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)

sample1.1s (18.3%)

Memory

60.4MiB live, 1 265.8MiB allocated; 311ms collecting garbage

Samples

678.0ms	7 946×	0	valid
37.0ms	130×	1	valid
18.0ms	102×	2	valid
16.0ms	78×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 284.0ms

ival-div: 69.0ms (24.3% of total)

ival-sub: 60.0ms (21.1% of total)

ival-add: 52.0ms (18.3% of total)

ival-fabs: 48.0ms (16.9% of total)

adjust: 41.0ms (14.4% of total)

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

exact: 5.0ms (1.8% of total)

ival-assert: 4.0ms (1.4% of total)

Bogosity

explain167.0ms (2.9%)

Memory

-3.5MiB live, 181.6MiB allocated; 73ms 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

42.0ms	492×	0	valid
2.0ms	8×	3	valid
1.0ms	8×	2	valid
1.0ms	4×	1	valid

Compiler

Compiled 60 to 25 computations (58.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-add: 20.0ms (62.6% of total)

ival-div: 4.0ms (12.5% of total)

ival-sub: 3.0ms (9.4% of total)

ival-fabs: 3.0ms (9.4% of total)

adjust: 2.0ms (6.3% of total)

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

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

exact: 0.0ms (0% of total)

preprocess255.0ms (4.4%)

Memory

-14.0MiB live, 176.3MiB allocated; 63ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	48
1	41	46
2	71	46
3	126	46
4	244	46
5	433	46
6	1501	46
7	5175	46
0	7	8
0	11	8
1	18	8
2	26	8
3	46	8
4	95	8
5	201	8
6	775	8
7	5214	8
0	8049	7

Stop Event

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

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB 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)

simplify161.0ms (2.8%)

Memory

23.2MiB live, 165.6MiB allocated; 26ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
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	1	(+.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	26	24
3	46	24
4	95	24
5	201	24
6	775	24
7	5214	24
0	8049	23

Stop Event

1×	iter limit
1×	node limit
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)))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
x
(/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))
(fabs.f64 (-.f64 y x))
(fabs.f64 (-.f64 x y))
(-.f64 y x)
y
#s(literal 2 binary64)

localize23.0ms (0.4%)

Memory

-2.5MiB live, 43.6MiB allocated; 5ms 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	0.046875	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))

Samples

16.0ms	246×	0	valid
1.0ms	4×	3	valid
1.0ms	4×	2	valid
0.0ms	2×	1	valid

Compiler

Compiled 26 to 9 computations (65.4% saved)

Precisions

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

ival-div: 4.0ms (39% of total)

ival-sub: 2.0ms (19.5% of total)

ival-fabs: 2.0ms (19.5% of total)

adjust: 1.0ms (9.7% of total)

ival-add: 1.0ms (9.7% of total)

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

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

exact: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory

7.3MiB live, 7.3MiB 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	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	@	-inf	((+ x (/ (fabs (- y x)) 2)) (/ (fabs (- y x)) 2) (fabs (- y x)) (- y x))
1.0ms	y	@	-inf	((+ x (/ (fabs (- y x)) 2)) (/ (fabs (- y x)) 2) (fabs (- y x)) (- y x))
0.0ms	x	@	0	((+ x (/ (fabs (- y x)) 2)) (/ (fabs (- y x)) 2) (fabs (- y x)) (- y x))

simplify230.0ms (3.9%)

Memory

4.0MiB live, 204.3MiB allocated; 141ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	84
1	127	84
2	362	84
3	1104	84
4	4298	84
0	8156	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)

rewrite57.0ms (1%)

Memory

-23.5MiB live, 75.7MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	21
0	11	21
1	47	21
0	335	21

Stop Event

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

Counts

4 → 33

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

eval4.0ms (0.1%)

Memory: 10.2MiB live, 10.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 647 to 156 computations (75.9% saved)

prune4.0ms (0.1%)

Memory

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

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	33	6	39
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	34	6	40

Accuracy

100.0%

Counts

40 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.2%	(/.f64 (-.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 x x)) (-.f64 (/.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) x))
	32.9%	(/.f64 (+.f64 (pow.f64 (/.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (/.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) (-.f64 (/.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) x) (*.f64 x x)))
▶	33.7%	(+.f64 x (/.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y y (*.f64 x (+.f64 y x))))) #s(literal 2 binary64)))
▶	56.5%	(+.f64 x (/.f64 (fabs.f64 (-.f64 (/.f64 (.f64 y y) (+.f64 y x)) (/.f64 (.f64 x x) (+.f64 y x)))) #s(literal 2 binary64)))
▶	99.9%	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x))
▶	52.1%	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)))

Compiler

Compiled 246 to 156 computations (36.6% saved)

simplify166.0ms (2.8%)

Memory

-27.4MiB live, 247.6MiB allocated; 43ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y y (*.f64 x (+.f64 y x))))
cost-diff	0	(fabs.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y y (*.f64 x (+.f64 y x)))))
cost-diff	0	(/.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y y (*.f64 x (+.f64 y x))))) #s(literal 2 binary64))
cost-diff	0	(+.f64 x (/.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y y (*.f64 x (+.f64 y x))))) #s(literal 2 binary64)))
cost-diff	0	(pow.f64 (-.f64 y x) #s(literal 2 binary64))
cost-diff	0	(/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64))
cost-diff	0	(-.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 x x))
cost-diff	0	(/.f64 (-.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 x x)) (-.f64 (/.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) x))
cost-diff	0	(fabs.f64 (-.f64 (/.f64 (.f64 y y) (+.f64 y x)) (/.f64 (.f64 x x) (+.f64 y x))))
cost-diff	0	(/.f64 (fabs.f64 (-.f64 (/.f64 (.f64 y y) (+.f64 y x)) (/.f64 (.f64 x x) (+.f64 y x)))) #s(literal 2 binary64))
cost-diff	0	(+.f64 x (/.f64 (fabs.f64 (-.f64 (/.f64 (.f64 y y) (+.f64 y x)) (/.f64 (.f64 x x) (+.f64 y x)))) #s(literal 2 binary64)))
cost-diff	4	(-.f64 (/.f64 (.f64 y y) (+.f64 y x)) (/.f64 (.f64 x x) (+.f64 y x)))
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: 4 (0.0ms)

Iter	Nodes	Cost
0	41	339
0	70	339
1	125	339
2	291	339
3	809	327
4	2249	323
5	7459	323
0	8662	323

Stop Event

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

Calls

Call 1

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

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

localize177.0ms (3%)

Memory

2.8MiB live, 392.7MiB allocated; 63ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.046875	(+.f64 x (/.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y y (*.f64 x (+.f64 y x))))) #s(literal 2 binary64)))
accuracy	1.257798738027801	(fma.f64 y y (*.f64 x (+.f64 y x)))
accuracy	3.394514736641647	(-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
accuracy	41.904620928456126	(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y y (*.f64 x (+.f64 y x))))
accuracy	0.01171875	(pow.f64 (-.f64 y x) #s(literal 2 binary64))
accuracy	0.0390625	(-.f64 (/.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) x)
accuracy	13.941296849000928	(-.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 x x))
accuracy	27.591189121406295	(/.f64 (-.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 x x)) (-.f64 (/.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) x))
accuracy	0.00390625	(-.f64 (/.f64 (.f64 y y) (+.f64 y x)) (/.f64 (.f64 x x) (+.f64 y x)))
accuracy	0.046875	(+.f64 x (/.f64 (fabs.f64 (-.f64 (/.f64 (.f64 y y) (+.f64 y x)) (/.f64 (.f64 x x) (+.f64 y x)))) #s(literal 2 binary64)))
accuracy	17.549621322410758	(/.f64 (*.f64 x x) (+.f64 y x))
accuracy	18.185791657310784	(/.f64 (*.f64 y y) (+.f64 y x))
accuracy	0.0	(-.f64 x y)
accuracy	0.0	(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))
accuracy	0.0	(fabs.f64 (-.f64 x y))
accuracy	30.624155468774607	#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	0.046875	(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)

Samples

110.0ms	227×	0	valid
13.0ms	7×	3	valid
12.0ms	9×	2	valid
9.0ms	13×	1	valid

Compiler

Compiled 332 to 40 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 95.0ms

ival-div: 19.0ms (19.9% of total)

adjust: 15.0ms (15.7% of total)

ival-sub: 14.0ms (14.7% of total)

ival-pow2: 12.0ms (12.6% of total)

ival-mult: 12.0ms (12.6% of total)

ival-pow: 9.0ms (9.4% of total)

ival-add: 8.0ms (8.4% of total)

ival-fabs: 6.0ms (6.3% of total)

exact: 1.0ms (1% of total)

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

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

series73.0ms (1.3%)

Memory

5.2MiB live, 140.4MiB allocated; 21ms collecting garbage

Counts

23 → 173

Calls

Call 1

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

Outputs
(* 1/2 (fabs (- y x)))
(+ x (* 1/2 (fabs (- y x))))
(* 1/2 (fabs (- x y)))
(+ x (* 1/2 (fabs (- x y))))
(fabs (- x y))
(* -1 y)
(- x y)
y
(+ y (* -1 x))
(* 1/2 (fabs (- (/ (pow y 2) (+ x y)) (/ (pow x 2) (+ x y)))))
(+ x (* 1/2 (fabs (- (/ (pow y 2) (+ x y)) (/ (pow x 2) (+ x y))))))
(fabs (- (/ (pow y 2) (+ x y)) (/ (pow x 2) (+ x y))))
(* 1/2 (/ (pow y 2) (fabs (- x y))))
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2))))))
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (- (+ (* -1 (* x (+ (* -2 (/ (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))) (* 3/2 (/ 1 (fabs (- x y))))))) (* -1 (/ y (fabs (- x y))))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2))))))
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (- (+ (* -1 (/ y (fabs (- x y)))) (* x (- (* -2 (/ (* x (+ (* -2 (/ (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))) (* 3/2 (/ 1 (fabs (- x y)))))) (fabs (- x y)))) (+ (* -2 (/ (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))) (* 3/2 (/ 1 (fabs (- x y)))))))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2))))))
(* 1/4 (pow y 2))
(+ (* -1/2 (* x y)) (* 1/4 (pow y 2)))
(+ (* 1/4 (pow y 2)) (* x (+ (* -3/4 x) (* -1/2 y))))
(+ (* 1/4 (pow y 2)) (* x (+ (* -1/2 y) (* 1/4 x))))
(pow y 2)
(+ (* -2 (* x y)) (pow y 2))
(+ (* x (+ x (* -2 y))) (pow y 2))
(* 1/2 (fabs (/ (- (pow y 3) (pow x 3)) (+ (* x (+ x y)) (pow y 2)))))
(+ x (* 1/2 (fabs (/ (- (pow y 3) (pow x 3)) (+ (* x (+ x y)) (pow y 2))))))
(fabs (/ (- (pow y 3) (pow x 3)) (+ (* x (+ x y)) (pow y 2))))
(+ y (* x (- (/ x y) 1)))
(+ y (* x (- (* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) 1)))
(/ (pow x 2) y)
(* (pow x 2) (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(* (pow x 2) (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(* (pow x 2) (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(+ (* -1 x) (* 1/2 (fabs (- x y))))
(pow y 3)
(+ (* -1 (pow x 3)) (pow y 3))
(+ (* x y) (pow y 2))
(+ (* x (+ x y)) (pow y 2))
x
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x))))
(* x (+ 1 (* -1 (/ y x))))
(* -1 x)
(* x (- (/ y x) 1))
(* x (- (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (pow y 2) (pow x 2)))) 1))
(* x (+ 1 (* 1/2 (/ (fabs (- (/ (pow y 2) (+ x y)) (/ (pow x 2) (+ x y)))) x))))
(* 3/4 x)
(* x (- (+ 3/4 (* 1/2 (/ y x))) (* -3/8 (/ (fabs (- x y)) x))))
(* x (- (+ 3/4 (+ (* -1/4 (/ (pow y 2) (pow x 2))) (* 1/2 (/ y x)))) (+ (* -1/2 (/ (* (fabs (- x y)) (- (* 1/2 y) (* -3/8 (fabs (- x y))))) (pow x 2))) (* -3/8 (/ (fabs (- x y)) x)))))
(* x (- (+ 3/4 (+ (* -1/4 (/ (pow y 2) (pow x 2))) (+ (* 1/2 (/ y x)) (* 1/2 (/ (* (fabs (- x y)) (- (* -1/4 (pow y 2)) (* -1/2 (* (fabs (- x y)) (- (* 1/2 y) (* -3/8 (fabs (- x y)))))))) (pow x 3)))))) (+ (* -1/2 (/ (* (fabs (- x y)) (- (* 1/2 y) (* -3/8 (fabs (- x y))))) (pow x 2))) (* -3/8 (/ (fabs (- x y)) x)))))
(* -3/4 (pow x 2))
(* (pow x 2) (- (* -1/2 (/ y x)) 3/4))
(* (pow x 2) (- (+ (* -1/2 (/ y x)) (* 1/4 (/ (pow y 2) (pow x 2)))) 3/4))
(* 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))))))
(pow x 2)
(* (pow x 2) (+ 1 (* -2 (/ y x))))
(* (pow x 2) (+ 1 (+ (* -2 (/ y x)) (/ (pow y 2) (pow x 2)))))
(* x (+ 1 (* 1/2 (/ (fabs (/ (- (pow y 3) (pow x 3)) (+ (* x y) (+ (pow x 2) (pow y 2))))) x))))
(* 1/2 (fabs (/ (- (pow y 3) (pow x 3)) (+ (* x y) (+ (pow x 2) (pow y 2))))))
(fabs (/ (- (pow y 3) (pow x 3)) (+ (* x y) (+ (pow x 2) (pow y 2)))))
(* x (- (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) (pow x 2))) (+ 1 (* -1 (/ y x)))))
(* x (- (/ (* y (+ (* -1 (pow y 2)) (pow y 2))) (pow x 3)) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))))
(/ (pow y 2) x)
(/ (+ (* -1 (/ (pow y 3) x)) (pow y 2)) x)
(/ (- (+ (/ (pow y 4) (pow x 2)) (pow y 2)) (/ (pow y 3) x)) x)
(/ (- (+ (* -1 (/ (pow y 5) (pow x 3))) (pow y 2)) (+ (* -1 (/ (pow y 4) (pow x 2))) (/ (pow y 3) x))) x)
(* x (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)))
(* x (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))
(* x (- (* 1/2 (/ (fabs (- x y)) x)) 1))
(* -1 (pow x 3))
(* (pow x 3) (- (/ (pow y 3) (pow x 3)) 1))
(* (pow x 2) (+ 1 (/ y x)))
(* (pow x 2) (+ 1 (+ (/ y x) (/ (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 (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ y (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) x))) x)))))
(* -1 (* x (- (* -1/2 (/ (fabs (- (/ (pow y 2) (- y (* -1 x))) (/ (pow x 2) (- y (* -1 x))))) x)) 1)))
(* 1/2 (fabs (- (/ (pow y 2) (- y (* -1 x))) (/ (pow x 2) (- y (* -1 x))))))
(fabs (- (/ (pow y 2) (- y (* -1 x))) (/ (pow x 2) (- y (* -1 x)))))
(* -1 (* x (- (* -1 (/ (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x)))))) x)) 3/4)))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (pow y 2)) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x))))))))) x)) (* 1/2 y)) (* -3/8 (fabs (neg (+ y (* -1 x)))))) x)) 3/4)))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/4 (pow y 2)) (* 1/2 (/ (* (fabs (neg (+ y (* -1 x)))) (- (* 1/4 (pow y 2)) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x)))))))))) x))) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x))))))))) x)) (* 1/2 y)) (* -3/8 (fabs (neg (+ y (* -1 x)))))) x)) 3/4)))
(* (pow x 2) (- (* -1 (/ (+ (* -1/4 (/ (pow y 2) x)) (* 1/2 y)) x)) 3/4))
(* (pow x 2) (+ 1/4 (* -1 (/ (+ (* -1/4 (/ (pow y 2) x)) (* 1/2 y)) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow y 2) x)) (* 2 y)) x))))
(* -1 (* x (- (* -1/2 (/ (fabs (/ (+ (* -1 (pow x 3)) (pow y 3)) (+ (* x (- y (* -1 x))) (pow y 2)))) x)) 1)))
(* 1/2 (fabs (/ (+ (* -1 (pow x 3)) (pow y 3)) (+ (* x (- y (* -1 x))) (pow y 2)))))
(fabs (/ (+ (* -1 (pow x 3)) (pow y 3)) (+ (* x (- y (* -1 x))) (pow y 2))))
(* -1 (* x (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x)) (* -1 y)) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (* y (+ (* -1 (pow y 2)) (pow y 2))) x) (+ (* -1 (pow y 2)) (pow y 2))) x)) (* -1 y)) x)))))
(* -1 (/ (+ (* -1 (pow y 2)) (/ (pow y 3) x)) x))
(* -1 (/ (+ (* -1 (/ (- (/ (pow y 4) x) (pow y 3)) x)) (* -1 (pow y 2))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow y 5) x) (pow y 4)) x)) (pow y 3)) x)) (* -1 (pow y 2))) x))
(* -1 (* x (- (* -1 (/ (- (/ (pow y 2) x) y) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x)) y) x)) 1)))
(* -1 (* x (+ 1 (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (pow y 3) (pow x 3))))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 y) (* -1 (/ (pow y 2) x))) x))))
(+ x (* -1 y))
(- y x)
(/ (- (* 1/4 (pow x 2)) (pow x 2)) (- (* 1/2 (fabs (- x y))) x))
(- (+ (* -1/2 (/ (* x y) (- (* 1/2 (fabs (- x y))) x))) (* 1/4 (/ (pow x 2) (- (* 1/2 (fabs (- x y))) x)))) (/ (pow x 2) (- (* 1/2 (fabs (- x y))) x)))
(- (+ (* 1/4 (/ (pow x 2) (- (* 1/2 (fabs (- x y))) x))) (* y (+ (* -1/2 (/ x (- (* 1/2 (fabs (- x y))) x))) (* 1/4 (/ y (- (* 1/2 (fabs (- x y))) x)))))) (/ (pow x 2) (- (* 1/2 (fabs (- x y))) x)))
(- (* 1/4 (pow x 2)) (pow x 2))
(- (+ (* -1/2 (* x y)) (* 1/4 (pow x 2))) (pow x 2))
(- (+ (* 1/4 (pow x 2)) (* y (+ (* -1/2 x) (* 1/4 y)))) (pow x 2))
(+ (* -1/2 (* x y)) (* 1/4 (pow x 2)))
(+ (* 1/4 (pow x 2)) (* y (+ (* -1/2 x) (* 1/4 y))))
(+ (* -2 (* x y)) (pow x 2))
(+ (* y (+ y (* -2 x))) (pow x 2))
(* (pow y 2) (+ (* -1 (/ y (pow x 2))) (/ 1 x)))
(* (pow y 2) (+ (* y (- (/ y (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x)))
(* (pow y 2) (+ (* y (- (* y (+ (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)))
(+ x (* y (- (/ y x) 1)))
(+ x (* y (- (* y (+ (* -1 (/ y (pow x 2))) (/ 1 x))) 1)))
(- (* 1/2 (fabs (- x y))) x)
(- (pow y 3) (pow x 3))
(+ (* x y) (pow x 2))
(+ (* y (+ x y)) (pow x 2))
(* y (- (/ x y) 1))
(* y (+ 1 (* -1 (/ x y))))
(* y (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow y 2)))) (/ x y)))
(* 1/4 (/ (pow y 2) (- (* 1/2 (fabs (- x y))) x)))
(* (pow y 2) (+ (* -1/2 (/ x (* y (- (* 1/2 (fabs (- x y))) x)))) (* 1/4 (/ 1 (- (* 1/2 (fabs (- x y))) x)))))
(* (pow y 2) (- (+ (* -1/2 (/ x (* y (- (* 1/2 (fabs (- x y))) x)))) (+ (* 1/4 (/ (pow x 2) (* (pow y 2) (- (* 1/2 (fabs (- x y))) x)))) (* 1/4 (/ 1 (- (* 1/2 (fabs (- x y))) x))))) (/ (pow x 2) (* (pow y 2) (- (* 1/2 (fabs (- x y))) x)))))
(* (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))))) (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1/4 (+ (* -1/2 (/ x y)) (* 1/4 (/ (pow x 2) (pow y 2))))))
(* (pow y 2) (+ 1 (* -2 (/ x y))))
(* (pow y 2) (+ 1 (+ (* -2 (/ x y)) (/ (pow x 2) (pow y 2)))))
(* y (- (+ 1 (/ (* x (+ (* -1 (pow x 2)) (pow x 2))) (pow y 3))) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (/ x y) (/ (pow x 2) (pow y 2))))))
(* y (- (+ 1 (/ (pow x 2) (pow y 2))) (/ x y)))
(* y (- (+ 1 (* -1 (/ (pow x 3) (pow y 3)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))))
(/ (+ (* -1 (/ (pow x 3) y)) (pow x 2)) y)
(/ (- (+ (/ (pow x 4) (pow y 2)) (pow x 2)) (/ (pow x 3) y)) y)
(/ (- (+ (* -1 (/ (pow x 5) (pow y 3))) (pow x 2)) (+ (* -1 (/ (pow x 4) (pow y 2))) (/ (pow x 3) y))) y)
(* (pow y 3) (+ 1 (* -1 (/ (pow x 3) (pow y 3)))))
(* (pow y 2) (+ 1 (/ x y)))
(* (pow y 2) (+ 1 (+ (/ x y) (/ (pow x 2) (pow y 2)))))
(+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))
(+ x (* 1/2 (fabs (+ x (* -1 y)))))
(fabs (+ x (* -1 y)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* 1/2 (fabs (+ x (* -1 y))))
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (* -1 (/ (- (+ (* -1 (/ (pow x 2) y)) (/ (pow x 2) y)) x) y)) 1)))
(+ x (* 1/2 (fabs (- (/ (pow y 2) (- x (* -1 y))) (/ (pow x 2) (- x (* -1 y)))))))
(* 1/2 (fabs (- (/ (pow y 2) (- x (* -1 y))) (/ (pow x 2) (- x (* -1 y))))))
(fabs (- (/ (pow y 2) (- x (* -1 y))) (/ (pow x 2) (- x (* -1 y)))))
(* 1/4 (/ (pow y 2) (- (* 1/2 (fabs (+ x (* -1 y)))) x)))
(* (pow y 2) (+ (* -1/2 (/ x (* y (- (* 1/2 (fabs (+ x (* -1 y)))) x)))) (* 1/4 (/ 1 (- (* 1/2 (fabs (+ x (* -1 y)))) x)))))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ (- (* 1/4 (/ (pow x 2) (- (* 1/2 (fabs (+ x (* -1 y)))) x))) (/ (pow x 2) (- (* 1/2 (fabs (+ x (* -1 y)))) x))) y)) (* 1/2 (/ x (- (* 1/2 (fabs (+ x (* -1 y)))) x)))) y)) (* 1/4 (/ 1 (- (* 1/2 (fabs (+ x (* -1 y)))) x)))))
(* (pow y 2) (+ 1/4 (* -1 (/ (+ (* -1 (/ (- (* 1/4 (pow x 2)) (pow x 2)) y)) (* 1/2 x)) y))))
(* (pow y 2) (+ 1/4 (* -1 (/ (+ (* -1/4 (/ (pow x 2) y)) (* 1/2 x)) y))))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow x 2) y)) (* 2 x)) y))))
(+ x (* 1/2 (fabs (* -1 (/ (+ (* -1 (pow y 3)) (pow x 3)) (+ (* x (- x (* -1 y))) (pow y 2)))))))
(* 1/2 (fabs (* -1 (/ (+ (* -1 (pow y 3)) (pow x 3)) (+ (* x (- x (* -1 y))) (pow y 2))))))
(fabs (* -1 (/ (+ (* -1 (pow y 3)) (pow x 3)) (+ (* x (- x (* -1 y))) (pow y 2)))))
(* -1 (* y (- (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y)) 1)))
(* -1 (* y (- (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (* x (+ (* -1 (pow x 2)) (pow x 2))) y)) (+ (* -1 (pow x 2)) (pow x 2))) y))) y)) 1)))
(* -1 (* y (- (* -1 (/ (- (/ (pow x 2) y) x) y)) 1)))
(* -1 (* y (- (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y)) x) y)) 1)))
(* -1 (/ (+ (* -1 (pow x 2)) (/ (pow x 3) y)) y))
(* -1 (/ (+ (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (* -1 (pow x 2))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x 5) y) (pow x 4)) y)) (pow x 3)) y)) (* -1 (pow x 2))) y))
(- (* 1/2 (fabs (+ x (* -1 y)))) x)
(* -1 (* (pow y 3) (- (/ (pow x 3) (pow y 3)) 1)))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) y))) 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) (- (/ (* y y) (+ y x)) (/ (* x x) (+ y x))) (+ x (/ (fabs (- (/ (* y y) (+ y x)) (/ (* x x) (+ y x)))) 2)) (/ (fabs (- (/ (* y y) (+ y x)) (/ (* x x) (+ y x)))) 2) (fabs (- (/ (* y y) (+ y x)) (/ (* x x) (+ y x)))) (/ (- (/ (pow (- y x) 2) 4) (* x x)) (- (/ (fabs (- x y)) 2) x)) (- (/ (pow (- y x) 2) 4) (* x x)) (/ (pow (- y x) 2) 4) (pow (- y x) 2) (+ x (/ (fabs (/ (- (pow y 3) (pow x 3)) (+ (* y y) (* x (+ y x))))) 2)) (/ (fabs (/ (- (pow y 3) (pow x 3)) (+ (* y y) (* x (+ y x))))) 2) (fabs (/ (- (pow y 3) (pow x 3)) (+ (* y y) (* x (+ y x))))) (/ (- (pow y 3) (pow x 3)) (+ (* y y) (* x (+ y x)))) (/ (* y y) (+ y x)) (/ (* x x) (+ y x)) (- (/ (fabs (- x y)) 2) x) (- (pow y 3) (pow x 3)) (+ (* y y) (* x (+ y x))))
10.0ms	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) (- (/ (* y y) (+ y x)) (/ (* x x) (+ y x))) (+ x (/ (fabs (- (/ (* y y) (+ y x)) (/ (* x x) (+ y x)))) 2)) (/ (fabs (- (/ (* y y) (+ y x)) (/ (* x x) (+ y x)))) 2) (fabs (- (/ (* y y) (+ y x)) (/ (* x x) (+ y x)))) (/ (- (/ (pow (- y x) 2) 4) (* x x)) (- (/ (fabs (- x y)) 2) x)) (- (/ (pow (- y x) 2) 4) (* x x)) (/ (pow (- y x) 2) 4) (pow (- y x) 2) (+ x (/ (fabs (/ (- (pow y 3) (pow x 3)) (+ (* y y) (* x (+ y x))))) 2)) (/ (fabs (/ (- (pow y 3) (pow x 3)) (+ (* y y) (* x (+ y x))))) 2) (fabs (/ (- (pow y 3) (pow x 3)) (+ (* y y) (* x (+ y x))))) (/ (- (pow y 3) (pow x 3)) (+ (* y y) (* x (+ y x)))) (/ (* y y) (+ y x)) (/ (* x x) (+ y x)) (- (/ (fabs (- x y)) 2) x) (- (pow y 3) (pow x 3)) (+ (* y y) (* x (+ y x))))
10.0ms	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) (- (/ (* y y) (+ y x)) (/ (* x x) (+ y x))) (+ x (/ (fabs (- (/ (* y y) (+ y x)) (/ (* x x) (+ y x)))) 2)) (/ (fabs (- (/ (* y y) (+ y x)) (/ (* x x) (+ y x)))) 2) (fabs (- (/ (* y y) (+ y x)) (/ (* x x) (+ y x)))) (/ (- (/ (pow (- y x) 2) 4) (* x x)) (- (/ (fabs (- x y)) 2) x)) (- (/ (pow (- y x) 2) 4) (* x x)) (/ (pow (- y x) 2) 4) (pow (- y x) 2) (+ x (/ (fabs (/ (- (pow y 3) (pow x 3)) (+ (* y y) (* x (+ y x))))) 2)) (/ (fabs (/ (- (pow y 3) (pow x 3)) (+ (* y y) (* x (+ y x))))) 2) (fabs (/ (- (pow y 3) (pow x 3)) (+ (* y y) (* x (+ y x))))) (/ (- (pow y 3) (pow x 3)) (+ (* y y) (* x (+ y x)))) (/ (* y y) (+ y x)) (/ (* x x) (+ y x)) (- (/ (fabs (- x y)) 2) x) (- (pow y 3) (pow x 3)) (+ (* y y) (* x (+ y 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) (- (/ (* y y) (+ y x)) (/ (* x x) (+ y x))) (+ x (/ (fabs (- (/ (* y y) (+ y x)) (/ (* x x) (+ y x)))) 2)) (/ (fabs (- (/ (* y y) (+ y x)) (/ (* x x) (+ y x)))) 2) (fabs (- (/ (* y y) (+ y x)) (/ (* x x) (+ y x)))) (/ (- (/ (pow (- y x) 2) 4) (* x x)) (- (/ (fabs (- x y)) 2) x)) (- (/ (pow (- y x) 2) 4) (* x x)) (/ (pow (- y x) 2) 4) (pow (- y x) 2) (+ x (/ (fabs (/ (- (pow y 3) (pow x 3)) (+ (* y y) (* x (+ y x))))) 2)) (/ (fabs (/ (- (pow y 3) (pow x 3)) (+ (* y y) (* x (+ y x))))) 2) (fabs (/ (- (pow y 3) (pow x 3)) (+ (* y y) (* x (+ y x))))) (/ (- (pow y 3) (pow x 3)) (+ (* y y) (* x (+ y x)))) (/ (* y y) (+ y x)) (/ (* x x) (+ y x)) (- (/ (fabs (- x y)) 2) x) (- (pow y 3) (pow x 3)) (+ (* y y) (* x (+ y x))))
5.0ms	x	@	-inf	((+ x (/ (fabs (- y x)) 2)) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (+ x (/ (fabs (- y x)) 2)) (* (fabs (- x y)) 1/2) (- (/ (* y y) (+ y x)) (/ (* x x) (+ y x))) (+ x (/ (fabs (- (/ (* y y) (+ y x)) (/ (* x x) (+ y x)))) 2)) (/ (fabs (- (/ (* y y) (+ y x)) (/ (* x x) (+ y x)))) 2) (fabs (- (/ (* y y) (+ y x)) (/ (* x x) (+ y x)))) (/ (- (/ (pow (- y x) 2) 4) (* x x)) (- (/ (fabs (- x y)) 2) x)) (- (/ (pow (- y x) 2) 4) (* x x)) (/ (pow (- y x) 2) 4) (pow (- y x) 2) (+ x (/ (fabs (/ (- (pow y 3) (pow x 3)) (+ (* y y) (* x (+ y x))))) 2)) (/ (fabs (/ (- (pow y 3) (pow x 3)) (+ (* y y) (* x (+ y x))))) 2) (fabs (/ (- (pow y 3) (pow x 3)) (+ (* y y) (* x (+ y x))))) (/ (- (pow y 3) (pow x 3)) (+ (* y y) (* x (+ y x)))) (/ (* y y) (+ y x)) (/ (* x x) (+ y x)) (- (/ (fabs (- x y)) 2) x) (- (pow y 3) (pow x 3)) (+ (* y y) (* x (+ y x))))

simplify332.0ms (5.7%)

Memory

14.2MiB live, 294.8MiB allocated; 114ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	690	3027
1	2203	2750
0	8005	2612

Stop Event

1×	iter limit
1×	node limit

Counts

173 → 171

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

rewrite198.0ms (3.4%)

Memory

-11.5MiB live, 180.9MiB allocated; 62ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	273
0	70	163
1	305	146
0	2582	146

Stop Event

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

Counts

23 → 650

Calls

Call 1

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

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

eval110.0ms (1.9%)

Memory: 14.3MiB live, 300.6MiB allocated; 33ms collecting garbage
Compiler: Compiled 23 064 to 3 014 computations (86.9% saved)

prune62.0ms (1.1%)

Memory

22.9MiB live, 68.7MiB allocated; 3ms collecting garbage

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	663	10	673
Fresh	1	0	1
Picked	4	1	5
Done	0	0	0
Total	668	11	679

Accuracy

100.0%

Counts

679 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	55.3%	(/.f64 (fma.f64 (neg.f64 x) x (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (/.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) x))
▶	28.0%	(/.f64 #s(approx (- (/ (pow (- y x) 2) 4) (* x x)) (.f64 (fma.f64 #s(literal -1/2 binary64) x (.f64 #s(literal 1/4 binary64) y)) y)) (-.f64 (/.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) x))
	18.8%	(+.f64 x (/.f64 (fabs.f64 (/.f64 #s(approx (- (pow y 3) (pow x 3)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 y y (*.f64 x (+.f64 y x))))) #s(literal 2 binary64)))
	31.4%	#s(approx (/ (- (/ (pow (- y x) 2) 4) (* x x)) (- (/ (fabs (- x y)) 2) x)) (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (.f64 (neg.f64 x) x)) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x))))
▶	12.1%	#s(approx (/ (- (/ (pow (- y x) 2) 4) (* x x)) (- (/ (fabs (- x y)) 2) x)) (*.f64 #s(literal 3/4 binary64) x))
	51.3%	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))
▶	54.4%	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (*.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y))) #s(literal 1/2 binary64) x))
✓	99.9%	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x))
▶	56.6%	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x))
	24.7%	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 y x) #s(literal 1/2 binary64)))
▶	48.2%	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64)))

Compiler

Compiled 466 to 328 computations (29.6% saved)

simplify172.0ms (3%)

Memory

-33.7MiB live, 254.5MiB allocated; 27ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (fma.f64 #s(literal -1/2 binary64) x (.f64 #s(literal 1/4 binary64) y)) y)
cost-diff	0	#s(approx (- (/ (pow (- y x) 2) 4) (* x x)) (.f64 (fma.f64 #s(literal -1/2 binary64) x (.f64 #s(literal 1/4 binary64) y)) y))
cost-diff	0	(/.f64 #s(approx (- (/ (pow (- y x) 2) 4) (* x x)) (.f64 (fma.f64 #s(literal -1/2 binary64) x (.f64 #s(literal 1/4 binary64) y)) y)) (-.f64 (/.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) x))
cost-diff	1	(fabs.f64 (-.f64 x y))
cost-diff	0	(sqrt.f64 (-.f64 x y))
cost-diff	0	(fma.f64 (*.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y))) #s(literal 1/2 binary64) x)
cost-diff	0	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (*.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y))) #s(literal 1/2 binary64) x))
cost-diff	6	(*.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x 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 3/4 binary64) x)
cost-diff	0	#s(approx (/ (- (/ (pow (- y x) 2) 4) (* x x)) (- (/ (fabs (- x y)) 2) x)) (*.f64 #s(literal 3/4 binary64) x))
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	43	264
0	62	245
1	103	238
2	209	238
3	512	238
4	1079	238
5	1762	235
6	4414	235
0	8510	233

Stop Event

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

Calls

Call 1

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

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

localize169.0ms (2.9%)

Memory

7.5MiB live, 198.6MiB allocated; 29ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0	(fabs.f64 (-.f64 x y))
accuracy	0.00390625	(.f64 (fma.f64 #s(literal -1/2 binary64) x (.f64 #s(literal 1/4 binary64) y)) y)
accuracy	14.285332155948025	(/.f64 #s(approx (- (/ (pow (- y x) 2) 4) (* x x)) (.f64 (fma.f64 #s(literal -1/2 binary64) x (.f64 #s(literal 1/4 binary64) y)) y)) (-.f64 (/.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) x))
accuracy	17.35465734840259	#s(approx (- (/ (pow (- y x) 2) 4) (* x x)) (.f64 (fma.f64 #s(literal -1/2 binary64) x (.f64 #s(literal 1/4 binary64) y)) y))
accuracy	0.0	(sqrt.f64 (-.f64 x y))
accuracy	0.0	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (*.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y))) #s(literal 1/2 binary64) x))
accuracy	0.046875	(fma.f64 (*.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y))) #s(literal 1/2 binary64) x)
accuracy	0.27734375	(*.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y)))
accuracy	0.0	(neg.f64 y)
accuracy	0.0	(fabs.f64 #s(approx (- x y) (neg.f64 y)))
accuracy	16.973634680551104	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64)))
accuracy	19.87092101860405	#s(approx (- x y) (neg.f64 y))
accuracy	0.0	(*.f64 #s(literal 3/4 binary64) x)
accuracy	30.623067174946723	#s(approx (/ (- (/ (pow (- y x) 2) 4) (* x x)) (- (/ (fabs (- x y)) 2) x)) (*.f64 #s(literal 3/4 binary64) x))
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	0.046875	(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x)
accuracy	19.87092101860405	#s(approx (- x y) (neg.f64 y))

Samples

84.0ms	119×	0	valid
47.0ms	116×	0	invalid
6.0ms	6×	3	valid
5.0ms	7×	2	valid
4.0ms	8×	1	valid

Compiler

Compiled 196 to 35 computations (82.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-div: 15.0ms (28.5% of total)

ival-mult: 12.0ms (22.8% of total)

ival-sub: 6.0ms (11.4% of total)

ival-add: 5.0ms (9.5% of total)

adjust: 4.0ms (7.6% of total)

ival-pow2: 3.0ms (5.7% of total)

ival-fabs: 3.0ms (5.7% of total)

ival-sqrt: 2.0ms (3.8% of total)

exact: 1.0ms (1.9% of total)

ival-neg: 1.0ms (1.9% of total)

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

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

series24.0ms (0.4%)

Memory

5.5MiB live, 51.1MiB allocated; 7ms collecting garbage

Counts

17 → 94

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

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	y	@	-inf	((+ x (/ (fabs (- y x)) 2)) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (/ (- (/ (pow (- y x) 2) 4) (* x x)) (- (/ (fabs (- x y)) 2) x)) (* 3/4 x) (+ x (/ (fabs (- y x)) 2)) (* (fabs (- x y)) 1/2) (* (sqrt (- x y)) (sqrt (- x y))) (+ x (/ (fabs (- y x)) 2)) (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (sqrt (- x y)) (fabs (- x y)) (/ (- (/ (pow (- y x) 2) 4) (* x x)) (- (/ (fabs (- x y)) 2) x)) (- (/ (pow (- y x) 2) 4) (* x x)) (* (+ (* -1/2 x) (* 1/4 y)) y) (neg y))
6.0ms	y	@	0	((+ x (/ (fabs (- y x)) 2)) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (/ (- (/ (pow (- y x) 2) 4) (* x x)) (- (/ (fabs (- x y)) 2) x)) (* 3/4 x) (+ x (/ (fabs (- y x)) 2)) (* (fabs (- x y)) 1/2) (* (sqrt (- x y)) (sqrt (- x y))) (+ x (/ (fabs (- y x)) 2)) (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (sqrt (- x y)) (fabs (- x y)) (/ (- (/ (pow (- y x) 2) 4) (* x x)) (- (/ (fabs (- x y)) 2) x)) (- (/ (pow (- y x) 2) 4) (* x x)) (* (+ (* -1/2 x) (* 1/4 y)) y) (neg y))
3.0ms	x	@	-inf	((+ x (/ (fabs (- y x)) 2)) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (/ (- (/ (pow (- y x) 2) 4) (* x x)) (- (/ (fabs (- x y)) 2) x)) (* 3/4 x) (+ x (/ (fabs (- y x)) 2)) (* (fabs (- x y)) 1/2) (* (sqrt (- x y)) (sqrt (- x y))) (+ x (/ (fabs (- y x)) 2)) (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (sqrt (- x y)) (fabs (- x y)) (/ (- (/ (pow (- y x) 2) 4) (* x x)) (- (/ (fabs (- x y)) 2) x)) (- (/ (pow (- y x) 2) 4) (* x x)) (* (+ (* -1/2 x) (* 1/4 y)) y) (neg y))
2.0ms	y	@	inf	((+ x (/ (fabs (- y x)) 2)) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (/ (- (/ (pow (- y x) 2) 4) (* x x)) (- (/ (fabs (- x y)) 2) x)) (* 3/4 x) (+ x (/ (fabs (- y x)) 2)) (* (fabs (- x y)) 1/2) (* (sqrt (- x y)) (sqrt (- x y))) (+ x (/ (fabs (- y x)) 2)) (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (sqrt (- x y)) (fabs (- x y)) (/ (- (/ (pow (- y x) 2) 4) (* x x)) (- (/ (fabs (- x y)) 2) x)) (- (/ (pow (- y x) 2) 4) (* x x)) (* (+ (* -1/2 x) (* 1/4 y)) y) (neg y))
2.0ms	x	@	inf	((+ x (/ (fabs (- y x)) 2)) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (/ (- (/ (pow (- y x) 2) 4) (* x x)) (- (/ (fabs (- x y)) 2) x)) (* 3/4 x) (+ x (/ (fabs (- y x)) 2)) (* (fabs (- x y)) 1/2) (* (sqrt (- x y)) (sqrt (- x y))) (+ x (/ (fabs (- y x)) 2)) (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (sqrt (- x y)) (fabs (- x y)) (/ (- (/ (pow (- y x) 2) 4) (* x x)) (- (/ (fabs (- x y)) 2) x)) (- (/ (pow (- y x) 2) 4) (* x x)) (* (+ (* -1/2 x) (* 1/4 y)) y) (neg y))

simplify195.0ms (3.3%)

Memory

6.0MiB live, 234.3MiB allocated; 29ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	453	1981
1	1435	1830
2	5760	1790
0	8179	1684

Stop Event

1×	iter limit
1×	node limit

Counts

94 → 93

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

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

rewrite82.0ms (1.4%)

Memory

6.3MiB live, 111.0MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	43	205
0	62	181
1	221	169
0	1555	169

Stop Event

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

Counts

17 → 143

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

eval87.0ms (1.5%)

Memory: 13.2MiB live, 59.3MiB allocated; 4ms collecting garbage
Compiler: Compiled 7 895 to 1 036 computations (86.9% saved)

prune20.0ms (0.4%)

Memory

-8.9MiB live, 37.2MiB allocated; 3ms collecting garbage

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	229	8	237
Fresh	3	2	5
Picked	4	1	5
Done	1	0	1
Total	237	11	248

Accuracy

100.0%

Counts

248 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	31.4%	(/.f64 #s(approx (- (/ (pow (- y x) 2) 4) (* x x)) (.f64 (.f64 x x) #s(literal -3/4 binary64))) (-.f64 (/.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) x))
✓	12.1%	#s(approx (/ (- (/ (pow (- y x) 2) 4) (* x x)) (- (/ (fabs (- x y)) 2) x)) (*.f64 #s(literal 3/4 binary64) x))
▶	51.3%	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))
	58.7%	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x))
	27.2%	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (.f64 (sqrt.f64 (-.f64 x y)) #s(approx (sqrt (- x y)) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal -1/2 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x))) #s(literal 1/2 binary64) x))
▶	32.2%	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (*.f64 (sqrt.f64 (-.f64 x y)) #s(approx (sqrt (- x y)) (sqrt.f64 x))) #s(literal 1/2 binary64) x))
▶	24.7%	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 y x) #s(literal 1/2 binary64)))
▶	58.8%	#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x))))
	49.8%	#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (*.f64 (fma.f64 (/.f64 x y) #s(literal 3/2 binary64) #s(literal -1/2 binary64)) y)))
	37.0%	#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (*.f64 #s(literal 3/2 binary64) x)))
▶	24.6%	#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (*.f64 #s(literal -1/2 binary64) y)))

Compiler

Compiled 512 to 355 computations (30.7% saved)

simplify165.0ms (2.8%)

Memory

32.7MiB live, 172.0MiB allocated; 18ms collecting garbage

Localize:

Found 17 expressions of interest:

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

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	34	232
0	47	208
1	76	203
2	139	203
3	308	203
4	515	203
5	702	203
6	2560	194
7	7899	194
0	8024	194

Stop Event

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

Calls

Call 1

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

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

localize230.0ms (3.9%)

Memory

-45.6MiB live, 118.9MiB allocated; 146ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (*.f64 (sqrt.f64 (-.f64 x y)) #s(approx (sqrt (- x y)) (sqrt.f64 x))) #s(literal 1/2 binary64) x))
accuracy	0.04296875	(fma.f64 (*.f64 (sqrt.f64 (-.f64 x y)) #s(approx (sqrt (- x y)) (sqrt.f64 x))) #s(literal 1/2 binary64) x)
accuracy	0.23046875	(*.f64 (sqrt.f64 (-.f64 x y)) #s(approx (sqrt (- x y)) (sqrt.f64 x)))
accuracy	7.3150012168626155	#s(approx (sqrt (- x y)) (sqrt.f64 x))
accuracy	0.0	(fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)
accuracy	0.0	(-.f64 y x)
accuracy	24.25025227057056	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))
accuracy	0.0	(-.f64 y x)
accuracy	0.0	(*.f64 (-.f64 y x) #s(literal 1/2 binary64))
accuracy	27.624359995945575	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 y x) #s(literal 1/2 binary64)))
accuracy	0.0	(*.f64 #s(literal -1/2 binary64) y)
accuracy	0.0	#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (*.f64 #s(literal -1/2 binary64) y)))
accuracy	19.77334467631848	#s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (*.f64 #s(literal -1/2 binary64) y))
accuracy	0.0	(*.f64 #s(literal 3/2 binary64) x)
accuracy	0.0	#s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x)))
accuracy	0.0	#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x))))
accuracy	0.04296875	(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x))

Samples

127.0ms	7×	2	valid
60.0ms	91×	0	valid
20.0ms	144×	0	invalid
4.0ms	6×	3	valid
3.0ms	8×	1	valid

Compiler

Compiled 149 to 23 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 198.0ms

adjust: 127.0ms (64.3% of total)

ival-mult: 45.0ms (22.8% of total)

ival-add: 15.0ms (7.6% of total)

ival-sqrt: 4.0ms (2% of total)

ival-sub: 3.0ms (1.5% of total)

ival-div: 2.0ms (1% of total)

ival-fabs: 2.0ms (1% of total)

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

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

exact: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory

18.2MiB live, 18.2MiB allocated; 0ms collecting garbage

Counts

17 → 72

Calls

Call 1

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

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

Calls

6 calls:

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

simplify252.0ms (4.3%)

Memory

-21.6MiB live, 209.9MiB allocated; 62ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	273	978
1	890	923
2	3733	912
0	8769	856

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 70

Calls

Call 1

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

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

rewrite100.0ms (1.7%)

Memory

-9.4MiB live, 93.5MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	209
0	47	185
1	160	180
0	1174	176

Stop Event

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

Counts

17 → 93

Calls

Call 1

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

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

eval16.0ms (0.3%)

Memory: 27.5MiB live, 27.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 5 002 to 679 computations (86.4% saved)

prune53.0ms (0.9%)

Memory

-17.1MiB live, 26.3MiB allocated; 11ms collecting garbage

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	148	5	153
Fresh	3	2	5
Picked	4	1	5
Done	1	0	1
Total	156	8	164

Accuracy

100.0%

Counts

164 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	58.7%	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x))
	33.2%	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 #s(approx (* (sqrt (- x y)) (sqrt (- x y))) (neg.f64 y)) #s(literal 1/2 binary64) x))
	51.3%	#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* (- y x) 1/2) x) (*.f64 (+.f64 y x) #s(literal 1/2 binary64))))
	28.6%	#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* (- y x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)))
	58.8%	#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (fma.f64 x #s(literal 3/2 binary64) (*.f64 #s(literal -1/2 binary64) y))))
	37.0%	#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (*.f64 #s(literal 3/2 binary64) x)))
✓	24.6%	#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (*.f64 #s(literal -1/2 binary64) y)))
	26.0%	#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- y x) 1/2) (*.f64 #s(literal 1/2 binary64) y)))

Compiler

Compiled 864 to 283 computations (67.2% saved)

regimes27.0ms (0.5%)

Memory

28.8MiB live, 28.8MiB allocated; 0ms collecting garbage

Counts

30 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes37.0ms (0.6%)

Memory

-21.5MiB live, 23.5MiB allocated; 6ms collecting garbage

Counts

15 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

27.0ms	x
5.0ms	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
5.0ms	y

Results

Accuracy	Segments	Branch
78.4%	3	`(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))`
83.9%	3	`x`
79.7%	2	`y`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes5.0ms (0.1%)

Memory

12.2MiB live, 12.2MiB allocated; 0ms collecting garbage

Counts

14 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
83.9%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes4.0ms (0.1%)

Memory

12.1MiB live, 12.1MiB allocated; 0ms collecting garbage

Counts

12 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
83.2%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes9.0ms (0.1%)

Memory

-29.9MiB live, 12.3MiB allocated; 8ms collecting garbage

Counts

11 → 3

Calls

Call 1

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

Outputs

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
82.2%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes7.0ms (0.1%)

Memory

20.7MiB live, 20.7MiB allocated; 0ms collecting garbage

Counts

9 → 3

Calls

Call 1

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

Outputs

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

Calls

2 calls:

3.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
71.9%	3	`y`
80.9%	3	`x`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes18.0ms (0.3%)

Memory

-30.4MiB live, 24.2MiB allocated; 18ms collecting garbage

Counts

8 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

11.0ms	y
3.0ms	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
3.0ms	x

Results

Accuracy	Segments	Branch
71.9%	3	`y`
60.6%	4	`(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))`
67.7%	2	`x`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes3.0ms (0.1%)

Memory

3.3MiB live, 3.3MiB allocated; 0ms collecting garbage

Counts

7 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
70.3%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes5.0ms (0.1%)

Memory

14.4MiB live, 14.4MiB allocated; 0ms collecting garbage

Counts

5 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
63.3%	4	`x`
62.6%	3	`y`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes4.0ms (0.1%)

Memory

13.0MiB live, 13.0MiB allocated; 0ms collecting garbage

Counts

2 → 2

Calls

Call 1

Inputs

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

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
31.0%	3	`(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))`
29.2%	2	`x`
48.2%	2	`y`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes3.0ms (0.1%)

Memory

13.9MiB live, 13.9MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
26.0%	1	`x`
26.0%	1	`(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))`
26.0%	1	`y`

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch27.0ms (0.5%)

Memory

-9.4MiB live, 33.8MiB allocated; 6ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	45328385903.18725	161360858493288830.0
11.0ms	-3.5971208250030386e-107	-1.0006491975221837e-107

Samples

13.0ms	205×	0	valid
2.0ms	10×	2	valid
1.0ms	9×	1	valid

Compiler

Compiled 648 to 482 computations (25.6% saved)

Precisions

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

ival-sub: 5.0ms (47.8% of total)

ival-div: 2.0ms (19.1% of total)

adjust: 1.0ms (9.6% of total)

ival-add: 1.0ms (9.6% of total)

ival-fabs: 1.0ms (9.6% of total)

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

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

exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	45328385903.18725	161360858493288830.0
1.0ms	-3.5971208250030386e-107	-1.0006491975221837e-107

Compiler

Compiled 522 to 410 computations (21.5% saved)

bsearch2.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	45328385903.18725	161360858493288830.0
1.0ms	-3.5971208250030386e-107	-1.0006491975221837e-107

Compiler

Compiled 466 to 382 computations (18% saved)

bsearch12.0ms (0.2%)

Memory

7.2MiB live, 7.2MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	45328385903.18725	161360858493288830.0
1.0ms	-3.5971208250030386e-107	-1.0006491975221837e-107

Samples

5.0ms

112×

valid

Compiler

Compiled 508 to 410 computations (19.3% saved)

Precisions

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

ival-sub: 1.0ms (37.6% of total)

ival-div: 1.0ms (37.6% of total)

ival-add: 1.0ms (37.6% of total)

ival-fabs: 1.0ms (37.6% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

bsearch44.0ms (0.8%)

Memory

-38.6MiB live, 6.8MiB allocated; 9ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
42.0ms	45328385903.18725	161360858493288830.0
1.0ms	-3.5971208250030386e-107	-1.0006491975221837e-107

Samples

38.0ms	2×	1	valid
1.0ms	29×	0	valid
0.0ms	1×	2	valid

Compiler

Compiled 607 to 464 computations (23.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-add: 38.0ms (97.1% of total)

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

adjust: 0.0ms (0% of total)

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

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

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

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

exact: 0.0ms (0% of total)

bsearch25.0ms (0.4%)

Memory

46.2MiB live, 46.2MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	9.567241289898626e-269	2.90305365623289e-266
11.0ms	-2.9126828697864814e-75	-1.3417502168521084e-76

Samples

10.0ms	221×	0	valid
1.0ms	12×	1	valid
1.0ms	4×	2	valid
1.0ms	3×	3	valid

Compiler

Compiled 745 to 522 computations (29.9% saved)

Precisions

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

ival-div: 2.0ms (27.6% of total)

ival-sub: 2.0ms (27.6% of total)

adjust: 1.0ms (13.8% of total)

ival-fabs: 1.0ms (13.8% of total)

ival-add: 1.0ms (13.8% of total)

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

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

exact: 0.0ms (0% of total)

bsearch28.0ms (0.5%)

Memory

-6.7MiB live, 37.4MiB allocated; 9ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	9.567241289898626e-269	2.90305365623289e-266
12.0ms	-4.535793645864619e-71	-4.552568996280161e-75

Samples

6.0ms	119×	0	valid
1.0ms	5×	1	valid
0.0ms	3×	2	valid
0.0ms	1×	3	valid

Compiler

Compiled 811 to 572 computations (29.5% saved)

Precisions

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

ival-div: 1.0ms (25.6% of total)

ival-sub: 1.0ms (25.6% of total)

ival-fabs: 1.0ms (25.6% of total)

ival-add: 1.0ms (25.6% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

bsearch26.0ms (0.5%)

Memory

-34.2MiB live, 29.5MiB allocated; 19ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
23.0ms	1.6675314844397637e-11	8.039244115078624
1.0ms	-4.535793645864619e-71	-4.552568996280161e-75

Samples

7.0ms	157×	0	valid
1.0ms	3×	2	valid

Compiler

Compiled 867 to 620 computations (28.5% saved)

Precisions

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

ival-div: 1.0ms (22.5% of total)

ival-sub: 1.0ms (22.5% of total)

ival-add: 1.0ms (22.5% of total)

ival-fabs: 1.0ms (22.5% 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)

bsearch20.0ms (0.3%)

Memory

-11.2MiB live, 33.4MiB allocated; 7ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	1.5008467044136919e-298	2.863987710962858e-288

Samples

10.0ms	151×	0	valid
1.0ms	5×	3	valid
0.0ms	3×	1	valid
0.0ms	1×	2	valid

Compiler

Compiled 451 to 332 computations (26.4% saved)

Precisions

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

adjust: 1.0ms (20.6% of total)

ival-div: 1.0ms (20.6% of total)

ival-sub: 1.0ms (20.6% of total)

ival-fabs: 1.0ms (20.6% of total)

ival-add: 1.0ms (20.6% of total)

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

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

exact: 0.0ms (0% of total)

simplify56.0ms (1%)

Memory

13.7MiB live, 59.1MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	85	607
1	115	579
2	169	579
3	321	579
4	541	579
5	1054	579
6	4478	579

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 -7436879648890297/330527984395124299475957654016385519914202341482140609642324397637202895618155672912594605219857642423795606012511679152128 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* (- y x) 1/2) x) (.f64 (+.f64 y x) #s(literal 1/2 binary64)))) (if (<=.f64 x #s(literal 1950000000000 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)) #s(approx (+ ( (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (fma.f64 x #s(literal 3/2 binary64) (*.f64 #s(literal -1/2 binary64) y))))))
(if (<=.f64 x #s(literal -7436879648890297/330527984395124299475957654016385519914202341482140609642324397637202895618155672912594605219857642423795606012511679152128 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* (- y x) 1/2) x) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))) (if (<=.f64 x #s(literal 1950000000000 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 (-.f64 x y) #s(literal 1/2 binary64) x))))
(if (<=.f64 x #s(literal -7436879648890297/330527984395124299475957654016385519914202341482140609642324397637202895618155672912594605219857642423795606012511679152128 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* (- y x) 1/2) x) (.f64 (+.f64 y x) #s(literal 1/2 binary64)))) (if (<=.f64 x #s(literal 1950000000000 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))) #s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x))))
(if (<=.f64 x #s(literal -7436879648890297/330527984395124299475957654016385519914202341482140609642324397637202895618155672912594605219857642423795606012511679152128 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* (- y x) 1/2) x) (.f64 (+.f64 y x) #s(literal 1/2 binary64)))) (if (<=.f64 x #s(literal 46000000000 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 (+ x (/ (fabs (- y x)) 2)) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x))))
(if (<=.f64 x #s(literal -7436879648890297/330527984395124299475957654016385519914202341482140609642324397637202895618155672912594605219857642423795606012511679152128 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* (- y x) 1/2) x) (.f64 (+.f64 y x) #s(literal 1/2 binary64)))) (if (<=.f64 x #s(literal 2200000000000 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 (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (*.f64 #s(literal 3/2 binary64) x)))))
(if (<=.f64 y #s(literal -2199998854441245/16296287810675888690147565507275025288411747149327490005089123594835050398106693649467179008 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 #s(approx (* (sqrt (- x y)) (sqrt (- x y))) (neg.f64 y)) #s(literal 1/2 binary64) x)) (if (<=.f64 y #s(literal 836447011018753/4646927838993072071243945306718439250410188130185607684549287060362314553626263667328650982800488595593121011844353040782670578892327830336846345565944983205571783876398312106070895030732180427719497486819848241268961714708993375275490934188589556509412640954544199727574266715045888 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (.f64 #s(literal 3/2 binary64) x))) #s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ ( (- y x) 1/2) x) (*.f64 (+.f64 y x) #s(literal 1/2 binary64))))))
(if (<=.f64 y #s(literal -3246526087283087/31828687130226345097944463881396533766429193651030253916189694521162207808802136034115584 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (.f64 #s(literal -1/2 binary64) y))) (if (<=.f64 y #s(literal 836447011018753/4646927838993072071243945306718439250410188130185607684549287060362314553626263667328650982800488595593121011844353040782670578892327830336846345565944983205571783876398312106070895030732180427719497486819848241268961714708993375275490934188589556509412640954544199727574266715045888 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ ( (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (.f64 #s(literal 3/2 binary64) x))) #s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ ( (- y x) 1/2) x) (*.f64 (+.f64 y x) #s(literal 1/2 binary64))))))
(if (<=.f64 y #s(literal -3246526087283087/31828687130226345097944463881396533766429193651030253916189694521162207808802136034115584 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (.f64 #s(literal -1/2 binary64) y))) (if (<=.f64 y #s(literal 1450710983537555/1208925819614629174706176 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ ( (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (.f64 #s(literal 3/2 binary64) x))) #s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx ( (- y x) 1/2) (*.f64 #s(literal 1/2 binary64) y)))))
(if (<=.f64 y #s(literal 7550311166421727/719077253944926363091722076315609893447190791576922629093720324630930703222003852530833909289630144084480455519485573430635159075257666489971389722557896497511071573699461941105208878404984376477812331808340023075352602729369851525895652442163308948653402042738345192959788983753918865219341425318496896548864 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (.f64 #s(literal -1/2 binary64) y))) #s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx ( (- y x) 1/2) (*.f64 #s(literal 1/2 binary64) y))))
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- y x) 1/2) (*.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 -7436879648890297/330527984395124299475957654016385519914202341482140609642324397637202895618155672912594605219857642423795606012511679152128 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* (- y x) 1/2) x) (.f64 (+.f64 y x) #s(literal 1/2 binary64)))) (if (<=.f64 x #s(literal 1950000000000 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)) #s(approx (+ ( (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (fma.f64 x #s(literal 3/2 binary64) (*.f64 #s(literal -1/2 binary64) y))))))
(if (<=.f64 x #s(literal -7436879648890297/330527984395124299475957654016385519914202341482140609642324397637202895618155672912594605219857642423795606012511679152128 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* (- y x) 1/2) x) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))) (if (<=.f64 x #s(literal 1950000000000 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 (-.f64 x y) #s(literal 1/2 binary64) x))))
(if (<=.f64 x #s(literal -7436879648890297/330527984395124299475957654016385519914202341482140609642324397637202895618155672912594605219857642423795606012511679152128 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* (- y x) 1/2) x) (.f64 (+.f64 y x) #s(literal 1/2 binary64)))) (if (<=.f64 x #s(literal 1950000000000 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))) #s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x))))
(if (<=.f64 x #s(literal -7436879648890297/330527984395124299475957654016385519914202341482140609642324397637202895618155672912594605219857642423795606012511679152128 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* (- y x) 1/2) x) (.f64 (+.f64 y x) #s(literal 1/2 binary64)))) (if (<=.f64 x #s(literal 1950000000000 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))) #s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x))))
(if (<=.f64 x #s(literal -7436879648890297/330527984395124299475957654016385519914202341482140609642324397637202895618155672912594605219857642423795606012511679152128 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* (- y x) 1/2) x) (.f64 (+.f64 y x) #s(literal 1/2 binary64)))) (if (<=.f64 x #s(literal 46000000000 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 (+ x (/ (fabs (- y x)) 2)) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x))))
(if (<=.f64 x #s(literal -7436879648890297/330527984395124299475957654016385519914202341482140609642324397637202895618155672912594605219857642423795606012511679152128 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* (- y x) 1/2) x) (.f64 (+.f64 y x) #s(literal 1/2 binary64)))) (if (<=.f64 x #s(literal 2200000000000 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 (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (*.f64 #s(literal 3/2 binary64) x)))))
(if (<=.f64 y #s(literal -2199998854441245/16296287810675888690147565507275025288411747149327490005089123594835050398106693649467179008 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 #s(approx (* (sqrt (- x y)) (sqrt (- x y))) (neg.f64 y)) #s(literal 1/2 binary64) x)) (if (<=.f64 y #s(literal 836447011018753/4646927838993072071243945306718439250410188130185607684549287060362314553626263667328650982800488595593121011844353040782670578892327830336846345565944983205571783876398312106070895030732180427719497486819848241268961714708993375275490934188589556509412640954544199727574266715045888 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (.f64 #s(literal 3/2 binary64) x))) #s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ ( (- y x) 1/2) x) (*.f64 (+.f64 y x) #s(literal 1/2 binary64))))))
(if (<=.f64 y #s(literal -2199998854441245/16296287810675888690147565507275025288411747149327490005089123594835050398106693649467179008 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 #s(approx (- x y) (neg.f64 y)) #s(literal 1/2 binary64) x)) (if (<=.f64 y #s(literal 836447011018753/4646927838993072071243945306718439250410188130185607684549287060362314553626263667328650982800488595593121011844353040782670578892327830336846345565944983205571783876398312106070895030732180427719497486819848241268961714708993375275490934188589556509412640954544199727574266715045888 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (.f64 #s(literal 3/2 binary64) x))) #s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ ( (- y x) 1/2) x) (*.f64 (+.f64 y x) #s(literal 1/2 binary64))))))
(if (<=.f64 y #s(literal -3246526087283087/31828687130226345097944463881396533766429193651030253916189694521162207808802136034115584 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (.f64 #s(literal -1/2 binary64) y))) (if (<=.f64 y #s(literal 836447011018753/4646927838993072071243945306718439250410188130185607684549287060362314553626263667328650982800488595593121011844353040782670578892327830336846345565944983205571783876398312106070895030732180427719497486819848241268961714708993375275490934188589556509412640954544199727574266715045888 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ ( (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (.f64 #s(literal 3/2 binary64) x))) #s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ ( (- y x) 1/2) x) (*.f64 (+.f64 y x) #s(literal 1/2 binary64))))))
(if (<=.f64 y #s(literal -3246526087283087/31828687130226345097944463881396533766429193651030253916189694521162207808802136034115584 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (.f64 #s(literal -1/2 binary64) y))) (if (<=.f64 y #s(literal 1450710983537555/1208925819614629174706176 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ ( (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (.f64 #s(literal 3/2 binary64) x))) #s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx ( (- y x) 1/2) (*.f64 #s(literal 1/2 binary64) y)))))
(if (<=.f64 y #s(literal 7550311166421727/719077253944926363091722076315609893447190791576922629093720324630930703222003852530833909289630144084480455519485573430635159075257666489971389722557896497511071573699461941105208878404984376477812331808340023075352602729369851525895652442163308948653402042738345192959788983753918865219341425318496896548864 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (.f64 #s(literal -1/2 binary64) y))) #s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx ( (- y x) 1/2) (*.f64 #s(literal 1/2 binary64) y))))
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- y x) 1/2) (*.f64 #s(literal 1/2 binary64) y)))

derivations722.0ms (12.4%)

Memory

18.3MiB live, 499.8MiB allocated; 81ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 655 to 86 computations (86.9% saved)

preprocess78.0ms (1.3%)

Memory: 9.8MiB live, 149.0MiB allocated; 9ms collecting garbage
Compiler: Compiled 1 326 to 186 computations (86% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.1s (18.3%)

explain167.0ms (2.9%)

preprocess255.0ms (4.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify161.0ms (2.8%)

localize23.0ms (0.4%)

series4.0ms (0.1%)

simplify230.0ms (3.9%)

rewrite57.0ms (1%)

eval4.0ms (0.1%)

prune4.0ms (0.1%)

simplify166.0ms (2.8%)

localize177.0ms (3%)

series73.0ms (1.3%)

simplify332.0ms (5.7%)

rewrite198.0ms (3.4%)

eval110.0ms (1.9%)

prune62.0ms (1.1%)

simplify172.0ms (3%)

localize169.0ms (2.9%)

series24.0ms (0.4%)

simplify195.0ms (3.3%)

rewrite82.0ms (1.4%)

eval87.0ms (1.5%)

prune20.0ms (0.4%)

simplify165.0ms (2.8%)

localize230.0ms (3.9%)

series9.0ms (0.1%)

simplify252.0ms (4.3%)

rewrite100.0ms (1.7%)

eval16.0ms (0.3%)

prune53.0ms (0.9%)

regimes27.0ms (0.5%)

regimes37.0ms (0.6%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

regimes18.0ms (0.3%)

regimes3.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch27.0ms (0.5%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch12.0ms (0.2%)

bsearch44.0ms (0.8%)

bsearch25.0ms (0.4%)

bsearch28.0ms (0.5%)

bsearch26.0ms (0.5%)

bsearch20.0ms (0.3%)

simplify56.0ms (1%)

derivations722.0ms (12.4%)

preprocess78.0ms (1.3%)

end0.0ms (0%)

Profiling