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

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample684.0ms (10.6%)

Memory

8.3MiB live, 960.2MiB allocated

Samples

388.0ms	7 676×	0	valid
26.0ms	180×	2	valid
21.0ms	141×	3	valid
19.0ms	259×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 228.0ms

ival-div: 92.0ms (40.4% of total)

ival-sub: 59.0ms (25.9% of total)

ival-add: 46.0ms (20.2% of total)

adjust: 17.0ms (7.5% of total)

ival-true: 6.0ms (2.6% of total)

exact: 5.0ms (2.2% of total)

ival-assert: 3.0ms (1.3% of total)

Bogosity

preprocess86.0ms (1.3%)

Memory

-15.6MiB live, 22.0MiB 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)

explain75.0ms (1.2%)

Memory

-16.9MiB live, 104.9MiB 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

23.0ms	476×	0	valid
2.0ms	14×	3	valid
2.0ms	12×	2	valid
1.0ms	10×	1	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 (32.4% of total)

ival-sub: 4.0ms (32.4% of total)

ival-add: 3.0ms (24.3% of total)

adjust: 1.0ms (8.1% 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: 0.5MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify29.0ms (0.4%)

Memory

6.4MiB live, 43.4MiB 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)

localize27.0ms (0.4%)

Memory

-25.7MiB live, 55.2MiB 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

13.0ms	238×	0	valid
1.0ms	7×	3	valid
1.0ms	6×	2	valid
0.0ms	5×	1	valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-div: 2.0ms (27.7% of total)

ival-sub: 2.0ms (27.7% of total)

ival-add: 2.0ms (27.7% of total)

adjust: 1.0ms (13.8% of total)

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

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

exact: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory

8.3MiB live, 8.3MiB 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 (/ (- x y) 2))
0.0ms	x	@	0	(/ (- x y) 2)

rewrite339.0ms (5.3%)

Memory

4.4MiB live, 481.2MiB 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)))
(exp.f64 (.f64 (log.f64 (.f64 (-.f64 x y) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (neg.f64 (log.f64 (*.f64 (-.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y #s(literal 1/2 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (-.f64 x y) #s(literal -1/2 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x x (.f64 y (+.f64 x y)))) #s(literal 2 binary64)) (/.f64 (/.f64 (.f64 y (.f64 y y)) (fma.f64 x x (.f64 y (+.f64 x y)))) #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 x x) (+.f64 x y)) #s(literal 2 binary64)) (/.f64 (/.f64 (.f64 y y) (+.f64 x y)) #s(literal 2 binary64)))
(-.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 2 binary64) (fma.f64 x x (.f64 y (+.f64 x y))))) (/.f64 (.f64 y (.f64 y y)) (.f64 #s(literal 2 binary64) (fma.f64 x x (.f64 y (+.f64 x y))))))
(-.f64 (/.f64 (.f64 x x) (.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 (.f64 y y) (.f64 #s(literal 2 binary64) (+.f64 x y))))
(-.f64 (/.f64 (.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (.f64 y #s(literal 2 binary64)) #s(literal 4 binary64)))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (fma.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 x y)) (.f64 (.f64 x x) #s(literal 1/4 binary64)))) (/.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 1/8 binary64)) (fma.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 x y)) (.f64 (.f64 x x) #s(literal 1/4 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 x y))) (/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 x y))))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (.f64 y #s(literal -1/2 binary64))))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (neg.f64 y)))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64) (.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)) (.f64 y #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)) (.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (neg.f64 y)))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (.f64 #s(literal 1 binary64) (.f64 y #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (neg.f64 y)))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 y) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (neg.f64 y) #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1 binary64) (.f64 y #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64)))
(fma.f64 (neg.f64 x) #s(literal -1/2 binary64) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 (neg.f64 x) #s(literal -1/2 binary64) (.f64 #s(literal 1 binary64) (.f64 y #s(literal -1/2 binary64))))
(fma.f64 (neg.f64 x) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (neg.f64 y)))
(neg.f64 (*.f64 (-.f64 x y) #s(literal -1/2 binary64)))
(neg.f64 (.f64 (.f64 (-.f64 x y) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 x y) #s(literal 2 binary64))
(/.f64 (-.f64 y x) #s(literal -2 binary64))
(/.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (.f64 #s(literal 2 binary64) (fma.f64 x x (*.f64 y (+.f64 x y)))))
(/.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (.f64 #s(literal -2 binary64) (neg.f64 (fma.f64 x x (*.f64 y (+.f64 x y))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 x y)) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (-.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 x y)) (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 x y)) (.f64 (-.f64 x y) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (.f64 (fma.f64 y (.f64 y y) (.f64 x (*.f64 x x))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (.f64 (+.f64 x y) (.f64 (-.f64 x y) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (.f64 #s(literal 2 binary64) (+.f64 x y)))
(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (.f64 #s(literal -2 binary64) (neg.f64 (+.f64 x y))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 y x)))
(/.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) y)) #s(literal 4 binary64))
(/.f64 (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (-.f64 y x)) (neg.f64 (.f64 #s(literal 2 binary64) (fma.f64 x x (.f64 y (+.f64 x y))))))
(/.f64 (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (-.f64 y x)) (.f64 #s(literal 2 binary64) (neg.f64 (fma.f64 x x (.f64 y (+.f64 x y))))))
(/.f64 (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (-.f64 y x)) (.f64 #s(literal -2 binary64) (fma.f64 x x (.f64 y (+.f64 x y)))))
(/.f64 (.f64 (+.f64 x y) (-.f64 y x)) (neg.f64 (.f64 #s(literal 2 binary64) (+.f64 x y))))
(/.f64 (.f64 (+.f64 x y) (-.f64 y x)) (.f64 #s(literal 2 binary64) (neg.f64 (+.f64 x y))))
(/.f64 (.f64 (+.f64 x y) (-.f64 y x)) (.f64 #s(literal -2 binary64) (+.f64 x y)))
(/.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 (.f64 #s(literal 2 binary64) (fma.f64 x x (.f64 y (+.f64 x y)))) (fma.f64 y (.f64 y y) (.f64 x (*.f64 x x)))))
(/.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 (.f64 #s(literal 2 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 (.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 (.f64 #s(literal 2 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 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/8 binary64))) (fma.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 x y)) (.f64 (.f64 x x) #s(literal 1/4 binary64))))
(/.f64 (.f64 (fma.f64 x x (.f64 y y)) (.f64 (-.f64 x y) (+.f64 x y))) (.f64 (.f64 #s(literal 2 binary64) (+.f64 x y)) (fma.f64 x x (.f64 y y))))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 x y)) (.f64 (-.f64 x y) #s(literal 1/2 binary64))) (.f64 #s(literal 1/2 binary64) (+.f64 x y)))
(/.f64 (.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) #s(literal 1/2 binary64)) (fma.f64 x x (*.f64 y (+.f64 x y))))
(/.f64 (.f64 (+.f64 x y) (.f64 (-.f64 x y) #s(literal 1/2 binary64))) (+.f64 x y))
(/.f64 (-.f64 (.f64 x (/.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) y)))
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(.f64 (/.f64 (fma.f64 (-.f64 y x) (.f64 #s(literal 1/4 binary64) (-.f64 x y)) (.f64 x x)) (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 (-.f64 x y) #s(literal 1/2 binary64)) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x) (*.f64 x x)))
(.f64 (/.f64 (fma.f64 (-.f64 y x) (.f64 #s(literal 1/4 binary64) (-.f64 x y)) (.f64 x x)) (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 (/.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 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)) (.f64 (.f64 (.f64 (-.f64 x y) (.f64 (-.f64 x y) (-.f64 x y))) #s(literal 1/8 binary64)) (.f64 (.f64 (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) (neg.f64 x))) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)))))) (fma.f64 (.f64 (-.f64 x y) (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)))) (-.f64 (.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)) (.f64 x (.f64 x (*.f64 x x)))))
(.f64 (/.f64 (fma.f64 (.f64 (-.f64 x y) (.f64 (-.f64 x y) (-.f64 x y))) #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 (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 x x (.f64 (.f64 (-.f64 x y) #s(literal -1/2 binary64)) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)))))) (fma.f64 x x (.f64 (.f64 (-.f64 x y) #s(literal -1/2 binary64)) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)))))
(+.f64 x (neg.f64 y))
(+.f64 x (*.f64 #s(literal 1 binary64) (neg.f64 y)))
(+.f64 x (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(+.f64 (neg.f64 y) x)
(+.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x x (.f64 y (+.f64 x y)))) (neg.f64 (/.f64 (.f64 y (.f64 y y)) (fma.f64 x x (.f64 y (+.f64 x y))))))
(+.f64 (/.f64 (.f64 x x) (+.f64 x y)) (neg.f64 (/.f64 (.f64 y y) (+.f64 x y))))
(+.f64 (neg.f64 (neg.f64 x)) (neg.f64 y))
(+.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) x)
(+.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) x)
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y))) #s(literal -1 binary64)))
(-.f64 x y)
(-.f64 #s(literal 0 binary64) (-.f64 y x))
(-.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 x x) (+.f64 x y)) (/.f64 (.f64 y y) (+.f64 x y)))
(-.f64 (+.f64 x #s(literal 0 binary64)) y)
(fma.f64 x #s(literal 1 binary64) (neg.f64 y))
(fma.f64 x #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 y)))
(fma.f64 x #s(literal 1 binary64) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(fma.f64 x (/.f64 x (+.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (+.f64 x y))))
(fma.f64 x (/.f64 (.f64 x x) (fma.f64 x x (.f64 y (+.f64 x y)))) (neg.f64 (/.f64 (.f64 y (.f64 y y)) (fma.f64 x x (*.f64 y (+.f64 x y))))))
(fma.f64 y #s(literal -1 binary64) x)
(fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 y (+.f64 x y)))) (neg.f64 (/.f64 (.f64 y (.f64 y y)) (fma.f64 x x (.f64 y (+.f64 x y))))))
(fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 x y)) (neg.f64 (/.f64 (.f64 y y) (+.f64 x y))))
(fma.f64 (.f64 x x) (/.f64 x (fma.f64 x x (.f64 y (+.f64 x y)))) (neg.f64 (/.f64 (.f64 y (.f64 y y)) (fma.f64 x x (*.f64 y (+.f64 x y))))))
(fma.f64 #s(literal 1 binary64) x (neg.f64 y))
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 1 binary64) (neg.f64 y)))
(fma.f64 #s(literal 1 binary64) x (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (neg.f64 y) x)
(fma.f64 (neg.f64 y) #s(literal 1 binary64) x)
(fma.f64 #s(literal -1 binary64) y x)
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 x x (.f64 y (+.f64 x y)))) (neg.f64 (/.f64 (.f64 y (.f64 y y)) (fma.f64 x x (.f64 y (+.f64 x y))))))
(fma.f64 (/.f64 (.f64 x x) (.f64 (-.f64 x y) (+.f64 x y))) (-.f64 x y) (neg.f64 (/.f64 (*.f64 y y) (+.f64 x y))))
(fma.f64 (/.f64 (.f64 x x) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (fma.f64 x x (.f64 y (-.f64 y x))) (neg.f64 (/.f64 (.f64 y y) (+.f64 x y))))
(fma.f64 (/.f64 (.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)))) (neg.f64 (/.f64 (.f64 y (.f64 y y)) (fma.f64 x x (.f64 y (+.f64 x y))))))
(fma.f64 (/.f64 (.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))) (neg.f64 (/.f64 (.f64 y (.f64 y y)) (fma.f64 x x (*.f64 y (+.f64 x y))))))
(neg.f64 (-.f64 y x))
(/.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (fma.f64 x x (.f64 y (+.f64 x y))))
(/.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (neg.f64 (neg.f64 (fma.f64 x x (.f64 y (+.f64 x y))))))
(/.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (fma.f64 y y (-.f64 (.f64 x x) (*.f64 x (neg.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 x y))
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (neg.f64 (neg.f64 (+.f64 x y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y))))
(/.f64 (.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 (+.f64 x y) (-.f64 y x)) (neg.f64 (+.f64 x y)))
(/.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 (fma.f64 x x (.f64 y (+.f64 x y))) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))))
(/.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 (+.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 (.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 (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 (fma.f64 x x (.f64 y y)) (.f64 (-.f64 x y) (+.f64 x y))) (.f64 (+.f64 x y) (fma.f64 x x (*.f64 y y))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 x x (.f64 y (+.f64 x y)))) (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (.f64 y (.f64 y y)))) (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (fma.f64 x x (*.f64 y (+.f64 x y)))))
(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 x y)) (.f64 (+.f64 x y) (.f64 y y))) (*.f64 (+.f64 x y) (+.f64 x y)))
(/.f64 (neg.f64 (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (-.f64 y x))) (fma.f64 x x (*.f64 y (+.f64 x y))))
(/.f64 (neg.f64 (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (-.f64 y x))) (neg.f64 (neg.f64 (fma.f64 x x (*.f64 y (+.f64 x y))))))
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 y x))) (+.f64 x y))
(/.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))))

simplify236.0ms (3.7%)

Memory

36.9MiB live, 423.8MiB 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)

eval85.0ms (1.3%)

Memory: -33.3MiB live, 121.2MiB allocated
Compiler: Compiled 8 895 to 1 111 computations (87.5% saved)

prune112.0ms (1.7%)

Memory

-1.4MiB live, 136.1MiB allocated

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	407	15	422
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	408	15	423

Accuracy

100.0%

Counts

423 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.6%	(fma.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (/.f64 (-.f64 x y) (.f64 #s(literal 2 binary64) (fma.f64 x x (*.f64 y (+.f64 x y))))) x)
	44.7%	(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)
▶	55.7%	(fma.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1/2 binary64) (+.f64 x y)) x)
	55.1%	(/.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))
	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)))
	44.7%	(+.f64 x (pow.f64 (pow.f64 (*.f64 (-.f64 x y) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
▶	55.5%	(+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (-.f64 x y) (+.f64 x y)))) (+.f64 x y)))
	84.5%	(+.f64 x (/.f64 (-.f64 (.f64 x (/.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) y))))
	29.0%	(+.f64 x (/.f64 (.f64 (fma.f64 x x (.f64 y y)) (.f64 (-.f64 x y) (+.f64 x y))) (.f64 (.f64 #s(literal 2 binary64) (+.f64 x y)) (fma.f64 x x (.f64 y y)))))
	99.8%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 x y))))
	57.8%	(+.f64 x (*.f64 #s(literal -1/2 binary64) y))
	52.1%	(*.f64 x #s(literal 3/2 binary64))
▶	49.3%	(*.f64 #s(literal -1/2 binary64) y)

Compiler

Compiled 438 to 236 computations (46.1% saved)

simplify348.0ms (5.4%)

Memory

10.9MiB live, 475.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (*.f64 (-.f64 x y) (+.f64 x y)))
✓	cost-diff	128	(+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (-.f64 x y) (+.f64 x y)))) (+.f64 x y)))
✓	cost-diff	1088	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (-.f64 x y) (+.f64 x y))))
✓	cost-diff	1408	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (-.f64 x y) (+.f64 x y)))) (+.f64 x y))
✓	cost-diff	0	(+.f64 x y)
✓	cost-diff	0	(-.f64 x y)
✓	cost-diff	0	(*.f64 (-.f64 x y) (+.f64 x y))
✓	cost-diff	1408	(fma.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1/2 binary64) (+.f64 x y)) 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	(*.f64 y #s(literal 1/2 binary64))
✓	cost-diff	64	(fma.f64 x #s(literal 1/2 binary64) x)
✓	cost-diff	256	(-.f64 (fma.f64 x #s(literal 1/2 binary64) x) (*.f64 y #s(literal 1/2 binary64)))

Rules

13 738×	`lower-fma.f32`
13 732×	`lower-fma.f64`
3 504×	`lower-*.f32`
3 498×	`lower-*.f64`
1 484×	`lower-neg.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	21	139
0	39	122
1	78	117
2	182	113
3	493	105
4	1434	105
5	4794	105
0	8200	105

Stop Event

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

Calls

Call 1

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

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

localize89.0ms (1.4%)

Memory

-2.7MiB live, 170.9MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (-.f64 x y) (+.f64 x y)))) (+.f64 x y)))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (-.f64 x y) (+.f64 x y))))
✓	accuracy	99.5%	(/.f64 #s(literal 2 binary64) (*.f64 (-.f64 x y) (+.f64 x y)))
✓	accuracy	55.4%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (-.f64 x y) (+.f64 x y)))) (+.f64 x y))
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(*.f64 (-.f64 x y) (+.f64 x y))
✓	accuracy	100.0%	(/.f64 #s(literal 1/2 binary64) (+.f64 x y))
✓	accuracy	55.7%	(fma.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1/2 binary64) (+.f64 x y)) 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	100.0%	(fma.f64 x #s(literal 1/2 binary64) x)
✓	accuracy	100.0%	(*.f64 y #s(literal 1/2 binary64))
✓	accuracy	99.9%	(-.f64 (fma.f64 x #s(literal 1/2 binary64) x) (*.f64 y #s(literal 1/2 binary64)))

Samples

39.0ms	220×	0	valid
7.0ms	10×	3	valid
5.0ms	17×	1	valid
4.0ms	9×	2	valid

Compiler

Compiled 145 to 26 computations (82.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-add: 12.0ms (31.9% of total)

ival-mult: 10.0ms (26.5% of total)

ival-div: 8.0ms (21.2% of total)

ival-sub: 4.0ms (10.6% of total)

adjust: 3.0ms (8% of total)

exact: 1.0ms (2.7% of total)

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

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

series19.0ms (0.3%)

Memory

-0.0MiB live, 38.1MiB allocated

Counts

15 → 324

Calls

Call 1

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

Outputs
#<alt (* -1/2 y)>
#<alt (- (* 3/2 x) (* 1/2 y))>
#<alt (- (* 3/2 x) (* 1/2 y))>
#<alt (- (* 3/2 x) (* 1/2 y))>
#<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)>
#<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 (* -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 (* -1 (pow y 2))>
#<alt (+ (* -1 (pow y 2)) (* x (+ y (* -1 y))))>
#<alt (+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))>
#<alt (+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))>
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))>
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))>
#<alt (pow x 2)>
#<alt (+ (* y (+ x (* -1 x))) (pow x 2))>
#<alt (+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))>
#<alt (+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))>
#<alt (* -1 (pow y 2))>
#<alt (* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1))>
#<alt (* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))>
#<alt (* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))>
#<alt (* -1 (pow y 2))>
#<alt (* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1))>
#<alt (* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))>
#<alt (* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))>
#<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 y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<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 (pow y 2))>
#<alt (+ (* -1/2 (pow y 2)) (* 1/2 (* x (+ y (* -1 y)))))>
#<alt (+ (* -1/2 (pow y 2)) (* x (+ (* 1/2 x) (* 1/2 (+ y (* -1 y))))))>
#<alt (+ (* -1/2 (pow y 2)) (* x (+ (* 1/2 x) (* 1/2 (+ y (* -1 y))))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* 1/2 (/ (+ y (* -1 y)) x))))>
#<alt (* (pow x 2) (+ 1/2 (+ (* -1/2 (/ (pow y 2) (pow x 2))) (* 1/2 (/ (+ y (* -1 y)) x)))))>
#<alt (* (pow x 2) (+ 1/2 (+ (* -1/2 (/ (pow y 2) (pow x 2))) (* 1/2 (/ (+ y (* -1 y)) x)))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* 1/2 (/ (+ y (* -1 y)) x))))>
#<alt (* (pow x 2) (+ 1/2 (* -1 (/ (+ (* -1/2 (+ y (* -1 y))) (* 1/2 (/ (pow y 2) x))) x))))>
#<alt (* (pow x 2) (+ 1/2 (* -1 (/ (+ (* -1/2 (+ y (* -1 y))) (* 1/2 (/ (pow y 2) x))) x))))>
#<alt (* 1/2 (pow x 2))>
#<alt (+ (* 1/2 (* y (+ x (* -1 x)))) (* 1/2 (pow x 2)))>
#<alt (+ (* 1/2 (pow x 2)) (* y (+ (* -1/2 y) (* 1/2 (+ x (* -1 x))))))>
#<alt (+ (* 1/2 (pow x 2)) (* y (+ (* -1/2 y) (* 1/2 (+ x (* -1 x))))))>
#<alt (* -1/2 (pow y 2))>
#<alt (* (pow y 2) (- (* 1/2 (/ (+ x (* -1 x)) y)) 1/2))>
#<alt (* (pow y 2) (- (+ (* 1/2 (/ (+ x (* -1 x)) y)) (* 1/2 (/ (pow x 2) (pow y 2)))) 1/2))>
#<alt (* (pow y 2) (- (+ (* 1/2 (/ (+ x (* -1 x)) y)) (* 1/2 (/ (pow x 2) (pow y 2)))) 1/2))>
#<alt (* -1/2 (pow y 2))>
#<alt (* (pow y 2) (- (* -1/2 (/ (+ x (* -1 x)) y)) 1/2))>
#<alt (* (pow y 2) (- (* -1 (/ (+ (* -1/2 (/ (pow x 2) y)) (* 1/2 (+ x (* -1 x)))) y)) 1/2))>
#<alt (* (pow y 2) (- (* -1 (/ (+ (* -1/2 (/ (pow x 2) y)) (* 1/2 (+ x (* -1 x)))) y)) 1/2))>
#<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 (/ -2 (pow y 2))>
#<alt (- (* -2 (/ (* x (+ y (* -1 y))) (pow y 4))) (* 2 (/ 1 (pow y 2))))>
#<alt (- (* x (- (* -1 (* x (+ (* 2 (/ 1 (pow y 4))) (* 2 (/ (pow (+ y (* -1 y)) 2) (pow y 6)))))) (* 2 (/ (+ y (* -1 y)) (pow y 4))))) (* 2 (/ 1 (pow y 2))))>
#<alt (- (* x (- (* x (- (* -1 (* x (+ (* 2 (/ (+ y (* -1 y)) (pow y 6))) (/ (* (+ y (* -1 y)) (+ (* 2 (/ (pow (+ y (* -1 y)) 2) (pow y 6))) (* 2 (/ 1 (pow y 4))))) (pow y 2))))) (+ (* 2 (/ 1 (pow y 4))) (* 2 (/ (pow (+ y (* -1 y)) 2) (pow y 6)))))) (* 2 (/ (+ y (* -1 y)) (pow y 4))))) (* 2 (/ 1 (pow y 2))))>
#<alt (/ 2 (pow x 2))>
#<alt (/ (+ 2 (* -2 (/ (+ y (* -1 y)) x))) (pow x 2))>
#<alt (/ (- (+ 2 (* -1 (/ (+ (* -2 (pow y 2)) (* -2 (pow (+ y (* -1 y)) 2))) (pow x 2)))) (* 2 (/ (+ y (* -1 y)) x))) (pow x 2))>
#<alt (/ (- (+ 2 (* -1 (/ (+ (* -1 (* (+ y (* -1 y)) (+ (* -2 (pow y 2)) (* -2 (pow (+ y (* -1 y)) 2))))) (* 2 (* (pow y 2) (+ y (* -1 y))))) (pow x 3)))) (+ (* -2 (/ (pow y 2) (pow x 2))) (+ (* -2 (/ (pow (+ y (* -1 y)) 2) (pow x 2))) (* 2 (/ (+ y (* -1 y)) x))))) (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ (+ 2 (* -2 (/ (+ y (* -1 y)) x))) (pow x 2))>
#<alt (/ (+ 2 (* -1 (/ (- (+ (* -2 (/ (pow y 2) x)) (* -2 (/ (pow (+ y (* -1 y)) 2) x))) (* -2 (+ y (* -1 y)))) x))) (pow x 2))>
#<alt (/ (+ 2 (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (* (pow y 2) (+ y (* -1 y))) x)) (/ (* (+ y (* -1 y)) (+ (* -2 (pow y 2)) (* -2 (pow (+ y (* -1 y)) 2)))) x)) (+ (* -2 (pow y 2)) (* -2 (pow (+ y (* -1 y)) 2)))) x)) (* -2 (+ y (* -1 y)))) x))) (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (+ (* -2 (/ (* y (+ x (* -1 x))) (pow x 4))) (* 2 (/ 1 (pow x 2))))>
#<alt (+ (* y (- (* y (- (* 2 (/ 1 (pow x 4))) (* -2 (/ (pow (+ x (* -1 x)) 2) (pow x 6))))) (* 2 (/ (+ x (* -1 x)) (pow x 4))))) (* 2 (/ 1 (pow x 2))))>
#<alt (+ (* y (- (* y (- (+ (* -1 (* y (+ (* 2 (/ (+ x (* -1 x)) (pow x 6))) (/ (* (+ x (* -1 x)) (- (* 2 (/ 1 (pow x 4))) (* -2 (/ (pow (+ x (* -1 x)) 2) (pow x 6))))) (pow x 2))))) (* 2 (/ 1 (pow x 4)))) (* -2 (/ (pow (+ x (* -1 x)) 2) (pow x 6))))) (* 2 (/ (+ x (* -1 x)) (pow x 4))))) (* 2 (/ 1 (pow x 2))))>
#<alt (/ -2 (pow y 2))>
#<alt (/ (- (* -2 (/ (+ x (* -1 x)) y)) 2) (pow y 2))>
#<alt (/ (- (* -1 (/ (+ (* 2 (pow x 2)) (* 2 (pow (+ x (* -1 x)) 2))) (pow y 2))) (+ 2 (* 2 (/ (+ x (* -1 x)) y)))) (pow y 2))>
#<alt (/ (- (* -1 (/ (+ (* 2 (* (pow x 2) (+ x (* -1 x)))) (* (+ x (* -1 x)) (+ (* 2 (pow x 2)) (* 2 (pow (+ x (* -1 x)) 2))))) (pow y 3))) (+ 2 (+ (* 2 (/ (+ x (* -1 x)) y)) (+ (* 2 (/ (pow x 2) (pow y 2))) (* 2 (/ (pow (+ x (* -1 x)) 2) (pow y 2))))))) (pow y 2))>
#<alt (/ -2 (pow y 2))>
#<alt (/ (- (* 2 (/ (+ x (* -1 x)) y)) 2) (pow y 2))>
#<alt (/ (- (* -1 (/ (- (+ (* 2 (/ (pow x 2) y)) (* 2 (/ (pow (+ x (* -1 x)) 2) y))) (* 2 (+ x (* -1 x)))) y)) 2) (pow y 2))>
#<alt (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* (pow x 2) (+ x (* -1 x))) y)) (/ (* (+ x (* -1 x)) (+ (* 2 (pow x 2)) (* 2 (pow (+ x (* -1 x)) 2)))) y)) (+ (* 2 (pow x 2)) (* 2 (pow (+ x (* -1 x)) 2)))) y)) (* 2 (+ x (* -1 x)))) y)) 2) (pow y 2))>
#<alt (/ 1/2 y)>
#<alt (+ (* -1/2 (/ x (pow y 2))) (* 1/2 (/ 1 y)))>
#<alt (+ (* x (- (* 1/2 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (* 1/2 (/ 1 y)))>
#<alt (+ (* x (- (* x (+ (* -1/2 (/ x (pow y 4))) (* 1/2 (/ 1 (pow y 3))))) (* 1/2 (/ 1 (pow y 2))))) (* 1/2 (/ 1 y)))>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* -1/2 (/ y x))) x)>
#<alt (/ (- (+ 1/2 (* 1/2 (/ (pow y 2) (pow x 2)))) (* 1/2 (/ y x))) x)>
#<alt (/ (- (+ 1/2 (* -1/2 (/ (pow y 3) (pow x 3)))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (* 1/2 (/ y x)))) x)>
#<alt (/ 1/2 x)>
#<alt (* -1 (/ (- (* 1/2 (/ y x)) 1/2) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow y 2) x)) (* 1/2 y)) x)) 1/2) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow y 3) x)) (* 1/2 (pow y 2))) x)) (* 1/2 y)) x)) 1/2) x))>
#<alt (/ 1/2 x)>
#<alt (+ (* -1/2 (/ y (pow x 2))) (* 1/2 (/ 1 x)))>
#<alt (+ (* y (- (* 1/2 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (* 1/2 (/ 1 x)))>
#<alt (+ (* y (- (* y (+ (* -1/2 (/ y (pow x 4))) (* 1/2 (/ 1 (pow x 3))))) (* 1/2 (/ 1 (pow x 2))))) (* 1/2 (/ 1 x)))>
#<alt (/ 1/2 y)>
#<alt (/ (+ 1/2 (* -1/2 (/ x y))) y)>
#<alt (/ (- (+ 1/2 (* 1/2 (/ (pow x 2) (pow y 2)))) (* 1/2 (/ x y))) y)>
#<alt (/ (- (+ 1/2 (* -1/2 (/ (pow x 3) (pow y 3)))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* 1/2 (/ x y)))) y)>
#<alt (/ 1/2 y)>
#<alt (* -1 (/ (- (* 1/2 (/ x y)) 1/2) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow x 2) y)) (* 1/2 x)) y)) 1/2) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow x 3) y)) (* 1/2 (pow x 2))) y)) (* 1/2 x)) y)) 1/2) y))>

Calls

81 calls:

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

rewrite451.0ms (7%)

Memory

20.8MiB live, 689.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 284×	`lower-fma.f32`
7 278×	`lower-fma.f64`
4 908×	`lower-*.f32`
4 902×	`lower-*.f64`
4 824×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	111
0	39	104
1	183	80
2	1704	80
0	8566	77

Stop Event

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

Counts

15 → 958

Calls

Call 1

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

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

simplify305.0ms (4.8%)

Memory

-5.3MiB live, 414.7MiB allocated

Algorithm

1×	egg-herbie

Rules

5 238×	`lower-fma.f64`
5 238×	`lower-fma.f32`
2 760×	`lower-*.f64`
2 760×	`lower-*.f32`
2 172×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	450	2664
1	1440	2332
2	5194	2214
0	8558	2070

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 312

Calls

Call 1

Inputs
(* -1/2 y)
(- (* 3/2 x) (* 1/2 y))
(- (* 3/2 x) (* 1/2 y))
(- (* 3/2 x) (* 1/2 y))
(* 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)
(* 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)
(* -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)
(+ 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)))
(* -1 x)
(- y x)
(- y x)
(- y x)
y
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
y
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
y
(+ y (* -1 x))
(+ y (* -1 x))
(+ y (* -1 x))
(* -1 x)
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -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))
(* 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 (pow y 2))
(+ (* -1 (pow y 2)) (* x (+ y (* -1 y))))
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))
(pow x 2)
(+ (* y (+ x (* -1 x))) (pow x 2))
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))
(* -1 (pow y 2))
(* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1))
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))
(* -1 (pow y 2))
(* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1))
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))
(* -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)))))
y
(+ x y)
(+ x y)
(+ x y)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
x
(+ x y)
(+ x y)
(+ x y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -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 (pow y 2))
(+ (* -1/2 (pow y 2)) (* 1/2 (* x (+ y (* -1 y)))))
(+ (* -1/2 (pow y 2)) (* x (+ (* 1/2 x) (* 1/2 (+ y (* -1 y))))))
(+ (* -1/2 (pow y 2)) (* x (+ (* 1/2 x) (* 1/2 (+ y (* -1 y))))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* 1/2 (/ (+ y (* -1 y)) x))))
(* (pow x 2) (+ 1/2 (+ (* -1/2 (/ (pow y 2) (pow x 2))) (* 1/2 (/ (+ y (* -1 y)) x)))))
(* (pow x 2) (+ 1/2 (+ (* -1/2 (/ (pow y 2) (pow x 2))) (* 1/2 (/ (+ y (* -1 y)) x)))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* 1/2 (/ (+ y (* -1 y)) x))))
(* (pow x 2) (+ 1/2 (* -1 (/ (+ (* -1/2 (+ y (* -1 y))) (* 1/2 (/ (pow y 2) x))) x))))
(* (pow x 2) (+ 1/2 (* -1 (/ (+ (* -1/2 (+ y (* -1 y))) (* 1/2 (/ (pow y 2) x))) x))))
(* 1/2 (pow x 2))
(+ (* 1/2 (* y (+ x (* -1 x)))) (* 1/2 (pow x 2)))
(+ (* 1/2 (pow x 2)) (* y (+ (* -1/2 y) (* 1/2 (+ x (* -1 x))))))
(+ (* 1/2 (pow x 2)) (* y (+ (* -1/2 y) (* 1/2 (+ x (* -1 x))))))
(* -1/2 (pow y 2))
(* (pow y 2) (- (* 1/2 (/ (+ x (* -1 x)) y)) 1/2))
(* (pow y 2) (- (+ (* 1/2 (/ (+ x (* -1 x)) y)) (* 1/2 (/ (pow x 2) (pow y 2)))) 1/2))
(* (pow y 2) (- (+ (* 1/2 (/ (+ x (* -1 x)) y)) (* 1/2 (/ (pow x 2) (pow y 2)))) 1/2))
(* -1/2 (pow y 2))
(* (pow y 2) (- (* -1/2 (/ (+ x (* -1 x)) y)) 1/2))
(* (pow y 2) (- (* -1 (/ (+ (* -1/2 (/ (pow x 2) y)) (* 1/2 (+ x (* -1 x)))) y)) 1/2))
(* (pow y 2) (- (* -1 (/ (+ (* -1/2 (/ (pow x 2) y)) (* 1/2 (+ x (* -1 x)))) y)) 1/2))
(* -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)))))
(/ -2 (pow y 2))
(- (* -2 (/ (* x (+ y (* -1 y))) (pow y 4))) (* 2 (/ 1 (pow y 2))))
(- (* x (- (* -1 (* x (+ (* 2 (/ 1 (pow y 4))) (* 2 (/ (pow (+ y (* -1 y)) 2) (pow y 6)))))) (* 2 (/ (+ y (* -1 y)) (pow y 4))))) (* 2 (/ 1 (pow y 2))))
(- (* x (- (* x (- (* -1 (* x (+ (* 2 (/ (+ y (* -1 y)) (pow y 6))) (/ (* (+ y (* -1 y)) (+ (* 2 (/ (pow (+ y (* -1 y)) 2) (pow y 6))) (* 2 (/ 1 (pow y 4))))) (pow y 2))))) (+ (* 2 (/ 1 (pow y 4))) (* 2 (/ (pow (+ y (* -1 y)) 2) (pow y 6)))))) (* 2 (/ (+ y (* -1 y)) (pow y 4))))) (* 2 (/ 1 (pow y 2))))
(/ 2 (pow x 2))
(/ (+ 2 (* -2 (/ (+ y (* -1 y)) x))) (pow x 2))
(/ (- (+ 2 (* -1 (/ (+ (* -2 (pow y 2)) (* -2 (pow (+ y (* -1 y)) 2))) (pow x 2)))) (* 2 (/ (+ y (* -1 y)) x))) (pow x 2))
(/ (- (+ 2 (* -1 (/ (+ (* -1 (* (+ y (* -1 y)) (+ (* -2 (pow y 2)) (* -2 (pow (+ y (* -1 y)) 2))))) (* 2 (* (pow y 2) (+ y (* -1 y))))) (pow x 3)))) (+ (* -2 (/ (pow y 2) (pow x 2))) (+ (* -2 (/ (pow (+ y (* -1 y)) 2) (pow x 2))) (* 2 (/ (+ y (* -1 y)) x))))) (pow x 2))
(/ 2 (pow x 2))
(/ (+ 2 (* -2 (/ (+ y (* -1 y)) x))) (pow x 2))
(/ (+ 2 (* -1 (/ (- (+ (* -2 (/ (pow y 2) x)) (* -2 (/ (pow (+ y (* -1 y)) 2) x))) (* -2 (+ y (* -1 y)))) x))) (pow x 2))
(/ (+ 2 (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (* (pow y 2) (+ y (* -1 y))) x)) (/ (* (+ y (* -1 y)) (+ (* -2 (pow y 2)) (* -2 (pow (+ y (* -1 y)) 2)))) x)) (+ (* -2 (pow y 2)) (* -2 (pow (+ y (* -1 y)) 2)))) x)) (* -2 (+ y (* -1 y)))) x))) (pow x 2))
(/ 2 (pow x 2))
(+ (* -2 (/ (* y (+ x (* -1 x))) (pow x 4))) (* 2 (/ 1 (pow x 2))))
(+ (* y (- (* y (- (* 2 (/ 1 (pow x 4))) (* -2 (/ (pow (+ x (* -1 x)) 2) (pow x 6))))) (* 2 (/ (+ x (* -1 x)) (pow x 4))))) (* 2 (/ 1 (pow x 2))))
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* 2 (/ (+ x (* -1 x)) (pow x 6))) (/ (* (+ x (* -1 x)) (- (* 2 (/ 1 (pow x 4))) (* -2 (/ (pow (+ x (* -1 x)) 2) (pow x 6))))) (pow x 2))))) (* 2 (/ 1 (pow x 4)))) (* -2 (/ (pow (+ x (* -1 x)) 2) (pow x 6))))) (* 2 (/ (+ x (* -1 x)) (pow x 4))))) (* 2 (/ 1 (pow x 2))))
(/ -2 (pow y 2))
(/ (- (* -2 (/ (+ x (* -1 x)) y)) 2) (pow y 2))
(/ (- (* -1 (/ (+ (* 2 (pow x 2)) (* 2 (pow (+ x (* -1 x)) 2))) (pow y 2))) (+ 2 (* 2 (/ (+ x (* -1 x)) y)))) (pow y 2))
(/ (- (* -1 (/ (+ (* 2 (* (pow x 2) (+ x (* -1 x)))) (* (+ x (* -1 x)) (+ (* 2 (pow x 2)) (* 2 (pow (+ x (* -1 x)) 2))))) (pow y 3))) (+ 2 (+ (* 2 (/ (+ x (* -1 x)) y)) (+ (* 2 (/ (pow x 2) (pow y 2))) (* 2 (/ (pow (+ x (* -1 x)) 2) (pow y 2))))))) (pow y 2))
(/ -2 (pow y 2))
(/ (- (* 2 (/ (+ x (* -1 x)) y)) 2) (pow y 2))
(/ (- (* -1 (/ (- (+ (* 2 (/ (pow x 2) y)) (* 2 (/ (pow (+ x (* -1 x)) 2) y))) (* 2 (+ x (* -1 x)))) y)) 2) (pow y 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* (pow x 2) (+ x (* -1 x))) y)) (/ (* (+ x (* -1 x)) (+ (* 2 (pow x 2)) (* 2 (pow (+ x (* -1 x)) 2)))) y)) (+ (* 2 (pow x 2)) (* 2 (pow (+ x (* -1 x)) 2)))) y)) (* 2 (+ x (* -1 x)))) y)) 2) (pow y 2))
(/ 1/2 y)
(+ (* -1/2 (/ x (pow y 2))) (* 1/2 (/ 1 y)))
(+ (* x (- (* 1/2 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (* 1/2 (/ 1 y)))
(+ (* x (- (* x (+ (* -1/2 (/ x (pow y 4))) (* 1/2 (/ 1 (pow y 3))))) (* 1/2 (/ 1 (pow y 2))))) (* 1/2 (/ 1 y)))
(/ 1/2 x)
(/ (+ 1/2 (* -1/2 (/ y x))) x)
(/ (- (+ 1/2 (* 1/2 (/ (pow y 2) (pow x 2)))) (* 1/2 (/ y x))) x)
(/ (- (+ 1/2 (* -1/2 (/ (pow y 3) (pow x 3)))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (* 1/2 (/ y x)))) x)
(/ 1/2 x)
(* -1 (/ (- (* 1/2 (/ y x)) 1/2) x))
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow y 2) x)) (* 1/2 y)) x)) 1/2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow y 3) x)) (* 1/2 (pow y 2))) x)) (* 1/2 y)) x)) 1/2) x))
(/ 1/2 x)
(+ (* -1/2 (/ y (pow x 2))) (* 1/2 (/ 1 x)))
(+ (* y (- (* 1/2 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (* 1/2 (/ 1 x)))
(+ (* y (- (* y (+ (* -1/2 (/ y (pow x 4))) (* 1/2 (/ 1 (pow x 3))))) (* 1/2 (/ 1 (pow x 2))))) (* 1/2 (/ 1 x)))
(/ 1/2 y)
(/ (+ 1/2 (* -1/2 (/ x y))) y)
(/ (- (+ 1/2 (* 1/2 (/ (pow x 2) (pow y 2)))) (* 1/2 (/ x y))) y)
(/ (- (+ 1/2 (* -1/2 (/ (pow x 3) (pow y 3)))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* 1/2 (/ x y)))) y)
(/ 1/2 y)
(* -1 (/ (- (* 1/2 (/ x y)) 1/2) y))
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow x 2) y)) (* 1/2 x)) y)) 1/2) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow x 3) y)) (* 1/2 (pow x 2))) y)) (* 1/2 x)) y)) 1/2) y))

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

eval215.0ms (3.4%)

Memory: 9.9MiB live, 524.3MiB allocated
Compiler: Compiled 45 372 to 3 809 computations (91.6% saved)

prune196.0ms (3.1%)

Memory

-7.7MiB live, 371.7MiB allocated

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	1 660	1	1 661
Fresh	8	2	10
Picked	3	2	5
Done	0	0	0
Total	1 671	5	1 676

Accuracy

100.0%

Counts

1 676 → 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)
▶	100.0%	(fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))
▶	57.8%	(+.f64 x (*.f64 #s(literal -1/2 binary64) y))
▶	52.1%	(*.f64 x #s(literal 3/2 binary64))
✓	49.3%	(*.f64 #s(literal -1/2 binary64) y)

Compiler

Compiled 33 to 24 computations (27.3% saved)

simplify6.0ms (0.1%)

Memory

8.8MiB live, 8.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

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

Rules

12×	`lower-fma.f32`
10×	`lower-fma.f64`
8×	`lower-*.f32`
8×	`lower-+.f32`
6×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	29
0	15	29
1	20	29
0	20	28

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize35.0ms (0.5%)

Memory

-5.3MiB live, 67.4MiB allocated

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))
✓	accuracy	100.0%	(*.f64 y #s(literal -1/2 binary64))
✓	accuracy	100.0%	(+.f64 x (*.f64 #s(literal -1/2 binary64) y))
✓	accuracy	100.0%	(*.f64 #s(literal -1/2 binary64) y)
✓	accuracy	100.0%	(*.f64 x #s(literal 3/2 binary64))

Samples

19.0ms	238×	0	valid
1.0ms	7×	3	valid
1.0ms	6×	2	valid
1.0ms	5×	1	valid

Compiler

Compiled 32 to 12 computations (62.5% saved)

Precisions

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

ival-mult: 8.0ms (66.6% of total)

ival-add: 3.0ms (25% of total)

adjust: 1.0ms (8.3% 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

7.1MiB live, 7.1MiB allocated

Counts

5 → 84

Calls

Call 1

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

Outputs
#<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 (+ 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 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 (* -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 (+ (* -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)>
#<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

21 calls:

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

rewrite572.0ms (8.9%)

Memory

15.6MiB live, 488.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 242×	`lower-fma.f32`
6 240×	`lower-fma.f64`
4 300×	`lower-*.f32`
4 294×	`lower-*.f64`
4 014×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
0	15	20
1	50	20
2	304	20
3	3070	20
0	8289	19

Stop Event

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

Counts

5 → 267

Calls

Call 1

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

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

simplify505.0ms (7.9%)

Memory

5.5MiB live, 360.3MiB allocated

Algorithm

1×	egg-herbie

Rules

8 340×	`lower-fma.f64`
8 340×	`lower-fma.f32`
3 392×	`lower-/.f32`
3 392×	`lower-/.f64`
2 300×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	354
1	109	354
2	289	354
3	718	354
4	1671	354
5	3310	354
6	4614	354
7	5155	354
8	5362	354
9	5523	354
10	7200	354
0	8064	318

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 81

Calls

Call 1

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

eval71.0ms (1.1%)

Memory: 12.6MiB live, 88.5MiB allocated
Compiler: Compiled 10 040 to 791 computations (92.1% saved)

prune53.0ms (0.8%)

Memory

-37.1MiB live, 112.7MiB allocated

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	347	1	348
Fresh	0	0	0
Picked	1	2	3
Done	0	2	2
Total	348	5	353

Accuracy

100.0%

Counts

353 → 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)
▶	57.8%	(fma.f64 y #s(literal -1/2 binary64) x)
✓	100.0%	(fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))
✓	52.1%	(*.f64 x #s(literal 3/2 binary64))
✓	49.3%	(*.f64 #s(literal -1/2 binary64) y)

Compiler

Compiled 32 to 23 computations (28.1% saved)

simplify8.0ms (0.1%)

Memory

-27.3MiB live, 10.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 1 expressions of interest:

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

Rules

4×	`lower-*.f64`
4×	`lower-+.f64`
4×	`lower-fma.f32`
4×	`lower-*.f32`
4×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	7
0	6	7
1	8	7
0	8	7

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize14.0ms (0.2%)

Memory

30.3MiB live, 30.4MiB allocated

Localize:

Found 1 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 y #s(literal -1/2 binary64) x)

Samples

9.0ms

256×

valid

Compiler

Compiled 10 to 7 computations (30% saved)

Precisions

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

ival-mult: 2.0ms (58.4% of total)

ival-add: 1.0ms (29.2% of total)

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

exact: 0.0ms (0% of total)

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

series0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Counts

1 → 24

Calls

Call 1

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

Outputs
#<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)))>

Calls

6 calls:

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

rewrite527.0ms (8.2%)

Memory

4.0MiB live, 953.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

18 200×	`lower-fma.f32`
18 198×	`lower-fma.f64`
4 320×	`lower-*.f64`
4 320×	`lower-*.f32`
3 924×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	4
0	6	4
1	21	4
2	153	4
3	1498	4
0	8258	4

Stop Event

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

Counts

1 → 211

Calls

Call 1

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

Outputs
(+.f64 x (*.f64 y #s(literal -1/2 binary64)))
(+.f64 (*.f64 y #s(literal -1/2 binary64)) x)
(+.f64 (.f64 y #s(literal -1/2 binary64)) (.f64 #s(literal 1 binary64) x))
(+.f64 (.f64 (.f64 y y) (/.f64 #s(literal -1/4 binary64) (fma.f64 y #s(literal 1/2 binary64) x))) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 y #s(literal -1/2 binary64)) x)))))
(+.f64 (.f64 (.f64 y y) (/.f64 #s(literal -1/4 binary64) (fma.f64 y #s(literal 1/2 binary64) x))) (.f64 (neg.f64 x) (/.f64 x (-.f64 (.f64 y #s(literal -1/2 binary64)) x))))
(+.f64 (.f64 (.f64 y y) (/.f64 #s(literal -1/4 binary64) (fma.f64 y #s(literal 1/2 binary64) x))) (.f64 (.f64 x (neg.f64 x)) (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal 1/2 binary64) x))))
(+.f64 (.f64 (.f64 y y) (/.f64 #s(literal -1/4 binary64) (fma.f64 y #s(literal 1/2 binary64) x))) (.f64 (neg.f64 (/.f64 (.f64 x x) (fma.f64 y (.f64 y #s(literal 1/4 binary64)) (.f64 x (neg.f64 x))))) (fma.f64 y #s(literal -1/2 binary64) x)))
(+.f64 (.f64 (.f64 y y) (/.f64 #s(literal -1/4 binary64) (fma.f64 y #s(literal 1/2 binary64) x))) (.f64 (neg.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64) (.f64 (.f64 x (neg.f64 x)) x)))) (fma.f64 y (.f64 y #s(literal 1/4 binary64)) (.f64 x (fma.f64 y #s(literal -1/2 binary64) x)))))
(+.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 y #s(literal -1/2 binary64)))) (neg.f64 (/.f64 (.f64 y (.f64 y #s(literal 1/4 binary64))) (-.f64 x (*.f64 y #s(literal -1/2 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) x))) #s(literal -1 binary64)))
(-.f64 (*.f64 y #s(literal -1/2 binary64)) (neg.f64 x))
(-.f64 (.f64 (.f64 y y) (/.f64 #s(literal -1/4 binary64) (fma.f64 y #s(literal 1/2 binary64) x))) (.f64 x (/.f64 x (-.f64 (.f64 y #s(literal -1/2 binary64)) x))))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 y #s(literal -1/2 binary64) x)))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 y #s(literal -1/2 binary64)))) (/.f64 (.f64 y (.f64 y #s(literal 1/4 binary64))) (-.f64 x (*.f64 y #s(literal -1/2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 y #s(literal 1/2 binary64) x)) (neg.f64 (fma.f64 y #s(literal -1/2 binary64) x)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/64 binary64))) (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64) (.f64 (.f64 x (neg.f64 x)) x))) (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) (.f64 #s(literal 1/2 binary64) x)) (.f64 x x))) (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64) (.f64 (.f64 x (neg.f64 x)) x))) (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) (.f64 #s(literal 1/2 binary64) x)) (*.f64 x x))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/64 binary64))) (fma.f64 (.f64 x x) (fma.f64 y (.f64 y #s(literal 1/4 binary64)) (.f64 x x)) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/16 binary64))))) (-.f64 (.f64 y #s(literal -1/2 binary64)) x)) (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) (fma.f64 y (.f64 y #s(literal 1/4 binary64)) (.f64 x x)) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/16 binary64))))) (-.f64 (*.f64 y #s(literal -1/2 binary64)) x)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/16 binary64))) (fma.f64 y (.f64 y #s(literal 1/4 binary64)) (.f64 x x))) (-.f64 (.f64 y #s(literal -1/2 binary64)) x)) (/.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 y (.f64 y #s(literal 1/4 binary64)) (.f64 x x))) (-.f64 (*.f64 y #s(literal -1/2 binary64)) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) (.f64 #s(literal 1/2 binary64) x)) (.f64 x x)))) (neg.f64 (fma.f64 y #s(literal -1/2 binary64) x)))
(-.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/64 binary64))) (.f64 (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) (.f64 #s(literal 1/2 binary64) x)) (.f64 x x)) (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64) (.f64 (.f64 x (neg.f64 x)) x)))) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) (.f64 #s(literal 1/2 binary64) x)) (.f64 x x)) (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64) (.f64 (*.f64 x (neg.f64 x)) x)))))
(-.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/64 binary64))) (.f64 (-.f64 (.f64 y #s(literal -1/2 binary64)) x) (fma.f64 (.f64 x x) (fma.f64 y (.f64 y #s(literal 1/4 binary64)) (.f64 x x)) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/16 binary64)))))) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (-.f64 (.f64 y #s(literal -1/2 binary64)) x) (fma.f64 (.f64 x x) (fma.f64 y (.f64 y #s(literal 1/4 binary64)) (.f64 x x)) (.f64 (.f64 y y) (.f64 (*.f64 y y) #s(literal 1/16 binary64)))))))
(-.f64 (/.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/16 binary64))) (.f64 (-.f64 (.f64 y #s(literal -1/2 binary64)) x) (fma.f64 y (.f64 y #s(literal 1/4 binary64)) (.f64 x x)))) (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (-.f64 (.f64 y #s(literal -1/2 binary64)) x) (fma.f64 y (.f64 y #s(literal 1/4 binary64)) (*.f64 x x)))))
(-.f64 (/.f64 (.f64 (.f64 y (.f64 y #s(literal 1/4 binary64))) (-.f64 (.f64 y #s(literal -1/2 binary64)) x)) (.f64 (-.f64 (.f64 y #s(literal -1/2 binary64)) x) (-.f64 (.f64 y #s(literal -1/2 binary64)) x))) (/.f64 (.f64 (-.f64 (.f64 y #s(literal -1/2 binary64)) x) (.f64 x x)) (.f64 (-.f64 (.f64 y #s(literal -1/2 binary64)) x) (-.f64 (*.f64 y #s(literal -1/2 binary64)) x))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 y y) (/.f64 #s(literal -1/4 binary64) (fma.f64 y #s(literal 1/2 binary64) x))) (.f64 (.f64 (.f64 y y) #s(literal 1/16 binary64)) (.f64 (/.f64 y (-.f64 (.f64 y #s(literal -1/2 binary64)) x)) (/.f64 y (-.f64 (.f64 y #s(literal -1/2 binary64)) x))))) (fma.f64 (.f64 (.f64 y y) #s(literal 1/16 binary64)) (.f64 (/.f64 y (-.f64 (.f64 y #s(literal -1/2 binary64)) x)) (/.f64 y (-.f64 (.f64 y #s(literal -1/2 binary64)) x))) (fma.f64 (.f64 x x) (.f64 (/.f64 x (-.f64 (.f64 y #s(literal -1/2 binary64)) x)) (/.f64 x (-.f64 (.f64 y #s(literal -1/2 binary64)) x))) (.f64 (.f64 (.f64 y y) (/.f64 #s(literal -1/4 binary64) (fma.f64 y #s(literal 1/2 binary64) x))) (.f64 x (/.f64 x (-.f64 (.f64 y #s(literal -1/2 binary64)) x))))))) (/.f64 (.f64 (.f64 x (/.f64 x (-.f64 (.f64 y #s(literal -1/2 binary64)) x))) (.f64 (.f64 x (/.f64 x (-.f64 (.f64 y #s(literal -1/2 binary64)) x))) (.f64 x (/.f64 x (-.f64 (.f64 y #s(literal -1/2 binary64)) x))))) (fma.f64 (.f64 (.f64 y y) #s(literal 1/16 binary64)) (.f64 (/.f64 y (-.f64 (.f64 y #s(literal -1/2 binary64)) x)) (/.f64 y (-.f64 (.f64 y #s(literal -1/2 binary64)) x))) (fma.f64 (.f64 x x) (.f64 (/.f64 x (-.f64 (.f64 y #s(literal -1/2 binary64)) x)) (/.f64 x (-.f64 (.f64 y #s(literal -1/2 binary64)) x))) (.f64 (.f64 (.f64 y y) (/.f64 #s(literal -1/4 binary64) (fma.f64 y #s(literal 1/2 binary64) x))) (.f64 x (/.f64 x (-.f64 (*.f64 y #s(literal -1/2 binary64)) x))))))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 y y) #s(literal 1/16 binary64)) (.f64 (/.f64 y (-.f64 (.f64 y #s(literal -1/2 binary64)) x)) (/.f64 y (-.f64 (.f64 y #s(literal -1/2 binary64)) x)))) (fma.f64 (.f64 y y) (/.f64 #s(literal -1/4 binary64) (fma.f64 y #s(literal 1/2 binary64) x)) (.f64 x (/.f64 x (-.f64 (.f64 y #s(literal -1/2 binary64)) x))))) (/.f64 (.f64 (.f64 x (/.f64 x (-.f64 (.f64 y #s(literal -1/2 binary64)) x))) (.f64 x (/.f64 x (-.f64 (.f64 y #s(literal -1/2 binary64)) x)))) (fma.f64 (.f64 y y) (/.f64 #s(literal -1/4 binary64) (fma.f64 y #s(literal 1/2 binary64) x)) (.f64 x (/.f64 x (-.f64 (*.f64 y #s(literal -1/2 binary64)) x))))))
(fma.f64 y #s(literal -1/2 binary64) x)
(fma.f64 y #s(literal -1/2 binary64) (*.f64 #s(literal 1 binary64) x))
(fma.f64 y (/.f64 (.f64 y #s(literal 1/4 binary64)) (-.f64 (.f64 y #s(literal -1/2 binary64)) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 y #s(literal -1/2 binary64)) x)))))
(fma.f64 y (/.f64 (.f64 y #s(literal 1/4 binary64)) (-.f64 (.f64 y #s(literal -1/2 binary64)) x)) (.f64 (neg.f64 x) (/.f64 x (-.f64 (.f64 y #s(literal -1/2 binary64)) x))))
(fma.f64 y (/.f64 (.f64 y #s(literal 1/4 binary64)) (-.f64 (.f64 y #s(literal -1/2 binary64)) x)) (.f64 (.f64 x (neg.f64 x)) (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal 1/2 binary64) x))))
(fma.f64 y (/.f64 (.f64 y #s(literal 1/4 binary64)) (-.f64 (.f64 y #s(literal -1/2 binary64)) x)) (.f64 (neg.f64 (/.f64 (.f64 x x) (fma.f64 y (.f64 y #s(literal 1/4 binary64)) (.f64 x (neg.f64 x))))) (fma.f64 y #s(literal -1/2 binary64) x)))
(fma.f64 y (/.f64 (.f64 y #s(literal 1/4 binary64)) (-.f64 (.f64 y #s(literal -1/2 binary64)) x)) (.f64 (neg.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64) (.f64 (.f64 x (neg.f64 x)) x)))) (fma.f64 y (.f64 y #s(literal 1/4 binary64)) (.f64 x (fma.f64 y #s(literal -1/2 binary64) x)))))
(fma.f64 #s(literal -1/2 binary64) y x)
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1 binary64) x))
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(.f64 (/.f64 (-.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/64 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (-.f64 (.f64 y #s(literal -1/2 binary64)) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 y (.f64 y #s(literal 1/4 binary64)) (.f64 x x)) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/16 binary64))))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/16 binary64))) (.f64 x (.f64 x (.f64 x x)))) (-.f64 (.f64 y #s(literal -1/2 binary64)) x)) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y #s(literal 1/4 binary64)) (*.f64 x x))))
(.f64 (/.f64 (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64) (.f64 x (.f64 x x))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (-.f64 x (.f64 y #s(literal -1/2 binary64))) (.f64 (-.f64 x (.f64 y #s(literal -1/2 binary64))) (-.f64 x (.f64 y #s(literal -1/2 binary64))))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/64 binary64))))) (fma.f64 (.f64 x (-.f64 x (.f64 y #s(literal -1/2 binary64)))) (fma.f64 x (-.f64 x (.f64 y #s(literal -1/2 binary64))) (.f64 #s(literal -1/4 binary64) (.f64 y y))) (.f64 (.f64 y y) (.f64 (*.f64 y y) #s(literal 1/16 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64) (.f64 x (.f64 x x))) (.f64 (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) (.f64 #s(literal 1/2 binary64) x)) (.f64 x x)) (-.f64 (.f64 y (.f64 y #s(literal 1/4 binary64))) (.f64 x (-.f64 x (.f64 y #s(literal -1/2 binary64))))))) (-.f64 (.f64 y (.f64 y #s(literal 1/4 binary64))) (.f64 x (-.f64 x (.f64 y #s(literal -1/2 binary64))))))
(.f64 (/.f64 (fma.f64 y (.f64 y #s(literal 1/4 binary64)) (.f64 x (neg.f64 x))) (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64) (.f64 (.f64 x (neg.f64 x)) x))) (fma.f64 y (.f64 y #s(literal 1/4 binary64)) (*.f64 x (fma.f64 y #s(literal -1/2 binary64) x))))
(.f64 (pow.f64 (/.f64 (-.f64 (.f64 y #s(literal -1/2 binary64)) x) (-.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/64 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 y (.f64 y #s(literal 1/4 binary64)) (.f64 x x)) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/16 binary64))))))
(.f64 (pow.f64 (/.f64 (-.f64 (.f64 y #s(literal -1/2 binary64)) x) (-.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/16 binary64))) (.f64 x (.f64 x (.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y #s(literal 1/4 binary64)) (*.f64 x x))))
(.f64 (pow.f64 (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) (.f64 #s(literal 1/2 binary64) x)) (.f64 x x)) (fma.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) #s(literal -1/512 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) (.f64 #s(literal 1/8 binary64) (.f64 y (.f64 y y)))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (*.f64 y y)) #s(literal 1/64 binary64))))))
(.f64 (pow.f64 (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) (.f64 #s(literal 1/2 binary64) x)) (.f64 x x)) (-.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/64 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64) (.f64 (.f64 x (neg.f64 x)) x))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) x)) #s(literal -1/2 binary64)))

simplify365.0ms (5.7%)

Memory

1.3MiB live, 443.0MiB allocated

Algorithm

1×	egg-herbie

Rules

6 592×	`lower-fma.f64`
6 592×	`lower-fma.f32`
4 288×	`lower-*.f64`
4 288×	`lower-*.f32`
3 864×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	102
1	64	102
2	170	102
3	432	102
4	1141	102
5	2554	102
6	3411	102
7	3878	102
8	4284	102
9	4479	102
10	4583	102
11	5301	102
12	5633	102
13	5641	102
14	5641	102
15	5641	102
0	10131	84

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 21

Calls

Call 1

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

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

eval27.0ms (0.4%)

Memory: -10.8MiB live, 63.4MiB allocated
Compiler: Compiled 8 028 to 511 computations (93.6% saved)

prune33.0ms (0.5%)

Memory

0.3MiB live, 85.0MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	232	0	232
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	232	5	237

Accuracy

100.0%

Counts

237 → 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)
✓	57.8%	(fma.f64 y #s(literal -1/2 binary64) x)
✓	100.0%	(fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))
✓	52.1%	(*.f64 x #s(literal 3/2 binary64))
✓	49.3%	(*.f64 #s(literal -1/2 binary64) y)

Compiler

Compiled 240 to 87 computations (63.8% saved)

regimes19.0ms (0.3%)

Memory

-1.6MiB live, 36.5MiB allocated

Counts

18 → 1

Calls

Call 1

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

Calls

3 calls:

7.0ms	y
6.0ms	(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
5.0ms	x

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)

regimes8.0ms (0.1%)

Memory

15.7MiB live, 15.7MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory

-22.7MiB live, 14.3MiB allocated

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	x
2.0ms	(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
2.0ms	y

Results

Accuracy	Segments	Branch
79.5%	3	`x`
78.4%	3	`y`
64.3%	3	`(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes3.0ms (0.1%)

Memory

7.8MiB live, 7.8MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
75.5%	3	`y`
77.9%	3	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0.1%)

Memory

9.9MiB live, 9.9MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

Outputs
(*.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
49.3%	1	`(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))`
49.3%	1	`y`
49.3%	1	`x`

Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch22.0ms (0.3%)

Memory

-2.4MiB live, 35.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	2.015764117907468e-35	2.903009010479349e-34
10.0ms	-5.527043700912658e+31	-2.041688271070362e+28

Samples

10.0ms	205×	0	valid
1.0ms	12×	1	valid
1.0ms	6×	2	valid
0.0ms	1×	3	valid

Compiler

Compiled 194 to 151 computations (22.2% saved)

Precisions

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

ival-div: 4.0ms (54.7% of total)

ival-sub: 1.0ms (13.7% of total)

ival-add: 1.0ms (13.7% 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)

bsearch14.0ms (0.2%)

Memory

21.7MiB live, 21.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	1.8086067299060353e-66	4.318976440426796e-56
1.0ms	-5.527043700912658e+31	-2.041688271070362e+28

Samples

6.0ms	159×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 228 to 191 computations (16.2% saved)

Precisions

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

ival-div: 1.0ms (35.1% of total)

ival-add: 1.0ms (35.1% of total)

ival-sub: 1.0ms (35.1% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

simplify13.0ms (0.2%)

Memory

-29.3MiB live, 12.1MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
4×	`+-commutative_binary64`
4×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	50
1	25	50
2	30	50
3	32	50
4	33	50

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
(if (<=.f64 x #s(literal -194999999999999984174253473792 binary64)) (.f64 x #s(literal 3/2 binary64)) (if (<=.f64 x #s(literal 2151330410151089/23384026197294446691258957323460528314494920687616 binary64)) (fma.f64 y #s(literal -1/2 binary64) x) (.f64 x #s(literal 3/2 binary64))))
(if (<=.f64 x #s(literal -194999999999999984174253473792 binary64)) (.f64 x #s(literal 3/2 binary64)) (if (<=.f64 x #s(literal 7526485800425553/57896044618658097711785492504343953926634992332820282019728792003956564819968 binary64)) (.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal 3/2 binary64))))
(*.f64 #s(literal -1/2 binary64) y)

Outputs
(fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
(if (<=.f64 x #s(literal -194999999999999984174253473792 binary64)) (.f64 x #s(literal 3/2 binary64)) (if (<=.f64 x #s(literal 2151330410151089/23384026197294446691258957323460528314494920687616 binary64)) (fma.f64 y #s(literal -1/2 binary64) x) (.f64 x #s(literal 3/2 binary64))))
(if (<=.f64 x #s(literal -194999999999999984174253473792 binary64)) (.f64 #s(literal 3/2 binary64) x) (if (<=.f64 x #s(literal 2151330410151089/23384026197294446691258957323460528314494920687616 binary64)) (fma.f64 y #s(literal -1/2 binary64) x) (.f64 #s(literal 3/2 binary64) x)))
(if (<=.f64 x #s(literal -194999999999999984174253473792 binary64)) (.f64 x #s(literal 3/2 binary64)) (if (<=.f64 x #s(literal 7526485800425553/57896044618658097711785492504343953926634992332820282019728792003956564819968 binary64)) (.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal 3/2 binary64))))
(if (<=.f64 x #s(literal -194999999999999984174253473792 binary64)) (.f64 #s(literal 3/2 binary64) x) (if (<=.f64 x #s(literal 7526485800425553/57896044618658097711785492504343953926634992332820282019728792003956564819968 binary64)) (.f64 y #s(literal -1/2 binary64)) (*.f64 #s(literal 3/2 binary64) x)))
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 y #s(literal -1/2 binary64))

soundness774.0ms (12%)

Memory

9.3MiB live, 519.6MiB allocated

Rules

7 504×	`lower-fma.f64`
7 504×	`lower-fma.f32`
7 284×	`lower-fma.f32`
7 278×	`lower-fma.f64`
6 242×	`lower-fma.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
0	21	111
0	39	104
1	183	80
2	1704	80
0	8566	77
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	9	20
0	15	20
1	50	20
2	304	20
3	3070	20
0	8289	19

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×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 111 to 62 computations (44.1% saved)

preprocess40.0ms (0.6%)

Memory: 31.4MiB live, 109.2MiB allocated
Compiler: Compiled 140 to 66 computations (52.9% 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	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

analyze0.0ms (0%)

sample684.0ms (10.6%)

preprocess86.0ms (1.3%)

explain75.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify29.0ms (0.4%)

localize27.0ms (0.4%)

series3.0ms (0.1%)

rewrite339.0ms (5.3%)

simplify236.0ms (3.7%)

eval85.0ms (1.3%)

prune112.0ms (1.7%)

simplify348.0ms (5.4%)

localize89.0ms (1.4%)

series19.0ms (0.3%)

rewrite451.0ms (7%)

simplify305.0ms (4.8%)

eval215.0ms (3.4%)

prune196.0ms (3.1%)

simplify6.0ms (0.1%)

localize35.0ms (0.5%)

series3.0ms (0%)

rewrite572.0ms (8.9%)

simplify505.0ms (7.9%)

eval71.0ms (1.1%)

prune53.0ms (0.8%)

simplify8.0ms (0.1%)

localize14.0ms (0.2%)

series0.0ms (0%)

rewrite527.0ms (8.2%)

simplify365.0ms (5.7%)

eval27.0ms (0.4%)

prune33.0ms (0.5%)

regimes19.0ms (0.3%)

regimes8.0ms (0.1%)

regimes9.0ms (0.1%)

regimes3.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch22.0ms (0.3%)

bsearch14.0ms (0.2%)

simplify13.0ms (0.2%)

soundness774.0ms (12%)

preprocess40.0ms (0.6%)

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