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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 10 to 9 computations (10% saved)

sample1.3s (27.8%)

Memory

55.2MiB live, 1 336.6MiB allocated; 139ms collecting garbage

Samples

799.0ms	7 937×	0	valid
150.0ms	145×	1	valid
82.0ms	87×	3	valid
13.0ms	87×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 669.0ms

adjust: 216.0ms (32.3% of total)

ival-add: 170.0ms (25.4% of total)

ival-div: 126.0ms (18.8% of total)

ival-fabs: 73.0ms (10.9% of total)

ival-sub: 71.0ms (10.6% of total)

ival-true: 5.0ms (0.7% of total)

exact: 5.0ms (0.7% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

explain345.0ms (7.3%)

Memory

-51.5MiB live, 117.6MiB allocated; 171ms collecting garbage

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

26.0ms	496×	0	valid
24.0ms	10×	3	valid
0.0ms	4×	1	valid
0.0ms	2×	2	valid

Compiler

Compiled 60 to 25 computations (58.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

adjust: 22.0ms (60.5% of total)

ival-div: 4.0ms (11% of total)

ival-sub: 4.0ms (11% of total)

ival-fabs: 3.0ms (8.2% of total)

ival-add: 3.0ms (8.2% of total)

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

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

exact: 0.0ms (0% of total)

preprocess31.0ms (0.7%)

Memory

-3.2MiB live, 43.4MiB allocated; 4ms collecting garbage

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: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify5.0ms (0.1%)

Memory

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

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)

localize55.0ms (1.2%)

Memory

8.7MiB live, 53.3MiB allocated; 7ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))
accuracy	0.0	(-.f64 y x)
accuracy	0.0	(fabs.f64 (-.f64 y x))
accuracy	0.04296875	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))

Samples

46.0ms	248×	0	valid
1.0ms	5×	3	valid
0.0ms	2×	1	valid
0.0ms	1×	2	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 (27.9% of total)

ival-sub: 2.0ms (27.9% of total)

adjust: 1.0ms (14% of total)

ival-fabs: 1.0ms (14% of total)

ival-add: 1.0ms (14% 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

8.4MiB live, 8.4MiB allocated; 0ms collecting garbage

Counts

4 → 19

Calls

Call 1

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

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

Calls

6 calls:

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

simplify161.0ms (3.4%)

Memory

6.7MiB live, 142.1MiB allocated; 30ms collecting garbage

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)

rewrite191.0ms (4.1%)

Memory

-3.5MiB live, 188.3MiB allocated; 34ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

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

Counts

4 → 274

Calls

Call 1

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

Outputs
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x) (/.f64 (-.f64 y x) #s(literal -2 binary64)) (.f64 x x)) #s(literal 2 binary64))) (fma.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x) (/.f64 (-.f64 y x) #s(literal -2 binary64)) (*.f64 x x)))
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x) (/.f64 (-.f64 y x) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x) (/.f64 (-.f64 y x) #s(literal -2 binary64))) (-.f64 (.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x) (/.f64 (-.f64 y x) #s(literal -2 binary64))) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (pow.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x) #s(literal 2 binary64)) (pow.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x) #s(literal 2 binary64))) (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x))
(.f64 (/.f64 (pow.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x) (/.f64 (-.f64 y x) #s(literal -2 binary64)) (.f64 x x))))
(.f64 (/.f64 (pow.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x) (/.f64 (-.f64 y x) #s(literal -2 binary64)) (.f64 x x)))
(*.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x) (/.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x) (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x)))
(.f64 (fma.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x) (/.f64 (-.f64 y x) #s(literal -2 binary64)) (.f64 x x)) (/.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x) (fma.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x) (/.f64 (-.f64 y x) #s(literal -2 binary64)) (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x)) #s(literal 2 binary64))) (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x) (/.f64 (-.f64 y x) #s(literal -2 binary64)) (.f64 x x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x) (/.f64 (-.f64 y x) #s(literal -2 binary64)) (.f64 x x))) #s(literal 2 binary64))) (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x))
(/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x) #s(literal 3 binary64))) (/.f64 (pow.f64 (-.f64 y x) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -4 binary64) (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x)) #s(literal 2 binary64)) (.f64 (.f64 x (/.f64 x (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x))) (/.f64 (pow.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x) (/.f64 (-.f64 y x) #s(literal -2 binary64)) (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x) (/.f64 (-.f64 y x) #s(literal -2 binary64)) (.f64 x x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x) (/.f64 (-.f64 y x) #s(literal -2 binary64)) (.f64 x x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x) (/.f64 (-.f64 y x) #s(literal -2 binary64)) (.f64 x x))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x) (/.f64 (-.f64 y x) #s(literal -2 binary64)) (.f64 x x))) (/.f64 (pow.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x) (/.f64 (-.f64 y x) #s(literal -2 binary64)) (*.f64 x x)))))))
(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x)) (*.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x) (pow.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64)))) (pow.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x) (/.f64 (-.f64 y x) #s(literal -2 binary64)) (.f64 x x)) (.f64 (fma.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x) (/.f64 (-.f64 y x) #s(literal -2 binary64)) (.f64 x x)) (pow.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x) (/.f64 (-.f64 y x) #s(literal -2 binary64)) (.f64 x x)) #s(literal 2 binary64)))
(/.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x) #s(literal 3 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) #s(literal 6 binary64))) (.f64 (pow.f64 (fma.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x) (/.f64 (-.f64 y x) #s(literal -2 binary64)) (.f64 x x)) #s(literal 2 binary64)) (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) #s(literal 6 binary64))) (.f64 (-.f64 (pow.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x) (/.f64 (-.f64 y x) #s(literal -2 binary64)) (.f64 x x))))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (.f64 (-.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) #s(literal 6 binary64))) (pow.f64 (.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x) (/.f64 (-.f64 y x) #s(literal -2 binary64)) (*.f64 x x))))
(/.f64 (pow.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x) #s(literal 2 binary64)) (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x))
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(.f64 (pow.f64 (/.f64 (.f64 (+.f64 y x) (-.f64 y x)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (-.f64 y x) x (*.f64 y y)) #s(literal 1 binary64)))
(.f64 (pow.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)))) #s(literal 1 binary64)) (pow.f64 (-.f64 (.f64 y y) (.f64 (+.f64 y x) x)) #s(literal 1 binary64)))
(.f64 (pow.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)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (.f64 (+.f64 y x) x) (-.f64 (.f64 (+.f64 y x) x) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)))
(.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))))

eval33.0ms (0.7%)

Memory: -10.0MiB live, 36.3MiB allocated; 2ms collecting garbage
Compiler: Compiled 4 841 to 704 computations (85.5% saved)

prune6.0ms (0.1%)

Memory

18.8MiB live, 18.8MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

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

Accuracy

100.0%

Counts

185 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	15.4%	(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))))
▶	50.5%	(fma.f64 (sqrt.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64))) (sqrt.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64))) x)
▶	34.4%	(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (-.f64 y x) #s(literal -2 binary64)))
▶	25.0%	(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x)) (*.f64 x (/.f64 x (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x))))
▶	99.9%	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x))
▶	57.4%	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)))

Compiler

Compiled 256 to 126 computations (50.8% saved)

simplify169.0ms (3.6%)

Memory

-5.0MiB live, 138.7MiB allocated; 11ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (-.f64 y x) #s(literal -2 binary64))
cost-diff	0	(pow.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64))
cost-diff	0	(/.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))
cost-diff	8	(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x)) (*.f64 x (/.f64 x (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x))))
cost-diff	0	(-.f64 y x)
cost-diff	0	(/.f64 (-.f64 y x) #s(literal -2 binary64))
cost-diff	0	(sqrt.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)))
cost-diff	7	(fma.f64 (sqrt.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64))) (sqrt.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64))) x)
cost-diff	0	(-.f64 y x)
cost-diff	0	(/.f64 (-.f64 y x) #s(literal -2 binary64))
cost-diff	0	(sqrt.f64 x)
cost-diff	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	(fabs.f64 (-.f64 x y))
cost-diff	0	(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)))
cost-diff	0	(-.f64 x y)
cost-diff	0	(fabs.f64 (-.f64 x y))
cost-diff	0	(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
cost-diff	0	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	27	206
0	45	196
1	75	196
2	213	187
3	863	186
4	3541	186
0	8636	186

Stop Event

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

Calls

Call 1

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

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

localize143.0ms (3%)

Memory

-34.4MiB live, 109.5MiB allocated; 41ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(pow.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64))
accuracy	0.015625	(*.f64 x (/.f64 x (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x)))
accuracy	0.0390625	(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x)) (*.f64 x (/.f64 x (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x))))
accuracy	12.85386159055072	(/.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))
accuracy	0.0	(/.f64 (-.f64 y x) #s(literal -2 binary64))
accuracy	0.0	(-.f64 y x)
accuracy	0.0	(sqrt.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)))
accuracy	0.09375	(fma.f64 (sqrt.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64))) (sqrt.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64))) x)
accuracy	0.0	(/.f64 (-.f64 y x) #s(literal -2 binary64))
accuracy	0.0	(-.f64 y x)
accuracy	0.0	(sqrt.f64 x)
accuracy	0.08822250976844201	(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (-.f64 y x) #s(literal -2 binary64)))
accuracy	0.0	(-.f64 x y)
accuracy	0.0	(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))
accuracy	0.0	(fabs.f64 (-.f64 x y))
accuracy	11.725781910480277	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)))
accuracy	0.0	(-.f64 x y)
accuracy	0.0	(fabs.f64 (-.f64 x y))
accuracy	0.0	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x))
accuracy	0.03125	(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)

Samples

52.0ms	75×	0	valid
49.0ms	168×	0	invalid
8.0ms	8×	3	valid
2.0ms	3×	2	valid
1.0ms	2×	1	valid

Compiler

Compiled 196 to 28 computations (85.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-mult: 21.0ms (37.8% of total)

ival-div: 11.0ms (19.8% of total)

ival-sub: 6.0ms (10.8% of total)

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

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

adjust: 3.0ms (5.4% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series64.0ms (1.4%)

Memory

13.1MiB live, 57.4MiB allocated; 8ms collecting garbage

Counts

16 → 148

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
34.0ms	y	@	-inf	((+ x (/ (fabs (- y x)) 2)) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (+ x (/ (fabs (- y x)) 2)) (* (fabs (- x y)) 1/2) (+ (* (sqrt x) (sqrt x)) (/ (- y x) -2)) (sqrt x) (/ (- y x) -2) (- y x) (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (sqrt (/ (- y x) -2)) (- (/ (pow (/ (- y x) -2) 2) (- (/ (- y x) -2) x)) (* x (/ x (- (/ (- y x) -2) x)))) (/ (pow (/ (- y x) -2) 2) (- (/ (- y x) -2) x)) (pow (/ (- y x) -2) 2) (* x (/ x (- (/ (- y x) -2) x))))
7.0ms	y	@	0	((+ x (/ (fabs (- y x)) 2)) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (+ x (/ (fabs (- y x)) 2)) (* (fabs (- x y)) 1/2) (+ (* (sqrt x) (sqrt x)) (/ (- y x) -2)) (sqrt x) (/ (- y x) -2) (- y x) (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (sqrt (/ (- y x) -2)) (- (/ (pow (/ (- y x) -2) 2) (- (/ (- y x) -2) x)) (* x (/ x (- (/ (- y x) -2) x)))) (/ (pow (/ (- y x) -2) 2) (- (/ (- y x) -2) x)) (pow (/ (- y x) -2) 2) (* x (/ x (- (/ (- y x) -2) x))))
6.0ms	x	@	0	((+ x (/ (fabs (- y x)) 2)) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (+ x (/ (fabs (- y x)) 2)) (* (fabs (- x y)) 1/2) (+ (* (sqrt x) (sqrt x)) (/ (- y x) -2)) (sqrt x) (/ (- y x) -2) (- y x) (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (sqrt (/ (- y x) -2)) (- (/ (pow (/ (- y x) -2) 2) (- (/ (- y x) -2) x)) (* x (/ x (- (/ (- y x) -2) x)))) (/ (pow (/ (- y x) -2) 2) (- (/ (- y x) -2) x)) (pow (/ (- y x) -2) 2) (* x (/ x (- (/ (- y x) -2) x))))
5.0ms	x	@	inf	((+ x (/ (fabs (- y x)) 2)) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (+ x (/ (fabs (- y x)) 2)) (* (fabs (- x y)) 1/2) (+ (* (sqrt x) (sqrt x)) (/ (- y x) -2)) (sqrt x) (/ (- y x) -2) (- y x) (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (sqrt (/ (- y x) -2)) (- (/ (pow (/ (- y x) -2) 2) (- (/ (- y x) -2) x)) (* x (/ x (- (/ (- y x) -2) x)))) (/ (pow (/ (- y x) -2) 2) (- (/ (- y x) -2) x)) (pow (/ (- y x) -2) 2) (* x (/ x (- (/ (- y x) -2) x))))
5.0ms	x	@	-inf	((+ x (/ (fabs (- y x)) 2)) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (+ x (/ (fabs (- y x)) 2)) (* (fabs (- x y)) 1/2) (+ (* (sqrt x) (sqrt x)) (/ (- y x) -2)) (sqrt x) (/ (- y x) -2) (- y x) (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (sqrt (/ (- y x) -2)) (- (/ (pow (/ (- y x) -2) 2) (- (/ (- y x) -2) x)) (* x (/ x (- (/ (- y x) -2) x)))) (/ (pow (/ (- y x) -2) 2) (- (/ (- y x) -2) x)) (pow (/ (- y x) -2) 2) (* x (/ x (- (/ (- y x) -2) x))))

simplify196.0ms (4.2%)

Memory

40.4MiB live, 261.6MiB allocated; 50ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	730	3636
1	2485	3525
0	8856	3365

Stop Event

1×	iter limit
1×	node limit

Counts

148 → 146

Calls

Call 1

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

Outputs
(* 1/2 (fabs (- y x)))
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))
(+ x (* 1/2 (fabs (- y x))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(* 1/2 (fabs (- x y)))
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))
(+ x (* 1/2 (fabs (- x y))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(+ (* -1/2 y) (* 3/2 x))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
(sqrt x)
(sqrt.f64 x)
(+ (* -1/2 y) (* 1/2 x))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
y
(+ y (* -1 x))
(-.f64 y x)
(* y (pow (sqrt -1/2) 2))
(*.f64 #s(literal -1/2 binary64) y)
(+ (* x (+ 1 (* -1 (pow (sqrt -1/2) 2)))) (* y (pow (sqrt -1/2) 2)))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
(* (sqrt y) (sqrt -1/2))
(*.f64 (sqrt.f64 y) (sqrt.f64 #s(literal -1/2 binary64)))
(+ (* -1/2 (* (* x (sqrt -1/2)) (sqrt (/ 1 y)))) (* (sqrt y) (sqrt -1/2)))
(fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 #s(literal -1/2 binary64)) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 (sqrt.f64 y) (sqrt.f64 #s(literal -1/2 binary64))))
(+ (* x (+ (* -1/2 (* (sqrt (/ 1 y)) (sqrt -1/2))) (* -1/8 (* (* x (sqrt -1/2)) (sqrt (/ 1 (pow y 3))))))) (* (sqrt y) (sqrt -1/2)))
(fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 #s(literal -1/2 binary64)) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) x (*.f64 (sqrt.f64 y) (sqrt.f64 #s(literal -1/2 binary64))))
(+ (* x (+ (* -1/2 (* (sqrt (/ 1 y)) (sqrt -1/2))) (* x (+ (* -1/8 (* (sqrt (/ 1 (pow y 3))) (sqrt -1/2))) (* -1/16 (* (* x (sqrt -1/2)) (sqrt (/ 1 (pow y 5))))))))) (* (sqrt y) (sqrt -1/2)))
(fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (.f64 (.f64 #s(literal -1/16 binary64) (.f64 (sqrt.f64 #s(literal -1/2 binary64)) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) x)) x (*.f64 (sqrt.f64 y) (sqrt.f64 #s(literal -1/2 binary64))))
(+ (* -1/2 y) (* x (+ 3/2 (* -2 (/ x y)))))
(fma.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 3/2 binary64)) x (*.f64 #s(literal -1/2 binary64) y))
(+ (* -1/2 y) (* x (+ 3/2 (* x (- (* 2 (/ x (pow y 2))) (* 2 (/ 1 y)))))))
(fma.f64 (fma.f64 (.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 x (.f64 y y)) (/.f64 #s(literal 1 binary64) y)) #s(literal 3/2 binary64)) x (*.f64 #s(literal -1/2 binary64) y))
(* 1/4 (pow y 2))
(.f64 #s(literal 1/4 binary64) (.f64 y y))
(+ (* -1/2 (* x y)) (* 1/4 (pow y 2)))
(.f64 (fma.f64 #s(literal 1/4 binary64) y (.f64 #s(literal -1/2 binary64) x)) y)
(+ (* 1/4 (pow y 2)) (* x (+ (* -1/2 y) (* 1/4 x))))
(fma.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal -1/2 binary64) y)) x (.f64 #s(literal 1/4 binary64) (*.f64 y y)))
(* -2 (/ (pow x 2) y))
(.f64 (/.f64 (.f64 x x) y) #s(literal -2 binary64))
(* (pow x 2) (- (* 2 (/ x (pow y 2))) (* 2 (/ 1 y))))
(.f64 (.f64 x x) (-.f64 (.f64 (/.f64 x (.f64 y y)) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) y)))
(* (pow x 2) (- (* x (+ (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y))))
(.f64 (-.f64 (.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (.f64 y y))) x) (/.f64 #s(literal 2 binary64) y)) (.f64 x x))
(* (pow x 2) (- (* x (+ (* x (- (* 2 (/ x (pow y 4))) (* 2 (/ 1 (pow y 3))))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y))))
(.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) x (/.f64 #s(literal 2 binary64) (.f64 y y))) x) (/.f64 #s(literal 2 binary64) y)) (*.f64 x x))
x
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
(fma.f64 (/.f64 (fabs.f64 (-.f64 x y)) x) (*.f64 #s(literal 1/2 binary64) x) x)
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x))))
(fma.f64 (/.f64 (fabs.f64 (-.f64 x y)) x) (*.f64 #s(literal 1/2 binary64) x) x)
(* x (+ 1 (* -1 (/ y x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(*.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 3/2 binary64)) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* -1/2 (/ y x))))
(*.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x)
(* -1 x)
(neg.f64 x)
(* x (- (/ y x) 1))
(*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x)
(* x (+ 1 (* -1 (pow (sqrt -1/2) 2))))
(*.f64 #s(literal 3/2 binary64) x)
(* x (+ 1 (+ (* -1 (pow (sqrt -1/2) 2)) (/ (* y (pow (sqrt -1/2) 2)) x))))
(*.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 3/2 binary64)) x)
(* (sqrt x) (* (sqrt -1) (sqrt -1/2)))
(.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 x))
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* y (sqrt -1/2)) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2)))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) y) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -1 binary64)))) x)
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (* (pow y 2) (sqrt -1/2)) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* y (sqrt -1/2)) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) y) y) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) y) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -1 binary64))))) x)
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (* (pow y 2) (sqrt -1/2)) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (* (pow y 3) (sqrt -1/2)) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* y (sqrt -1/2)) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2)))))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) y) y) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 #s(literal -1/2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) y) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -1 binary64)))))) x)
(* x (+ 3/2 (+ (* -2 (/ y x)) (* 1/4 (/ (- (* 4 y) (* -2 y)) x)))))
(.f64 (+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) y (.f64 y #s(literal 3/2 binary64))) x) #s(literal 3/2 binary64)) x)
(* x (+ 3/2 (+ (* -2 (/ y x)) (+ (* 1/4 (/ (- (* -2 (pow y 2)) (* y (- (* 4 y) (* -2 y)))) (pow x 2))) (+ (* 1/4 (/ (- (* 4 y) (* -2 y)) x)) (* 2 (/ (pow y 2) (pow x 2))))))))
(.f64 (+.f64 (fma.f64 (/.f64 y x) #s(literal -2 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (.f64 y y) x) (fma.f64 (/.f64 (-.f64 (.f64 (.f64 #s(literal -2 binary64) y) y) (.f64 (.f64 y #s(literal 6 binary64)) y)) (.f64 x x)) #s(literal 1/4 binary64) (/.f64 (.f64 y #s(literal 3/2 binary64)) x)))) #s(literal 3/2 binary64)) x)
(* x (+ 3/2 (+ (* -2 (/ y x)) (+ (* -2 (/ (pow y 3) (pow x 3))) (+ (* -1/4 (/ (* y (- (* -2 (pow y 2)) (* y (- (* 4 y) (* -2 y))))) (pow x 3))) (+ (* 1/4 (/ (- (* -2 (pow y 2)) (* y (- (* 4 y) (* -2 y)))) (pow x 2))) (+ (* 1/4 (/ (- (* 4 y) (* -2 y)) x)) (* 2 (/ (pow y 2) (pow x 2))))))))))
(.f64 (+.f64 (fma.f64 #s(literal -2 binary64) (+.f64 (/.f64 y x) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal -1/4 binary64) y) (/.f64 (-.f64 (.f64 (.f64 #s(literal -2 binary64) y) y) (.f64 (.f64 y #s(literal 6 binary64)) y)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (.f64 y y) x) (fma.f64 (/.f64 (-.f64 (.f64 (.f64 #s(literal -2 binary64) y) y) (.f64 (.f64 y #s(literal 6 binary64)) y)) (.f64 x x)) #s(literal 1/4 binary64) (/.f64 (*.f64 y #s(literal 3/2 binary64)) x))))) #s(literal 3/2 binary64)) x)
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(* x (- (* 1/4 (/ (- (* 4 y) (* -2 y)) x)) 1/2))
(.f64 (-.f64 (/.f64 (.f64 y #s(literal 3/2 binary64)) x) #s(literal 1/2 binary64)) x)
(* x (- (+ (* 1/4 (/ (- (* -2 (pow y 2)) (* y (- (* 4 y) (* -2 y)))) (pow x 2))) (* 1/4 (/ (- (* 4 y) (* -2 y)) x))) 1/2))
(.f64 (fma.f64 (/.f64 (-.f64 (.f64 (.f64 #s(literal -2 binary64) y) y) (.f64 (.f64 y #s(literal 6 binary64)) y)) (.f64 x x)) #s(literal 1/4 binary64) (-.f64 (/.f64 (*.f64 y #s(literal 3/2 binary64)) x) #s(literal 1/2 binary64))) x)
(* x (- (+ (* -1/4 (/ (* y (- (* -2 (pow y 2)) (* y (- (* 4 y) (* -2 y))))) (pow x 3))) (+ (* 1/4 (/ (- (* -2 (pow y 2)) (* y (- (* 4 y) (* -2 y)))) (pow x 2))) (* 1/4 (/ (- (* 4 y) (* -2 y)) x)))) 1/2))
(.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) y) (/.f64 (-.f64 (.f64 (.f64 #s(literal -2 binary64) y) y) (.f64 (.f64 y #s(literal 6 binary64)) y)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (/.f64 (-.f64 (.f64 (.f64 #s(literal -2 binary64) y) y) (.f64 (.f64 y #s(literal 6 binary64)) y)) (.f64 x x)) #s(literal 1/4 binary64) (-.f64 (/.f64 (.f64 y #s(literal 3/2 binary64)) x) #s(literal 1/2 binary64)))) x)
(* 1/4 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/4 binary64))
(* (pow x 2) (+ 1/4 (* -1/2 (/ y x))))
(.f64 (.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/4 binary64)) x) x)
(* (pow x 2) (+ 1/4 (+ (* -1/2 (/ y x)) (* 1/4 (/ (pow y 2) (pow x 2))))))
(.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 (.f64 y y) x) (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/4 binary64))) (*.f64 x x))
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* x (- (* 2 (/ y x)) 2))
(.f64 (-.f64 (.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) x)
(* x (- (* -2 (/ (pow y 2) (pow x 2))) (+ 2 (* -2 (/ y x)))))
(.f64 (-.f64 (.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (*.f64 y y) x)) (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 2 binary64))) x)
(* x (- (* 2 (/ (pow y 3) (pow x 3))) (+ 2 (+ (* -2 (/ y x)) (* 2 (/ (pow y 2) (pow x 2)))))))
(.f64 (-.f64 (.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))) #s(literal 2 binary64))) x)
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))
(.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 (fabs.f64 (-.f64 x y)) x) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1)))
(.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 (fabs.f64 (-.f64 x y)) x) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fabs (neg (+ y (* -1 x))))
(fabs.f64 (-.f64 x y))
(* -1 (* x (- (/ y x) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 y x) #s(literal 1 binary64)))
(* 1/2 (fabs (neg (+ y (* -1 x)))))
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))
(* -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 (neg.f64 x) (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal -3/2 binary64)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(*.f64 (neg.f64 x) (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(* -1 (* x (- (pow (sqrt -1/2) 2) 1)))
(*.f64 #s(literal 3/2 binary64) x)
(* -1 (* x (- (+ (* -1 (/ (* y (pow (sqrt -1/2) 2)) x)) (pow (sqrt -1/2) 2)) 1)))
(*.f64 (neg.f64 x) (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal -3/2 binary64)))
(* -1 (* (sqrt x) (* (sqrt -1) (sqrt -1/2))))
(.f64 (neg.f64 (sqrt.f64 x)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64))))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (* (sqrt -1) (sqrt -1/2))))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))))))
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(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) x) x (/.f64 (fma.f64 (.f64 #s(literal -8 binary64) (.f64 x x)) (/.f64 (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) x) #s(literal 2 binary64)) y) (.f64 (.f64 #s(literal -4 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal 1/2 binary64) x) x))) (neg.f64 y))) (neg.f64 y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 16 (/ (* (pow x 2) (pow (- (* 1/2 x) x) 3)) y)) (* -8 (* (pow x 2) (pow (- (* 1/2 x) x) 2)))) y)) (* 4 (* (pow x 2) (- (* 1/2 x) x)))) y)) (* 2 (pow x 2))) y))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) x) x (/.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 16 binary64) (.f64 x x)) (/.f64 (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) x) #s(literal 3 binary64)) y) (.f64 (.f64 #s(literal 8 binary64) (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) x) #s(literal 2 binary64))) (.f64 x x))) y) #s(literal -1 binary64) (.f64 (.f64 #s(literal -4 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal 1/2 binary64) x) x))) (neg.f64 y))) (neg.f64 y))

rewrite94.0ms (2%)

Memory

-25.4MiB live, 120.5MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	151
0	45	121
1	176	121
0	1429	121

Stop Event

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

Counts

16 → 308

Calls

Call 1

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

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

eval84.0ms (1.8%)

Memory: 34.5MiB live, 172.8MiB allocated; 25ms collecting garbage
Compiler: Compiled 20 853 to 2 090 computations (90% saved)

prune16.0ms (0.3%)

Memory

2.9MiB live, 47.1MiB allocated; 6ms collecting garbage

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	656	5	661
Fresh	1	0	1
Picked	4	1	5
Done	0	0	0
Total	661	6	667

Accuracy

100.0%

Counts

667 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.2%	#s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
▶	27.5%	#s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (*.f64 #s(literal 3/2 binary64) x))
▶	29.7%	#s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (*.f64 #s(literal -1/2 binary64) y))
✓	99.9%	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x))
▶	62.1%	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x))
▶	54.7%	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64)))

Compiler

Compiled 210 to 138 computations (34.3% saved)

simplify17.0ms (0.4%)

Memory

-27.8MiB live, 18.2MiB allocated; 3ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 15 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 (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
cost-diff	0	#s(approx (- x y) (neg.f64 y))
cost-diff	0	(fabs.f64 #s(approx (- x y) (neg.f64 y)))
cost-diff	0	(*.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64)))
cost-diff	0	(*.f64 #s(literal 3/2 binary64) x)
cost-diff	0	#s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (*.f64 #s(literal 3/2 binary64) x))
cost-diff	0	(*.f64 #s(literal -1/2 binary64) y)
cost-diff	0	#s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (*.f64 #s(literal -1/2 binary64) y))
cost-diff	0	#s(approx (- x y) (neg.f64 y))
cost-diff	0	(fabs.f64 #s(approx (- x y) (neg.f64 y)))
cost-diff	0	(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x)
cost-diff	0	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	174
0	36	150
1	61	150
2	107	150
3	169	150
4	246	150
5	292	150
6	323	150
7	338	150
8	354	150
9	370	150
10	382	150
11	389	150
12	397	150
13	405	150
14	408	150
0	408	150

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize86.0ms (1.8%)

Memory

35.5MiB live, 134.2MiB allocated; 53ms collecting garbage

Localize:

Found 15 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 (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
accuracy	0.0	(neg.f64 y)
accuracy	0.0	(fabs.f64 #s(approx (- x y) (neg.f64 y)))
accuracy	12.15858157613502	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64)))
accuracy	14.213675040856444	#s(approx (- x y) (neg.f64 y))
accuracy	0.0	(*.f64 #s(literal 3/2 binary64) x)
accuracy	18.038386983670087	#s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (*.f64 #s(literal 3/2 binary64) x))
accuracy	0.0	(*.f64 #s(literal -1/2 binary64) y)
accuracy	14.248799973699505	#s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (*.f64 #s(literal -1/2 binary64) y))
accuracy	0.0	(fabs.f64 #s(approx (- x y) (neg.f64 y)))
accuracy	0.0	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x))
accuracy	0.0390625	(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x)
accuracy	14.213675040856444	#s(approx (- x y) (neg.f64 y))

Samples

39.0ms	126×	0	invalid
25.0ms	117×	0	valid
5.0ms	8×	3	valid
1.0ms	3×	2	valid
1.0ms	2×	1	valid

Compiler

Compiled 124 to 25 computations (79.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-mult: 32.0ms (57.4% of total)

ival-fabs: 6.0ms (10.8% of total)

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

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

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

adjust: 2.0ms (3.6% of total)

ival-sqrt: 2.0ms (3.6% of total)

exact: 1.0ms (1.8% of total)

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

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

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

series15.0ms (0.3%)

Memory

-24.1MiB live, 20.7MiB allocated; 14ms collecting garbage

Counts

13 → 41

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	x	@	0	((+ x (/ (fabs (- y x)) 2)) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (* -1/2 y) (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (* 3/2 x) (+ x (/ (fabs (- y x)) 2)) (* (fabs (- x y)) 1/2) (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (+ (* 3/2 x) (* -1/2 y)) (neg y))
2.0ms	x	@	inf	((+ x (/ (fabs (- y x)) 2)) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (* -1/2 y) (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (* 3/2 x) (+ x (/ (fabs (- y x)) 2)) (* (fabs (- x y)) 1/2) (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (+ (* 3/2 x) (* -1/2 y)) (neg y))
1.0ms	y	@	inf	((+ x (/ (fabs (- y x)) 2)) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (* -1/2 y) (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (* 3/2 x) (+ x (/ (fabs (- y x)) 2)) (* (fabs (- x y)) 1/2) (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (+ (* 3/2 x) (* -1/2 y)) (neg y))
1.0ms	y	@	-inf	((+ x (/ (fabs (- y x)) 2)) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (* -1/2 y) (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (* 3/2 x) (+ x (/ (fabs (- y x)) 2)) (* (fabs (- x y)) 1/2) (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (+ (* 3/2 x) (* -1/2 y)) (neg y))
1.0ms	x	@	-inf	((+ x (/ (fabs (- y x)) 2)) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (* -1/2 y) (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (* 3/2 x) (+ x (/ (fabs (- y x)) 2)) (* (fabs (- x y)) 1/2) (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (+ (* 3/2 x) (* -1/2 y)) (neg y))

simplify130.0ms (2.8%)

Memory

-12.2MiB live, 176.1MiB allocated; 30ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	121	351
1	362	219
2	1142	219
3	3722	219
4	6737	219
0	8225	200

Stop Event

1×	iter limit
1×	node limit

Counts

41 → 40

Calls

Call 1

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

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

rewrite49.0ms (1%)

Memory

35.0MiB live, 80.2MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	143
0	36	119
1	139	119
0	1000	119

Stop Event

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

Counts

13 → 53

Calls

Call 1

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

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

eval48.0ms (1%)

Memory: -16.9MiB live, 37.2MiB allocated; 13ms collecting garbage
Compiler: Compiled 2 006 to 242 computations (87.9% saved)

prune5.0ms (0.1%)

Memory

10.5MiB live, 10.5MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	75	1	76
Fresh	0	0	0
Picked	0	5	5
Done	0	1	1
Total	75	7	82

Accuracy

100.0%

Counts

82 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.2%	#s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x))
✓	55.2%	#s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
✓	27.5%	#s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (*.f64 #s(literal 3/2 binary64) x))
✓	29.7%	#s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (*.f64 #s(literal -1/2 binary64) y))
✓	99.9%	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x))
✓	62.1%	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x))
✓	54.7%	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64)))

Compiler

Compiled 135 to 87 computations (35.6% saved)

simplify7.0ms (0.1%)

Memory

10.0MiB live, 10.0MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize50.0ms (1.1%)

Memory

-23.4MiB live, 65.8MiB allocated; 11ms collecting garbage

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 y x)
accuracy	0.0	#s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x))
accuracy	0.0390625	(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)

Samples

25.0ms	117×	0	valid
13.0ms	126×	0	invalid
4.0ms	8×	3	valid
1.0ms	3×	2	valid
0.0ms	2×	1	valid

Compiler

Compiled 30 to 13 computations (56.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-mult: 20.0ms (57.5% of total)

ival-div: 6.0ms (17.2% of total)

ival-add: 3.0ms (8.6% of total)

adjust: 2.0ms (5.7% of total)

ival-sqrt: 2.0ms (5.7% of total)

ival-sub: 2.0ms (5.7% of total)

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

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

exact: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory

7.1MiB live, 7.1MiB allocated; 0ms collecting garbage

Counts

3 → 28

Calls

Call 1

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

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

Calls

6 calls:

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

simplify133.0ms (2.8%)

Memory

3.4MiB live, 146.2MiB allocated; 28ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

28 → 27

Calls

Call 1

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

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

rewrite66.0ms (1.4%)

Memory

2.4MiB live, 91.6MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

3 → 22

Calls

Call 1

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

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

eval4.0ms (0.1%)

Memory: 10.7MiB live, 10.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 932 to 123 computations (86.8% saved)

prune29.0ms (0.6%)

Memory

-3.4MiB live, 58.0MiB allocated; 19ms collecting garbage

Pruning

7 alts after pruning (0 fresh and 7 done)

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

Accuracy

100.0%

Counts

37 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	55.2%	#s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x))
✓	55.2%	#s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
✓	27.5%	#s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (*.f64 #s(literal 3/2 binary64) x))
✓	29.7%	#s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (*.f64 #s(literal -1/2 binary64) y))
✓	99.9%	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x))
✓	62.1%	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x))
✓	54.7%	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64)))

Compiler

Compiled 390 to 148 computations (62.1% saved)

regimes17.0ms (0.4%)

Memory

1.3MiB live, 45.3MiB allocated; 6ms collecting garbage

Counts

13 → 1

Calls

Call 1

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

7.0ms	y
4.0ms	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
4.0ms	x

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)

regimes24.0ms (0.5%)

Memory

-7.5MiB live, 28.4MiB allocated; 17ms collecting garbage

Counts

6 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

18.0ms	x
3.0ms	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
2.0ms	y

Results

Accuracy	Segments	Branch
62.1%	1	`(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))`
75.5%	2	`x`
75.1%	2	`y`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes5.0ms (0.1%)

Memory

14.2MiB live, 14.2MiB allocated; 0ms collecting garbage

Counts

5 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
74.2%	2	`y`
71.3%	2	`x`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes2.0ms (0.1%)

Memory

6.6MiB live, 6.6MiB allocated; 0ms collecting garbage

Counts

4 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
73.8%	2	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes17.0ms (0.4%)

Memory

-26.5MiB live, 12.6MiB allocated; 16ms collecting garbage

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

Calls

2 calls:

15.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
69.1%	2	`x`
65.5%	3	`y`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes5.0ms (0.1%)

Memory

22.4MiB live, 22.4MiB allocated; 0ms collecting garbage

Counts

2 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
33.3%	2	`(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))`
47.2%	2	`y`
46.5%	2	`x`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes4.0ms (0.1%)

Memory

17.7MiB live, 17.7MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
29.7%	1	`(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))`
29.7%	1	`x`
29.7%	1	`y`

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch42.0ms (0.9%)

Memory

-38.4MiB live, 71.2MiB allocated; 33ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
40.0ms	5612.526759357109	25004755572.404373

Samples

33.0ms	143×	0	valid
0.0ms	1×	2	valid

Compiler

Compiled 380 to 264 computations (30.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-div: 17.0ms (59% of total)

ival-add: 9.0ms (31.2% of total)

ival-sub: 1.0ms (3.5% of total)

ival-fabs: 1.0ms (3.5% 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)

bsearch28.0ms (0.6%)

Memory

-3.8MiB live, 38.6MiB allocated; 17ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
26.0ms	2.082683282291289e-88	1.8744076455361847e-84

Samples

6.0ms	123×	0	valid
0.0ms	3×	2	valid
0.0ms	2×	3	valid

Compiler

Compiled 307 to 220 computations (28.3% saved)

Precisions

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

ival-div: 1.0ms (24.2% of total)

ival-sub: 1.0ms (24.2% of total)

ival-fabs: 1.0ms (24.2% of total)

ival-add: 1.0ms (24.2% 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)

bsearch7.0ms (0.2%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
6.0ms	2.082683282291289e-88	1.8744076455361847e-84

Samples

3.0ms	61×	0	valid
1.0ms	3×	2	valid

Compiler

Compiled 331 to 236 computations (28.7% saved)

Precisions

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

adjust: 0.0ms (0% of total)

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

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

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

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

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

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

exact: 0.0ms (0% of total)

bsearch13.0ms (0.3%)

Memory

21.9MiB live, 21.9MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	1397248168838736100.0	2.1934779596441702e+21

Samples

6.0ms	124×	0	valid
0.0ms	3×	1	valid
0.0ms	1×	2	valid

Compiler

Compiled 307 to 228 computations (25.7% saved)

Precisions

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

ival-div: 1.0ms (29.8% of total)

ival-sub: 1.0ms (29.8% of total)

ival-add: 1.0ms (29.8% of total)

ival-fabs: 1.0ms (29.8% 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)

bsearch21.0ms (0.4%)

Memory

-19.6MiB live, 26.5MiB allocated; 11ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	-1.598495328588234e-117	-2.0375868489041843e-126

Samples

7.0ms	141×	0	valid
0.0ms	1×	3	valid
0.0ms	2×	1	valid

Compiler

Compiled 353 to 228 computations (35.4% saved)

Precisions

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

ival-div: 1.0ms (26.1% of total)

ival-sub: 1.0ms (26.1% of total)

ival-fabs: 1.0ms (26.1% of total)

ival-add: 1.0ms (26.1% 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)

simplify92.0ms (2%)

Memory

-3.7MiB live, 46.3MiB allocated; 35ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	192
1	79	192
2	123	192
3	195	192
4	296	192
5	473	192
6	708	192
7	1403	192
8	5852	192

Stop Event

1×	node limit

Calls

Call 1

Inputs
#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x))
(if (<=.f64 x #s(literal 10000 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x)) #s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)))
(if (<=.f64 y #s(literal 3079649020494481/139984046386112763159840142535527767382602843577165595931249318810236991948760059086304843329475444736 binary64)) #s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)) #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))))
(if (<=.f64 y #s(literal 5319393762672285/139984046386112763159840142535527767382602843577165595931249318810236991948760059086304843329475444736 binary64)) #s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)) #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal 23000000000000000000 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64))) #s(approx (+ ( (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (*.f64 #s(literal 3/2 binary64) x)))
(if (<=.f64 y #s(literal -5116944619041073/93035356709837681990313447409664580397266094167976711716030745495121828878514934185752454491361736391777602765602070775492429008462675968 binary64)) #s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (.f64 #s(literal -1/2 binary64) y)) #s(approx (+ ( (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (*.f64 #s(literal 3/2 binary64) x)))
#s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (*.f64 #s(literal -1/2 binary64) y))

Outputs
#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x))
#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x))
(if (<=.f64 x #s(literal 10000 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x)) #s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)))
(if (<=.f64 y #s(literal 3079649020494481/139984046386112763159840142535527767382602843577165595931249318810236991948760059086304843329475444736 binary64)) #s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)) #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))))
(if (<=.f64 y #s(literal 3079649020494481/139984046386112763159840142535527767382602843577165595931249318810236991948760059086304843329475444736 binary64)) #s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)) #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))))
(if (<=.f64 y #s(literal 5319393762672285/139984046386112763159840142535527767382602843577165595931249318810236991948760059086304843329475444736 binary64)) #s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)) #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal 23000000000000000000 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64))) #s(approx (+ ( (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (*.f64 #s(literal 3/2 binary64) x)))
(if (<=.f64 y #s(literal -5116944619041073/93035356709837681990313447409664580397266094167976711716030745495121828878514934185752454491361736391777602765602070775492429008462675968 binary64)) #s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (.f64 #s(literal -1/2 binary64) y)) #s(approx (+ ( (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (*.f64 #s(literal 3/2 binary64) x)))
#s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (*.f64 #s(literal -1/2 binary64) y))

derivations845.0ms (17.9%)

Memory

-15.6MiB live, 565.6MiB allocated; 202ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	7	21
0	11	20
1	47	20
2	323	18
3	4001	18
0	8907	18
0	730	3636
1	2485	3525
0	8856	3365
0	121	351
1	362	219
2	1142	219
3	3722	219
4	6737	219
0	8225	200
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×	node limit
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 248 to 50 computations (79.8% saved)

preprocess44.0ms (0.9%)

Memory: 14.3MiB live, 59.2MiB allocated; 6ms collecting garbage
Compiler: Compiled 512 to 114 computations (77.7% saved)

end0.0ms (0%)

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

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

Iter	Nodes	Cost
0	29	174
0	36	150
1	61	150
2	107	150
3	169	150
4	246	150
5	292	150
6	323	150
7	338	150
8	354	150
9	370	150
10	382	150
11	389	150
12	397	150
13	405	150
14	408	150
0	408	150

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

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

Iter	Nodes	Cost
0	29	174
0	36	150
1	61	150
2	107	150
3	169	150
4	246	150
5	292	150
6	323	150
7	338	150
8	354	150
9	370	150
10	382	150
11	389	150
12	397	150
13	405	150
14	408	150
0	408	150

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.3s (27.8%)

explain345.0ms (7.3%)

preprocess31.0ms (0.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify5.0ms (0.1%)

localize55.0ms (1.2%)

series4.0ms (0.1%)

simplify161.0ms (3.4%)

rewrite191.0ms (4.1%)

eval33.0ms (0.7%)

prune6.0ms (0.1%)

simplify169.0ms (3.6%)

localize143.0ms (3%)

series64.0ms (1.4%)

simplify196.0ms (4.2%)

rewrite94.0ms (2%)

eval84.0ms (1.8%)

prune16.0ms (0.3%)

simplify17.0ms (0.4%)

localize86.0ms (1.8%)

series15.0ms (0.3%)

simplify130.0ms (2.8%)

rewrite49.0ms (1%)

eval48.0ms (1%)

prune5.0ms (0.1%)

simplify7.0ms (0.1%)

localize50.0ms (1.1%)

series3.0ms (0.1%)

simplify133.0ms (2.8%)

rewrite66.0ms (1.4%)

eval4.0ms (0.1%)

prune29.0ms (0.6%)

regimes17.0ms (0.4%)

regimes24.0ms (0.5%)

regimes5.0ms (0.1%)

regimes2.0ms (0.1%)

regimes17.0ms (0.4%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch42.0ms (0.9%)

bsearch28.0ms (0.6%)

bsearch7.0ms (0.2%)

bsearch13.0ms (0.3%)

bsearch21.0ms (0.4%)

simplify92.0ms (2%)

derivations845.0ms (17.9%)

preprocess44.0ms (0.9%)

end0.0ms (0%)

Profiling

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

Iter	Nodes	Cost
0	29	174
0	36	150
1	61	150
2	107	150
3	169	150
4	246	150
5	292	150
6	323	150
7	338	150
8	354	150
9	370	150
10	382	150
11	389	150
12	397	150
13	405	150
14	408	150
0	408	150

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