Metrics for Graphics.Rendering.Chart.Plot.AreaSpots:renderSpotLegend from Chart-1.5.3

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 10 to 9 computations (10% saved)

sample1.2s (19.9%)

Memory

27.0MiB live, 1 286.9MiB allocated; 304ms collecting garbage

Samples

590.0ms	7 913×	0	valid
51.0ms	76×	3	valid
28.0ms	165×	1	valid
15.0ms	102×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 405.0ms

ival-div: 180.0ms (44.5% of total)

ival-sub: 73.0ms (18% of total)

ival-fabs: 72.0ms (17.8% of total)

ival-add: 41.0ms (10.1% of total)

adjust: 26.0ms (6.4% of total)

ival-true: 5.0ms (1.2% of total)

exact: 5.0ms (1.2% of total)

ival-assert: 3.0ms (0.7% of total)

Bogosity

explain206.0ms (3.6%)

Memory

-4.5MiB live, 98.7MiB allocated; 8ms collecting garbage

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))`
-	-	`(/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))`
-	-	`(-.f64 y x)`
-	-	`y`
-	-	`#s(literal 2 binary64)`
-	-	`(fabs.f64 (-.f64 y x))`
-	-	`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

154.0ms	500×	0	valid
1.0ms	8×	1	valid
1.0ms	4×	2	valid

Compiler

Compiled 60 to 25 computations (58.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-div: 3.0ms (24.1% of total)

ival-sub: 3.0ms (24.1% of total)

ival-fabs: 3.0ms (24.1% of total)

ival-add: 2.0ms (16.1% of total)

adjust: 1.0ms (8% of total)

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

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

exact: 0.0ms (0% of total)

preprocess17.0ms (0.3%)

Memory

24.6MiB live, 24.6MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	48
1	41	46
2	70	46
3	110	46
4	191	46
5	257	46
6	265	46
7	278	46
8	280	46
0	7	8
0	11	8
1	18	8
2	25	8
3	39	8
4	66	8
5	88	8
6	90	8
7	94	8
8	97	8
0	97	8

Stop Event

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

Calls

Call 1

Inputs
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))

Outputs
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
(+.f64 (/.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) x)

Compiler

Compiled 8 to 7 computations (12.5% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))

Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify5.0ms (0.1%)

Memory

9.0MiB live, 9.0MiB allocated; 0ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(-.f64 y x)
cost-diff	0	(fabs.f64 (-.f64 y x))
cost-diff	0	(/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))
cost-diff	0	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	24
0	11	24
1	18	24
2	25	24
3	39	24
4	66	24
5	88	24
6	90	24
7	94	24
8	97	24
0	97	24

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
x
(/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))
(fabs.f64 (-.f64 y x))
(-.f64 y x)
y
#s(literal 2 binary64)

Outputs
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
(+.f64 (/.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) x)
x
(/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))
(/.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64))
(fabs.f64 (-.f64 y x))
(fabs.f64 (-.f64 x y))
(-.f64 y x)
y
#s(literal 2 binary64)

localize34.0ms (0.6%)

Memory

-4.8MiB live, 40.5MiB allocated; 4ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))
accuracy	0.0	(-.f64 y x)
accuracy	0.0	(fabs.f64 (-.f64 y x))
accuracy	0.03515625	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))

Samples

15.0ms	4×	1	valid
14.0ms	250×	0	valid
0.0ms	2×	2	valid

Compiler

Compiled 26 to 9 computations (65.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

adjust: 15.0ms (71% of total)

ival-div: 2.0ms (9.5% of total)

ival-sub: 1.0ms (4.7% of total)

ival-add: 1.0ms (4.7% of total)

ival-fabs: 1.0ms (4.7% of total)

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

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

exact: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory

5.8MiB live, 5.8MiB allocated; 0ms collecting garbage

Counts

4 → 19

Calls

Call 1

Inputs
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
(/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))
(fabs.f64 (-.f64 y x))
(-.f64 y x)

Outputs
(* 1/2 (fabs (- y x)))
(+ x (* 1/2 (fabs (- y x))))
(fabs (- y x))
y
(+ y (* -1 x))
x
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
(* -1 x)
(* x (- (/ y x) 1))
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))
(* 1/2 (fabs (+ y (* -1 x))))
(fabs (+ y (* -1 x)))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(- y x)
(* y (+ 1 (* -1 (/ x y))))
(+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))
(* 1/2 (fabs (neg (+ x (* -1 y)))))
(fabs (neg (+ x (* -1 y))))
(* -1 (* y (- (/ x y) 1)))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	inf	((+ x (/ (fabs (- y x)) 2)) (/ (fabs (- y x)) 2) (fabs (- y x)) (- y x))
1.0ms	x	@	inf	((+ x (/ (fabs (- y x)) 2)) (/ (fabs (- y x)) 2) (fabs (- y x)) (- y x))
1.0ms	x	@	-inf	((+ x (/ (fabs (- y x)) 2)) (/ (fabs (- y x)) 2) (fabs (- y x)) (- y x))
1.0ms	y	@	-inf	((+ x (/ (fabs (- y x)) 2)) (/ (fabs (- y x)) 2) (fabs (- y x)) (- y x))
0.0ms	x	@	0	((+ x (/ (fabs (- y x)) 2)) (/ (fabs (- y x)) 2) (fabs (- y x)) (- y x))

simplify254.0ms (4.4%)

Memory

-7.4MiB live, 144.7MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	84
1	127	84
2	346	84
3	968	84
4	2383	84
5	3739	84
6	6329	84
0	8023	80

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 17

Calls

Call 1

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

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

rewrite206.0ms (3.6%)

Memory

-1.9MiB live, 227.9MiB allocated; 54ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	7	21
0	11	20
1	47	20
2	323	18
3	4001	18
0	8907	18

Stop Event

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

Counts

4 → 274

Calls

Call 1

Inputs
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
(/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))
(fabs.f64 (-.f64 y x))
(-.f64 y x)

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

eval23.0ms (0.4%)

Memory: 3.2MiB live, 47.5MiB allocated; 8ms collecting garbage
Compiler: Compiled 4 841 to 704 computations (85.5% saved)

prune6.0ms (0.1%)

Memory

19.8MiB live, 19.8MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	178	6	184
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	179	6	185

Accuracy

100.0%

Counts

185 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.4%	(fma.f64 (sqrt.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64))) (sqrt.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64))) x)
▶	39.1%	(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (-.f64 y x) #s(literal -2 binary64)))
▶	50.3%	(+.f64 x (/.f64 (-.f64 (.f64 y (/.f64 y (+.f64 y x))) (.f64 x (/.f64 x (+.f64 y x)))) #s(literal 2 binary64)))
	27.0%	(+.f64 x (/.f64 (.f64 (sqrt.f64 (.f64 (+.f64 y x) (-.f64 y x))) (sqrt.f64 (/.f64 (-.f64 y x) (+.f64 y x)))) #s(literal 2 binary64)))
▶	99.9%	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x))
▶	52.6%	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)))

Compiler

Compiled 190 to 122 computations (35.8% saved)

simplify184.0ms (3.2%)

Memory

-25.7MiB live, 209.4MiB allocated; 41ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y (/.f64 y (+.f64 y x)))
cost-diff	0	(/.f64 (-.f64 (.f64 y (/.f64 y (+.f64 y x))) (.f64 x (/.f64 x (+.f64 y x)))) #s(literal 2 binary64))
cost-diff	1	(+.f64 x (/.f64 (-.f64 (.f64 y (/.f64 y (+.f64 y x))) (.f64 x (/.f64 x (+.f64 y x)))) #s(literal 2 binary64)))
cost-diff	12	(-.f64 (.f64 y (/.f64 y (+.f64 y x))) (.f64 x (/.f64 x (+.f64 y x))))
cost-diff	0	(-.f64 y x)
cost-diff	0	(/.f64 (-.f64 y x) #s(literal -2 binary64))
cost-diff	0	(sqrt.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)))
cost-diff	8	(fma.f64 (sqrt.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64))) (sqrt.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64))) x)
cost-diff	0	(-.f64 y x)
cost-diff	0	(/.f64 (-.f64 y x) #s(literal -2 binary64))
cost-diff	0	(sqrt.f64 x)
cost-diff	4	(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (-.f64 y x) #s(literal -2 binary64)))
cost-diff	0	(-.f64 x y)
cost-diff	0	(fabs.f64 (-.f64 x y))
cost-diff	0	(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)))
cost-diff	0	(-.f64 x y)
cost-diff	0	(fabs.f64 (-.f64 x y))
cost-diff	0	(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
cost-diff	0	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	199
0	49	177
1	86	177
2	214	171
3	560	169
4	1224	169
5	2030	169
6	2924	153
7	4473	153
0	8100	150

Stop Event

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

Calls

Call 1

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

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

localize119.0ms (2.1%)

Memory

25.5MiB live, 173.0MiB allocated; 22ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(+.f64 x (/.f64 (-.f64 (.f64 y (/.f64 y (+.f64 y x))) (.f64 x (/.f64 x (+.f64 y x)))) #s(literal 2 binary64)))
accuracy	0.015625	(/.f64 y (+.f64 y x))
accuracy	0.015625	(*.f64 x (/.f64 x (+.f64 y x)))
accuracy	0.0546875	(*.f64 y (/.f64 y (+.f64 y x)))
accuracy	0.0	(/.f64 (-.f64 y x) #s(literal -2 binary64))
accuracy	0.0	(-.f64 y x)
accuracy	0.0	(sqrt.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)))
accuracy	0.125	(fma.f64 (sqrt.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64))) (sqrt.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64))) x)
accuracy	0.0	(/.f64 (-.f64 y x) #s(literal -2 binary64))
accuracy	0.0	(-.f64 y x)
accuracy	0.0	(sqrt.f64 x)
accuracy	0.09441376953688403	(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (-.f64 y x) #s(literal -2 binary64)))
accuracy	0.0	(-.f64 x y)
accuracy	0.0	(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))
accuracy	0.0	(fabs.f64 (-.f64 x y))
accuracy	14.279614303575563	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)))
accuracy	0.0	(-.f64 x y)
accuracy	0.0	(fabs.f64 (-.f64 x y))
accuracy	0.0	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x))
accuracy	0.03125	(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)

Samples

35.0ms	84×	0	valid
34.0ms	156×	0	invalid
23.0ms	10×	1	valid
4.0ms	6×	2	valid

Compiler

Compiled 189 to 30 computations (84.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 79.0ms

ival-add: 31.0ms (39.5% of total)

ival-sqrt: 22.0ms (28% of total)

ival-div: 8.0ms (10.2% of total)

ival-mult: 7.0ms (8.9% of total)

ival-sub: 4.0ms (5.1% of total)

ival-fabs: 3.0ms (3.8% of total)

adjust: 2.0ms (2.5% of total)

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

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

exact: 0.0ms (0% of total)

series245.0ms (4.2%)

Memory

-20.5MiB live, 83.7MiB allocated; 201ms collecting garbage

Counts

18 → 158

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
212.0ms	y	@	-inf	((+ x (/ (fabs (- y x)) 2)) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (+ x (/ (fabs (- y x)) 2)) (* (fabs (- x y)) 1/2) (+ (* (sqrt x) (sqrt x)) (/ (- y x) -2)) (sqrt x) (/ (- y x) -2) (- y x) (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (sqrt (/ (- y x) -2)) (- (* y (/ y (+ y x))) (* x (/ x (+ y x)))) (+ x (/ (- (* y (/ y (+ y x))) (* x (/ x (+ y x)))) 2)) (/ (- (* y (/ y (+ y x))) (* x (/ x (+ y x)))) 2) (* y (/ y (+ y x))) (* x (/ x (+ y x))) (/ y (+ y x)))
12.0ms	x	@	0	((+ x (/ (fabs (- y x)) 2)) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (+ x (/ (fabs (- y x)) 2)) (* (fabs (- x y)) 1/2) (+ (* (sqrt x) (sqrt x)) (/ (- y x) -2)) (sqrt x) (/ (- y x) -2) (- y x) (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (sqrt (/ (- y x) -2)) (- (* y (/ y (+ y x))) (* x (/ x (+ y x)))) (+ x (/ (- (* y (/ y (+ y x))) (* x (/ x (+ y x)))) 2)) (/ (- (* y (/ y (+ y x))) (* x (/ x (+ y x)))) 2) (* y (/ y (+ y x))) (* x (/ x (+ y x))) (/ y (+ y x)))
6.0ms	y	@	0	((+ x (/ (fabs (- y x)) 2)) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (+ x (/ (fabs (- y x)) 2)) (* (fabs (- x y)) 1/2) (+ (* (sqrt x) (sqrt x)) (/ (- y x) -2)) (sqrt x) (/ (- y x) -2) (- y x) (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (sqrt (/ (- y x) -2)) (- (* y (/ y (+ y x))) (* x (/ x (+ y x)))) (+ x (/ (- (* y (/ y (+ y x))) (* x (/ x (+ y x)))) 2)) (/ (- (* y (/ y (+ y x))) (* x (/ x (+ y x)))) 2) (* y (/ y (+ y x))) (* x (/ x (+ y x))) (/ y (+ y x)))
5.0ms	x	@	inf	((+ x (/ (fabs (- y x)) 2)) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (+ x (/ (fabs (- y x)) 2)) (* (fabs (- x y)) 1/2) (+ (* (sqrt x) (sqrt x)) (/ (- y x) -2)) (sqrt x) (/ (- y x) -2) (- y x) (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (sqrt (/ (- y x) -2)) (- (* y (/ y (+ y x))) (* x (/ x (+ y x)))) (+ x (/ (- (* y (/ y (+ y x))) (* x (/ x (+ y x)))) 2)) (/ (- (* y (/ y (+ y x))) (* x (/ x (+ y x)))) 2) (* y (/ y (+ y x))) (* x (/ x (+ y x))) (/ y (+ y x)))
4.0ms	x	@	-inf	((+ x (/ (fabs (- y x)) 2)) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (+ x (/ (fabs (- y x)) 2)) (* (fabs (- x y)) 1/2) (+ (* (sqrt x) (sqrt x)) (/ (- y x) -2)) (sqrt x) (/ (- y x) -2) (- y x) (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (sqrt (/ (- y x) -2)) (- (* y (/ y (+ y x))) (* x (/ x (+ y x)))) (+ x (/ (- (* y (/ y (+ y x))) (* x (/ x (+ y x)))) 2)) (/ (- (* y (/ y (+ y x))) (* x (/ x (+ y x)))) 2) (* y (/ y (+ y x))) (* x (/ x (+ y x))) (/ y (+ y x)))

simplify215.0ms (3.7%)

Memory

14.6MiB live, 291.2MiB allocated; 76ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	618	2386
1	2021	2228
2	7450	2216
0	8024	2122

Stop Event

1×	iter limit
1×	node limit

Counts

158 → 156

Calls

Call 1

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

Outputs
(* 1/2 (fabs (- y x)))
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))
(+ x (* 1/2 (fabs (- y x))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(* 1/2 (fabs (- x y)))
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))
(+ x (* 1/2 (fabs (- x y))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(+ (* -1/2 y) (* 3/2 x))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
(sqrt x)
(sqrt.f64 x)
(+ (* -1/2 y) (* 1/2 x))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
y
(+ y (* -1 x))
(-.f64 y x)
(* y (pow (sqrt -1/2) 2))
(*.f64 #s(literal -1/2 binary64) y)
(+ (* x (+ 1 (* -1 (pow (sqrt -1/2) 2)))) (* y (pow (sqrt -1/2) 2)))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
(* (sqrt y) (sqrt -1/2))
(*.f64 (sqrt.f64 y) (sqrt.f64 #s(literal -1/2 binary64)))
(+ (* -1/2 (* (* x (sqrt -1/2)) (sqrt (/ 1 y)))) (* (sqrt y) (sqrt -1/2)))
(fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) x) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 (sqrt.f64 y) (sqrt.f64 #s(literal -1/2 binary64))))
(+ (* x (+ (* -1/2 (* (sqrt (/ 1 y)) (sqrt -1/2))) (* -1/8 (* (* x (sqrt -1/2)) (sqrt (/ 1 (pow y 3))))))) (* (sqrt y) (sqrt -1/2)))
(fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 #s(literal -1/2 binary64)) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) x (*.f64 (sqrt.f64 y) (sqrt.f64 #s(literal -1/2 binary64))))
(+ (* x (+ (* -1/2 (* (sqrt (/ 1 y)) (sqrt -1/2))) (* x (+ (* -1/8 (* (sqrt (/ 1 (pow y 3))) (sqrt -1/2))) (* -1/16 (* (* x (sqrt -1/2)) (sqrt (/ 1 (pow y 5))))))))) (* (sqrt y) (sqrt -1/2)))
(fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (.f64 (.f64 #s(literal -1/16 binary64) (.f64 (sqrt.f64 #s(literal -1/2 binary64)) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) x)) x (*.f64 (sqrt.f64 y) (sqrt.f64 #s(literal -1/2 binary64))))
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(+ (* 1/2 x) (* 1/2 y))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(+ (* -1/2 x) (* 1/2 y))
(*.f64 #s(literal -1/2 binary64) (-.f64 x y))
(+ y (* x (- (/ x y) 1)))
(fma.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) x y)
(+ y (* x (- (* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) 1)))
(fma.f64 (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x) #s(literal 1 binary64)) x y)
(/ (pow x 2) y)
(*.f64 (/.f64 x y) x)
(* (pow x 2) (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x) x)
(* (pow x 2) (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(.f64 (fma.f64 (-.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) x (/.f64 #s(literal 1 binary64) y)) (.f64 x x))
(* (pow x 2) (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(.f64 (fma.f64 (fma.f64 (neg.f64 x) (/.f64 x (pow.f64 y #s(literal 4 binary64))) (-.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) y))) x (/.f64 #s(literal 1 binary64) y)) (.f64 x x))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (* x (- (/ x (pow y 2)) (/ 1 y))))
(fma.f64 (-.f64 (/.f64 (/.f64 x y) y) (/.f64 #s(literal 1 binary64) y)) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))))
(fma.f64 (-.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (.f64 y y)) x) (/.f64 #s(literal 1 binary64) y)) x #s(literal 1 binary64))
x
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
(*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x)
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x))))
(*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x)
(* x (+ 1 (* -1 (/ y x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(*.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 3/2 binary64)) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* -1/2 (/ y x))))
(*.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x)
(* -1 x)
(neg.f64 x)
(* x (- (/ y x) 1))
(*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x)
(* x (+ 1 (* -1 (pow (sqrt -1/2) 2))))
(*.f64 #s(literal 3/2 binary64) x)
(* x (+ 1 (+ (* -1 (pow (sqrt -1/2) 2)) (/ (* y (pow (sqrt -1/2) 2)) x))))
(*.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 3/2 binary64)) x)
(* (sqrt x) (* (sqrt -1) (sqrt -1/2)))
(.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 x))
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* y (sqrt -1/2)) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2)))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -1/2 binary64)) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -1 binary64)))) x)
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (* (pow y 2) (sqrt -1/2)) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* y (sqrt -1/2)) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) y) y) #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -1/2 binary64)) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -1 binary64))))) x)
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (* (pow y 2) (sqrt -1/2)) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (* (pow y 3) (sqrt -1/2)) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* y (sqrt -1/2)) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2)))))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) y) y) #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 #s(literal -1/2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -1/2 binary64)) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -1 binary64)))))) x)
(* x (- (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (pow y 2) (pow x 2)))) 1))
(*.f64 (-.f64 (/.f64 (-.f64 y (/.f64 #s(literal 0 binary64) x)) x) #s(literal 1 binary64)) x)
(* x (+ 1/2 (* 1/2 (/ y x))))
(*.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (+ (* 1/2 (/ y x)) (* 1/2 (/ (+ (* -1 (pow y 2)) (pow y 2)) (pow x 2))))))
(*.f64 (fma.f64 (/.f64 (-.f64 y (/.f64 #s(literal 0 binary64) x)) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(* x (- (* 1/2 (/ y x)) 1/2))
(*.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x)
(* x (- (+ (* 1/2 (/ y x)) (* 1/2 (/ (+ (* -1 (pow y 2)) (pow y 2)) (pow x 2)))) 1/2))
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 #s(literal 0 binary64) x)) x) #s(literal 1/2 binary64)) x)
(/ (pow y 2) x)
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(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(*.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 y))
(* -1 (* y (- (/ x y) 1)))
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (neg.f64 y))
(* -1 (* y (pow (sqrt 1/2) 2)))
(*.f64 #s(literal -1/2 binary64) y)
(* -1 (* y (+ (* -1 (/ (+ x (* x (pow (sqrt 1/2) 2))) y)) (pow (sqrt 1/2) 2))))
(*.f64 (fma.f64 #s(literal -3/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) (neg.f64 y))
(* -1 (* (sqrt y) (* (sqrt -1) (sqrt 1/2))))
(.f64 (.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (* y (+ (* 1/2 (* (* x (* (sqrt -1) (sqrt 1/2))) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (* (sqrt -1) (sqrt 1/2))))))
(.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (neg.f64 y))
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (* (sqrt -1) (sqrt 1/2))) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (* x (* (sqrt -1) (sqrt 1/2))) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (* (sqrt -1) (sqrt 1/2)))))))
(.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 x (.f64 (sqrt.f64 #s(literal -1 binary64)) x))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))) (neg.f64 y))
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (* (sqrt -1) (sqrt 1/2))) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (* (pow x 3) (* (sqrt -1) (sqrt 1/2))) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (* x (* (sqrt -1) (sqrt 1/2))) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (* (sqrt -1) (sqrt 1/2))))))))
(.f64 (fma.f64 (.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 x (.f64 (sqrt.f64 #s(literal -1 binary64)) x))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))))) (neg.f64 y))
(* -1 (* y (- (* -1 (/ (- (+ (* -1 (/ (pow x 2) y)) (/ (pow x 2) y)) x) y)) 1)))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (neg.f64 y)) #s(literal 1 binary64)) (neg.f64 y))
(* -1 (* y (- (* -1 (/ (+ x (* -1/2 x)) y)) 1/2)))
(.f64 (-.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (neg.f64 y))
(* -1 (* y (- (* -1 (/ (+ x (+ (* -1/2 x) (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)))) y)) 1/2)))
(*.f64 (-.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64)) (neg.f64 y))
(* -1 (* y (- (* 1/2 (/ x y)) 1/2)))
(.f64 (-.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (neg.f64 y))
(* -1 (* y (- (* -1 (/ (+ (* -1/2 x) (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y)) 1/2)))
(*.f64 (-.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64)) (neg.f64 y))
(* -1 (* y (- (* -1 (/ (- (/ (pow x 2) y) x) y)) 1)))
(.f64 (-.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x) #s(literal 1 binary64)) (neg.f64 y))
(* -1 (* y (- (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y)) x) y)) 1)))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 x) x (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) y) x) y) #s(literal 1 binary64)) (neg.f64 y))
(* -1 (/ (+ (* -1 (pow x 2)) (/ (pow x 3) y)) y))
(.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x) x)
(* -1 (/ (+ (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (* -1 (pow x 2))) y))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y))) y)
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x 5) y) (pow x 4)) y)) (pow x 3)) y)) (* -1 (pow x 2))) y))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x x (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) y) (pow.f64 x #s(literal 4 binary64))) (neg.f64 y)) (pow.f64 x #s(literal 3 binary64))) y))) y)
(+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) (* -1 x)) y)))
(+.f64 (/.f64 (-.f64 (*.f64 (/.f64 x y) x) x) y) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y)) (* -1 x)) y)))
(-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x))

rewrite129.0ms (2.2%)

Memory

-6.7MiB live, 130.2MiB allocated; 81ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	161
0	49	139
1	193	115
0	1570	115

Stop Event

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

Counts

18 → 268

Calls

Call 1

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

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

eval96.0ms (1.7%)

Memory: -4.8MiB live, 83.0MiB allocated; 23ms collecting garbage
Compiler: Compiled 14 933 to 1 778 computations (88.1% saved)

prune11.0ms (0.2%)

Memory

35.6MiB live, 35.6MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	554	7	561
Fresh	1	0	1
Picked	5	0	5
Done	0	0	0
Total	560	7	567

Accuracy

100.0%

Counts

567 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	59.3%	#s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
▶	31.8%	#s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (*.f64 #s(literal 3/2 binary64) x))
▶	29.6%	#s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (*.f64 #s(literal -1/2 binary64) y))
	50.3%	#s(approx (+ x (/ (- (* y (/ y (+ y x))) (* x (/ x (+ y x)))) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))
▶	22.0%	#s(approx (+ x (/ (- (* y (/ y (+ y x))) (* x (/ x (+ y x)))) 2)) (*.f64 #s(literal 1/2 binary64) y))
▶	30.6%	#s(approx (+ x (/ (- (* y (/ y (+ y x))) (* x (/ x (+ y x)))) 2)) (*.f64 #s(literal 1/2 binary64) x))
	57.6%	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x))

Compiler

Compiled 300 to 184 computations (38.7% saved)

simplify176.0ms (3%)

Memory

-20.8MiB live, 122.3MiB allocated; 51ms collecting garbage

Localize:

Found 11 expressions of interest:

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

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	30	139
0	35	115
1	67	115
2	135	109
3	273	107
4	585	107
5	1201	107
6	1944	95
7	4596	91
0	8118	91

Stop Event

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

Calls

Call 1

Inputs
#s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
#s(literal 3/2 binary64)
x
(*.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
y
#s(approx (+ x (/ (- (* y (/ y (+ y x))) (* x (/ x (+ y x)))) 2)) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
#s(approx (+ x (/ (- (* y (/ y (+ y x))) (* x (/ x (+ y x)))) 2)) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
#s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (*.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
y
#s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (*.f64 #s(literal 3/2 binary64) x))
(*.f64 #s(literal 3/2 binary64) x)
#s(literal 3/2 binary64)
x

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

localize137.0ms (2.4%)

Memory

16.6MiB live, 121.3MiB allocated; 70ms collecting garbage

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 #s(literal 3/2 binary64) x)
accuracy	17.886630047761322	#s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (*.f64 #s(literal 3/2 binary64) x))
accuracy	0.0	(*.f64 #s(literal -1/2 binary64) y)
accuracy	16.72049878201472	#s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (*.f64 #s(literal -1/2 binary64) y))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) y)
accuracy	16.743401541115222	#s(approx (+ x (/ (- (* y (/ y (+ y x))) (* x (/ x (+ y x)))) 2)) (*.f64 #s(literal 1/2 binary64) y))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	17.86615341867112	#s(approx (+ x (/ (- (* y (/ y (+ y x))) (* x (/ x (+ y x)))) 2)) (*.f64 #s(literal 1/2 binary64) x))
accuracy	0.0	(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
accuracy	0.0	(*.f64 #s(literal -1/2 binary64) y)
accuracy	0.0	#s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))

Samples

32.0ms	6×	2	valid
19.0ms	124×	0	valid
17.0ms	116×	0	invalid
3.0ms	10×	1	valid

Compiler

Compiled 119 to 27 computations (77.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

adjust: 31.0ms (53.5% of total)

ival-mult: 10.0ms (17.3% of total)

ival-div: 7.0ms (12.1% of total)

ival-add: 5.0ms (8.6% of total)

ival-sub: 3.0ms (5.2% of total)

ival-sqrt: 2.0ms (3.5% of total)

exact: 1.0ms (1.7% of total)

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

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

series18.0ms (0.3%)

Memory

-29.3MiB live, 17.5MiB allocated; 13ms collecting garbage

Counts

10 → 31

Calls

Call 1

Inputs
#s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) y)
#s(approx (+ x (/ (- (* y (/ y (+ y x))) (* x (/ x (+ y x)))) 2)) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(approx (+ x (/ (- (* y (/ y (+ y x))) (* x (/ x (+ y x)))) 2)) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) y)
#s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (*.f64 #s(literal 3/2 binary64) x))
(*.f64 #s(literal 3/2 binary64) x)

Outputs
(* y (pow (sqrt -1/2) 2))
(+ (* x (+ 1 (* -1 (pow (sqrt -1/2) 2)))) (* y (pow (sqrt -1/2) 2)))
(* -1/2 y)
(+ (* -1/2 y) (* 3/2 x))
(* 1/2 y)
(+ (* 1/2 x) (* 1/2 y))
(* 1/2 x)
(* 3/2 x)
(* x (+ 1 (* -1 (pow (sqrt -1/2) 2))))
(* x (+ 1 (+ (* -1 (pow (sqrt -1/2) 2)) (/ (* y (pow (sqrt -1/2) 2)) x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 1/2 (* 1/2 (/ y x))))
(* x (+ 1/2 (+ (* 1/2 (/ y x)) (* 1/2 (/ (+ (* -1 (pow y 2)) (pow y 2)) (pow x 2))))))
(* -1 (* x (- (pow (sqrt -1/2) 2) 1)))
(* -1 (* x (- (+ (* -1 (/ (* y (pow (sqrt -1/2) 2)) x)) (pow (sqrt -1/2) 2)) 1)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (pow y 2)) (pow y 2)) x)) (* 1/2 y)) x)) 1/2)))
(+ x (* -1 (* x (pow (sqrt -1/2) 2))))
(+ x (+ (* -1 (* x (pow (sqrt -1/2) 2))) (* y (pow (sqrt -1/2) 2))))
(+ x (* -1/2 x))
(+ x (+ (* -1/2 x) (* 1/2 y)))
(* y (+ (* -1 (/ (* x (pow (sqrt -1/2) 2)) y)) (+ (/ x y) (pow (sqrt -1/2) 2))))
(* y (- (* 3/2 (/ x y)) 1/2))
(* y (+ 1/2 (+ (* -1/2 (/ x y)) (/ x y))))
(* y (+ 1/2 (+ (* -1/2 (/ x y)) (+ (* -1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow y 2))) (/ x y)))))
(* -1 (* y (pow (sqrt 1/2) 2)))
(* -1 (* y (+ (* -1 (/ (+ x (* x (pow (sqrt 1/2) 2))) y)) (pow (sqrt 1/2) 2))))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(* -1 (* y (- (* -1 (/ (+ x (* -1/2 x)) y)) 1/2)))
(* -1 (* y (- (* -1 (/ (+ x (+ (* -1/2 x) (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)))) y)) 1/2)))

Calls

6 calls:

Time	Variable		Point	Expression
11.0ms	x	@	0	((+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (+ (* 3/2 x) (* -1/2 y)) (* -1/2 y) (+ x (/ (- (* y (/ y (+ y x))) (* x (/ x (+ y x)))) 2)) (* 1/2 x) (+ x (/ (- (* y (/ y (+ y x))) (* x (/ x (+ y x)))) 2)) (* 1/2 y) (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (* 3/2 x))
1.0ms	x	@	inf	((+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (+ (* 3/2 x) (* -1/2 y)) (* -1/2 y) (+ x (/ (- (* y (/ y (+ y x))) (* x (/ x (+ y x)))) 2)) (* 1/2 x) (+ x (/ (- (* y (/ y (+ y x))) (* x (/ x (+ y x)))) 2)) (* 1/2 y) (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (* 3/2 x))
1.0ms	x	@	-inf	((+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (+ (* 3/2 x) (* -1/2 y)) (* -1/2 y) (+ x (/ (- (* y (/ y (+ y x))) (* x (/ x (+ y x)))) 2)) (* 1/2 x) (+ x (/ (- (* y (/ y (+ y x))) (* x (/ x (+ y x)))) 2)) (* 1/2 y) (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (* 3/2 x))
1.0ms	y	@	0	((+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (+ (* 3/2 x) (* -1/2 y)) (* -1/2 y) (+ x (/ (- (* y (/ y (+ y x))) (* x (/ x (+ y x)))) 2)) (* 1/2 x) (+ x (/ (- (* y (/ y (+ y x))) (* x (/ x (+ y x)))) 2)) (* 1/2 y) (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (* 3/2 x))
1.0ms	y	@	inf	((+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (+ (* 3/2 x) (* -1/2 y)) (* -1/2 y) (+ x (/ (- (* y (/ y (+ y x))) (* x (/ x (+ y x)))) 2)) (* 1/2 x) (+ x (/ (- (* y (/ y (+ y x))) (* x (/ x (+ y x)))) 2)) (* 1/2 y) (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (* 3/2 x))

simplify184.0ms (3.2%)

Memory

11.7MiB live, 240.6MiB allocated; 42ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	123	362
1	405	214
2	1652	211
3	6870	211
0	8023	195

Stop Event

1×	iter limit
1×	node limit

Counts

31 → 31

Calls

Call 1

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

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

rewrite51.0ms (0.9%)

Memory

17.0MiB live, 61.1MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	124
0	35	100
1	142	76
0	1115	76

Stop Event

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

Counts

10 → 36

Calls

Call 1

Inputs
#s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) y)
#s(approx (+ x (/ (- (* y (/ y (+ y x))) (* x (/ x (+ y x)))) 2)) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(approx (+ x (/ (- (* y (/ y (+ y x))) (* x (/ x (+ y x)))) 2)) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) y)
#s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (*.f64 #s(literal 3/2 binary64) x))
(*.f64 #s(literal 3/2 binary64) x)

Outputs
#s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
(/.f64 (-.f64 (.f64 #s(literal 9/4 binary64) (.f64 x x)) (.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal 1/2 binary64) y))) (fma.f64 #s(literal 3/2 binary64) x (.f64 #s(literal 1/2 binary64) y)))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 #s(literal 9/4 binary64) (.f64 x x))) (-.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x)))
(/.f64 (-.f64 (.f64 #s(literal 27/8 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64))) (fma.f64 #s(literal 9/4 binary64) (.f64 x x) (fma.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal 1/2 binary64) y) (.f64 (.f64 #s(literal 3/2 binary64) x) (.f64 #s(literal 1/2 binary64) y)))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 9/4 binary64) (.f64 x x)) (.f64 #s(literal 1/4 binary64) (.f64 y y)))) (neg.f64 (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal 1/2 binary64) y))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64)) (.f64 #s(literal 27/8 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 #s(literal 9/4 binary64) (.f64 x x) (.f64 (.f64 #s(literal -1/2 binary64) y) (-.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x))))))
(/.f64 (-.f64 (.f64 #s(literal 9/4 binary64) (.f64 x x)) (.f64 #s(literal 1/4 binary64) (.f64 y y))) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal 1/2 binary64) y)))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64)) (.f64 #s(literal 27/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (-.f64 (.f64 #s(literal 9/4 binary64) (.f64 x x)) (.f64 (.f64 (*.f64 #s(literal 3/2 binary64) x) #s(literal -1/2 binary64)) y))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64)) (.f64 #s(literal 27/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal 9/4 binary64) (.f64 x x) (.f64 (.f64 #s(literal -1/2 binary64) y) (-.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x)))))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 (neg.f64 y) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
(fma.f64 x #s(literal 3/2 binary64) (*.f64 (neg.f64 y) #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 3/2 binary64) (*.f64 #s(literal -1/2 binary64) y))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) x))
(-.f64 (/.f64 (.f64 #s(literal 9/4 binary64) (.f64 x x)) (fma.f64 #s(literal 3/2 binary64) x (.f64 #s(literal 1/2 binary64) y))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (fma.f64 #s(literal 3/2 binary64) x (.f64 #s(literal 1/2 binary64) y))))
(-.f64 (.f64 #s(literal 3/2 binary64) x) (.f64 (neg.f64 y) #s(literal -1/2 binary64)))
(-.f64 (.f64 #s(literal 3/2 binary64) x) (.f64 #s(literal 1/2 binary64) y))
(-.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal -3/2 binary64) x))
(-.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 (neg.f64 x) #s(literal 3/2 binary64)))
(+.f64 (/.f64 (.f64 #s(literal 27/8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 9/4 binary64) (.f64 x x) (.f64 (.f64 #s(literal -1/2 binary64) y) (-.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x))))) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 #s(literal 9/4 binary64) (.f64 x x) (.f64 (.f64 #s(literal -1/2 binary64) y) (-.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x))))))
(+.f64 (.f64 #s(literal 3/2 binary64) x) (.f64 (neg.f64 y) #s(literal 1/2 binary64)))
(+.f64 (.f64 #s(literal 3/2 binary64) x) (.f64 #s(literal -1/2 binary64) y))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x))
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 y #s(literal -1/2 binary64))
#s(approx (+ x (/ (- (* y (/ y (+ y x))) (* x (/ x (+ y x)))) 2)) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
#s(approx (+ x (/ (- (* y (/ y (+ y x))) (* x (/ x (+ y x)))) 2)) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 y #s(literal 1/2 binary64))
#s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (*.f64 #s(literal 3/2 binary64) x))
(*.f64 #s(literal 3/2 binary64) x)
(*.f64 x #s(literal 3/2 binary64))

eval5.0ms (0.1%)

Memory: 11.6MiB live, 11.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 430 to 180 computations (87.4% saved)

prune14.0ms (0.2%)

Memory

-45.1MiB live, 10.9MiB allocated; 13ms collecting garbage

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	2	2
Picked	0	5	5
Done	0	0	0
Total	52	7	59

Accuracy

100.0%

Counts

59 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	59.3%	#s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
✓	31.8%	#s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (*.f64 #s(literal 3/2 binary64) x))
✓	29.6%	#s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (*.f64 #s(literal -1/2 binary64) y))
▶	50.3%	#s(approx (+ x (/ (- (* y (/ y (+ y x))) (* x (/ x (+ y x)))) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))
✓	22.0%	#s(approx (+ x (/ (- (* y (/ y (+ y x))) (* x (/ x (+ y x)))) 2)) (*.f64 #s(literal 1/2 binary64) y))
✓	30.6%	#s(approx (+ x (/ (- (* y (/ y (+ y x))) (* x (/ x (+ y x)))) 2)) (*.f64 #s(literal 1/2 binary64) x))
▶	57.6%	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x))

Compiler

Compiled 150 to 92 computations (38.7% saved)

simplify114.0ms (2%)

Memory

33.6MiB live, 166.4MiB allocated; 20ms collecting garbage

Localize:

Found 7 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	83
0	31	83
1	56	83
2	115	80
3	265	79
4	619	79
5	1246	79
6	1975	73
7	4640	73
0	8130	72

Stop Event

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

Calls

Call 1

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

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

localize82.0ms (1.4%)

Memory

-13.5MiB live, 85.3MiB allocated; 17ms collecting garbage

Localize:

Found 7 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 y x)
accuracy	0.0	(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
accuracy	0.0	#s(approx (+ x (/ (- (* y (/ y (+ y x))) (* x (/ x (+ y x)))) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))
accuracy	0.0	(fabs.f64 #s(approx (- x y) (neg.f64 y)))
accuracy	0.0	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x))
accuracy	0.03515625	(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x)
accuracy	32.37549899025466	#s(approx (- x y) (neg.f64 y))

Samples

69.0ms	250×	0	valid
2.0ms	4×	1	valid
1.0ms	2×	2	valid

Compiler

Compiled 60 to 24 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-div: 28.0ms (45.3% of total)

ival-fabs: 12.0ms (19.4% of total)

ival-sub: 9.0ms (14.6% of total)

ival-mult: 6.0ms (9.7% of total)

ival-add: 5.0ms (8.1% of total)

adjust: 1.0ms (1.6% of total)

ival-neg: 1.0ms (1.6% of total)

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

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

exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory

7.9MiB live, 7.9MiB allocated; 0ms collecting garbage

Counts

7 → 42

Calls

Call 1

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

Outputs
(* 1/2 (fabs (- y x)))
(+ x (* 1/2 (fabs (- y x))))
(* 1/2 (fabs (- x y)))
(+ x (* 1/2 (fabs (- x y))))
(fabs (- x y))
(* -1 y)
(- x y)
(* 1/2 y)
(+ (* 1/2 x) (* 1/2 y))
y
(+ x y)
x
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x))))
(* x (+ 1 (* -1 (/ y x))))
(* 1/2 x)
(* x (+ 1/2 (* 1/2 (/ y x))))
(* x (+ 1/2 (+ (* 1/2 (/ y x)) (* 1/2 (/ (+ (* -1 (pow y 2)) (pow y 2)) (pow x 2))))))
(* x (+ 1 (/ y x)))
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1)))
(fabs (neg (+ y (* -1 x))))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (pow y 2)) (pow y 2)) x)) (* 1/2 y)) x)) 1/2)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+ x (* -1 y))
(+ x (* -1/2 x))
(+ x (+ (* -1/2 x) (* 1/2 y)))
(* y (- (/ x y) 1))
(* y (+ 1/2 (+ (* -1/2 (/ x y)) (/ x y))))
(* y (+ 1/2 (+ (* -1/2 (/ x y)) (+ (* -1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow y 2))) (/ x y)))))
(* y (+ 1/2 (* 1/2 (/ x y))))
(* y (+ 1 (/ x y)))
(+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))
(+ x (* 1/2 (fabs (+ x (* -1 y)))))
(fabs (+ x (* -1 y)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (- (* -1 (/ (+ x (* -1/2 x)) y)) 1/2)))
(* -1 (* y (- (* -1 (/ (+ x (+ (* -1/2 x) (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)))) y)) 1/2)))
(* -1 (* y (- (* -1/2 (/ x y)) 1/2)))
(* -1 (* y (- (* -1 (/ x y)) 1)))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	((+ x (/ (fabs (- y x)) 2)) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (+ x (/ (- (* y (/ y (+ y x))) (* x (/ x (+ y x)))) 2)) (* (+ y x) 1/2) (+ y x))
1.0ms	y	@	0	((+ x (/ (fabs (- y x)) 2)) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (+ x (/ (- (* y (/ y (+ y x))) (* x (/ x (+ y x)))) 2)) (* (+ y x) 1/2) (+ y x))
1.0ms	y	@	-inf	((+ x (/ (fabs (- y x)) 2)) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (+ x (/ (- (* y (/ y (+ y x))) (* x (/ x (+ y x)))) 2)) (* (+ y x) 1/2) (+ y x))
1.0ms	y	@	inf	((+ x (/ (fabs (- y x)) 2)) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (+ x (/ (- (* y (/ y (+ y x))) (* x (/ x (+ y x)))) 2)) (* (+ y x) 1/2) (+ y x))
1.0ms	x	@	-inf	((+ x (/ (fabs (- y x)) 2)) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (+ x (/ (- (* y (/ y (+ y x))) (* x (/ x (+ y x)))) 2)) (* (+ y x) 1/2) (+ y x))

simplify222.0ms (3.8%)

Memory

22.2MiB live, 254.0MiB allocated; 76ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	135	313
1	418	300
2	1294	296
3	6122	296
0	8560	282

Stop Event

1×	iter limit
1×	node limit

Counts

42 → 40

Calls

Call 1

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

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

rewrite169.0ms (2.9%)

Memory

3.7MiB live, 237.5MiB allocated; 35ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	75
0	31	74
1	134	62
2	1057	59
0	8508	59

Stop Event

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

Counts

7 → 156

Calls

Call 1

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

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

eval41.0ms (0.7%)

Memory: -35.6MiB live, 113.2MiB allocated; 19ms collecting garbage
Compiler: Compiled 7 305 to 715 computations (90.2% saved)

prune6.0ms (0.1%)

Memory

23.4MiB live, 23.4MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	168	1	169
Fresh	0	0	0
Picked	1	1	2
Done	0	5	5
Total	169	7	176

Accuracy

100.0%

Counts

176 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	59.3%	#s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
✓	31.8%	#s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (*.f64 #s(literal 3/2 binary64) x))
✓	29.6%	#s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (*.f64 #s(literal -1/2 binary64) y))
✓	50.3%	#s(approx (+ x (/ (- (* y (/ y (+ y x))) (* x (/ x (+ y x)))) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))
✓	22.0%	#s(approx (+ x (/ (- (* y (/ y (+ y x))) (* x (/ x (+ y x)))) 2)) (*.f64 #s(literal 1/2 binary64) y))
✓	30.6%	#s(approx (+ x (/ (- (* y (/ y (+ y x))) (* x (/ x (+ y x)))) 2)) (*.f64 #s(literal 1/2 binary64) x))
	37.8%	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 #s(approx (- x y) (neg.f64 y)) #s(literal 1/2 binary64) x))

Compiler

Compiled 420 to 166 computations (60.5% saved)

regimes43.0ms (0.7%)

Memory

0.9MiB live, 46.6MiB allocated; 6ms collecting garbage

Counts

15 → 1

Calls

Call 1

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

Outputs
#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x))

Calls

3 calls:

33.0ms	x
5.0ms	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
4.0ms	y

Results

Accuracy	Segments	Branch
99.9%	1	`(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))`
99.9%	1	`x`
99.9%	1	`y`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes35.0ms (0.6%)

Memory

-21.4MiB live, 32.8MiB allocated; 10ms collecting garbage

Counts

8 → 3

Calls

Call 1

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

Outputs

#s(approx (+ x (/ (- (* y (/ y (+ y x))) (* x (/ x (+ y x)))) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))

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

#s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (*.f64 #s(literal 3/2 binary64) x))

Calls

3 calls:

29.0ms	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
3.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
77.6%	2	`(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))`
83.9%	3	`x`
71.5%	2	`y`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes3.0ms (0.1%)

Memory

11.5MiB live, 11.5MiB allocated; 0ms collecting garbage

Counts

7 → 3

Calls

Call 1

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

Outputs

#s(approx (+ x (/ (- (* y (/ y (+ y x))) (* x (/ x (+ y x)))) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))

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

#s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (*.f64 #s(literal 3/2 binary64) x))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
83.6%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes10.0ms (0.2%)

Memory

-17.3MiB live, 27.4MiB allocated; 6ms collecting garbage

Counts

6 → 2

Calls

Call 1

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

Outputs

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

#s(approx (+ x (/ (- (* y (/ y (+ y x))) (* x (/ x (+ y x)))) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))

Calls

3 calls:

5.0ms	y
2.0ms	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
2.0ms	x

Results

Accuracy	Segments	Branch
71.5%	2	`y`
58.9%	2	`(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))`
71.8%	4	`x`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes5.0ms (0.1%)

Memory

17.1MiB live, 17.1MiB allocated; 0ms collecting garbage

Counts

5 → 3

Calls

Call 1

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

Outputs

#s(approx (+ x (/ (- (* y (/ y (+ y x))) (* x (/ x (+ y x)))) 2)) (*.f64 #s(literal 1/2 binary64) x))

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

#s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (*.f64 #s(literal 3/2 binary64) x))

Calls

2 calls:

2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
65.2%	3	`x`
63.8%	3	`y`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes2.0ms (0%)

Memory

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

Counts

4 → 4

Calls

Call 1

Inputs
#s(approx (+ x (/ (- (* y (/ y (+ y x))) (* x (/ x (+ y x)))) 2)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ x (/ (- (* y (/ y (+ y x))) (* x (/ x (+ y x)))) 2)) (*.f64 #s(literal 1/2 binary64) y))
#s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (*.f64 #s(literal 3/2 binary64) x))

Outputs
#s(approx (+ x (/ (- (* y (/ y (+ y x))) (* x (/ x (+ y x)))) 2)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (+ x (/ (- (* y (/ y (+ y x))) (* x (/ x (+ y x)))) 2)) (*.f64 #s(literal 1/2 binary64) y))
#s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (*.f64 #s(literal 3/2 binary64) x))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
66.1%	4	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes4.0ms (0.1%)

Memory

13.1MiB live, 13.1MiB allocated; 0ms collecting garbage

Counts

3 → 3

Calls

Call 1

Inputs

#s(approx (+ x (/ (- (* y (/ y (+ y x))) (* x (/ x (+ y x)))) 2)) (*.f64 #s(literal 1/2 binary64) x))

#s(approx (+ x (/ (- (* y (/ y (+ y x))) (* x (/ x (+ y x)))) 2)) (*.f64 #s(literal 1/2 binary64) y))

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

Outputs

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

#s(approx (+ x (/ (- (* y (/ y (+ y x))) (* x (/ x (+ y x)))) 2)) (*.f64 #s(literal 1/2 binary64) x))

#s(approx (+ x (/ (- (* y (/ y (+ y x))) (* x (/ x (+ y x)))) 2)) (*.f64 #s(literal 1/2 binary64) y))

Calls

2 calls:

2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
62.4%	3	`y`
49.0%	3	`x`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes7.0ms (0.1%)

Memory

-29.4MiB live, 16.5MiB allocated; 4ms collecting garbage

Counts

2 → 2

Calls

Call 1

Inputs

#s(approx (+ x (/ (- (* y (/ y (+ y x))) (* x (/ x (+ y x)))) 2)) (*.f64 #s(literal 1/2 binary64) x))

#s(approx (+ x (/ (- (* y (/ y (+ y x))) (* x (/ x (+ y x)))) 2)) (*.f64 #s(literal 1/2 binary64) y))

Outputs

#s(approx (+ x (/ (- (* y (/ y (+ y x))) (* x (/ x (+ y x)))) 2)) (*.f64 #s(literal 1/2 binary64) x))

#s(approx (+ x (/ (- (* y (/ y (+ y x))) (* x (/ x (+ y x)))) 2)) (*.f64 #s(literal 1/2 binary64) y))

Calls

3 calls:

4.0ms	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
2.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
42.1%	3	`x`
45.4%	2	`(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))`
43.0%	2	`y`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes3.0ms (0.1%)

Memory

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

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

1.0ms	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
30.6%	1	`x`
30.6%	1	`y`
30.6%	1	`(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))`

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch71.0ms (1.2%)

Memory

16.9MiB live, 119.9MiB allocated; 21ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
57.0ms	170254122739486750.0	5.70684035456912e+36
12.0ms	-4.278989182216683e-83	-2.521249745653353e-85

Samples

43.0ms	281×	0	valid
1.0ms	4×	2	valid
0.0ms	3×	1	valid

Compiler

Compiled 737 to 526 computations (28.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-div: 31.0ms (84.5% of total)

ival-sub: 2.0ms (5.4% of total)

ival-add: 1.0ms (2.7% of total)

ival-fabs: 1.0ms (2.7% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

bsearch122.0ms (2.1%)

Memory

-40.4MiB live, 6.7MiB allocated; 4ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
121.0ms	170254122739486750.0	5.70684035456912e+36
1.0ms	-4.278989182216683e-83	-2.521249745653353e-85

Compiler

Compiled 665 to 490 computations (26.3% saved)

bsearch8.0ms (0.1%)

Memory

23.4MiB live, 23.4MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	-5.220599838830262e-193	-1.4900577169937648e-193

Samples

3.0ms	75×	0	valid
0.0ms	2×	2	valid
0.0ms	1×	3	valid
0.0ms	2×	1	valid

Compiler

Compiled 226 to 162 computations (28.3% saved)

Precisions

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

ival-div: 1.0ms (41.3% of total)

ival-sub: 1.0ms (41.3% of total)

adjust: 0.0ms (0% of total)

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

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

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

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

exact: 0.0ms (0% of total)

bsearch37.0ms (0.6%)

Memory

-5.2MiB live, 40.2MiB allocated; 5ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
35.0ms	170254122739486750.0	5.70684035456912e+36
1.0ms	-4.278989182216683e-83	-2.521249745653353e-85

Samples

6.0ms	138×	0	valid
0.0ms	2×	2	valid
0.0ms	3×	1	valid
0.0ms	1×	3	valid

Compiler

Compiled 705 to 501 computations (28.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-div: 1.0ms (26.9% of total)

ival-sub: 1.0ms (26.9% of total)

ival-fabs: 1.0ms (26.9% of total)

ival-add: 1.0ms (26.9% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

bsearch35.0ms (0.6%)

Memory

-6.9MiB live, 86.8MiB allocated; 17ms collecting garbage

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	6.966909688870891e-57	2.396385869044275e-48
8.0ms	4.650501697820006e-169	1.9355752295309464e-168
1.0ms	-4.278989182216683e-83	-2.521249745653353e-85

Samples

10.0ms	228×	0	valid
1.0ms	9×	1	valid
0.0ms	3×	2	valid

Compiler

Compiled 935 to 606 computations (35.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-div: 2.0ms (31.9% of total)

ival-sub: 1.0ms (15.9% of total)

ival-add: 1.0ms (15.9% of total)

ival-fabs: 1.0ms (15.9% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

bsearch34.0ms (0.6%)

Memory

28.6MiB live, 121.8MiB allocated; 6ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	4.105804362949714e-37	1.5253079138654075e-27
13.0ms	-6717.693683612164	-0.37765241144591816

Samples

19.0ms	261×	0	valid
1.0ms	8×	1	valid
0.0ms	3×	2	valid

Compiler

Compiled 761 to 498 computations (34.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-div: 2.0ms (27.8% of total)

ival-sub: 2.0ms (27.8% of total)

ival-add: 1.0ms (13.9% of total)

ival-fabs: 1.0ms (13.9% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-7.835765301769308e-185	2.878928517252089e-242

Compiler

Compiled 11 to 12 computations (-9.1% saved)

simplify118.0ms (2%)

Memory

-29.8MiB live, 114.1MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	83	470
1	127	470
2	211	437
3	390	426
4	758	426
5	1519	426
6	2515	360
7	6973	360

Stop Event

1×	node limit

Calls

Call 1

Inputs
#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x))
(if (<=.f64 x #s(literal -6014939493153283/546812681195752981093125556779405341338292357723303109106442651602488249799843980805878294255763456 binary64)) #s(approx (+ x (/ (- (* y (/ y (+ y x))) (* x (/ x (+ y x)))) 2)) (.f64 (+.f64 y x) #s(literal 1/2 binary64))) (if (<=.f64 x #s(literal 940000000000000046839045019402240 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x)) #s(approx (+ ( (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (*.f64 #s(literal 3/2 binary64) x))))
(if (<=.f64 x #s(literal -6014939493153283/546812681195752981093125556779405341338292357723303109106442651602488249799843980805878294255763456 binary64)) #s(approx (+ x (/ (- (* y (/ y (+ y x))) (* x (/ x (+ y x)))) 2)) (.f64 (+.f64 y x) #s(literal 1/2 binary64))) (if (<=.f64 x #s(literal 940000000000000046839045019402240 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))) #s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (*.f64 #s(literal 3/2 binary64) x))))
(if (<=.f64 y #s(literal -2568425733177917/5136851466355833503165029182500125649951503713694505722166289944403058744430742990345377476833582471901350555523611540735370539306820120960085756611964727392534398116336371677921546638558908903585247316148224 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 #s(approx (- x y) (neg.f64 y)) #s(literal 1/2 binary64) x)) #s(approx (+ x (/ (- (* y (/ y (+ y x))) (* x (/ x (+ y x)))) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal -6014939493153283/546812681195752981093125556779405341338292357723303109106442651602488249799843980805878294255763456 binary64)) #s(approx (+ x (/ (- (* y (/ y (+ y x))) (* x (/ x (+ y x)))) 2)) (.f64 #s(literal 1/2 binary64) x)) (if (<=.f64 x #s(literal 1049999999999999972720246784 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 #s(approx (- x y) (neg.f64 y)) #s(literal 1/2 binary64) x)) #s(approx (+ ( (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (*.f64 #s(literal 3/2 binary64) x))))
(if (<=.f64 x #s(literal -6014939493153283/546812681195752981093125556779405341338292357723303109106442651602488249799843980805878294255763456 binary64)) #s(approx (+ x (/ (- (* y (/ y (+ y x))) (* x (/ x (+ y x)))) 2)) (.f64 #s(literal 1/2 binary64) x)) (if (<=.f64 x #s(literal 1954587813565703/2124551971267068394758352826209874509318372470908127692797776552801614239443408970956650009060917142675557317944986004061386317350610828957638079915066349407775325083341572876126912512 binary64)) #s(approx (+ ( (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (.f64 #s(literal -1/2 binary64) y)) (if (<=.f64 x #s(literal 8558165470020299/55213970774324510299478046898216203619608871777363092441300193790394368 binary64)) #s(approx (+ x (/ (- ( y (/ y (+ y x))) (* x (/ x (+ y x)))) 2)) (.f64 #s(literal 1/2 binary64) y)) #s(approx (+ ( (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (*.f64 #s(literal 3/2 binary64) x)))))
(if (<=.f64 y #s(literal -800 binary64)) #s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (.f64 #s(literal -1/2 binary64) y)) (if (<=.f64 y #s(literal 4863877449037245/748288838313422294120286634350736906063837462003712 binary64)) #s(approx (+ x (/ (- ( y (/ y (+ y x))) (* x (/ x (+ y x)))) 2)) (.f64 #s(literal 1/2 binary64) x)) #s(approx (+ x (/ (- ( y (/ y (+ y x))) (* x (/ x (+ y x)))) 2)) (*.f64 #s(literal 1/2 binary64) y))))
(if (<=.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) #s(literal -3827252586451049/76545051729020975577310162521900618820659871603466655644272117978380005723696097587725184512638784526308634214455061267843403507870735540391292521535824647434568377082591826884769598224146796816367616 binary64)) #s(approx (+ x (/ (- (* y (/ y (+ y x))) (* x (/ x (+ y x)))) 2)) (.f64 #s(literal 1/2 binary64) x)) #s(approx (+ x (/ (- ( y (/ y (+ y x))) (* x (/ x (+ y x)))) 2)) (*.f64 #s(literal 1/2 binary64) y)))
#s(approx (+ x (/ (- (* y (/ y (+ y x))) (* x (/ x (+ y x)))) 2)) (*.f64 #s(literal 1/2 binary64) x))

Outputs
#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x))
#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x))
(if (<=.f64 x #s(literal -6014939493153283/546812681195752981093125556779405341338292357723303109106442651602488249799843980805878294255763456 binary64)) #s(approx (+ x (/ (- (* y (/ y (+ y x))) (* x (/ x (+ y x)))) 2)) (.f64 (+.f64 y x) #s(literal 1/2 binary64))) (if (<=.f64 x #s(literal 940000000000000046839045019402240 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x)) #s(approx (+ ( (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (*.f64 #s(literal 3/2 binary64) x))))
(if (<=.f64 x #s(literal -6014939493153283/546812681195752981093125556779405341338292357723303109106442651602488249799843980805878294255763456 binary64)) #s(approx (+ x (/ (- (* y (/ y (+ y x))) (* x (/ x (+ y x)))) 2)) (.f64 (+.f64 y x) #s(literal 1/2 binary64))) (if (<=.f64 x #s(literal 940000000000000046839045019402240 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))) #s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (*.f64 #s(literal 3/2 binary64) x))))
(if (<=.f64 x #s(literal -6014939493153283/546812681195752981093125556779405341338292357723303109106442651602488249799843980805878294255763456 binary64)) #s(approx (+ x (/ (- (* y (/ y (+ y x))) (* x (/ x (+ y x)))) 2)) (.f64 (+.f64 y x) #s(literal 1/2 binary64))) (if (<=.f64 x #s(literal 940000000000000046839045019402240 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))) #s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (*.f64 #s(literal 3/2 binary64) x))))
(if (<=.f64 y #s(literal -2568425733177917/5136851466355833503165029182500125649951503713694505722166289944403058744430742990345377476833582471901350555523611540735370539306820120960085756611964727392534398116336371677921546638558908903585247316148224 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 #s(approx (- x y) (neg.f64 y)) #s(literal 1/2 binary64) x)) #s(approx (+ x (/ (- (* y (/ y (+ y x))) (* x (/ x (+ y x)))) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal -6014939493153283/546812681195752981093125556779405341338292357723303109106442651602488249799843980805878294255763456 binary64)) #s(approx (+ x (/ (- (* y (/ y (+ y x))) (* x (/ x (+ y x)))) 2)) (.f64 #s(literal 1/2 binary64) x)) (if (<=.f64 x #s(literal 1049999999999999972720246784 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 #s(approx (- x y) (neg.f64 y)) #s(literal 1/2 binary64) x)) #s(approx (+ ( (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (*.f64 #s(literal 3/2 binary64) x))))
(if (<=.f64 x #s(literal -6014939493153283/546812681195752981093125556779405341338292357723303109106442651602488249799843980805878294255763456 binary64)) #s(approx (+ x (/ (- (* y (/ y (+ y x))) (* x (/ x (+ y x)))) 2)) (.f64 #s(literal 1/2 binary64) x)) (if (<=.f64 x #s(literal 1954587813565703/2124551971267068394758352826209874509318372470908127692797776552801614239443408970956650009060917142675557317944986004061386317350610828957638079915066349407775325083341572876126912512 binary64)) #s(approx (+ ( (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (.f64 #s(literal -1/2 binary64) y)) (if (<=.f64 x #s(literal 8558165470020299/55213970774324510299478046898216203619608871777363092441300193790394368 binary64)) #s(approx (+ x (/ (- ( y (/ y (+ y x))) (* x (/ x (+ y x)))) 2)) (.f64 #s(literal 1/2 binary64) y)) #s(approx (+ ( (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (*.f64 #s(literal 3/2 binary64) x)))))
(if (<=.f64 y #s(literal -800 binary64)) #s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (.f64 #s(literal -1/2 binary64) y)) (if (<=.f64 y #s(literal 4863877449037245/748288838313422294120286634350736906063837462003712 binary64)) #s(approx (+ x (/ (- ( y (/ y (+ y x))) (* x (/ x (+ y x)))) 2)) (.f64 #s(literal 1/2 binary64) x)) #s(approx (+ x (/ (- ( y (/ y (+ y x))) (* x (/ x (+ y x)))) 2)) (*.f64 #s(literal 1/2 binary64) y))))
(if (<=.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) #s(literal -3827252586451049/76545051729020975577310162521900618820659871603466655644272117978380005723696097587725184512638784526308634214455061267843403507870735540391292521535824647434568377082591826884769598224146796816367616 binary64)) #s(approx (+ x (/ (- (* y (/ y (+ y x))) (* x (/ x (+ y x)))) 2)) (.f64 #s(literal 1/2 binary64) x)) #s(approx (+ x (/ (- ( y (/ y (+ y x))) (* x (/ x (+ y x)))) 2)) (*.f64 #s(literal 1/2 binary64) y)))
#s(approx (+ x (/ (- (* y (/ y (+ y x))) (* x (/ x (+ y x)))) 2)) (*.f64 #s(literal 1/2 binary64) x))

derivations1.1s (18.6%)

Memory

-31.2MiB live, 915.4MiB allocated; 164ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	75
0	31	74
1	134	62
2	1057	59
0	8508	59
0	7	21
0	11	20
1	47	20
2	323	18
3	4001	18
0	8907	18
0	618	2386
1	2021	2228
2	7450	2216
0	8024	2122
0	43	84
1	127	84
2	346	84
3	968	84
4	2383	84
5	3739	84
6	6329	84
0	8023	80

Stop Event

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

Compiler

Compiled 518 to 82 computations (84.2% saved)

preprocess44.0ms (0.8%)

Memory: 37.4MiB live, 126.9MiB allocated; 11ms collecting garbage
Compiler: Compiled 1 052 to 178 computations (83.1% saved)

end0.0ms (0%)

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

Iter	Nodes	Cost
0	19	48
1	41	46
2	70	46
3	110	46
4	191	46
5	257	46
6	265	46
7	278	46
8	280	46
0	7	8
0	11	8
1	18	8
2	25	8
3	39	8
4	66	8
5	88	8
6	90	8
7	94	8
8	97	8
0	97	8

Iter	Nodes	Cost
0	19	48
1	41	46
2	70	46
3	110	46
4	191	46
5	257	46
6	265	46
7	278	46
8	280	46
0	7	8
0	11	8
1	18	8
2	25	8
3	39	8
4	66	8
5	88	8
6	90	8
7	94	8
8	97	8
0	97	8

start0.0ms (0%)

analyze0.0ms (0%)

sample1.2s (19.9%)

explain206.0ms (3.6%)

preprocess17.0ms (0.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify5.0ms (0.1%)

localize34.0ms (0.6%)

series4.0ms (0.1%)

simplify254.0ms (4.4%)

rewrite206.0ms (3.6%)

eval23.0ms (0.4%)

prune6.0ms (0.1%)

simplify184.0ms (3.2%)

localize119.0ms (2.1%)

series245.0ms (4.2%)

simplify215.0ms (3.7%)

rewrite129.0ms (2.2%)

eval96.0ms (1.7%)

prune11.0ms (0.2%)

simplify176.0ms (3%)

localize137.0ms (2.4%)

series18.0ms (0.3%)

simplify184.0ms (3.2%)

rewrite51.0ms (0.9%)

eval5.0ms (0.1%)

prune14.0ms (0.2%)

simplify114.0ms (2%)

localize82.0ms (1.4%)

series5.0ms (0.1%)

simplify222.0ms (3.8%)

rewrite169.0ms (2.9%)

eval41.0ms (0.7%)

prune6.0ms (0.1%)

regimes43.0ms (0.7%)

regimes35.0ms (0.6%)

regimes3.0ms (0.1%)

regimes10.0ms (0.2%)

regimes5.0ms (0.1%)

regimes2.0ms (0%)

regimes4.0ms (0.1%)

regimes7.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch71.0ms (1.2%)

bsearch122.0ms (2.1%)

bsearch8.0ms (0.1%)

bsearch37.0ms (0.6%)

bsearch35.0ms (0.6%)

bsearch34.0ms (0.6%)

bsearch0.0ms (0%)

simplify118.0ms (2%)

derivations1.1s (18.6%)

preprocess44.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	19	48
1	41	46
2	70	46
3	110	46
4	191	46
5	257	46
6	265	46
7	278	46
8	280	46
0	7	8
0	11	8
1	18	8
2	25	8
3	39	8
4	66	8
5	88	8
6	90	8
7	94	8
8	97	8
0	97	8