Metrics for Graphics.Rendering.Chart.Axis.Types:hBufferRect from Chart-1.5.3

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample994.0ms (33.6%)

Memory

-0.8MiB live, 910.0MiB allocated

Samples

638.0ms	7 592×	0	valid
66.0ms	304×	1	valid
24.0ms	159×	3	valid
23.0ms	201×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 358.0ms

ival-div: 156.0ms (43.6% of total)

ival-sub: 101.0ms (28.2% of total)

ival-add: 70.0ms (19.5% of total)

adjust: 17.0ms (4.7% of total)

ival-true: 6.0ms (1.7% of total)

exact: 5.0ms (1.4% of total)

ival-assert: 3.0ms (0.8% of total)

Bogosity

explain72.0ms (2.4%)

Memory

-9.6MiB live, 156.0MiB allocated

FPErrors

Click to see full error table

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

28.0ms	470×	0	valid
2.0ms	16×	2	valid
2.0ms	10×	3	valid
1.0ms	16×	1	valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-div: 4.0ms (31.3% of total)

ival-sub: 3.0ms (23.5% of total)

ival-add: 3.0ms (23.5% of total)

adjust: 1.0ms (7.8% of total)

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

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

exact: 0.0ms (0% of total)

preprocess61.0ms (2.1%)

Memory

-3.5MiB live, 44.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	41
1	45	35
2	139	35
3	373	35
4	687	35
5	871	35
6	918	35
0	6	7
0	9	7
1	15	7
2	26	7
3	47	7
4	86	7
5	157	7
6	282	7
7	442	7
8	573	7
9	643	7
10	647	7
0	647	6

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify18.0ms (0.6%)

Memory

13.9MiB live, 13.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	15	18
2	26	18
3	47	18
4	86	18
5	157	18
6	282	18
7	442	18
8	573	18
9	643	18
10	647	18
0	647	17

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize23.0ms (0.8%)

Memory

-1.9MiB live, 36.5MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 (-.f64 x y) #s(literal 2 binary64))
accuracy	0.0	(-.f64 x y)
accuracy	0.08984375	(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))

Samples

13.0ms	235×	0	valid
4.0ms	8×	2	valid
1.0ms	5×	3	valid
1.0ms	8×	1	valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

adjust: 4.0ms (44% of total)

ival-div: 2.0ms (22% of total)

ival-sub: 2.0ms (22% of total)

ival-add: 1.0ms (11% of total)

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

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

exact: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory

6.6MiB live, 6.6MiB allocated

Counts

3 → 23

Calls

Call 1

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

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

Calls

6 calls:

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

simplify127.0ms (4.3%)

Memory

-16.6MiB live, 97.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	110
1	176	110
2	485	110
3	1365	100
4	3079	100
5	4867	100
6	7017	100
0	8080	94

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 22

Calls

Call 1

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

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

rewrite382.0ms (12.9%)

Memory

-162.3MiB live, 228.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	48	15
2	400	15
3	5097	15
0	8170	14

Stop Event

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

Counts

3 → 353

Calls

Call 1

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

Outputs
(.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) (neg.f64 x)) (.f64 #s(literal 1/2 binary64) (-.f64 x y))) #s(literal 2 binary64)))) (fma.f64 x x (.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x y)) (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) (neg.f64 x)))))
(.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) (neg.f64 x)) (.f64 #s(literal 1/2 binary64) (-.f64 x y))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) (neg.f64 x)) (.f64 #s(literal 1/2 binary64) (-.f64 x y))) (-.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) (neg.f64 x)) (.f64 #s(literal 1/2 binary64) (-.f64 x y))) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (fma.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) (.f64 x x)) (fma.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x))
(.f64 (/.f64 (fma.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) (.f64 x x)) (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 (.f64 #s(literal 1/2 binary64) (-.f64 x y)) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x) (.f64 x x)))
(.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (.f64 (neg.f64 x) x)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) (neg.f64 x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x) #s(literal -1 binary64)) (fma.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) (.f64 x x)))
(.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x))) #s(literal -1 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) (.f64 x x))) (pow.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x)) #s(literal -1 binary64)))
(.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)))) (pow.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x)))) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) (.f64 x x)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x))
(.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x)))))
(.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x))) (.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x))) #s(literal -1 binary64))))
(.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x) (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x)))
(.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x) (.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x) #s(literal -1 binary64))))
(pow.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) (neg.f64 x)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) #s(literal -4 binary64))) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x) #s(literal -1 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (.f64 x x)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) #s(literal -6 binary64))) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x) #s(literal -1 binary64))) (+.f64 (fma.f64 (pow.f64 (.f64 (-.f64 y x) x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (pow.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) #s(literal -4 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) #s(literal -6 binary64))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x))) #s(literal -1 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (.f64 (fma.f64 (pow.f64 (-.f64 y x) #s(literal 9 binary64)) #s(literal 1/512 binary64) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x))) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) #s(literal -6 binary64))) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (-.f64 x y)) x) #s(literal 3 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x))))
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x x) #s(literal 2 binary64)) (.f64 (.f64 y y) #s(literal 1/4 binary64))) (+.f64 (fma.f64 #s(literal 1/2 binary64) x x) (*.f64 #s(literal 1/2 binary64) y)))
(/.f64 (-.f64 (pow.f64 (.f64 x (/.f64 x (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x))) #s(literal 2 binary64)) (pow.f64 (.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x))) #s(literal 2 binary64))) (fma.f64 x (/.f64 x (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x)) (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x)))))
(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) y (neg.f64 x)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) x (fma.f64 #s(literal 1/2 binary64) y (neg.f64 x))))
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(-.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal 1/2 binary64) (+.f64 y x))))) (/.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal 1/2 binary64) (+.f64 y x))))))
(-.f64 (/.f64 (.f64 #s(literal 2 binary64) x) #s(literal 4 binary64)) (/.f64 (.f64 #s(literal 2 binary64) y) #s(literal 4 binary64)))
(-.f64 (/.f64 (.f64 x x) (.f64 (+.f64 y x) #s(literal 2 binary64))) (/.f64 (.f64 y y) (.f64 (+.f64 y x) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) #s(literal 2 binary64))))
(-.f64 (/.f64 (.f64 x (/.f64 x (+.f64 y x))) #s(literal 2 binary64)) (/.f64 (.f64 y (/.f64 y (+.f64 y x))) #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 2 binary64)) (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (-.f64 x y)))
(-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) y))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (-.f64 x y))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x))) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (.f64 (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 y)) (.f64 #s(literal 1/2 binary64) x))
(+.f64 (.f64 y #s(literal -1/2 binary64)) (.f64 #s(literal 1/2 binary64) x))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) (neg.f64 y)))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/2 binary64))))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 y #s(literal -1/2 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 y x) y) #s(literal 2 binary64)))) (-.f64 (.f64 x x) (.f64 (+.f64 y x) y)))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (+.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (+.f64 y x) y) (-.f64 (.f64 (+.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (fma.f64 (neg.f64 y) y (*.f64 x x))) (-.f64 x y))
(.f64 (/.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (-.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 #s(literal 1 binary64) (fma.f64 (neg.f64 y) y (*.f64 x x))) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (fma.f64 (neg.f64 y) y (.f64 x x)))
(.f64 (pow.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(.f64 (.f64 (+.f64 y x) (-.f64 y x)) (pow.f64 (neg.f64 (+.f64 y x)) #s(literal -1 binary64)))
(.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 y x))
(.f64 (+.f64 y x) (.f64 (-.f64 x y) (pow.f64 (+.f64 y x) #s(literal -1 binary64))))
(*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x)))
(.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (*.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (-.f64 x y))
(.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (.f64 (-.f64 x y) (pow.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) #s(literal -1 binary64))))
(.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (/.f64 (-.f64 x y) (fma.f64 (+.f64 y x) y (*.f64 x x))))
(.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (.f64 (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) #s(literal -1 binary64)))
(*.f64 (-.f64 x y) #s(literal 1 binary64))
(pow.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (-.f64 x y) #s(literal 1 binary64))
(/.f64 (.f64 (.f64 (+.f64 y x) (-.f64 y x)) #s(literal 1 binary64)) (neg.f64 (+.f64 y x)))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1 binary64)) (neg.f64 (fma.f64 (+.f64 y x) y (.f64 x x))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) (fma.f64 y y (.f64 x x)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) (fma.f64 (.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) (pow.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) #s(literal -1 binary64))) (+.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))
(/.f64 (.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) #s(literal 1 binary64)) (+.f64 y x))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (+.f64 y x) (-.f64 y x))) (neg.f64 (+.f64 y x)))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 (+.f64 y x) y (.f64 x x))))
(/.f64 (.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) y (.f64 x x))) (+.f64 y x))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (+.f64 y x) y (.f64 x x)))
(/.f64 (-.f64 (pow.f64 (.f64 x (/.f64 x (+.f64 y x))) #s(literal 2 binary64)) (pow.f64 (.f64 y (/.f64 y (+.f64 y x))) #s(literal 2 binary64))) (fma.f64 x (/.f64 x (+.f64 y x)) (*.f64 y (/.f64 y (+.f64 y x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x)))))
(/.f64 (-.f64 (.f64 y y) (.f64 x x)) (-.f64 (neg.f64 y) x))
(/.f64 (-.f64 (pow.f64 (.f64 x (/.f64 x (+.f64 y x))) #s(literal 3 binary64)) (pow.f64 (.f64 y (/.f64 y (+.f64 y x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x (/.f64 x (+.f64 y x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 y (/.f64 y (+.f64 y x))) #s(literal 2 binary64)) (.f64 (.f64 x (/.f64 x (+.f64 y x))) (*.f64 y (/.f64 y (+.f64 y x)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x)))))))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x))) (neg.f64 (neg.f64 (+.f64 y x))))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x))) (+.f64 y x))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(/.f64 (neg.f64 (neg.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)))
(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 y x)) (.f64 (+.f64 y x) (.f64 y y))) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (.f64 (+.f64 y x) (fma.f64 y y (.f64 x x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (+.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (.f64 (+.f64 y x) (fma.f64 (.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.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 (+.f64 y x) y (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64))))
(/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (neg.f64 (neg.f64 (+.f64 y x))))
(/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (.f64 x x) (.f64 (neg.f64 y) x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(/.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)))
(neg.f64 (-.f64 y x))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 y x) y) #s(literal 2 binary64)))) (-.f64 (.f64 x x) (.f64 (+.f64 y x) y)) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (+.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (+.f64 y x) y) (-.f64 (.f64 (+.f64 y x) y) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(fma.f64 (/.f64 (.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (.f64 x x)) (neg.f64 (*.f64 y (/.f64 y (+.f64 y x)))))
(fma.f64 (/.f64 (.f64 x x) (fma.f64 (neg.f64 y) y (.f64 x x))) (-.f64 x y) (neg.f64 (*.f64 y (/.f64 y (+.f64 y x)))))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x)))))
(fma.f64 #s(literal -1 binary64) y x)
(fma.f64 (neg.f64 y) #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) (neg.f64 y) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 1 binary64) (neg.f64 y)))
(fma.f64 #s(literal 1 binary64) x (neg.f64 y))
(fma.f64 (.f64 x x) (/.f64 x (fma.f64 (+.f64 y x) y (.f64 x x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(fma.f64 (.f64 x x) (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (neg.f64 (.f64 y (/.f64 y (+.f64 y x)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x)))))
(fma.f64 y #s(literal -1 binary64) x)
(fma.f64 x (/.f64 (.f64 x x) (fma.f64 (+.f64 y x) y (.f64 x x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(fma.f64 x (/.f64 x (+.f64 y x)) (neg.f64 (*.f64 y (/.f64 y (+.f64 y x)))))
(fma.f64 x #s(literal 1 binary64) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 y)))
(fma.f64 x #s(literal 1 binary64) (neg.f64 y))
(-.f64 (+.f64 x #s(literal 0 binary64)) y)
(-.f64 (.f64 x (/.f64 x (+.f64 y x))) (.f64 y (/.f64 y (+.f64 y x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))))
(-.f64 #s(literal 0 binary64) (-.f64 y x))
(-.f64 x y)
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) x)
(+.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) x)
(+.f64 (neg.f64 (neg.f64 x)) (neg.f64 y))
(+.f64 (.f64 x (/.f64 x (+.f64 y x))) (neg.f64 (.f64 y (/.f64 y (+.f64 y x)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x)))))
(+.f64 (neg.f64 y) x)
(+.f64 x (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(+.f64 x (*.f64 #s(literal 1 binary64) (neg.f64 y)))
(+.f64 x (neg.f64 y))

eval71.0ms (2.4%)

Memory: 1.8MiB live, 89.9MiB allocated
Compiler: Compiled 7 060 to 1 133 computations (84% saved)

prune6.0ms (0.2%)

Memory

19.9MiB live, 19.9MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	356	4	360
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	357	4	361

Accuracy

100.0%

Counts

361 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
▶	100.0%	#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
▶	48.6%	#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
▶	53.1%	#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))

Compiler

Compiled 42 to 34 computations (19% saved)

simplify21.0ms (0.7%)

Memory

-14.9MiB live, 21.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

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

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	16	71
0	22	71
1	35	71
2	53	71
3	94	71
4	174	71
5	330	68
6	661	68
7	798	68
8	813	68
0	813	68

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize41.0ms (1.4%)

Memory

14.6MiB live, 89.9MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 y x)
accuracy	0.08984375	(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
accuracy	0.0	(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
accuracy	0.0	(*.f64 #s(literal -1/2 binary64) y)
accuracy	0.0	#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
accuracy	0.0	(*.f64 #s(literal 3/2 binary64) x)
accuracy	32.87001113806894	#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
accuracy	0.0	(*.f64 #s(literal -1/2 binary64) y)
accuracy	30.0377968568663	#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))

Samples

24.0ms	235×	0	valid
5.0ms	5×	3	valid
2.0ms	8×	2	valid
2.0ms	8×	1	valid

Compiler

Compiled 60 to 16 computations (73.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 5.0ms (27.4% of total)

adjust: 4.0ms (21.9% of total)

ival-add: 4.0ms (21.9% of total)

ival-sub: 3.0ms (16.4% of total)

ival-div: 2.0ms (10.9% of total)

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

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

exact: 0.0ms (0% of total)

series11.0ms (0.4%)

Memory

-15.7MiB live, 32.3MiB allocated

Counts

8 → 19

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	y	@	0	((+ x (/ (- x y) 2)) (* -1/2 y) (+ x (/ (- x y) 2)) (* 3/2 x) (+ x (/ (- x y) 2)) (+ (* 3/2 x) (* -1/2 y)) (+ (* (- y x) -1/2) x) (- y x))
2.0ms	y	@	inf	((+ x (/ (- x y) 2)) (* -1/2 y) (+ x (/ (- x y) 2)) (* 3/2 x) (+ x (/ (- x y) 2)) (+ (* 3/2 x) (* -1/2 y)) (+ (* (- y x) -1/2) x) (- y x))
1.0ms	x	@	-inf	((+ x (/ (- x y) 2)) (* -1/2 y) (+ x (/ (- x y) 2)) (* 3/2 x) (+ x (/ (- x y) 2)) (+ (* 3/2 x) (* -1/2 y)) (+ (* (- y x) -1/2) x) (- y x))
1.0ms	x	@	inf	((+ x (/ (- x y) 2)) (* -1/2 y) (+ x (/ (- x y) 2)) (* 3/2 x) (+ x (/ (- x y) 2)) (+ (* 3/2 x) (* -1/2 y)) (+ (* (- y x) -1/2) x) (- y x))
1.0ms	y	@	-inf	((+ x (/ (- x y) 2)) (* -1/2 y) (+ x (/ (- x y) 2)) (* 3/2 x) (+ x (/ (- x y) 2)) (+ (* 3/2 x) (* -1/2 y)) (+ (* (- y x) -1/2) x) (- y x))

simplify104.0ms (3.5%)

Memory

17.1MiB live, 132.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	86
1	165	86
2	458	86
3	1270	86
4	3244	86
5	4744	86
6	6974	86
0	8010	78

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 18

Calls

Call 1

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

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

rewrite204.0ms (6.9%)

Memory

-21.8MiB live, 215.2MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	57
0	22	57
1	98	57
2	817	54
0	9376	54

Stop Event

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

Counts

8 → 266

Calls

Call 1

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

Outputs
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))
(.f64 #s(literal -1 binary64) (.f64 #s(literal 1/2 binary64) y))
(*.f64 (neg.f64 y) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 y #s(literal -1/2 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) y))
(/.f64 (neg.f64 y) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) y)))
(/.f64 y #s(literal -2 binary64))
(neg.f64 (*.f64 #s(literal 1/2 binary64) y))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) y))
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
(*.f64 #s(literal 3/2 binary64) x)
(*.f64 x #s(literal 3/2 binary64))
#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
(.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) y) y (.f64 #s(literal -9/4 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal -3/2 binary64) x))))
(.f64 (neg.f64 (fma.f64 (.f64 #s(literal 9/4 binary64) x) x (.f64 #s(literal -1/4 binary64) (.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))))
(.f64 (neg.f64 (fma.f64 #s(literal 27/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 #s(literal 9/4 binary64) x) x (.f64 y (-.f64 (.f64 #s(literal 1/4 binary64) y) (.f64 x #s(literal -3/4 binary64))))))))
(.f64 (fma.f64 (.f64 #s(literal 9/4 binary64) x) x (.f64 #s(literal -1/4 binary64) (.f64 y y))) (pow.f64 (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/2 binary64) x (.f64 #s(literal -1/2 binary64) y)))
(.f64 (fma.f64 (.f64 #s(literal 9/4 binary64) x) x (.f64 y (-.f64 (.f64 #s(literal 1/4 binary64) y) (.f64 x #s(literal -3/4 binary64))))) (.f64 (fma.f64 #s(literal 3/2 binary64) x (.f64 #s(literal -1/2 binary64) y)) (pow.f64 (fma.f64 (.f64 #s(literal 9/4 binary64) x) x (.f64 y (-.f64 (.f64 #s(literal 1/4 binary64) y) (*.f64 x #s(literal -3/4 binary64))))) #s(literal -1 binary64))))
(.f64 (fma.f64 #s(literal 27/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/4 binary64) y) y (.f64 x (-.f64 (.f64 #s(literal 9/4 binary64) x) (.f64 #s(literal -3/4 binary64) y))))))
(.f64 (fma.f64 #s(literal 27/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal 3 binary64))) (pow.f64 (fma.f64 (.f64 #s(literal 9/4 binary64) x) x (.f64 y (-.f64 (.f64 #s(literal 1/4 binary64) y) (.f64 x #s(literal -3/4 binary64))))) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 3/2 binary64) x (.f64 #s(literal -1/2 binary64) y)) (.f64 (fma.f64 #s(literal 3/2 binary64) x (.f64 #s(literal 1/2 binary64) y)) (pow.f64 (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 81/16 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/16 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 (fma.f64 #s(literal 3/2 binary64) x (.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64))) (fma.f64 #s(literal 9/4 binary64) (.f64 x x) (pow.f64 (.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 729/64 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal 1/64 binary64) (pow.f64 y #s(literal 6 binary64)))) (pow.f64 (fma.f64 #s(literal 3/2 binary64) x (.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64))) (fma.f64 #s(literal 81/16 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/16 binary64) (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 x #s(literal -3/4 binary64)) y) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 729/64 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal 1/64 binary64) (pow.f64 y #s(literal 6 binary64)))) (pow.f64 (fma.f64 (.f64 #s(literal 9/4 binary64) x) x (.f64 y (-.f64 (.f64 #s(literal 1/4 binary64) y) (.f64 x #s(literal -3/4 binary64))))) #s(literal -1 binary64))) (fma.f64 #s(literal 27/8 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 19683/512 binary64) (pow.f64 x #s(literal 9 binary64)) (pow.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal 9 binary64))) (pow.f64 (fma.f64 (.f64 #s(literal 9/4 binary64) x) x (.f64 y (-.f64 (.f64 #s(literal 1/4 binary64) y) (.f64 x #s(literal -3/4 binary64))))) #s(literal -1 binary64))) (fma.f64 #s(literal 729/64 binary64) (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (.f64 (*.f64 x #s(literal -3/4 binary64)) y) #s(literal 3 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 #s(literal 9/4 binary64) x) x (.f64 #s(literal -1/4 binary64) (.f64 y y))) #s(literal 1 binary64)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal 1/2 binary64) y)))
(/.f64 (.f64 (fma.f64 #s(literal 27/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (.f64 #s(literal 9/4 binary64) x) x (.f64 y (-.f64 (.f64 #s(literal 1/4 binary64) y) (.f64 x #s(literal -3/4 binary64))))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 #s(literal 3/2 binary64) x) #s(literal 2 binary64)) (fma.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 2 binary64)) (fma.f64 #s(literal 3/2 binary64) x (.f64 #s(literal 1/2 binary64) y)))) (.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 y y)) (fma.f64 #s(literal -3/2 binary64) x (.f64 #s(literal -1/2 binary64) y))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 y y)) (fma.f64 #s(literal -3/2 binary64) x (.f64 #s(literal -1/2 binary64) y))))) (+.f64 (/.f64 (pow.f64 (.f64 #s(literal 3/2 binary64) x) #s(literal 2 binary64)) (fma.f64 #s(literal 3/2 binary64) x (.f64 #s(literal 1/2 binary64) y))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 y y)) (fma.f64 #s(literal -3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal 3/2 binary64) x) #s(literal 2 binary64)) (fma.f64 #s(literal 3/2 binary64) x (.f64 #s(literal 1/2 binary64) y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 y y)) (fma.f64 #s(literal -3/2 binary64) x (.f64 #s(literal -1/2 binary64) y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 #s(literal 3/2 binary64) x) #s(literal 2 binary64)) (fma.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 2 binary64)) (fma.f64 #s(literal 3/2 binary64) x (.f64 #s(literal 1/2 binary64) y))) (fma.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 y y)) (fma.f64 #s(literal -3/2 binary64) x (.f64 #s(literal -1/2 binary64) y))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 y y)) (fma.f64 #s(literal -3/2 binary64) x (.f64 #s(literal -1/2 binary64) y))) (.f64 (/.f64 (pow.f64 (.f64 #s(literal 3/2 binary64) x) #s(literal 2 binary64)) (fma.f64 #s(literal 3/2 binary64) x (.f64 #s(literal 1/2 binary64) y))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 y y)) (fma.f64 #s(literal -3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))))))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) y) y (.f64 #s(literal -9/4 binary64) (.f64 x x)))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 #s(literal -3/2 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal 9/4 binary64) x) x (.f64 #s(literal -1/4 binary64) (.f64 y y))))) (neg.f64 (fma.f64 #s(literal -3/2 binary64) x (.f64 #s(literal -1/2 binary64) y))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 27/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal 9/4 binary64) x) x (.f64 y (-.f64 (.f64 #s(literal 1/4 binary64) y) (*.f64 x #s(literal -3/4 binary64))))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 #s(literal 3/2 binary64) x) #s(literal 2 binary64)) (fma.f64 #s(literal 3/2 binary64) x (.f64 #s(literal 1/2 binary64) y))) (.f64 (fma.f64 #s(literal 3/2 binary64) x (.f64 #s(literal 1/2 binary64) y)) (pow.f64 (.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)))) (.f64 (fma.f64 #s(literal 3/2 binary64) x (.f64 #s(literal 1/2 binary64) y)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal 1/2 binary64) y))))
(/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) y) y (.f64 #s(literal -9/4 binary64) (.f64 x x))) (fma.f64 #s(literal -1/2 binary64) y (.f64 #s(literal -3/2 binary64) x)))
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(/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) #s(literal -1 binary64))) (+.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))))
(/.f64 (.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) #s(literal 1 binary64)) (+.f64 y x))
(/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 y (+.f64 y x) (.f64 x x)))
(/.f64 (.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x (.f64 y y))) (+.f64 y x))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y (+.f64 y x) (.f64 x x)))
(/.f64 (.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) #s(literal 1 binary64)) (neg.f64 (+.f64 y x)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (neg.f64 (fma.f64 y (+.f64 y x) (.f64 x x))))
(/.f64 (.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) y (.f64 x x))) (neg.f64 (+.f64 y x)))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (+.f64 y x) (.f64 x x))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 x y)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 y y) (+.f64 y x)) (/.f64 (.f64 y y) (+.f64 y x))) (.f64 (/.f64 (.f64 x x) (+.f64 y x)) (/.f64 (.f64 x x) (+.f64 y x)))) (+.f64 (/.f64 (.f64 y y) (+.f64 y x)) (/.f64 (.f64 x x) (+.f64 y x))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.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 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (.f64 x x))))) (+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (.f64 x x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (-.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 y y) (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (+.f64 y x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 y y) (+.f64 y x)) (/.f64 (.f64 y y) (+.f64 y x)) (fma.f64 (/.f64 (.f64 x x) (+.f64 y x)) (/.f64 (.f64 x x) (+.f64 y x)) (.f64 (/.f64 (.f64 y y) (+.f64 y x)) (/.f64 (*.f64 x x) (+.f64 y x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (.f64 x x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 y #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))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (.f64 x x))) (.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x)))))))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 y y) (.f64 (neg.f64 x) y))))
(/.f64 (-.f64 (.f64 (.f64 y y) (+.f64 y x)) (.f64 (+.f64 y x) (.f64 x x))) (*.f64 (+.f64 y x) (+.f64 y x)))
(/.f64 (-.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (.f64 x x))) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (pow.f64 x #s(literal 3 binary64)))) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (fma.f64 y (+.f64 y x) (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))))
(/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))
(/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (-.f64 (neg.f64 x) y))
(/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (neg.f64 (+.f64 y x)))
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (neg.f64 (neg.f64 (+.f64 y x))))
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (+.f64 y x))
(/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 (neg.f64 x) (-.f64 (neg.f64 x) y))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (fma.f64 x x (*.f64 (neg.f64 y) (-.f64 (neg.f64 y) x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (fma.f64 y y (*.f64 (neg.f64 x) (-.f64 (neg.f64 x) y)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (fma.f64 y (+.f64 y x) (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (neg.f64 (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 x x (*.f64 (neg.f64 y) (-.f64 (neg.f64 y) x))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y y (*.f64 (neg.f64 x) (-.f64 (neg.f64 x) y))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y (+.f64 y x) (*.f64 x x)))
(neg.f64 (-.f64 x y))
(fma.f64 #s(literal -1 binary64) (neg.f64 y) (neg.f64 x))
(fma.f64 #s(literal -1 binary64) x y)
(fma.f64 (neg.f64 y) #s(literal -1 binary64) (*.f64 x #s(literal -1 binary64)))
(fma.f64 (neg.f64 x) #s(literal 1 binary64) (*.f64 y #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) y)
(fma.f64 #s(literal 1 binary64) y (neg.f64 x))
(fma.f64 (.f64 y y) (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (neg.f64 (/.f64 (.f64 x x) (+.f64 y x))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (.f64 x x)))))
(fma.f64 x #s(literal -1 binary64) (*.f64 (neg.f64 y) #s(literal -1 binary64)))
(-.f64 (+.f64 y #s(literal 0 binary64)) x)
(-.f64 (/.f64 (.f64 x x) (neg.f64 (+.f64 y x))) (/.f64 (.f64 y y) (neg.f64 (+.f64 y x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (fma.f64 y (+.f64 y x) (.f64 x x)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (neg.f64 (fma.f64 y (+.f64 y x) (.f64 x x)))))
(-.f64 (/.f64 (.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 (+.f64 y x) (.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (.f64 x x))))
(-.f64 #s(literal 0 binary64) (-.f64 x y))
(-.f64 (neg.f64 x) (neg.f64 y))
(-.f64 y x)
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 x x) (+.f64 y x))) (/.f64 (.f64 y y) (+.f64 y x)))
(+.f64 (-.f64 #s(literal 0 binary64) (/.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 (neg.f64 x) #s(literal 1 binary64)) (.f64 y #s(literal 1 binary64)))
(+.f64 (.f64 (neg.f64 y) #s(literal -1 binary64)) (.f64 x #s(literal -1 binary64)))
(+.f64 (.f64 x #s(literal -1 binary64)) (.f64 (neg.f64 y) #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) y)
(+.f64 (/.f64 (.f64 y y) (+.f64 y x)) (neg.f64 (/.f64 (.f64 x x) (+.f64 y x))))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (.f64 x x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (.f64 x x)))))
(+.f64 #s(literal 0 binary64) (-.f64 y x))
(+.f64 (neg.f64 x) y)
(+.f64 y (neg.f64 x))

eval36.0ms (1.2%)

Memory: 12.6MiB live, 50.5MiB allocated
Compiler: Compiled 6 349 to 874 computations (86.2% saved)

prune5.0ms (0.2%)

Memory

16.4MiB live, 16.4MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	280	0	280
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	280	4	284

Accuracy

100.0%

Counts

284 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
✓	100.0%	#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
✓	48.6%	#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
✓	53.1%	#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))

Compiler

Compiled 91 to 54 computations (40.7% saved)

regimes36.0ms (1.2%)

Memory

-27.6MiB live, 11.5MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

31.0ms	x
2.0ms	(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
2.0ms	y

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes6.0ms (0.2%)

Memory

14.4MiB live, 14.4MiB allocated

Counts

3 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes5.0ms (0.2%)

Memory

11.4MiB live, 11.4MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
78.1%	3	`x`
80.5%	5	`y`
56.5%	2	`(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes4.0ms (0.1%)

Memory

9.8MiB live, 9.8MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
53.1%	1	`(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))`
53.1%	1	`y`
53.1%	1	`x`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch27.0ms (0.9%)

Memory

-19.5MiB live, 29.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.2339994460877153e-5	4116518.094616587
12.0ms	-1.448489442065182e-9	-4.3295613428402195e-10

Samples

8.0ms	212×	0	valid
1.0ms	18×	1	valid
1.0ms	10×	2	valid

Compiler

Compiled 340 to 311 computations (8.5% saved)

Precisions

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

ival-div: 2.0ms (35.8% of total)

ival-sub: 2.0ms (35.8% of total)

adjust: 1.0ms (17.9% of total)

ival-add: 1.0ms (17.9% of total)

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

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

exact: 0.0ms (0% of total)

simplify62.0ms (2.1%)

Memory

-1.0MiB live, 73.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	62
1	33	62
2	47	62
3	69	62
4	114	62
5	204	62
6	385	62
7	1003	62
8	3196	62
9	5689	62

Stop Event

1×	node limit

Calls

Call 1

Inputs
#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
(if (<=.f64 x #s(literal -3191564163782621/2417851639229258349412352 binary64)) #s(approx (+ x (/ (- x y) 2)) (.f64 #s(literal 3/2 binary64) x)) (if (<=.f64 x #s(literal 7349874591868649/144115188075855872 binary64)) #s(approx (+ x (/ (- x y) 2)) (.f64 #s(literal -1/2 binary64) y)) #s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))))
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))

Outputs
#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
(if (<=.f64 x #s(literal -3191564163782621/2417851639229258349412352 binary64)) #s(approx (+ x (/ (- x y) 2)) (.f64 #s(literal 3/2 binary64) x)) (if (<=.f64 x #s(literal 7349874591868649/144115188075855872 binary64)) #s(approx (+ x (/ (- x y) 2)) (.f64 #s(literal -1/2 binary64) y)) #s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))))
(if (or (<=.f64 x #s(literal -3191564163782621/2417851639229258349412352 binary64)) (not (<=.f64 x #s(literal 7349874591868649/144115188075855872 binary64)))) #s(approx (+ x (/ (- x y) 2)) (.f64 #s(literal 3/2 binary64) x)) #s(approx (+ x (/ (- x y) 2)) (.f64 #s(literal -1/2 binary64) y)))
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))

soundness605.0ms (20.4%)

Memory

14.8MiB live, 288.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	48	15
2	400	15
3	5097	15
0	8170	14
0	58	110
1	176	110
2	485	110
3	1365	100
4	3079	100
5	4867	100
6	7017	100
0	8080	94

Stop Event

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

Compiler

Compiled 90 to 50 computations (44.4% saved)

preprocess35.0ms (1.2%)

Memory: -29.8MiB live, 94.2MiB allocated
Compiler: Compiled 152 to 72 computations (52.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	16	41
1	45	35
2	139	35
3	373	35
4	687	35
5	871	35
6	918	35
0	6	7
0	9	7
1	15	7
2	26	7
3	47	7
4	86	7
5	157	7
6	282	7
7	442	7
8	573	7
9	643	7
10	647	7
0	647	6

Iter	Nodes	Cost
0	6	18
0	9	18
1	15	18
2	26	18
3	47	18
4	86	18
5	157	18
6	282	18
7	442	18
8	573	18
9	643	18
10	647	18
0	647	17

Iter	Nodes	Cost
0	16	71
0	22	71
1	35	71
2	53	71
3	94	71
4	174	71
5	330	68
6	661	68
7	798	68
8	813	68
0	813	68

Iter	Nodes	Cost
0	16	41
1	45	35
2	139	35
3	373	35
4	687	35
5	871	35
6	918	35
0	6	7
0	9	7
1	15	7
2	26	7
3	47	7
4	86	7
5	157	7
6	282	7
7	442	7
8	573	7
9	643	7
10	647	7
0	647	6

Iter	Nodes	Cost
0	6	18
0	9	18
1	15	18
2	26	18
3	47	18
4	86	18
5	157	18
6	282	18
7	442	18
8	573	18
9	643	18
10	647	18
0	647	17

Iter	Nodes	Cost
0	16	71
0	22	71
1	35	71
2	53	71
3	94	71
4	174	71
5	330	68
6	661	68
7	798	68
8	813	68
0	813	68

start0.0ms (0%)

analyze0.0ms (0%)

sample994.0ms (33.6%)

explain72.0ms (2.4%)

preprocess61.0ms (2.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify18.0ms (0.6%)

localize23.0ms (0.8%)

series3.0ms (0.1%)

simplify127.0ms (4.3%)

rewrite382.0ms (12.9%)

eval71.0ms (2.4%)

prune6.0ms (0.2%)

simplify21.0ms (0.7%)

localize41.0ms (1.4%)

series11.0ms (0.4%)

simplify104.0ms (3.5%)

rewrite204.0ms (6.9%)

eval36.0ms (1.2%)

prune5.0ms (0.2%)

regimes36.0ms (1.2%)

regimes6.0ms (0.2%)

regimes5.0ms (0.2%)

regimes4.0ms (0.1%)

bsearch27.0ms (0.9%)

simplify62.0ms (2.1%)

soundness605.0ms (20.4%)

preprocess35.0ms (1.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	16	41
1	45	35
2	139	35
3	373	35
4	687	35
5	871	35
6	918	35
0	6	7
0	9	7
1	15	7
2	26	7
3	47	7
4	86	7
5	157	7
6	282	7
7	442	7
8	573	7
9	643	7
10	647	7
0	647	6

Iter	Nodes	Cost
0	6	18
0	9	18
1	15	18
2	26	18
3	47	18
4	86	18
5	157	18
6	282	18
7	442	18
8	573	18
9	643	18
10	647	18
0	647	17

Iter	Nodes	Cost
0	16	71
0	22	71
1	35	71
2	53	71
3	94	71
4	174	71
5	330	68
6	661	68
7	798	68
8	813	68
0	813	68