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)

sample720.0ms (9%)

Results

421.0ms	7645×	0	valid
27.0ms	131×	3	valid
26.0ms	184×	2	valid
26.0ms	296×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 219.0ms

ival-div: 78.0ms (35.6% of total)

ival-sub: 65.0ms (29.7% of total)

ival-add: 52.0ms (23.7% of total)

backward-pass: 13.0ms (5.9% of total)

const: 11.0ms (5% of total)

Bogosity

preprocess165.0ms (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))

explain72.0ms (0.9%)

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

29.0ms	468×	0	valid
3.0ms	14×	3	valid
3.0ms	18×	2	valid
1.0ms	12×	1	valid

Compiler

Compiled 51 to 20 computations (60.8% saved)

Precisions

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

ival-div: 4.0ms (29.6% of total)

ival-sub: 4.0ms (29.6% of total)

ival-add: 3.0ms (22.2% of total)

const: 1.0ms (7.4% of total)

backward-pass: 1.0ms (7.4% 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
▶	99.9%	(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))
▶	99.9%	(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))

Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify77.0ms (1%)

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)

localize75.0ms (0.9%)

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

Results

49.0ms	234×	0	valid
3.0ms	7×	3	valid
3.0ms	9×	2	valid
1.0ms	6×	1	valid

Compiler

Compiled 38 to 12 computations (68.4% saved)

Precisions

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

ival-div: 4.0ms (30% of total)

ival-add: 3.0ms (22.5% of total)

ival-mult: 2.0ms (15% of total)

ival-sub: 2.0ms (15% of total)

const: 1.0ms (7.5% of total)

backward-pass: 1.0ms (7.5% of total)

series8.0ms (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
2.0ms	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))

rewrite343.0ms (4.3%)

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))

simplify135.0ms (1.7%)

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)

eval75.0ms (0.9%)

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

prune86.0ms (1.1%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	448	9	457
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	448	11	459

Accuracy

100.0%

Counts

459 → 11

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)))
▶	57.8%	(/.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))))
▶	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))))
✓	99.9%	(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))
✓	99.9%	(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
	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)))
	99.7%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 x y))))
▶	60.3%	(+.f64 x (*.f64 #s(literal -1/2 binary64) y))
	57.7%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (.f64 x #s(literal -3/2 binary64)))) (+.f64 (/.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 (*.f64 x x) #s(literal -9/4 binary64))))
	48.7%	(*.f64 #s(literal 3/2 binary64) x)
▶	52.2%	(*.f64 #s(literal -1/2 binary64) y)

Compiler

Compiled 242 to 173 computations (28.5% saved)

simplify183.0ms (2.3%)

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) #s(literal 9/4 binary64))
✓	cost-diff	0	(-.f64 (.f64 (.f64 x x) #s(literal 9/4 binary64)) (/.f64 (*.f64 y y) #s(literal 4 binary64)))
✓	cost-diff	0	(/.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))))
✓	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)))))
✓	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 -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

1720×	`fmsub-define`
1478×	`fma-lowering-fma.f32`
1478×	`fma-lowering-fma.f64`
1474×	`fma-define`
1374×	`sum3-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	112
1	51	111
2	100	111
3	183	111
4	339	111
5	775	111
6	1865	111
7	3229	111
8	5889	111
0	8027	111

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 y))
x
(* -1/2 y)
-1/2
y
(/ 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
(/ (- (* (* x x) 9/4) (/ (* y y) 4)) (+ (* x 3/2) (/ y 2)))
(- (* (* x x) 9/4) (/ (* y y) 4))
(* (* x x) 9/4)
(* x x)
x
9/4
(/ (* y y) 4)
(* y y)
y
4
(+ (* x 3/2) (/ y 2))
(* x 3/2)
3/2
(/ y 2)
2

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

localize143.0ms (1.8%)

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 9/4 binary64))
✓	accuracy	96.8%	(-.f64 (.f64 (.f64 x x) #s(literal 9/4 binary64)) (/.f64 (*.f64 y y) #s(literal 4 binary64)))
✓	accuracy	58.5%	(/.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))))
✓	accuracy	100.0%	(*.f64 x #s(literal 3/2 binary64))
✓	accuracy	99.9%	(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))
✓	accuracy	99.8%	(/.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)))))
✓	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) 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

55.0ms	215×	0	valid
23.0ms	17×	1	valid
11.0ms	11×	3	valid
8.0ms	11×	2	valid
7.0ms	2×	5	exit

Compiler

Compiled 135 to 26 computations (80.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-div: 15.0ms (24.3% of total)

backward-pass: 14.0ms (22.7% of total)

ival-mult: 13.0ms (21.1% of total)

ival-add: 11.0ms (17.8% of total)

compiled-spec: 5.0ms (8.1% of total)

ival-sub: 2.0ms (3.2% of total)

const: 1.0ms (1.6% of total)

series13.0ms (0.2%)

Counts

13 → 252

Calls

Call 1

Inputs
#<alt (+ (* x 3/2) (/ y -2))>
#<alt (/ y -2)>
#<alt (* -1/2 y)>
#<alt (+ x (* -1/2 y))>
#<alt (/ 1 (/ 1 (+ (/ y -2) (* x 3/2))))>
#<alt (/ 1 (+ (/ y -2) (* x 3/2)))>
#<alt (+ (/ y -2) (* x 3/2))>
#<alt (/ (- (* (* x x) 9/4) (/ (* y y) 4)) (+ (* x 3/2) (/ y 2)))>
#<alt (- (* (* x x) 9/4) (/ (* y y) 4))>
#<alt (* (* x x) 9/4)>
#<alt (* x x)>
#<alt (* x 3/2)>
#<alt (+ (* x 3/2) (/ y 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 (* 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 (+ 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 (* 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) (* 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 (* -1/4 (pow y 2))>
#<alt (- (* 9/4 (pow x 2)) (* 1/4 (pow y 2)))>
#<alt (- (* 9/4 (pow x 2)) (* 1/4 (pow y 2)))>
#<alt (- (* 9/4 (pow x 2)) (* 1/4 (pow y 2)))>
#<alt (* 9/4 (pow x 2))>
#<alt (* (pow x 2) (+ 9/4 (* -1/4 (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 9/4 (* -1/4 (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 9/4 (* -1/4 (/ (pow y 2) (pow x 2)))))>
#<alt (* 9/4 (pow x 2))>
#<alt (* (pow x 2) (+ 9/4 (* -1/4 (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 9/4 (* -1/4 (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 9/4 (* -1/4 (/ (pow y 2) (pow x 2)))))>
#<alt (* 9/4 (pow x 2))>
#<alt (+ (* -1/4 (pow y 2)) (* 9/4 (pow x 2)))>
#<alt (+ (* -1/4 (pow y 2)) (* 9/4 (pow x 2)))>
#<alt (+ (* -1/4 (pow y 2)) (* 9/4 (pow x 2)))>
#<alt (* -1/4 (pow y 2))>
#<alt (* (pow y 2) (- (* 9/4 (/ (pow x 2) (pow y 2))) 1/4))>
#<alt (* (pow y 2) (- (* 9/4 (/ (pow x 2) (pow y 2))) 1/4))>
#<alt (* (pow y 2) (- (* 9/4 (/ (pow x 2) (pow y 2))) 1/4))>
#<alt (* -1/4 (pow y 2))>
#<alt (* (pow y 2) (- (* 9/4 (/ (pow x 2) (pow y 2))) 1/4))>
#<alt (* (pow y 2) (- (* 9/4 (/ (pow x 2) (pow y 2))) 1/4))>
#<alt (* (pow y 2) (- (* 9/4 (/ (pow x 2) (pow y 2))) 1/4))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (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 (pow x 2)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 1/2 y)>
#<alt (+ (* 1/2 y) (* 3/2 x))>
#<alt (+ (* 1/2 y) (* 3/2 x))>
#<alt (+ (* 1/2 y) (* 3/2 x))>
#<alt (* 3/2 x)>
#<alt (* x (+ 3/2 (* 1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* 1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* 1/2 (/ y x))))>
#<alt (* 3/2 x)>
#<alt (* -1 (* x (- (* -1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* -1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* -1/2 (/ y x)) 3/2)))>
#<alt (* 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 (+ 1/2 (* 3/2 (/ x y))))>
#<alt (* y (+ 1/2 (* 3/2 (/ x y))))>
#<alt (* y (+ 1/2 (* 3/2 (/ x y))))>
#<alt (* 1/2 y)>
#<alt (* -1 (* y (- (* -3/2 (/ x y)) 1/2)))>
#<alt (* -1 (* y (- (* -3/2 (/ x y)) 1/2)))>
#<alt (* -1 (* y (- (* -3/2 (/ x y)) 1/2)))>

Calls

63 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(/ (- (* (* x x) 9/4) (/ (* y y) 4)) (+ (* x 3/2) (/ y 2)))
1.0ms	y	@	0	(/ (- (* (* x x) 9/4) (/ (* y y) 4)) (+ (* x 3/2) (/ y 2)))
0.0ms	x	@	inf	(/ (- (* (* x x) 9/4) (/ (* y y) 4)) (+ (* x 3/2) (/ y 2)))
0.0ms	y	@	inf	(/ (- (* (* x x) 9/4) (/ (* y y) 4)) (+ (* x 3/2) (/ y 2)))
0.0ms	x	@	0	(/ 1 (+ (/ y -2) (* x 3/2)))

rewrite394.0ms (4.9%)

Algorithm

1×	batch-egg-rewrite

Rules

3828×	`/-lowering-/.f32`
3828×	`/-lowering-/.f64`
3080×	`-lowering-.f32`
3080×	`-lowering-.f64`
1732×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	65
1	157	64
2	1452	64
0	8434	64

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 830

Calls

Call 1

Inputs
(+ (* x 3/2) (/ y -2))
(/ y -2)
(* -1/2 y)
(+ x (* -1/2 y))
(/ 1 (/ 1 (+ (/ y -2) (* x 3/2))))
(/ 1 (+ (/ y -2) (* x 3/2)))
(+ (/ y -2) (* x 3/2))
(/ (- (* (* x x) 9/4) (/ (* y y) 4)) (+ (* x 3/2) (/ y 2)))
(- (* (* x x) 9/4) (/ (* y y) 4))
(* (* x x) 9/4)
(* x x)
(* x 3/2)
(+ (* x 3/2) (/ y 2))

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

simplify323.0ms (4%)

Algorithm

1×	egg-herbie

Rules

4402×	`-lowering-.f32`
4402×	`-lowering-.f64`
1454×	`/-lowering-/.f32`
1454×	`/-lowering-/.f64`
1068×	`--lowering--.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	211	1511
1	664	1388
2	1827	1360
3	5568	1354
0	8445	1354

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

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

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

eval234.0ms (2.9%)

Compiler: Compiled 29238 to 1424 computations (95.1% saved)

prune123.0ms (1.5%)

Pruning

12 alts after pruning (7 fresh and 5 done)

	Pruned	Kept	Total
New	1153	3	1156
Fresh	0	4	4
Picked	2	3	5
Done	0	2	2
Total	1155	12	1167

Accuracy

100.0%

Counts

1167 → 12

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)))
	27.5%	(/.f64 (.f64 (.f64 x x) #s(literal 9/4 binary64)) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64))))
▶	48.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2/3 binary64) x))
✓	99.9%	(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))
✓	99.9%	(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
▶	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)))
▶	99.7%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 x y))))
✓	60.3%	(+.f64 x (*.f64 #s(literal -1/2 binary64) y))
	57.7%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (.f64 x #s(literal -3/2 binary64)))) (+.f64 (/.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 (*.f64 x x) #s(literal -9/4 binary64))))
▶	48.7%	(*.f64 #s(literal 3/2 binary64) x)
✓	52.2%	(*.f64 #s(literal -1/2 binary64) y)
▶	11.4%	x

Compiler

Compiled 204 to 146 computations (28.4% saved)

simplify239.0ms (3%)

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 x y)
✓	cost-diff	0	(/.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	128	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 x y))))
✓	cost-diff	0	(/.f64 #s(literal 2/3 binary64) x)
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2/3 binary64) x))
✓	cost-diff	0	(*.f64 #s(literal 3/2 binary64) x)
✓	cost-diff	128	(*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
✓	cost-diff	640	(.f64 (+.f64 x y) (.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 x y))))
✓	cost-diff	640	(/.f64 (.f64 (+.f64 x y) (.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 x y)))) #s(literal 2 binary64))
✓	cost-diff	640	(+.f64 x (/.f64 (.f64 (+.f64 x y) (.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 x y)))) #s(literal 2 binary64)))

Rules

1932×	`sum5-define`
1852×	`-lowering-.f32`
1852×	`-lowering-.f64`
1640×	`sum3-define`
1434×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	139
1	42	129
2	99	73
3	356	73
4	1710	73
5	5532	73
0	8104	73

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize282.0ms (3.5%)

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 x y)
✓	accuracy	100.0%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 x y))))
✓	accuracy	100.0%	(/.f64 #s(literal 2 binary64) (-.f64 x y))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 x y)))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2/3 binary64) x))
✓	accuracy	99.6%	(/.f64 #s(literal 2/3 binary64) x)
✓	accuracy	100.0%	(*.f64 #s(literal 3/2 binary64) x)
✓	accuracy	100.0%	(+.f64 x (/.f64 (.f64 (+.f64 x y) (.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 x y)))) #s(literal 2 binary64)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 x y))
✓	accuracy	100.0%	(.f64 (+.f64 x y) (.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 x y))))
✓	accuracy	99.8%	(*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 x y)))

Results

187.0ms	94×	5	exit
58.0ms	162×	0	valid

Compiler

Compiled 117 to 20 computations (82.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 154.0ms

ival-div: 57.0ms (37% of total)

...c/correct-round.rkt:119:19: 34.0ms (22.1% of total)

ival-mult: 25.0ms (16.2% of total)

backward-pass: 17.0ms (11% of total)

ival-add: 11.0ms (7.1% of total)

ival-sub: 8.0ms (5.2% of total)

const: 1.0ms (0.6% of total)

series20.0ms (0.3%)

Counts

12 → 252

Calls

Call 1

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

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

Calls

63 calls:

Time	Variable		Point	Expression
9.0ms	x	@	0	(/ 2/3 x)
2.0ms	x	@	inf	(/ 1 (+ x y))
1.0ms	y	@	inf	(/ 1 (+ x y))
0.0ms	x	@	0	(* (- x y) (/ 1 (+ x y)))
0.0ms	x	@	-inf	(* (- x y) (/ 1 (+ x y)))

rewrite348.0ms (4.4%)

Algorithm

1×	batch-egg-rewrite

Rules

4328×	`-lowering-.f32`
4328×	`-lowering-.f64`
3290×	`/-lowering-/.f32`
3290×	`/-lowering-/.f64`
2170×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	103
1	121	53
2	1136	53
0	8760	53

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 960

Calls

Call 1

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

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

simplify265.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

2924×	`-lowering-.f32`
2924×	`-lowering-.f64`
2072×	`+-lowering-+.f64`
2072×	`+-lowering-+.f32`
1268×	`--lowering--.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	356	1957
1	1246	1759
2	3808	1687
0	8405	1687

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

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

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

eval238.0ms (3%)

Compiler: Compiled 34335 to 3911 computations (88.6% saved)

prune168.0ms (2.1%)

Pruning

13 alts after pruning (5 fresh and 8 done)

	Pruned	Kept	Total
New	1395	4	1399
Fresh	1	1	2
Picked	2	3	5
Done	0	5	5
Total	1398	13	1411

Accuracy

100.0%

Counts

1411 → 13

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)))
▶	27.5%	(/.f64 (.f64 (.f64 x x) #s(literal 9/4 binary64)) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64))))
▶	48.6%	(/.f64 x #s(literal 2/3 binary64))
▶	48.6%	(/.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) x))
✓	48.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2/3 binary64) x))
✓	99.9%	(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))
✓	99.9%	(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
▶	48.9%	(+.f64 x (/.f64 (.f64 (+.f64 x y) (.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
✓	60.3%	(+.f64 x (*.f64 #s(literal -1/2 binary64) y))
▶	87.4%	(.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 3/2 binary64) (/.f64 x y))))
✓	48.7%	(*.f64 #s(literal 3/2 binary64) x)
✓	52.2%	(*.f64 #s(literal -1/2 binary64) y)
✓	11.4%	x

Compiler

Compiled 163 to 120 computations (26.4% saved)

simplify247.0ms (3.1%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	128	(.f64 (+.f64 x y) (.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) x)))
✓	cost-diff	128	(/.f64 (.f64 (+.f64 x y) (.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
✓	cost-diff	128	(+.f64 x (/.f64 (.f64 (+.f64 x y) (.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
✓	cost-diff	0	(+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) #s(literal 9/4 binary64))
✓	cost-diff	0	(/.f64 (.f64 (.f64 x x) #s(literal 9/4 binary64)) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	128	(/.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(/.f64 x #s(literal 2/3 binary64))
✓	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))))

Rules

2886×	`-lowering-.f32`
2886×	`-lowering-.f64`
1728×	`fma-lowering-fma.f32`
1728×	`fma-lowering-fma.f64`
1710×	`+-lowering-+.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	27	129
1	63	122
2	146	122
3	411	120
4	1512	118
5	7402	118
0	8730	118

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* 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 2/3)
x
2/3
(/ 3/2 (/ 1 x))
3/2
(/ 1 x)
1
x
(/ (* (* x x) 9/4) (+ (* x 3/2) (/ y 2)))
(* (* x x) 9/4)
(* x x)
x
9/4
(+ (* x 3/2) (/ y 2))
(* x 3/2)
3/2
(/ y 2)
y
2
(+ x (/ (* (+ x y) (* (- x y) (/ 1 x))) 2))
x
(/ (* (+ x y) (* (- x y) (/ 1 x))) 2)
(* (+ x y) (* (- x y) (/ 1 x)))
(+ x y)
y
(* (- x y) (/ 1 x))
(- x y)
(/ 1 x)
1
2

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

localize283.0ms (3.5%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x (/.f64 (.f64 (+.f64 x y) (.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	99.9%	(.f64 (+.f64 x y) (.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) x)))
✓	accuracy	99.8%	(*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(*.f64 x #s(literal 3/2 binary64))
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal 9/4 binary64))
✓	accuracy	83.3%	(/.f64 (.f64 (.f64 x x) #s(literal 9/4 binary64)) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64))))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	99.9%	(/.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) x))
✓	accuracy	99.8%	(/.f64 x #s(literal 2/3 binary64))
✓	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	92.6%	(.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 3/2 binary64) (/.f64 x y))))

Results

183.0ms	94×	5	exit
48.0ms	162×	0	valid

Compiler

Compiled 145 to 28 computations (80.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 145.0ms

ival-div: 41.0ms (28.3% of total)

ival-mult: 37.0ms (25.6% of total)

backward-pass: 25.0ms (17.3% of total)

...c/correct-round.rkt:119:19: 22.0ms (15.2% of total)

ival-add: 15.0ms (10.4% of total)

ival-sub: 3.0ms (2.1% of total)

const: 2.0ms (1.4% of total)

series19.0ms (0.2%)

Counts

17 → 336

Calls

Call 1

Inputs
#<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 2/3)>
#<alt (/ 3/2 (/ 1 x))>
#<alt (/ 1 x)>
#<alt (/ (* (* x x) 9/4) (+ (* x 3/2) (/ y 2)))>
#<alt (* (* x x) 9/4)>
#<alt (* x x)>
#<alt (+ (* x 3/2) (/ y 2))>
#<alt (+ x (/ (* (+ x y) (* (- x y) (/ 1 x))) 2))>
#<alt (/ (* (+ x y) (* (- x y) (/ 1 x))) 2)>
#<alt (* (+ x y) (* (- x y) (/ 1 x)))>
#<alt (* (- x y) (/ 1 x))>
#<alt (* x 3/2)>
#<alt (+ 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 -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 (* 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 (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (* 9/2 (/ (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -27/2 (/ x (pow y 2))) (* 9/2 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* x (- (* 81/2 (/ x (pow y 3))) (* 27/2 (/ 1 (pow y 2))))) (* 9/2 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* x (- (* x (+ (* -243/2 (/ x (pow y 4))) (* 81/2 (/ 1 (pow y 3))))) (* 27/2 (/ 1 (pow y 2))))) (* 9/2 (/ 1 y))))>
#<alt (* 3/2 x)>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (- (+ 3/2 (* 1/6 (/ (pow y 2) (pow x 2)))) (* 1/2 (/ y x))))>
#<alt (* x (- (+ 3/2 (* -1/18 (/ (pow y 3) (pow x 3)))) (+ (* -1/6 (/ (pow y 2) (pow x 2))) (* 1/2 (/ y x)))))>
#<alt (* 3/2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* 1/6 (/ (pow y 2) x)) (* 1/2 y)) x)) 3/2)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/18 (/ (pow y 3) x)) (* 1/6 (pow y 2))) x)) (* 1/2 y)) x)) 3/2)))>
#<alt (* 3/2 x)>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* 3/2 x) (* y (- (* 1/6 (/ y x)) 1/2)))>
#<alt (+ (* 3/2 x) (* y (- (* y (+ (* -1/18 (/ y (pow x 2))) (* 1/6 (/ 1 x)))) 1/2)))>
#<alt (* 9/2 (/ (pow x 2) y))>
#<alt (/ (+ (* -27/2 (/ (pow x 3) y)) (* 9/2 (pow x 2))) y)>
#<alt (/ (+ (* -27/2 (/ (pow x 3) y)) (+ (* 9/2 (pow x 2)) (* 81/2 (/ (pow x 4) (pow y 2))))) y)>
#<alt (/ (+ (* -243/2 (/ (pow x 5) (pow y 3))) (+ (* -27/2 (/ (pow x 3) y)) (+ (* 9/2 (pow x 2)) (* 81/2 (/ (pow x 4) (pow y 2)))))) y)>
#<alt (* 9/2 (/ (pow x 2) y))>
#<alt (* -1 (/ (+ (* -9/2 (pow x 2)) (* 27/2 (/ (pow x 3) y))) y))>
#<alt (* -1 (/ (+ (* -9/2 (pow x 2)) (* -1 (/ (+ (* -27/2 (pow x 3)) (* 81/2 (/ (pow x 4) y))) y))) y))>
#<alt (* -1 (/ (+ (* -9/2 (pow x 2)) (* -1 (/ (+ (* -27/2 (pow x 3)) (* -1 (/ (+ (* -81/2 (pow x 4)) (* 243/2 (/ (pow x 5) y))) y))) y))) y))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (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 (pow x 2)>
#<alt (* 1/2 y)>
#<alt (+ (* 1/2 y) (* 3/2 x))>
#<alt (+ (* 1/2 y) (* 3/2 x))>
#<alt (+ (* 1/2 y) (* 3/2 x))>
#<alt (* 3/2 x)>
#<alt (* x (+ 3/2 (* 1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* 1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* 1/2 (/ y x))))>
#<alt (* 3/2 x)>
#<alt (* -1 (* x (- (* -1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* -1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* -1/2 (/ y x)) 3/2)))>
#<alt (* 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 (+ 1/2 (* 3/2 (/ x y))))>
#<alt (* y (+ 1/2 (* 3/2 (/ x y))))>
#<alt (* y (+ 1/2 (* 3/2 (/ x y))))>
#<alt (* 1/2 y)>
#<alt (* -1 (* y (- (* -3/2 (/ x y)) 1/2)))>
#<alt (* -1 (* y (- (* -3/2 (/ x y)) 1/2)))>
#<alt (* -1 (* y (- (* -3/2 (/ x y)) 1/2)))>
#<alt (* -1/2 (/ (pow y 2) x))>
#<alt (/ (+ (* -1/2 (pow y 2)) (* 1/2 (* x (+ y (* -1 y))))) x)>
#<alt (/ (+ (* -1/2 (pow y 2)) (* x (+ (* 1/2 (+ y (* -1 y))) (* 3/2 x)))) x)>
#<alt (/ (+ (* -1/2 (pow y 2)) (* x (+ (* 1/2 (+ y (* -1 y))) (* 3/2 x)))) x)>
#<alt (* 3/2 x)>
#<alt (* x (+ 3/2 (* 1/2 (/ (+ y (* -1 y)) x))))>
#<alt (* x (+ 3/2 (+ (* -1/2 (/ (pow y 2) (pow x 2))) (* 1/2 (/ (+ y (* -1 y)) x)))))>
#<alt (* x (+ 3/2 (+ (* -1/2 (/ (pow y 2) (pow x 2))) (* 1/2 (/ (+ y (* -1 y)) x)))))>
#<alt (* 3/2 x)>
#<alt (* -1 (* x (- (* -1/2 (/ (+ y (* -1 y)) x)) 3/2)))>
#<alt (* -1 (* x (- (* -1 (/ (+ (* -1/2 (/ (pow y 2) x)) (* 1/2 (+ y (* -1 y)))) x)) 3/2)))>
#<alt (* -1 (* x (- (* -1 (/ (+ (* -1/2 (/ (pow y 2) x)) (* 1/2 (+ y (* -1 y)))) x)) 3/2)))>
#<alt (+ x (* 1/2 x))>
#<alt (+ x (+ (* -1/2 (/ (pow y 2) x)) (* 1/2 x)))>
#<alt (+ x (+ (* -1/2 (/ (pow y 2) x)) (* 1/2 x)))>
#<alt (+ x (+ (* -1/2 (/ (pow y 2) x)) (* 1/2 x)))>
#<alt (* -1/2 (/ (pow y 2) x))>
#<alt (* (pow y 2) (- (+ (* 1/2 (/ x (pow y 2))) (/ x (pow y 2))) (* 1/2 (/ 1 x))))>
#<alt (* (pow y 2) (- (+ (* 1/2 (/ x (pow y 2))) (/ x (pow y 2))) (* 1/2 (/ 1 x))))>
#<alt (* (pow y 2) (- (+ (* 1/2 (/ x (pow y 2))) (/ x (pow y 2))) (* 1/2 (/ 1 x))))>
#<alt (* -1/2 (/ (pow y 2) x))>
#<alt (* (pow y 2) (- (+ (* 1/2 (/ x (pow y 2))) (/ x (pow y 2))) (* 1/2 (/ 1 x))))>
#<alt (* (pow y 2) (- (+ (* 1/2 (/ x (pow y 2))) (/ x (pow y 2))) (* 1/2 (/ 1 x))))>
#<alt (* (pow y 2) (- (+ (* 1/2 (/ x (pow y 2))) (/ x (pow y 2))) (* 1/2 (/ 1 x))))>
#<alt (* -1/2 (/ (pow y 2) x))>
#<alt (/ (+ (* -1/2 (pow y 2)) (* 1/2 (* x (+ y (* -1 y))))) x)>
#<alt (/ (+ (* -1/2 (pow y 2)) (* x (+ (* 1/2 x) (* 1/2 (+ y (* -1 y)))))) x)>
#<alt (/ (+ (* -1/2 (pow y 2)) (* x (+ (* 1/2 x) (* 1/2 (+ y (* -1 y)))))) x)>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/2 (/ (+ y (* -1 y)) x))))>
#<alt (* x (+ 1/2 (+ (* -1/2 (/ (pow y 2) (pow x 2))) (* 1/2 (/ (+ y (* -1 y)) x)))))>
#<alt (* x (+ 1/2 (+ (* -1/2 (/ (pow y 2) (pow x 2))) (* 1/2 (/ (+ y (* -1 y)) x)))))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (* -1/2 (/ (+ y (* -1 y)) x)) 1/2)))>
#<alt (* -1 (* x (- (* -1 (/ (+ (* -1/2 (/ (pow y 2) x)) (* 1/2 (+ y (* -1 y)))) x)) 1/2)))>
#<alt (* -1 (* x (- (* -1 (/ (+ (* -1/2 (/ (pow y 2) x)) (* 1/2 (+ y (* -1 y)))) x)) 1/2)))>
#<alt (* 1/2 x)>
#<alt (+ (* -1/2 (/ (pow y 2) x)) (* 1/2 x))>
#<alt (+ (* -1/2 (/ (pow y 2) x)) (* 1/2 x))>
#<alt (+ (* -1/2 (/ (pow y 2) x)) (* 1/2 x))>
#<alt (* -1/2 (/ (pow y 2) x))>
#<alt (* (pow y 2) (- (* 1/2 (/ x (pow y 2))) (* 1/2 (/ 1 x))))>
#<alt (* (pow y 2) (- (* 1/2 (/ x (pow y 2))) (* 1/2 (/ 1 x))))>
#<alt (* (pow y 2) (- (* 1/2 (/ x (pow y 2))) (* 1/2 (/ 1 x))))>
#<alt (* -1/2 (/ (pow y 2) x))>
#<alt (* (pow y 2) (- (* 1/2 (/ x (pow y 2))) (* 1/2 (/ 1 x))))>
#<alt (* (pow y 2) (- (* 1/2 (/ x (pow y 2))) (* 1/2 (/ 1 x))))>
#<alt (* (pow y 2) (- (* 1/2 (/ x (pow y 2))) (* 1/2 (/ 1 x))))>
#<alt (* -1 (/ (pow y 2) x))>
#<alt (/ (+ (* -1 (pow y 2)) (* x (+ y (* -1 y)))) x)>
#<alt (/ (+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y))))) x)>
#<alt (/ (+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y))))) x)>
#<alt x>
#<alt (* x (+ 1 (+ (* -1 (/ y x)) (/ y x))))>
#<alt (* x (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))>
#<alt (* x (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (+ y (* -1 y)) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (pow y 2) x)))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (pow y 2) x)))) x)) 1)))>
#<alt x>
#<alt (+ x (* -1 (/ (pow y 2) x)))>
#<alt (+ x (* -1 (/ (pow y 2) x)))>
#<alt (+ x (* -1 (/ (pow y 2) x)))>
#<alt (* -1 (/ (pow y 2) x))>
#<alt (* (pow y 2) (- (/ x (pow y 2)) (/ 1 x)))>
#<alt (* (pow y 2) (- (/ x (pow y 2)) (/ 1 x)))>
#<alt (* (pow y 2) (- (/ x (pow y 2)) (/ 1 x)))>
#<alt (* -1 (/ (pow y 2) x))>
#<alt (* (pow y 2) (- (/ x (pow y 2)) (/ 1 x)))>
#<alt (* (pow y 2) (- (/ x (pow y 2)) (/ 1 x)))>
#<alt (* (pow y 2) (- (/ x (pow y 2)) (/ 1 x)))>
#<alt (* -1 (/ y x))>
#<alt (/ (+ x (* -1 y)) x)>
#<alt (/ (+ x (* -1 y)) x)>
#<alt (/ (+ x (* -1 y)) x)>
#<alt 1>
#<alt (+ 1 (* -1 (/ y x)))>
#<alt (+ 1 (* -1 (/ y x)))>
#<alt (+ 1 (* -1 (/ y x)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ y x)))>
#<alt (+ 1 (* -1 (/ y x)))>
#<alt (+ 1 (* -1 (/ y x)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ y x)))>
#<alt (+ 1 (* -1 (/ y x)))>
#<alt (+ 1 (* -1 (/ y x)))>
#<alt (* -1 (/ y x))>
#<alt (* y (- (/ 1 y) (/ 1 x)))>
#<alt (* y (- (/ 1 y) (/ 1 x)))>
#<alt (* y (- (/ 1 y) (/ 1 x)))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (* y (- (/ 1 x) (/ 1 y))))>
#<alt (* -1 (* y (- (/ 1 x) (/ 1 y))))>
#<alt (* -1 (* y (- (/ 1 x) (/ 1 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 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)))>

Calls

84 calls:

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

rewrite356.0ms (4.5%)

Algorithm

1×	batch-egg-rewrite

Rules

3770×	`/-lowering-/.f32`
3770×	`/-lowering-/.f64`
3266×	`-lowering-.f32`
3266×	`-lowering-.f64`
1830×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	99
1	164	90
2	1753	90
0	8241	90

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 741

Calls

Call 1

Inputs
(* y (+ -1/2 (* 3/2 (/ x y))))
(+ -1/2 (* 3/2 (/ x y)))
(* 3/2 (/ x y))
(/ x y)
(/ x 2/3)
(/ 3/2 (/ 1 x))
(/ 1 x)
(/ (* (* x x) 9/4) (+ (* x 3/2) (/ y 2)))
(* (* x x) 9/4)
(* x x)
(+ (* x 3/2) (/ y 2))
(+ x (/ (* (+ x y) (* (- x y) (/ 1 x))) 2))
(/ (* (+ x y) (* (- x y) (/ 1 x))) 2)
(* (+ x y) (* (- x y) (/ 1 x)))
(* (- x y) (/ 1 x))
(* x 3/2)
(+ x y)

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

simplify252.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

3516×	`+-lowering-+.f64`
3516×	`+-lowering-+.f32`
3400×	`-lowering-.f32`
3400×	`-lowering-.f64`
1526×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	289	2285
1	904	1982
2	2972	1937
0	8449	1937

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 336

Calls

Call 1

Inputs
(* 3/2 x)
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(* -1/2 y)
(* y (- (* 3/2 (/ x y)) 1/2))
(* y (- (* 3/2 (/ x y)) 1/2))
(* y (- (* 3/2 (/ x y)) 1/2))
(* -1/2 y)
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(* -1/2 y)
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(* 3/2 x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* 3/2 x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
-1/2
(- (* 3/2 (/ x y)) 1/2)
(- (* 3/2 (/ x y)) 1/2)
(- (* 3/2 (/ x y)) 1/2)
(* 3/2 (/ x y))
(* x (- (* 3/2 (/ 1 y)) (* 1/2 (/ 1 x))))
(* x (- (* 3/2 (/ 1 y)) (* 1/2 (/ 1 x))))
(* x (- (* 3/2 (/ 1 y)) (* 1/2 (/ 1 x))))
(* 3/2 (/ x y))
(* -1 (* x (- (* 1/2 (/ 1 x)) (* 3/2 (/ 1 y)))))
(* -1 (* x (- (* 1/2 (/ 1 x)) (* 3/2 (/ 1 y)))))
(* -1 (* x (- (* 1/2 (/ 1 x)) (* 3/2 (/ 1 y)))))
(* 3/2 (/ x y))
(/ (+ (* -1/2 y) (* 3/2 x)) y)
(/ (+ (* -1/2 y) (* 3/2 x)) y)
(/ (+ (* -1/2 y) (* 3/2 x)) y)
-1/2
(- (* 3/2 (/ x y)) 1/2)
(- (* 3/2 (/ x y)) 1/2)
(- (* 3/2 (/ x y)) 1/2)
-1/2
(- (* 3/2 (/ x y)) 1/2)
(- (* 3/2 (/ x y)) 1/2)
(- (* 3/2 (/ x y)) 1/2)
(* 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)
(* 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)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(* 9/2 (/ (pow x 2) y))
(* (pow x 2) (+ (* -27/2 (/ x (pow y 2))) (* 9/2 (/ 1 y))))
(* (pow x 2) (+ (* x (- (* 81/2 (/ x (pow y 3))) (* 27/2 (/ 1 (pow y 2))))) (* 9/2 (/ 1 y))))
(* (pow x 2) (+ (* x (- (* x (+ (* -243/2 (/ x (pow y 4))) (* 81/2 (/ 1 (pow y 3))))) (* 27/2 (/ 1 (pow y 2))))) (* 9/2 (/ 1 y))))
(* 3/2 x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (- (+ 3/2 (* 1/6 (/ (pow y 2) (pow x 2)))) (* 1/2 (/ y x))))
(* x (- (+ 3/2 (* -1/18 (/ (pow y 3) (pow x 3)))) (+ (* -1/6 (/ (pow y 2) (pow x 2))) (* 1/2 (/ y x)))))
(* 3/2 x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* -1 (/ (- (* 1/6 (/ (pow y 2) x)) (* 1/2 y)) x)) 3/2)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/18 (/ (pow y 3) x)) (* 1/6 (pow y 2))) x)) (* 1/2 y)) x)) 3/2)))
(* 3/2 x)
(+ (* -1/2 y) (* 3/2 x))
(+ (* 3/2 x) (* y (- (* 1/6 (/ y x)) 1/2)))
(+ (* 3/2 x) (* y (- (* y (+ (* -1/18 (/ y (pow x 2))) (* 1/6 (/ 1 x)))) 1/2)))
(* 9/2 (/ (pow x 2) y))
(/ (+ (* -27/2 (/ (pow x 3) y)) (* 9/2 (pow x 2))) y)
(/ (+ (* -27/2 (/ (pow x 3) y)) (+ (* 9/2 (pow x 2)) (* 81/2 (/ (pow x 4) (pow y 2))))) y)
(/ (+ (* -243/2 (/ (pow x 5) (pow y 3))) (+ (* -27/2 (/ (pow x 3) y)) (+ (* 9/2 (pow x 2)) (* 81/2 (/ (pow x 4) (pow y 2)))))) y)
(* 9/2 (/ (pow x 2) y))
(* -1 (/ (+ (* -9/2 (pow x 2)) (* 27/2 (/ (pow x 3) y))) y))
(* -1 (/ (+ (* -9/2 (pow x 2)) (* -1 (/ (+ (* -27/2 (pow x 3)) (* 81/2 (/ (pow x 4) y))) y))) y))
(* -1 (/ (+ (* -9/2 (pow x 2)) (* -1 (/ (+ (* -27/2 (pow x 3)) (* -1 (/ (+ (* -81/2 (pow x 4)) (* 243/2 (/ (pow x 5) y))) y))) y))) y))
(* 9/4 (pow x 2))
(* 9/4 (pow x 2))
(* 9/4 (pow x 2))
(* 9/4 (pow x 2))
(* 9/4 (pow x 2))
(* 9/4 (pow x 2))
(* 9/4 (pow x 2))
(* 9/4 (pow x 2))
(* 9/4 (pow x 2))
(* 9/4 (pow x 2))
(* 9/4 (pow x 2))
(* 9/4 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/2 y)
(+ (* 1/2 y) (* 3/2 x))
(+ (* 1/2 y) (* 3/2 x))
(+ (* 1/2 y) (* 3/2 x))
(* 3/2 x)
(* x (+ 3/2 (* 1/2 (/ y x))))
(* x (+ 3/2 (* 1/2 (/ y x))))
(* x (+ 3/2 (* 1/2 (/ y x))))
(* 3/2 x)
(* -1 (* x (- (* -1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* -1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* -1/2 (/ y x)) 3/2)))
(* 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 (+ 1/2 (* 3/2 (/ x y))))
(* y (+ 1/2 (* 3/2 (/ x y))))
(* y (+ 1/2 (* 3/2 (/ x y))))
(* 1/2 y)
(* -1 (* y (- (* -3/2 (/ x y)) 1/2)))
(* -1 (* y (- (* -3/2 (/ x y)) 1/2)))
(* -1 (* y (- (* -3/2 (/ x y)) 1/2)))
(* -1/2 (/ (pow y 2) x))
(/ (+ (* -1/2 (pow y 2)) (* 1/2 (* x (+ y (* -1 y))))) x)
(/ (+ (* -1/2 (pow y 2)) (* x (+ (* 1/2 (+ y (* -1 y))) (* 3/2 x)))) x)
(/ (+ (* -1/2 (pow y 2)) (* x (+ (* 1/2 (+ y (* -1 y))) (* 3/2 x)))) x)
(* 3/2 x)
(* x (+ 3/2 (* 1/2 (/ (+ y (* -1 y)) x))))
(* x (+ 3/2 (+ (* -1/2 (/ (pow y 2) (pow x 2))) (* 1/2 (/ (+ y (* -1 y)) x)))))
(* x (+ 3/2 (+ (* -1/2 (/ (pow y 2) (pow x 2))) (* 1/2 (/ (+ y (* -1 y)) x)))))
(* 3/2 x)
(* -1 (* x (- (* -1/2 (/ (+ y (* -1 y)) x)) 3/2)))
(* -1 (* x (- (* -1 (/ (+ (* -1/2 (/ (pow y 2) x)) (* 1/2 (+ y (* -1 y)))) x)) 3/2)))
(* -1 (* x (- (* -1 (/ (+ (* -1/2 (/ (pow y 2) x)) (* 1/2 (+ y (* -1 y)))) x)) 3/2)))
(+ x (* 1/2 x))
(+ x (+ (* -1/2 (/ (pow y 2) x)) (* 1/2 x)))
(+ x (+ (* -1/2 (/ (pow y 2) x)) (* 1/2 x)))
(+ x (+ (* -1/2 (/ (pow y 2) x)) (* 1/2 x)))
(* -1/2 (/ (pow y 2) x))
(* (pow y 2) (- (+ (* 1/2 (/ x (pow y 2))) (/ x (pow y 2))) (* 1/2 (/ 1 x))))
(* (pow y 2) (- (+ (* 1/2 (/ x (pow y 2))) (/ x (pow y 2))) (* 1/2 (/ 1 x))))
(* (pow y 2) (- (+ (* 1/2 (/ x (pow y 2))) (/ x (pow y 2))) (* 1/2 (/ 1 x))))
(* -1/2 (/ (pow y 2) x))
(* (pow y 2) (- (+ (* 1/2 (/ x (pow y 2))) (/ x (pow y 2))) (* 1/2 (/ 1 x))))
(* (pow y 2) (- (+ (* 1/2 (/ x (pow y 2))) (/ x (pow y 2))) (* 1/2 (/ 1 x))))
(* (pow y 2) (- (+ (* 1/2 (/ x (pow y 2))) (/ x (pow y 2))) (* 1/2 (/ 1 x))))
(* -1/2 (/ (pow y 2) x))
(/ (+ (* -1/2 (pow y 2)) (* 1/2 (* x (+ y (* -1 y))))) x)
(/ (+ (* -1/2 (pow y 2)) (* x (+ (* 1/2 x) (* 1/2 (+ y (* -1 y)))))) x)
(/ (+ (* -1/2 (pow y 2)) (* x (+ (* 1/2 x) (* 1/2 (+ y (* -1 y)))))) x)
(* 1/2 x)
(* x (+ 1/2 (* 1/2 (/ (+ y (* -1 y)) x))))
(* x (+ 1/2 (+ (* -1/2 (/ (pow y 2) (pow x 2))) (* 1/2 (/ (+ y (* -1 y)) x)))))
(* x (+ 1/2 (+ (* -1/2 (/ (pow y 2) (pow x 2))) (* 1/2 (/ (+ y (* -1 y)) x)))))
(* 1/2 x)
(* -1 (* x (- (* -1/2 (/ (+ y (* -1 y)) x)) 1/2)))
(* -1 (* x (- (* -1 (/ (+ (* -1/2 (/ (pow y 2) x)) (* 1/2 (+ y (* -1 y)))) x)) 1/2)))
(* -1 (* x (- (* -1 (/ (+ (* -1/2 (/ (pow y 2) x)) (* 1/2 (+ y (* -1 y)))) x)) 1/2)))
(* 1/2 x)
(+ (* -1/2 (/ (pow y 2) x)) (* 1/2 x))
(+ (* -1/2 (/ (pow y 2) x)) (* 1/2 x))
(+ (* -1/2 (/ (pow y 2) x)) (* 1/2 x))
(* -1/2 (/ (pow y 2) x))
(* (pow y 2) (- (* 1/2 (/ x (pow y 2))) (* 1/2 (/ 1 x))))
(* (pow y 2) (- (* 1/2 (/ x (pow y 2))) (* 1/2 (/ 1 x))))
(* (pow y 2) (- (* 1/2 (/ x (pow y 2))) (* 1/2 (/ 1 x))))
(* -1/2 (/ (pow y 2) x))
(* (pow y 2) (- (* 1/2 (/ x (pow y 2))) (* 1/2 (/ 1 x))))
(* (pow y 2) (- (* 1/2 (/ x (pow y 2))) (* 1/2 (/ 1 x))))
(* (pow y 2) (- (* 1/2 (/ x (pow y 2))) (* 1/2 (/ 1 x))))
(* -1 (/ (pow y 2) x))
(/ (+ (* -1 (pow y 2)) (* x (+ y (* -1 y)))) x)
(/ (+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y))))) x)
(/ (+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y))))) x)
x
(* x (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(* x (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))
(* x (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))
x
(* -1 (* x (- (* -1 (/ (+ y (* -1 y)) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (pow y 2) x)))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (pow y 2) x)))) x)) 1)))
x
(+ x (* -1 (/ (pow y 2) x)))
(+ x (* -1 (/ (pow y 2) x)))
(+ x (* -1 (/ (pow y 2) x)))
(* -1 (/ (pow y 2) x))
(* (pow y 2) (- (/ x (pow y 2)) (/ 1 x)))
(* (pow y 2) (- (/ x (pow y 2)) (/ 1 x)))
(* (pow y 2) (- (/ x (pow y 2)) (/ 1 x)))
(* -1 (/ (pow y 2) x))
(* (pow y 2) (- (/ x (pow y 2)) (/ 1 x)))
(* (pow y 2) (- (/ x (pow y 2)) (/ 1 x)))
(* (pow y 2) (- (/ x (pow y 2)) (/ 1 x)))
(* -1 (/ y x))
(/ (+ x (* -1 y)) x)
(/ (+ x (* -1 y)) x)
(/ (+ x (* -1 y)) x)
1
(+ 1 (* -1 (/ y x)))
(+ 1 (* -1 (/ y x)))
(+ 1 (* -1 (/ y x)))
1
(+ 1 (* -1 (/ y x)))
(+ 1 (* -1 (/ y x)))
(+ 1 (* -1 (/ y x)))
1
(+ 1 (* -1 (/ y x)))
(+ 1 (* -1 (/ y x)))
(+ 1 (* -1 (/ y x)))
(* -1 (/ y x))
(* y (- (/ 1 y) (/ 1 x)))
(* y (- (/ 1 y) (/ 1 x)))
(* y (- (/ 1 y) (/ 1 x)))
(* -1 (/ y x))
(* -1 (* y (- (/ 1 x) (/ 1 y))))
(* -1 (* y (- (/ 1 x) (/ 1 y))))
(* -1 (* y (- (/ 1 x) (/ 1 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)
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)))

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

eval185.0ms (2.3%)

Compiler: Compiled 20675 to 2828 computations (86.3% saved)

prune130.0ms (1.6%)

Pruning

12 alts after pruning (3 fresh and 9 done)

	Pruned	Kept	Total
New	1102	3	1105
Fresh	0	0	0
Picked	3	2	5
Done	1	7	8
Total	1106	12	1118

Accuracy

100.0%

Counts

1118 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.9%	(/.f64 (.f64 (.f64 x x) #s(literal 9/4 binary64)) (*.f64 #s(literal 3/2 binary64) x))
✓	48.6%	(/.f64 x #s(literal 2/3 binary64))
✓	48.6%	(/.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) x))
✓	48.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2/3 binary64) x))
✓	99.9%	(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))
✓	99.9%	(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
	87.3%	(+.f64 x (/.f64 (.f64 x (.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
✓	60.3%	(+.f64 x (*.f64 #s(literal -1/2 binary64) y))
	87.4%	(*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 3/2 binary64) (/.f64 y x))))
✓	48.7%	(*.f64 #s(literal 3/2 binary64) x)
✓	52.2%	(*.f64 #s(literal -1/2 binary64) y)
✓	11.4%	x

Compiler

Compiled 286 to 139 computations (51.4% saved)

regimes23.0ms (0.3%)

Counts

21 → 1

Calls

Call 1

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

9.0ms	(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
6.0ms	y
6.0ms	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)

regimes22.0ms (0.3%)

Counts

20 → 1

Calls

Call 1

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

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

Calls

3 calls:

9.0ms	(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
6.0ms	y
6.0ms	x

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes32.0ms (0.4%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

3 calls:

25.0ms	(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
3.0ms	y
3.0ms	x

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
80.8%	3	`x`
80.0%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Counts

6 → 3

Calls

Call 1

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

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
80.8%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
77.7%	3	`y`
79.6%	3	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (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	y
2.0ms	x

Results

Accuracy	Segments	Branch
52.2%	1	`y`
53.8%	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:

1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
11.4%	1	`y`
11.4%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch24.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	4.9896076294587566e-139	6.024252992037034e-133
11.0ms	-1.2062996711568837e+68	-1.5173300691389913e+67

Results

12.0ms	224×	0	valid
1.0ms	12×	1	valid
0.0ms	3×	2	valid
0.0ms	1×	3	valid

Compiler

Compiled 236 to 187 computations (20.8% saved)

Precisions

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

ival-div: 2.0ms (36.4% of total)

ival-sub: 2.0ms (36.4% of total)

ival-add: 1.0ms (18.2% of total)

const: 0.0ms (0% of total)

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

bsearch29.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	4.9896076294587566e-139	6.024252992037034e-133
9.0ms	-1.2062996711568837e+68	-1.5173300691389913e+67

Results

18.0ms	226×	0	valid
1.0ms	9×	1	valid
1.0ms	4×	2	valid
0.0ms	1×	3	valid

Compiler

Compiled 224 to 175 computations (21.9% saved)

Precisions

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

ival-div: 3.0ms (45.7% of total)

ival-sub: 2.0ms (30.5% of total)

ival-add: 1.0ms (15.2% 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
11.0ms	4.9896076294587566e-139	6.024252992037034e-133
7.0ms	-1.2062996711568837e+68	-1.5173300691389913e+67

Results

10.0ms	233×	0	valid
1.0ms	7×	1	valid

Compiler

Compiled 194 to 160 computations (17.5% saved)

Precisions

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

ival-div: 2.0ms (39.9% of total)

ival-add: 1.0ms (19.9% of total)

ival-sub: 1.0ms (19.9% of total)

const: 0.0ms (0% of total)

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

bsearch38.0ms (0.5%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
37.0ms	1.229536252083503e+165	6.567832059798108e+176

Results

6.0ms	137×	0	valid
1.0ms	14×	1	valid
1.0ms	6×	2	valid
1.0ms	3×	3	valid

Compiler

Compiled 114 to 90 computations (21.1% saved)

Precisions

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

ival-div: 1.0ms (23.9% of total)

ival-sub: 1.0ms (23.9% of total)

ival-add: 1.0ms (23.9% of total)

const: 0.0ms (0% of total)

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

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

10×	`+-commutative_binary64`
6×	`*-commutative_binary64`
4×	`sub-neg_binary64`
4×	`if-if-or-not_binary32`
2×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	82
1	57	82
2	61	82
3	63	82
4	64	82

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.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 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
(if (<=.f64 x #s(literal -15999999999999999125157341891959122011354345120339966794653465837568 binary64)) (/.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) x)) (if (<=.f64 x #s(literal 7672009237256583/12786682062094304179739022253232809188346257992355721833919106906625522642205759980012773798148063113870651109873281527379754908382364816614564560896 binary64)) (+.f64 x (.f64 #s(literal -1/2 binary64) y)) (.f64 #s(literal 3/2 binary64) x)))
(if (<=.f64 x #s(literal -25500000000000001131194342948110093361563378469278880044430395441152 binary64)) (.f64 #s(literal 3/2 binary64) x) (if (<=.f64 x #s(literal 927034449501837/1598335257761788022467377781654101148543282249044465229239888363328190330275719997501596724768507889233831388734160190922469363547795602076820570112 binary64)) (+.f64 x (.f64 #s(literal -1/2 binary64) y)) (*.f64 #s(literal 3/2 binary64) x)))
(if (<=.f64 x #s(literal -38000000000000002037837297717225532438543058589860404488408022384640 binary64)) (.f64 #s(literal 3/2 binary64) x) (if (<=.f64 x #s(literal 7288408775393753/12786682062094304179739022253232809188346257992355721833919106906625522642205759980012773798148063113870651109873281527379754908382364816614564560896 binary64)) (.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x)))
(if (<=.f64 x #s(literal 195000000000000007076193441083487857344362147631192328697251693433360562607168617016222351732271714288451650137406577462727597889299024674712993571385541184494469061066740465664 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 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
(if (<=.f64 x #s(literal -15999999999999999125157341891959122011354345120339966794653465837568 binary64)) (/.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) x)) (if (<=.f64 x #s(literal 7672009237256583/12786682062094304179739022253232809188346257992355721833919106906625522642205759980012773798148063113870651109873281527379754908382364816614564560896 binary64)) (+.f64 x (.f64 #s(literal -1/2 binary64) y)) (.f64 #s(literal 3/2 binary64) x)))
(if (<=.f64 x #s(literal -15999999999999999125157341891959122011354345120339966794653465837568 binary64)) (/.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) x)) (if (<=.f64 x #s(literal 7672009237256583/12786682062094304179739022253232809188346257992355721833919106906625522642205759980012773798148063113870651109873281527379754908382364816614564560896 binary64)) (+.f64 x (.f64 y #s(literal -1/2 binary64))) (.f64 x #s(literal 3/2 binary64))))
(if (<=.f64 x #s(literal -25500000000000001131194342948110093361563378469278880044430395441152 binary64)) (.f64 #s(literal 3/2 binary64) x) (if (<=.f64 x #s(literal 927034449501837/1598335257761788022467377781654101148543282249044465229239888363328190330275719997501596724768507889233831388734160190922469363547795602076820570112 binary64)) (+.f64 x (.f64 #s(literal -1/2 binary64) y)) (*.f64 #s(literal 3/2 binary64) x)))
(if (<=.f64 x #s(literal -25500000000000001131194342948110093361563378469278880044430395441152 binary64)) (.f64 x #s(literal 3/2 binary64)) (if (<=.f64 x #s(literal 927034449501837/1598335257761788022467377781654101148543282249044465229239888363328190330275719997501596724768507889233831388734160190922469363547795602076820570112 binary64)) (+.f64 x (.f64 y #s(literal -1/2 binary64))) (*.f64 x #s(literal 3/2 binary64))))
(if (<=.f64 x #s(literal -38000000000000002037837297717225532438543058589860404488408022384640 binary64)) (.f64 #s(literal 3/2 binary64) x) (if (<=.f64 x #s(literal 7288408775393753/12786682062094304179739022253232809188346257992355721833919106906625522642205759980012773798148063113870651109873281527379754908382364816614564560896 binary64)) (.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x)))
(if (<=.f64 x #s(literal -38000000000000002037837297717225532438543058589860404488408022384640 binary64)) (.f64 x #s(literal 3/2 binary64)) (if (<=.f64 x #s(literal 7288408775393753/12786682062094304179739022253232809188346257992355721833919106906625522642205759980012773798148063113870651109873281527379754908382364816614564560896 binary64)) (.f64 y #s(literal -1/2 binary64)) (*.f64 x #s(literal 3/2 binary64))))
(if (<=.f64 x #s(literal 195000000000000007076193441083487857344362147631192328697251693433360562607168617016222351732271714288451650137406577462727597889299024674712993571385541184494469061066740465664 binary64)) (*.f64 #s(literal -1/2 binary64) y) x)
(if (<=.f64 x #s(literal 195000000000000007076193441083487857344362147631192328697251693433360562607168617016222351732271714288451650137406577462727597889299024674712993571385541184494469061066740465664 binary64)) (*.f64 y #s(literal -1/2 binary64)) x)
x

soundness1.5s (18.8%)

Rules

4726×	`-lowering-.f32`
4726×	`-lowering-.f64`
4402×	`-lowering-.f32`
4402×	`-lowering-.f64`
4328×	`-lowering-.f32`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	11	28
1	70	26
2	667	26
0	8622	26
0	19	103
1	121	53
2	1136	53
0	8760	53
0	211	1511
1	664	1388
2	1827	1360
3	5568	1354
0	8445	1354
0	66	513
1	210	513
2	629	513
3	1850	495
4	5615	495
0	8183	495
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×	fuel
1×	iter limit
1×	saturated
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 185 to 113 computations (38.9% saved)

preprocess54.0ms (0.7%)

Compiler: Compiled 212 to 104 computations (50.9% saved)

analyze0.0ms (0%)

sample720.0ms (9%)

preprocess165.0ms (2.1%)

explain72.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify77.0ms (1%)

localize75.0ms (0.9%)

series8.0ms (0.1%)

rewrite343.0ms (4.3%)

simplify135.0ms (1.7%)

eval75.0ms (0.9%)

prune86.0ms (1.1%)

simplify183.0ms (2.3%)

localize143.0ms (1.8%)

series13.0ms (0.2%)

rewrite394.0ms (4.9%)

simplify323.0ms (4%)

eval234.0ms (2.9%)

prune123.0ms (1.5%)

simplify239.0ms (3%)

localize282.0ms (3.5%)

series20.0ms (0.3%)

rewrite348.0ms (4.4%)

simplify265.0ms (3.3%)

eval238.0ms (3%)

prune168.0ms (2.1%)

simplify247.0ms (3.1%)

localize283.0ms (3.5%)

series19.0ms (0.2%)

rewrite356.0ms (4.5%)

simplify252.0ms (3.2%)

eval185.0ms (2.3%)

prune130.0ms (1.6%)

regimes23.0ms (0.3%)

regimes22.0ms (0.3%)

regimes32.0ms (0.4%)

regimes6.0ms (0.1%)

regimes4.0ms (0%)

regimes5.0ms (0.1%)

regimes3.0ms (0%)

regimes3.0ms (0%)

bsearch24.0ms (0.3%)

bsearch29.0ms (0.4%)

bsearch21.0ms (0.3%)

bsearch38.0ms (0.5%)

simplify10.0ms (0.1%)

soundness1.5s (18.8%)

preprocess54.0ms (0.7%)

end0.0ms (0%)

Profiling