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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 10 to 9 computations (10% saved)

sample904.0ms (19.5%)

Memory

6.7MiB live, 842.8MiB allocated

Samples

484.0ms	7 942×	0	valid
58.0ms	142×	1	valid
14.0ms	82×	3	valid
11.0ms	90×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 273.0ms

ival-sub: 84.0ms (30.8% of total)

ival-fabs: 57.0ms (20.9% of total)

ival-add: 57.0ms (20.9% of total)

ival-div: 54.0ms (19.8% of total)

adjust: 8.0ms (2.9% of total)

ival-true: 5.0ms (1.8% of total)

exact: 4.0ms (1.5% of total)

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

Bogosity

explain130.0ms (2.8%)

Memory

0.0MiB live, 82.3MiB allocated

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

24.0ms	486×	0	valid
2.0ms	12×	2	valid
2.0ms	8×	3	valid
1.0ms	6×	1	valid

Compiler

Compiled 84 to 32 computations (61.9% saved)

Precisions

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

ival-div: 4.0ms (29.2% of total)

ival-sub: 3.0ms (21.9% of total)

ival-fabs: 3.0ms (21.9% of total)

ival-add: 3.0ms (21.9% of total)

adjust: 1.0ms (7.3% of total)

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

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

exact: 0.0ms (0% of total)

preprocess35.0ms (0.8%)

Memory

-20.9MiB live, 17.2MiB allocated

Algorithm

1×	egg-herbie

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
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.6MiB live, 0.5MiB allocated

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)

simplify4.0ms (0.1%)

Memory

3.4MiB live, 3.4MiB allocated

Algorithm

1×	egg-herbie

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)

localize19.0ms (0.4%)

Memory

21.3MiB live, 21.3MiB allocated

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	0.05859375	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))

Samples

12.0ms	243×	0	valid
1.0ms	6×	2	valid
1.0ms	4×	3	valid
0.0ms	3×	1	valid

Compiler

Compiled 50 to 16 computations (68% saved)

Precisions

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

ival-div: 2.0ms (29.8% of total)

ival-sub: 2.0ms (29.8% of total)

ival-fabs: 1.0ms (14.9% of total)

ival-add: 1.0ms (14.9% 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)

series4.0ms (0.1%)

Memory

4.0MiB live, 4.0MiB allocated

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))
1.0ms	x	@	0	((+ x (/ (fabs (- y x)) 2)) (/ (fabs (- y x)) 2) (fabs (- y x)) (- y x))

simplify135.0ms (2.9%)

Memory

0.0MiB live, 75.0MiB allocated

Algorithm

1×	egg-herbie

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)

rewrite162.0ms (3.5%)

Memory

4.0MiB live, 118.8MiB allocated

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))))

eval20.0ms (0.4%)

Memory: 8.2MiB live, 46.0MiB allocated
Compiler: Compiled 4 841 to 704 computations (85.5% saved)

prune24.0ms (0.5%)

Memory

-27.5MiB live, 23.0MiB allocated

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
	19.8%	(fma.f64 (.f64 x x) (/.f64 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 (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))))
▶	50.5%	(fma.f64 (sqrt.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64))) (sqrt.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64))) x)
▶	37.8%	(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (-.f64 y x) #s(literal -2 binary64)))
▶	30.8%	(+.f64 x (/.f64 (.f64 (fabs.f64 (+.f64 y x)) (-.f64 y x)) (.f64 (fabs.f64 (+.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))
▶	57.8%	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)))

Compiler

Compiled 236 to 122 computations (48.3% saved)

simplify80.0ms (1.7%)

Memory

-5.5MiB live, 108.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
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	(fabs.f64 (+.f64 y x))
cost-diff	0	(*.f64 (fabs.f64 (+.f64 y x)) (-.f64 y x))
cost-diff	1	(+.f64 x (/.f64 (.f64 (fabs.f64 (+.f64 y x)) (-.f64 y x)) (.f64 (fabs.f64 (+.f64 y x)) #s(literal -2 binary64))))
cost-diff	10	(/.f64 (.f64 (fabs.f64 (+.f64 y x)) (-.f64 y x)) (.f64 (fabs.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	27	177
0	45	207
1	80	159
2	193	147
3	508	147
4	1616	145
5	7798	145
0	8030	142

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

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

localize96.0ms (2.1%)

Memory

4.9MiB live, 160.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 (-.f64 y x) #s(literal -2 binary64))
accuracy	0.0	(-.f64 y x)
accuracy	0.00390625	(sqrt.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)))
accuracy	0.12890625	(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	0.109375	(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (-.f64 y x) #s(literal -2 binary64)))
accuracy	0.0	(*.f64 (fabs.f64 (+.f64 y x)) #s(literal -2 binary64))
accuracy	0.0	(fabs.f64 (+.f64 y x))
accuracy	0.05859375	(+.f64 x (/.f64 (.f64 (fabs.f64 (+.f64 y x)) (-.f64 y x)) (.f64 (fabs.f64 (+.f64 y x)) #s(literal -2 binary64))))
accuracy	11.409843109074114	(/.f64 (.f64 (fabs.f64 (+.f64 y x)) (-.f64 y x)) (.f64 (fabs.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	13.383364408251984	#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	0.05859375	(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)

Samples

37.0ms	159×	0	invalid
19.0ms	75×	0	valid
8.0ms	8×	2	valid
4.0ms	5×	3	valid
3.0ms	9×	1	valid

Compiler

Compiled 344 to 55 computations (84% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-add: 21.0ms (41.5% of total)

ival-div: 9.0ms (17.8% of total)

ival-mult: 7.0ms (13.8% of total)

ival-fabs: 4.0ms (7.9% of total)

ival-sqrt: 3.0ms (5.9% of total)

ival-sub: 3.0ms (5.9% of total)

adjust: 2.0ms (3.9% of total)

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

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

exact: 0.0ms (0% of total)

series35.0ms (0.7%)

Memory

-4.3MiB live, 41.1MiB allocated

Counts

17 → 98

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

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

Calls

6 calls:

Time	Variable		Point	Expression
18.0ms	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) (/ (* (fabs (+ y x)) (- y x)) (* (fabs (+ y x)) -2)) (+ x (/ (* (fabs (+ y x)) (- y x)) (* (fabs (+ y x)) -2))) (* (fabs (+ y x)) (- y x)) (fabs (+ y x)) (+ (* (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)) (* (fabs (+ y x)) -2))
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) (/ (* (fabs (+ y x)) (- y x)) (* (fabs (+ y x)) -2)) (+ x (/ (* (fabs (+ y x)) (- y x)) (* (fabs (+ y x)) -2))) (* (fabs (+ y x)) (- y x)) (fabs (+ y x)) (+ (* (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)) (* (fabs (+ y x)) -2))
3.0ms	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) (/ (* (fabs (+ y x)) (- y x)) (* (fabs (+ y x)) -2)) (+ x (/ (* (fabs (+ y x)) (- y x)) (* (fabs (+ y x)) -2))) (* (fabs (+ y x)) (- y x)) (fabs (+ y x)) (+ (* (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)) (* (fabs (+ y x)) -2))
3.0ms	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) (/ (* (fabs (+ y x)) (- y x)) (* (fabs (+ y x)) -2)) (+ x (/ (* (fabs (+ y x)) (- y x)) (* (fabs (+ y x)) -2))) (* (fabs (+ y x)) (- y x)) (fabs (+ y x)) (+ (* (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)) (* (fabs (+ y x)) -2))
3.0ms	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) (/ (* (fabs (+ y x)) (- y x)) (* (fabs (+ y x)) -2)) (+ x (/ (* (fabs (+ y x)) (- y x)) (* (fabs (+ y x)) -2))) (* (fabs (+ y x)) (- y x)) (fabs (+ y x)) (+ (* (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)) (* (fabs (+ y x)) -2))

simplify162.0ms (3.5%)

Memory

22.9MiB live, 215.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	346	1341
1	1138	1321
2	4466	1310
0	8210	1251

Stop Event

1×	iter limit
1×	node limit

Counts

98 → 96

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

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

rewrite64.0ms (1.4%)

Memory

19.9MiB live, 59.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	141
0	45	131
1	176	115
0	1432	114

Stop Event

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

Counts

17 → 231

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

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

eval132.0ms (2.8%)

Memory: -23.5MiB live, 141.8MiB allocated
Compiler: Compiled 11 031 to 1 286 computations (88.3% saved)

prune12.0ms (0.3%)

Memory

4.3MiB live, 41.4MiB allocated

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	464	5	469
Fresh	1	0	1
Picked	4	1	5
Done	0	0	0
Total	469	6	475

Accuracy

100.0%

Counts

475 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	34.1%	(+.f64 x #s(approx (/ (* (fabs (+ y x)) (- y x)) (* (fabs (+ y x)) -2)) (*.f64 #s(literal -1/2 binary64) y)))
▶	54.7%	#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)))
▶	30.0%	#s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (*.f64 #s(literal 3/2 binary64) x))
▶	26.6%	#s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (*.f64 #s(literal -1/2 binary64) y))
✓	99.9%	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x))
▶	54.7%	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64)))

Compiler

Compiled 214 to 136 computations (36.4% saved)

simplify135.0ms (2.9%)

Memory

21.2MiB live, 178.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
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	(*.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64)))
cost-diff	0	(*.f64 #s(literal -1/2 binary64) y)
cost-diff	0	#s(approx (/ (* (fabs (+ y x)) (- y x)) (* (fabs (+ y x)) -2)) (*.f64 #s(literal -1/2 binary64) y))
cost-diff	0	(+.f64 x #s(approx (/ (* (fabs (+ y x)) (- y x)) (* (fabs (+ y x)) -2)) (*.f64 #s(literal -1/2 binary64) y)))
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	(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: 0 (0.0ms)

Iter	Nodes	Cost
0	34	173
0	41	149
1	77	133
2	155	129
3	300	129
4	724	129
5	2902	129
0	8847	125

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

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

localize101.0ms (2.2%)

Memory

-26.3MiB live, 180.4MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.0	(neg.f64 y)
accuracy	0.0	(fabs.f64 #s(approx (- x y) (neg.f64 y)))
accuracy	13.73024868294798	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64)))
accuracy	16.0800953442332	#s(approx (- x y) (neg.f64 y))
accuracy	0.0	(*.f64 #s(literal -1/2 binary64) y)
accuracy	0.05859375	(+.f64 x #s(approx (/ (* (fabs (+ y x)) (- y x)) (* (fabs (+ y x)) -2)) (*.f64 #s(literal -1/2 binary64) y)))
accuracy	16.07986565122843	#s(approx (/ (* (fabs (+ y x)) (- y x)) (* (fabs (+ y x)) -2)) (*.f64 #s(literal -1/2 binary64) y))
accuracy	0.0	(*.f64 #s(literal 3/2 binary64) x)
accuracy	16.14093320094971	#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	16.102195823028048	#s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (*.f64 #s(literal -1/2 binary64) y))
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

50.0ms	126×	0	invalid
18.0ms	108×	0	valid
4.0ms	8×	2	valid
3.0ms	5×	3	valid
3.0ms	9×	1	valid

Compiler

Compiled 307 to 64 computations (79.2% saved)

Precisions

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

ival-fabs: 19.0ms (31.6% of total)

ival-div: 18.0ms (29.9% of total)

ival-mult: 9.0ms (15% of total)

ival-add: 6.0ms (10% of total)

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

ival-sqrt: 2.0ms (3.3% of total)

adjust: 2.0ms (3.3% of total)

exact: 1.0ms (1.7% of total)

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

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

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

series8.0ms (0.2%)

Memory

15.1MiB live, 15.1MiB allocated

Counts

13 → 47

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

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))
(* 3/2 x)
(+ (* -1/2 y) (* 1/2 x))
(* 1/2 (fabs (- y x)))
(+ x (* 1/2 (fabs (- y x))))
(* 1/2 (fabs (- x y)))
(fabs (- x y))
(* -1 y)
(- x y)
(* 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))))
(* 1/2 x)
(* x (+ 1/2 (* -1/2 (/ y x))))
x
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
(* 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 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))
(* 1/2 (fabs (neg (+ y (* -1 x)))))
(fabs (neg (+ y (* -1 x))))
(* -1 (* x (- (/ y x) 1)))
(+ 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 y) (* 1/2 x)))
(+ x (* -1 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 (/ x y)) (/ x y)) 1/2))
(* y (- (* 1/2 (/ x y)) 1/2))
(* 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 (* y (+ 1/2 (* -3/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))
(* 1/2 (fabs (+ x (* -1 y))))
(fabs (+ x (* -1 y)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))

Calls

6 calls:

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

simplify185.0ms (4%)

Memory

-19.3MiB live, 142.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	134	414
1	421	239
2	1419	239
3	4082	239
4	7250	239
0	8697	221

Stop Event

1×	iter limit
1×	node limit

Counts

47 → 46

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))
(* 3/2 x)
(+ (* -1/2 y) (* 1/2 x))
(* 1/2 (fabs (- y x)))
(+ x (* 1/2 (fabs (- y x))))
(* 1/2 (fabs (- x y)))
(fabs (- x y))
(* -1 y)
(- x y)
(* 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))))
(* 1/2 x)
(* x (+ 1/2 (* -1/2 (/ y x))))
x
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
(* 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 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))
(* 1/2 (fabs (neg (+ y (* -1 x)))))
(fabs (neg (+ y (* -1 x))))
(* -1 (* x (- (/ y x) 1)))
(+ 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 y) (* 1/2 x)))
(+ x (* -1 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 (/ x y)) (/ x y)) 1/2))
(* y (- (* 1/2 (/ x y)) 1/2))
(* 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 (* y (+ 1/2 (* -3/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))
(* 1/2 (fabs (+ x (* -1 y))))
(fabs (+ x (* -1 y)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))

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

rewrite64.0ms (1.4%)

Memory

23.2MiB live, 61.4MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	154
0	41	130
1	164	114
0	1146	114

Stop Event

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

Counts

13 → 49

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

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

eval33.0ms (0.7%)

Memory: -14.6MiB live, 22.8MiB allocated
Compiler: Compiled 1 975 to 216 computations (89.1% saved)

prune5.0ms (0.1%)

Memory

12.6MiB live, 12.6MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	65	1	66
Fresh	0	0	0
Picked	0	5	5
Done	0	1	1
Total	65	7	72

Accuracy

100.0%

Counts

72 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	34.1%	(+.f64 x #s(approx (/ (* (fabs (+ y x)) (- y x)) (* (fabs (+ y x)) -2)) (*.f64 #s(literal -1/2 binary64) y)))
▶	54.6%	#s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x))
✓	54.7%	#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)))
✓	30.0%	#s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (*.f64 #s(literal 3/2 binary64) x))
✓	26.6%	#s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (*.f64 #s(literal -1/2 binary64) y))
✓	99.9%	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x))
✓	54.7%	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64)))

Compiler

Compiled 137 to 86 computations (37.2% saved)

simplify9.0ms (0.2%)

Memory

-24.5MiB live, 11.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	34
0	15	26
1	26	26
2	53	26
3	77	26
4	92	26
5	101	26
6	107	26
7	108	26
8	110	26
9	111	26
10	113	26
11	114	26
12	116	26
0	116	26

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize42.0ms (0.9%)

Memory

-2.7MiB live, 78.7MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 y x)
accuracy	0.0	#s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x))
accuracy	0.05859375	(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)

Samples

18.0ms	126×	0	invalid
7.0ms	108×	0	valid
2.0ms	8×	2	valid
1.0ms	5×	3	valid
1.0ms	9×	1	valid

Compiler

Compiled 64 to 25 computations (60.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-add: 12.0ms (54.2% of total)

ival-mult: 3.0ms (13.6% of total)

ival-sqrt: 2.0ms (9% of total)

ival-div: 2.0ms (9% of total)

ival-sub: 2.0ms (9% of total)

adjust: 1.0ms (4.5% of total)

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

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

exact: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory

12.7MiB live, 12.7MiB allocated

Counts

3 → 28

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	((+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (+ (* (- y x) -1/2) x) (- y x))
0.0ms	x	@	inf	((+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (+ (* (- y x) -1/2) x) (- y x))
0.0ms	x	@	-inf	((+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (+ (* (- y x) -1/2) x) (- y x))
0.0ms	y	@	inf	((+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (+ (* (- y x) -1/2) x) (- y x))
0.0ms	x	@	0	((+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (+ (* (- y x) -1/2) x) (- y x))

simplify125.0ms (2.7%)

Memory

19.3MiB live, 139.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	276
1	287	129
2	1035	129
3	2753	129
4	5754	129
0	8086	117

Stop Event

1×	iter limit
1×	node limit

Counts

28 → 27

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

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

rewrite55.0ms (1.2%)

Memory

-11.9MiB live, 62.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	31
0	15	23
1	70	23
0	540	23

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

3 → 22

Calls

Call 1

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

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

eval3.0ms (0.1%)

Memory: 7.8MiB live, 7.8MiB allocated
Compiler: Compiled 932 to 123 computations (86.8% saved)

prune5.0ms (0.1%)

Memory

12.7MiB live, 12.7MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	30	0	30
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	30	7	37

Accuracy

100.0%

Counts

37 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	34.1%	(+.f64 x #s(approx (/ (* (fabs (+ y x)) (- y x)) (* (fabs (+ y x)) -2)) (*.f64 #s(literal -1/2 binary64) y)))
✓	54.6%	#s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x))
✓	54.7%	#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)))
✓	30.0%	#s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (*.f64 #s(literal 3/2 binary64) x))
✓	26.6%	#s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (*.f64 #s(literal -1/2 binary64) y))
✓	99.9%	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x))
✓	54.7%	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64)))

Compiler

Compiled 384 to 153 computations (60.2% saved)

regimes17.0ms (0.4%)

Memory

-3.4MiB live, 33.3MiB allocated

Counts

13 → 1

Calls

Call 1

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

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

Calls

3 calls:

8.0ms	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
4.0ms	y
4.0ms	x

Results

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

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes15.0ms (0.3%)

Memory

-24.8MiB live, 22.8MiB allocated

Counts

6 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

5.0ms	y
3.0ms	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
3.0ms	x

Results

Accuracy	Segments	Branch
71.8%	2	`x`
75.2%	2	`y`
61.6%	2	`(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes3.0ms (0.1%)

Memory

4.3MiB live, 4.3MiB allocated

Counts

5 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
74.6%	2	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes4.0ms (0.1%)

Memory

7.6MiB live, 7.6MiB allocated

Counts

4 → 3

Calls

Call 1

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

Outputs

(+.f64 x #s(approx (/ (* (fabs (+ y x)) (- y x)) (* (fabs (+ 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))

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

Calls

2 calls:

2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
66.2%	2	`x`
69.5%	3	`y`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes38.0ms (0.8%)

Memory

-21.6MiB live, 17.2MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

Outputs

(+.f64 x #s(approx (/ (* (fabs (+ y x)) (- y x)) (* (fabs (+ 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

3 calls:

34.0ms	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
38.8%	3	`(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))`
47.2%	2	`x`
50.0%	2	`y`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes2.0ms (0%)

Memory

4.9MiB live, 4.9MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
#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 (+ (* (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))

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
48.7%	2	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes4.0ms (0.1%)

Memory

11.1MiB live, 11.1MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#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))

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
26.6%	1	`(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))`
26.6%	1	`x`
26.6%	1	`y`

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch13.0ms (0.3%)

Memory

15.9MiB live, 15.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	2.42902752148586e-78	8.018413754456696e-75

Samples

5.0ms	119×	0	valid
1.0ms	5×	2	valid
0.0ms	4×	1	valid

Compiler

Compiled 307 to 220 computations (28.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-div: 1.0ms (29.4% of total)

ival-sub: 1.0ms (29.4% of total)

ival-add: 1.0ms (29.4% of total)

ival-fabs: 1.0ms (29.4% 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)

bsearch3.0ms (0.1%)

Memory

4.1MiB live, 4.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
2.0ms	2.42902752148586e-78	8.018413754456696e-75

Samples

1.0ms	15×	0	valid
0.0ms	1×	2	valid

Compiler

Compiled 331 to 236 computations (28.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

adjust: 0.0ms (0% of total)

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

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

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

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

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

exact: 0.0ms (0% of total)

bsearch16.0ms (0.4%)

Memory

-4.8MiB live, 33.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.42902752148586e-78	8.018413754456696e-75
14.0ms	-2.2688732595385928e-155	-6.946353318089201e-158

Samples

9.0ms	126×	0	valid
0.0ms	2×	2	valid

Compiler

Compiled 627 to 436 computations (30.5% saved)

Precisions

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

ival-fabs: 4.0ms (65.9% of total)

ival-div: 1.0ms (16.5% of total)

ival-sub: 1.0ms (16.5% of total)

ival-add: 1.0ms (16.5% 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)

bsearch1.0ms (0%)

Memory

3.1MiB live, 3.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-2.2688732595385928e-155	-6.946353318089201e-158

Compiler

Compiled 331 to 220 computations (33.5% saved)

bsearch1.0ms (0%)

Memory

2.9MiB live, 2.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-2.2688732595385928e-155	-6.946353318089201e-158

Compiler

Compiled 315 to 204 computations (35.2% saved)

simplify105.0ms (2.3%)

Memory

-43.7MiB live, 59.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	53	216
1	92	200
2	173	196
3	332	196
4	871	196
5	4187	196

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 y #s(literal 7822218149124427/521481209941628438084722096232800809229175908778479680162851955034721612739414196782949728256 binary64)) #s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)) #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))))
(if (<=.f64 y #s(literal 8343699359066055/521481209941628438084722096232800809229175908778479680162851955034721612739414196782949728256 binary64)) #s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)) #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64))))
(if (<=.f64 y #s(literal -8695209426788831/483067190377157293086918986366498418037365916213304374832154406431439892786195053067024220822740322245307952003937772147170634832630373456967863584183385093587122601852928 binary64)) (+.f64 x #s(approx (/ (* (fabs (+ y x)) (- y x)) (* (fabs (+ y x)) -2)) (.f64 #s(literal -1/2 binary64) y))) (if (<=.f64 y #s(literal 8343699359066055/521481209941628438084722096232800809229175908778479680162851955034721612739414196782949728256 binary64)) #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)) (.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64)))))
(if (<=.f64 y #s(literal -8695209426788831/483067190377157293086918986366498418037365916213304374832154406431439892786195053067024220822740322245307952003937772147170634832630373456967863584183385093587122601852928 binary64)) (+.f64 x #s(approx (/ (* (fabs (+ y x)) (- y x)) (* (fabs (+ 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 -8695209426788831/483067190377157293086918986366498418037365916213304374832154406431439892786195053067024220822740322245307952003937772147170634832630373456967863584183385093587122601852928 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)))
#s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (*.f64 #s(literal -1/2 binary64) y))

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 y #s(literal 7822218149124427/521481209941628438084722096232800809229175908778479680162851955034721612739414196782949728256 binary64)) #s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)) #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))))
(if (<=.f64 y #s(literal 7822218149124427/521481209941628438084722096232800809229175908778479680162851955034721612739414196782949728256 binary64)) #s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)) #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))))
(if (<=.f64 y #s(literal 8343699359066055/521481209941628438084722096232800809229175908778479680162851955034721612739414196782949728256 binary64)) #s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)) #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64))))
(if (<=.f64 y #s(literal -8695209426788831/483067190377157293086918986366498418037365916213304374832154406431439892786195053067024220822740322245307952003937772147170634832630373456967863584183385093587122601852928 binary64)) (+.f64 x #s(approx (/ (* (fabs (+ y x)) (- y x)) (* (fabs (+ y x)) -2)) (.f64 #s(literal -1/2 binary64) y))) (if (<=.f64 y #s(literal 8343699359066055/521481209941628438084722096232800809229175908778479680162851955034721612739414196782949728256 binary64)) #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)) (.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64)))))
(if (<=.f64 y #s(literal -8695209426788831/483067190377157293086918986366498418037365916213304374832154406431439892786195053067024220822740322245307952003937772147170634832630373456967863584183385093587122601852928 binary64)) (+.f64 x #s(approx (/ (* (fabs (+ y x)) (- y x)) (* (fabs (+ 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 -8695209426788831/483067190377157293086918986366498418037365916213304374832154406431439892786195053067024220822740322245307952003937772147170634832630373456967863584183385093587122601852928 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)))
#s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (*.f64 #s(literal -1/2 binary64) y))

soundness1.4s (29.6%)

Memory

16.2MiB live, 599.4MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	134	414
1	421	239
2	1419	239
3	4082	239
4	7250	239
0	8697	221
0	43	84
1	127	84
2	346	84
3	968	84
4	2383	84
5	3739	84
6	6329	84
0	8023	80
0	7	21
0	11	20
1	47	20
2	323	18
3	4001	18
0	8907	18
0	346	1341
1	1138	1321
2	4466	1310
0	8210	1251

Stop Event

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

Compiler

Compiled 390 to 175 computations (55.1% saved)

preprocess248.0ms (5.4%)

Memory: -23.5MiB live, 69.8MiB allocated
Compiler: Compiled 560 to 118 computations (78.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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	12	34
0	15	26
1	26	26
2	53	26
3	77	26
4	92	26
5	101	26
6	107	26
7	108	26
8	110	26
9	111	26
10	113	26
11	114	26
12	116	26
0	116	26

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	12	34
0	15	26
1	26	26
2	53	26
3	77	26
4	92	26
5	101	26
6	107	26
7	108	26
8	110	26
9	111	26
10	113	26
11	114	26
12	116	26
0	116	26

start0.0ms (0%)

analyze0.0ms (0%)

sample904.0ms (19.5%)

explain130.0ms (2.8%)

preprocess35.0ms (0.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0.1%)

localize19.0ms (0.4%)

series4.0ms (0.1%)

simplify135.0ms (2.9%)

rewrite162.0ms (3.5%)

eval20.0ms (0.4%)

prune24.0ms (0.5%)

simplify80.0ms (1.7%)

localize96.0ms (2.1%)

series35.0ms (0.7%)

simplify162.0ms (3.5%)

rewrite64.0ms (1.4%)

eval132.0ms (2.8%)

prune12.0ms (0.3%)

simplify135.0ms (2.9%)

localize101.0ms (2.2%)

series8.0ms (0.2%)

simplify185.0ms (4%)

rewrite64.0ms (1.4%)

eval33.0ms (0.7%)

prune5.0ms (0.1%)

simplify9.0ms (0.2%)

localize42.0ms (0.9%)

series3.0ms (0.1%)

simplify125.0ms (2.7%)

rewrite55.0ms (1.2%)

eval3.0ms (0.1%)

prune5.0ms (0.1%)

regimes17.0ms (0.4%)

regimes15.0ms (0.3%)

regimes3.0ms (0.1%)

regimes4.0ms (0.1%)

regimes38.0ms (0.8%)

regimes2.0ms (0%)

regimes4.0ms (0.1%)

bsearch13.0ms (0.3%)

bsearch3.0ms (0.1%)

bsearch16.0ms (0.4%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify105.0ms (2.3%)

soundness1.4s (29.6%)

preprocess248.0ms (5.4%)

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

Iter	Nodes	Cost
0	12	34
0	15	26
1	26	26
2	53	26
3	77	26
4	92	26
5	101	26
6	107	26
7	108	26
8	110	26
9	111	26
10	113	26
11	114	26
12	116	26
0	116	26