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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB 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)

sample758.0ms (16.4%)

Memory

1.4MiB live, 924.7MiB allocated

Samples

501.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 283.0ms

ival-fabs: 122.0ms (43.1% of total)

ival-sub: 94.0ms (33.2% of total)

ival-sqrt: 57.0ms (20.1% of total)

ival-true: 7.0ms (2.5% of total)

ival-assert: 3.0ms (1.1% of total)

Bogosity

explain61.0ms (1.3%)

Memory

-16.6MiB live, 144.0MiB 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

24.0ms

512×

valid

Compiler

Compiled 37 to 19 computations (48.6% saved)

Precisions

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

ival-sub: 3.0ms (29.7% of total)

ival-fabs: 3.0ms (29.7% of total)

ival-sqrt: 3.0ms (29.7% of total)

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

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

preprocess72.0ms (1.6%)

Memory

9.2MiB live, 47.7MiB allocated

Algorithm

1×	egg-herbie

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 5 to 5 computations (0% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 5 to 5 computations (0% saved)

simplify5.0ms (0.1%)

Memory

9.4MiB live, 9.4MiB 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)))

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

localize16.0ms (0.3%)

Memory

17.5MiB live, 17.5MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 x y)
accuracy	0	(fabs.f64 (-.f64 x y))
accuracy	0.01953125	(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)

series75.0ms (1.6%)

Memory

-34.4MiB live, 3.8MiB 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 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 (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 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 (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 (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 (* -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 (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 (* -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 -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>) () ())) ())
#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 (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 (* -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 (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 (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 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 (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 (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 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>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
71.0ms	y	@	-inf	((sqrt (fabs (- x y))) (fabs (- x y)) (- x y))
1.0ms	x	@	0	((sqrt (fabs (- x y))) (fabs (- x y)) (- x y))
1.0ms	x	@	-inf	((sqrt (fabs (- x y))) (fabs (- x y)) (- x y))
1.0ms	y	@	inf	((sqrt (fabs (- x y))) (fabs (- x y)) (- x y))
0.0ms	y	@	0	((sqrt (fabs (- x y))) (fabs (- x y)) (- x y))

simplify135.0ms (2.9%)

Memory

27.0MiB live, 106.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	279
1	79	279
2	186	279
3	541	279
4	1596	279
5	2435	279
6	3316	279
7	4901	279
8	5409	279
9	5785	279
10	6306	279
11	6970	279
12	7705	279
0	8082	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)))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(sqrt (fabs (- x y)))
(sqrt (fabs (- x y)))
(sqrt (fabs (- x y)))
(sqrt (fabs (- x y)))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(sqrt (fabs (+ x (* -1 y))))
(sqrt (fabs (+ x (* -1 y))))
(sqrt (fabs (+ x (* -1 y))))
(sqrt (fabs (+ x (* -1 y))))
(fabs (+ x (* -1 y)))
(fabs (+ x (* -1 y)))
(fabs (+ x (* -1 y)))
(fabs (+ x (* -1 y)))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(sqrt (fabs (- x y)))
(sqrt (fabs (- x y)))
(sqrt (fabs (- x y)))
(sqrt (fabs (- x y)))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(* -1 y)
(- x y)
(- x y)
(- x y)
(sqrt (fabs (- x y)))
(sqrt (fabs (- x y)))
(sqrt (fabs (- x y)))
(sqrt (fabs (- x y)))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(sqrt (fabs (neg (+ y (* -1 x)))))
(sqrt (fabs (neg (+ y (* -1 x)))))
(sqrt (fabs (neg (+ y (* -1 x)))))
(sqrt (fabs (neg (+ y (* -1 x)))))
(fabs (neg (+ y (* -1 x))))
(fabs (neg (+ y (* -1 x))))
(fabs (neg (+ y (* -1 x))))
(fabs (neg (+ y (* -1 x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))

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)))
(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))
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.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)))
(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))
(* -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)
(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 (* -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)
(* -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)
(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)))
(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))
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(- x y)
(-.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)))
(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))
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)
(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)))
(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))
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)

rewrite204.0ms (4.4%)

Memory

16.6MiB live, 243.0MiB allocated

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
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eval121.0ms (2.6%)

Memory: -35.3MiB live, 103.6MiB allocated
Compiler: Compiled 9 124 to 1 402 computations (84.6% saved)

prune19.0ms (0.4%)

Memory

-7.5MiB live, 31.1MiB allocated

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	386	5	391
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	386	6	392

Accuracy

100.0%

Counts

392 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(pow.f64 (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
▶	52.4%	(/.f64 (sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)))) (sqrt.f64 (fabs.f64 (+.f64 y x))))
▶	99.5%	(/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))))
▶	74.2%	(sqrt.f64 (fabs.f64 (fma.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y)) x)))
✓	100.0%	(sqrt.f64 (fabs.f64 (-.f64 x y)))
▶	50.8%	(sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))))

Compiler

Compiled 105 to 93 computations (11.4% saved)

simplify110.0ms (2.4%)

Memory

22.5MiB live, 144.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 y x)
cost-diff	0	(fabs.f64 (-.f64 y x))
cost-diff	0	(pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/4 binary64))
cost-diff	12288	(pow.f64 (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
cost-diff	0	(fma.f64 (neg.f64 y) y (*.f64 x x))
cost-diff	0	(fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)))
cost-diff	0	(sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))))
cost-diff	0	(/.f64 (sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)))) (sqrt.f64 (fabs.f64 (+.f64 y x))))
cost-diff	0	(fabs.f64 (fma.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y)) x))
cost-diff	0	(sqrt.f64 (fabs.f64 (fma.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y)) x)))
cost-diff	192	(+.f64 #s(literal 0 binary64) y)
cost-diff	1344	(fma.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y)) x)
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))))
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)))))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	194
0	59	193
1	85	178
2	156	163
3	288	163
4	529	163
5	1764	163
6	3054	163
7	5157	163
8	7164	163
0	8032	163

Stop Event

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

Calls

Call 1

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

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

localize108.0ms (2.3%)

Memory

-12.4MiB live, 214.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 y x)
accuracy	0	(fabs.f64 (-.f64 y x))
accuracy	0.0078125	(pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/4 binary64))
accuracy	0.45703125	(pow.f64 (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
accuracy	0.01171875	(sqrt.f64 (fabs.f64 (+.f64 y x)))
accuracy	0.46875	(/.f64 (sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)))) (sqrt.f64 (fabs.f64 (+.f64 y x))))
accuracy	2.503878726055602	(fma.f64 (neg.f64 y) y (*.f64 x x))
accuracy	29.375965753067458	(sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))))
accuracy	0	(neg.f64 y)
accuracy	0	(fabs.f64 (fma.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y)) x))
accuracy	0.01953125	(sqrt.f64 (fabs.f64 (fma.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y)) x)))
accuracy	16.172927795402533	(fma.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y)) x)
accuracy	0	(neg.f64 y)
accuracy	0	(fabs.f64 #s(approx (- x y) (neg.f64 y)))
accuracy	0.01953125	(sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))))
accuracy	32.5870675404094	#s(approx (- x y) (neg.f64 y))
accuracy	0	(fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))
accuracy	0.0234375	(/.f64 #s(literal 1 binary64) (-.f64 y x))
accuracy	0.140625	(sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))))
accuracy	0.30859375	(/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))))

Samples

75.0ms

256×

valid

Compiler

Compiled 194 to 35 computations (82% saved)

Precisions

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

ival-add: 11.0ms (19.9% of total)

ival-fabs: 10.0ms (18.1% of total)

ival-sqrt: 8.0ms (14.4% of total)

ival-div: 7.0ms (12.6% of total)

ival-pow: 7.0ms (12.6% of total)

ival-mult: 5.0ms (9% of total)

ival-sub: 3.0ms (5.4% of total)

ival-pow2: 3.0ms (5.4% of total)

exact: 1.0ms (1.8% of total)

ival-neg: 1.0ms (1.8% of total)

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

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

series280.0ms (6.1%)

Memory

17.6MiB live, 363.9MiB allocated

Counts

21 → 480

Calls

Call 1

Inputs
#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 (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 (fma.f64 (.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y)) x) (patch (fma.f64 (.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y)) x) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 0 binary64) y) (patch (+.f64 #s(literal 0 binary64) y) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fabs.f64 (fma.f64 (.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y)) x))) (patch (sqrt.f64 (fabs.f64 (fma.f64 (.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y)) x))) #<representation binary64>) () ())
#s(alt (fabs.f64 (fma.f64 (.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y)) x)) (patch (fabs.f64 (fma.f64 (.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y)) x)) #<representation binary64>) () ())
#s(alt (/.f64 (sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (.f64 x x)))) (sqrt.f64 (fabs.f64 (+.f64 y x)))) (patch (/.f64 (sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (.f64 x x)))) (sqrt.f64 (fabs.f64 (+.f64 y x)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (.f64 x x)))) (patch (sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (.f64 x x)))) #<representation binary64>) () ())
#s(alt (fabs.f64 (fma.f64 (neg.f64 y) y (.f64 x x))) (patch (fabs.f64 (fma.f64 (neg.f64 y) y (.f64 x x))) #<representation binary64>) () ())
#s(alt (fma.f64 (neg.f64 y) y (.f64 x x)) (patch (fma.f64 (neg.f64 y) y (.f64 x x)) #<representation binary64>) () ())
#s(alt (pow.f64 (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/4 binary64)) (patch (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/4 binary64)) #<representation binary64>) () ())
#s(alt (fabs.f64 (-.f64 y x)) (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ())
#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fabs.f64 (+.f64 y x))) (patch (sqrt.f64 (fabs.f64 (+.f64 y x))) #<representation binary64>) () ())

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

Calls

6 calls:

Time	Variable		Point	Expression
114.0ms	y	@	-inf	((/ 1 (sqrt (fabs (/ 1 (- y x))))) (sqrt (fabs (/ 1 (- y x)))) (fabs (/ 1 (- y x))) (/ 1 (- y x)) (sqrt (fabs (- x y))) (fabs (- x y)) (- x y) (neg y) (+ (* (* (neg y) y) (/ 1 (+ 0 y))) x) (+ 0 y) (sqrt (fabs (+ (* (* (neg y) y) (/ 1 (+ 0 y))) x))) (fabs (+ (* (* (neg y) y) (/ 1 (+ 0 y))) x)) (/ (sqrt (fabs (+ (* (neg y) y) (* x x)))) (sqrt (fabs (+ y x)))) (sqrt (fabs (+ (* (neg y) y) (* x x)))) (fabs (+ (* (neg y) y) (* x x))) (+ (* (neg y) y) (* x x)) (pow (pow (fabs (- y x)) 1/4) 2) (pow (fabs (- y x)) 1/4) (fabs (- y x)) (- y x) (sqrt (fabs (+ y x))))
41.0ms	x	@	inf	((/ 1 (sqrt (fabs (/ 1 (- y x))))) (sqrt (fabs (/ 1 (- y x)))) (fabs (/ 1 (- y x))) (/ 1 (- y x)) (sqrt (fabs (- x y))) (fabs (- x y)) (- x y) (neg y) (+ (* (* (neg y) y) (/ 1 (+ 0 y))) x) (+ 0 y) (sqrt (fabs (+ (* (* (neg y) y) (/ 1 (+ 0 y))) x))) (fabs (+ (* (* (neg y) y) (/ 1 (+ 0 y))) x)) (/ (sqrt (fabs (+ (* (neg y) y) (* x x)))) (sqrt (fabs (+ y x)))) (sqrt (fabs (+ (* (neg y) y) (* x x)))) (fabs (+ (* (neg y) y) (* x x))) (+ (* (neg y) y) (* x x)) (pow (pow (fabs (- y x)) 1/4) 2) (pow (fabs (- y x)) 1/4) (fabs (- y x)) (- y x) (sqrt (fabs (+ y x))))
40.0ms	y	@	0	((/ 1 (sqrt (fabs (/ 1 (- y x))))) (sqrt (fabs (/ 1 (- y x)))) (fabs (/ 1 (- y x))) (/ 1 (- y x)) (sqrt (fabs (- x y))) (fabs (- x y)) (- x y) (neg y) (+ (* (* (neg y) y) (/ 1 (+ 0 y))) x) (+ 0 y) (sqrt (fabs (+ (* (* (neg y) y) (/ 1 (+ 0 y))) x))) (fabs (+ (* (* (neg y) y) (/ 1 (+ 0 y))) x)) (/ (sqrt (fabs (+ (* (neg y) y) (* x x)))) (sqrt (fabs (+ y x)))) (sqrt (fabs (+ (* (neg y) y) (* x x)))) (fabs (+ (* (neg y) y) (* x x))) (+ (* (neg y) y) (* x x)) (pow (pow (fabs (- y x)) 1/4) 2) (pow (fabs (- y x)) 1/4) (fabs (- y x)) (- y x) (sqrt (fabs (+ y x))))
29.0ms	y	@	inf	((/ 1 (sqrt (fabs (/ 1 (- y x))))) (sqrt (fabs (/ 1 (- y x)))) (fabs (/ 1 (- y x))) (/ 1 (- y x)) (sqrt (fabs (- x y))) (fabs (- x y)) (- x y) (neg y) (+ (* (* (neg y) y) (/ 1 (+ 0 y))) x) (+ 0 y) (sqrt (fabs (+ (* (* (neg y) y) (/ 1 (+ 0 y))) x))) (fabs (+ (* (* (neg y) y) (/ 1 (+ 0 y))) x)) (/ (sqrt (fabs (+ (* (neg y) y) (* x x)))) (sqrt (fabs (+ y x)))) (sqrt (fabs (+ (* (neg y) y) (* x x)))) (fabs (+ (* (neg y) y) (* x x))) (+ (* (neg y) y) (* x x)) (pow (pow (fabs (- y x)) 1/4) 2) (pow (fabs (- y x)) 1/4) (fabs (- y x)) (- y x) (sqrt (fabs (+ y x))))
25.0ms	x	@	-inf	((/ 1 (sqrt (fabs (/ 1 (- y x))))) (sqrt (fabs (/ 1 (- y x)))) (fabs (/ 1 (- y x))) (/ 1 (- y x)) (sqrt (fabs (- x y))) (fabs (- x y)) (- x y) (neg y) (+ (* (* (neg y) y) (/ 1 (+ 0 y))) x) (+ 0 y) (sqrt (fabs (+ (* (* (neg y) y) (/ 1 (+ 0 y))) x))) (fabs (+ (* (* (neg y) y) (/ 1 (+ 0 y))) x)) (/ (sqrt (fabs (+ (* (neg y) y) (* x x)))) (sqrt (fabs (+ y x)))) (sqrt (fabs (+ (* (neg y) y) (* x x)))) (fabs (+ (* (neg y) y) (* x x))) (+ (* (neg y) y) (* x x)) (pow (pow (fabs (- y x)) 1/4) 2) (pow (fabs (- y x)) 1/4) (fabs (- y x)) (- y x) (sqrt (fabs (+ y x))))

simplify246.0ms (5.3%)

Memory

15.1MiB live, 206.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	202	3164
1	502	2757
2	1257	2720
3	5229	2718
0	8300	2702

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 459

Calls

Call 1

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

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

rewrite65.0ms (1.4%)

Memory

-1.8MiB live, 73.3MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	154
0	59	142
1	205	111
0	1338	111

Stop Event

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

Counts

21 → 379

Calls

Call 1

Inputs
(/.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))
(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)
(fma.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y)) x)
(+.f64 #s(literal 0 binary64) y)
(sqrt.f64 (fabs.f64 (fma.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y)) x)))
(fabs.f64 (fma.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y)) x))
(/.f64 (sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)))) (sqrt.f64 (fabs.f64 (+.f64 y x))))
(sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))))
(fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(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 1/4 binary64))
(fabs.f64 (-.f64 y x))
(-.f64 y x)
(sqrt.f64 (fabs.f64 (+.f64 y x)))

Outputs
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eval233.0ms (5.1%)

Memory: 1.7MiB live, 221.5MiB allocated
Compiler: Compiled 12 584 to 1 666 computations (86.8% saved)

prune73.0ms (1.6%)

Memory

-21.4MiB live, 92.2MiB allocated

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	994	3	997
Fresh	0	0	0
Picked	2	3	5
Done	0	1	1
Total	996	7	1 003

Accuracy

100.0%

Counts

1 003 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.3%	(pow.f64 (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
▶	52.4%	(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 x y) (-.f64 x y)))) (sqrt.f64 (fabs.f64 (+.f64 y x))))
▶	99.0%	(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x))) #s(literal 1/4 binary64)) (pow.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x))) #s(literal 1/4 binary64))))
✓	99.5%	(/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))))
▶	74.2%	(sqrt.f64 (fabs.f64 (fma.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y) x)))
✓	100.0%	(sqrt.f64 (fabs.f64 (-.f64 x y)))
✓	50.8%	(sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))))

Compiler

Compiled 72 to 58 computations (19.4% saved)

simplify156.0ms (3.4%)

Memory

40.9MiB live, 236.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 x y)
cost-diff	0	(fabs.f64 (*.f64 (+.f64 x y) (-.f64 x y)))
cost-diff	0	(sqrt.f64 (fabs.f64 (*.f64 (+.f64 x y) (-.f64 x y))))
cost-diff	0	(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 x y) (-.f64 x y)))) (sqrt.f64 (fabs.f64 (+.f64 y x))))
cost-diff	0	(fabs.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x)))
cost-diff	0	(pow.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x))) #s(literal 1/4 binary64))
cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x))) #s(literal 1/4 binary64)) (pow.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x))) #s(literal 1/4 binary64))))
cost-diff	13632	(*.f64 (pow.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x))) #s(literal 1/4 binary64)) (pow.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x))) #s(literal 1/4 binary64)))
cost-diff	0	(*.f64 (neg.f64 y) y)
cost-diff	0	(fabs.f64 (fma.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y) x))
cost-diff	0	(sqrt.f64 (fabs.f64 (fma.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y) x)))
cost-diff	1344	(fma.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y) x)

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	164
0	48	152
1	79	138
2	131	126
3	247	126
4	688	126
5	3146	126
6	6826	126
0	8050	126

Stop Event

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

Calls

Call 1

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

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

localize129.0ms (2.8%)

Memory

-14.5MiB live, 214.0MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0	(fabs.f64 (*.f64 (+.f64 x y) (-.f64 x y)))
accuracy	0.01171875	(sqrt.f64 (fabs.f64 (+.f64 y x)))
accuracy	0.46875	(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 x y) (-.f64 x y)))) (sqrt.f64 (fabs.f64 (+.f64 y x))))
accuracy	29.375965753067458	(sqrt.f64 (fabs.f64 (*.f64 (+.f64 x y) (-.f64 x y))))
accuracy	0.0234375	(/.f64 #s(literal -1 binary64) (-.f64 y x))
accuracy	0.09375	(pow.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x))) #s(literal 1/4 binary64))
accuracy	0.30859375	(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x))) #s(literal 1/4 binary64)) (pow.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x))) #s(literal 1/4 binary64))))
accuracy	0.529628759768442	(*.f64 (pow.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x))) #s(literal 1/4 binary64)) (pow.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x))) #s(literal 1/4 binary64)))
accuracy	0	(neg.f64 y)
accuracy	0	(fabs.f64 (fma.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y) x))
accuracy	0.01953125	(sqrt.f64 (fabs.f64 (fma.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y) x)))
accuracy	16.172927795402533	(fma.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y) x)

Samples

65.0ms

256×

valid

Compiler

Compiled 169 to 29 computations (82.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-fabs: 7.0ms (16.9% of total)

ival-pow: 7.0ms (16.9% of total)

ival-div: 6.0ms (14.5% of total)

ival-mult: 6.0ms (14.5% of total)

ival-sqrt: 6.0ms (14.5% of total)

ival-add: 4.0ms (9.6% of total)

ival-sub: 3.0ms (7.2% of total)

ival-neg: 1.0ms (2.4% of total)

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

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

exact: 0.0ms (0% of total)

series529.0ms (11.5%)

Memory

2.1MiB live, 264.5MiB allocated

Counts

15 → 336

Calls

Call 1

Inputs
#s(alt (fma.f64 (.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y) x) (patch (fma.f64 (.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fabs.f64 (fma.f64 (.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y) x))) (patch (sqrt.f64 (fabs.f64 (fma.f64 (.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y) x))) #<representation binary64>) () ())
#s(alt (fabs.f64 (fma.f64 (.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y) x)) (patch (fabs.f64 (fma.f64 (.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y) x)) #<representation binary64>) () ())
#s(alt (.f64 (neg.f64 y) y) (patch (.f64 (neg.f64 y) y) #<representation binary64>) () ())
#s(alt (.f64 (pow.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x))) #s(literal 1/4 binary64)) (pow.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x))) #s(literal 1/4 binary64))) (patch (.f64 (pow.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x))) #s(literal 1/4 binary64)) (pow.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x))) #s(literal 1/4 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x))) #s(literal 1/4 binary64)) (pow.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x))) #s(literal 1/4 binary64)))) (patch (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x))) #s(literal 1/4 binary64)) (pow.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x))) #s(literal 1/4 binary64)))) #<representation binary64>) () ())
#s(alt (pow.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x))) #s(literal 1/4 binary64)) (patch (pow.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x))) #s(literal 1/4 binary64)) #<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 (sqrt.f64 (fabs.f64 (.f64 (+.f64 x y) (-.f64 x y)))) (sqrt.f64 (fabs.f64 (+.f64 y x)))) (patch (/.f64 (sqrt.f64 (fabs.f64 (.f64 (+.f64 x y) (-.f64 x y)))) (sqrt.f64 (fabs.f64 (+.f64 y x)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fabs.f64 (.f64 (+.f64 x y) (-.f64 x y)))) (patch (sqrt.f64 (fabs.f64 (.f64 (+.f64 x y) (-.f64 x y)))) #<representation binary64>) () ())
#s(alt (fabs.f64 (.f64 (+.f64 x y) (-.f64 x y))) (patch (fabs.f64 (.f64 (+.f64 x y) (-.f64 x y))) #<representation binary64>) () ())
#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<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 (sqrt.f64 (fabs.f64 (+.f64 y x))) (patch (sqrt.f64 (fabs.f64 (+.f64 y x))) #<representation binary64>) () ())

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

Calls

6 calls:

Time	Variable		Point	Expression
168.0ms	y	@	inf	((+ (* (* (neg y) y) (/ 1 y)) x) (sqrt (fabs (+ (* (* (neg y) y) (/ 1 y)) x))) (fabs (+ (* (* (neg y) y) (/ 1 y)) x)) (* (neg y) y) (* (pow (fabs (/ -1 (- y x))) 1/4) (pow (fabs (/ -1 (- y x))) 1/4)) (/ 1 (* (pow (fabs (/ -1 (- y x))) 1/4) (pow (fabs (/ -1 (- y x))) 1/4))) (pow (fabs (/ -1 (- y x))) 1/4) (fabs (/ -1 (- y x))) (/ (sqrt (fabs (* (+ x y) (- x y)))) (sqrt (fabs (+ y x)))) (sqrt (fabs (* (+ x y) (- x y)))) (fabs (* (+ x y) (- x y))) (+ x y) (neg y) (/ -1 (- y x)) (sqrt (fabs (+ y x))))
158.0ms	x	@	inf	((+ (* (* (neg y) y) (/ 1 y)) x) (sqrt (fabs (+ (* (* (neg y) y) (/ 1 y)) x))) (fabs (+ (* (* (neg y) y) (/ 1 y)) x)) (* (neg y) y) (* (pow (fabs (/ -1 (- y x))) 1/4) (pow (fabs (/ -1 (- y x))) 1/4)) (/ 1 (* (pow (fabs (/ -1 (- y x))) 1/4) (pow (fabs (/ -1 (- y x))) 1/4))) (pow (fabs (/ -1 (- y x))) 1/4) (fabs (/ -1 (- y x))) (/ (sqrt (fabs (* (+ x y) (- x y)))) (sqrt (fabs (+ y x)))) (sqrt (fabs (* (+ x y) (- x y)))) (fabs (* (+ x y) (- x y))) (+ x y) (neg y) (/ -1 (- y x)) (sqrt (fabs (+ y x))))
132.0ms	y	@	0	((+ (* (* (neg y) y) (/ 1 y)) x) (sqrt (fabs (+ (* (* (neg y) y) (/ 1 y)) x))) (fabs (+ (* (* (neg y) y) (/ 1 y)) x)) (* (neg y) y) (* (pow (fabs (/ -1 (- y x))) 1/4) (pow (fabs (/ -1 (- y x))) 1/4)) (/ 1 (* (pow (fabs (/ -1 (- y x))) 1/4) (pow (fabs (/ -1 (- y x))) 1/4))) (pow (fabs (/ -1 (- y x))) 1/4) (fabs (/ -1 (- y x))) (/ (sqrt (fabs (* (+ x y) (- x y)))) (sqrt (fabs (+ y x)))) (sqrt (fabs (* (+ x y) (- x y)))) (fabs (* (+ x y) (- x y))) (+ x y) (neg y) (/ -1 (- y x)) (sqrt (fabs (+ y x))))
33.0ms	x	@	-inf	((+ (* (* (neg y) y) (/ 1 y)) x) (sqrt (fabs (+ (* (* (neg y) y) (/ 1 y)) x))) (fabs (+ (* (* (neg y) y) (/ 1 y)) x)) (* (neg y) y) (* (pow (fabs (/ -1 (- y x))) 1/4) (pow (fabs (/ -1 (- y x))) 1/4)) (/ 1 (* (pow (fabs (/ -1 (- y x))) 1/4) (pow (fabs (/ -1 (- y x))) 1/4))) (pow (fabs (/ -1 (- y x))) 1/4) (fabs (/ -1 (- y x))) (/ (sqrt (fabs (* (+ x y) (- x y)))) (sqrt (fabs (+ y x)))) (sqrt (fabs (* (+ x y) (- x y)))) (fabs (* (+ x y) (- x y))) (+ x y) (neg y) (/ -1 (- y x)) (sqrt (fabs (+ y x))))
20.0ms	y	@	-inf	((+ (* (* (neg y) y) (/ 1 y)) x) (sqrt (fabs (+ (* (* (neg y) y) (/ 1 y)) x))) (fabs (+ (* (* (neg y) y) (/ 1 y)) x)) (* (neg y) y) (* (pow (fabs (/ -1 (- y x))) 1/4) (pow (fabs (/ -1 (- y x))) 1/4)) (/ 1 (* (pow (fabs (/ -1 (- y x))) 1/4) (pow (fabs (/ -1 (- y x))) 1/4))) (pow (fabs (/ -1 (- y x))) 1/4) (fabs (/ -1 (- y x))) (/ (sqrt (fabs (* (+ x y) (- x y)))) (sqrt (fabs (+ y x)))) (sqrt (fabs (* (+ x y) (- x y)))) (fabs (* (+ x y) (- x y))) (+ x y) (neg y) (/ -1 (- y x)) (sqrt (fabs (+ y x))))

simplify230.0ms (5%)

Memory

-22.6MiB live, 208.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	195	2000
1	504	1986
2	1284	1949
3	5156	1941
0	8117	1925

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 327

Calls

Call 1

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

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

rewrite120.0ms (2.6%)

Memory

-3.7MiB live, 77.1MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	131
0	48	105
1	170	82
0	1131	82

Stop Event

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

Counts

15 → 217

Calls

Call 1

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

Outputs
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eval225.0ms (4.9%)

Memory: 35.2MiB live, 144.0MiB allocated
Compiler: Compiled 9 881 to 959 computations (90.3% saved)

prune297.0ms (6.4%)

Memory

-28.0MiB live, 99.4MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	639	0	639
Fresh	0	0	0
Picked	0	3	3
Done	0	4	4
Total	639	7	646

Accuracy

100.0%

Counts

646 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.3%	(pow.f64 (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
✓	52.4%	(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 x y) (-.f64 x y)))) (sqrt.f64 (fabs.f64 (+.f64 y x))))
✓	99.0%	(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x))) #s(literal 1/4 binary64)) (pow.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x))) #s(literal 1/4 binary64))))
✓	99.5%	(/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))))
✓	74.2%	(sqrt.f64 (fabs.f64 (fma.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y) x)))
✓	100.0%	(sqrt.f64 (fabs.f64 (-.f64 x y)))
✓	50.8%	(sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))))

Compiler

Compiled 172 to 108 computations (37.2% saved)

regimes17.0ms (0.4%)

Memory

24.9MiB live, 24.9MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

5 calls:

3.0ms	(sqrt.f64 (fabs.f64 (-.f64 x y)))
3.0ms	(fabs.f64 (-.f64 x y))
3.0ms	y
3.0ms	x
3.0ms	(-.f64 x 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 14 to 16 computations (-14.3% saved)

regimes20.0ms (0.4%)

Memory

-20.0MiB live, 17.5MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

15.0ms	(sqrt.f64 (fabs.f64 (-.f64 x y)))
1.0ms	y
1.0ms	(fabs.f64 (-.f64 x y))
1.0ms	(-.f64 x y)
1.0ms	x

Results

Accuracy	Segments	Branch
50.8%	1	`x`
50.8%	1	`y`
50.8%	1	`(sqrt.f64 (fabs.f64 (-.f64 x y)))`
50.8%	1	`(fabs.f64 (-.f64 x y))`
50.8%	1	`(-.f64 x y)`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

simplify37.0ms (0.8%)

Memory

1.0MiB live, 45.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	17	13
2	22	13
3	26	13
4	28	13
5	29	13

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness229.0ms (5%)

Memory

-4.4MiB live, 69.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	279
1	79	279
2	186	279
3	541	279
4	1596	279
5	2435	279
6	3316	279
7	4901	279
8	5409	279
9	5785	279
10	6306	279
11	6970	279
12	7705	279
0	8082	279

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 14 to 14 computations (0% saved)

preprocess44.0ms (1%)

Memory: 15.2MiB live, 53.1MiB allocated
Remove: (sort x y)
Compiler: Compiled 50 to 48 computations (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	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

start0.0ms (0%)

analyze0.0ms (0%)

sample758.0ms (16.4%)

explain61.0ms (1.3%)

preprocess72.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.1%)

localize16.0ms (0.3%)

series75.0ms (1.6%)

simplify135.0ms (2.9%)

rewrite204.0ms (4.4%)

eval121.0ms (2.6%)

prune19.0ms (0.4%)

simplify110.0ms (2.4%)

localize108.0ms (2.3%)

series280.0ms (6.1%)

simplify246.0ms (5.3%)

rewrite65.0ms (1.4%)

eval233.0ms (5.1%)

prune73.0ms (1.6%)

simplify156.0ms (3.4%)

localize129.0ms (2.8%)

series529.0ms (11.5%)

simplify230.0ms (5%)

rewrite120.0ms (2.6%)

eval225.0ms (4.9%)

prune297.0ms (6.4%)

regimes17.0ms (0.4%)

regimes20.0ms (0.4%)

simplify37.0ms (0.8%)

soundness229.0ms (5%)

preprocess44.0ms (1%)

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