)) x)) x) #s(literal -1 binary64)) x)

rewrite111.0ms (1.8%)

Memory

9.2MiB live, 165.8MiB allocated

Rules

4 752×	`lower-fma.f32`
4 750×	`lower-fma.f64`
3 234×	`lower-*.f64`
3 234×	`lower-*.f32`
2 892×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	112
0	34	112
1	127	107
2	793	91
0	10528	91

Stop Event

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

Counts

13 → 394

Calls

Call 1

Inputs
#s(approx (/ 1 (sqrt (/ 1 (- y x)))) (sqrt.f64 y))
(sqrt.f64 y)
(sqrt.f64 #s(approx (- y x) (neg.f64 x)))
#s(approx (- y x) (neg.f64 x))
(neg.f64 x)
(fma.f64 (/.f64 (neg.f64 x) y) y y)
(sqrt.f64 #s(approx (- y x) (fma.f64 (/.f64 (neg.f64 x) y) y y)))
#s(approx (- y x) (fma.f64 (/.f64 (neg.f64 x) y) y y))
(/.f64 (neg.f64 x) y)
(/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (- y x)) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y))))
(sqrt.f64 #s(approx (/ 1 (- y x)) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)))
#s(approx (/ 1 (- y x)) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y))

Outputs
#s(approx (/ 1 (sqrt (/ 1 (- y x)))) (sqrt.f64 y))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1/4 binary64))
(pow.f64 y #s(literal 1/2 binary64))
(sqrt.f64 y)
(exp.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(approx (- y x) x) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- y x) x) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 (log.f64 #s(approx (- y x) x))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 #s(approx (- y x) x) #s(approx (- y x) x)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 #s(approx (- y x) x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 #s(approx (- y x) x) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (- y x) x))
(exp.f64 (*.f64 (log.f64 #s(approx (- y x) x)) #s(literal 1/2 binary64)))
#s(approx (- y x) x)
(.f64 (/.f64 y (.f64 y #s(literal -1 binary64))) x)
(*.f64 (/.f64 y (neg.f64 y)) x)
(.f64 (.f64 y #s(literal -1 binary64)) (/.f64 x y))
(.f64 (.f64 (*.f64 x x) x) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))
(.f64 (.f64 x y) (/.f64 #s(literal -1 binary64) y))
(.f64 (.f64 x y) (/.f64 #s(literal 1 binary64) y))
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x y))
(.f64 (.f64 x x) (/.f64 #s(literal -1 binary64) x))
(*.f64 (neg.f64 y) (/.f64 x y))
(*.f64 #s(literal -1 binary64) x)
(*.f64 (/.f64 x y) (neg.f64 y))
(*.f64 (/.f64 x y) y)
(.f64 x (.f64 (/.f64 #s(literal -1 binary64) y) y))
(*.f64 x #s(literal -1 binary64))
(*.f64 x #s(literal 1 binary64))
(*.f64 y (/.f64 x y))
(*.f64 #s(literal 1 binary64) x)
(pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(/.f64 (/.f64 (*.f64 x y) #s(literal -1 binary64)) y)
(/.f64 (*.f64 y #s(literal -1 binary64)) (/.f64 y x))
(/.f64 (.f64 (.f64 x x) x) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) #s(literal 0 binary64))))
(/.f64 (.f64 (.f64 x x) x) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (.f64 (.f64 x x) x) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (*.f64 x y) (neg.f64 y))
(/.f64 (*.f64 x y) y)
(/.f64 (*.f64 x x) x)
(/.f64 (neg.f64 y) (/.f64 y x))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 x #s(literal -1 binary64))
(/.f64 x #s(literal 1 binary64))
(/.f64 y (/.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (.f64 (.f64 x x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(neg.f64 x)
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) x)
(-.f64 (/.f64 #s(literal 0 binary64) x) x)
(-.f64 #s(literal 0 binary64) x)
(+.f64 #s(literal 0 binary64) x)
x
(.f64 (/.f64 (.f64 (-.f64 x y) (-.f64 y x)) (.f64 (fma.f64 x x (.f64 y (-.f64 y x))) (-.f64 x y))) (fma.f64 x x (*.f64 y (-.f64 y x))))
(.f64 (/.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)) (.f64 (fma.f64 x x (.f64 y (-.f64 y x))) (fma.f64 x x (.f64 y (-.f64 y x))))) (fma.f64 x x (.f64 y (-.f64 y x))))
(.f64 (/.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)) (fma.f64 (.f64 (.f64 (.f64 y y) y) (.f64 y y)) y (.f64 (.f64 (.f64 (.f64 x (-.f64 y x)) x) (-.f64 y x)) (.f64 x (-.f64 y x))))) (fma.f64 (.f64 y y) (.f64 y y) (.f64 (.f64 x (-.f64 y x)) (-.f64 (.f64 x (-.f64 y x)) (*.f64 y y)))))
(.f64 (/.f64 (fma.f64 x x (.f64 y y)) (*.f64 (-.f64 x y) (-.f64 y x))) (-.f64 x y))
(.f64 (/.f64 (fma.f64 x x (.f64 y y)) (.f64 (fma.f64 x x (.f64 y (-.f64 y x))) (-.f64 x y))) (fma.f64 (neg.f64 y) y (*.f64 x (-.f64 y x))))
(.f64 (/.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)) (.f64 (fma.f64 x x (.f64 y (-.f64 y x))) (fma.f64 (neg.f64 y) y (.f64 x (-.f64 y x))))) (fma.f64 (neg.f64 y) y (.f64 x (-.f64 y x))))
(.f64 (/.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)) (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 x x)) x (.f64 (.f64 (.f64 (.f64 y (-.f64 y x)) y) (-.f64 y x)) (.f64 y (-.f64 y x))))) (fma.f64 (.f64 (.f64 x x) x) x (.f64 (.f64 y (-.f64 y x)) (fma.f64 x x (.f64 y (-.f64 y x))))))
(*.f64 (/.f64 (-.f64 y x) (-.f64 y x)) (-.f64 y x))
(.f64 (/.f64 (.f64 (-.f64 x y) (-.f64 y x)) (*.f64 (-.f64 x y) (-.f64 y x))) (-.f64 y x))
(.f64 (/.f64 (fma.f64 x x (.f64 y y)) (fma.f64 x x (*.f64 y y))) (-.f64 y x))
(.f64 (/.f64 (fma.f64 x x (.f64 y y)) (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))) (fma.f64 x x (.f64 y (-.f64 y x))))
(.f64 (/.f64 (-.f64 y x) (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))) (/.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (-.f64 y x))))))
(.f64 (/.f64 (fma.f64 x x (.f64 y (-.f64 y x))) #s(literal 1 binary64)) (/.f64 (-.f64 y x) (fma.f64 x x (*.f64 y (-.f64 y x)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 y (-.f64 y x)))) (fma.f64 (.f64 x x) x (.f64 (*.f64 y y) y)))
(.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x)) (.f64 (-.f64 x y) (-.f64 y x)))
(.f64 (.f64 (fma.f64 x x (.f64 y (-.f64 y x))) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) y (.f64 x (-.f64 y x)))))
(.f64 (fma.f64 x x (.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(*.f64 (-.f64 x y) #s(literal -1 binary64))
(.f64 (.f64 (-.f64 x y) (-.f64 y x)) (/.f64 #s(literal -1 binary64) (-.f64 y x)))
(.f64 (fma.f64 x x (.f64 y (-.f64 y x))) (.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 y (-.f64 y x))))))
(.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 y (-.f64 y x)))) #s(literal 1 binary64)))
(.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (-.f64 y x)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)
(*.f64 #s(literal -1 binary64) (-.f64 x y))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) (fma.f64 x x (.f64 y y)))
(*.f64 (-.f64 y x) (/.f64 (-.f64 y x) (-.f64 y x)))
(.f64 (-.f64 y x) (.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) (-.f64 y x))))
(.f64 (-.f64 y x) (.f64 (-.f64 x y) (/.f64 #s(literal -1 binary64) (-.f64 y x))))
(*.f64 (-.f64 y x) #s(literal 1 binary64))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 #s(literal 1 binary64) (-.f64 y x))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) #s(literal -1 binary64))
(pow.f64 (-.f64 y x) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y y)))) (-.f64 y x))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)))) (fma.f64 x x (.f64 y (-.f64 y x))))
(/.f64 (/.f64 (fma.f64 x x (.f64 y y)) (fma.f64 x x (.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(/.f64 (/.f64 (fma.f64 x x (.f64 y y)) (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (-.f64 y x)))))
(/.f64 (.f64 (.f64 (fma.f64 x x (.f64 y y)) (fma.f64 x x (.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 y x))) (fma.f64 x x (*.f64 y y)))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)) (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))) (/.f64 #s(literal 1 binary64) (-.f64 y x))) (.f64 (fma.f64 x x (.f64 y (-.f64 y x))) (fma.f64 x x (*.f64 y (-.f64 y x)))))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)) (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 y (-.f64 y x))))) (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 (.f64 y y) y) (neg.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) (.f64 (.f64 x x) x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 y (-.f64 y x))))) (fma.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 y y) (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 x x) x (.f64 (*.f64 y y) y)))))
(/.f64 (.f64 (.f64 (fma.f64 x x (.f64 y (-.f64 y x))) (-.f64 x y)) #s(literal 1 binary64)) (fma.f64 (neg.f64 y) y (.f64 x (-.f64 y x))))
(/.f64 (.f64 (.f64 (fma.f64 x x (.f64 y y)) (.f64 (-.f64 x y) (-.f64 y x))) (/.f64 #s(literal -1 binary64) (-.f64 y x))) (fma.f64 x x (*.f64 y y)))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)) (.f64 (fma.f64 x x (.f64 y (-.f64 y x))) (-.f64 x y))) (/.f64 #s(literal -1 binary64) (-.f64 y x))) (fma.f64 (.f64 (.f64 x x) x) x (.f64 (.f64 (.f64 y (-.f64 y x)) y) (-.f64 y x))))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)) (.f64 (fma.f64 x x (.f64 y (-.f64 y x))) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 y (-.f64 y x))))) (.f64 (fma.f64 x x (.f64 y (-.f64 y x))) (-.f64 x y)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 (.f64 y y) y))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 y (-.f64 y x))))) (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 x x)) x (.f64 (.f64 (.f64 y y) y) (fma.f64 (.f64 x x) x (.f64 (*.f64 y y) y)))))
(/.f64 (.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))) (fma.f64 x x (*.f64 y (-.f64 y x))))
(/.f64 (.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 y y))) (-.f64 y x))
(/.f64 (.f64 (.f64 (-.f64 x y) (-.f64 y x)) #s(literal 1 binary64)) (-.f64 x y))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 y y) (-.f64 y x)) (/.f64 (.f64 y y) (-.f64 y x))) (.f64 (/.f64 (.f64 x x) (-.f64 x y)) (/.f64 (.f64 x x) (-.f64 x y)))) (+.f64 (/.f64 (.f64 y y) (-.f64 y x)) (/.f64 (.f64 x x) (-.f64 x y))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 y y) y) (fma.f64 x x (.f64 y (-.f64 y x)))) (/.f64 (.f64 (.f64 y y) y) (fma.f64 x x (.f64 y (-.f64 y x))))) (.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 x x (.f64 y (-.f64 y x)))) (/.f64 (.f64 (.f64 x x) x) (fma.f64 x x (.f64 y (-.f64 y x)))))) (+.f64 (/.f64 (.f64 (.f64 y y) y) (fma.f64 x x (.f64 y (-.f64 y x)))) (/.f64 (.f64 (.f64 x x) x) (fma.f64 x x (.f64 y (-.f64 y x))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x x) (-.f64 x y)) (/.f64 (.f64 x x) (-.f64 x y))) (.f64 (/.f64 (.f64 y y) (-.f64 x y)) (/.f64 (.f64 y y) (-.f64 x y)))) (+.f64 (/.f64 (.f64 x x) (-.f64 x y)) (/.f64 (.f64 y y) (-.f64 x y))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 y y) (-.f64 y x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (-.f64 x y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 y y) (-.f64 y x)) (/.f64 (.f64 y y) (-.f64 y x)) (fma.f64 (/.f64 (.f64 x x) (-.f64 x y)) (/.f64 (.f64 x x) (-.f64 x y)) (.f64 (/.f64 (.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 x y))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 y y) y) (fma.f64 x x (.f64 y (-.f64 y x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 x x (.f64 y (-.f64 y x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 y y) y) (fma.f64 x x (.f64 y (-.f64 y x)))) (/.f64 (.f64 (.f64 y y) y) (fma.f64 x x (.f64 y (-.f64 y x)))) (fma.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 x x (.f64 y (-.f64 y x)))) (/.f64 (.f64 (.f64 x x) x) (fma.f64 x x (.f64 y (-.f64 y x)))) (.f64 (/.f64 (.f64 (.f64 y y) y) (fma.f64 x x (.f64 y (-.f64 y x)))) (/.f64 (.f64 (.f64 x x) x) (fma.f64 x x (*.f64 y (-.f64 y x))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (-.f64 x y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 y y) (-.f64 x y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 x x) (-.f64 x y)) (/.f64 (.f64 x x) (-.f64 x y)) (fma.f64 (/.f64 (.f64 y y) (-.f64 x y)) (/.f64 (.f64 y y) (-.f64 x y)) (.f64 (/.f64 (.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y))))))
(/.f64 (neg.f64 (.f64 (fma.f64 x x (.f64 y (-.f64 y x))) (-.f64 x y))) (neg.f64 (fma.f64 (neg.f64 y) y (*.f64 x (-.f64 y x)))))
(/.f64 (neg.f64 (.f64 (fma.f64 x x (.f64 y (-.f64 y x))) (-.f64 x y))) (fma.f64 x x (*.f64 y (-.f64 y x))))
(/.f64 (-.f64 (.f64 (.f64 y y) (-.f64 y x)) (.f64 (-.f64 y x) (.f64 x x))) (fma.f64 x x (*.f64 y y)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 y y) y) (fma.f64 x x (.f64 y (-.f64 y x)))) (.f64 (fma.f64 x x (.f64 y (-.f64 y x))) (.f64 (.f64 x x) x))) (.f64 (fma.f64 x x (.f64 y (-.f64 y x))) (fma.f64 x x (*.f64 y (-.f64 y x)))))
(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 x y)) (.f64 (-.f64 x y) (.f64 y y))) (fma.f64 x x (*.f64 y y)))
(/.f64 (.f64 (-.f64 (/.f64 (.f64 x x) (*.f64 y y)) #s(literal 1 binary64)) y) (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (*.f64 y y))) y) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y))) y) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (-.f64 y x)) (*.f64 y y))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y))) y) (+.f64 (/.f64 (.f64 x (-.f64 y x)) (*.f64 y y)) #s(literal 1 binary64)))
(/.f64 (.f64 y (-.f64 (/.f64 (.f64 x x) (*.f64 y y)) #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(/.f64 (.f64 y (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (*.f64 y y)))) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(/.f64 (.f64 y (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y)))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (-.f64 y x)) (*.f64 y y))))
(/.f64 (.f64 y (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y)))) (+.f64 (/.f64 (.f64 x (-.f64 y x)) (*.f64 y y)) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 x x (.f64 y y)) (.f64 (-.f64 x y) (-.f64 y x))) (.f64 (-.f64 x y) (fma.f64 x x (*.f64 y y))))
(/.f64 (.f64 (fma.f64 x x (.f64 y y)) (fma.f64 x x (.f64 y y))) (.f64 (-.f64 y x) (fma.f64 x x (*.f64 y y))))
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eval117.0ms (1.9%)

Memory: -10.9MiB live, 181.1MiB allocated
Compiler: Compiled 13 125 to 1 650 computations (87.4% saved)

prune132.0ms (2.2%)

Memory

15.9MiB live, 228.2MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	726	0	726
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	726	5	731

Accuracy

100.0%

Counts

731 → 5

Alt Table

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Status	Accuracy	Program
✓	49.8%	(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (- y x)) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y))))
✓	100.0%	(sqrt.f64 (-.f64 y x))
✓	85.3%	(sqrt.f64 #s(approx (- y x) (fma.f64 (/.f64 (neg.f64 x) y) y y)))
✓	50.6%	(sqrt.f64 #s(approx (- y x) (neg.f64 x)))
✓	51.1%	#s(approx (/ 1 (sqrt (/ 1 (- y x)))) (sqrt.f64 y))

Compiler

Compiled 131 to 68 computations (48.1% saved)

regimes50.0ms (0.8%)

Memory

-25.6MiB live, 51.2MiB allocated

Counts

11 → 1

Calls

Call 1

Inputs
#s(approx (/ 1 (sqrt (/ 1 (- y x)))) (sqrt.f64 y))
(sqrt.f64 #s(approx (- y x) (neg.f64 x)))
(sqrt.f64 (-.f64 y x))
(sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 #s(approx (- y x) (fma.f64 (/.f64 (neg.f64 x) y) y y)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (- y x)) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 #s(approx (/ 1 (- y x)) (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y)))))
(.f64 (sqrt.f64 (fabs.f64 (.f64 (+.f64 y x) (-.f64 x y)))) (pow.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x))) #s(literal 1/2 binary64)))

Outputs
(sqrt.f64 (-.f64 y x))

Calls

5 calls:

32.0ms	(-.f64 x y)
6.0ms	x
4.0ms	(sqrt.f64 (fabs.f64 (-.f64 x y)))
4.0ms	(fabs.f64 (-.f64 x y))
4.0ms	y

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(sqrt.f64 (fabs.f64 (-.f64 x y)))`
100.0%	1	`(fabs.f64 (-.f64 x y))`
100.0%	1	`(-.f64 x y)`

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory

21.3MiB live, 21.3MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
#s(approx (/ 1 (sqrt (/ 1 (- y x)))) (sqrt.f64 y))
(sqrt.f64 #s(approx (- y x) (neg.f64 x)))

Outputs
(sqrt.f64 #s(approx (- y x) (neg.f64 x)))
#s(approx (/ 1 (sqrt (/ 1 (- y x)))) (sqrt.f64 y))

Calls

5 calls:

2.0ms	(sqrt.f64 (fabs.f64 (-.f64 x y)))
2.0ms	x
2.0ms	(-.f64 x y)
2.0ms	(fabs.f64 (-.f64 x y))
1.0ms	y

Results

Accuracy	Segments	Branch
86.7%	2	`x`
86.2%	2	`y`
61.7%	5	`(sqrt.f64 (fabs.f64 (-.f64 x y)))`
61.7%	5	`(fabs.f64 (-.f64 x y))`
61.7%	5	`(-.f64 x y)`

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory

-15.3MiB live, 22.1MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ 1 (sqrt (/ 1 (- y x)))) (sqrt.f64 y))

Outputs
#s(approx (/ 1 (sqrt (/ 1 (- y x)))) (sqrt.f64 y))

Calls

5 calls:

3.0ms	(fabs.f64 (-.f64 x y))
1.0ms	y
1.0ms	(sqrt.f64 (fabs.f64 (-.f64 x y)))
1.0ms	(-.f64 x y)
1.0ms	x

Results

Accuracy	Segments	Branch
51.1%	1	`(-.f64 x y)`
51.1%	1	`(sqrt.f64 (fabs.f64 (-.f64 x y)))`
51.1%	1	`(fabs.f64 (-.f64 x y))`
51.1%	1	`y`
51.1%	1	`x`

Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch8.0ms (0.1%)

Memory

19.5MiB live, 19.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	-1.29181927680142e-70	-2.895738620779235e-71

Samples

4.0ms

96×

valid

Compiler

Compiled 88 to 64 computations (27.3% saved)

Precisions

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

ival-sub: 1.0ms (55% of total)

ival-sqrt: 1.0ms (55% of total)

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

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

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

simplify10.0ms (0.2%)

Memory

-25.4MiB live, 16.5MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
4×	`sub-neg_binary64`
2×	`*-commutative_binary64`
2×	`1-exp_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	37
1	24	37
2	27	37
3	28	37

Stop Event

1×

saturated

Calls

Call 1

Inputs

(sqrt.f64 (-.f64 y x))

(if (<=.f64 x #s(literal -652736747787845/7770675568902916283677847627294075626569627356208558085007249638955617140820833992704 binary64)) (sqrt.f64 #s(approx (- y x) (neg.f64 x))) #s(approx (/ 1 (sqrt (/ 1 (- y x)))) (sqrt.f64 y)))

#s(approx (/ 1 (sqrt (/ 1 (- y x)))) (sqrt.f64 y))

Outputs

(sqrt.f64 (-.f64 y x))

(if (<=.f64 x #s(literal -652736747787845/7770675568902916283677847627294075626569627356208558085007249638955617140820833992704 binary64)) (sqrt.f64 #s(approx (- y x) (neg.f64 x))) #s(approx (/ 1 (sqrt (/ 1 (- y x)))) (sqrt.f64 y)))

#s(approx (/ 1 (sqrt (/ 1 (- y x)))) (sqrt.f64 y))

soundness656.0ms (10.8%)

Memory

-11.2MiB live, 487.2MiB allocated

Rules

13 758×	`lower-fma.f64`
13 758×	`lower-fma.f32`
5 782×	`lower-*.f64`
5 782×	`lower-*.f32`
4 642×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	98
0	40	105
1	122	103
2	662	71
3	7406	71
0	8265	71
0	417	3469
1	1272	3186
2	4331	3083
0	8074	2945
0	5	12
0	8	12
1	29	12
2	181	12
3	1675	12
0	8378	12

Stop Event

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

Compiler

Compiled 139 to 86 computations (38.1% saved)

preprocess41.0ms (0.7%)

Memory: -5.9MiB live, 72.5MiB allocated
Compiler: Compiled 66 to 38 computations (42.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	15	31
1	35	27
2	72	27
3	137	27
4	185	27
5	197	27
6	199	27
0	5	5
0	8	5
1	12	5
2	19	5
3	27	5
4	46	5
5	93	5
6	144	5
7	165	5
8	173	5
0	173	5

Iter	Nodes	Cost
0	18	112
0	29	112
1	38	112
2	46	112
3	58	112
4	75	112
5	114	112
6	167	112
7	293	112
8	501	112
9	790	112
10	885	112
11	889	112
0	889	112

Iter	Nodes	Cost
0	15	31
1	35	27
2	72	27
3	137	27
4	185	27
5	197	27
6	199	27
0	5	5
0	8	5
1	12	5
2	19	5
3	27	5
4	46	5
5	93	5
6	144	5
7	165	5
8	173	5
0	173	5

Iter	Nodes	Cost
0	18	112
0	29	112
1	38	112
2	46	112
3	58	112
4	75	112
5	114	112
6	167	112
7	293	112
8	501	112
9	790	112
10	885	112
11	889	112
0	889	112

start0.0ms (0%)

analyze0.0ms (0%)

sample657.0ms (10.8%)

explain63.0ms (1%)

preprocess18.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify7.0ms (0.1%)

localize99.0ms (1.6%)

series3.0ms (0.1%)

simplify188.0ms (3.1%)

rewrite469.0ms (7.7%)

eval119.0ms (2%)

prune97.0ms (1.6%)

simplify720.0ms (11.8%)

localize94.0ms (1.5%)

series30.0ms (0.5%)

simplify143.0ms (2.4%)

rewrite173.0ms (2.8%)

eval124.0ms (2%)

prune110.0ms (1.8%)

simplify26.0ms (0.4%)

localize50.0ms (0.8%)

series26.0ms (0.4%)

simplify239.0ms (3.9%)

rewrite238.0ms (3.9%)

eval191.0ms (3.1%)

prune256.0ms (4.2%)

simplify168.0ms (2.8%)

localize192.0ms (3.2%)

series13.0ms (0.2%)

simplify442.0ms (7.3%)

rewrite111.0ms (1.8%)

eval117.0ms (1.9%)

prune132.0ms (2.2%)

regimes50.0ms (0.8%)

regimes8.0ms (0.1%)

regimes9.0ms (0.1%)

bsearch8.0ms (0.1%)

simplify10.0ms (0.2%)

soundness656.0ms (10.8%)

preprocess41.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	15	31
1	35	27
2	72	27
3	137	27
4	185	27
5	197	27
6	199	27
0	5	5
0	8	5
1	12	5
2	19	5
3	27	5
4	46	5
5	93	5
6	144	5
7	165	5
8	173	5
0	173	5

Iter	Nodes	Cost
0	18	112
0	29	112
1	38	112
2	46	112
3	58	112
4	75	112
5	114	112
6	167	112
7	293	112
8	501	112
9	790	112
10	885	112
11	889	112
0	889	112