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

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 10 to 7 computations (30% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

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

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

sample829.0ms (10%)

Results

490.0ms	7611×	0	valid
62.0ms	150×	3	valid
41.0ms	180×	2	valid
38.0ms	315×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 269.0ms

ival-div: 92.0ms (34.2% of total)

ival-sub: 90.0ms (33.4% of total)

ival-add: 54.0ms (20.1% of total)

backward-pass: 20.0ms (7.4% of total)

const: 13.0ms (4.8% of total)

Bogosity

preprocess174.0ms (2.1%)

Algorithm

2×	egg-herbie

Rules

1382×	`fnmadd-define`
1274×	`fmsub-define`
1268×	`fnmsub-define`
1178×	`sum5-define`
1078×	`fmm-def`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	19	48
1	51	42
2	158	42
3	551	42
4	1556	36
5	3707	36
6	4884	36
7	4988	36
0	6	7
1	12	7
2	23	7
3	46	7
4	92	7
5	227	7
6	654	7
7	1200	6
8	2087	6
9	2656	6
10	2806	6
0	2806	6

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

Inputs
(+ x (/ (- x y) 2))
(+ (neg x) (/ (- (neg x) y) 2))
(+ x (/ (- x (neg y)) 2))
(neg (+ (neg x) (/ (- (neg x) y) 2)))
(neg (+ x (/ (- x (neg y)) 2)))
(+ y (/ (- y x) 2))

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

explain92.0ms (1.1%)

FPErrors

Click to see full error table

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

Results

46.0ms	460×	0	valid
8.0ms	14×	2	valid
4.0ms	26×	1	valid
4.0ms	12×	3	valid

Compiler

Compiled 51 to 20 computations (60.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-div: 5.0ms (31.6% of total)

ival-sub: 4.0ms (25.2% of total)

ival-add: 3.0ms (18.9% of total)

backward-pass: 2.0ms (12.6% of total)

const: 1.0ms (6.3% of total)

eval0.0ms (0%)

Compiler: Compiled 9 to 7 computations (22.2% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))
▶	99.8%	(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))

Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify66.0ms (0.8%)

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Rules

820×	`sum5-define`
688×	`fnmadd-define`
660×	`sum4-define`
602×	`fmsub-define`
598×	`fnmsub-define`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	11	35
1	19	35
2	32	35
3	58	35
4	110	35
5	267	35
6	728	35
7	1375	33
8	2391	33
9	2892	33
10	3006	33
0	3006	33

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize63.0ms (0.8%)

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 y #s(literal -2 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal 3/2 binary64))
✓	accuracy	99.8%	(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))
✓	accuracy	100.0%	(/.f64 (-.f64 x y) #s(literal 2 binary64))
✓	accuracy	100.0%	(-.f64 x y)
✓	accuracy	99.8%	(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))

Results

36.0ms	230×	0	valid
4.0ms	13×	1	valid
4.0ms	6×	3	valid
3.0ms	7×	2	valid

Compiler

Compiled 38 to 12 computations (68.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-div: 8.0ms (42.4% of total)

ival-sub: 3.0ms (15.9% of total)

ival-add: 3.0ms (15.9% of total)

ival-mult: 2.0ms (10.6% of total)

const: 1.0ms (5.3% of total)

backward-pass: 1.0ms (5.3% of total)

series6.0ms (0.1%)

Counts

6 → 120

Calls

Call 1

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

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

Calls

30 calls:

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

rewrite338.0ms (4.1%)

Algorithm

1×	batch-egg-rewrite

Rules

4726×	`-lowering-.f32`
4726×	`-lowering-.f64`
3668×	`/-lowering-/.f32`
3668×	`/-lowering-/.f64`
1642×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	28
1	70	26
2	667	26
0	8622	26

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 337

Calls

Call 1

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

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

simplify180.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

2004×	`-lowering-.f32`
2004×	`-lowering-.f64`
1520×	`fma-define`
1144×	`fnmadd-define`
936×	`times-frac`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	66	513
1	210	513
2	629	513
3	1850	495
4	5615	495
0	8183	495

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

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

Outputs
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x))
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x))
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x))
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x))
(* x (+ 3/2 (* -1/2 (/ y x))))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x))
(* x (+ 3/2 (* -1/2 (/ y x))))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x))
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x))
(+ x (* 1/2 x))
(*.f64 #s(literal 3/2 binary64) x)
(+ x (+ (* -1/2 y) (* 1/2 x)))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x))
(* -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 x #s(literal 1/2 binary64))
(* 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 x #s(literal 1/2 binary64))
(* -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 x #s(literal 1/2 binary64))
(+ (* -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 y)
(-.f64 #s(literal 0 binary64) 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)
(-.f64 #s(literal 0 binary64) y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* -1 y)
(-.f64 #s(literal 0 binary64) 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)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x))
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x))
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* y (- (* 3/2 (/ x y)) 1/2))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x))
(* y (- (* 3/2 (/ x y)) 1/2))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x))
(* y (- (* 3/2 (/ x y)) 1/2))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x))
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x))
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x))
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x))
(* x (+ 3/2 (* -1/2 (/ y x))))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x))
(* x (+ 3/2 (* -1/2 (/ y x))))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x))
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) 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)
(* 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)

eval81.0ms (1%)

Compiler: Compiled 9264 to 1161 computations (87.5% saved)

prune71.0ms (0.9%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	444	13	457
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	444	15	459

Accuracy

100.0%

Counts

459 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 x #s(literal 3/2 binary64) (/.f64 y #s(literal -2 binary64)))
	52.3%	(/.f64 (-.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (*.f64 x x)) (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x))
	53.4%	(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 9/4 binary64)) (/.f64 (.f64 y y) #s(literal 4 binary64))) (+.f64 (.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64))))
	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))))
	99.8%	(-.f64 (/.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 y #s(literal 2 binary64)) x))
✓	99.8%	(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))
	53.9%	(+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (.f64 y y)))) (+.f64 x y)))
✓	99.8%	(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
▶	77.7%	(+.f64 x (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) y) (.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal -2 binary64) y))))
	99.7%	(+.f64 x (/.f64 (.f64 (+.f64 x y) (.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 x y)))) #s(literal 2 binary64)))
▶	53.9%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (.f64 (-.f64 (.f64 x x) (*.f64 y y)) #s(literal 1/2 binary64)))))
▶	99.7%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 x y))))
	55.5%	(+.f64 x (*.f64 #s(literal -1/2 binary64) y))
	54.1%	(*.f64 #s(literal 3/2 binary64) x)
▶	46.5%	(*.f64 #s(literal -1/2 binary64) y)

Compiler

Compiled 382 to 249 computations (34.8% saved)

simplify188.0ms (2.3%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (+.f64 (/.f64 #s(literal -2 binary64) y) (.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal -2 binary64) y)))
✓	cost-diff	0	(+.f64 x (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) y) (.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal -2 binary64) y))))
✓	cost-diff	128	(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal -2 binary64) y))
✓	cost-diff	128	(*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
✓	cost-diff	0	(+.f64 x y)
✓	cost-diff	0	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (.f64 (-.f64 (.f64 x x) (*.f64 y y)) #s(literal 1/2 binary64)))))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (.f64 (-.f64 (.f64 x x) (*.f64 y y)) #s(literal 1/2 binary64))))
✓	cost-diff	512	(/.f64 (+.f64 x y) (.f64 (-.f64 (.f64 x x) (*.f64 y y)) #s(literal 1/2 binary64)))
✓	cost-diff	0	(-.f64 x y)
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (-.f64 x y))
✓	cost-diff	0	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 x y))))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 x y)))
✓	cost-diff	0	(*.f64 #s(literal -1/2 binary64) y)
✓	cost-diff	0	(/.f64 y #s(literal -2 binary64))
✓	cost-diff	6272	(fma.f64 x #s(literal 3/2 binary64) (/.f64 y #s(literal -2 binary64)))

Rules

2062×	`sum3-define`
1776×	`fma-define`
1600×	`-lowering-.f32`
1600×	`-lowering-.f64`
1568×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	142
1	72	134
2	157	133
3	475	133
4	1851	133
5	6142	133
0	8177	133

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize265.0ms (3.2%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (/.f64 #s(literal -2 binary64) y) (*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))
✓	accuracy	99.8%	(+.f64 x (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) y) (.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal -2 binary64) y))))
✓	accuracy	99.5%	(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal -2 binary64) y))
✓	accuracy	76.9%	(/.f64 (+.f64 (/.f64 #s(literal -2 binary64) y) (.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal -2 binary64) y)))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (.f64 (-.f64 (.f64 x x) (*.f64 y y)) #s(literal 1/2 binary64))))
✓	accuracy	99.7%	(.f64 (-.f64 (.f64 x x) (*.f64 y y)) #s(literal 1/2 binary64))
✓	accuracy	93.9%	(-.f64 (.f64 x x) (.f64 y y))
✓	accuracy	54.3%	(/.f64 (+.f64 x y) (.f64 (-.f64 (.f64 x x) (*.f64 y y)) #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(-.f64 x y)
✓	accuracy	100.0%	(/.f64 #s(literal 2 binary64) (-.f64 x y))
✓	accuracy	99.8%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 x y))))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 x y)))
✓	accuracy	100.0%	(*.f64 #s(literal -1/2 binary64) y)
✓	accuracy	100.0%	(fma.f64 x #s(literal 3/2 binary64) (/.f64 y #s(literal -2 binary64)))
✓	accuracy	100.0%	(/.f64 y #s(literal -2 binary64))

Results

139.0ms	208×	0	valid
38.0ms	16×	2	valid
22.0ms	8×	3	valid
20.0ms	23×	1	valid
3.0ms	1×	5	exit

Compiler

Compiled 191 to 31 computations (83.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 108.0ms

ival-mult: 52.0ms (48% of total)

ival-div: 23.0ms (21.2% of total)

ival-add: 11.0ms (10.2% of total)

compiled-spec: 8.0ms (7.4% of total)

backward-pass: 8.0ms (7.4% of total)

ival-sub: 5.0ms (4.6% of total)

const: 1.0ms (0.9% of total)

series38.0ms (0.5%)

Counts

18 → 396

Calls

Call 1

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

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

Calls

99 calls:

Time	Variable		Point	Expression
8.0ms	y	@	-inf	(/ (+ x y) (* (- (* x x) (* y y)) 1/2))
5.0ms	x	@	0	(/ 1 (/ (+ x y) (* (- (* x x) (* y y)) 1/2)))
3.0ms	x	@	inf	(+ x (/ (+ (/ -2 y) (* (/ 2 x) 1)) (* (/ 2 x) (/ -2 y))))
2.0ms	x	@	0	(- (* x x) (* y y))
1.0ms	y	@	0	(/ (+ x y) (* (- (* x x) (* y y)) 1/2))

rewrite388.0ms (4.7%)

Algorithm

1×	batch-egg-rewrite

Rules

2734×	`/-lowering-/.f32`
2734×	`/-lowering-/.f64`
2370×	`-lowering-.f32`
2370×	`-lowering-.f64`
2302×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	107
1	212	104
2	2218	104
0	8410	104

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 804

Calls

Call 1

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

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

simplify327.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

5826×	`-lowering-.f32`
5826×	`-lowering-.f64`
1846×	`/-lowering-/.f32`
1846×	`/-lowering-/.f64`
1710×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	283	2853
1	926	2606
2	2516	2514
0	8380	2514

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 396

Calls

Call 1

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

Outputs
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x))
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x))
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x))
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(.f64 x (+.f64 #s(literal 3/2 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) y) x)))
(* x (+ 3/2 (* -1/2 (/ y x))))
(.f64 x (+.f64 #s(literal 3/2 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) y) x)))
(* x (+ 3/2 (* -1/2 (/ y x))))
(.f64 x (+.f64 #s(literal 3/2 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) y) x)))
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(.f64 x (+.f64 #s(literal 3/2 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) y) x)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(.f64 x (+.f64 #s(literal 3/2 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) y) x)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(.f64 x (+.f64 #s(literal 3/2 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) y) x)))
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x))
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x))
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* y (- (* 3/2 (/ x y)) 1/2))
(.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 3/2 binary64) (/.f64 x y))))
(* y (- (* 3/2 (/ x y)) 1/2))
(.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 3/2 binary64) (/.f64 x y))))
(* y (- (* 3/2 (/ x y)) 1/2))
(.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 3/2 binary64) (/.f64 x y))))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 3/2 binary64) (/.f64 x y))))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 3/2 binary64) (/.f64 x y))))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 3/2 binary64) (/.f64 x 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)
(*.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) (* 1/2 x))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 x #s(literal 1/2 binary64)))
(+ (* -1/2 y) (* 1/2 x))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 x #s(literal 1/2 binary64)))
(+ (* -1/2 y) (* 1/2 x))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 x #s(literal 1/2 binary64)))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* -1/2 (/ y x))))
(.f64 x (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) y) x) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* -1/2 (/ y x))))
(.f64 x (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) y) x) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* -1/2 (/ y x))))
(.f64 x (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) y) x) #s(literal 1/2 binary64)))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(.f64 x (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) y) x) #s(literal 1/2 binary64)))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(.f64 x (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) y) x) #s(literal 1/2 binary64)))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(.f64 x (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) y) x) #s(literal 1/2 binary64)))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(+ (* -1/2 y) (* 1/2 x))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 x #s(literal 1/2 binary64)))
(+ (* -1/2 y) (* 1/2 x))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 x #s(literal 1/2 binary64)))
(+ (* -1/2 y) (* 1/2 x))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 x #s(literal 1/2 binary64)))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* y (- (* 1/2 (/ x y)) 1/2))
(.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x #s(literal 1/2 binary64)) y)))
(* y (- (* 1/2 (/ x y)) 1/2))
(.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x #s(literal 1/2 binary64)) y)))
(* y (- (* 1/2 (/ x y)) 1/2))
(.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x #s(literal 1/2 binary64)) y)))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x #s(literal 1/2 binary64)) y)))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x #s(literal 1/2 binary64)) y)))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x #s(literal 1/2 binary64)) y)))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x))
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x))
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x))
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(.f64 x (+.f64 #s(literal 3/2 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) y) x)))
(* x (+ 3/2 (* -1/2 (/ y x))))
(.f64 x (+.f64 #s(literal 3/2 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) y) x)))
(* x (+ 3/2 (* -1/2 (/ y x))))
(.f64 x (+.f64 #s(literal 3/2 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) y) x)))
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(.f64 x (+.f64 #s(literal 3/2 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) y) x)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(.f64 x (+.f64 #s(literal 3/2 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) y) x)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(.f64 x (+.f64 #s(literal 3/2 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) y) x)))
(+ x (* 1/2 x))
(*.f64 #s(literal 3/2 binary64) x)
(+ x (+ (* -1/2 y) (* 1/2 x)))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 3/2 binary64) (/.f64 x y))))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 3/2 binary64) (/.f64 x y))))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 3/2 binary64) (/.f64 x y))))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 3/2 binary64) (/.f64 x y))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 3/2 binary64) (/.f64 x y))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 3/2 binary64) (/.f64 x y))))
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))
(*.f64 (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y) #s(literal -2 binary64))
(- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (.f64 #s(literal -2 binary64) (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64)))) y)) y)
(- (* x (- (* x (- (* -2 (/ x (pow y 4))) (* 2 (/ 1 (pow y 3))))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))
(+.f64 (.f64 x (+.f64 (/.f64 (.f64 x (.f64 x #s(literal -2 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 y y))))) (/.f64 #s(literal -2 binary64) y))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (+ 2 (* 2 (/ y x))) x)
(/.f64 (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 2 binary64)) x)
(/ (- (+ 2 (* 2 (/ (pow y 2) (pow x 2)))) (* -2 (/ y x))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 y (+.f64 (/.f64 y x) #s(literal 1 binary64)))) x)) x)
(/ (- (+ 2 (* 2 (/ (pow y 3) (pow x 3)))) (+ (* -2 (/ y x)) (* -2 (/ (pow y 2) (pow x 2))))) x)
(/.f64 (.f64 #s(literal 2 binary64) (+.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (.f64 (/.f64 y x) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 y x))))) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(* -1 (/ (- (* -2 (/ y x)) 2) x))
(/.f64 (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 2 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow y 2) x)) (* -2 y)) x)) 2) x))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 y (+.f64 (/.f64 y x) #s(literal 1 binary64)))) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -2 (/ (pow y 3) x)) (* 2 (pow y 2))) x)) (* -2 y)) x)) 2) x))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 y (.f64 y (+.f64 (/.f64 y x) #s(literal 1 binary64))))) x) (.f64 y #s(literal 2 binary64))) x)) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))
(/.f64 (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 2 binary64)) x)
(+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))
(+.f64 (/.f64 #s(literal 2 binary64) x) (.f64 y (.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))
(+ (* y (+ (* y (+ (* 2 (/ y (pow x 4))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))
(+.f64 (/.f64 #s(literal 2 binary64) x) (.f64 y (+.f64 (.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (.f64 x x))) (/.f64 (.f64 y (*.f64 y #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))))
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(/ (- (* -2 (/ x y)) 2) y)
(*.f64 (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y) #s(literal -2 binary64))
(/ (- (* -2 (/ (pow x 2) (pow y 2))) (+ 2 (* 2 (/ x y)))) y)
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (.f64 #s(literal -2 binary64) (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64)))) y)) y)
(/ (- (* -2 (/ (pow x 3) (pow y 3))) (+ 2 (+ (* 2 (/ x y)) (* 2 (/ (pow x 2) (pow y 2)))))) y)
(/.f64 (+.f64 #s(literal -2 binary64) (.f64 #s(literal -2 binary64) (+.f64 (/.f64 x y) (.f64 (/.f64 x y) (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y)))))) y)
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(* -1 (/ (+ 2 (* 2 (/ x y))) y))
(*.f64 (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y) #s(literal -2 binary64))
(* -1 (/ (+ 2 (* -1 (/ (- (* -2 (/ (pow x 2) y)) (* 2 x)) y))) y))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (.f64 #s(literal -2 binary64) (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64)))) y)) y)
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow x 3) y)) (* -2 (pow x 2))) y)) (* 2 x)) y))) y))
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(.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x #s(literal 1/2 binary64)) y)))
(* y (- (* 1/2 (/ x y)) 1/2))
(.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x #s(literal 1/2 binary64)) y)))
(* y (- (* 1/2 (/ x y)) 1/2))
(.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x #s(literal 1/2 binary64)) y)))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x #s(literal 1/2 binary64)) y)))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x #s(literal 1/2 binary64)) y)))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x #s(literal 1/2 binary64)) y)))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(+ (* -1/2 y) (* 1/2 x))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 x #s(literal 1/2 binary64)))
(+ (* -1/2 y) (* 1/2 x))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 x #s(literal 1/2 binary64)))
(+ (* -1/2 y) (* 1/2 x))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 x #s(literal 1/2 binary64)))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* -1/2 (/ y x))))
(.f64 x (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) y) x) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* -1/2 (/ y x))))
(.f64 x (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) y) x) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* -1/2 (/ y x))))
(.f64 x (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) y) x) #s(literal 1/2 binary64)))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(.f64 x (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) y) x) #s(literal 1/2 binary64)))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(.f64 x (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) y) x) #s(literal 1/2 binary64)))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(.f64 x (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) y) x) #s(literal 1/2 binary64)))
(* -1 (pow y 2))
(-.f64 #s(literal 0 binary64) (*.f64 y y))
(- (pow x 2) (pow y 2))
(-.f64 (.f64 x x) (.f64 y y))
(- (pow x 2) (pow y 2))
(-.f64 (.f64 x x) (.f64 y y))
(- (pow x 2) (pow y 2))
(-.f64 (.f64 x x) (.f64 y y))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(.f64 x (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (.f64 x x)))))
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(.f64 x (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (.f64 x x)))))
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(.f64 x (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (.f64 x x)))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(.f64 x (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (.f64 x x)))))
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(.f64 x (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (.f64 x x)))))
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(.f64 x (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (.f64 x x)))))
(pow x 2)
(*.f64 x x)
(+ (* -1 (pow y 2)) (pow x 2))
(-.f64 (.f64 x x) (.f64 y y))
(+ (* -1 (pow y 2)) (pow x 2))
(-.f64 (.f64 x x) (.f64 y y))
(+ (* -1 (pow y 2)) (pow x 2))
(-.f64 (.f64 x x) (.f64 y y))
(* -1 (pow y 2))
(-.f64 #s(literal 0 binary64) (*.f64 y y))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(.f64 (.f64 y y) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x x) (.f64 y y))))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(.f64 (.f64 y y) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x x) (.f64 y y))))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(.f64 (.f64 y y) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x x) (.f64 y y))))
(* -1 (pow y 2))
(-.f64 #s(literal 0 binary64) (*.f64 y y))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(.f64 (.f64 y y) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x x) (.f64 y y))))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(.f64 (.f64 y y) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x x) (.f64 y y))))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(.f64 (.f64 y y) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x x) (.f64 y y))))
(* -1/2 (pow y 2))
(.f64 #s(literal -1/2 binary64) (.f64 y y))
(+ (* -1/2 (pow y 2)) (* 1/2 (pow x 2)))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 y y)) (.f64 x (.f64 x #s(literal 1/2 binary64))))
(+ (* -1/2 (pow y 2)) (* 1/2 (pow x 2)))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 y y)) (.f64 x (.f64 x #s(literal 1/2 binary64))))
(+ (* -1/2 (pow y 2)) (* 1/2 (pow x 2)))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 y y)) (.f64 x (.f64 x #s(literal 1/2 binary64))))
(* 1/2 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2 binary64)))
(* (pow x 2) (+ 1/2 (* -1/2 (/ (pow y 2) (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 y y) x)) x)))
(* (pow x 2) (+ 1/2 (* -1/2 (/ (pow y 2) (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 y y) x)) x)))
(* (pow x 2) (+ 1/2 (* -1/2 (/ (pow y 2) (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 y y) x)) x)))
(* 1/2 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2 binary64)))
(* (pow x 2) (+ 1/2 (* -1/2 (/ (pow y 2) (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 y y) x)) x)))
(* (pow x 2) (+ 1/2 (* -1/2 (/ (pow y 2) (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 y y) x)) x)))
(* (pow x 2) (+ 1/2 (* -1/2 (/ (pow y 2) (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 y y) x)) x)))
(* 1/2 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2 binary64)))
(+ (* -1/2 (pow y 2)) (* 1/2 (pow x 2)))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 y y)) (.f64 x (.f64 x #s(literal 1/2 binary64))))
(+ (* -1/2 (pow y 2)) (* 1/2 (pow x 2)))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 y y)) (.f64 x (.f64 x #s(literal 1/2 binary64))))
(+ (* -1/2 (pow y 2)) (* 1/2 (pow x 2)))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 y y)) (.f64 x (.f64 x #s(literal 1/2 binary64))))
(* -1/2 (pow y 2))
(.f64 #s(literal -1/2 binary64) (.f64 y y))
(* (pow y 2) (- (* 1/2 (/ (pow x 2) (pow y 2))) 1/2))
(.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (*.f64 y y))))
(* (pow y 2) (- (* 1/2 (/ (pow x 2) (pow y 2))) 1/2))
(.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (*.f64 y y))))
(* (pow y 2) (- (* 1/2 (/ (pow x 2) (pow y 2))) 1/2))
(.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (*.f64 y y))))
(* -1/2 (pow y 2))
(.f64 #s(literal -1/2 binary64) (.f64 y y))
(* (pow y 2) (- (* 1/2 (/ (pow x 2) (pow y 2))) 1/2))
(.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (*.f64 y y))))
(* (pow y 2) (- (* 1/2 (/ (pow x 2) (pow y 2))) 1/2))
(.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (*.f64 y y))))
(* (pow y 2) (- (* 1/2 (/ (pow x 2) (pow y 2))) 1/2))
(.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (*.f64 y y))))
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(/ (- (* 2 (/ y x)) 2) y)
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) y)
(/ (- (* 2 (/ y x)) 2) y)
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) y)
(/ (- (* 2 (/ y x)) 2) y)
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) y)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(- (* 2 (/ 1 x)) (* 2 (/ 1 y)))
(+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal -2 binary64) y))
(- (* 2 (/ 1 x)) (* 2 (/ 1 y)))
(+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal -2 binary64) y))
(- (* 2 (/ 1 x)) (* 2 (/ 1 y)))
(+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal -2 binary64) y))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(- (* 2 (/ 1 x)) (* 2 (/ 1 y)))
(+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal -2 binary64) y))
(- (* 2 (/ 1 x)) (* 2 (/ 1 y)))
(+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal -2 binary64) y))
(- (* 2 (/ 1 x)) (* 2 (/ 1 y)))
(+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal -2 binary64) y))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (+ 2 (* -2 (/ x y))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 x y) #s(literal -2 binary64))) x)
(/ (+ 2 (* -2 (/ x y))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 x y) #s(literal -2 binary64))) x)
(/ (+ 2 (* -2 (/ x y))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 x y) #s(literal -2 binary64))) x)
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(- (* 2 (/ 1 x)) (* 2 (/ 1 y)))
(+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal -2 binary64) y))
(- (* 2 (/ 1 x)) (* 2 (/ 1 y)))
(+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal -2 binary64) y))
(- (* 2 (/ 1 x)) (* 2 (/ 1 y)))
(+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal -2 binary64) y))
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(- (* 2 (/ 1 x)) (* 2 (/ 1 y)))
(+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal -2 binary64) y))
(- (* 2 (/ 1 x)) (* 2 (/ 1 y)))
(+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal -2 binary64) y))
(- (* 2 (/ 1 x)) (* 2 (/ 1 y)))
(+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal -2 binary64) y))

eval169.0ms (2%)

Compiler: Compiled 23670 to 2587 computations (89.1% saved)

prune146.0ms (1.8%)

Pruning

19 alts after pruning (15 fresh and 4 done)

	Pruned	Kept	Total
New	1189	11	1200
Fresh	4	4	8
Picked	3	2	5
Done	0	2	2
Total	1196	19	1215

Accuracy

100.0%

Counts

1215 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 x #s(literal 3/2 binary64) (/.f64 y #s(literal -2 binary64)))
	52.3%	(/.f64 (-.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (*.f64 x x)) (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x))
	53.4%	(/.f64 (-.f64 (/.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 (.f64 x x) #s(literal 9/4 binary64))) (-.f64 (/.f64 y #s(literal -2 binary64)) (.f64 x #s(literal 3/2 binary64))))
▶	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))))
	77.0%	(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal -2 binary64) y)) (/.f64 #s(literal -4 binary64) (*.f64 x y))) x)
✓	99.8%	(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))
	74.7%	(+.f64 x (/.f64 (/.f64 (+.f64 (.f64 #s(literal 2 binary64) y) (.f64 x #s(literal -2 binary64))) (.f64 x y)) (.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal -2 binary64) y))))
	44.7%	(+.f64 x (/.f64 (/.f64 #s(literal -2 binary64) y) (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal -2 binary64) y))))
✓	99.8%	(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
	77.8%	(+.f64 x (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) y) (*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal -4 binary64) x) y)))
▶	76.9%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -4 binary64) (*.f64 x y)) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal -2 binary64) y)))))
	30.3%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))
	54.1%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))
	86.2%	(+.f64 x (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal -2 binary64) y)) (/.f64 #s(literal -4 binary64) x)) y))
▶	53.9%	(+.f64 x (.f64 (-.f64 (.f64 x x) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) (+.f64 x y))))
	55.5%	(+.f64 x (*.f64 #s(literal -1/2 binary64) y))
▶	86.1%	(.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 3/2 binary64) (/.f64 x y))))
▶	54.1%	(*.f64 #s(literal 3/2 binary64) x)
✓	46.5%	(*.f64 #s(literal -1/2 binary64) y)

Compiler

Compiled 493 to 335 computations (32% saved)

simplify209.0ms (2.5%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal -4 binary64) (*.f64 x y))
✓	cost-diff	0	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -4 binary64) (*.f64 x y)) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal -2 binary64) y)))))
✓	cost-diff	256	(/.f64 (/.f64 #s(literal -4 binary64) (*.f64 x y)) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal -2 binary64) y)))
✓	cost-diff	384	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -4 binary64) (*.f64 x y)) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal -2 binary64) y))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(-.f64 (.f64 x x) (.f64 y y))
✓	cost-diff	0	(+.f64 x (.f64 (-.f64 (.f64 x x) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) (+.f64 x y))))
✓	cost-diff	512	(.f64 (-.f64 (.f64 x x) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) (+.f64 x y)))
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	0	(*.f64 #s(literal 3/2 binary64) (/.f64 x y))
✓	cost-diff	0	(+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y)))
✓	cost-diff	128	(.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 3/2 binary64) (/.f64 x y))))
✓	cost-diff	0	(*.f64 #s(literal 3/2 binary64) x)
✓	cost-diff	0	(/.f64 y #s(literal -2 binary64))
✓	cost-diff	0	(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64))))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))))

Rules

3200×	`-lowering-.f32`
3200×	`-lowering-.f64`
1794×	`/-lowering-/.f32`
1794×	`/-lowering-/.f64`
1214×	`+-lowering-+.f64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	34	160
1	78	153
2	167	153
3	444	153
4	1258	138
5	4836	136
0	8260	136

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize250.0ms (3%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -4 binary64) (*.f64 x y)) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal -2 binary64) y)))))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -4 binary64) (*.f64 x y)) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal -2 binary64) y))))
✓	accuracy	99.2%	(/.f64 #s(literal -4 binary64) (*.f64 x y))
✓	accuracy	76.8%	(/.f64 (/.f64 #s(literal -4 binary64) (*.f64 x y)) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal -2 binary64) y)))
✓	accuracy	100.0%	(/.f64 #s(literal 1/2 binary64) (+.f64 x y))
✓	accuracy	99.8%	(+.f64 x (.f64 (-.f64 (.f64 x x) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) (+.f64 x y))))
✓	accuracy	93.9%	(-.f64 (.f64 x x) (.f64 y y))
✓	accuracy	53.9%	(.f64 (-.f64 (.f64 x x) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) (+.f64 x y)))
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y)))
✓	accuracy	99.7%	(*.f64 #s(literal 3/2 binary64) (/.f64 x y))
✓	accuracy	86.2%	(.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 3/2 binary64) (/.f64 x y))))
✓	accuracy	100.0%	(*.f64 #s(literal 3/2 binary64) x)
✓	accuracy	100.0%	(*.f64 x #s(literal 3/2 binary64))
✓	accuracy	99.8%	(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64))))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))))

Results

96.0ms	208×	0	valid
41.0ms	8×	3	valid
26.0ms	16×	2	valid
23.0ms	23×	1	valid
3.0ms	1×	5	exit

Compiler

Compiled 198 to 35 computations (82.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 85.0ms

ival-mult: 36.0ms (42.3% of total)

ival-div: 28.0ms (32.9% of total)

ival-add: 11.0ms (12.9% of total)

backward-pass: 7.0ms (8.2% of total)

const: 2.0ms (2.3% of total)

ival-sub: 2.0ms (2.3% of total)

series19.0ms (0.2%)

Counts

19 → 408

Calls

Call 1

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

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

102 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(/ x y)
1.0ms	x	@	inf	(/ (/ -4 (* x y)) (+ (/ 2 x) (/ -2 y)))
0.0ms	y	@	0	(* y (+ -1/2 (* 3/2 (/ x y))))
0.0ms	y	@	-inf	(* y (+ -1/2 (* 3/2 (/ x y))))
0.0ms	y	@	inf	(* y (+ -1/2 (* 3/2 (/ x y))))

rewrite432.0ms (5.2%)

Algorithm

1×	batch-egg-rewrite

Rules

5126×	`-lowering-.f32`
5126×	`-lowering-.f64`
3346×	`/-lowering-/.f32`
3346×	`/-lowering-/.f64`
2970×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	139
1	226	130
2	2157	130
0	10464	130

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 581

Calls

Call 1

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

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

simplify376.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

4362×	`-lowering-.f32`
4362×	`-lowering-.f64`
2980×	`+-lowering-+.f64`
2980×	`+-lowering-+.f32`
1484×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	410	2925
1	1422	2717
2	4031	2644
0	8230	2644

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 408

Calls

Call 1

Inputs
(* 3/2 x)
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(* -1/2 y)
(* y (- (* 3/2 (/ x y)) 1/2))
(* y (- (* 3/2 (/ x y)) 1/2))
(* y (- (* 3/2 (/ x y)) 1/2))
(* -1/2 y)
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(* -1/2 y)
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(* 3/2 x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* 3/2 x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
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(- (* 3/2 (/ x y)) 1/2)
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(* 3/2 (/ x y))
(/ (+ (* -1/2 y) (* 3/2 x)) y)
(/ (+ (* -1/2 y) (* 3/2 x)) y)
(/ (+ (* -1/2 y) (* 3/2 x)) y)
-1/2
(- (* 3/2 (/ x y)) 1/2)
(- (* 3/2 (/ x y)) 1/2)
(- (* 3/2 (/ x y)) 1/2)
-1/2
(- (* 3/2 (/ x y)) 1/2)
(- (* 3/2 (/ x y)) 1/2)
(- (* 3/2 (/ x y)) 1/2)
(* 3/2 (/ x y))
(* 3/2 (/ x y))
(* 3/2 (/ x y))
(* 3/2 (/ x y))
(* 3/2 (/ x y))
(* 3/2 (/ x y))
(* 3/2 (/ x y))
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(* 3/2 (/ x y))
(* 3/2 (/ x y))
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(* 3/2 (/ x y))
(* 3/2 (/ x y))
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(* 3/2 (/ x y))
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(/ x y)
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(/ x y)
(/ x y)
(/ x y)
(/ x y)
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(* -1/2 y)
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
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(* x (+ 1/2 (* -1/2 (/ y x))))
(* x (+ 1/2 (* -1/2 (/ y x))))
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(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
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(* -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))))
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(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
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(+ x (+ (* -1/2 y) (* 1/2 x)))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(+ x (+ (* -1/2 y) (* 1/2 x)))
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(* 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))
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(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1 (pow y 2))
(- (pow x 2) (pow y 2))
(- (pow x 2) (pow y 2))
(- (pow x 2) (pow y 2))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(pow x 2)
(+ (* -1 (pow y 2)) (pow x 2))
(+ (* -1 (pow y 2)) (pow x 2))
(+ (* -1 (pow y 2)) (pow x 2))
(* -1 (pow y 2))
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(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(* -1 (pow y 2))
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(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
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(+ (* -1/2 y) (* 1/2 x))
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(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(/ -2 y)
(- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))
(- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))
(- (* x (- (* x (- (* -2 (/ x (pow y 4))) (* 2 (/ 1 (pow y 3))))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))
(/ 2 x)
(/ (+ 2 (* 2 (/ y x))) x)
(/ (+ 2 (+ (* 2 (/ y x)) (* 2 (/ (pow y 2) (pow x 2))))) x)
(/ (+ 2 (+ (* 2 (/ y x)) (+ (* 2 (/ (pow y 2) (pow x 2))) (* 2 (/ (pow y 3) (pow x 3)))))) x)
(/ 2 x)
(* -1 (/ (- (* -2 (/ y x)) 2) x))
(* -1 (/ (- (* -1 (/ (+ (* 2 y) (* 2 (/ (pow y 2) x))) x)) 2) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y)) x)) 2) x))
(/ 2 x)
(+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))
(+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))
(+ (* y (+ (* y (+ (* 2 (/ y (pow x 4))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))
(/ -2 y)
(/ (- (* -2 (/ x y)) 2) y)
(/ (- (+ (* -2 (/ x y)) (* -2 (/ (pow x 2) (pow y 2)))) 2) y)
(/ (- (+ (* -2 (/ x y)) (+ (* -2 (/ (pow x 2) (pow y 2))) (* -2 (/ (pow x 3) (pow y 3))))) 2) y)
(/ -2 y)
(* -1 (/ (+ 2 (* 2 (/ x y))) y))
(* -1 (/ (+ 2 (* -1 (/ (+ (* -2 x) (* -2 (/ (pow x 2) y))) y))) y))
(* -1 (/ (+ 2 (* -1 (/ (+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y))) y))) y))
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(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
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(/ -4 (* x y))
(/ -4 (* x y))
(/ -4 (* x y))
(/ -4 (* x y))
(/ -4 (* x y))
(/ -4 (* x y))
(/ -4 (* x y))
(/ -4 (* x y))
(/ -4 (* x y))
(/ -4 (* x y))
(/ -4 (* x y))
(/ -4 (* x y))
(/ -4 (* x y))
(/ -4 (* x y))
(/ -4 (* x y))
(/ -4 (* x y))
(/ -4 (* x y))
(/ -4 (* x y))
(/ -4 (* x y))
(/ -4 (* x y))
(/ -4 (* x y))
(/ -4 (* x y))
(/ -4 (* x y))
(/ -4 (* x y))
(* 3/2 x)
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(* 3/2 x)
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(* 3/2 x)
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(* 3/2 x)
(* 3/2 x)
(/ 1/2 y)
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(+ (* 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
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (.f64 #s(literal 3/2 binary64) x) (.f64 #s(literal -1/2 binary64) y))
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (.f64 #s(literal 3/2 binary64) x) (.f64 #s(literal -1/2 binary64) y))
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (.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))
(.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 3/2 binary64) (/.f64 x y))))
(* y (- (* 3/2 (/ x y)) 1/2))
(.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 3/2 binary64) (/.f64 x y))))
(* y (- (* 3/2 (/ x y)) 1/2))
(.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 3/2 binary64) (/.f64 x y))))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 3/2 binary64) (/.f64 x y))))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 3/2 binary64) (/.f64 x y))))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 3/2 binary64) (/.f64 x y))))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (.f64 #s(literal 3/2 binary64) x) (.f64 #s(literal -1/2 binary64) y))
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (.f64 #s(literal 3/2 binary64) x) (.f64 #s(literal -1/2 binary64) y))
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (.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))))
(.f64 x (+.f64 #s(literal 3/2 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) y) x)))
(* x (+ 3/2 (* -1/2 (/ y x))))
(.f64 x (+.f64 #s(literal 3/2 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) y) x)))
(* x (+ 3/2 (* -1/2 (/ y x))))
(.f64 x (+.f64 #s(literal 3/2 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) y) x)))
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(.f64 x (+.f64 #s(literal 3/2 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) y) x)))
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(.f64 x (+.f64 #s(literal 3/2 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) y) x)))
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(/ 2/3 x)
(/.f64 #s(literal 2/3 binary64) x)
(+ (* 2/9 (/ y (pow x 2))) (* 2/3 (/ 1 x)))
(+.f64 (/.f64 #s(literal 2/3 binary64) x) (/.f64 (/.f64 (*.f64 y #s(literal 2/9 binary64)) x) x))
(+ (* y (+ (* 2/27 (/ y (pow x 3))) (* 2/9 (/ 1 (pow x 2))))) (* 2/3 (/ 1 x)))
(+.f64 (/.f64 #s(literal 2/3 binary64) x) (.f64 y (+.f64 (/.f64 #s(literal 2/9 binary64) (.f64 x x)) (/.f64 (.f64 y #s(literal 2/27 binary64)) (.f64 x (*.f64 x x))))))
(+ (* y (+ (* y (+ (* 2/81 (/ y (pow x 4))) (* 2/27 (/ 1 (pow x 3))))) (* 2/9 (/ 1 (pow x 2))))) (* 2/3 (/ 1 x)))
(+.f64 (/.f64 #s(literal 2/3 binary64) x) (.f64 y (+.f64 (/.f64 #s(literal 2/9 binary64) (.f64 x x)) (.f64 y (+.f64 (/.f64 (.f64 y #s(literal 2/81 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 2/27 binary64) (.f64 x (.f64 x x))))))))
(/ -2 y)
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(/ (- (* -6 (/ x y)) 2) y)
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(/ (- (* -18 (/ (pow x 2) (pow y 2))) (+ 2 (* 6 (/ x y)))) y)
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 (.f64 (.f64 x x) #s(literal -18 binary64)) y) (*.f64 x #s(literal -6 binary64))) y)) y)
(/ (- (* -54 (/ (pow x 3) (pow y 3))) (+ 2 (+ (* 6 (/ x y)) (* 18 (/ (pow x 2) (pow y 2)))))) y)
(/.f64 (+.f64 #s(literal -2 binary64) (+.f64 (/.f64 (+.f64 (/.f64 (.f64 (.f64 x x) #s(literal -18 binary64)) y) (.f64 x #s(literal -6 binary64))) y) (.f64 (.f64 x (/.f64 (.f64 x x) y)) (/.f64 #s(literal -54 binary64) (*.f64 y y))))) y)
(/ -2 y)
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(* -1 (/ (+ 2 (* 6 (/ x y))) y))
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(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) y) x)) x)
(/ (- (+ 1/2 (* 1/2 (/ (pow y 2) (pow x 2)))) (* 1/2 (/ y x))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)))) 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)
(/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 y (.f64 y y))) (.f64 x (.f64 x x))) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)))) x))) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(* -1 (/ (- (* 1/2 (/ y x)) 1/2) x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) y) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 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 y (+.f64 (/.f64 y x) #s(literal -1 binary64)))) x)) (-.f64 #s(literal 0 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 (.f64 #s(literal -1/2 binary64) y) (.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 y (.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)))))) x)) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(+ (* -1/2 (/ y (pow x 2))) (* 1/2 (/ 1 x)))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 x x)))
(+ (* y (- (* 1/2 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (* 1/2 (/ 1 x)))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 y (.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (/.f64 y x) #s(literal -1 binary64)))))
(+ (* y (- (* y (+ (* -1/2 (/ y (pow x 4))) (* 1/2 (/ 1 (pow x 3))))) (* 1/2 (/ 1 (pow x 2))))) (* 1/2 (/ 1 x)))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 y (+.f64 (.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))))))
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ (+ 1/2 (* -1/2 (/ x y))) y)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) y)
(/ (- (+ 1/2 (* 1/2 (/ (pow x 2) (pow y 2)))) (* 1/2 (/ x y))) y)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64)))) 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)
(/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y))) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64)))) y))) y)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(* -1 (/ (- (* 1/2 (/ x y)) 1/2) y))
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) y)
(* -1 (/ (- (* -1 (/ (- (* 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 x (+.f64 (/.f64 x y) #s(literal -1 binary64)))) y)) (-.f64 #s(literal 0 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 (.f64 x #s(literal -1/2 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (.f64 x x) (-.f64 (/.f64 x y) #s(literal 1 binary64))))) y)) y)

eval164.0ms (2%)

Compiler: Compiled 18026 to 2159 computations (88% saved)

prune91.0ms (1.1%)

Pruning

15 alts after pruning (9 fresh and 6 done)

	Pruned	Kept	Total
New	982	7	989
Fresh	8	2	10
Picked	3	2	5
Done	0	4	4
Total	993	15	1008

Accuracy

100.0%

Counts

1008 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 x #s(literal 3/2 binary64) (/.f64 y #s(literal -2 binary64)))
▶	67.4%	(/.f64 (+.f64 (.f64 (.f64 (.f64 x #s(literal 3/2 binary64)) y) #s(literal -2 binary64)) (.f64 y y)) (*.f64 y #s(literal -2 binary64)))
	54.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2/3 binary64) x))
	77.0%	(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal -2 binary64) y)) (/.f64 #s(literal -4 binary64) (*.f64 y x))) x)
✓	99.8%	(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))
▶	44.7%	(+.f64 x (/.f64 (/.f64 #s(literal -2 binary64) y) (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal -2 binary64) y))))
✓	99.8%	(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
	51.5%	(+.f64 x (/.f64 (.f64 (/.f64 (.f64 y x) #s(literal -4 binary64)) (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) x))) (*.f64 y x)))
	30.3%	(+.f64 x (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 x y))))
▶	55.5%	(+.f64 x (*.f64 #s(literal -1/2 binary64) y))
✓	86.1%	(.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 3/2 binary64) (/.f64 x y))))
▶	86.1%	(.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 3/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) x))))
▶	40.5%	(.f64 y (.f64 #s(literal 3/2 binary64) (/.f64 x y)))
✓	54.1%	(*.f64 #s(literal 3/2 binary64) x)
✓	46.5%	(*.f64 #s(literal -1/2 binary64) y)

Compiler

Compiled 285 to 195 computations (31.6% saved)

simplify264.0ms (3.2%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (.f64 x #s(literal 3/2 binary64)) y)
✓	cost-diff	128	(.f64 (.f64 (*.f64 x #s(literal 3/2 binary64)) y) #s(literal -2 binary64))
✓	cost-diff	128	(+.f64 (.f64 (.f64 (.f64 x #s(literal 3/2 binary64)) y) #s(literal -2 binary64)) (.f64 y y))
✓	cost-diff	256	(/.f64 (+.f64 (.f64 (.f64 (.f64 x #s(literal 3/2 binary64)) y) #s(literal -2 binary64)) (.f64 y y)) (*.f64 y #s(literal -2 binary64)))
✓	cost-diff	0	(/.f64 #s(literal -2 binary64) y)
✓	cost-diff	128	(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal -2 binary64) y))
✓	cost-diff	128	(+.f64 x (/.f64 (/.f64 #s(literal -2 binary64) y) (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal -2 binary64) y))))
✓	cost-diff	384	(/.f64 (/.f64 #s(literal -2 binary64) y) (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal -2 binary64) y)))
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	0	(*.f64 #s(literal 3/2 binary64) (/.f64 x y))
✓	cost-diff	256	(.f64 y (.f64 #s(literal 3/2 binary64) (/.f64 x y)))
✓	cost-diff	0	(*.f64 #s(literal -1/2 binary64) y)
✓	cost-diff	0	(+.f64 x (*.f64 #s(literal -1/2 binary64) y))
✓	cost-diff	0	(.f64 #s(literal 3/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) y) x))
✓	cost-diff	0	(+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 3/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) y) x)))
✓	cost-diff	128	(*.f64 (/.f64 #s(literal 1 binary64) y) x)
✓	cost-diff	128	(.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 3/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) x))))

Rules

4636×	`-lowering-.f32`
4636×	`-lowering-.f64`
1834×	`/-lowering-/.f32`
1834×	`/-lowering-/.f64`
1218×	`neg-lowering-neg.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	29	151
1	75	138
2	172	126
3	420	108
4	741	106
5	2858	106
6	3588	106
7	5664	106
0	8267	106

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize546.0ms (6.6%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x #s(literal 3/2 binary64))
✓	accuracy	99.9%	(.f64 (.f64 x #s(literal 3/2 binary64)) y)
✓	accuracy	96.5%	(+.f64 (.f64 (.f64 (.f64 x #s(literal 3/2 binary64)) y) #s(literal -2 binary64)) (.f64 y y))
✓	accuracy	78.2%	(/.f64 (+.f64 (.f64 (.f64 (.f64 x #s(literal 3/2 binary64)) y) #s(literal -2 binary64)) (.f64 y y)) (*.f64 y #s(literal -2 binary64)))
✓	accuracy	100.0%	(/.f64 #s(literal -2 binary64) y)
✓	accuracy	100.0%	(+.f64 x (/.f64 (/.f64 #s(literal -2 binary64) y) (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal -2 binary64) y))))
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal -2 binary64) y))
✓	accuracy	85.5%	(/.f64 (/.f64 #s(literal -2 binary64) y) (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal -2 binary64) y)))
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	99.8%	(*.f64 #s(literal 3/2 binary64) (/.f64 x y))
✓	accuracy	83.3%	(.f64 y (.f64 #s(literal 3/2 binary64) (/.f64 x y)))
✓	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 #s(literal -1/2 binary64) (.f64 #s(literal 3/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) y) x)))
✓	accuracy	99.8%	(.f64 #s(literal 3/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) y) x))
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) y) x)
✓	accuracy	90.8%	(.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 3/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) x))))

Results

337.0ms	87×	5	exit
99.0ms	169×	0	valid

Compiler

Compiled 164 to 30 computations (81.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 182.0ms

backward-pass: 56.0ms (30.8% of total)

ival-mult: 56.0ms (30.8% of total)

ival-div: 53.0ms (29.2% of total)

ival-add: 14.0ms (7.7% of total)

const: 2.0ms (1.1% of total)

series18.0ms (0.2%)

Counts

18 → 396

Calls

Call 1

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

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

Calls

99 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	(/ (+ (* (* (* x 3/2) y) -2) (* y y)) (* y -2))
2.0ms	x	@	inf	(* (* x 3/2) y)
0.0ms	y	@	-inf	(/ (+ (* (* (* x 3/2) y) -2) (* y y)) (* y -2))
0.0ms	y	@	0	(/ (+ (* (* (* x 3/2) y) -2) (* y y)) (* y -2))
0.0ms	x	@	0	(/ (+ (* (* (* x 3/2) y) -2) (* y y)) (* y -2))

rewrite400.0ms (4.8%)

Algorithm

1×	batch-egg-rewrite

Rules

4324×	`-lowering-.f32`
4324×	`-lowering-.f64`
3926×	`/-lowering-/.f32`
3926×	`/-lowering-/.f64`
1584×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	108
1	166	103
2	1420	91
0	8956	91

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 746

Calls

Call 1

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

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

simplify197.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

2308×	`fnmadd-define`
1674×	`-lowering-.f32`
1674×	`-lowering-.f64`
1496×	`fmsub-define`
1410×	`fnmsub-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	78	1704
1	236	1665
2	663	1665
3	1793	1665
4	4692	1665
0	8142	1665

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 396

Calls

Call 1

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

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

eval144.0ms (1.7%)

Compiler: Compiled 17521 to 1903 computations (89.1% saved)

prune104.0ms (1.3%)

Pruning

17 alts after pruning (10 fresh and 7 done)

	Pruned	Kept	Total
New	1164	7	1171
Fresh	1	3	4
Picked	3	2	5
Done	1	5	6
Total	1169	17	1186

Accuracy

100.0%

Counts

1186 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	43.3%	(/.f64 (.f64 y (.f64 #s(literal 3/2 binary64) x)) y)
	41.4%	(/.f64 (*.f64 y #s(literal 3/2 binary64)) (/.f64 y x))
	54.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2/3 binary64) x))
✓	99.8%	(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))
	40.5%	(+.f64 x (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y)) (/.f64 #s(literal -2 binary64) y)))
✓	99.8%	(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
	51.5%	(+.f64 x (/.f64 (.f64 (/.f64 (.f64 y x) #s(literal -4 binary64)) (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) x))) (*.f64 y x)))
	30.3%	(+.f64 x (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 x y))))
✓	55.5%	(+.f64 x (*.f64 #s(literal -1/2 binary64) y))
	54.0%	(*.f64 (/.f64 y y) (/.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) x)))
	40.5%	(.f64 (/.f64 x y) (.f64 y #s(literal 3/2 binary64)))
	43.2%	(.f64 (/.f64 #s(literal 3/2 binary64) y) (.f64 y x))
✓	86.1%	(.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 3/2 binary64) (/.f64 x y))))
✓	40.5%	(.f64 y (.f64 #s(literal 3/2 binary64) (/.f64 x y)))
✓	54.1%	(*.f64 #s(literal 3/2 binary64) x)
✓	46.5%	(*.f64 #s(literal -1/2 binary64) y)
	12.3%	x

Compiler

Compiled 628 to 257 computations (59.1% saved)

regimes44.0ms (0.5%)

Counts

40 → 1

Calls

Call 1

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

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

Calls

3 calls:

15.0ms	(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
13.0ms	y
11.0ms	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)

regimes47.0ms (0.6%)

Counts

39 → 1

Calls

Call 1

Inputs
x
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 #s(literal 3/2 binary64) x)
(+.f64 x (*.f64 #s(literal -1/2 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2/3 binary64) x))
(.f64 y (.f64 #s(literal 3/2 binary64) (/.f64 x y)))
(.f64 (/.f64 #s(literal 3/2 binary64) y) (.f64 y x))
(.f64 (/.f64 x y) (.f64 y #s(literal 3/2 binary64)))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))
(/.f64 (*.f64 y #s(literal 3/2 binary64)) (/.f64 y x))
(/.f64 (.f64 y (.f64 #s(literal 3/2 binary64) x)) y)
(.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 3/2 binary64) (/.f64 x y))))
(*.f64 (/.f64 y y) (/.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 x y))))
(-.f64 (/.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 y #s(literal 2 binary64)) x))
(.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 3/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) x))))
(+.f64 x (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))
(+.f64 x (/.f64 (/.f64 #s(literal -2 binary64) y) (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal -2 binary64) y))))
(+.f64 x (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y)) (/.f64 #s(literal -2 binary64) y)))
(+.f64 x (.f64 (-.f64 (.f64 x x) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) (+.f64 x y))))
(+.f64 x (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal -2 binary64) y)) (/.f64 #s(literal -4 binary64) x)) y))
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal -2 binary64) y)) (/.f64 #s(literal -4 binary64) (*.f64 x y))) x)
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal -2 binary64) y)) (/.f64 #s(literal -4 binary64) (*.f64 y x))) x)
(/.f64 (+.f64 (.f64 (.f64 (.f64 x #s(literal 3/2 binary64)) y) #s(literal -2 binary64)) (.f64 y y)) (*.f64 y #s(literal -2 binary64)))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (.f64 (-.f64 (.f64 x x) (*.f64 y y)) #s(literal 1/2 binary64)))))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -4 binary64) (*.f64 x y)) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal -2 binary64) y)))))
(+.f64 x (/.f64 (.f64 (+.f64 x y) (.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 x y)))) #s(literal 2 binary64)))
(+.f64 x (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) y) (*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal -4 binary64) x) y)))
(+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (.f64 y y)))) (+.f64 x y)))
(+.f64 x (/.f64 (.f64 (/.f64 (.f64 y x) #s(literal -4 binary64)) (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) x))) (*.f64 y x)))
(+.f64 x (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) y) (.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal -2 binary64) y))))
(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 9/4 binary64)) (/.f64 (.f64 y y) #s(literal 4 binary64))) (+.f64 (.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64))))
(/.f64 (-.f64 (/.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 (.f64 x x) #s(literal 9/4 binary64))) (-.f64 (/.f64 y #s(literal -2 binary64)) (.f64 x #s(literal 3/2 binary64))))
(+.f64 x (/.f64 (/.f64 (+.f64 (.f64 #s(literal 2 binary64) y) (.f64 x #s(literal -2 binary64))) (.f64 x y)) (.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal -2 binary64) y))))
(/.f64 (-.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (*.f64 x x)) (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x))

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

Calls

3 calls:

21.0ms	x
13.0ms	y
11.0ms	(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes32.0ms (0.4%)

Counts

16 → 1

Calls

Call 1

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

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

Calls

3 calls:

20.0ms	y
5.0ms	(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
5.0ms	x

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes33.0ms (0.4%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

2 calls:

29.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
80.6%	3	`x`
76.4%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes2.0ms (0%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
79.1%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
46.5%	1	`y`
48.1%	2	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

2 calls:

2.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
12.3%	1	`y`
12.3%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch27.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	9903583212471992000.0	8.479884857632283e+19
10.0ms	-2.5013847284712796e-62	-2.335223482994574e-63

Results

17.0ms	176×	0	valid
2.0ms	13×	1	valid
1.0ms	3×	2	valid

Compiler

Compiled 182 to 142 computations (22% saved)

Precisions

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

ival-div: 2.0ms (38.6% of total)

ival-sub: 2.0ms (38.6% of total)

ival-add: 1.0ms (19.3% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch21.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	9903583212471992000.0	8.479884857632283e+19
10.0ms	-2.5013847284712796e-62	-2.335223482994574e-63

Results

10.0ms	183×	0	valid
1.0ms	6×	2	valid
0.0ms	3×	1	valid

Compiler

Compiled 158 to 130 computations (17.7% saved)

Precisions

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

ival-div: 2.0ms (40.2% of total)

ival-add: 1.0ms (20.1% of total)

ival-sub: 1.0ms (20.1% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch19.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	4.187184242012123e+89	6.979509016493544e+101

Results

10.0ms	144×	0	valid
1.0ms	7×	2	valid
1.0ms	5×	3	valid
0.0ms	4×	1	valid

Compiler

Compiled 114 to 90 computations (21.1% saved)

Precisions

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

ival-sub: 3.0ms (48.1% of total)

ival-div: 2.0ms (32% of total)

backward-pass: 1.0ms (16% of total)

ival-add: 1.0ms (16% of total)

const: 0.0ms (0% of total)

simplify35.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

272×	`unsub-neg_binary64`
166×	`neg-mul-1_binary64`
114×	`distribute-lft-neg-in_binary64`
98×	`distribute-neg-out_binary64`
88×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	63
1	49	63
2	63	63
3	81	63
4	118	63
5	162	63
6	229	63
7	360	63
8	499	63
9	552	63
10	584	63
11	621	63
12	652	63
13	678	63
14	708	63
15	715	63
16	729	63

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 x #s(literal 3/2 binary64) (/.f64 y #s(literal -2 binary64)))
(-.f64 (/.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 y #s(literal 2 binary64)) x))
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
(if (<=.f64 x #s(literal -60790846849591/14474011154664524427946373126085988481658748083205070504932198000989141204992 binary64)) (.f64 #s(literal 3/2 binary64) x) (if (<=.f64 x #s(literal 16500000000000000000 binary64)) (+.f64 x (.f64 #s(literal -1/2 binary64) y)) (*.f64 #s(literal 3/2 binary64) x)))
(if (<=.f64 x #s(literal -4168515212543383/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64)) (.f64 #s(literal 3/2 binary64) x) (if (<=.f64 x #s(literal 46000000000000000000 binary64)) (.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x)))
(if (<=.f64 x #s(literal 680000000000000034125992661345493122882077864230506014214012342552527291529334829002167381500765405184 binary64)) (*.f64 #s(literal -1/2 binary64) y) x)
x

Outputs
(fma.f64 x #s(literal 3/2 binary64) (/.f64 y #s(literal -2 binary64)))
(-.f64 (/.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 y #s(literal 2 binary64)) x))
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
(if (<=.f64 x #s(literal -60790846849591/14474011154664524427946373126085988481658748083205070504932198000989141204992 binary64)) (.f64 #s(literal 3/2 binary64) x) (if (<=.f64 x #s(literal 16500000000000000000 binary64)) (+.f64 x (.f64 #s(literal -1/2 binary64) y)) (*.f64 #s(literal 3/2 binary64) x)))
(if (<=.f64 x #s(literal -60790846849591/14474011154664524427946373126085988481658748083205070504932198000989141204992 binary64)) (.f64 x #s(literal 3/2 binary64)) (if (<=.f64 x #s(literal 16500000000000000000 binary64)) (+.f64 x (.f64 y #s(literal -1/2 binary64))) (*.f64 x #s(literal 3/2 binary64))))
(if (<=.f64 x #s(literal -4168515212543383/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64)) (.f64 #s(literal 3/2 binary64) x) (if (<=.f64 x #s(literal 46000000000000000000 binary64)) (.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x)))
(if (<=.f64 x #s(literal -4168515212543383/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64)) (.f64 x #s(literal 3/2 binary64)) (if (<=.f64 x #s(literal 46000000000000000000 binary64)) (.f64 y #s(literal -1/2 binary64)) (*.f64 x #s(literal 3/2 binary64))))
(if (<=.f64 x #s(literal 680000000000000034125992661345493122882077864230506014214012342552527291529334829002167381500765405184 binary64)) (*.f64 #s(literal -1/2 binary64) y) x)
(if (<=.f64 x #s(literal 680000000000000034125992661345493122882077864230506014214012342552527291529334829002167381500765405184 binary64)) (*.f64 y #s(literal -1/2 binary64)) x)
x

soundness1.3s (16%)

Rules

4726×	`-lowering-.f32`
4726×	`-lowering-.f64`
3668×	`/-lowering-/.f32`
3668×	`/-lowering-/.f64`
2308×	`fnmadd-define`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	66	513
1	210	513
2	629	513
3	1850	495
4	5615	495
0	8183	495
0	11	28
1	70	26
2	667	26
0	8622	26
0	6	7
1	12	7
2	23	7
3	46	7
4	92	7
5	227	7
6	654	7
7	1200	6
8	2087	6
9	2656	6
10	2806	6
0	2806	6
0	78	1704
1	236	1665
2	663	1665
3	1793	1665
4	4692	1665
0	8142	1665

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	saturated
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 144 to 88 computations (38.9% saved)

preprocess58.0ms (0.7%)

Compiler: Compiled 174 to 92 computations (47.1% saved)

Iter	Nodes	Cost
0	33	63
1	49	63
2	63	63
3	81	63
4	118	63
5	162	63
6	229	63
7	360	63
8	499	63
9	552	63
10	584	63
11	621	63
12	652	63
13	678	63
14	708	63
15	715	63
16	729	63

Iter	Nodes	Cost
0	33	63
1	49	63
2	63	63
3	81	63
4	118	63
5	162	63
6	229	63
7	360	63
8	499	63
9	552	63
10	584	63
11	621	63
12	652	63
13	678	63
14	708	63
15	715	63
16	729	63

analyze0.0ms (0%)

sample829.0ms (10%)

preprocess174.0ms (2.1%)

explain92.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify66.0ms (0.8%)

localize63.0ms (0.8%)

series6.0ms (0.1%)

rewrite338.0ms (4.1%)

simplify180.0ms (2.2%)

eval81.0ms (1%)

prune71.0ms (0.9%)

simplify188.0ms (2.3%)

localize265.0ms (3.2%)

series38.0ms (0.5%)

rewrite388.0ms (4.7%)

simplify327.0ms (3.9%)

eval169.0ms (2%)

prune146.0ms (1.8%)

simplify209.0ms (2.5%)

localize250.0ms (3%)

series19.0ms (0.2%)

rewrite432.0ms (5.2%)

simplify376.0ms (4.5%)

eval164.0ms (2%)

prune91.0ms (1.1%)

simplify264.0ms (3.2%)

localize546.0ms (6.6%)

series18.0ms (0.2%)

rewrite400.0ms (4.8%)

simplify197.0ms (2.4%)

eval144.0ms (1.7%)

prune104.0ms (1.3%)

regimes44.0ms (0.5%)

regimes47.0ms (0.6%)

regimes32.0ms (0.4%)

regimes33.0ms (0.4%)

regimes2.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

bsearch27.0ms (0.3%)

bsearch21.0ms (0.3%)

bsearch19.0ms (0.2%)

simplify35.0ms (0.4%)

soundness1.3s (16%)

preprocess58.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	33	63
1	49	63
2	63	63
3	81	63
4	118	63
5	162	63
6	229	63
7	360	63
8	499	63
9	552	63
10	584	63
11	621	63
12	652	63
13	678	63
14	708	63
15	715	63
16	729	63