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

0.5MiB live, 0.5MiB 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)

sample1.1s (19.6%)

Memory

23.5MiB live, 962.4MiB allocated

Samples

730.0ms	7 927×	0	valid
79.0ms	79×	3	valid
16.0ms	145×	1	valid
15.0ms	105×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 499.0ms

ival-div: 298.0ms (59.7% of total)

ival-sub: 84.0ms (16.8% of total)

ival-fabs: 50.0ms (10% of total)

ival-add: 43.0ms (8.6% of total)

adjust: 10.0ms (2% of total)

ival-true: 6.0ms (1.2% of total)

exact: 5.0ms (1% of total)

ival-assert: 4.0ms (0.8% of total)

Bogosity

explain110.0ms (1.9%)

Memory

19.0MiB live, 76.9MiB 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

67.0ms	496×	0	valid
1.0ms	6×	2	valid
1.0ms	4×	3	valid
1.0ms	6×	1	valid

Compiler

Compiled 60 to 25 computations (58.3% saved)

Precisions

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

ival-fabs: 44.0ms (79.4% of total)

ival-div: 4.0ms (7.2% of total)

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

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

adjust: 1.0ms (1.8% of total)

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

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

exact: 0.0ms (0% of total)

preprocess32.0ms (0.5%)

Memory

-29.0MiB live, 16.3MiB 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

0.5MiB 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)

simplify5.0ms (0.1%)

Memory

3.7MiB live, 3.7MiB 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 (0.3%)

Memory

18.7MiB live, 18.7MiB 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	0.0546875	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))

Samples

13.0ms	248×	0	valid
0.0ms	3×	2	valid
0.0ms	2×	3	valid
0.0ms	3×	1	valid

Compiler

Compiled 26 to 9 computations (65.4% saved)

Precisions

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

ival-div: 2.0ms (29.1% of total)

ival-sub: 2.0ms (29.1% of total)

ival-fabs: 1.0ms (14.5% of total)

ival-add: 1.0ms (14.5% 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)

series4.0ms (0.1%)

Memory

3.7MiB live, 3.7MiB 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	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	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	@	0	((+ x (/ (fabs (- y x)) 2)) (/ (fabs (- y x)) 2) (fabs (- y x)) (- y x))

simplify161.0ms (2.8%)

Memory

-11.5MiB live, 76.4MiB 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)

rewrite212.0ms (3.6%)

Memory

5.9MiB live, 199.0MiB 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))))

eval57.0ms (1%)

Memory: 8.9MiB live, 61.0MiB allocated
Compiler: Compiled 4 841 to 704 computations (85.5% saved)

prune36.0ms (0.6%)

Memory

-29.0MiB live, 17.5MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	176	8	184
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	177	8	185

Accuracy

100.0%

Counts

185 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	20.4%	(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))))
	47.8%	(fma.f64 (sqrt.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64))) (sqrt.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64))) x)
	51.6%	(fma.f64 (sqrt.f64 (-.f64 y x)) (/.f64 (sqrt.f64 (-.f64 y x)) #s(literal 2 binary64)) x)
▶	37.9%	(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (-.f64 y x) #s(literal -2 binary64)))
	56.5%	(+.f64 x (/.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 y x) (+.f64 y x))) #s(literal 2 binary64)))
▶	51.6%	(+.f64 x (/.f64 (*.f64 (sqrt.f64 (-.f64 y x)) (sqrt.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))
▶	54.4%	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)))

Compiler

Compiled 282 to 150 computations (46.8% saved)

simplify154.0ms (2.6%)

Memory

17.1MiB live, 171.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x) (/.f64 (-.f64 y x) #s(literal -2 binary64)) (*.f64 x x))
cost-diff	0	(/.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)))
cost-diff	0	(*.f64 x x)
cost-diff	18	(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))))
cost-diff	0	(sqrt.f64 (-.f64 y x))
cost-diff	0	(/.f64 (*.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (-.f64 y x))) #s(literal 2 binary64))
cost-diff	0	(+.f64 x (/.f64 (*.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (-.f64 y x))) #s(literal 2 binary64)))
cost-diff	6	(*.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (-.f64 y x)))
cost-diff	0	(-.f64 y x)
cost-diff	0	(/.f64 (-.f64 y x) #s(literal -2 binary64))
cost-diff	0	(sqrt.f64 x)
cost-diff	3	(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (-.f64 y x) #s(literal -2 binary64)))
cost-diff	0	(-.f64 x y)
cost-diff	0	(*.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	1	(fabs.f64 (-.f64 x y))
cost-diff	0	(-.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))
cost-diff	1	(fabs.f64 (-.f64 x y))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	263
0	53	246
1	104	218
2	309	216
3	1219	216
4	3827	216
0	8300	216

Stop Event

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

Calls

Call 1

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

localize127.0ms (2.2%)

Memory

-17.7MiB live, 218.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.9567539827897061	(/.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)))
accuracy	0.9995791785010816	(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))))
accuracy	8.410655485829704	(/.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)))
accuracy	0.0	(-.f64 y x)
accuracy	0.0	(+.f64 x (/.f64 (*.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (-.f64 y x))) #s(literal 2 binary64)))
accuracy	0.0	(sqrt.f64 (-.f64 y x))
accuracy	0.07421875	(*.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (-.f64 y x)))
accuracy	0.0	(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (-.f64 y x) #s(literal -2 binary64)))
accuracy	0.0	(/.f64 (-.f64 y x) #s(literal -2 binary64))
accuracy	0.0	(-.f64 y x)
accuracy	0.0	(sqrt.f64 x)
accuracy	0.0	(-.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	0.0	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)))
accuracy	0.0	(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
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))

Samples

70.0ms	213×	0	invalid
30.0ms	43×	0	valid

Compiler

Compiled 258 to 33 computations (87.2% saved)

Precisions

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

ival-div: 18.0ms (30.2% of total)

ival-add: 18.0ms (30.2% of total)

ival-mult: 9.0ms (15.1% of total)

ival-sub: 4.0ms (6.7% of total)

ival-pow: 4.0ms (6.7% of total)

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

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

exact: 1.0ms (1.7% of total)

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

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

series84.0ms (1.4%)

Memory

29.4MiB live, 122.1MiB allocated

Counts

19 → 151

Calls

Call 1

Inputs
(fabs.f64 (-.f64 x y))
#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)
(-.f64 x y)
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)))
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (-.f64 y x) #s(literal -2 binary64)))
(sqrt.f64 x)
(/.f64 (-.f64 y x) #s(literal -2 binary64))
(-.f64 y x)
(*.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (-.f64 y x)))
(+.f64 x (/.f64 (*.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (-.f64 y x))) #s(literal 2 binary64)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (-.f64 y x))) #s(literal 2 binary64))
(sqrt.f64 (-.f64 y 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))))
(*.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)))
(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
(fabs (- x y))
(* 1/2 (fabs (- y x)))
(+ x (* 1/2 (fabs (- y x))))
(* 1/2 (fabs (- x y)))
(+ x (* 1/2 (fabs (- x y))))
(* -1 y)
(- x y)
(* -1/2 y)
(+ (* -1/2 y) (* 3/2 x))
(sqrt x)
(+ (* -1/2 y) (* 1/2 x))
y
(+ y (* -1 x))
(* 1/2 y)
(+ (* 1/2 x) (* 1/2 y))
(+ (* -1/2 x) (* 1/2 y))
(sqrt y)
(+ (sqrt y) (* -1/2 (* x (sqrt (/ 1 y)))))
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* -1/8 (* x (sqrt (/ 1 (pow y 3))))))))
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* x (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* -1/16 (* x (sqrt (/ 1 (pow y 5))))))))))
(+ (* -1/2 y) (* -1/8 (* x (- (* 4 (/ (+ (* -2 (pow y 2)) (* -1 (pow y 2))) (pow y 2))) (* -8 (/ (+ (* -1/2 y) (* 1/2 y)) y))))))
(+ (* -1/2 y) (* x (+ (* -1/8 (* x (- (* 4 (/ (+ y (* 2 y)) (pow y 2))) (+ (* -2 (/ (* (+ (* -1/2 y) (* 1/2 y)) (- (* 4 (/ (+ (* -2 (pow y 2)) (* -1 (pow y 2))) (pow y 2))) (* -8 (/ (+ (* -1/2 y) (* 1/2 y)) y)))) (pow y 2))) (* 12 (/ 1 y)))))) (* -1/8 (- (* 4 (/ (+ (* -2 (pow y 2)) (* -1 (pow y 2))) (pow y 2))) (* -8 (/ (+ (* -1/2 y) (* 1/2 y)) y)))))))
(+ (* -1/2 y) (* x (+ (* -1/8 (- (* 4 (/ (+ (* -2 (pow y 2)) (* -1 (pow y 2))) (pow y 2))) (* -8 (/ (+ (* -1/2 y) (* 1/2 y)) y)))) (* x (+ (* -1/8 (- (* 4 (/ (+ y (* 2 y)) (pow y 2))) (+ (* -2 (/ (* (+ (* -1/2 y) (* 1/2 y)) (- (* 4 (/ (+ (* -2 (pow y 2)) (* -1 (pow y 2))) (pow y 2))) (* -8 (/ (+ (* -1/2 y) (* 1/2 y)) y)))) (pow y 2))) (* 12 (/ 1 y))))) (* x (+ (* 1/8 (+ (* -2 (/ (* (+ (* -1/2 y) (* 1/2 y)) (- (* 4 (/ (+ y (* 2 y)) (pow y 2))) (+ (* -2 (/ (* (+ (* -1/2 y) (* 1/2 y)) (- (* 4 (/ (+ (* -2 (pow y 2)) (* -1 (pow y 2))) (pow y 2))) (* -8 (/ (+ (* -1/2 y) (* 1/2 y)) y)))) (pow y 2))) (* 12 (/ 1 y))))) (pow y 2))) (+ (* 3 (/ (- (* 4 (/ (+ (* -2 (pow y 2)) (* -1 (pow y 2))) (pow y 2))) (* -8 (/ (+ (* -1/2 y) (* 1/2 y)) y))) (pow y 2))) (* 4 (/ 1 (pow y 2)))))) (* 4 (/ 1 (pow y 2))))))))))
(pow x 2)
(* 4 (/ x (pow y 2)))
(* x (+ (* 8 (/ (* x (+ (* -1/2 y) (* 1/2 y))) (pow y 4))) (* 4 (/ 1 (pow y 2)))))
(* x (+ (* x (- (* -1 (* x (+ (* -16 (/ (pow (+ (* -1/2 y) (* 1/2 y)) 2) (pow y 6))) (* 12 (/ 1 (pow y 4)))))) (* -8 (/ (+ (* -1/2 y) (* 1/2 y)) (pow y 4))))) (* 4 (/ 1 (pow y 2)))))
(* x (+ (* x (- (* x (- (* -1 (* x (+ (* 2 (/ (* (+ (* -16 (/ (pow (+ (* -1/2 y) (* 1/2 y)) 2) (pow y 6))) (* 12 (/ 1 (pow y 4)))) (+ (* -1/2 y) (* 1/2 y))) (pow y 2))) (* 24 (/ (+ (* -1/2 y) (* 1/2 y)) (pow y 6)))))) (+ (* -16 (/ (pow (+ (* -1/2 y) (* 1/2 y)) 2) (pow y 6))) (* 12 (/ 1 (pow y 4)))))) (* -8 (/ (+ (* -1/2 y) (* 1/2 y)) (pow y 4))))) (* 4 (/ 1 (pow y 2)))))
(* 1/4 (pow y 2))
(+ (* -1/2 (* x (+ (* -1/2 y) (* 1/2 y)))) (* 1/4 (pow y 2)))
(+ (* 1/4 (pow y 2)) (* x (+ (* -1/2 (+ (* -1/2 y) (* 1/2 y))) (* 3/4 x))))
(+ (* -1/2 y) (* x (+ (* -1/8 (- (* 4 (/ (+ (* -2 (pow y 2)) (* -1 (pow y 2))) (pow y 2))) (* -8 (/ (+ (* -1/2 y) (* 1/2 y)) y)))) (* x (+ (* -1/8 (- (* 4 (/ (+ y (* 2 y)) (pow y 2))) (+ (* -2 (/ (* (+ (* -1/2 y) (* 1/2 y)) (- (* 4 (/ (+ (* -2 (pow y 2)) (* -1 (pow y 2))) (pow y 2))) (* -8 (/ (+ (* -1/2 y) (* 1/2 y)) y)))) (pow y 2))) (* 12 (/ 1 y))))) (* 1/8 (* x (+ (* -2 (/ (* (+ (* -1/2 y) (* 1/2 y)) (- (* 4 (/ (+ y (* 2 y)) (pow y 2))) (+ (* -2 (/ (* (+ (* -1/2 y) (* 1/2 y)) (- (* 4 (/ (+ (* -2 (pow y 2)) (* -1 (pow y 2))) (pow y 2))) (* -8 (/ (+ (* -1/2 y) (* 1/2 y)) y)))) (pow y 2))) (* 12 (/ 1 y))))) (pow y 2))) (+ (* 3 (/ (- (* 4 (/ (+ (* -2 (pow y 2)) (* -1 (pow y 2))) (pow y 2))) (* -8 (/ (+ (* -1/2 y) (* 1/2 y)) y))) (pow y 2))) (* 4 (/ 1 (pow y 2))))))))))))
x
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x))))
(* x (+ 1 (* -1 (/ y x))))
(* 3/2 x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(* 1/2 x)
(* x (+ 1/2 (* -1/2 (/ y x))))
(* -1 x)
(* x (- (/ y x) 1))
(* x (+ 1/2 (* 1/2 (/ y x))))
(* -1/2 x)
(* x (- (* 1/2 (/ y x)) 1/2))
(* (sqrt x) (sqrt -1))
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow y 3) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* x (- (+ 3/2 (* -1/8 (/ (- (* 4/3 (+ y (* 2 y))) (* 8/9 (+ (* -1/2 y) (* 1/2 y)))) x))) (* -8/9 (/ (+ (* -1/2 y) (* 1/2 y)) x))))
(* x (- (+ 3/2 (+ (* -1/8 (/ (- (* 4/3 (+ y (* 2 y))) (* 8/9 (+ (* -1/2 y) (* 1/2 y)))) x)) (* -1/8 (/ (- (* 4/3 (+ (* -2 (pow y 2)) (* -1 (pow y 2)))) (+ (* -2/3 (* (+ (* -1/2 y) (* 1/2 y)) (- (* 4/3 (+ y (* 2 y))) (* 8/9 (+ (* -1/2 y) (* 1/2 y)))))) (* -4/9 (pow y 2)))) (pow x 2))))) (+ (* -8/9 (/ (+ (* -1/2 y) (* 1/2 y)) x)) (+ (* -16/27 (/ (pow (+ (* -1/2 y) (* 1/2 y)) 2) (pow x 2))) (* 4/9 (/ (pow y 2) (pow x 2)))))))
(* x (- (+ 3/2 (+ (* -1/8 (/ (- (* 4/3 (+ y (* 2 y))) (* 8/9 (+ (* -1/2 y) (* 1/2 y)))) x)) (+ (* -1/8 (/ (- (* 4/3 (+ (* -2 (pow y 2)) (* -1 (pow y 2)))) (+ (* -2/3 (* (+ (* -1/2 y) (* 1/2 y)) (- (* 4/3 (+ y (* 2 y))) (* 8/9 (+ (* -1/2 y) (* 1/2 y)))))) (* -4/9 (pow y 2)))) (pow x 2))) (* -1/8 (/ (- (* 4/3 (pow y 3)) (+ (* -2/3 (* (+ (* -1/2 y) (* 1/2 y)) (- (* 4/3 (+ (* -2 (pow y 2)) (* -1 (pow y 2)))) (+ (* -2/3 (* (+ (* -1/2 y) (* 1/2 y)) (- (* 4/3 (+ y (* 2 y))) (* 8/9 (+ (* -1/2 y) (* 1/2 y)))))) (* -4/9 (pow y 2)))))) (* 1/3 (* (pow y 2) (- (* 4/3 (+ y (* 2 y))) (* 8/9 (+ (* -1/2 y) (* 1/2 y)))))))) (pow x 3)))))) (+ (* -8/9 (/ (+ (* -1/2 y) (* 1/2 y)) x)) (+ (* -16/27 (/ (pow (+ (* -1/2 y) (* 1/2 y)) 2) (pow x 2))) (+ (* 8/27 (/ (* (pow y 2) (+ (* -1/2 y) (* 1/2 y))) (pow x 3))) (+ (* 4/9 (/ (pow y 2) (pow x 2))) (* 2/3 (/ (* (+ (* -16/27 (pow (+ (* -1/2 y) (* 1/2 y)) 2)) (* 4/9 (pow y 2))) (+ (* -1/2 y) (* 1/2 y))) (pow x 3)))))))))
(/ 4/3 x)
(/ (+ 4/3 (* 8/9 (/ (+ (* -1/2 y) (* 1/2 y)) x))) x)
(/ (- (+ 4/3 (* -1 (/ (+ (* -16/27 (pow (+ (* -1/2 y) (* 1/2 y)) 2)) (* 4/9 (pow y 2))) (pow x 2)))) (* -8/9 (/ (+ (* -1/2 y) (* 1/2 y)) x))) x)
(/ (- (+ 4/3 (* -1 (/ (+ (* 8/27 (* (pow y 2) (+ (* -1/2 y) (* 1/2 y)))) (* 2/3 (* (+ (* -16/27 (pow (+ (* -1/2 y) (* 1/2 y)) 2)) (* 4/9 (pow y 2))) (+ (* -1/2 y) (* 1/2 y))))) (pow x 3)))) (+ (* -8/9 (/ (+ (* -1/2 y) (* 1/2 y)) x)) (+ (* -16/27 (/ (pow (+ (* -1/2 y) (* 1/2 y)) 2) (pow x 2))) (* 4/9 (/ (pow y 2) (pow x 2)))))) x)
(* 3/4 (pow x 2))
(* (pow x 2) (+ 3/4 (* -1/2 (/ (+ (* -1/2 y) (* 1/2 y)) x))))
(* (pow x 2) (+ 3/4 (+ (* -1/2 (/ (+ (* -1/2 y) (* 1/2 y)) x)) (* 1/4 (/ (pow y 2) (pow x 2))))))
(* 1/6 x)
(* x (+ 1/6 (* -1/8 (/ (- (* 4/3 (+ y (* 2 y))) (* 8/9 (+ (* -1/2 y) (* 1/2 y)))) x))))
(* x (+ 1/6 (+ (* -1/8 (/ (- (* 4/3 (+ y (* 2 y))) (* 8/9 (+ (* -1/2 y) (* 1/2 y)))) x)) (* -1/8 (/ (- (* 4/3 (+ (* -2 (pow y 2)) (* -1 (pow y 2)))) (+ (* -2/3 (* (+ (* -1/2 y) (* 1/2 y)) (- (* 4/3 (+ y (* 2 y))) (* 8/9 (+ (* -1/2 y) (* 1/2 y)))))) (* -4/9 (pow y 2)))) (pow x 2))))))
(* x (+ 1/6 (+ (* -1/8 (/ (- (* 4/3 (+ y (* 2 y))) (* 8/9 (+ (* -1/2 y) (* 1/2 y)))) x)) (+ (* -1/8 (/ (- (* 4/3 (+ (* -2 (pow y 2)) (* -1 (pow y 2)))) (+ (* -2/3 (* (+ (* -1/2 y) (* 1/2 y)) (- (* 4/3 (+ y (* 2 y))) (* 8/9 (+ (* -1/2 y) (* 1/2 y)))))) (* -4/9 (pow y 2)))) (pow x 2))) (* -1/8 (/ (- (* 4/3 (pow y 3)) (+ (* -2/3 (* (+ (* -1/2 y) (* 1/2 y)) (- (* 4/3 (+ (* -2 (pow y 2)) (* -1 (pow y 2)))) (+ (* -2/3 (* (+ (* -1/2 y) (* 1/2 y)) (- (* 4/3 (+ y (* 2 y))) (* 8/9 (+ (* -1/2 y) (* 1/2 y)))))) (* -4/9 (pow y 2)))))) (* 1/3 (* (pow y 2) (- (* 4/3 (+ y (* 2 y))) (* 8/9 (+ (* -1/2 y) (* 1/2 y)))))))) (pow x 3)))))))
(fabs (neg (+ y (* -1 x))))
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1)))
(* -1 (* x (- (/ y x) 1)))
(* 1/2 (fabs (neg (+ y (* -1 x)))))
(* -1 (* x (- (pow (sqrt -1) 2) 1/2)))
(* -1 (* x (- (+ (* 1/2 (/ y x)) (pow (sqrt -1) 2)) 1/2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(* -1 (* x (+ 1/2 (* -1/2 (/ y x)))))
(* -1 (* (sqrt x) (sqrt -1)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow y 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
(* -1 (* x (- (* -1 (/ (+ (* -8/9 (+ (* -1/2 y) (* 1/2 y))) (* -1/8 (- (* 4/3 (+ y (* 2 y))) (* -8/9 (+ (* -1/2 y) (* 1/2 y)))))) x)) 3/2)))
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ (+ (* -16/27 (pow (+ (* -1/2 y) (* 1/2 y)) 2)) (+ (* -1/8 (- (* 4/3 (+ (* 2 (pow y 2)) (pow y 2))) (+ (* -2/3 (* (+ (* -1/2 y) (* 1/2 y)) (- (* 4/3 (+ y (* 2 y))) (* -8/9 (+ (* -1/2 y) (* 1/2 y)))))) (* 4/9 (pow y 2))))) (* 4/9 (pow y 2)))) x)) (+ (* -8/9 (+ (* -1/2 y) (* 1/2 y))) (* -1/8 (- (* 4/3 (+ y (* 2 y))) (* -8/9 (+ (* -1/2 y) (* 1/2 y))))))) x)) 3/2)))
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (- (* 4/3 (pow y 3)) (+ (* -2/3 (* (+ (* -1/2 y) (* 1/2 y)) (- (* 4/3 (+ (* 2 (pow y 2)) (pow y 2))) (+ (* -2/3 (* (+ (* -1/2 y) (* 1/2 y)) (- (* 4/3 (+ y (* 2 y))) (* -8/9 (+ (* -1/2 y) (* 1/2 y)))))) (* 4/9 (pow y 2)))))) (* 1/3 (* (pow y 2) (- (* 4/3 (+ y (* 2 y))) (* -8/9 (+ (* -1/2 y) (* 1/2 y))))))))) (+ (* 8/27 (* (pow y 2) (+ (* -1/2 y) (* 1/2 y)))) (* 2/3 (* (+ (* -16/27 (pow (+ (* -1/2 y) (* 1/2 y)) 2)) (* 4/9 (pow y 2))) (+ (* -1/2 y) (* 1/2 y)))))) x)) (+ (* -16/27 (pow (+ (* -1/2 y) (* 1/2 y)) 2)) (+ (* -1/8 (- (* 4/3 (+ (* 2 (pow y 2)) (pow y 2))) (+ (* -2/3 (* (+ (* -1/2 y) (* 1/2 y)) (- (* 4/3 (+ y (* 2 y))) (* -8/9 (+ (* -1/2 y) (* 1/2 y)))))) (* 4/9 (pow y 2))))) (* 4/9 (pow y 2))))) x)) (+ (* -8/9 (+ (* -1/2 y) (* 1/2 y))) (* -1/8 (- (* 4/3 (+ y (* 2 y))) (* -8/9 (+ (* -1/2 y) (* 1/2 y))))))) x)) 3/2)))
(* -1 (/ (- (* 8/9 (/ (+ (* -1/2 y) (* 1/2 y)) x)) 4/3) x))
(* -1 (/ (- (* -1 (/ (- (+ (* -4/9 (/ (pow y 2) x)) (* 16/27 (/ (pow (+ (* -1/2 y) (* 1/2 y)) 2) x))) (* 8/9 (+ (* -1/2 y) (* 1/2 y)))) x)) 4/3) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -8/27 (/ (* (pow y 2) (+ (* -1/2 y) (* 1/2 y))) x)) (* 2/3 (/ (* (+ (* -1/2 y) (* 1/2 y)) (+ (* -4/9 (pow y 2)) (* 16/27 (pow (+ (* -1/2 y) (* 1/2 y)) 2)))) x))) (+ (* -4/9 (pow y 2)) (* 16/27 (pow (+ (* -1/2 y) (* 1/2 y)) 2)))) x)) (* 8/9 (+ (* -1/2 y) (* 1/2 y)))) x)) 4/3) x))
(* (pow x 2) (+ 3/4 (* 1/2 (/ (+ (* -1/2 y) (* 1/2 y)) x))))
(* (pow x 2) (+ 3/4 (* -1 (/ (+ (* -1/2 (+ (* -1/2 y) (* 1/2 y))) (* -1/4 (/ (pow y 2) x))) x))))
(* -1 (* x (- (* 1/8 (/ (- (* 4/3 (+ y (* 2 y))) (* -8/9 (+ (* -1/2 y) (* 1/2 y)))) x)) 1/6)))
(* -1 (* x (- (* -1 (/ (+ (* -1/8 (- (* 4/3 (+ y (* 2 y))) (* -8/9 (+ (* -1/2 y) (* 1/2 y))))) (* 1/8 (/ (- (* 4/3 (+ (* 2 (pow y 2)) (pow y 2))) (+ (* -2/3 (* (+ (* -1/2 y) (* 1/2 y)) (- (* 4/3 (+ y (* 2 y))) (* -8/9 (+ (* -1/2 y) (* 1/2 y)))))) (* 4/9 (pow y 2)))) x))) x)) 1/6)))
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (- (* 4/3 (+ (* 2 (pow y 2)) (pow y 2))) (+ (* -2/3 (* (+ (* -1/2 y) (* 1/2 y)) (- (* 4/3 (+ y (* 2 y))) (* -8/9 (+ (* -1/2 y) (* 1/2 y)))))) (* 4/9 (pow y 2))))) (* 1/8 (/ (- (* 4/3 (pow y 3)) (+ (* -2/3 (* (+ (* -1/2 y) (* 1/2 y)) (- (* 4/3 (+ (* 2 (pow y 2)) (pow y 2))) (+ (* -2/3 (* (+ (* -1/2 y) (* 1/2 y)) (- (* 4/3 (+ y (* 2 y))) (* -8/9 (+ (* -1/2 y) (* 1/2 y)))))) (* 4/9 (pow y 2)))))) (* 1/3 (* (pow y 2) (- (* 4/3 (+ y (* 2 y))) (* -8/9 (+ (* -1/2 y) (* 1/2 y)))))))) x))) x)) (* -1/8 (- (* 4/3 (+ y (* 2 y))) (* -8/9 (+ (* -1/2 y) (* 1/2 y)))))) x)) 1/6)))
(+ x (* -1 y))
(+ x (* 1/2 x))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(- y x)
(+ x (* -1/2 x))
(+ x (+ (* -1/2 x) (* 1/2 y)))
(+ (* 1/2 (* (sqrt (/ 1 x)) (/ y (sqrt -1)))) (* (sqrt x) (sqrt -1)))
(+ (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ y (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))) (* (sqrt x) (sqrt -1)))
(+ (* y (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ y (pow (sqrt -1) 5)))))))) (* (sqrt x) (sqrt -1)))
(+ (* 1/8 (/ (pow x 3) (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)))) (/ (pow x 3) (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2))))
(+ (* -1/8 (* y (+ (* 2 (/ (pow x 2) (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)))) (/ (pow x 2) (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)))))) (+ (* 1/8 (/ (pow x 3) (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)))) (/ (pow x 3) (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)))))
(+ (* 1/8 (/ (pow x 3) (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)))) (+ (* y (+ (* -1/8 (+ (* 2 (/ (pow x 2) (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)))) (/ (pow x 2) (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2))))) (* y (- (* -1/8 (- (+ (* -2 (/ x (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)))) (* -1 (/ x (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2))))) (* -1/4 (/ (pow x 3) (pow (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)) 2))))) (* 1/4 (/ (pow x 3) (pow (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)) 2))))))) (/ (pow x 3) (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)))))
(+ (* 1/8 (/ (pow x 3) (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)))) (+ (* y (+ (* -1/8 (+ (* 2 (/ (pow x 2) (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)))) (/ (pow x 2) (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2))))) (* y (- (+ (* -1/8 (* y (- (/ 1 (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2))) (* 1/4 (/ (+ (* 2 (/ (pow x 2) (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)))) (/ (pow x 2) (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)))) (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2))))))) (* -1/8 (- (+ (* -2 (/ x (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)))) (* -1 (/ x (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2))))) (* -1/4 (/ (pow x 3) (pow (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)) 2)))))) (* 1/4 (/ (pow x 3) (pow (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)) 2))))))) (/ (pow x 3) (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)))))
(/ x (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)))
(+ (* -1/4 (/ (* x (pow y 2)) (pow (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)) 2))) (/ x (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2))))
(+ (* (pow y 2) (- (* 1/16 (/ (* x (pow y 2)) (pow (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)) 3))) (* 1/4 (/ x (pow (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)) 2))))) (/ x (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2))))
(+ (* (pow y 2) (- (* (pow y 2) (- (* -1/64 (/ (* x (pow y 2)) (pow (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)) 4))) (* -1/16 (/ x (pow (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)) 3))))) (* 1/4 (/ x (pow (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)) 2))))) (/ x (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2))))
(+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2))
(+ (* 1/4 (pow y 2)) (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)))
(* 1/8 (/ (pow x 3) (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2))))
(+ (* -1/8 (* y (+ (* 2 (/ (pow x 2) (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)))) (/ (pow x 2) (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)))))) (* 1/8 (/ (pow x 3) (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)))))
(+ (* 1/8 (/ (pow x 3) (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)))) (* y (+ (* -1/8 (* y (- (+ (* -2 (/ x (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)))) (* -1 (/ x (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2))))) (* -1/4 (/ (pow x 3) (pow (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)) 2)))))) (* -1/8 (+ (* 2 (/ (pow x 2) (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)))) (/ (pow x 2) (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2))))))))
(+ (* 1/8 (/ (pow x 3) (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)))) (* y (+ (* -1/8 (+ (* 2 (/ (pow x 2) (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)))) (/ (pow x 2) (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2))))) (* y (+ (* -1/8 (* y (- (/ 1 (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2))) (* 1/4 (/ (+ (* 2 (/ (pow x 2) (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)))) (/ (pow x 2) (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)))) (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2))))))) (* -1/8 (- (+ (* -2 (/ x (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)))) (* -1 (/ x (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2))))) (* -1/4 (/ (pow x 3) (pow (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)) 2))))))))))
(* y (- (/ x y) 1))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* y (- (* 1/2 (/ x y)) 1/2))
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1/2 (+ (* -1/2 (/ x y)) (/ x y))))
(* y (+ 1/2 (* -1/2 (/ x y))))
(* y (+ (sqrt (/ 1 y)) (* -1/2 (* x (sqrt (/ 1 (pow y 3)))))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* -1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7)))))))))
(* y (- (* -1/2 (/ (+ (* -2 x) (* -1 x)) y)) 1/2))
(* y (- (+ (* -1/2 (/ (+ (* -2 x) (* -1 x)) y)) (* -1/8 (/ (- (* 4 (+ (* 2 (pow x 2)) (pow x 2))) (* 16 (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)))) (pow y 2)))) 1/2))
(* y (- (+ (* -1/2 (/ (+ (* -2 x) (* -1 x)) y)) (+ (* -1/8 (/ (- (* -4 (pow x 3)) (* 16 (* (+ (* -2 x) (* -1 x)) (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2))))) (pow y 3))) (+ (* -1/8 (/ (- (* 4 (+ (* 2 (pow x 2)) (pow x 2))) (* 16 (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)))) (pow y 2))) (* 4 (/ (pow x 3) (pow y 3)))))) 1/2))
(/ (+ (* -16 (/ (* x (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2))) (pow y 2))) (* 4 x)) (pow y 2))
(/ (- (+ (* 4 x) (* 64 (/ (* x (pow (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)) 2)) (pow y 4)))) (* 16 (/ (* x (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2))) (pow y 2)))) (pow y 2))
(/ (- (+ (* -256 (/ (* x (pow (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)) 3)) (pow y 6))) (* 4 x)) (+ (* -64 (/ (* x (pow (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)) 2)) (pow y 4))) (* 16 (/ (* x (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2))) (pow y 2))))) (pow y 2))
(* (pow y 2) (+ 1/4 (+ (* 1/2 (/ (* x (- (* 1/2 x) x)) (pow y 2))) (/ (pow x 2) (pow y 2)))))
(* y (- (+ (* -1/2 (/ (+ (* -2 x) (* -1 x)) y)) (+ (* -1/8 (/ (- (* -4 (pow x 3)) (* 16 (* (+ (* -2 x) (* -1 x)) (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2))))) (pow y 3))) (* -1/8 (/ (- (* 4 (+ (* 2 (pow x 2)) (pow x 2))) (* 16 (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)))) (pow y 2))))) 1/2))
(fabs (+ x (* -1 y)))
(+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))
(+ x (* 1/2 (fabs (+ x (* -1 y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* 1/2 (fabs (+ x (* -1 y))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (pow (sqrt -1) 2)))
(* -1 (* y (+ (* -1 (/ (* x (pow (sqrt -1) 2)) y)) (pow (sqrt -1) 2))))
(* -1/2 (* y (pow (sqrt -1) 2)))
(* -1 (* y (+ (* -1 (/ (+ x (* 1/2 (* x (pow (sqrt -1) 2)))) y)) (* 1/2 (pow (sqrt -1) 2)))))
(* -1 (* y (+ (* -1/2 (/ (* x (pow (sqrt -1) 2)) y)) (* 1/2 (pow (sqrt -1) 2)))))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* y (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (* (pow x 3) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))
(* -1 (* y (+ 1/2 (* -1/2 (/ (+ x (* 2 x)) y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ (* -1/8 (/ (- (* 4 (+ (* 2 (pow x 2)) (pow x 2))) (* 16 (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)))) y)) (* 1/2 (+ x (* 2 x)))) y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/8 (- (* 4 (pow x 3)) (* 16 (* (+ x (* 2 x)) (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)))))) (* 4 (pow x 3))) y)) (* 1/8 (- (* 4 (+ (* 2 (pow x 2)) (pow x 2))) (* 16 (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)))))) y)) (* 1/2 (+ x (* 2 x)))) y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 4 (pow x 3)) (* 16 (* (+ x (* 2 x)) (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2))))) y)) (* 1/8 (- (* 4 (+ (* 2 (pow x 2)) (pow x 2))) (* 16 (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)))))) y)) (* 1/2 (+ x (* 2 x)))) y)))))

Calls

6 calls:

Time	Variable		Point	Expression
36.0ms	y	@	inf	((fabs (- x y)) (+ x (/ (fabs (- y x)) 2)) (+ (* (fabs (- x y)) 1/2) x) (- x y) (+ x (/ (fabs (- y x)) 2)) (* (fabs (- x y)) 1/2) (+ (* (sqrt x) (sqrt x)) (/ (- y x) -2)) (sqrt x) (/ (- y x) -2) (- y x) (* (sqrt (- y x)) (sqrt (- y x))) (+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) (/ (* (sqrt (- y x)) (sqrt (- y x))) 2) (sqrt (- y x)) (+ (* (* x x) (/ x (+ (* (- (/ (- y x) -2) x) (/ (- y x) -2)) (* x x)))) (/ (pow (/ (- y x) -2) 3) (+ (* (- (/ (- y x) -2) x) (/ (- y x) -2)) (* x x)))) (* x x) (/ x (+ (* (- (/ (- y x) -2) x) (/ (- y x) -2)) (* x x))) (+ (* (- (/ (- y x) -2) x) (/ (- y x) -2)) (* x x)) (/ (pow (/ (- y x) -2) 3) (+ (* (- (/ (- y x) -2) x) (/ (- y x) -2)) (* x x))))
19.0ms	x	@	inf	((fabs (- x y)) (+ x (/ (fabs (- y x)) 2)) (+ (* (fabs (- x y)) 1/2) x) (- x y) (+ x (/ (fabs (- y x)) 2)) (* (fabs (- x y)) 1/2) (+ (* (sqrt x) (sqrt x)) (/ (- y x) -2)) (sqrt x) (/ (- y x) -2) (- y x) (* (sqrt (- y x)) (sqrt (- y x))) (+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) (/ (* (sqrt (- y x)) (sqrt (- y x))) 2) (sqrt (- y x)) (+ (* (* x x) (/ x (+ (* (- (/ (- y x) -2) x) (/ (- y x) -2)) (* x x)))) (/ (pow (/ (- y x) -2) 3) (+ (* (- (/ (- y x) -2) x) (/ (- y x) -2)) (* x x)))) (* x x) (/ x (+ (* (- (/ (- y x) -2) x) (/ (- y x) -2)) (* x x))) (+ (* (- (/ (- y x) -2) x) (/ (- y x) -2)) (* x x)) (/ (pow (/ (- y x) -2) 3) (+ (* (- (/ (- y x) -2) x) (/ (- y x) -2)) (* x x))))
9.0ms	y	@	0	((fabs (- x y)) (+ x (/ (fabs (- y x)) 2)) (+ (* (fabs (- x y)) 1/2) x) (- x y) (+ x (/ (fabs (- y x)) 2)) (* (fabs (- x y)) 1/2) (+ (* (sqrt x) (sqrt x)) (/ (- y x) -2)) (sqrt x) (/ (- y x) -2) (- y x) (* (sqrt (- y x)) (sqrt (- y x))) (+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) (/ (* (sqrt (- y x)) (sqrt (- y x))) 2) (sqrt (- y x)) (+ (* (* x x) (/ x (+ (* (- (/ (- y x) -2) x) (/ (- y x) -2)) (* x x)))) (/ (pow (/ (- y x) -2) 3) (+ (* (- (/ (- y x) -2) x) (/ (- y x) -2)) (* x x)))) (* x x) (/ x (+ (* (- (/ (- y x) -2) x) (/ (- y x) -2)) (* x x))) (+ (* (- (/ (- y x) -2) x) (/ (- y x) -2)) (* x x)) (/ (pow (/ (- y x) -2) 3) (+ (* (- (/ (- y x) -2) x) (/ (- y x) -2)) (* x x))))
6.0ms	x	@	-inf	((fabs (- x y)) (+ x (/ (fabs (- y x)) 2)) (+ (* (fabs (- x y)) 1/2) x) (- x y) (+ x (/ (fabs (- y x)) 2)) (* (fabs (- x y)) 1/2) (+ (* (sqrt x) (sqrt x)) (/ (- y x) -2)) (sqrt x) (/ (- y x) -2) (- y x) (* (sqrt (- y x)) (sqrt (- y x))) (+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) (/ (* (sqrt (- y x)) (sqrt (- y x))) 2) (sqrt (- y x)) (+ (* (* x x) (/ x (+ (* (- (/ (- y x) -2) x) (/ (- y x) -2)) (* x x)))) (/ (pow (/ (- y x) -2) 3) (+ (* (- (/ (- y x) -2) x) (/ (- y x) -2)) (* x x)))) (* x x) (/ x (+ (* (- (/ (- y x) -2) x) (/ (- y x) -2)) (* x x))) (+ (* (- (/ (- y x) -2) x) (/ (- y x) -2)) (* x x)) (/ (pow (/ (- y x) -2) 3) (+ (* (- (/ (- y x) -2) x) (/ (- y x) -2)) (* x x))))
6.0ms	x	@	0	((fabs (- x y)) (+ x (/ (fabs (- y x)) 2)) (+ (* (fabs (- x y)) 1/2) x) (- x y) (+ x (/ (fabs (- y x)) 2)) (* (fabs (- x y)) 1/2) (+ (* (sqrt x) (sqrt x)) (/ (- y x) -2)) (sqrt x) (/ (- y x) -2) (- y x) (* (sqrt (- y x)) (sqrt (- y x))) (+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) (/ (* (sqrt (- y x)) (sqrt (- y x))) 2) (sqrt (- y x)) (+ (* (* x x) (/ x (+ (* (- (/ (- y x) -2) x) (/ (- y x) -2)) (* x x)))) (/ (pow (/ (- y x) -2) 3) (+ (* (- (/ (- y x) -2) x) (/ (- y x) -2)) (* x x)))) (* x x) (/ x (+ (* (- (/ (- y x) -2) x) (/ (- y x) -2)) (* x x))) (+ (* (- (/ (- y x) -2) x) (/ (- y x) -2)) (* x x)) (/ (pow (/ (- y x) -2) 3) (+ (* (- (/ (- y x) -2) x) (/ (- y x) -2)) (* x x))))

simplify271.0ms (4.6%)

Memory

-27.8MiB live, 453.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	797	4512
1	2742	3896
0	8858	3636

Stop Event

1×	iter limit
1×	node limit

Counts

151 → 149

Calls

Call 1

Inputs
(fabs (- x y))
(* 1/2 (fabs (- y x)))
(+ x (* 1/2 (fabs (- y x))))
(* 1/2 (fabs (- x y)))
(+ x (* 1/2 (fabs (- x y))))
(* -1 y)
(- x y)
(* -1/2 y)
(+ (* -1/2 y) (* 3/2 x))
(sqrt x)
(+ (* -1/2 y) (* 1/2 x))
y
(+ y (* -1 x))
(* 1/2 y)
(+ (* 1/2 x) (* 1/2 y))
(+ (* -1/2 x) (* 1/2 y))
(sqrt y)
(+ (sqrt y) (* -1/2 (* x (sqrt (/ 1 y)))))
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* -1/8 (* x (sqrt (/ 1 (pow y 3))))))))
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* x (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* -1/16 (* x (sqrt (/ 1 (pow y 5))))))))))
(+ (* -1/2 y) (* -1/8 (* x (- (* 4 (/ (+ (* -2 (pow y 2)) (* -1 (pow y 2))) (pow y 2))) (* -8 (/ (+ (* -1/2 y) (* 1/2 y)) y))))))
(+ (* -1/2 y) (* x (+ (* -1/8 (* x (- (* 4 (/ (+ y (* 2 y)) (pow y 2))) (+ (* -2 (/ (* (+ (* -1/2 y) (* 1/2 y)) (- (* 4 (/ (+ (* -2 (pow y 2)) (* -1 (pow y 2))) (pow y 2))) (* -8 (/ (+ (* -1/2 y) (* 1/2 y)) y)))) (pow y 2))) (* 12 (/ 1 y)))))) (* -1/8 (- (* 4 (/ (+ (* -2 (pow y 2)) (* -1 (pow y 2))) (pow y 2))) (* -8 (/ (+ (* -1/2 y) (* 1/2 y)) y)))))))
(+ (* -1/2 y) (* x (+ (* -1/8 (- (* 4 (/ (+ (* -2 (pow y 2)) (* -1 (pow y 2))) (pow y 2))) (* -8 (/ (+ (* -1/2 y) (* 1/2 y)) y)))) (* x (+ (* -1/8 (- (* 4 (/ (+ y (* 2 y)) (pow y 2))) (+ (* -2 (/ (* (+ (* -1/2 y) (* 1/2 y)) (- (* 4 (/ (+ (* -2 (pow y 2)) (* -1 (pow y 2))) (pow y 2))) (* -8 (/ (+ (* -1/2 y) (* 1/2 y)) y)))) (pow y 2))) (* 12 (/ 1 y))))) (* x (+ (* 1/8 (+ (* -2 (/ (* (+ (* -1/2 y) (* 1/2 y)) (- (* 4 (/ (+ y (* 2 y)) (pow y 2))) (+ (* -2 (/ (* (+ (* -1/2 y) (* 1/2 y)) (- (* 4 (/ (+ (* -2 (pow y 2)) (* -1 (pow y 2))) (pow y 2))) (* -8 (/ (+ (* -1/2 y) (* 1/2 y)) y)))) (pow y 2))) (* 12 (/ 1 y))))) (pow y 2))) (+ (* 3 (/ (- (* 4 (/ (+ (* -2 (pow y 2)) (* -1 (pow y 2))) (pow y 2))) (* -8 (/ (+ (* -1/2 y) (* 1/2 y)) y))) (pow y 2))) (* 4 (/ 1 (pow y 2)))))) (* 4 (/ 1 (pow y 2))))))))))
(pow x 2)
(* 4 (/ x (pow y 2)))
(* x (+ (* 8 (/ (* x (+ (* -1/2 y) (* 1/2 y))) (pow y 4))) (* 4 (/ 1 (pow y 2)))))
(* x (+ (* x (- (* -1 (* x (+ (* -16 (/ (pow (+ (* -1/2 y) (* 1/2 y)) 2) (pow y 6))) (* 12 (/ 1 (pow y 4)))))) (* -8 (/ (+ (* -1/2 y) (* 1/2 y)) (pow y 4))))) (* 4 (/ 1 (pow y 2)))))
(* x (+ (* x (- (* x (- (* -1 (* x (+ (* 2 (/ (* (+ (* -16 (/ (pow (+ (* -1/2 y) (* 1/2 y)) 2) (pow y 6))) (* 12 (/ 1 (pow y 4)))) (+ (* -1/2 y) (* 1/2 y))) (pow y 2))) (* 24 (/ (+ (* -1/2 y) (* 1/2 y)) (pow y 6)))))) (+ (* -16 (/ (pow (+ (* -1/2 y) (* 1/2 y)) 2) (pow y 6))) (* 12 (/ 1 (pow y 4)))))) (* -8 (/ (+ (* -1/2 y) (* 1/2 y)) (pow y 4))))) (* 4 (/ 1 (pow y 2)))))
(* 1/4 (pow y 2))
(+ (* -1/2 (* x (+ (* -1/2 y) (* 1/2 y)))) (* 1/4 (pow y 2)))
(+ (* 1/4 (pow y 2)) (* x (+ (* -1/2 (+ (* -1/2 y) (* 1/2 y))) (* 3/4 x))))
(+ (* -1/2 y) (* x (+ (* -1/8 (- (* 4 (/ (+ (* -2 (pow y 2)) (* -1 (pow y 2))) (pow y 2))) (* -8 (/ (+ (* -1/2 y) (* 1/2 y)) y)))) (* x (+ (* -1/8 (- (* 4 (/ (+ y (* 2 y)) (pow y 2))) (+ (* -2 (/ (* (+ (* -1/2 y) (* 1/2 y)) (- (* 4 (/ (+ (* -2 (pow y 2)) (* -1 (pow y 2))) (pow y 2))) (* -8 (/ (+ (* -1/2 y) (* 1/2 y)) y)))) (pow y 2))) (* 12 (/ 1 y))))) (* 1/8 (* x (+ (* -2 (/ (* (+ (* -1/2 y) (* 1/2 y)) (- (* 4 (/ (+ y (* 2 y)) (pow y 2))) (+ (* -2 (/ (* (+ (* -1/2 y) (* 1/2 y)) (- (* 4 (/ (+ (* -2 (pow y 2)) (* -1 (pow y 2))) (pow y 2))) (* -8 (/ (+ (* -1/2 y) (* 1/2 y)) y)))) (pow y 2))) (* 12 (/ 1 y))))) (pow y 2))) (+ (* 3 (/ (- (* 4 (/ (+ (* -2 (pow y 2)) (* -1 (pow y 2))) (pow y 2))) (* -8 (/ (+ (* -1/2 y) (* 1/2 y)) y))) (pow y 2))) (* 4 (/ 1 (pow y 2))))))))))))
x
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x))))
(* x (+ 1 (* -1 (/ y x))))
(* 3/2 x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(* 1/2 x)
(* x (+ 1/2 (* -1/2 (/ y x))))
(* -1 x)
(* x (- (/ y x) 1))
(* x (+ 1/2 (* 1/2 (/ y x))))
(* -1/2 x)
(* x (- (* 1/2 (/ y x)) 1/2))
(* (sqrt x) (sqrt -1))
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(* 3/4 (pow x 2))
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(* 1/6 x)
(* x (+ 1/6 (* -1/8 (/ (- (* 4/3 (+ y (* 2 y))) (* 8/9 (+ (* -1/2 y) (* 1/2 y)))) x))))
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(* -1 (* x (- (* 1/8 (/ (- (* 4/3 (+ y (* 2 y))) (* -8/9 (+ (* -1/2 y) (* 1/2 y)))) x)) 1/6)))
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(+ x (* -1 y))
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(- y x)
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(+ (* -1/8 (* y (+ (* 2 (/ (pow x 2) (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)))) (/ (pow x 2) (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)))))) (+ (* 1/8 (/ (pow x 3) (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)))) (/ (pow x 3) (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)))))
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(/ x (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)))
(+ (* -1/4 (/ (* x (pow y 2)) (pow (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)) 2))) (/ x (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2))))
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(+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2))
(+ (* 1/4 (pow y 2)) (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)))
(* 1/8 (/ (pow x 3) (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2))))
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(* y (- (/ x y) 1))
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(* y (- (* 1/2 (/ x y)) 1/2))
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1/2 (+ (* -1/2 (/ x y)) (/ x y))))
(* y (+ 1/2 (* -1/2 (/ x y))))
(* y (+ (sqrt (/ 1 y)) (* -1/2 (* x (sqrt (/ 1 (pow y 3)))))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* -1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7)))))))))
(* y (- (* -1/2 (/ (+ (* -2 x) (* -1 x)) y)) 1/2))
(* y (- (+ (* -1/2 (/ (+ (* -2 x) (* -1 x)) y)) (* -1/8 (/ (- (* 4 (+ (* 2 (pow x 2)) (pow x 2))) (* 16 (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)))) (pow y 2)))) 1/2))
(* y (- (+ (* -1/2 (/ (+ (* -2 x) (* -1 x)) y)) (+ (* -1/8 (/ (- (* -4 (pow x 3)) (* 16 (* (+ (* -2 x) (* -1 x)) (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2))))) (pow y 3))) (+ (* -1/8 (/ (- (* 4 (+ (* 2 (pow x 2)) (pow x 2))) (* 16 (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)))) (pow y 2))) (* 4 (/ (pow x 3) (pow y 3)))))) 1/2))
(/ (+ (* -16 (/ (* x (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2))) (pow y 2))) (* 4 x)) (pow y 2))
(/ (- (+ (* 4 x) (* 64 (/ (* x (pow (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)) 2)) (pow y 4)))) (* 16 (/ (* x (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2))) (pow y 2)))) (pow y 2))
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(* (pow y 2) (+ 1/4 (+ (* 1/2 (/ (* x (- (* 1/2 x) x)) (pow y 2))) (/ (pow x 2) (pow y 2)))))
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(fabs (+ x (* -1 y)))
(+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))
(+ x (* 1/2 (fabs (+ x (* -1 y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
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(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (pow (sqrt -1) 2)))
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(* -1 (* y (+ (* -1 (/ (+ x (* 1/2 (* x (pow (sqrt -1) 2)))) y)) (* 1/2 (pow (sqrt -1) 2)))))
(* -1 (* y (+ (* -1/2 (/ (* x (pow (sqrt -1) 2)) y)) (* 1/2 (pow (sqrt -1) 2)))))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* y (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (* (pow x 3) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))
(* -1 (* y (+ 1/2 (* -1/2 (/ (+ x (* 2 x)) y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ (* -1/8 (/ (- (* 4 (+ (* 2 (pow x 2)) (pow x 2))) (* 16 (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)))) y)) (* 1/2 (+ x (* 2 x)))) y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/8 (- (* 4 (pow x 3)) (* 16 (* (+ x (* 2 x)) (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)))))) (* 4 (pow x 3))) y)) (* 1/8 (- (* 4 (+ (* 2 (pow x 2)) (pow x 2))) (* 16 (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)))))) y)) (* 1/2 (+ x (* 2 x)))) y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 4 (pow x 3)) (* 16 (* (+ x (* 2 x)) (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2))))) y)) (* 1/8 (- (* 4 (+ (* 2 (pow x 2)) (pow x 2))) (* 16 (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)))))) y)) (* 1/2 (+ x (* 2 x)))) y)))))

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

rewrite198.0ms (3.4%)

Memory

23.9MiB live, 402.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	215
0	53	148
1	222	148
2	1788	148
0	9831	148

Stop Event

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

Counts

19 → 1 060

Calls

Call 1

Inputs
(fabs.f64 (-.f64 x y))
#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)
(-.f64 x y)
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)))
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (-.f64 y x) #s(literal -2 binary64)))
(sqrt.f64 x)
(/.f64 (-.f64 y x) #s(literal -2 binary64))
(-.f64 y x)
(*.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (-.f64 y x)))
(+.f64 x (/.f64 (*.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (-.f64 y x))) #s(literal 2 binary64)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (-.f64 y x))) #s(literal 2 binary64))
(sqrt.f64 (-.f64 y 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))))
(*.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)))
(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
(*.f64 (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64))) (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (-.f64 y x)))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (-.f64 y x)) #s(literal 2 binary64))
(pow.f64 (-.f64 y x) #s(literal 1 binary64))
(/.f64 (neg.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fabs.f64 (fma.f64 x (-.f64 y x) (*.f64 y y)))))
(/.f64 (neg.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fabs.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)))))
(/.f64 (neg.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 (neg.f64 (neg.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)))) (-.f64 y x))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 y x) (*.f64 y y)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 x (-.f64 y x) (*.f64 y y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (-.f64 (.f64 x x) (.f64 y x)))))
(/.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 x (-.f64 y x) (.f64 y y))) (.f64 (fma.f64 x (-.f64 y x) (.f64 y y)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 x (-.f64 y x) (*.f64 y y)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 y x)) (.f64 (-.f64 y x) (.f64 y y))) (pow.f64 (-.f64 y x) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (.f64 x x))) (.f64 (fma.f64 y (-.f64 y x) (.f64 x x)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal 2 binary64)))
(/.f64 (fabs.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (fabs.f64 (fabs.f64 (fma.f64 x (-.f64 y x) (*.f64 y y)))))
(/.f64 (fabs.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (fabs.f64 (fabs.f64 (fma.f64 y (-.f64 y x) (*.f64 x 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 (.f64 x x) (.f64 y x)))))
(/.f64 (sqrt.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 y x))) (sqrt.f64 (fma.f64 y (-.f64 y x) (.f64 x x))))
(/.f64 (sqrt.f64 (.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 y x))) (sqrt.f64 (fma.f64 x (-.f64 y x) (.f64 y y))))
(/.f64 (sqrt.f64 (.f64 (-.f64 y x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (sqrt.f64 (fma.f64 y (-.f64 y x) (.f64 x x))))
(/.f64 (sqrt.f64 (.f64 (-.f64 y x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (sqrt.f64 (fma.f64 x (-.f64 y x) (.f64 y y))))
(/.f64 (sqrt.f64 (.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (sqrt.f64 (.f64 (-.f64 y x) (fma.f64 y (-.f64 y x) (*.f64 x x)))))
(/.f64 (sqrt.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (-.f64 y x) #s(literal 2 binary64)))) (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))))
(/.f64 (sqrt.f64 (.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (sqrt.f64 (.f64 (-.f64 y x) (fma.f64 x (-.f64 y x) (*.f64 y y)))))
(/.f64 (sqrt.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (-.f64 y x) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (-.f64 y x))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y y (-.f64 (.f64 x x) (.f64 y x))))
(/.f64 (neg.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (-.f64 y x))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 y x) (*.f64 y 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 y x) (*.f64 y y))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 y x) (*.f64 y y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x 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 (neg.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 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fabs.f64 (fma.f64 x (-.f64 y x) (*.f64 y y))))
(/.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))))
(/.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64)) (sqrt.f64 (-.f64 y x)))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 x (-.f64 y x) (*.f64 y y))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 y x) (*.f64 y y)))
(/.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 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 y x))
(neg.f64 (-.f64 y x))
(fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 1/4 binary64)) y)
(fma.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/4 binary64)) y)
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3/2 binary64))) y)
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) y)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y)
(sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (neg.f64 (fma.f64 x (-.f64 y x) (.f64 y y)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 y x) (.f64 y y))))
(-.f64 (/.f64 (.f64 x x) (-.f64 y x)) (/.f64 (.f64 y y) (-.f64 y x)))
(-.f64 (/.f64 (.f64 y y) (-.f64 y x)) (/.f64 (.f64 x x) (-.f64 y x)))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (-.f64 y x) (.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 y x) (.f64 y y))))
(-.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)) (neg.f64 (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 y x)
(-.f64 x y)
(fabs.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 y x) (.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (-.f64 y x) (.f64 y y)))))
(fabs.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (.f64 x x)))))
(fabs.f64 (-.f64 y x))
(hypot.f64 (neg.f64 (neg.f64 y)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 4 binary64)))
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(fma.f64 x x (*.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x) (/.f64 (-.f64 y x) #s(literal -2 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 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 (-.f64 y x) #s(literal -2 binary64)) x) (/.f64 (-.f64 y x) #s(literal -2 binary64))) #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 (pow.f64 (.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x) (/.f64 (-.f64 y x) #s(literal -2 binary64))) #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 (pow.f64 x #s(literal 4 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 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x) (/.f64 (-.f64 y x) #s(literal -2 binary64))) #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 2 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.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 x #s(literal 6 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 2 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.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 (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x) (/.f64 (-.f64 y x) #s(literal -2 binary64))) (.f64 x x))
(-.f64 (.f64 x x) (.f64 (neg.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x)) (/.f64 (-.f64 y x) #s(literal -2 binary64))))
(-.f64 (.f64 x x) (.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x) (/.f64 (-.f64 y x) #s(literal -2 binary64))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 x #s(literal 4 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 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))))) (/.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)) (+.f64 (pow.f64 x #s(literal 4 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 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))))))
(+.f64 (/.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)) (+.f64 (pow.f64 x #s(literal 4 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 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))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 x #s(literal 4 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 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))))))
(+.f64 (/.f64 (pow.f64 (.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x) (/.f64 (-.f64 y x) #s(literal -2 binary64))) #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 (pow.f64 x #s(literal 4 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 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (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 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x) (/.f64 (-.f64 y x) #s(literal -2 binary64))) #s(literal 2 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)) (fma.f64 (.f64 x x) (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 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x) (/.f64 (-.f64 y x) #s(literal -2 binary64))) #s(literal 2 binary64)))))
(+.f64 (/.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)) (fma.f64 (.f64 x x) (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 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x) (/.f64 (-.f64 y x) #s(literal -2 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (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 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x) (/.f64 (-.f64 y x) #s(literal -2 binary64))) #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))
(+.f64 (.f64 x x) (.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x) (/.f64 (-.f64 y x) #s(literal -2 binary64))))
(.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) (/.f64 (-.f64 y 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 (-.f64 y x) #s(literal -8 binary64)) (/.f64 (pow.f64 (-.f64 y 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 (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))) (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 3 binary64)) (+.f64 (pow.f64 x #s(literal 6 binary64)) (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)))) (fma.f64 (.f64 x x) (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 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x) (/.f64 (-.f64 y x) #s(literal -2 binary64))) #s(literal 2 binary64))))
(.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64)) #s(literal 8 binary64)) (/.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 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 (pow.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) #s(literal 3/2 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 (pow.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64)) (/.f64 (/.f64 (-.f64 y 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 y x) #s(literal -2 binary64)) (/.f64 (pow.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) #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 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) (neg.f64 (.f64 #s(literal -8 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 y x) #s(literal 3 binary64)) (.f64 #s(literal -8 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)) (neg.f64 (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))))))
(/.f64 (pow.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) #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)))))
(/.f64 (pow.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) #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 (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)))
(neg.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))))
(+.f64 (/.f64 (cosh.f64 (log.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 (sinh.f64 (log.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 (cosh.f64 (log.f64 (pow.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) #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 (sinh.f64 (log.f64 (pow.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) #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)))))

eval173.0ms (3%)

Memory: -7.2MiB live, 463.8MiB allocated
Compiler: Compiled 58 759 to 4 055 computations (93.1% saved)

prune72.0ms (1.2%)

Memory

2.4MiB live, 103.3MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	1 244	8	1 252
Fresh	3	0	3
Picked	5	0	5
Done	0	0	0
Total	1 252	8	1 260

Accuracy

100.0%

Counts

1 260 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.7%	#s(approx (+ (* (sqrt x) (sqrt x)) (/ (- y x) -2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
	29.0%	#s(approx (+ (* (sqrt x) (sqrt x)) (/ (- y x) -2)) (*.f64 #s(literal 3/2 binary64) x))
▶	25.8%	#s(approx (+ (* (sqrt x) (sqrt x)) (/ (- y x) -2)) (*.f64 #s(literal -1/2 binary64) y))
▶	56.5%	#s(approx (+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 y x)))
	28.1%	#s(approx (+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) (*.f64 #s(literal 1/2 binary64) y))
▶	30.9%	#s(approx (+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) (*.f64 #s(literal 1/2 binary64) x))
	52.7%	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x))
▶	53.2%	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 x y) #s(literal 1/2 binary64)))

Compiler

Compiled 260 to 182 computations (30% saved)

simplify322.0ms (5.5%)

Memory

53.6MiB live, 355.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	128
0	39	108
1	76	107
2	188	107
3	448	107
4	796	107
5	1245	107
6	1817	107
7	2400	107
8	3303	107
9	4713	107
10	7290	107
0	8194	107

Stop Event

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

Calls

Call 1

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

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

localize67.0ms (1.2%)

Memory

-3.8MiB live, 133.3MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
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 x) (sqrt x)) (/ (- y x) -2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
accuracy	0.0	(-.f64 x y)
accuracy	0.0	(*.f64 (-.f64 x y) #s(literal 1/2 binary64))
accuracy	10.647320427478695	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 x y) #s(literal 1/2 binary64)))
accuracy	0.0	(*.f64 #s(literal -1/2 binary64) y)
accuracy	0.0	#s(approx (+ (* (sqrt x) (sqrt x)) (/ (- y x) -2)) (*.f64 #s(literal -1/2 binary64) y))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	10.252509545295752	#s(approx (+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) (*.f64 #s(literal 1/2 binary64) x))
accuracy	0.0	(+.f64 y x)
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
accuracy	0.0	#s(approx (+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 y x)))

Samples

43.0ms	213×	0	invalid
12.0ms	43×	0	valid

Compiler

Compiled 104 to 29 computations (72.1% saved)

Precisions

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

ival-mult: 14.0ms (37.5% of total)

ival-add: 10.0ms (26.8% of total)

ival-div: 5.0ms (13.4% of total)

ival-sub: 3.0ms (8% of total)

ival-sqrt: 3.0ms (8% of total)

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

exact: 1.0ms (2.7% of total)

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

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

series78.0ms (1.3%)

Memory

-61.6MiB live, 23.7MiB allocated

Counts

12 → 49

Calls

Call 1

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

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

Calls

6 calls:

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

simplify182.0ms (3.1%)

Memory

10.9MiB live, 243.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	137	237
1	425	227
2	1351	227
3	4519	227
0	8847	214

Stop Event

1×	iter limit
1×	node limit

Counts

49 → 47

Calls

Call 1

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

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

rewrite128.0ms (2.2%)

Memory

45.8MiB live, 276.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	111
0	39	90
1	158	90
2	1084	90
0	9860	90

Stop Event

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

Counts

12 → 319

Calls

Call 1

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

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

eval109.0ms (1.9%)

Memory: -21.1MiB live, 80.5MiB allocated
Compiler: Compiled 11 032 to 1 216 computations (89% saved)

prune10.0ms (0.2%)

Memory

-17.1MiB live, 28.7MiB allocated

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	335	1	336
Fresh	1	2	3
Picked	0	5	5
Done	0	0	0
Total	336	8	344

Accuracy

100.0%

Counts

344 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.7%	#s(approx (+ (* (sqrt x) (sqrt x)) (/ (- y x) -2)) (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x))
✓	52.7%	#s(approx (+ (* (sqrt x) (sqrt x)) (/ (- y x) -2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
▶	29.0%	#s(approx (+ (* (sqrt x) (sqrt x)) (/ (- y x) -2)) (*.f64 #s(literal 3/2 binary64) x))
✓	25.8%	#s(approx (+ (* (sqrt x) (sqrt x)) (/ (- y x) -2)) (*.f64 #s(literal -1/2 binary64) y))
✓	56.5%	#s(approx (+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 y x)))
▶	28.1%	#s(approx (+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) (*.f64 #s(literal 1/2 binary64) y))
✓	30.9%	#s(approx (+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) (*.f64 #s(literal 1/2 binary64) x))
✓	53.2%	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 x y) #s(literal 1/2 binary64)))

Compiler

Compiled 133 to 92 computations (30.8% saved)

simplify40.0ms (0.7%)

Memory

14.9MiB live, 60.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 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 x) (sqrt x)) (/ (- y x) -2)) (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x))
cost-diff	0	(*.f64 #s(literal 3/2 binary64) x)
cost-diff	0	#s(approx (+ (* (sqrt x) (sqrt x)) (/ (- y x) -2)) (*.f64 #s(literal 3/2 binary64) x))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) y)
cost-diff	0	#s(approx (+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) (*.f64 #s(literal 1/2 binary64) y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	72
0	28	58
1	51	58
2	132	58
3	321	58
4	562	58
5	827	58
6	1036	58
7	1159	58
8	1282	58
9	1355	58
10	1363	58
0	1363	58

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

localize94.0ms (1.6%)

Memory

-12.8MiB live, 137.3MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
accuracy	0.0	(-.f64 y x)
accuracy	0.0	#s(approx (+ (* (sqrt x) (sqrt x)) (/ (- y x) -2)) (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x))
accuracy	0.0	(*.f64 #s(literal 3/2 binary64) x)
accuracy	10.573558588688458	#s(approx (+ (* (sqrt x) (sqrt x)) (/ (- y x) -2)) (*.f64 #s(literal 3/2 binary64) x))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) y)
accuracy	0.0	#s(approx (+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) (*.f64 #s(literal 1/2 binary64) y))

Samples

46.0ms	213×	0	invalid
9.0ms	43×	0	valid

Compiler

Compiled 60 to 22 computations (63.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-mult: 8.0ms (30.5% of total)

ival-div: 7.0ms (26.7% of total)

ival-add: 4.0ms (15.3% of total)

ival-sqrt: 4.0ms (15.3% of total)

ival-sub: 2.0ms (7.6% of total)

exact: 1.0ms (3.8% of total)

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

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

series4.0ms (0.1%)

Memory

10.0MiB live, 10.0MiB allocated

Counts

7 → 29

Calls

Call 1

Inputs
#s(approx (+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) y)
#s(approx (+ (* (sqrt x) (sqrt x)) (/ (- y x) -2)) (*.f64 #s(literal 3/2 binary64) x))
(*.f64 #s(literal 3/2 binary64) x)
#s(approx (+ (* (sqrt x) (sqrt x)) (/ (- y x) -2)) (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
(* 1/2 y)
(+ (* 1/2 x) (* 1/2 y))
(* -1/2 y)
(+ (* -1/2 y) (* 3/2 x))
(* 3/2 x)
y
(+ y (* -1 x))
(* 1/2 x)
(* x (+ 1/2 (* 1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* -1 x)
(* x (- (/ y x) 1))
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(* -1 (* x (- (pow (sqrt -1) 2) 1/2)))
(* -1 (* x (- (+ (* 1/2 (/ y x)) (pow (sqrt -1) 2)) 1/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(+ x (* -1/2 x))
(+ x (+ (* -1/2 x) (* 1/2 y)))
(+ x (* 1/2 x))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(- y x)
(* y (+ 1/2 (+ (* -1/2 (/ x y)) (/ x y))))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* y (+ 1 (* -1 (/ x y))))
(* -1/2 (* y (pow (sqrt -1) 2)))
(* -1 (* y (+ (* -1 (/ (+ x (* 1/2 (* x (pow (sqrt -1) 2)))) y)) (* 1/2 (pow (sqrt -1) 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	x	@	-inf	((+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) (* 1/2 y) (+ (* (sqrt x) (sqrt x)) (/ (- y x) -2)) (* 3/2 x) (+ (* (sqrt x) (sqrt x)) (/ (- y x) -2)) (+ (* (- y x) -1/2) x) (- y x))
1.0ms	y	@	-inf	((+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) (* 1/2 y) (+ (* (sqrt x) (sqrt x)) (/ (- y x) -2)) (* 3/2 x) (+ (* (sqrt x) (sqrt x)) (/ (- y x) -2)) (+ (* (- y x) -1/2) x) (- y x))
1.0ms	x	@	inf	((+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) (* 1/2 y) (+ (* (sqrt x) (sqrt x)) (/ (- y x) -2)) (* 3/2 x) (+ (* (sqrt x) (sqrt x)) (/ (- y x) -2)) (+ (* (- y x) -1/2) x) (- y x))
1.0ms	y	@	inf	((+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) (* 1/2 y) (+ (* (sqrt x) (sqrt x)) (/ (- y x) -2)) (* 3/2 x) (+ (* (sqrt x) (sqrt x)) (/ (- y x) -2)) (+ (* (- y x) -1/2) x) (- y x))
0.0ms	x	@	0	((+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) (* 1/2 y) (+ (* (sqrt x) (sqrt x)) (/ (- y x) -2)) (* 3/2 x) (+ (* (sqrt x) (sqrt x)) (/ (- y x) -2)) (+ (* (- y x) -1/2) x) (- y x))

simplify376.0ms (6.4%)

Memory

54.0MiB live, 406.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	168
1	265	166
2	951	166
3	3379	166
0	8186	155

Stop Event

1×	iter limit
1×	node limit

Counts

29 → 28

Calls

Call 1

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

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

rewrite109.0ms (1.9%)

Memory

-4.3MiB live, 141.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	65
0	28	51
1	106	51
2	807	51
0	9498	51

Stop Event

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

Counts

7 → 157

Calls

Call 1

Inputs
#s(approx (+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) y)
#s(approx (+ (* (sqrt x) (sqrt x)) (/ (- y x) -2)) (*.f64 #s(literal 3/2 binary64) x))
(*.f64 #s(literal 3/2 binary64) x)
#s(approx (+ (* (sqrt x) (sqrt x)) (/ (- y x) -2)) (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 (+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 y #s(literal 1/2 binary64))
#s(approx (+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) (*.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (.f64 #s(literal 3/2 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 x #s(literal 3/2 binary64))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))))
(*.f64 #s(literal 3/2 binary64) x)
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) #s(literal 3/2 binary64)))
(neg.f64 (*.f64 x #s(literal 3/2 binary64)))
#s(approx (+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x))
(.f64 (/.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 #s(literal 1/16 binary64) (pow.f64 (-.f64 y x) #s(literal 4 binary64)) (pow.f64 (.f64 x (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)) #s(literal 2 binary64)))) (fma.f64 x (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x) (pow.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 y x)) #s(literal 2 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (-.f64 y x)) #s(literal 6 binary64)) (pow.f64 (.f64 x (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (pow.f64 (-.f64 y x) #s(literal 4 binary64)) (.f64 (.f64 x (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)) (fma.f64 x (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x) (pow.f64 (.f64 #s(literal -1/2 binary64) (-.f64 y x)) #s(literal 2 binary64))))))
(.f64 (/.f64 (fma.f64 x x (pow.f64 (.f64 #s(literal -1/2 binary64) (-.f64 y x)) #s(literal 2 binary64))) (fma.f64 x 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))
(.f64 (/.f64 (fma.f64 x x (pow.f64 (.f64 #s(literal -1/2 binary64) (-.f64 y x)) #s(literal 2 binary64))) (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 (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x) (pow.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 y x)) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (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)) (/.f64 (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))) (.f64 (/.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)) (/.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)))) (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x))
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(*.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (-.f64 y x)))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (-.f64 y x)) #s(literal 2 binary64))
(pow.f64 (-.f64 y x) #s(literal 1 binary64))
(/.f64 (.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (sqrt.f64 (-.f64 y x))) (sqrt.f64 (fma.f64 x (-.f64 y x) (.f64 y y))))
(/.f64 (.f64 (sqrt.f64 (-.f64 y x)) (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (sqrt.f64 (fma.f64 x (-.f64 y x) (.f64 y y))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 y y) (-.f64 y x)) (/.f64 (.f64 y y) (-.f64 y x))) (.f64 (/.f64 (.f64 x x) (-.f64 y x)) (/.f64 (.f64 x x) (-.f64 y x)))) (-.f64 y x))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (-.f64 y x) (.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (-.f64 y x) (.f64 y y)))) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 y x) (.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 y x) (.f64 y y))))) (-.f64 y x))
(/.f64 (-.f64 (.f64 x x) (.f64 y y)) (-.f64 x y))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 y y) (-.f64 y x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (-.f64 y x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 y y) (-.f64 y x)) (/.f64 (.f64 y y) (-.f64 y x)) (fma.f64 (/.f64 (.f64 x x) (-.f64 y x)) (/.f64 (.f64 x x) (-.f64 y x)) (.f64 (/.f64 (.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (-.f64 y x) (.f64 y y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 y x) (.f64 y y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (-.f64 y x) (.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (-.f64 y x) (.f64 y y))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 y x) (.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 y x) (.f64 y y))) (.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (-.f64 y x) (.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 y x) (*.f64 y y)))))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 y y) (.f64 x y))))
(/.f64 (-.f64 (.f64 (.f64 y y) (-.f64 y x)) (.f64 (-.f64 y x) (.f64 x x))) (pow.f64 (-.f64 y x) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (-.f64 y x) (.f64 y y))) (.f64 (fma.f64 x (-.f64 y x) (.f64 y y)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 x (-.f64 y x) (*.f64 y y)) #s(literal 2 binary64)))
(/.f64 (fabs.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fabs.f64 (fma.f64 x (-.f64 y x) (*.f64 y y))))
(/.f64 (sqrt.f64 (.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 y x))) (sqrt.f64 (fma.f64 x (-.f64 y x) (.f64 y y))))
(/.f64 (sqrt.f64 (.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (sqrt.f64 (.f64 (-.f64 y x) (fma.f64 x (-.f64 y x) (*.f64 y y)))))
(/.f64 (sqrt.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (-.f64 y x) #s(literal 2 binary64)))) (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(/.f64 (hypot.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (hypot.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (*.f64 x y)))
(/.f64 (pow.f64 (-.f64 y x) #s(literal 4 binary64)) (pow.f64 (-.f64 y x) #s(literal 3 binary64)))
(/.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 x y) #s(literal 3 binary64))) (fma.f64 x (-.f64 y x) (*.f64 y y))))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 (pow.f64 (fma.f64 x (-.f64 y x) (.f64 y y)) #s(literal 2 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))) (fma.f64 x (-.f64 y x) (.f64 y y))))
(/.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64)) (sqrt.f64 (-.f64 y x)))
(/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 y x))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 y x) (*.f64 y y)))
(neg.f64 (-.f64 y x))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 x (-.f64 y x) (.f64 y y)) #s(literal 2 binary64))) (fma.f64 x (-.f64 y x) (.f64 y y)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 y x) (*.f64 y y))))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (.f64 x (-.f64 y x)) #s(literal 3 binary64)))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (.f64 x (-.f64 y x)) (-.f64 (.f64 x (-.f64 y x)) (.f64 y y)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 y x) (.f64 y y))))
(fma.f64 (/.f64 (.f64 y y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 y x) (.f64 y y)) (/.f64 (*.f64 x x) (-.f64 y x)))
(fma.f64 (/.f64 (.f64 y y) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (-.f64 y x) (/.f64 (.f64 x x) (-.f64 y x)))
(fma.f64 (*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)) (neg.f64 y))
(fma.f64 (*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)) y)
(fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 1/4 binary64)) (neg.f64 y))
(fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 1/4 binary64)) y)
(fma.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/4 binary64)) (neg.f64 y))
(fma.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/4 binary64)) y)
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 x)) (neg.f64 y))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 x)) y)
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 y))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3/2 binary64))) y)
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (neg.f64 y))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) y)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 y))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y)
(sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)))
(-.f64 (/.f64 (.f64 y y) (-.f64 y x)) (/.f64 (.f64 x x) (-.f64 y x)))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (-.f64 y x) (.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 y x) (.f64 y y))))
(-.f64 y x)
(fabs.f64 (-.f64 (/.f64 (.f64 x x) (-.f64 y x)) (/.f64 (.f64 y y) (-.f64 y x))))
(fabs.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 y x) (.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (-.f64 y x) (.f64 y y)))))
(fabs.f64 (-.f64 x y))
(fabs.f64 (-.f64 y x))
(hypot.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 4 binary64)))
(hypot.f64 (pow.f64 y #s(literal 1 binary64)) x)
(hypot.f64 (neg.f64 (neg.f64 y)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 4 binary64)))
(hypot.f64 (neg.f64 (neg.f64 y)) x)
(hypot.f64 (neg.f64 (fabs.f64 y)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 4 binary64)))
(hypot.f64 (neg.f64 (fabs.f64 y)) x)
(hypot.f64 (fabs.f64 (fabs.f64 y)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 4 binary64)))
(hypot.f64 (fabs.f64 (fabs.f64 y)) x)
(hypot.f64 (neg.f64 y) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 4 binary64)))
(hypot.f64 (neg.f64 y) x)
(hypot.f64 (fabs.f64 y) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 4 binary64)))
(hypot.f64 (fabs.f64 y) x)
(hypot.f64 y (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 4 binary64)))
(hypot.f64 y x)
(exp.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64))) #s(literal 1/2 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 (.f64 y y) (-.f64 y x)) (/.f64 (.f64 x x) (-.f64 y x)))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (-.f64 y x) (.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 y x) (.f64 y y))))
(+.f64 (neg.f64 y) x)
(+.f64 x (neg.f64 y))
(+.f64 x y)
(+.f64 y x)

eval22.0ms (0.4%)

Memory: 4.4MiB live, 51.3MiB allocated
Compiler: Compiled 5 811 to 667 computations (88.5% saved)

prune10.0ms (0.2%)

Memory

-22.2MiB live, 23.3MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	172	0	172
Fresh	0	0	0
Picked	0	3	3
Done	0	5	5
Total	172	8	180

Accuracy

100.0%

Counts

180 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.7%	#s(approx (+ (* (sqrt x) (sqrt x)) (/ (- y x) -2)) (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x))
✓	52.7%	#s(approx (+ (* (sqrt x) (sqrt x)) (/ (- y x) -2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
✓	29.0%	#s(approx (+ (* (sqrt x) (sqrt x)) (/ (- y x) -2)) (*.f64 #s(literal 3/2 binary64) x))
✓	25.8%	#s(approx (+ (* (sqrt x) (sqrt x)) (/ (- y x) -2)) (*.f64 #s(literal -1/2 binary64) y))
✓	56.5%	#s(approx (+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 y x)))
✓	28.1%	#s(approx (+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) (*.f64 #s(literal 1/2 binary64) y))
✓	30.9%	#s(approx (+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) (*.f64 #s(literal 1/2 binary64) x))
✓	53.2%	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 x y) #s(literal 1/2 binary64)))

Compiler

Compiled 430 to 165 computations (61.6% saved)

regimes20.0ms (0.3%)

Memory

-5.8MiB live, 39.1MiB allocated

Counts

18 → 1

Calls

Call 1

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

9.0ms	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
5.0ms	x
5.0ms	y

Results

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

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes10.0ms (0.2%)

Memory

27.6MiB live, 27.6MiB allocated

Counts

9 → 3

Calls

Call 1

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
81.4%	3	`(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))`
82.2%	3	`x`
82.8%	3	`y`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes114.0ms (1.9%)

Memory

-52.2MiB live, 60.7MiB allocated

Counts

6 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

50.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
69.3%	4	`x`
81.6%	3	`y`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes5.0ms (0.1%)

Memory

12.2MiB live, 12.2MiB allocated

Counts

5 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
57.9%	2	`(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))`
74.6%	3	`y`

Compiler

Compiled 9 to 9 computations (0% saved)

regimes4.0ms (0.1%)

Memory

10.0MiB live, 10.0MiB allocated

Counts

4 → 4

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
58.6%	3	`x`
66.2%	4	`y`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes2.0ms (0%)

Memory

3.0MiB live, 3.0MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
62.9%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes4.0ms (0.1%)

Memory

7.1MiB live, 7.1MiB allocated

Counts

2 → 2

Calls

Call 1

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

Outputs
#s(approx (+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) (*.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	x
1.0ms	y

Results

Accuracy	Segments	Branch
46.1%	2	`x`
52.2%	2	`(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))`
49.3%	2	`y`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes4.0ms (0.1%)

Memory

6.5MiB live, 6.5MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
30.9%	1	`x`
30.9%	1	`y`
30.9%	1	`(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))`

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch54.0ms (0.9%)

Memory

-5.9MiB live, 40.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	2.7116528778335787e-264	1.2504925424590826e-249
36.0ms	-2.903496931760225e-209	-8.323427438244335e-215

Samples

35.0ms	279×	0	valid
2.0ms	13×	3	valid
1.0ms	5×	2	valid
1.0ms	7×	1	valid

Compiler

Compiled 612 to 478 computations (21.9% saved)

Precisions

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

ival-div: 3.0ms (29.8% of total)

ival-sub: 2.0ms (19.9% of total)

ival-fabs: 2.0ms (19.9% of total)

ival-add: 2.0ms (19.9% of total)

adjust: 1.0ms (9.9% of total)

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

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

exact: 0.0ms (0% of total)

bsearch14.0ms (0.2%)

Memory

-13.5MiB live, 31.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.7116528778335787e-264	1.2504925424590826e-249
11.0ms	-9.225018772658676e-246	-2.0367094848214435e-246

Samples

6.0ms	85×	0	valid
1.0ms	4×	3	valid
1.0ms	4×	2	valid
0.0ms	3×	1	valid

Compiler

Compiled 525 to 406 computations (22.7% saved)

Precisions

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

ival-div: 1.0ms (29.9% of total)

ival-sub: 1.0ms (29.9% of total)

ival-fabs: 1.0ms (29.9% of total)

ival-add: 1.0ms (29.9% 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)

bsearch16.0ms (0.3%)

Memory

-15.5MiB live, 36.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	44139786644579.78	846952723938671.5
1.0ms	-9.225018772658676e-246	-2.0367094848214435e-246

Samples

5.0ms	108×	0	valid
0.0ms	3×	1	valid
0.0ms	1×	2	valid

Compiler

Compiled 409 to 324 computations (20.8% saved)

Precisions

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

ival-div: 1.0ms (33.1% of total)

ival-sub: 1.0ms (33.1% of total)

ival-add: 1.0ms (33.1% of total)

ival-fabs: 1.0ms (33.1% 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)

bsearch19.0ms (0.3%)

Memory

10.0MiB live, 55.5MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	44139786644579.78	846952723938671.5
3.0ms	-2.903496931760225e-209	-8.323427438244335e-215
14.0ms	-1.3819722503765423e-78	-2.952975781414334e-86

Samples

6.0ms	131×	0	valid
1.0ms	8×	2	valid
1.0ms	5×	1	valid

Compiler

Compiled 811 to 612 computations (24.5% saved)

Precisions

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

ival-div: 1.0ms (21.6% of total)

ival-sub: 1.0ms (21.6% of total)

ival-add: 1.0ms (21.6% of total)

ival-fabs: 1.0ms (21.6% 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)

bsearch12.0ms (0.2%)

Memory

28.9MiB live, 28.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	0.0822484073645374	11.874638991190182
1.0ms	-1.3819722503765423e-78	-2.952975781414334e-86

Samples

5.0ms	110×	0	valid
0.0ms	2×	1	valid

Compiler

Compiled 537 to 396 computations (26.3% saved)

Precisions

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

ival-div: 1.0ms (35.8% of total)

ival-add: 1.0ms (35.8% of total)

ival-fabs: 1.0ms (35.8% of total)

ival-sub: 1.0ms (35.8% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.612509386329338e-246	4.881582611531763e-246

Compiler

Compiled 11 to 12 computations (-9.1% saved)

simplify85.0ms (1.4%)

Memory

-18.3MiB live, 75.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	67	297
1	100	292
2	197	292
3	421	292
4	772	292
5	1381	292
6	2329	292
7	4737	292

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 -1516130949512411/1516130949512411069481425281701662651618052751090524034315480505884815383482789928057498446121725076123523174508917063677901933636830873429144811792032403456254350562520361235888930942999607856274670897650113739014543795755679744 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (.f64 (-.f64 x y) #s(literal 1/2 binary64))) (if (<=.f64 y #s(literal 2535813749451193/33810849992682575766549746234657062817206228866311777416189485377707129763630391006362704376810060025259161279568456235448470243808171874384034494621628132922136747775936325386798817131291292227393550906125516057865473810736099951285657401521090334495330469177455231893504 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x)) #s(approx (+ x (/ ( (sqrt (- y x)) (sqrt (- y x))) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 y x)))))
(if (<=.f64 y #s(literal -8659422162908789/3936100983140358674171118325863157261303419813782882110237782515784158576702511753696331798193284779002326689610310857585686054524054270515222392815820422596546908348791339130466666204306680269934417552562141332061201544797059608540225005885713074181150932467712 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (.f64 (-.f64 x y) #s(literal 1/2 binary64))) (if (<=.f64 y #s(literal 2535813749451193/33810849992682575766549746234657062817206228866311777416189485377707129763630391006362704376810060025259161279568456235448470243808171874384034494621628132922136747775936325386798817131291292227393550906125516057865473810736099951285657401521090334495330469177455231893504 binary64)) #s(approx (+ ( (sqrt x) (sqrt x)) (/ (- y x) -2)) (.f64 #s(literal 3/2 binary64) x)) #s(approx (+ x (/ ( (sqrt (- y x)) (sqrt (- y x))) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 y x)))))
(if (<=.f64 y #s(literal -8659422162908789/3936100983140358674171118325863157261303419813782882110237782515784158576702511753696331798193284779002326689610310857585686054524054270515222392815820422596546908348791339130466666204306680269934417552562141332061201544797059608540225005885713074181150932467712 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (.f64 (-.f64 x y) #s(literal 1/2 binary64))) (if (<=.f64 y #s(literal 195000000000000 binary64)) #s(approx (+ ( (sqrt x) (sqrt x)) (/ (- y x) -2)) (.f64 #s(literal 3/2 binary64) x)) #s(approx (+ x (/ ( (sqrt (- y x)) (sqrt (- y x))) 2)) (*.f64 #s(literal 1/2 binary64) y))))
(if (<=.f64 y #s(literal -7903152032907367/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576 binary64)) #s(approx (+ (* (sqrt x) (sqrt x)) (/ (- y x) -2)) (.f64 #s(literal -1/2 binary64) y)) (if (<=.f64 y #s(literal -1516130949512411/1516130949512411069481425281701662651618052751090524034315480505884815383482789928057498446121725076123523174508917063677901933636830873429144811792032403456254350562520361235888930942999607856274670897650113739014543795755679744 binary64)) #s(approx (+ x (/ ( (sqrt (- y x)) (sqrt (- y x))) 2)) (.f64 #s(literal 1/2 binary64) x)) (if (<=.f64 y #s(literal 195000000000000 binary64)) #s(approx (+ ( (sqrt x) (sqrt x)) (/ (- y x) -2)) (.f64 #s(literal 3/2 binary64) x)) #s(approx (+ x (/ ( (sqrt (- y x)) (sqrt (- y x))) 2)) (*.f64 #s(literal 1/2 binary64) y)))))
(if (<=.f64 y #s(literal -7903152032907367/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576 binary64)) #s(approx (+ (* (sqrt x) (sqrt x)) (/ (- y x) -2)) (.f64 #s(literal -1/2 binary64) y)) (if (<=.f64 y #s(literal 6124895493223875/72057594037927936 binary64)) #s(approx (+ x (/ ( (sqrt (- y x)) (sqrt (- y x))) 2)) (.f64 #s(literal 1/2 binary64) x)) #s(approx (+ x (/ ( (sqrt (- y x)) (sqrt (- y x))) 2)) (*.f64 #s(literal 1/2 binary64) y))))
(if (<=.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) #s(literal 2361660589884215/492012622892544834271389790732894657662927476722860263779722814473019822087813969212041474774160597375290836201288857198210756815506783814402799101977552824568363543598917391308333275538335033741802194070267666507650193099632451067528125735714134272643866558464 binary64)) #s(approx (+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) (.f64 #s(literal 1/2 binary64) x)) #s(approx (+ x (/ ( (sqrt (- y x)) (sqrt (- y x))) 2)) (*.f64 #s(literal 1/2 binary64) y)))
#s(approx (+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) (*.f64 #s(literal 1/2 binary64) x))

Outputs
#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x))
#s(approx (+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x))
(if (<=.f64 y #s(literal -1516130949512411/1516130949512411069481425281701662651618052751090524034315480505884815383482789928057498446121725076123523174508917063677901933636830873429144811792032403456254350562520361235888930942999607856274670897650113739014543795755679744 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (.f64 (-.f64 x y) #s(literal 1/2 binary64))) (if (<=.f64 y #s(literal 2535813749451193/33810849992682575766549746234657062817206228866311777416189485377707129763630391006362704376810060025259161279568456235448470243808171874384034494621628132922136747775936325386798817131291292227393550906125516057865473810736099951285657401521090334495330469177455231893504 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x)) #s(approx (+ x (/ ( (sqrt (- y x)) (sqrt (- y x))) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 y x)))))
(if (<=.f64 y #s(literal -1516130949512411/1516130949512411069481425281701662651618052751090524034315480505884815383482789928057498446121725076123523174508917063677901933636830873429144811792032403456254350562520361235888930942999607856274670897650113739014543795755679744 binary64)) #s(approx (+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) (.f64 (-.f64 x y) #s(literal 1/2 binary64))) (if (<=.f64 y #s(literal 2535813749451193/33810849992682575766549746234657062817206228866311777416189485377707129763630391006362704376810060025259161279568456235448470243808171874384034494621628132922136747775936325386798817131291292227393550906125516057865473810736099951285657401521090334495330469177455231893504 binary64)) #s(approx (+ x (/ ( (sqrt (- y x)) (sqrt (- y x))) 2)) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x)) #s(approx (+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 y x)))))
(if (<=.f64 y #s(literal -8659422162908789/3936100983140358674171118325863157261303419813782882110237782515784158576702511753696331798193284779002326689610310857585686054524054270515222392815820422596546908348791339130466666204306680269934417552562141332061201544797059608540225005885713074181150932467712 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (.f64 (-.f64 x y) #s(literal 1/2 binary64))) (if (<=.f64 y #s(literal 2535813749451193/33810849992682575766549746234657062817206228866311777416189485377707129763630391006362704376810060025259161279568456235448470243808171874384034494621628132922136747775936325386798817131291292227393550906125516057865473810736099951285657401521090334495330469177455231893504 binary64)) #s(approx (+ ( (sqrt x) (sqrt x)) (/ (- y x) -2)) (.f64 #s(literal 3/2 binary64) x)) #s(approx (+ x (/ ( (sqrt (- y x)) (sqrt (- y x))) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 y x)))))
(if (<=.f64 y #s(literal -8659422162908789/3936100983140358674171118325863157261303419813782882110237782515784158576702511753696331798193284779002326689610310857585686054524054270515222392815820422596546908348791339130466666204306680269934417552562141332061201544797059608540225005885713074181150932467712 binary64)) #s(approx (+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) (.f64 (-.f64 x y) #s(literal 1/2 binary64))) (if (<=.f64 y #s(literal 2535813749451193/33810849992682575766549746234657062817206228866311777416189485377707129763630391006362704376810060025259161279568456235448470243808171874384034494621628132922136747775936325386798817131291292227393550906125516057865473810736099951285657401521090334495330469177455231893504 binary64)) #s(approx (+ ( (sqrt x) (sqrt x)) (/ (- y x) -2)) (.f64 #s(literal 3/2 binary64) x)) #s(approx (+ x (/ ( (sqrt (- y x)) (sqrt (- y x))) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 y x)))))
(if (<=.f64 y #s(literal -8659422162908789/3936100983140358674171118325863157261303419813782882110237782515784158576702511753696331798193284779002326689610310857585686054524054270515222392815820422596546908348791339130466666204306680269934417552562141332061201544797059608540225005885713074181150932467712 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (.f64 (-.f64 x y) #s(literal 1/2 binary64))) (if (<=.f64 y #s(literal 195000000000000 binary64)) #s(approx (+ ( (sqrt x) (sqrt x)) (/ (- y x) -2)) (.f64 #s(literal 3/2 binary64) x)) #s(approx (+ x (/ ( (sqrt (- y x)) (sqrt (- y x))) 2)) (*.f64 #s(literal 1/2 binary64) y))))
(if (<=.f64 y #s(literal -8659422162908789/3936100983140358674171118325863157261303419813782882110237782515784158576702511753696331798193284779002326689610310857585686054524054270515222392815820422596546908348791339130466666204306680269934417552562141332061201544797059608540225005885713074181150932467712 binary64)) #s(approx (+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) (.f64 (-.f64 x y) #s(literal 1/2 binary64))) (if (<=.f64 y #s(literal 195000000000000 binary64)) #s(approx (+ ( (sqrt x) (sqrt x)) (/ (- y x) -2)) (.f64 #s(literal 3/2 binary64) x)) #s(approx (+ x (/ ( (sqrt (- y x)) (sqrt (- y x))) 2)) (*.f64 #s(literal 1/2 binary64) y))))
(if (<=.f64 y #s(literal -7903152032907367/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576 binary64)) #s(approx (+ (* (sqrt x) (sqrt x)) (/ (- y x) -2)) (.f64 #s(literal -1/2 binary64) y)) (if (<=.f64 y #s(literal -1516130949512411/1516130949512411069481425281701662651618052751090524034315480505884815383482789928057498446121725076123523174508917063677901933636830873429144811792032403456254350562520361235888930942999607856274670897650113739014543795755679744 binary64)) #s(approx (+ x (/ ( (sqrt (- y x)) (sqrt (- y x))) 2)) (.f64 #s(literal 1/2 binary64) x)) (if (<=.f64 y #s(literal 195000000000000 binary64)) #s(approx (+ ( (sqrt x) (sqrt x)) (/ (- y x) -2)) (.f64 #s(literal 3/2 binary64) x)) #s(approx (+ x (/ ( (sqrt (- y x)) (sqrt (- y x))) 2)) (*.f64 #s(literal 1/2 binary64) y)))))
(if (<=.f64 y #s(literal -7903152032907367/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576 binary64)) #s(approx (+ (* (sqrt x) (sqrt x)) (/ (- y x) -2)) (.f64 #s(literal -1/2 binary64) y)) (if (<=.f64 y #s(literal 6124895493223875/72057594037927936 binary64)) #s(approx (+ x (/ ( (sqrt (- y x)) (sqrt (- y x))) 2)) (.f64 #s(literal 1/2 binary64) x)) #s(approx (+ x (/ ( (sqrt (- y x)) (sqrt (- y x))) 2)) (*.f64 #s(literal 1/2 binary64) y))))
(if (<=.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) #s(literal 2361660589884215/492012622892544834271389790732894657662927476722860263779722814473019822087813969212041474774160597375290836201288857198210756815506783814402799101977552824568363543598917391308333275538335033741802194070267666507650193099632451067528125735714134272643866558464 binary64)) #s(approx (+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) (.f64 #s(literal 1/2 binary64) x)) #s(approx (+ x (/ ( (sqrt (- y x)) (sqrt (- y x))) 2)) (*.f64 #s(literal 1/2 binary64) y)))
#s(approx (+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) (*.f64 #s(literal 1/2 binary64) x))

soundness1000.0ms (17.1%)

Memory

26.6MiB live, 687.3MiB 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
0	797	4512
1	2742	3896
0	8858	3636
0	31	215
0	53	148
1	222	148
2	1788	148
0	9831	148
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×	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
1×	iter limit

Compiler

Compiled 849 to 359 computations (57.7% saved)

preprocess72.0ms (1.2%)

Memory: 5.9MiB live, 145.2MiB allocated
Compiler: Compiled 820 to 142 computations (82.7% saved)

end0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB 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	19	48
1	41	46
2	70	46
3	110	46
4	191	46
5	257	46
6	265	46
7	278	46
8	280	46
0	7	8
0	11	8
1	18	8
2	25	8
3	39	8
4	66	8
5	88	8
6	90	8
7	94	8
8	97	8
0	97	8

start0.0ms (0%)

analyze0.0ms (0%)

sample1.1s (19.6%)

explain110.0ms (1.9%)

preprocess32.0ms (0.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify5.0ms (0.1%)

localize19.0ms (0.3%)

series4.0ms (0.1%)

simplify161.0ms (2.8%)

rewrite212.0ms (3.6%)

eval57.0ms (1%)

prune36.0ms (0.6%)

simplify154.0ms (2.6%)

localize127.0ms (2.2%)

series84.0ms (1.4%)

simplify271.0ms (4.6%)

rewrite198.0ms (3.4%)

eval173.0ms (3%)

prune72.0ms (1.2%)

simplify322.0ms (5.5%)

localize67.0ms (1.2%)

series78.0ms (1.3%)

simplify182.0ms (3.1%)

rewrite128.0ms (2.2%)

eval109.0ms (1.9%)

prune10.0ms (0.2%)

simplify40.0ms (0.7%)

localize94.0ms (1.6%)

series4.0ms (0.1%)

simplify376.0ms (6.4%)

rewrite109.0ms (1.9%)

eval22.0ms (0.4%)

prune10.0ms (0.2%)

regimes20.0ms (0.3%)

regimes10.0ms (0.2%)

regimes114.0ms (1.9%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes2.0ms (0%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch54.0ms (0.9%)

bsearch14.0ms (0.2%)

bsearch16.0ms (0.3%)

bsearch19.0ms (0.3%)

bsearch12.0ms (0.2%)

bsearch0.0ms (0%)

simplify85.0ms (1.4%)

soundness1000.0ms (17.1%)

preprocess72.0ms (1.2%)

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