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

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB 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)

sample940.0ms (13.7%)

Memory

-191.5MiB live, 1 345.4MiB allocated

Samples

636.0ms	7 624×	0	valid
30.0ms	202×	2	valid
25.0ms	137×	3	valid
23.0ms	293×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 498.0ms

ival-sub: 341.0ms (68.4% of total)

ival-div: 74.0ms (14.8% of total)

ival-add: 48.0ms (9.6% of total)

adjust: 21.0ms (4.2% of total)

ival-true: 5.0ms (1% of total)

exact: 5.0ms (1% of total)

ival-assert: 3.0ms (0.6% of total)

Bogosity

preprocess70.0ms (1%)

Memory

2.1MiB live, 84.3MiB allocated

Algorithm

1×	egg-herbie

Rules

560×	`lower-fma.f64`
560×	`lower-fma.f32`
208×	`lower-*.f64`
208×	`lower-*.f32`
164×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	41
1	45	35
2	139	35
3	373	35
4	647	35
5	807	35
6	846	35
0	6	7
0	9	7
1	15	7
2	26	7
3	47	7
4	86	7
5	157	7
6	278	7
7	436	7
8	543	7
9	604	7
10	608	7
0	608	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 (-.f64 x y) #s(literal 1/2 binary64) x)

explain66.0ms (1%)

Memory

6.6MiB live, 120.1MiB 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

21.0ms	478×	0	valid
2.0ms	18×	1	valid
1.0ms	10×	2	valid
1.0ms	6×	3	valid

Compiler

Compiled 58 to 28 computations (51.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-div: 4.0ms (34.7% of total)

ival-sub: 3.0ms (26.1% of total)

ival-add: 3.0ms (26.1% of total)

adjust: 1.0ms (8.7% of total)

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

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

exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB 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 9 to 6 computations (33.3% saved)

simplify33.0ms (0.5%)

Memory

4.5MiB live, 48.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 x y)
✓	cost-diff	128	(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
✓	cost-diff	384	(/.f64 (-.f64 x y) #s(literal 2 binary64))

Rules

560×	`lower-fma.f64`
560×	`lower-fma.f32`
208×	`lower-*.f64`
208×	`lower-*.f32`
128×	`lower-+.f32`

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	278	18
7	436	18
8	543	18
9	604	18
10	608	18
0	608	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 (-.f64 x y) #s(literal 1/2 binary64) x)
x
(/.f64 (-.f64 x y) #s(literal 2 binary64))
(*.f64 (-.f64 x y) #s(literal 1/2 binary64))
(-.f64 x y)
y
#s(literal 2 binary64)

localize50.0ms (0.7%)

Memory

-5.5MiB live, 33.7MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 (-.f64 x y) #s(literal 2 binary64))
✓	accuracy	100.0%	(-.f64 x y)
✓	accuracy	99.9%	(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))

Samples

31.0ms	5×	2	valid
12.0ms	239×	0	valid
1.0ms	9×	1	valid
0.0ms	3×	3	valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-div: 2.0ms (35.2% of total)

ival-sub: 2.0ms (35.2% of total)

ival-add: 1.0ms (17.6% 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)

series3.0ms (0%)

Memory

4.7MiB live, 4.7MiB allocated

Counts

3 → 72

Calls

Call 1

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

Outputs
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 1/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 1/2 (* -1/2 (/ y x))))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2)))>
#<alt (* 1/2 x)>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (* -1/2 y)>
#<alt (* y (- (* 1/2 (/ x y)) 1/2))>
#<alt (* y (- (* 1/2 (/ x y)) 1/2))>
#<alt (* y (- (* 1/2 (/ x y)) 1/2))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))>
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (* 3/2 x)>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* 3/2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (+ x (* 1/2 x))>
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))>
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))>
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))>
#<alt (* -1/2 y)>
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))>
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))>
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))>
#<alt (* -1 y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>

Calls

18 calls:

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

simplify361.0ms (5.3%)

Memory

5.4MiB live, 200.5MiB allocated

Algorithm

1×	egg-herbie

Rules

7 504×	`lower-fma.f64`
7 504×	`lower-fma.f32`
2 794×	`lower-*.f64`
2 794×	`lower-*.f32`
1 196×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	351
1	176	351
2	487	351
3	1348	315
4	2968	315
5	4585	315
6	6569	315
7	7592	315
0	8078	297

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 69

Calls

Call 1

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

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

rewrite416.0ms (6.1%)

Memory

-21.0MiB live, 467.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 050×	`lower-fma.f64`
4 050×	`lower-fma.f32`
3 870×	`lower-*.f64`
3 870×	`lower-*.f32`
2 640×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	48	15
2	400	15
3	5080	15
0	8183	14

Stop Event

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

Counts

3 → 353

Calls

Call 1

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

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

eval66.0ms (1%)

Memory: -0.4MiB live, 114.8MiB allocated
Compiler: Compiled 8 964 to 1 111 computations (87.6% saved)

prune59.0ms (0.9%)

Memory

-5.7MiB live, 125.0MiB allocated

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	408	14	422
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	409	14	423

Accuracy

100.0%

Counts

423 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.5%	(fma.f64 (pow.f64 (.f64 (-.f64 x y) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 (-.f64 x y) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) x)
▶	99.9%	(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
	50.4%	(fma.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1/2 binary64) (+.f64 x y)) x)
▶	99.9%	(fma.f64 x #s(literal 1/2 binary64) (fma.f64 y #s(literal -1/2 binary64) x))
	49.7%	(/.f64 (fma.f64 (-.f64 y x) (.f64 #s(literal 1/4 binary64) (-.f64 x y)) (.f64 x x)) (fma.f64 (-.f64 x y) #s(literal -1/2 binary64) x))
	30.5%	(/.f64 (fma.f64 (.f64 (-.f64 x y) (.f64 (-.f64 x y) (-.f64 x y))) #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (fma.f64 (-.f64 x y) (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) (neg.f64 x))) (.f64 x x)))
	48.1%	(/.f64 (-.f64 (.f64 (-.f64 x y) (.f64 #s(literal 1/4 binary64) (-.f64 x y))) (*.f64 x x)) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)))
▶	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x)))
	99.9%	(-.f64 (fma.f64 x #s(literal 1/2 binary64) x) (*.f64 y #s(literal 1/2 binary64)))
▶	99.8%	(+.f64 x (/.f64 (.f64 (+.f64 x y) (.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 x y)))) #s(literal 2 binary64)))
	99.7%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 x y))))
	59.3%	(+.f64 x #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y)))
	50.0%	#s(approx (+ x (/ (- x y) 2)) (*.f64 x #s(literal 3/2 binary64)))
▶	50.9%	#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))

Compiler

Compiled 408 to 220 computations (46.1% saved)

simplify288.0ms (4.2%)

Memory

17.6MiB live, 563.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(+.f64 x (/.f64 (.f64 (+.f64 x y) (.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 x y)))) #s(literal 2 binary64)))
✓	cost-diff	320	(*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
✓	cost-diff	384	(/.f64 (.f64 (+.f64 x y) (.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 x y)))) #s(literal 2 binary64))
✓	cost-diff	1408	(.f64 (+.f64 x y) (.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 x y))))
✓	cost-diff	0	(-.f64 x y)
✓	cost-diff	0	(fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x))
✓	cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x y) #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	(*.f64 #s(literal -1/2 binary64) y)
✓	cost-diff	0	#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))
✓	cost-diff	0	(fma.f64 y #s(literal -1/2 binary64) x)
✓	cost-diff	192	(fma.f64 x #s(literal 1/2 binary64) (fma.f64 y #s(literal -1/2 binary64) x))

Rules

11 226×	`lower-fma.f32`
11 218×	`lower-fma.f64`
3 104×	`lower-*.f32`
3 098×	`lower-*.f64`
1 500×	`lower-+.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	143
0	44	122
1	76	118
2	158	104
3	437	104
4	1876	104
5	5089	104
0	8357	104

Stop Event

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

Calls

Call 1

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

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

localize119.0ms (1.7%)

Memory

2.6MiB live, 280.7MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 x y))
✓	accuracy	99.9%	(.f64 (+.f64 x y) (.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 x y))))
✓	accuracy	99.9%	(+.f64 x (/.f64 (.f64 (+.f64 x y) (.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 x y)))) #s(literal 2 binary64)))
✓	accuracy	99.8%	(*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
✓	accuracy	100.0%	(-.f64 x y)
✓	accuracy	99.9%	(fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x)
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x)))
✓	accuracy	100.0%	(-.f64 y x)
✓	accuracy	99.9%	(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
✓	accuracy	100.0%	(*.f64 #s(literal -1/2 binary64) y)
✓	accuracy	50.9%	#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))
✓	accuracy	100.0%	(fma.f64 y #s(literal -1/2 binary64) x)
✓	accuracy	99.9%	(fma.f64 x #s(literal 1/2 binary64) (fma.f64 y #s(literal -1/2 binary64) x))

Samples

68.0ms	225×	0	valid
8.0ms	17×	1	valid
5.0ms	10×	2	valid
3.0ms	4×	3	valid

Compiler

Compiled 148 to 29 computations (80.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-add: 37.0ms (56.6% of total)

ival-mult: 13.0ms (19.9% of total)

ival-div: 9.0ms (13.8% of total)

adjust: 3.0ms (4.6% of total)

ival-sub: 3.0ms (4.6% of total)

exact: 1.0ms (1.5% of total)

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

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

series16.0ms (0.2%)

Memory

5.6MiB live, 43.3MiB allocated

Counts

15 → 348

Calls

Call 1

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

Outputs
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (* 3/2 x)>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* 3/2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (+ x (* 1/2 x))>
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))>
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))>
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))>
#<alt (* -1/2 y)>
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))>
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))>
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))>
#<alt x>
#<alt (+ x (* -1/2 y))>
#<alt (+ x (* -1/2 y))>
#<alt (+ x (* -1/2 y))>
#<alt (* -1/2 y)>
#<alt (* y (- (/ x y) 1/2))>
#<alt (* y (- (/ x y) 1/2))>
#<alt (* y (- (/ x y) 1/2))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ x y)))))>
#<alt (* -1/2 y)>
#<alt (+ x (* -1/2 y))>
#<alt (+ x (* -1/2 y))>
#<alt (+ x (* -1/2 y))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 (/ y x))))>
#<alt (* x (+ 1 (* -1/2 (/ y x))))>
#<alt (* x (+ 1 (* -1/2 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1)))>
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (* 3/2 x)>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* 3/2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (+ x (* 1/2 x))>
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))>
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))>
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))>
#<alt (* -1/2 y)>
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))>
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))>
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (+ x (* 1/2 x))>
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))>
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))>
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))>
#<alt (* -1/2 y)>
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))>
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))>
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))>
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (* 3/2 x)>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* 3/2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 x)>
#<alt (- y x)>
#<alt (- y x)>
#<alt (- y x)>
#<alt y>
#<alt (* y (+ 1 (* -1 (/ x y))))>
#<alt (* y (+ 1 (* -1 (/ x y))))>
#<alt (* y (+ 1 (* -1 (/ x y))))>
#<alt y>
#<alt (* -1 (* y (- (/ x y) 1)))>
#<alt (* -1 (* y (- (/ x y) 1)))>
#<alt (* -1 (* y (- (/ x y) 1)))>
#<alt y>
#<alt (+ y (* -1 x))>
#<alt (+ y (* -1 x))>
#<alt (+ y (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ y x) 1))>
#<alt (* x (- (/ y x) 1))>
#<alt (* x (- (/ y x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ y x)))))>
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (* 3/2 x)>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* 3/2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (+ x (* 1/2 x))>
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))>
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))>
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))>
#<alt (* -1/2 y)>
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))>
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))>
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))>
#<alt (/ -2 y)>
#<alt (- (* -6 (/ x (pow y 2))) (* 2 (/ 1 y)))>
#<alt (- (* x (- (* -18 (/ x (pow y 3))) (* 6 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))>
#<alt (- (* x (- (* x (- (* -54 (/ x (pow y 4))) (* 18 (/ 1 (pow y 3))))) (* 6 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))>
#<alt (/ 2/3 x)>
#<alt (/ (+ 2/3 (* 2/9 (/ y x))) x)>
#<alt (/ (- (+ 2/3 (* 2/27 (/ (pow y 2) (pow x 2)))) (* -2/9 (/ y x))) x)>
#<alt (/ (- (+ 2/3 (* 2/81 (/ (pow y 3) (pow x 3)))) (+ (* -2/9 (/ y x)) (* -2/27 (/ (pow y 2) (pow x 2))))) x)>
#<alt (/ 2/3 x)>
#<alt (* -1 (/ (- (* -2/9 (/ y x)) 2/3) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 2/27 (/ (pow y 2) x)) (* -2/9 y)) x)) 2/3) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -2/81 (/ (pow y 3) x)) (* 2/27 (pow y 2))) x)) (* -2/9 y)) x)) 2/3) x))>
#<alt (/ 1 (+ x (* 1/2 x)))>
#<alt (+ (* 1/2 (/ y (pow (+ x (* 1/2 x)) 2))) (/ 1 (+ x (* 1/2 x))))>
#<alt (+ (* y (+ (* 1/4 (/ y (pow (+ x (* 1/2 x)) 3))) (* 1/2 (/ 1 (pow (+ x (* 1/2 x)) 2))))) (/ 1 (+ x (* 1/2 x))))>
#<alt (+ (* y (+ (* y (+ (* 1/8 (/ y (pow (+ x (* 1/2 x)) 4))) (* 1/4 (/ 1 (pow (+ x (* 1/2 x)) 3))))) (* 1/2 (/ 1 (pow (+ x (* 1/2 x)) 2))))) (/ 1 (+ x (* 1/2 x))))>
#<alt (/ -2 y)>
#<alt (/ (- (* -4 (/ (+ x (* 1/2 x)) y)) 2) y)>
#<alt (/ (- (* -8 (/ (pow (+ x (* 1/2 x)) 2) (pow y 2))) (+ 2 (* 4 (/ (+ x (* 1/2 x)) y)))) y)>
#<alt (/ (- (* -16 (/ (pow (+ x (* 1/2 x)) 3) (pow y 3))) (+ 2 (+ (* 4 (/ (+ x (* 1/2 x)) y)) (* 8 (/ (pow (+ x (* 1/2 x)) 2) (pow y 2)))))) y)>
#<alt (/ -2 y)>
#<alt (* -1 (/ (+ 2 (* 4 (/ (+ x (* 1/2 x)) y))) y))>
#<alt (* -1 (/ (+ 2 (* -1 (/ (- (* -8 (/ (pow (+ x (* 1/2 x)) 2) y)) (* 4 (+ x (* 1/2 x)))) y))) y))>
#<alt (* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow (+ x (* 1/2 x)) 3) y)) (* -8 (pow (+ x (* 1/2 x)) 2))) y)) (* 4 (+ x (* 1/2 x)))) y))) y))>
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (* 3/2 x)>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* 3/2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (+ x (* 1/2 x))>
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))>
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))>
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))>
#<alt (* -1/2 y)>
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))>
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))>
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))>
#<alt (* -1 y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 1/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 1/2 (* -1/2 (/ y x))))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2)))>
#<alt (* 1/2 x)>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (* -1/2 y)>
#<alt (* y (- (* 1/2 (/ x y)) 1/2))>
#<alt (* y (- (* 1/2 (/ x y)) 1/2))>
#<alt (* y (- (* 1/2 (/ x y)) 1/2))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))>
#<alt -1>
#<alt (- (* 2 (/ x y)) 1)>
#<alt (- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)>
#<alt (- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ y x))) (/ y x))>
#<alt (- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x))>
#<alt (- (+ 1 (+ (* -1 (/ y x)) (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3)))) (+ (/ y x) (/ (* y (- (* -1 y) y)) (pow x 2))))>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ y x))) (/ y x))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (/ (* y (- (* -1 y) y)) x)) x)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (* -1 (/ (+ (* -1 (* y (- (* -1 y) y))) (/ (* (pow y 2) (- (* -1 y) y)) x)) x))) x)))>
#<alt 1>
#<alt (+ 1 (* -2 (/ y x)))>
#<alt (+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))>
#<alt (+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))>
#<alt -1>
#<alt (- (/ x y) (+ 1 (* -1 (/ x y))))>
#<alt (- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (/ x y)) (+ 1 (* -1 (/ x y))))>
#<alt (- (+ (/ x y) (/ (* (pow x 2) (- x (* -1 x))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (/ (* x (- x (* -1 x))) (pow y 2)))))>
#<alt -1>
#<alt (- (* -1 (/ (- (* -1 x) x) y)) 1)>
#<alt (- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (* x (- (* -1 x) x)) y))) x) y)) 1)>
#<alt (- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 x) x)) y)) (* -1 (* x (- (* -1 x) x)))) y))) x) y)) 1)>
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (* 3/2 x)>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* 3/2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (+ x (* 1/2 x))>
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))>
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))>
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))>
#<alt (* -1/2 y)>
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))>
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))>
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))>
#<alt (/ 1 y)>
#<alt (+ (* -1 (/ x (pow y 2))) (/ 1 y))>
#<alt (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))>
#<alt (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* -1 (/ y x))) x)>
#<alt (/ (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) x)>
#<alt (/ (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (/ y x) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow y 2) x) y) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x)) y) x)) 1) x))>
#<alt (/ 1 x)>
#<alt (+ (* -1 (/ y (pow x 2))) (/ 1 x))>
#<alt (+ (* y (- (/ y (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x))>
#<alt (+ (* y (- (* y (+ (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))>
#<alt (/ 1 y)>
#<alt (/ (+ 1 (* -1 (/ x y))) y)>
#<alt (/ (- (+ 1 (/ (pow x 2) (pow y 2))) (/ x y)) y)>
#<alt (/ (- (+ 1 (* -1 (/ (pow x 3) (pow y 3)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))) y)>
#<alt (/ 1 y)>
#<alt (* -1 (/ (- (/ x y) 1) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow x 2) y) x) y)) 1) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y)) x) y)) 1) y))>

Calls

87 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(/ 1 (+ (* (- x y) 1/2) x))
1.0ms	x	@	0	(* (- x y) (/ 1 (+ x y)))
1.0ms	y	@	inf	(* -1/2 y)
0.0ms	y	@	0	(* (- x y) (/ 1 (+ x y)))
0.0ms	x	@	inf	(/ 1 (+ (* (- x y) 1/2) x))

simplify392.0ms (5.7%)

Memory

17.4MiB live, 644.0MiB allocated

Algorithm

1×	egg-herbie

Rules

9 178×	`lower-fma.f64`
9 178×	`lower-fma.f32`
4 142×	`lower-*.f64`
4 142×	`lower-*.f32`
3 500×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	407	2805
1	1232	2696
2	3429	2585
0	8352	2389

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 336

Calls

Call 1

Inputs
(* -1/2 y)
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(* 3/2 x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* 3/2 x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(+ x (* 1/2 x))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(* -1/2 y)
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* -1/2 y)
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
x
(+ x (* -1/2 y))
(+ x (* -1/2 y))
(+ x (* -1/2 y))
(* -1/2 y)
(* y (- (/ x y) 1/2))
(* y (- (/ x y) 1/2))
(* y (- (/ x y) 1/2))
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(* -1 (* y (+ 1/2 (* -1 (/ x y)))))
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x
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x
(* -1 (* x (- (* 1/2 (/ y x)) 1)))
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(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
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(+ (* -1/2 y) (* 3/2 x))
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(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
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(- y x)
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y
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y
(* -1 (* y (- (/ x y) 1)))
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(* -1 (* y (- (/ x y) 1)))
y
(+ y (* -1 x))
(+ y (* -1 x))
(+ y (* -1 x))
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(* -1 x)
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(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1/2 y)
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
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(* x (+ 3/2 (* -1/2 (/ y x))))
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(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(/ -2 y)
(- (* -6 (/ x (pow y 2))) (* 2 (/ 1 y)))
(- (* x (- (* -18 (/ x (pow y 3))) (* 6 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))
(- (* x (- (* x (- (* -54 (/ x (pow y 4))) (* 18 (/ 1 (pow y 3))))) (* 6 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))
(/ 2/3 x)
(/ (+ 2/3 (* 2/9 (/ y x))) x)
(/ (- (+ 2/3 (* 2/27 (/ (pow y 2) (pow x 2)))) (* -2/9 (/ y x))) x)
(/ (- (+ 2/3 (* 2/81 (/ (pow y 3) (pow x 3)))) (+ (* -2/9 (/ y x)) (* -2/27 (/ (pow y 2) (pow x 2))))) x)
(/ 2/3 x)
(* -1 (/ (- (* -2/9 (/ y x)) 2/3) x))
(* -1 (/ (- (* -1 (/ (- (* 2/27 (/ (pow y 2) x)) (* -2/9 y)) x)) 2/3) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -2/81 (/ (pow y 3) x)) (* 2/27 (pow y 2))) x)) (* -2/9 y)) x)) 2/3) x))
(/ 1 (+ x (* 1/2 x)))
(+ (* 1/2 (/ y (pow (+ x (* 1/2 x)) 2))) (/ 1 (+ x (* 1/2 x))))
(+ (* y (+ (* 1/4 (/ y (pow (+ x (* 1/2 x)) 3))) (* 1/2 (/ 1 (pow (+ x (* 1/2 x)) 2))))) (/ 1 (+ x (* 1/2 x))))
(+ (* y (+ (* y (+ (* 1/8 (/ y (pow (+ x (* 1/2 x)) 4))) (* 1/4 (/ 1 (pow (+ x (* 1/2 x)) 3))))) (* 1/2 (/ 1 (pow (+ x (* 1/2 x)) 2))))) (/ 1 (+ x (* 1/2 x))))
(/ -2 y)
(/ (- (* -4 (/ (+ x (* 1/2 x)) y)) 2) y)
(/ (- (* -8 (/ (pow (+ x (* 1/2 x)) 2) (pow y 2))) (+ 2 (* 4 (/ (+ x (* 1/2 x)) y)))) y)
(/ (- (* -16 (/ (pow (+ x (* 1/2 x)) 3) (pow y 3))) (+ 2 (+ (* 4 (/ (+ x (* 1/2 x)) y)) (* 8 (/ (pow (+ x (* 1/2 x)) 2) (pow y 2)))))) y)
(/ -2 y)
(* -1 (/ (+ 2 (* 4 (/ (+ x (* 1/2 x)) y))) y))
(* -1 (/ (+ 2 (* -1 (/ (- (* -8 (/ (pow (+ x (* 1/2 x)) 2) y)) (* 4 (+ x (* 1/2 x)))) y))) y))
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow (+ x (* 1/2 x)) 3) y)) (* -8 (pow (+ x (* 1/2 x)) 2))) y)) (* 4 (+ x (* 1/2 x)))) y))) y))
(* -1/2 y)
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(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
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(* -1/2 y)
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
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x
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(* x (+ 1 (* -1 (/ y x))))
x
(* -1 (* x (- (/ y x) 1)))
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x
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-1
(- (* 2 (/ x y)) 1)
(- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)
(- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)
1
(- (+ 1 (* -1 (/ y x))) (/ y x))
(- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x))
(- (+ 1 (+ (* -1 (/ y x)) (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3)))) (+ (/ y x) (/ (* y (- (* -1 y) y)) (pow x 2))))
1
(- (+ 1 (* -1 (/ y x))) (/ y x))
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(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (* -1 (/ (+ (* -1 (* y (- (* -1 y) y))) (/ (* (pow y 2) (- (* -1 y) y)) x)) x))) x)))
1
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(- (+ (/ x y) (/ (* (pow x 2) (- x (* -1 x))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (/ (* x (- x (* -1 x))) (pow y 2)))))
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(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (* x (- (* -1 x) x)) y))) x) y)) 1)
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 x) x)) y)) (* -1 (* x (- (* -1 x) x)))) y))) x) y)) 1)
(* -1/2 y)
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(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
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(/ 1 y)
(+ (* -1 (/ x (pow y 2))) (/ 1 y))
(+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))
(+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))
(/ 1 x)
(/ (+ 1 (* -1 (/ y 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 x)
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(* -1 (/ (- (* -1 (/ (- (/ (pow y 2) x) y) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x)) y) x)) 1) x))
(/ 1 x)
(+ (* -1 (/ y (pow x 2))) (/ 1 x))
(+ (* y (- (/ y (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x))
(+ (* y (- (* y (+ (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))
(/ 1 y)
(/ (+ 1 (* -1 (/ x y))) 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))) y)
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(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y)) x) y)) 1) y))

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

rewrite409.0ms (6%)

Memory

-32.8MiB live, 667.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 392×	`lower-fma.f32`
5 384×	`lower-fma.f64`
4 414×	`lower-/.f32`
4 406×	`lower-/.f64`
4 324×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	120
0	44	90
1	199	82
2	1734	82
0	8340	82

Stop Event

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

Counts

15 → 1 219

Calls

Call 1

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

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

eval266.0ms (3.9%)

Memory: 3.0MiB live, 354.7MiB allocated
Compiler: Compiled 43 538 to 4 048 computations (90.7% saved)

prune203.0ms (3%)

Memory

37.9MiB live, 389.0MiB allocated

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	1 682	5	1 687
Fresh	8	1	9
Picked	3	2	5
Done	0	0	0
Total	1 693	8	1 701

Accuracy

100.0%

Counts

1 701 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
▶	49.8%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- x y) 1/2) x)) (/.f64 #s(literal 2/3 binary64) x)))
	50.1%	(+.f64 x (/.f64 (.f64 (+.f64 x y) (.f64 (-.f64 x y) #s(approx (/ 1 (+ x y)) (/.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))
▶	59.3%	(+.f64 x #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y)))
▶	99.9%	#s(approx (/ 1 (/ 1 (+ (* (- x y) 1/2) x))) (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x)))
▶	90.7%	#s(approx (/ 1 (/ 1 (+ (* (- x y) 1/2) x))) (*.f64 y (fma.f64 #s(literal 3/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))))
▶	50.0%	#s(approx (/ 1 (/ 1 (+ (* (- x y) 1/2) x))) (*.f64 #s(literal 3/2 binary64) x))
✓	50.9%	#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))

Compiler

Compiled 134 to 87 computations (35.1% saved)

simplify266.0ms (3.9%)

Memory

-21.7MiB live, 306.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 2/3 binary64) x)
✓	cost-diff	0	#s(approx (/ 1 (+ (* (- x y) 1/2) x)) (/.f64 #s(literal 2/3 binary64) x))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- x y) 1/2) x)) (/.f64 #s(literal 2/3 binary64) x)))
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	0	(fma.f64 #s(literal 3/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))
✓	cost-diff	0	#s(approx (/ 1 (/ 1 (+ (* (- x y) 1/2) x))) (*.f64 y (fma.f64 #s(literal 3/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))))
✓	cost-diff	832	(*.f64 y (fma.f64 #s(literal 3/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)))
✓	cost-diff	0	(*.f64 #s(literal -1/2 binary64) y)
✓	cost-diff	0	#s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y))
✓	cost-diff	0	(+.f64 x #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y)))
✓	cost-diff	0	(*.f64 #s(literal 3/2 binary64) x)
✓	cost-diff	0	#s(approx (/ 1 (/ 1 (+ (* (- x y) 1/2) x))) (*.f64 #s(literal 3/2 binary64) x))
✓	cost-diff	0	(*.f64 #s(literal 3/2 binary64) x)
✓	cost-diff	0	#s(approx (/ 1 (/ 1 (+ (* (- x y) 1/2) x))) (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x)))
✓	cost-diff	128	(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x))

Rules

6 848×	`lower-fma.f32`
6 844×	`lower-fma.f64`
3 792×	`lower-*.f32`
3 786×	`lower-*.f64`
2 252×	`lower-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	28	152
0	38	138
1	64	138
2	103	138
3	180	131
4	308	131
5	562	131
6	1810	131
7	4759	131
8	7509	131
0	8320	131

Stop Event

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

Calls

Call 1

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

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

localize85.0ms (1.2%)

Memory

-1.0MiB live, 154.0MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- x y) 1/2) x)) (/.f64 #s(literal 2/3 binary64) x)))
✓	accuracy	99.5%	(/.f64 #s(literal 2/3 binary64) x)
✓	accuracy	50.1%	#s(approx (/ 1 (+ (* (- x y) 1/2) x)) (/.f64 #s(literal 2/3 binary64) x))
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	#s(approx (/ 1 (/ 1 (+ (* (- x y) 1/2) x))) (*.f64 y (fma.f64 #s(literal 3/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))))
✓	accuracy	99.8%	(fma.f64 #s(literal 3/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))
✓	accuracy	90.8%	(*.f64 y (fma.f64 #s(literal 3/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)))
✓	accuracy	100.0%	(*.f64 #s(literal -1/2 binary64) y)
✓	accuracy	99.9%	(+.f64 x #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y)))
✓	accuracy	51.0%	#s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y))
✓	accuracy	100.0%	(*.f64 #s(literal 3/2 binary64) x)
✓	accuracy	50.0%	#s(approx (/ 1 (/ 1 (+ (* (- x y) 1/2) x))) (*.f64 #s(literal 3/2 binary64) x))
✓	accuracy	100.0%	(*.f64 #s(literal 3/2 binary64) x)
✓	accuracy	100.0%	#s(approx (/ 1 (/ 1 (+ (* (- x y) 1/2) x))) (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x)))
✓	accuracy	99.9%	(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x))

Samples

42.0ms	225×	0	valid
5.0ms	17×	1	valid
4.0ms	10×	2	valid
2.0ms	4×	3	valid

Compiler

Compiled 121 to 25 computations (79.3% saved)

Precisions

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

ival-mult: 13.0ms (36.2% of total)

ival-div: 10.0ms (27.9% of total)

ival-add: 5.0ms (13.9% of total)

const: 4.0ms (11.1% of total)

adjust: 2.0ms (5.6% of total)

ival-sub: 2.0ms (5.6% of total)

exact: 1.0ms (2.8% of total)

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

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

series14.0ms (0.2%)

Memory

-10.4MiB live, 27.8MiB allocated

Counts

14 → 300

Calls

Call 1

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

Outputs
#<alt (* 3/2 x)>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (* -1/2 y)>
#<alt (* y (- (* 3/2 (/ x y)) 1/2))>
#<alt (* y (- (* 3/2 (/ x y)) 1/2))>
#<alt (* y (- (* 3/2 (/ x y)) 1/2))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))>
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (* 3/2 x)>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* 3/2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (* 3/2 x)>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* 3/2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (+ x (* 1/2 x))>
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))>
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))>
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))>
#<alt (* -1/2 y)>
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))>
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))>
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (* 3/2 x)>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* 3/2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (+ x (* 1/2 x))>
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))>
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))>
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))>
#<alt (* -1/2 y)>
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))>
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))>
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))>
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (* 3/2 x)>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* 3/2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (+ x (* 1/2 x))>
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))>
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))>
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))>
#<alt (* -1/2 y)>
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))>
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))>
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))>
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 1/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 1/2 (* -1/2 (/ y x))))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2)))>
#<alt (* 1/2 x)>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (* -1/2 y)>
#<alt (* y (- (* 1/2 (/ x y)) 1/2))>
#<alt (* y (- (* 1/2 (/ x y)) 1/2))>
#<alt (* y (- (* 1/2 (/ x y)) 1/2))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* 3/2 x)>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (* -1/2 y)>
#<alt (* y (- (* 3/2 (/ x y)) 1/2))>
#<alt (* y (- (* 3/2 (/ x y)) 1/2))>
#<alt (* y (- (* 3/2 (/ x y)) 1/2))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))>
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (* 3/2 x)>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* 3/2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (* 3/2 x)>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* 3/2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (+ x (* 1/2 x))>
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))>
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))>
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))>
#<alt (* -1/2 y)>
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))>
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))>
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))>
#<alt -1/2>
#<alt (- (* 3/2 (/ x y)) 1/2)>
#<alt (- (* 3/2 (/ x y)) 1/2)>
#<alt (- (* 3/2 (/ x y)) 1/2)>
#<alt (* 3/2 (/ x y))>
#<alt (* x (- (* 3/2 (/ 1 y)) (* 1/2 (/ 1 x))))>
#<alt (* x (- (* 3/2 (/ 1 y)) (* 1/2 (/ 1 x))))>
#<alt (* x (- (* 3/2 (/ 1 y)) (* 1/2 (/ 1 x))))>
#<alt (* 3/2 (/ x y))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) (* 3/2 (/ 1 y)))))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) (* 3/2 (/ 1 y)))))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) (* 3/2 (/ 1 y)))))>
#<alt (* 3/2 (/ x y))>
#<alt (/ (+ (* -1/2 y) (* 3/2 x)) y)>
#<alt (/ (+ (* -1/2 y) (* 3/2 x)) y)>
#<alt (/ (+ (* -1/2 y) (* 3/2 x)) y)>
#<alt -1/2>
#<alt (- (* 3/2 (/ x y)) 1/2)>
#<alt (- (* 3/2 (/ x y)) 1/2)>
#<alt (- (* 3/2 (/ x y)) 1/2)>
#<alt -1/2>
#<alt (- (* 3/2 (/ x y)) 1/2)>
#<alt (- (* 3/2 (/ x y)) 1/2)>
#<alt (- (* 3/2 (/ x y)) 1/2)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (* 3/2 x)>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* 3/2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (+ x (* 1/2 x))>
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))>
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))>
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))>
#<alt (* -1/2 y)>
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))>
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))>
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))>
#<alt (/ -2 y)>
#<alt (- (* -6 (/ x (pow y 2))) (* 2 (/ 1 y)))>
#<alt (- (* x (- (* -18 (/ x (pow y 3))) (* 6 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))>
#<alt (- (* x (- (* x (- (* -54 (/ x (pow y 4))) (* 18 (/ 1 (pow y 3))))) (* 6 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))>
#<alt (/ 2/3 x)>
#<alt (/ (+ 2/3 (* 2/9 (/ y x))) x)>
#<alt (/ (- (+ 2/3 (* 2/27 (/ (pow y 2) (pow x 2)))) (* -2/9 (/ y x))) x)>
#<alt (/ (- (+ 2/3 (* 2/81 (/ (pow y 3) (pow x 3)))) (+ (* -2/9 (/ y x)) (* -2/27 (/ (pow y 2) (pow x 2))))) x)>
#<alt (/ 2/3 x)>
#<alt (* -1 (/ (- (* -2/9 (/ y x)) 2/3) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 2/27 (/ (pow y 2) x)) (* -2/9 y)) x)) 2/3) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -2/81 (/ (pow y 3) x)) (* 2/27 (pow y 2))) x)) (* -2/9 y)) x)) 2/3) x))>
#<alt (/ 1 (+ x (* 1/2 x)))>
#<alt (+ (* 1/2 (/ y (pow (+ x (* 1/2 x)) 2))) (/ 1 (+ x (* 1/2 x))))>
#<alt (+ (* y (+ (* 1/4 (/ y (pow (+ x (* 1/2 x)) 3))) (* 1/2 (/ 1 (pow (+ x (* 1/2 x)) 2))))) (/ 1 (+ x (* 1/2 x))))>
#<alt (+ (* y (+ (* y (+ (* 1/8 (/ y (pow (+ x (* 1/2 x)) 4))) (* 1/4 (/ 1 (pow (+ x (* 1/2 x)) 3))))) (* 1/2 (/ 1 (pow (+ x (* 1/2 x)) 2))))) (/ 1 (+ x (* 1/2 x))))>
#<alt (/ -2 y)>
#<alt (/ (- (* -4 (/ (+ x (* 1/2 x)) y)) 2) y)>
#<alt (/ (- (* -8 (/ (pow (+ x (* 1/2 x)) 2) (pow y 2))) (+ 2 (* 4 (/ (+ x (* 1/2 x)) y)))) y)>
#<alt (/ (- (* -16 (/ (pow (+ x (* 1/2 x)) 3) (pow y 3))) (+ 2 (+ (* 4 (/ (+ x (* 1/2 x)) y)) (* 8 (/ (pow (+ x (* 1/2 x)) 2) (pow y 2)))))) y)>
#<alt (/ -2 y)>
#<alt (* -1 (/ (+ 2 (* 4 (/ (+ x (* 1/2 x)) y))) y))>
#<alt (* -1 (/ (+ 2 (* -1 (/ (- (* -8 (/ (pow (+ x (* 1/2 x)) 2) y)) (* 4 (+ x (* 1/2 x)))) y))) y))>
#<alt (* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow (+ x (* 1/2 x)) 3) y)) (* -8 (pow (+ x (* 1/2 x)) 2))) y)) (* 4 (+ x (* 1/2 x)))) y))) y))>
#<alt (/ 2/3 x)>
#<alt (/ 2/3 x)>
#<alt (/ 2/3 x)>
#<alt (/ 2/3 x)>
#<alt (/ 2/3 x)>
#<alt (/ 2/3 x)>
#<alt (/ 2/3 x)>
#<alt (/ 2/3 x)>
#<alt (/ 2/3 x)>
#<alt (/ 2/3 x)>
#<alt (/ 2/3 x)>
#<alt (/ 2/3 x)>

Calls

75 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	(/ x y)
2.0ms	y	@	-inf	(/ 1 (+ (* (- x y) 1/2) x))
1.0ms	x	@	inf	(* y (+ (* 3/2 (/ x y)) -1/2))
0.0ms	y	@	-inf	(* y (+ (* 3/2 (/ x y)) -1/2))
0.0ms	y	@	0	(* y (+ (* 3/2 (/ x y)) -1/2))

simplify402.0ms (5.9%)

Memory

45.3MiB live, 663.4MiB allocated

Algorithm

1×	egg-herbie

Rules

10 860×	`lower-fma.f64`
10 860×	`lower-fma.f32`
5 924×	`lower-*.f64`
5 924×	`lower-*.f32`
1 852×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	213	1878
1	606	1852
2	1715	1820
3	5904	1816
0	8433	1626

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 300

Calls

Call 1

Inputs
(* 3/2 x)
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(* -1/2 y)
(* y (- (* 3/2 (/ x y)) 1/2))
(* y (- (* 3/2 (/ x y)) 1/2))
(* y (- (* 3/2 (/ x y)) 1/2))
(* -1/2 y)
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(* -1/2 y)
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(* 3/2 x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* 3/2 x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1/2 y)
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(* 3/2 x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* 3/2 x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(+ x (* 1/2 x))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(* -1/2 y)
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* -1/2 y)
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* -1/2 y)
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(* 3/2 x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* 3/2 x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(+ x (* 1/2 x))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(* -1/2 y)
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* -1/2 y)
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1/2 y)
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(* 3/2 x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* 3/2 x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(+ x (* 1/2 x))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(* -1/2 y)
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* -1/2 y)
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1/2 y)
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(* 1/2 x)
(* x (+ 1/2 (* -1/2 (/ y x))))
(* x (+ 1/2 (* -1/2 (/ y x))))
(* x (+ 1/2 (* -1/2 (/ y x))))
(* 1/2 x)
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(* 1/2 x)
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(* -1/2 y)
(* y (- (* 1/2 (/ x y)) 1/2))
(* y (- (* 1/2 (/ x y)) 1/2))
(* y (- (* 1/2 (/ x y)) 1/2))
(* -1/2 y)
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* 3/2 x)
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(* -1/2 y)
(* y (- (* 3/2 (/ x y)) 1/2))
(* y (- (* 3/2 (/ x y)) 1/2))
(* y (- (* 3/2 (/ x y)) 1/2))
(* -1/2 y)
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(* -1/2 y)
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(* 3/2 x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* 3/2 x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1/2 y)
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(* 3/2 x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* 3/2 x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(+ x (* 1/2 x))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(* -1/2 y)
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* -1/2 y)
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
-1/2
(- (* 3/2 (/ x y)) 1/2)
(- (* 3/2 (/ x y)) 1/2)
(- (* 3/2 (/ x y)) 1/2)
(* 3/2 (/ x y))
(* x (- (* 3/2 (/ 1 y)) (* 1/2 (/ 1 x))))
(* x (- (* 3/2 (/ 1 y)) (* 1/2 (/ 1 x))))
(* x (- (* 3/2 (/ 1 y)) (* 1/2 (/ 1 x))))
(* 3/2 (/ x y))
(* -1 (* x (- (* 1/2 (/ 1 x)) (* 3/2 (/ 1 y)))))
(* -1 (* x (- (* 1/2 (/ 1 x)) (* 3/2 (/ 1 y)))))
(* -1 (* x (- (* 1/2 (/ 1 x)) (* 3/2 (/ 1 y)))))
(* 3/2 (/ x y))
(/ (+ (* -1/2 y) (* 3/2 x)) y)
(/ (+ (* -1/2 y) (* 3/2 x)) y)
(/ (+ (* -1/2 y) (* 3/2 x)) y)
-1/2
(- (* 3/2 (/ x y)) 1/2)
(- (* 3/2 (/ x y)) 1/2)
(- (* 3/2 (/ x y)) 1/2)
-1/2
(- (* 3/2 (/ x y)) 1/2)
(- (* 3/2 (/ x y)) 1/2)
(- (* 3/2 (/ x y)) 1/2)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* -1/2 y)
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(* 3/2 x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* 3/2 x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(+ x (* 1/2 x))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(* -1/2 y)
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* -1/2 y)
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(/ -2 y)
(- (* -6 (/ x (pow y 2))) (* 2 (/ 1 y)))
(- (* x (- (* -18 (/ x (pow y 3))) (* 6 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))
(- (* x (- (* x (- (* -54 (/ x (pow y 4))) (* 18 (/ 1 (pow y 3))))) (* 6 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))
(/ 2/3 x)
(/ (+ 2/3 (* 2/9 (/ y x))) x)
(/ (- (+ 2/3 (* 2/27 (/ (pow y 2) (pow x 2)))) (* -2/9 (/ y x))) x)
(/ (- (+ 2/3 (* 2/81 (/ (pow y 3) (pow x 3)))) (+ (* -2/9 (/ y x)) (* -2/27 (/ (pow y 2) (pow x 2))))) x)
(/ 2/3 x)
(* -1 (/ (- (* -2/9 (/ y x)) 2/3) x))
(* -1 (/ (- (* -1 (/ (- (* 2/27 (/ (pow y 2) x)) (* -2/9 y)) x)) 2/3) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -2/81 (/ (pow y 3) x)) (* 2/27 (pow y 2))) x)) (* -2/9 y)) x)) 2/3) x))
(/ 1 (+ x (* 1/2 x)))
(+ (* 1/2 (/ y (pow (+ x (* 1/2 x)) 2))) (/ 1 (+ x (* 1/2 x))))
(+ (* y (+ (* 1/4 (/ y (pow (+ x (* 1/2 x)) 3))) (* 1/2 (/ 1 (pow (+ x (* 1/2 x)) 2))))) (/ 1 (+ x (* 1/2 x))))
(+ (* y (+ (* y (+ (* 1/8 (/ y (pow (+ x (* 1/2 x)) 4))) (* 1/4 (/ 1 (pow (+ x (* 1/2 x)) 3))))) (* 1/2 (/ 1 (pow (+ x (* 1/2 x)) 2))))) (/ 1 (+ x (* 1/2 x))))
(/ -2 y)
(/ (- (* -4 (/ (+ x (* 1/2 x)) y)) 2) y)
(/ (- (* -8 (/ (pow (+ x (* 1/2 x)) 2) (pow y 2))) (+ 2 (* 4 (/ (+ x (* 1/2 x)) y)))) y)
(/ (- (* -16 (/ (pow (+ x (* 1/2 x)) 3) (pow y 3))) (+ 2 (+ (* 4 (/ (+ x (* 1/2 x)) y)) (* 8 (/ (pow (+ x (* 1/2 x)) 2) (pow y 2)))))) y)
(/ -2 y)
(* -1 (/ (+ 2 (* 4 (/ (+ x (* 1/2 x)) y))) y))
(* -1 (/ (+ 2 (* -1 (/ (- (* -8 (/ (pow (+ x (* 1/2 x)) 2) y)) (* 4 (+ x (* 1/2 x)))) y))) y))
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow (+ x (* 1/2 x)) 3) y)) (* -8 (pow (+ x (* 1/2 x)) 2))) y)) (* 4 (+ x (* 1/2 x)))) y))) y))
(/ 2/3 x)
(/ 2/3 x)
(/ 2/3 x)
(/ 2/3 x)
(/ 2/3 x)
(/ 2/3 x)
(/ 2/3 x)
(/ 2/3 x)
(/ 2/3 x)
(/ 2/3 x)
(/ 2/3 x)
(/ 2/3 x)

Outputs
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(+ (* -1/2 y) (* 3/2 x))
(fma.f64 #s(literal 3/2 binary64) x (*.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) (* 3/2 x))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* y (- (* 3/2 (/ 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 (- (* 3/2 (/ x y)) 1/2))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1 (* y (+ 1/2 (* -3/2 (/ 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 (+ 1/2 (* -3/2 (/ x y)))))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(+ (* -1/2 y) (* 3/2 x))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
(+ (* -1/2 y) (* 3/2 x))
(fma.f64 #s(literal 3/2 binary64) x (*.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)
(* x (+ 3/2 (* -1/2 (/ y x))))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
(* x (+ 3/2 (* -1/2 (/ y x))))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
(* x (+ 3/2 (* -1/2 (/ y 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 (* 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)) 3/2)))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
(* -1/2 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) (* 3/2 x))
(fma.f64 #s(literal 3/2 binary64) x (*.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)
(* x (+ 3/2 (* -1/2 (/ y x))))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
(* x (+ 3/2 (* -1/2 (/ y x))))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
(* x (+ 3/2 (* -1/2 (/ y x))))
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(fma.f64 #s(literal 3/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))
(- (* 3/2 (/ x y)) 1/2)
(fma.f64 #s(literal 3/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(- (* 3/2 (/ x y)) 1/2)
(fma.f64 #s(literal 3/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))
(- (* 3/2 (/ x y)) 1/2)
(fma.f64 #s(literal 3/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))
(- (* 3/2 (/ x y)) 1/2)
(fma.f64 #s(literal 3/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(+ (* -1/2 y) (* 3/2 x))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
(+ (* -1/2 y) (* 3/2 x))
(fma.f64 #s(literal 3/2 binary64) x (*.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)
(* x (+ 3/2 (* -1/2 (/ y x))))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
(* x (+ 3/2 (* -1/2 (/ y x))))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
(* x (+ 3/2 (* -1/2 (/ y 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 (* 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)) 3/2)))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
(+ 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 (+ (* -1/2 y) (* 1/2 x)))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* 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)) (/ x y)) 1/2))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
(* -1 (* y (+ 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 (/ (+ x (* 1/2 x)) y)))))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(- (* -6 (/ x (pow y 2))) (* 2 (/ 1 y)))
(/.f64 (fma.f64 x (/.f64 #s(literal -6 binary64) y) #s(literal -2 binary64)) y)
(- (* x (- (* -18 (/ x (pow y 3))) (* 6 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))
(fma.f64 x (.f64 #s(literal -18 binary64) (/.f64 x (.f64 y (*.f64 y y)))) (/.f64 (fma.f64 x (/.f64 #s(literal -6 binary64) y) #s(literal -2 binary64)) y))
(- (* x (- (* x (- (* -54 (/ x (pow y 4))) (* 18 (/ 1 (pow y 3))))) (* 6 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))
(fma.f64 (fma.f64 x (/.f64 #s(literal -54 binary64) (.f64 y (.f64 y (.f64 y y)))) (/.f64 #s(literal -18 binary64) (.f64 y (.f64 y y)))) (.f64 x x) (/.f64 (fma.f64 x (/.f64 #s(literal -6 binary64) y) #s(literal -2 binary64)) y))
(/ 2/3 x)
(/.f64 #s(literal 2/3 binary64) x)
(/ (+ 2/3 (* 2/9 (/ y x))) x)
(/.f64 (fma.f64 y (/.f64 #s(literal 2/9 binary64) x) #s(literal 2/3 binary64)) x)
(/ (- (+ 2/3 (* 2/27 (/ (pow y 2) (pow x 2)))) (* -2/9 (/ y x))) x)
(/.f64 (+.f64 #s(literal 2/3 binary64) (/.f64 (fma.f64 y #s(literal 2/9 binary64) (.f64 y (.f64 (/.f64 y x) #s(literal 2/27 binary64)))) x)) x)
(/ (- (+ 2/3 (* 2/81 (/ (pow y 3) (pow x 3)))) (+ (* -2/9 (/ y x)) (* -2/27 (/ (pow y 2) (pow x 2))))) x)
(/.f64 (+.f64 #s(literal 2/3 binary64) (/.f64 (fma.f64 y #s(literal 2/9 binary64) (/.f64 (fma.f64 y (.f64 y #s(literal 2/27 binary64)) (/.f64 (.f64 y (.f64 (.f64 y y) #s(literal 2/81 binary64))) x)) x)) x)) x)
(/ 2/3 x)
(/.f64 #s(literal 2/3 binary64) x)
(* -1 (/ (- (* -2/9 (/ y x)) 2/3) x))
(/.f64 (fma.f64 y (/.f64 #s(literal 2/9 binary64) x) #s(literal 2/3 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* 2/27 (/ (pow y 2) x)) (* -2/9 y)) x)) 2/3) x))
(/.f64 (+.f64 #s(literal 2/3 binary64) (/.f64 (fma.f64 y #s(literal 2/9 binary64) (.f64 y (.f64 (/.f64 y x) #s(literal 2/27 binary64)))) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -2/81 (/ (pow y 3) x)) (* 2/27 (pow y 2))) x)) (* -2/9 y)) x)) 2/3) x))
(/.f64 (+.f64 #s(literal 2/3 binary64) (/.f64 (fma.f64 y #s(literal 2/9 binary64) (/.f64 (fma.f64 y (.f64 y #s(literal 2/27 binary64)) (/.f64 (.f64 y (.f64 (.f64 y y) #s(literal 2/81 binary64))) x)) x)) x)) x)
(/ 1 (+ x (* 1/2 x)))
(/.f64 #s(literal 2/3 binary64) x)
(+ (* 1/2 (/ y (pow (+ x (* 1/2 x)) 2))) (/ 1 (+ x (* 1/2 x))))
(/.f64 (fma.f64 y (/.f64 #s(literal 2/9 binary64) x) #s(literal 2/3 binary64)) x)
(+ (* y (+ (* 1/4 (/ y (pow (+ x (* 1/2 x)) 3))) (* 1/2 (/ 1 (pow (+ x (* 1/2 x)) 2))))) (/ 1 (+ x (* 1/2 x))))
(fma.f64 (.f64 y y) (/.f64 #s(literal 2/27 binary64) (.f64 x (*.f64 x x))) (/.f64 (fma.f64 y (/.f64 #s(literal 2/9 binary64) x) #s(literal 2/3 binary64)) x))
(+ (* y (+ (* y (+ (* 1/8 (/ y (pow (+ x (* 1/2 x)) 4))) (* 1/4 (/ 1 (pow (+ x (* 1/2 x)) 3))))) (* 1/2 (/ 1 (pow (+ x (* 1/2 x)) 2))))) (/ 1 (+ x (* 1/2 x))))
(fma.f64 (.f64 y y) (fma.f64 y (/.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal 3/2 binary64) x) #s(literal 4 binary64))) (/.f64 #s(literal 2/27 binary64) (.f64 x (.f64 x x)))) (/.f64 (fma.f64 y (/.f64 #s(literal 2/9 binary64) x) #s(literal 2/3 binary64)) x))
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(/ (- (* -4 (/ (+ x (* 1/2 x)) y)) 2) y)
(/.f64 (fma.f64 x (/.f64 #s(literal -6 binary64) y) #s(literal -2 binary64)) y)
(/ (- (* -8 (/ (pow (+ x (* 1/2 x)) 2) (pow y 2))) (+ 2 (* 4 (/ (+ x (* 1/2 x)) y)))) y)
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (fma.f64 x #s(literal -6 binary64) (/.f64 (.f64 #s(literal -18 binary64) (.f64 x x)) y)) y)) y)
(/ (- (* -16 (/ (pow (+ x (* 1/2 x)) 3) (pow y 3))) (+ 2 (+ (* 4 (/ (+ x (* 1/2 x)) y)) (* 8 (/ (pow (+ x (* 1/2 x)) 2) (pow y 2)))))) y)
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (fma.f64 x #s(literal -6 binary64) (/.f64 (fma.f64 #s(literal -18 binary64) (.f64 x x) (/.f64 (.f64 #s(literal -54 binary64) (.f64 x (.f64 x x))) y)) y)) y)) y)
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(* -1 (/ (+ 2 (* 4 (/ (+ x (* 1/2 x)) y))) y))
(/.f64 (fma.f64 x (/.f64 #s(literal -6 binary64) y) #s(literal -2 binary64)) y)
(* -1 (/ (+ 2 (* -1 (/ (- (* -8 (/ (pow (+ x (* 1/2 x)) 2) y)) (* 4 (+ x (* 1/2 x)))) y))) y))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (fma.f64 x #s(literal -6 binary64) (/.f64 (.f64 #s(literal -18 binary64) (.f64 x x)) y)) y)) y)
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow (+ x (* 1/2 x)) 3) y)) (* -8 (pow (+ x (* 1/2 x)) 2))) y)) (* 4 (+ x (* 1/2 x)))) y))) y))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (fma.f64 x #s(literal -6 binary64) (/.f64 (fma.f64 #s(literal -18 binary64) (.f64 x x) (/.f64 (.f64 #s(literal -54 binary64) (.f64 x (.f64 x x))) y)) y)) y)) y)
(/ 2/3 x)
(/.f64 #s(literal 2/3 binary64) x)
(/ 2/3 x)
(/.f64 #s(literal 2/3 binary64) x)
(/ 2/3 x)
(/.f64 #s(literal 2/3 binary64) x)
(/ 2/3 x)
(/.f64 #s(literal 2/3 binary64) x)
(/ 2/3 x)
(/.f64 #s(literal 2/3 binary64) x)
(/ 2/3 x)
(/.f64 #s(literal 2/3 binary64) x)
(/ 2/3 x)
(/.f64 #s(literal 2/3 binary64) x)
(/ 2/3 x)
(/.f64 #s(literal 2/3 binary64) x)
(/ 2/3 x)
(/.f64 #s(literal 2/3 binary64) x)
(/ 2/3 x)
(/.f64 #s(literal 2/3 binary64) x)
(/ 2/3 x)
(/.f64 #s(literal 2/3 binary64) x)
(/ 2/3 x)
(/.f64 #s(literal 2/3 binary64) x)

rewrite383.0ms (5.6%)

Memory

-26.2MiB live, 604.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 528×	`lower-fma.f32`
8 524×	`lower-fma.f64`
4 926×	`lower-*.f32`
4 920×	`lower-*.f64`
3 536×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	133
0	38	121
1	166	121
2	1091	121
0	8606	116

Stop Event

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

Counts

14 → 277

Calls

Call 1

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

Outputs
(+.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 (.f64 y (.f64 #s(literal 1/4 binary64) y)) (fma.f64 #s(literal -1/2 binary64) y (.f64 x #s(literal -3/2 binary64)))) (neg.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9/4 binary64)) (fma.f64 #s(literal -1/2 binary64) y (.f64 x #s(literal -3/2 binary64))))))
(-.f64 (/.f64 (.f64 y (.f64 #s(literal 1/4 binary64) y)) (fma.f64 #s(literal -1/2 binary64) y (.f64 x #s(literal -3/2 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 9/4 binary64)) (fma.f64 #s(literal -1/2 binary64) y (.f64 x #s(literal -3/2 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9/4 binary64)) (fma.f64 #s(literal 3/2 binary64) x (.f64 y #s(literal 1/2 binary64)))) (/.f64 (.f64 y (.f64 #s(literal 1/4 binary64) y)) (fma.f64 #s(literal 3/2 binary64) x (.f64 y #s(literal 1/2 binary64)))))
(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 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
(fma.f64 x #s(literal 3/2 binary64) (*.f64 #s(literal -1/2 binary64) y))
(fma.f64 (.f64 #s(literal 3/2 binary64) x) #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) y))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 3/2 binary64) x) (.f64 #s(literal -1/2 binary64) y))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 y) (*.f64 #s(literal 3/2 binary64) x))
(fma.f64 #s(literal -1 binary64) (.f64 y #s(literal 1/2 binary64)) (.f64 #s(literal 3/2 binary64) x))
(fma.f64 (neg.f64 x) #s(literal -3/2 binary64) (*.f64 #s(literal -1/2 binary64) y))
(fma.f64 (neg.f64 y) #s(literal 1/2 binary64) (*.f64 #s(literal 3/2 binary64) x))
(fma.f64 (.f64 y (.f64 #s(literal 1/4 binary64) y)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) y (.f64 x #s(literal -3/2 binary64)))) (neg.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9/4 binary64)) (fma.f64 #s(literal -1/2 binary64) y (.f64 x #s(literal -3/2 binary64))))))
(neg.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 27/8 binary64) (.f64 #s(literal -1/8 binary64) (.f64 y (.f64 y y)))) (neg.f64 (fma.f64 (.f64 #s(literal 3/2 binary64) x) (fma.f64 #s(literal 3/2 binary64) x (.f64 y #s(literal 1/2 binary64))) (.f64 y (*.f64 #s(literal 1/4 binary64) y))))))
(neg.f64 (/.f64 (fma.f64 y (.f64 #s(literal 1/4 binary64) y) (.f64 (.f64 x x) #s(literal -9/4 binary64))) (fma.f64 y #s(literal 1/2 binary64) (.f64 #s(literal 3/2 binary64) x))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 27/8 binary64) (.f64 #s(literal -1/8 binary64) (.f64 y (.f64 y y))))) (fma.f64 (.f64 #s(literal 3/2 binary64) x) (fma.f64 #s(literal 3/2 binary64) x (.f64 y #s(literal 1/2 binary64))) (.f64 y (*.f64 #s(literal 1/4 binary64) y)))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 y (.f64 #s(literal 1/4 binary64) y) (.f64 (.f64 x x) #s(literal -9/4 binary64)))) (fma.f64 #s(literal -1/2 binary64) y (.f64 x #s(literal -3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 #s(literal 9/4 binary64) x) (.f64 y (-.f64 (.f64 #s(literal 1/4 binary64) y) (.f64 #s(literal -3/4 binary64) x)))) (fma.f64 (.f64 x (.f64 x x)) #s(literal 27/8 binary64) (.f64 #s(literal -1/8 binary64) (.f64 y (*.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 3/2 binary64) x (.f64 y #s(literal 1/2 binary64))) (fma.f64 x (.f64 #s(literal 9/4 binary64) x) (.f64 #s(literal -1/4 binary64) (.f64 y y)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x)))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 27/8 binary64) (.f64 #s(literal -1/8 binary64) (.f64 y (.f64 y y)))) (fma.f64 (.f64 #s(literal 3/2 binary64) x) (fma.f64 #s(literal 3/2 binary64) x (.f64 y #s(literal 1/2 binary64))) (.f64 y (*.f64 #s(literal 1/4 binary64) y))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 27/8 binary64) (.f64 #s(literal -1/8 binary64) (.f64 y (.f64 y y)))) (fma.f64 x (.f64 #s(literal 9/4 binary64) x) (.f64 y (-.f64 (.f64 #s(literal 1/4 binary64) y) (*.f64 #s(literal -3/4 binary64) x)))))
(/.f64 (fma.f64 y (.f64 #s(literal 1/4 binary64) y) (.f64 (.f64 x x) #s(literal -9/4 binary64))) (fma.f64 #s(literal -1/2 binary64) y (.f64 x #s(literal -3/2 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 27/8 binary64) (.f64 #s(literal -1/8 binary64) (.f64 y (.f64 y y))))) (neg.f64 (fma.f64 (.f64 #s(literal 3/2 binary64) x) (fma.f64 #s(literal 3/2 binary64) x (.f64 y #s(literal 1/2 binary64))) (.f64 y (*.f64 #s(literal 1/4 binary64) y)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 27/8 binary64) (.f64 #s(literal -1/8 binary64) (.f64 y (.f64 y y))))) (neg.f64 (fma.f64 x (.f64 #s(literal 9/4 binary64) x) (.f64 y (-.f64 (.f64 #s(literal 1/4 binary64) y) (*.f64 #s(literal -3/4 binary64) x))))))
(/.f64 (neg.f64 (fma.f64 y (.f64 #s(literal 1/4 binary64) y) (.f64 (.f64 x x) #s(literal -9/4 binary64)))) (fma.f64 y #s(literal 1/2 binary64) (.f64 #s(literal 3/2 binary64) x)))
(/.f64 (fma.f64 x (.f64 #s(literal 9/4 binary64) x) (.f64 #s(literal -1/4 binary64) (.f64 y y))) (fma.f64 #s(literal 3/2 binary64) x (.f64 y #s(literal 1/2 binary64))))
(/.f64 (-.f64 (.f64 (.f64 y (.f64 #s(literal 1/4 binary64) y)) (fma.f64 #s(literal -1/2 binary64) y (.f64 x #s(literal -3/2 binary64)))) (.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 x #s(literal -3/2 binary64))) (.f64 (.f64 x x) #s(literal 9/4 binary64)))) (.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 x #s(literal -3/2 binary64))) (fma.f64 #s(literal -1/2 binary64) y (*.f64 x #s(literal -3/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 27/8 binary64) (.f64 #s(literal -1/8 binary64) (.f64 y (.f64 y y)))))) (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal 3/2 binary64) x) (fma.f64 #s(literal 3/2 binary64) x (.f64 y #s(literal 1/2 binary64))) (.f64 y (*.f64 #s(literal 1/4 binary64) y))))))
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(/.f64 (+.f64 (neg.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9/4 binary64)) (*.f64 y y))) #s(literal 1/4 binary64)) (fma.f64 (/.f64 x y) #s(literal -3/2 binary64) #s(literal -1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (.f64 x x) #s(literal 9/4 binary64)) (.f64 y y))) (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x #s(literal -3/2 binary64)) y)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9/4 binary64)) (.f64 y y)) (fma.f64 #s(literal 3/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))) (.f64 (fma.f64 #s(literal 3/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (fma.f64 #s(literal 3/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) (fma.f64 #s(literal 3/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 27/8 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) #s(literal -1/8 binary64)))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 (/.f64 x y) #s(literal 3/4 binary64) (/.f64 (.f64 (.f64 x x) #s(literal 9/4 binary64)) (*.f64 y y)))))))
(/.f64 (neg.f64 (+.f64 (neg.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9/4 binary64)) (*.f64 y y))) #s(literal 1/4 binary64))) (neg.f64 (fma.f64 (/.f64 x y) #s(literal -3/2 binary64) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (.f64 x x) #s(literal 9/4 binary64)) (.f64 y y)))) (neg.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x #s(literal -3/2 binary64)) y))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9/4 binary64)) (.f64 y y)) (fma.f64 #s(literal 3/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 3/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9/4 binary64)) (.f64 y y)) (fma.f64 #s(literal 3/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))) (/.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9/4 binary64)) (.f64 y y)) (fma.f64 #s(literal 3/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 3/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 3/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))) (.f64 (/.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9/4 binary64)) (*.f64 y y)) (fma.f64 #s(literal 3/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 3/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9/4 binary64)) (.f64 y y)) (fma.f64 #s(literal 3/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))) (/.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9/4 binary64)) (.f64 y y)) (fma.f64 #s(literal 3/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)))) (.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 3/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 3/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))))) (+.f64 (/.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9/4 binary64)) (*.f64 y y)) (fma.f64 #s(literal 3/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 3/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)))
(.f64 (fma.f64 #s(literal 27/8 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (fma.f64 (/.f64 x y) #s(literal 3/4 binary64) (/.f64 (.f64 (.f64 x x) #s(literal 9/4 binary64)) (.f64 y y))))))
(.f64 (fma.f64 #s(literal 27/8 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (/.f64 x y) (-.f64 (*.f64 #s(literal 9/4 binary64) (/.f64 x y)) #s(literal -3/4 binary64))))))
(.f64 (+.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9/4 binary64)) (.f64 y y)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))))
(.f64 (neg.f64 (fma.f64 #s(literal 27/8 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 (/.f64 x y) #s(literal 3/4 binary64) (/.f64 (.f64 (.f64 x x) #s(literal 9/4 binary64)) (.f64 y y)))))))
(.f64 (+.f64 (neg.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9/4 binary64)) (.f64 y y))) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) #s(literal -3/2 binary64) #s(literal -1/2 binary64))))
(.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (.f64 x x) #s(literal 9/4 binary64)) (.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x #s(literal -3/2 binary64)) y))))
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 x (neg.f64 y)))
(neg.f64 (/.f64 x (neg.f64 y)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 y))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y x)))
(/.f64 x y)
(/.f64 #s(literal 1 binary64) (/.f64 y x))
(/.f64 #s(literal -1 binary64) (/.f64 y (neg.f64 x)))
(/.f64 (neg.f64 x) (neg.f64 y))
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 #s(literal -1 binary64) (/.f64 x (neg.f64 y)))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal -1 binary64) y))
(exp.f64 (.f64 (log.f64 #s(approx (/ 1 (+ ( (- x y) 1/2) x)) (/.f64 #s(literal 2/3 binary64) x))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ (* (- x y) 1/2) x)) (/.f64 #s(literal 2/3 binary64) x))))
(neg.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ (* (- x y) 1/2) x)) (/.f64 #s(literal 2/3 binary64) x))))
(neg.f64 (.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ ( (- x y) 1/2) x)) (/.f64 #s(literal 2/3 binary64) x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- x y) 1/2) x)) (/.f64 #s(literal 2/3 binary64) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 #s(approx (/ 1 (+ (* (- x y) 1/2) x)) (/.f64 #s(literal 2/3 binary64) x))))
(pow.f64 #s(approx (/ 1 (+ (* (- x y) 1/2) x)) (/.f64 #s(literal 2/3 binary64) x)) #s(literal -1 binary64))
(pow.f64 (pow.f64 #s(approx (/ 1 (+ (* (- x y) 1/2) x)) (/.f64 #s(literal 2/3 binary64) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 #s(approx (/ 1 (+ ( (- x y) 1/2) x)) (/.f64 #s(literal 2/3 binary64) x)) #s(approx (/ 1 (+ (* (- x y) 1/2) x)) (/.f64 #s(literal 2/3 binary64) x))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 #s(approx (/ 1 (+ (* (- x y) 1/2) x)) (/.f64 #s(literal 2/3 binary64) x)))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (- x y) 1/2) x)) (/.f64 #s(literal 2/3 binary64) x))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (- x y) 1/2) x)) (/.f64 #s(literal 2/3 binary64) x))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ ( (- x y) 1/2) x)) (/.f64 #s(literal 2/3 binary64) x))))
(.f64 (pow.f64 #s(approx (/ 1 (+ ( (- x y) 1/2) x)) (/.f64 #s(literal 2/3 binary64) x)) #s(literal -1/2 binary64)) (pow.f64 #s(approx (/ 1 (+ (* (- x y) 1/2) x)) (/.f64 #s(literal 2/3 binary64) x)) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ 1 (+ (* (- x y) 1/2) x)) (/.f64 #s(literal 2/3 binary64) x)) #s(literal -1/2 binary64))) (pow.f64 #s(approx (/ 1 (+ (* (- x y) 1/2) x)) (/.f64 #s(literal 2/3 binary64) x)) #s(literal -1/2 binary64)))
(exp.f64 (neg.f64 (.f64 (log.f64 #s(approx (/ 1 (+ ( (- x y) 1/2) x)) (/.f64 #s(literal 2/3 binary64) x))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ 1 (+ (* (- x y) 1/2) x)) (/.f64 #s(literal 2/3 binary64) x))))
(neg.f64 (neg.f64 #s(approx (/ 1 (+ (* (- x y) 1/2) x)) (/.f64 #s(literal 2/3 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- x y) 1/2) x)) (/.f64 #s(literal 2/3 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- x y) 1/2) x)) (/.f64 #s(literal 2/3 binary64) x))) #s(literal 1 binary64)))
(/.f64 #s(approx (/ 1 (+ (* (- x y) 1/2) x)) (/.f64 #s(literal 2/3 binary64) x)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ (* (- x y) 1/2) x)) (/.f64 #s(literal 2/3 binary64) x))))
(/.f64 (neg.f64 #s(approx (/ 1 (+ (* (- x y) 1/2) x)) (/.f64 #s(literal 2/3 binary64) x))) #s(literal -1 binary64))
#s(approx (/ 1 (+ (* (- x y) 1/2) x)) (/.f64 #s(literal 2/3 binary64) x))
(pow.f64 #s(approx (/ 1 (+ (* (- x y) 1/2) x)) (/.f64 #s(literal 2/3 binary64) x)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- x y) 1/2) x)) (/.f64 #s(literal 2/3 binary64) x))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (- x y) 1/2) x)) (/.f64 #s(literal 2/3 binary64) x)))
(.f64 #s(approx (/ 1 (+ ( (- x y) 1/2) x)) (/.f64 #s(literal 2/3 binary64) x)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (neg.f64 #s(approx (/ 1 (+ ( (- x y) 1/2) x)) (/.f64 #s(literal 2/3 binary64) x))))
(.f64 (neg.f64 #s(approx (/ 1 (+ ( (- x y) 1/2) x)) (/.f64 #s(literal 2/3 binary64) x))) #s(literal -1 binary64))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 3/2 binary64) x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -2/3 binary64) x))
(neg.f64 (/.f64 #s(literal -2/3 binary64) x))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -2/3 binary64) x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 3/2 binary64) x)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3/2 binary64) x))
(/.f64 #s(literal 2/3 binary64) x)
(/.f64 #s(literal -1 binary64) (*.f64 x #s(literal -3/2 binary64)))
(/.f64 #s(literal -2/3 binary64) (neg.f64 x))
(pow.f64 (*.f64 #s(literal 3/2 binary64) x) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2/3 binary64) x))
(*.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -2/3 binary64) x))
(*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))
(.f64 (pow.f64 (.f64 #s(literal 3/2 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 3/2 binary64) x) #s(literal -1/2 binary64)))

eval115.0ms (1.7%)

Memory: -24.9MiB live, 130.0MiB allocated
Compiler: Compiled 7 976 to 770 computations (90.3% saved)

prune41.0ms (0.6%)

Memory

20.2MiB live, 97.4MiB allocated

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	605	1	606
Fresh	1	0	1
Picked	3	2	5
Done	0	2	2
Total	609	5	614

Accuracy

100.0%

Counts

614 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
✓	59.3%	(+.f64 x #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y)))
▶	100.0%	#s(approx (/ 1 (/ 1 (+ (* (- x y) 1/2) x))) (fma.f64 x #s(literal 3/2 binary64) (*.f64 #s(literal -1/2 binary64) y)))
✓	50.0%	#s(approx (/ 1 (/ 1 (+ (* (- x y) 1/2) x))) (*.f64 #s(literal 3/2 binary64) x))
✓	50.9%	#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))

Compiler

Compiled 37 to 24 computations (35.1% saved)

simplify38.0ms (0.6%)

Memory

1.1MiB live, 46.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New

Metric

Score

Program

✓

cost-diff

(*.f64 #s(literal -1/2 binary64) y)

✓

cost-diff

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

✓

cost-diff

128

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

Rules

576×	`lower-fma.f32`
574×	`lower-fma.f64`
224×	`lower-*.f32`
222×	`lower-*.f64`
136×	`lower-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	14	31
0	17	28
1	30	28
2	51	28
3	99	26
4	172	26
5	235	26
6	353	26
7	508	26
8	647	26
9	725	26
10	740	26
11	745	26
12	753	26
0	753	26

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize37.0ms (0.5%)

Memory

3.5MiB live, 79.7MiB allocated

Localize:

Found 3 expressions of interest:

New

Metric

Score

Program

✓

accuracy

100.0%

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

✓

accuracy

100.0%

(*.f64 #s(literal -1/2 binary64) y)

✓

accuracy

100.0%

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

Samples

20.0ms	225×	0	valid
3.0ms	17×	1	valid
2.0ms	10×	2	valid
1.0ms	4×	3	valid

Compiler

Compiled 27 to 16 computations (40.7% saved)

Precisions

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

ival-div: 7.0ms (39% of total)

ival-mult: 5.0ms (27.9% of total)

ival-add: 3.0ms (16.7% of total)

ival-sub: 2.0ms (11.1% of total)

adjust: 1.0ms (5.6% of total)

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

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

exact: 0.0ms (0% of total)

series1.0ms (0%)

Memory

3.9MiB live, 3.9MiB allocated

Counts

3 → 60

Calls

Call 1

Inputs

#<alt (fma.f64 x #s(literal 3/2 binary64) (*.f64 #s(literal -1/2 binary64) y))>

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

#<alt (*.f64 #s(literal -1/2 binary64) y)>

Outputs
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (* 3/2 x)>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* 3/2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* 3/2 x)>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (* -1/2 y)>
#<alt (* y (- (* 3/2 (/ x y)) 1/2))>
#<alt (* y (- (* 3/2 (/ x y)) 1/2))>
#<alt (* y (- (* 3/2 (/ x y)) 1/2))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))>
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (* 3/2 x)>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* 3/2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (+ x (* 1/2 x))>
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))>
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))>
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))>
#<alt (* -1/2 y)>
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))>
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))>
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>

Calls

15 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(+ (* x 3/2) (* -1/2 y))
0.0ms	x	@	inf	(+ (* x 3/2) (* -1/2 y))
0.0ms	x	@	-inf	(+ (* x 3/2) (* -1/2 y))
0.0ms	y	@	inf	(* -1/2 y)
0.0ms	y	@	inf	(+ (* x 3/2) (* -1/2 y))

simplify168.0ms (2.4%)

Memory

-23.2MiB live, 266.0MiB allocated

Algorithm

1×	egg-herbie

Rules

5 074×	`lower-fma.f64`
5 074×	`lower-fma.f32`
2 424×	`lower-*.f64`
2 424×	`lower-*.f32`
1 640×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	324
1	111	324
2	313	324
3	774	324
4	2012	324
5	4759	324
6	6469	324
0	8075	288

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

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

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

rewrite291.0ms (4.2%)

Memory

16.3MiB live, 409.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 710×	`lower-fma.f32`
6 708×	`lower-fma.f64`
4 870×	`lower-*.f32`
4 868×	`lower-*.f64`
2 468×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	27
0	17	23
1	78	23
2	547	23
3	6208	23
0	8349	22

Stop Event

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

Counts

3 → 82

Calls

Call 1

Inputs

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

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

(*.f64 #s(literal -1/2 binary64) y)

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

eval31.0ms (0.4%)

Memory: -3.4MiB live, 45.3MiB allocated
Compiler: Compiled 2 899 to 247 computations (91.5% saved)

prune49.0ms (0.7%)

Memory

-12.3MiB live, 26.6MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	142	0	142
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	142	5	147

Accuracy

100.0%

Counts

147 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
✓	59.3%	(+.f64 x #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y)))
✓	100.0%	#s(approx (/ 1 (/ 1 (+ (* (- x y) 1/2) x))) (fma.f64 x #s(literal 3/2 binary64) (*.f64 #s(literal -1/2 binary64) y)))
✓	50.0%	#s(approx (/ 1 (/ 1 (+ (* (- x y) 1/2) x))) (*.f64 #s(literal 3/2 binary64) x))
✓	50.9%	#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))

Compiler

Compiled 271 to 95 computations (64.9% saved)

regimes43.0ms (0.6%)

Memory

-12.3MiB live, 26.3MiB allocated

Counts

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

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

Calls

3 calls:

28.0ms	x
7.0ms	(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
6.0ms	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 15 to 10 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory

12.4MiB live, 12.4MiB allocated

Counts

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

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

Calls

3 calls:

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

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 15 to 10 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory

10.9MiB live, 10.9MiB allocated

Counts

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
79.7%	3	`x`
76.8%	3	`y`
59.3%	1	`(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes2.0ms (0%)

Memory

3.5MiB live, 3.5MiB allocated

Counts

3 → 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 x #s(literal 3/2 binary64)))

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
77.7%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0.1%)

Memory

7.6MiB live, 7.6MiB 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	y
1.0ms	x

Results

Accuracy	Segments	Branch
50.9%	1	`(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))`
50.9%	1	`y`
50.9%	1	`x`

Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch30.0ms (0.4%)

Memory

-9.5MiB live, 29.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	9.875162867961e-32	8.152263441891528e-21
16.0ms	-3.2214617950435064e+107	-3.70577721317377e+104

Samples

10.0ms	265×	0	valid
6.0ms	11×	1	valid
1.0ms	9×	2	valid
0.0ms	3×	3	valid

Compiler

Compiled 300 to 209 computations (30.3% saved)

Precisions

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

ival-div: 2.0ms (31.3% of total)

ival-sub: 2.0ms (31.3% of total)

adjust: 1.0ms (15.7% of total)

ival-add: 1.0ms (15.7% of total)

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

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

exact: 0.0ms (0% of total)

bsearch43.0ms (0.6%)

Memory

-22.2MiB live, 20.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
34.0ms	6.484481861559763e-36	9.239492129744877e-35
7.0ms	-1.1750812258392674e+66	-9.004235862859396e+64

Samples

33.0ms	178×	0	valid
1.0ms	8×	2	valid
0.0ms	6×	1	valid

Compiler

Compiled 180 to 131 computations (27.2% saved)

Precisions

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

ival-div: 2.0ms (47.5% of total)

ival-add: 1.0ms (23.8% of total)

ival-sub: 1.0ms (23.8% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

simplify8.0ms (0.1%)

Memory

11.7MiB live, 11.7MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
6×	`+-commutative_binary64`
4×	`sub-neg_binary64`
2×	`1-exp_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	117
1	44	117
2	48	117
3	50	117
4	51	117

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (/ 1 (/ 1 (+ (* (- x y) 1/2) x))) (fma.f64 x #s(literal 3/2 binary64) (*.f64 #s(literal -1/2 binary64) y)))
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
(if (<=.f64 x #s(literal -2150000000000000083690419259895400527725463227111497240051511683964300337512812128222177233987927780884480 binary64)) #s(approx (+ x (/ (- x y) 2)) (.f64 x #s(literal 3/2 binary64))) (if (<=.f64 x #s(literal 5104235503814077/340282366920938463463374607431768211456 binary64)) (+.f64 x #s(approx (/ (- x y) 2) (.f64 #s(literal -1/2 binary64) y))) #s(approx (+ x (/ (- x y) 2)) (*.f64 x #s(literal 3/2 binary64)))))
(if (<=.f64 x #s(literal -380000000000000011024762498254476647881847656514392719086111948800 binary64)) #s(approx (+ x (/ (- x y) 2)) (.f64 x #s(literal 3/2 binary64))) (if (<=.f64 x #s(literal 8231177221447645/187072209578355573530071658587684226515959365500928 binary64)) #s(approx (+ x (/ (- x y) 2)) (.f64 #s(literal -1/2 binary64) y)) #s(approx (+ x (/ (- x y) 2)) (*.f64 x #s(literal 3/2 binary64)))))
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))

Outputs
#s(approx (/ 1 (/ 1 (+ (* (- x y) 1/2) x))) (fma.f64 x #s(literal 3/2 binary64) (*.f64 #s(literal -1/2 binary64) y)))
#s(approx (/ 1 (/ 1 (+ (* (- x y) 1/2) x))) (fma.f64 x #s(literal 3/2 binary64) (*.f64 y #s(literal -1/2 binary64))))
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
(if (<=.f64 x #s(literal -2150000000000000083690419259895400527725463227111497240051511683964300337512812128222177233987927780884480 binary64)) #s(approx (+ x (/ (- x y) 2)) (.f64 x #s(literal 3/2 binary64))) (if (<=.f64 x #s(literal 5104235503814077/340282366920938463463374607431768211456 binary64)) (+.f64 x #s(approx (/ (- x y) 2) (.f64 #s(literal -1/2 binary64) y))) #s(approx (+ x (/ (- x y) 2)) (*.f64 x #s(literal 3/2 binary64)))))
(if (<=.f64 x #s(literal -2150000000000000083690419259895400527725463227111497240051511683964300337512812128222177233987927780884480 binary64)) #s(approx (+ x (/ (- x y) 2)) (.f64 x #s(literal 3/2 binary64))) (if (<=.f64 x #s(literal 5104235503814077/340282366920938463463374607431768211456 binary64)) (+.f64 x #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64)))) #s(approx (+ x (/ (- x y) 2)) (*.f64 x #s(literal 3/2 binary64)))))
(if (<=.f64 x #s(literal -380000000000000011024762498254476647881847656514392719086111948800 binary64)) #s(approx (+ x (/ (- x y) 2)) (.f64 x #s(literal 3/2 binary64))) (if (<=.f64 x #s(literal 8231177221447645/187072209578355573530071658587684226515959365500928 binary64)) #s(approx (+ x (/ (- x y) 2)) (.f64 #s(literal -1/2 binary64) y)) #s(approx (+ x (/ (- x y) 2)) (*.f64 x #s(literal 3/2 binary64)))))
(if (<=.f64 x #s(literal -380000000000000011024762498254476647881847656514392719086111948800 binary64)) #s(approx (+ x (/ (- x y) 2)) (.f64 x #s(literal 3/2 binary64))) (if (<=.f64 x #s(literal 8231177221447645/187072209578355573530071658587684226515959365500928 binary64)) #s(approx (+ x (/ (- x y) 2)) (.f64 y #s(literal -1/2 binary64))) #s(approx (+ x (/ (- x y) 2)) (*.f64 x #s(literal 3/2 binary64)))))
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (+ x (/ (- x y) 2)) (*.f64 y #s(literal -1/2 binary64)))

soundness958.0ms (14%)

Memory

-7.8MiB live, 344.1MiB allocated

Rules

9 178×	`lower-fma.f64`
9 178×	`lower-fma.f32`
8 528×	`lower-fma.f32`
8 524×	`lower-fma.f64`
7 504×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	48	15
2	400	15
3	5080	15
0	8183	14
0	58	351
1	176	351
2	487	351
3	1348	315
4	2968	315
5	4585	315
6	6569	315
7	7592	315
0	8078	297
0	407	2805
1	1232	2696
2	3429	2585
0	8352	2389
0	28	133
0	38	121
1	166	121
2	1091	121
0	8606	116

Stop Event

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

Compiler

Compiled 150 to 77 computations (48.7% saved)

preprocess76.0ms (1.1%)

Memory: 4.8MiB live, 80.7MiB allocated
Compiler: Compiled 158 to 70 computations (55.7% 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	647	35
5	807	35
6	846	35
0	6	7
0	9	7
1	15	7
2	26	7
3	47	7
4	86	7
5	157	7
6	278	7
7	436	7
8	543	7
9	604	7
10	608	7
0	608	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	278	18
7	436	18
8	543	18
9	604	18
10	608	18
0	608	17

Iter	Nodes	Cost
0	14	31
0	17	28
1	30	28
2	51	28
3	99	26
4	172	26
5	235	26
6	353	26
7	508	26
8	647	26
9	725	26
10	740	26
11	745	26
12	753	26
0	753	26

Iter	Nodes	Cost
0	16	41
1	45	35
2	139	35
3	373	35
4	647	35
5	807	35
6	846	35
0	6	7
0	9	7
1	15	7
2	26	7
3	47	7
4	86	7
5	157	7
6	278	7
7	436	7
8	543	7
9	604	7
10	608	7
0	608	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	278	18
7	436	18
8	543	18
9	604	18
10	608	18
0	608	17

Iter	Nodes	Cost
0	14	31
0	17	28
1	30	28
2	51	28
3	99	26
4	172	26
5	235	26
6	353	26
7	508	26
8	647	26
9	725	26
10	740	26
11	745	26
12	753	26
0	753	26

analyze0.0ms (0%)

sample940.0ms (13.7%)

preprocess70.0ms (1%)

explain66.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify33.0ms (0.5%)

localize50.0ms (0.7%)

series3.0ms (0%)

simplify361.0ms (5.3%)

rewrite416.0ms (6.1%)

eval66.0ms (1%)

prune59.0ms (0.9%)

simplify288.0ms (4.2%)

localize119.0ms (1.7%)

series16.0ms (0.2%)

simplify392.0ms (5.7%)

rewrite409.0ms (6%)

eval266.0ms (3.9%)

prune203.0ms (3%)

simplify266.0ms (3.9%)

localize85.0ms (1.2%)

series14.0ms (0.2%)

simplify402.0ms (5.9%)

rewrite383.0ms (5.6%)

eval115.0ms (1.7%)

prune41.0ms (0.6%)

simplify38.0ms (0.6%)

localize37.0ms (0.5%)

series1.0ms (0%)

simplify168.0ms (2.4%)

rewrite291.0ms (4.2%)

eval31.0ms (0.4%)

prune49.0ms (0.7%)

regimes43.0ms (0.6%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

regimes2.0ms (0%)

regimes4.0ms (0.1%)

bsearch30.0ms (0.4%)

bsearch43.0ms (0.6%)

simplify8.0ms (0.1%)

soundness958.0ms (14%)

preprocess76.0ms (1.1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	16	41
1	45	35
2	139	35
3	373	35
4	647	35
5	807	35
6	846	35
0	6	7
0	9	7
1	15	7
2	26	7
3	47	7
4	86	7
5	157	7
6	278	7
7	436	7
8	543	7
9	604	7
10	608	7
0	608	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	278	18
7	436	18
8	543	18
9	604	18
10	608	18
0	608	17

Iter	Nodes	Cost
0	14	31
0	17	28
1	30	28
2	51	28
3	99	26
4	172	26
5	235	26
6	353	26
7	508	26
8	647	26
9	725	26
10	740	26
11	745	26
12	753	26
0	753	26