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)

sample806.0ms (10.5%)

Results

482.0ms	7615×	0	valid
54.0ms	214×	2	valid
35.0ms	139×	3	valid
31.0ms	288×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 246.0ms

ival-div: 82.0ms (33.4% of total)

ival-sub: 78.0ms (31.8% of total)

ival-add: 49.0ms (20% of total)

backward-pass: 25.0ms (10.2% of total)

const: 11.0ms (4.5% of total)

Bogosity

preprocess193.0ms (2.5%)

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))

explain105.0ms (1.4%)

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

68.0ms	472×	0	valid
7.0ms	20×	3	valid
4.0ms	16×	2	valid
1.0ms	4×	1	valid

Compiler

Compiled 51 to 20 computations (60.8% saved)

Precisions

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

ival-div: 6.0ms (34% of total)

ival-sub: 6.0ms (34% of total)

ival-add: 3.0ms (17% of total)

backward-pass: 2.0ms (11.3% of total)

const: 1.0ms (5.7% 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)

simplify69.0ms (0.9%)

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)

localize62.0ms (0.8%)

Localize:

Found 6 expressions of interest:

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

39.0ms	236×	0	valid
6.0ms	10×	3	valid
4.0ms	8×	2	valid
1.0ms	2×	1	valid

Compiler

Compiled 38 to 12 computations (68.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-div: 4.0ms (29.3% of total)

ival-add: 3.0ms (22% of total)

ival-sub: 2.0ms (14.7% of total)

ival-mult: 2.0ms (14.7% of total)

backward-pass: 2.0ms (14.7% of total)

const: 1.0ms (7.3% of total)

series6.0ms (0.1%)

Counts

6 → 120

Calls

Call 1

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

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

Calls

30 calls:

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

rewrite336.0ms (4.4%)

Algorithm

1×	batch-egg-rewrite

Rules

4496×	`-lowering-.f32`
4496×	`-lowering-.f64`
3506×	`/-lowering-/.f32`
3506×	`/-lowering-/.f64`
1648×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	28
1	70	26
2	669	26
0	8433	26

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 315

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

simplify168.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	66	513
1	210	513
2	629	513
3	1850	495
4	5619	495
0	8190	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)

eval83.0ms (1.1%)

Compiler: Compiled 8272 to 1078 computations (87% saved)

prune53.0ms (0.7%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	424	11	435
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	424	13	437

Accuracy

100.0%

Counts

437 → 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)))
	52.5%	(/.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))
	54.3%	(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 9/4 binary64)) (/.f64 y (/.f64 #s(literal 4 binary64) y))) (+.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)))
	82.8%	(+.f64 x (/.f64 (+.f64 (*.f64 x (/.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64)) (/.f64 #s(literal -4 binary64) y)))
▶	99.7%	(+.f64 x (/.f64 (.f64 (+.f64 x y) (.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 x y)))) #s(literal 2 binary64)))
	99.7%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 x y))))
▶	56.2%	(+.f64 x (*.f64 #s(literal -1/2 binary64) y))
	99.7%	(.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (.f64 x #s(literal 3/2 binary64))) (.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (.f64 x #s(literal -3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))))))
	54.3%	(*.f64 #s(literal 3/2 binary64) x)
▶	47.0%	(*.f64 #s(literal -1/2 binary64) y)

Compiler

Compiled 326 to 213 computations (34.7% saved)

simplify226.0ms (2.9%)

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

1778×	`-lowering-.f32`
1778×	`-lowering-.f64`
1688×	`sum5-define`
1554×	`sum3-define`
1382×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	132
1	48	125
2	111	94
3	352	93
4	1576	93
5	4929	93
0	8052	93

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 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

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

localize185.0ms (2.4%)

Localize:

Found 13 expressions of interest:

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

79.0ms	213×	0	valid
36.0ms	14×	2	valid
26.0ms	19×	3	valid
8.0ms	10×	1	valid

Compiler

Compiled 139 to 23 computations (83.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

ival-add: 31.0ms (44% of total)

ival-div: 15.0ms (21.3% of total)

ival-mult: 10.0ms (14.2% of total)

compiled-spec: 6.0ms (8.5% of total)

backward-pass: 6.0ms (8.5% of total)

ival-sub: 2.0ms (2.8% of total)

const: 1.0ms (1.4% of total)

series12.0ms (0.2%)

Counts

13 → 276

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

69 calls:

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

rewrite452.0ms (5.9%)

Algorithm

1×	batch-egg-rewrite

Rules

3742×	`/-lowering-/.f32`
3742×	`/-lowering-/.f64`
3438×	`-lowering-.f32`
3438×	`-lowering-.f64`
2088×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	88
1	146	62
2	1335	62
0	8273	62

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 789

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

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 #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 #s(literal 0 binary64) (/.f64 (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal -2 binary64))) #s(literal -1 binary64)))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9/4 binary64)) (+.f64 (.f64 x #s(literal 3/2 binary64)) (.f64 #s(literal 1/2 binary64) y))) (/.f64 (/.f64 (.f64 y y) #s(literal 4 binary64)) (+.f64 (.f64 x #s(literal 3/2 binary64)) (*.f64 #s(literal 1/2 binary64) y))))
(-.f64 (/.f64 (/.f64 (.f64 y y) #s(literal 4 binary64)) (+.f64 (/.f64 y #s(literal -2 binary64)) (.f64 #s(literal -3/2 binary64) x))) (/.f64 (.f64 (.f64 x x) #s(literal 9/4 binary64)) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 #s(literal -3/2 binary64) x))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9/4 binary64)) (+.f64 (.f64 x #s(literal 3/2 binary64)) (.f64 #s(literal 1/2 binary64) y))) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 (.f64 y y) #s(literal 4 binary64)) (+.f64 (.f64 x #s(literal 3/2 binary64)) (*.f64 #s(literal 1/2 binary64) y))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (/.f64 (.f64 y y) #s(literal 4 binary64)) (+.f64 (/.f64 y #s(literal -2 binary64)) (.f64 #s(literal -3/2 binary64) x))) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9/4 binary64)) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 #s(literal -3/2 binary64) x))) #s(literal 1 binary64)))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9/4 binary64)) (.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 3/2 binary64)) (.f64 #s(literal 1/2 binary64) y)))) (/.f64 (/.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 3/2 binary64)) (*.f64 #s(literal 1/2 binary64) y)))))
(-.f64 (/.f64 (/.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (.f64 #s(literal -3/2 binary64) x)))) (/.f64 (.f64 (.f64 x x) #s(literal 9/4 binary64)) (.f64 #s(literal 1 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 #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 (-.f64 #s(literal 0 binary64) y) #s(literal 1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (.f64 x #s(literal 3/2 binary64))))
(neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal -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 x x) #s(literal 9/4 binary64)) (/.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (.f64 #s(literal -3/2 binary64) x)) (/.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)))))
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(.f64 (/.f64 (+.f64 x y) (-.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (/.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (*.f64 y (+.f64 x y))))))
(.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 x y))) (/.f64 (+.f64 x y) (-.f64 (.f64 x x) (*.f64 y y))))
(.f64 (/.f64 (+.f64 x y) (.f64 (-.f64 (.f64 x x) (.f64 y y)) #s(literal 1 binary64))) (/.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 x y))))
(.f64 (/.f64 (+.f64 x y) (.f64 (+.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 x y)))) (/.f64 (-.f64 x y) (-.f64 x y)))
(.f64 (/.f64 (+.f64 x y) (/.f64 (-.f64 (.f64 x x) (.f64 y y)) (-.f64 (.f64 x x) (*.f64 y y)))) (/.f64 (-.f64 x y) (-.f64 x y)))
(.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 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 x y) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (*.f64 y (+.f64 x y))))))
(.f64 (/.f64 (-.f64 x y) (.f64 (-.f64 (.f64 x x) (.f64 y y)) #s(literal 1 binary64))) (/.f64 (+.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 x y))))
(.f64 (/.f64 (-.f64 x y) (.f64 (+.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 x y)))) (/.f64 (+.f64 x y) (-.f64 x y)))
(.f64 (/.f64 (-.f64 x y) (/.f64 (-.f64 (.f64 x x) (.f64 y y)) (-.f64 (.f64 x x) (*.f64 y y)))) (/.f64 (+.f64 x y) (-.f64 x y)))
(.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 x y) (+.f64 (.f64 x x) (*.f64 y (-.f64 y x)))))

simplify366.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

3184×	`-lowering-.f32`
3184×	`-lowering-.f64`
2920×	`/-lowering-/.f32`
2920×	`/-lowering-/.f64`
2334×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	328	1934
1	1106	1809
2	3244	1734
0	8846	1734

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

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

eval167.0ms (2.2%)

Compiler: Compiled 26328 to 2855 computations (89.2% saved)

prune140.0ms (1.8%)

Pruning

13 alts after pruning (8 fresh and 5 done)

	Pruned	Kept	Total
New	1207	5	1212
Fresh	3	3	6
Picked	2	3	5
Done	0	2	2
Total	1212	13	1225

Accuracy

100.0%

Counts

1225 → 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)))
	54.4%	(/.f64 (-.f64 (/.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 (.f64 x x) #s(literal 9/4 binary64))) (+.f64 (/.f64 y #s(literal -2 binary64)) (.f64 #s(literal -3/2 binary64) x)))
▶	54.1%	(/.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)))
▶	54.5%	(+.f64 x (/.f64 (.f64 (+.f64 x y) (.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
▶	99.7%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 x y))))
✓	56.2%	(+.f64 x (*.f64 #s(literal -1/2 binary64) y))
▶	99.7%	(.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (.f64 x #s(literal 3/2 binary64))) (.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (.f64 x #s(literal -3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))))))
	82.9%	(.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 3/2 binary64) x) y)))
	54.3%	(*.f64 #s(literal 3/2 binary64) x)
✓	47.0%	(*.f64 #s(literal -1/2 binary64) y)
▶	12.2%	x

Compiler

Compiled 242 to 164 computations (32.2% saved)

simplify218.0ms (2.8%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	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	128	(.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (.f64 x #s(literal 3/2 binary64))) (.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (.f64 x #s(literal -3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))))))
✓	cost-diff	1024	(.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (.f64 x #s(literal -3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))))
✓	cost-diff	0	(.f64 (+.f64 x y) (.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) x)))
✓	cost-diff	0	(/.f64 (.f64 (+.f64 x y) (.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
✓	cost-diff	0	(+.f64 x (/.f64 (.f64 (+.f64 x y) (.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
✓	cost-diff	128	(*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) x))
✓	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 x y)
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (-.f64 x y))
✓	cost-diff	0	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 x y))))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 x y)))

Rules

3582×	`-lowering-.f32`
3582×	`-lowering-.f64`
2106×	`/-lowering-/.f32`
2106×	`/-lowering-/.f64`
1956×	`sum4-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	133
1	66	123
2	149	123
3	546	123
4	2760	123
0	8618	123

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize409.0ms (5.3%)

Localize:

Found 14 expressions of interest:

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

Results

278.0ms	88×	5	exit
73.0ms	168×	0	valid

Compiler

Compiled 182 to 29 computations (84.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 175.0ms

ival-div: 56.0ms (32% of total)

backward-pass: 33.0ms (18.9% of total)

ival-mult: 29.0ms (16.6% of total)

...c/correct-round.rkt:119:19: 27.0ms (15.4% of total)

ival-add: 23.0ms (13.1% of total)

ival-sub: 5.0ms (2.9% of total)

const: 2.0ms (1.1% of total)

series21.0ms (0.3%)

Counts

18 → 372

Calls

Call 1

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

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

Calls

93 calls:

Time	Variable		Point	Expression
5.0ms	y	@	inf	(- x y)
2.0ms	y	@	inf	(+ x (/ (* (+ x y) (* (- x y) (/ 1 x))) 2))
1.0ms	y	@	inf	(/ 1 (+ (/ y -2) (* x -3/2)))
1.0ms	y	@	0	(+ x (/ (* (+ x y) (* (- x y) (/ 1 x))) 2))
0.0ms	x	@	-inf	(+ x (/ (* (+ x y) (* (- x y) (/ 1 x))) 2))

rewrite421.0ms (5.5%)

Algorithm

1×	batch-egg-rewrite

Rules

4612×	`-lowering-.f32`
4612×	`-lowering-.f64`
3762×	`/-lowering-/.f32`
3762×	`/-lowering-/.f64`
2250×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	103
1	179	88
2	1795	88
0	10123	88

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 717

Calls

Call 1

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

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

simplify264.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

3530×	`-lowering-.f32`
3530×	`-lowering-.f64`
2266×	`+-lowering-+.f64`
2266×	`+-lowering-+.f32`
1374×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	415	2632
1	1431	2313
2	4445	2233
0	8779	2233

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 372

Calls

Call 1

Inputs
(* -1/2 y)
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(* 1/2 x)
(* x (+ 1/2 (* -1/2 (/ y x))))
(* x (+ 1/2 (* -1/2 (/ y x))))
(* x (+ 1/2 (* -1/2 (/ y x))))
(* 1/2 x)
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(* 1/2 x)
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(* -1/2 y)
(* y (- (* 1/2 (/ x y)) 1/2))
(* y (- (* 1/2 (/ x y)) 1/2))
(* y (- (* 1/2 (/ x y)) 1/2))
(* -1/2 y)
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(* -1/2 y)
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(* 3/2 x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* 3/2 x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(+ x (* 1/2 x))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(* -1/2 y)
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* -1/2 y)
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(/ -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)))))
(* 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 (/ 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))))
(* -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
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
(* 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)))
(* 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)
y
(+ x y)
(+ x y)
(+ x y)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
x
(+ x y)
(+ x y)
(+ x y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(/ -2/3 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)
(/ (- (* 2/9 (/ y x)) 2/3) x)
(/ (- (* -2/27 (/ (pow y 2) (pow x 2))) (+ 2/3 (* -2/9 (/ y x)))) x)
(/ (- (* 2/81 (/ (pow y 3) (pow x 3))) (+ 2/3 (+ (* -2/9 (/ y x)) (* 2/27 (/ (pow y 2) (pow x 2)))))) x)
(/ -2/3 x)
(* -1 (/ (+ 2/3 (* -2/9 (/ y x))) x))
(* -1 (/ (+ 2/3 (* -1 (/ (- (* -2/27 (/ (pow y 2) x)) (* -2/9 y)) x))) x))
(* -1 (/ (+ 2/3 (* -1 (/ (- (* -1 (/ (- (* -2/81 (/ (pow y 3) x)) (* -2/27 (pow y 2))) x)) (* -2/9 y)) x))) x))
(* -3/2 x)
(* -3/2 x)
(* -3/2 x)
(* -3/2 x)
(* -3/2 x)
(* -3/2 x)
(* -3/2 x)
(* -3/2 x)
(* -3/2 x)
(* -3/2 x)
(* -3/2 x)
(* -3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)

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

eval172.0ms (2.2%)

Compiler: Compiled 25238 to 2476 computations (90.2% saved)

prune125.0ms (1.6%)

Pruning

14 alts after pruning (7 fresh and 7 done)

	Pruned	Kept	Total
New	1201	7	1208
Fresh	3	0	3
Picked	3	2	5
Done	0	5	5
Total	1207	14	1221

Accuracy

100.0%

Counts

1221 → 14

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)))
	80.6%	(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (/.f64 #s(literal -2 binary64) y) #s(literal 3/2 binary64))) (.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 #s(literal 1 binary64) x)))
▶	54.2%	(/.f64 x #s(literal 2/3 binary64))
▶	54.2%	(/.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) x))
✓	54.1%	(/.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)))
▶	53.3%	(+.f64 x (/.f64 (.f64 (+.f64 x y) (.f64 x (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
✓	56.2%	(+.f64 x (*.f64 #s(literal -1/2 binary64) y))
	54.2%	(.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (.f64 x #s(literal 3/2 binary64))) (.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (.f64 x #s(literal -3/2 binary64))) (/.f64 #s(literal -2/3 binary64) x)))
▶	82.8%	(.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 (/.f64 x y) #s(literal 3/2 binary64))))
▶	54.3%	(*.f64 x #s(literal 3/2 binary64))
✓	47.0%	(*.f64 #s(literal -1/2 binary64) y)
✓	12.2%	x

Compiler

Compiled 214 to 150 computations (29.9% saved)

simplify152.0ms (2%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Rules

3812×	`-lowering-.f32`
3812×	`-lowering-.f64`
1760×	`distribute-lft-in`
1740×	`distribute-rgt-in`
1736×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	75
1	50	68
2	93	68
3	217	66
4	718	66
5	3090	66
6	7909	66
0	8279	66

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize321.0ms (4.2%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(.f64 (+.f64 x y) (.f64 x (/.f64 #s(literal 1 binary64) x)))
✓	accuracy	100.0%	(+.f64 x (/.f64 (.f64 (+.f64 x y) (.f64 x (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
✓	accuracy	99.9%	(*.f64 x (/.f64 #s(literal 1 binary64) x))
✓	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 #s(literal 3/2 binary64))
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(+.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 x y) #s(literal 3/2 binary64)))
✓	accuracy	99.7%	(*.f64 (/.f64 x y) #s(literal 3/2 binary64))
✓	accuracy	90.1%	(.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 (/.f64 x y) #s(literal 3/2 binary64))))

Results

230.0ms	88×	5	exit
55.0ms	168×	0	valid

Compiler

Compiled 100 to 21 computations (79% saved)

Precisions

Click to see histograms. Total time spent on operations: 118.0ms

ival-div: 33.0ms (28% of total)

backward-pass: 27.0ms (22.9% of total)

...c/correct-round.rkt:119:19: 23.0ms (19.5% of total)

ival-mult: 22.0ms (18.7% of total)

ival-add: 11.0ms (9.3% of total)

const: 2.0ms (1.7% of total)

series12.0ms (0.2%)

Counts

13 → 252

Calls

Call 1

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

63 calls:

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

rewrite324.0ms (4.2%)

Algorithm

1×	batch-egg-rewrite

Rules

4720×	`-lowering-.f32`
4720×	`-lowering-.f64`
3702×	`/-lowering-/.f32`
3702×	`/-lowering-/.f64`
1396×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	58
1	122	51
2	842	51
0	8404	51

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 557

Calls

Call 1

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

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

simplify163.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

2038×	`-lowering-.f32`
2038×	`-lowering-.f64`
1324×	`times-frac`
1072×	`sum4-define`
1008×	`sum3-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	948
1	276	948
2	782	948
3	2382	948
4	6058	948
0	8021	948

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

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

eval181.0ms (2.4%)

Compiler: Compiled 13459 to 1758 computations (86.9% saved)

prune78.0ms (1%)

Pruning

14 alts after pruning (3 fresh and 11 done)

	Pruned	Kept	Total
New	838	1	839
Fresh	0	2	2
Picked	1	4	5
Done	0	7	7
Total	839	14	853

Accuracy

100.0%

Counts

853 → 14

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)))
	80.6%	(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (/.f64 #s(literal -2 binary64) y) #s(literal 3/2 binary64))) (.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 #s(literal 1 binary64) x)))
✓	54.2%	(/.f64 x #s(literal 2/3 binary64))
✓	54.2%	(/.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) x))
✓	54.1%	(/.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)))
	54.3%	(+.f64 x (/.f64 (.f64 x (.f64 x (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
✓	56.2%	(+.f64 x (*.f64 #s(literal -1/2 binary64) y))
	54.2%	(.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (.f64 x #s(literal 3/2 binary64))) (.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (.f64 x #s(literal -3/2 binary64))) (/.f64 #s(literal -2/3 binary64) x)))
✓	82.8%	(.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 (/.f64 x y) #s(literal 3/2 binary64))))
✓	54.3%	(*.f64 x #s(literal 3/2 binary64))
✓	47.0%	(*.f64 #s(literal -1/2 binary64) y)
✓	12.2%	x

Compiler

Compiled 406 to 186 computations (54.2% saved)

regimes26.0ms (0.3%)

Counts

26 → 1

Calls

Call 1

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

8.0ms	(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
8.0ms	x
7.0ms	y

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes32.0ms (0.4%)

Counts

25 → 1

Calls

Call 1

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

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

Calls

3 calls:

16.0ms	y
7.0ms	x
7.0ms	(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))

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)

regimes12.0ms (0.2%)

Counts

9 → 1

Calls

Call 1

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

4.0ms	(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
3.0ms	x
3.0ms	y

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts

8 → 3

Calls

Call 1

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

Calls

2 calls:

4.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
83.8%	3	`x`
80.1%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Counts

5 → 3

Calls

Call 1

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

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
83.0%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
51.1%	3	`y`
50.7%	3	`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
12.2%	1	`x`
12.2%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch21.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	11446464.710396769	2836187017.676507
10.0ms	-2.30493117386787e-69	-5.2350413726137725e-70

Results

11.0ms	202×	0	valid
1.0ms	3×	2	valid
0.0ms	3×	1	valid

Compiler

Compiled 196 to 153 computations (21.9% saved)

Precisions

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

ival-div: 2.0ms (43.6% of total)

ival-add: 1.0ms (21.8% of total)

ival-sub: 1.0ms (21.8% of total)

const: 0.0ms (0% of total)

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

bsearch46.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	11446464.710396769	2836187017.676507
34.0ms	-2.30493117386787e-69	-5.2350413726137725e-70

Results

36.0ms	200×	0	valid
1.0ms	7×	1	valid
0.0ms	1×	2	valid

Compiler

Compiled 170 to 140 computations (17.6% saved)

Precisions

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

ival-div: 2.0ms (43.2% of total)

ival-add: 1.0ms (21.6% of total)

ival-sub: 1.0ms (21.6% of total)

const: 0.0ms (0% of total)

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

bsearch30.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	5.191664000304088e-148	2.7096939851272357e-142
12.0ms	-1.0956105856402209e-140	-2.0036552186763808e-141

Results

12.0ms	208×	0	valid
3.0ms	14×	3	valid
1.0ms	12×	1	valid
1.0ms	6×	2	valid

Compiler

Compiled 164 to 130 computations (20.7% saved)

Precisions

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

ival-div: 2.0ms (28.1% of total)

ival-sub: 2.0ms (28.1% of total)

ival-add: 2.0ms (28.1% of total)

backward-pass: 1.0ms (14.1% of total)

const: 0.0ms (0% of total)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

10×	`+-commutative_binary64`
6×	`*-commutative_binary64`
6×	`if-if-or-not_binary32`
4×	`sub-neg_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	66
1	48	66
2	53	66
3	55	66
4	56	66

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 -1699835280697513/971334446112864535459730953411759453321203419526069760625906204869452142602604249088 binary64)) (.f64 #s(literal 3/2 binary64) x) (if (<=.f64 x #s(literal 13000000 binary64)) (+.f64 x (.f64 #s(literal -1/2 binary64) y)) (*.f64 #s(literal 3/2 binary64) x)))
(if (<=.f64 x #s(literal -3205403672172453/1942668892225729070919461906823518906642406839052139521251812409738904285205208498176 binary64)) (.f64 #s(literal 3/2 binary64) x) (if (<=.f64 x #s(literal 13000000 binary64)) (.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x)))
(if (<=.f64 y #s(literal -4547928449836529/858099707516326214372737599885174152158679412517913176174307932398192897924707006515319955082681819372162038923935107254640248499964580476571753536389382144 binary64)) (.f64 #s(literal -1/2 binary64) y) (if (<=.f64 y #s(literal 251939172494419/449891379454319638281053850768598185886969711830191663310075557261183758067148787031904068610389085714992091063352089512320826605549429968900851518086516385513472 binary64)) x (.f64 #s(literal -1/2 binary64) y)))
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 -1699835280697513/971334446112864535459730953411759453321203419526069760625906204869452142602604249088 binary64)) (.f64 #s(literal 3/2 binary64) x) (if (<=.f64 x #s(literal 13000000 binary64)) (+.f64 x (.f64 #s(literal -1/2 binary64) y)) (*.f64 #s(literal 3/2 binary64) x)))
(if (<=.f64 x #s(literal -1699835280697513/971334446112864535459730953411759453321203419526069760625906204869452142602604249088 binary64)) (.f64 x #s(literal 3/2 binary64)) (if (<=.f64 x #s(literal 13000000 binary64)) (+.f64 x (.f64 y #s(literal -1/2 binary64))) (*.f64 x #s(literal 3/2 binary64))))
(if (<=.f64 x #s(literal -3205403672172453/1942668892225729070919461906823518906642406839052139521251812409738904285205208498176 binary64)) (.f64 #s(literal 3/2 binary64) x) (if (<=.f64 x #s(literal 13000000 binary64)) (.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x)))
(if (<=.f64 x #s(literal -3205403672172453/1942668892225729070919461906823518906642406839052139521251812409738904285205208498176 binary64)) (.f64 x #s(literal 3/2 binary64)) (if (<=.f64 x #s(literal 13000000 binary64)) (.f64 y #s(literal -1/2 binary64)) (*.f64 x #s(literal 3/2 binary64))))
(if (<=.f64 y #s(literal -4547928449836529/858099707516326214372737599885174152158679412517913176174307932398192897924707006515319955082681819372162038923935107254640248499964580476571753536389382144 binary64)) (.f64 #s(literal -1/2 binary64) y) (if (<=.f64 y #s(literal 251939172494419/449891379454319638281053850768598185886969711830191663310075557261183758067148787031904068610389085714992091063352089512320826605549429968900851518086516385513472 binary64)) x (.f64 #s(literal -1/2 binary64) y)))
(if (<=.f64 y #s(literal -4547928449836529/858099707516326214372737599885174152158679412517913176174307932398192897924707006515319955082681819372162038923935107254640248499964580476571753536389382144 binary64)) (.f64 y #s(literal -1/2 binary64)) (if (<=.f64 y #s(literal 251939172494419/449891379454319638281053850768598185886969711830191663310075557261183758067148787031904068610389085714992091063352089512320826605549429968900851518086516385513472 binary64)) x (.f64 y #s(literal -1/2 binary64))))
x

soundness1.1s (14.6%)

Rules

4496×	`-lowering-.f32`
4496×	`-lowering-.f64`
3506×	`/-lowering-/.f32`
3506×	`/-lowering-/.f64`
3184×	`-lowering-.f32`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	328	1934
1	1106	1809
2	3244	1734
0	8846	1734
0	66	513
1	210	513
2	629	513
3	1850	495
4	5619	495
0	8190	495
0	11	28
1	70	26
2	669	26
0	8433	26
0	6	7
1	12	7
2	23	7
3	46	7
4	92	7
5	227	7
6	654	7
7	1200	6
8	2087	6
9	2656	6
10	2806	6
0	2806	6

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

Compiler

Compiled 147 to 86 computations (41.5% saved)

preprocess75.0ms (1%)

Compiler: Compiled 184 to 88 computations (52.2% saved)

analyze0.0ms (0%)

sample806.0ms (10.5%)

preprocess193.0ms (2.5%)

explain105.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify69.0ms (0.9%)

localize62.0ms (0.8%)

series6.0ms (0.1%)

rewrite336.0ms (4.4%)

simplify168.0ms (2.2%)

eval83.0ms (1.1%)

prune53.0ms (0.7%)

simplify226.0ms (2.9%)

localize185.0ms (2.4%)

series12.0ms (0.2%)

rewrite452.0ms (5.9%)

simplify366.0ms (4.8%)

eval167.0ms (2.2%)

prune140.0ms (1.8%)

simplify218.0ms (2.8%)

localize409.0ms (5.3%)

series21.0ms (0.3%)

rewrite421.0ms (5.5%)

simplify264.0ms (3.4%)

eval172.0ms (2.2%)

prune125.0ms (1.6%)

simplify152.0ms (2%)

localize321.0ms (4.2%)

series12.0ms (0.2%)

rewrite324.0ms (4.2%)

simplify163.0ms (2.1%)

eval181.0ms (2.4%)

prune78.0ms (1%)

regimes26.0ms (0.3%)

regimes32.0ms (0.4%)

regimes12.0ms (0.2%)

regimes7.0ms (0.1%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes3.0ms (0%)

bsearch21.0ms (0.3%)

bsearch46.0ms (0.6%)

bsearch30.0ms (0.4%)

simplify10.0ms (0.1%)

soundness1.1s (14.6%)

preprocess75.0ms (1%)

end0.0ms (0%)

Profiling