Metrics for Codec.Picture.Types:toneMapping from JuicyPixels-3.2.6.1

analyze36.0ms (0.5%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
25%	25%	74.9%	0.1%	0%	0%	0%	3
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	4
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	5
65.6%	65.6%	34.3%	0.1%	0%	0%	0%	6
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	7
82%	82%	18%	0.1%	0%	0%	0%	8
87.9%	87.8%	12.1%	0.1%	0%	0%	0%	9
90.8%	90.7%	9.2%	0.1%	0%	0%	0%	10
93.8%	93.8%	6.1%	0.1%	0%	0%	0%	11
95.4%	95.3%	4.6%	0.1%	0%	0%	0%	12

Compiler

Compiled 14 to 9 computations (35.7% saved)

Precisions

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

ival-div: 4.0ms (30.8% of total)

ival-add: 4.0ms (30.8% of total)

ival-mult: 4.0ms (30.8% of total)

const: 0.0ms (0% of total)

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

sample959.0ms (12.6%)

Results

598.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 368.0ms

ival-div: 180.0ms (48.9% of total)

ival-add: 110.0ms (29.9% of total)

ival-mult: 64.0ms (17.4% of total)

const: 12.0ms (3.3% of total)

backward-pass: 3.0ms (0.8% of total)

Bogosity

preprocess175.0ms (2.3%)

Algorithm

2×	egg-herbie

Rules

1534×	`fnmsub-define`
1504×	`fmsub-define`
1444×	`sum4-define`
1260×	`fnmadd-define`
1170×	`fmm-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	76
1	92	66
2	240	60
3	783	60
4	2272	60
5	5858	60
0	8	11
1	21	10
2	34	10
3	66	10
4	110	10
5	186	10
6	285	10
7	332	10
8	339	10
9	359	10
10	363	10
11	364	10
12	365	10
13	367	10
14	375	10
0	375	10

Stop Event

1×	iter limit
1×	saturated
1×	node limit

Calls

Call 1

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

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

Call 2

Inputs
(/ (* x (+ (/ x y) 1)) (+ x 1))
(/ (* (neg x) (+ (/ (neg x) y) 1)) (+ (neg x) 1))
(/ (* x (+ (/ x (neg y)) 1)) (+ x 1))
(neg (/ (* (neg x) (+ (/ (neg x) y) 1)) (+ (neg x) 1)))
(neg (/ (* x (+ (/ x (neg y)) 1)) (+ x 1)))
(/ (* y (+ (/ y x) 1)) (+ y 1))

Outputs
(/ (* x (+ (/ x y) 1)) (+ x 1))
(/ (fma x (/ x y) x) (+ x 1))
(/ (* (neg x) (+ (/ (neg x) y) 1)) (+ (neg x) 1))
(/ (fmsub x (/ x y) x) (- 1 x))
(/ (* x (+ (/ x (neg y)) 1)) (+ x 1))
(/ (fmsub x (/ x y) x) (- -1 x))
(neg (/ (* (neg x) (+ (/ (neg x) y) 1)) (+ (neg x) 1)))
(/ (fmsub x (/ x y) x) (+ x -1))
(neg (/ (* x (+ (/ x (neg y)) 1)) (+ x 1)))
(/ (fmsub x (/ x y) x) (+ x 1))
(/ (* y (+ (/ y x) 1)) (+ y 1))
(/ (fma y (/ y x) y) (+ y 1))

explain84.0ms (1.1%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
30	-	-	`(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))`
0	-	-	`x`
0	-	-	`(+.f64 (/.f64 x y) #s(literal 1 binary64))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`y`
0	-	-	`(*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64)))`
0	-	-	`(/.f64 x y)`
0	-	-	`(+.f64 x #s(literal 1 binary64))`

Results

52.0ms

512×

valid

Compiler

Compiled 83 to 26 computations (68.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-div: 8.0ms (38.1% of total)

ival-mult: 6.0ms (28.6% of total)

ival-add: 5.0ms (23.8% of total)

const: 1.0ms (4.8% of total)

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

eval0.0ms (0%)

Compiler: Compiled 13 to 8 computations (38.5% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	88.9%	(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
▶	99.9%	(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))))

Compiler

Compiled 26 to 16 computations (38.5% saved)

simplify20.0ms (0.3%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

166×	`-lowering-.f32`
166×	`-lowering-.f64`
144×	`fma-define`
126×	`times-frac`
92×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	62
1	25	59
2	44	59
3	90	59
4	161	59
5	297	59
6	380	59
7	401	59
8	405	59
9	406	59
10	407	59
11	409	59
12	417	59
0	417	59

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize52.0ms (0.7%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (/.f64 x y) #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	99.9%	(*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64)))
✓	accuracy	89.0%	(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
✓	accuracy	100.0%	(+.f64 (/.f64 x y) #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 x (+.f64 x #s(literal 1 binary64)))
✓	accuracy	99.9%	(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))))

Results

35.0ms

256×

valid

Compiler

Compiled 65 to 11 computations (83.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-div: 6.0ms (34.7% of total)

ival-add: 6.0ms (34.7% of total)

ival-mult: 5.0ms (28.9% of total)

const: 1.0ms (5.8% of total)

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

series10.0ms (0.1%)

Counts

7 → 144

Calls

Call 1

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

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

Calls

36 calls:

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

rewrite657.0ms (8.6%)

Algorithm

1×	batch-egg-rewrite

Rules

3702×	`-lowering-.f32`
3702×	`-lowering-.f64`
3236×	`/-lowering-/.f32`
3236×	`/-lowering-/.f64`
2074×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	45
1	65	42
2	546	42
3	6944	42
0	8376	42

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 645

Calls

Call 1

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

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

simplify308.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

3138×	`-lowering-.f32`
3138×	`-lowering-.f64`
2048×	`+-lowering-+.f64`
2048×	`+-lowering-+.f32`
1394×	`--lowering--.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	112	1142
1	335	1099
2	949	960
3	4735	948
0	8490	948

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

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

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

eval181.0ms (2.4%)

Compiler: Compiled 22462 to 1638 computations (92.7% saved)

prune99.0ms (1.3%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	1008	11	1019
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	1010	11	1021

Accuracy

100.0%

Counts

1021 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	36.2%	(/.f64 (/.f64 (*.f64 x x) y) (+.f64 x #s(literal 1 binary64)))
▶	50.8%	(/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) y)
	88.9%	(/.f64 (+.f64 (/.f64 x (/.f64 y x)) x) (+.f64 x #s(literal 1 binary64)))
	69.9%	(/.f64 (.f64 (+.f64 (/.f64 x (/.f64 y (/.f64 x y))) #s(literal -1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal -1 binary64))) x)) (+.f64 x #s(literal 1 binary64)))
▶	99.9%	(/.f64 x (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64))))
▶	49.5%	(/.f64 x (+.f64 x #s(literal 1 binary64)))
	39.0%	(/.f64 x y)
	53.4%	(*.f64 (/.f64 x y) (/.f64 x (+.f64 x #s(literal 1 binary64))))
▶	52.9%	(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) x)
	50.6%	(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))
▶	36.8%	x

Compiler

Compiled 234 to 146 computations (37.6% saved)

simplify26.0ms (0.3%)

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

Rules

246×	`-lowering-.f32`
246×	`-lowering-.f64`
214×	`times-frac`
184×	`fma-define`
132×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	86
1	24	86
2	52	83
3	95	83
4	187	83
5	380	83
6	525	83
7	595	83
8	622	83
9	624	83
0	624	83

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize69.0ms (0.9%)

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
✓	accuracy	99.9%	(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
✓	accuracy	93.9%	(/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) y)
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(+.f64 (/.f64 x y) #s(literal 1 binary64))
✓	accuracy	99.9%	(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) x)
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 x (+.f64 x #s(literal 1 binary64)))
✓	accuracy	100.0%	(+.f64 (/.f64 x y) #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	99.9%	(/.f64 x (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64))))
✓	accuracy	89.7%	(/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64)))

Results

44.0ms	255×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 93 to 15 computations (83.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-div: 13.0ms (65.8% of total)

ival-add: 4.0ms (20.3% of total)

ival-mult: 2.0ms (10.1% of total)

const: 0.0ms (0% of total)

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

series9.0ms (0.1%)

Counts

11 → 204

Calls

Call 1

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

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

Calls

51 calls:

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

rewrite287.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

4420×	`-lowering-.f32`
4420×	`-lowering-.f64`
4128×	`/-lowering-/.f32`
4128×	`/-lowering-/.f64`
1488×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	63
1	100	63
2	845	60
0	8834	60

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 651

Calls

Call 1

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

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

simplify295.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

4024×	`+-lowering-+.f64`
4024×	`+-lowering-+.f32`
3298×	`-lowering-.f32`
3298×	`-lowering-.f64`
1204×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	294	1657
1	984	1554
2	3231	1434
0	8397	1434

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

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

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

eval176.0ms (2.3%)

Compiler: Compiled 18802 to 2220 computations (88.2% saved)

prune185.0ms (2.4%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	1036	11	1047
Fresh	3	3	6
Picked	3	2	5
Done	0	0	0
Total	1042	16	1058

Accuracy

100.0%

Counts

1058 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	36.2%	(/.f64 (/.f64 (*.f64 x x) y) (+.f64 x #s(literal 1 binary64)))
	38.5%	(/.f64 (+.f64 x #s(literal -1 binary64)) y)
	50.8%	(/.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64)))) y)
▶	17.3%	(/.f64 (*.f64 x x) y)
▶	53.4%	(/.f64 x (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
▶	52.8%	(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64))))
	53.3%	(/.f64 x (+.f64 y (/.f64 y x)))
✓	49.5%	(/.f64 x (+.f64 x #s(literal 1 binary64)))
	39.0%	(/.f64 x y)
	52.9%	(+.f64 (/.f64 x (/.f64 y x)) x)
▶	52.9%	(*.f64 (/.f64 (+.f64 x y) y) x)
	19.9%	(*.f64 (/.f64 x y) x)
	43.7%	(.f64 (+.f64 (/.f64 x (/.f64 y (/.f64 x y))) #s(literal -1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal -1 binary64))) x))
	50.6%	(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	36.8%	x
▶	15.2%	#s(literal 1 binary64)

Compiler

Compiled 290 to 175 computations (39.7% saved)

simplify500.0ms (6.6%)

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	0	(+.f64 (/.f64 x y) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64)))
✓	cost-diff	128	(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64))))
✓	cost-diff	0	(+.f64 x y)
✓	cost-diff	0	(/.f64 (+.f64 x y) y)
✓	cost-diff	0	(*.f64 (/.f64 (+.f64 x y) y) x)
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(/.f64 (*.f64 x x) y)
✓	cost-diff	13184	(*.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)))
✓	cost-diff	13184	(+.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64))) #s(literal 1 binary64))
✓	cost-diff	13184	(/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
✓	cost-diff	13184	(/.f64 x (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64))) #s(literal 1 binary64))))

Rules

6274×	`-lowering-.f32`
6274×	`-lowering-.f64`
2206×	`fma-define`
1818×	`/-lowering-/.f32`
1818×	`/-lowering-/.f64`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	20	109
1	40	109
2	67	102
3	134	94
4	282	94
5	539	92
6	822	91
7	1854	90
8	3512	90
9	4815	90
10	6040	90
11	6722	90
12	7638	90
0	8029	90

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize112.0ms (1.5%)

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(+.f64 (/.f64 x y) #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64)))
✓	accuracy	99.9%	(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64))))
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(/.f64 (+.f64 x y) y)
✓	accuracy	99.9%	(*.f64 (/.f64 (+.f64 x y) y) x)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	94.7%	(/.f64 (*.f64 x x) y)
✓	accuracy	100.0%	(/.f64 x (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
✓	accuracy	99.7%	(*.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)))
✓	accuracy	94.8%	(/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
✓	accuracy	88.9%	(pow.f64 (/.f64 y x) #s(literal -1/2 binary64))

Results

30.0ms	120×	0	valid
25.0ms	136×	0	invalid

Compiler

Compiled 133 to 21 computations (84.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-div: 13.0ms (45.7% of total)

ival-add: 6.0ms (21.1% of total)

ival-mult: 5.0ms (17.6% of total)

ival-pow: 4.0ms (14.1% of total)

const: 1.0ms (3.5% of total)

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

series22.0ms (0.3%)

Counts

14 → 324

Calls

Call 1

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

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

Calls

81 calls:

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

rewrite266.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

3488×	`/-lowering-/.f32`
3488×	`/-lowering-/.f64`
3412×	`-lowering-.f32`
3412×	`-lowering-.f64`
1382×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	90
1	140	77
2	1135	75
0	8672	75

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 667

Calls

Call 1

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

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

simplify250.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

3258×	`-lowering-.f32`
3258×	`-lowering-.f64`
1808×	`+-lowering-+.f64`
1808×	`+-lowering-+.f32`
1332×	`--lowering--.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	347	2360
1	1166	2165
2	4076	2105
0	8637	2105

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 324

Calls

Call 1

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

Outputs
x
(* x (+ 1 (* x (- (/ 1 y) 1))))
(*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 x y) x)))
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 (-.f64 x (/.f64 x y)) #s(literal -1 binary64))))))
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (*.f64 x (+.f64 (-.f64 (/.f64 x y) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))))))))
(/ x y)
(/.f64 x y)
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) x)))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x y)))))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 x x)))) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))) y)))))))
(* -1 (/ (* x (pow (sqrt -1) 2)) y))
(/.f64 x y)
(* -1 (* x (+ (* -1 (/ (+ 1 (/ (pow (sqrt -1) 2) y)) x)) (/ (pow (sqrt -1) 2) y))))
(+.f64 (/.f64 x y) (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) x)))
(* -1 (* x (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (/ (pow (sqrt -1) 2) y)) x)) (/ (pow (sqrt -1) 2) y))) x)) (/ (pow (sqrt -1) 2) y))))
(+.f64 (/.f64 x y) (*.f64 x (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)) x)))
(* -1 (* x (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (/ (pow (sqrt -1) 2) y)) x)) (/ (pow (sqrt -1) 2) y))) x)) (/ (pow (sqrt -1) 2) y))) x)) (/ (pow (sqrt -1) 2) y))))
(+.f64 (/.f64 x y) (*.f64 x (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)) x))) x)))
(/ (pow x 2) (* y (+ 1 x)))
(/.f64 (.f64 x x) (.f64 y (+.f64 x #s(literal 1 binary64))))
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (+.f64 (.f64 y (/.f64 x (+.f64 x #s(literal 1 binary64)))) (.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64))))) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (+.f64 (.f64 y (/.f64 x (+.f64 x #s(literal 1 binary64)))) (.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64))))) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (+.f64 (.f64 y (/.f64 x (+.f64 x #s(literal 1 binary64)))) (.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64))))) y)
(/ x (+ 1 x))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+.f64 (/.f64 (.f64 x x) (.f64 y (+.f64 x #s(literal 1 binary64)))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+.f64 (/.f64 (.f64 x x) (.f64 y (+.f64 x #s(literal 1 binary64)))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+.f64 (/.f64 (.f64 x x) (.f64 y (+.f64 x #s(literal 1 binary64)))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(/ x (+ 1 x))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(+ (* -1 (/ (* (pow x 2) (pow (sqrt -1) 2)) (* y (+ 1 x)))) (/ x (+ 1 x)))
(+.f64 (/.f64 (.f64 x x) (.f64 y (+.f64 x #s(literal 1 binary64)))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(+ (* -1 (/ (* (pow x 2) (pow (sqrt -1) 2)) (* y (+ 1 x)))) (/ x (+ 1 x)))
(+.f64 (/.f64 (.f64 x x) (.f64 y (+.f64 x #s(literal 1 binary64)))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(+ (* -1 (/ (* (pow x 2) (pow (sqrt -1) 2)) (* y (+ 1 x)))) (/ x (+ 1 x)))
(+.f64 (/.f64 (.f64 x x) (.f64 y (+.f64 x #s(literal 1 binary64)))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* x (- 1 (/ 1 y))))
(+.f64 #s(literal 1 binary64) (-.f64 x (/.f64 x y)))
(+ 1 (* x (- (+ 1 (* x (- (/ 1 (pow y 2)) (/ 1 y)))) (/ 1 y))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 (/.f64 (/.f64 x y) y) (/.f64 x y)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))))
(+ 1 (* x (- (+ 1 (* x (- (+ (* x (- (/ 1 (pow y 2)) (/ 1 (pow y 3)))) (/ 1 (pow y 2))) (/ 1 y)))) (/ 1 y))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (+.f64 (-.f64 (/.f64 (/.f64 x y) y) (/.f64 x (.f64 y (*.f64 y y)))) (/.f64 #s(literal -1 binary64) y)))) (/.f64 #s(literal -1 binary64) y)))))
y
(- (+ y (/ y x)) (/ (pow y 2) x))
(+.f64 y (/.f64 (-.f64 y (*.f64 y y)) x))
(- (+ y (+ (* -1 (/ (* y (- y (pow y 2))) (pow x 2))) (/ y x))) (/ (pow y 2) x))
(+.f64 (-.f64 y (.f64 (/.f64 y x) (/.f64 (-.f64 y (.f64 y y)) x))) (/.f64 (-.f64 y (*.f64 y y)) x))
(- (+ y (+ (/ y x) (/ (* (pow y 2) (- y (pow y 2))) (pow x 3)))) (+ (/ (* y (- y (pow y 2))) (pow x 2)) (/ (pow y 2) x)))
(+.f64 y (+.f64 (.f64 (-.f64 y (.f64 y y)) (/.f64 (.f64 y y) (.f64 x (.f64 x x)))) (+.f64 (/.f64 (.f64 y (-.f64 y (.f64 y y))) (-.f64 #s(literal 0 binary64) (.f64 x x))) (/.f64 (-.f64 y (*.f64 y y)) x))))
(* -1 (/ y (pow (sqrt -1) 2)))
y
(+ (* -1 (/ y (pow (sqrt -1) 2))) (* -1 (/ (- (/ y (pow (sqrt -1) 2)) (* -1 (/ (pow y 2) (pow (sqrt -1) 4)))) x)))
(+.f64 y (/.f64 (-.f64 y (/.f64 (*.f64 y y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) x))
(+ (* -1 (/ y (pow (sqrt -1) 2))) (* -1 (/ (- (+ (/ y (pow (sqrt -1) 2)) (/ (* y (- (/ y (pow (sqrt -1) 2)) (* -1 (/ (pow y 2) (pow (sqrt -1) 4))))) (* x (pow (sqrt -1) 2)))) (* -1 (/ (pow y 2) (pow (sqrt -1) 4)))) x)))
(+.f64 y (/.f64 (+.f64 y (neg.f64 (+.f64 (/.f64 (.f64 y (-.f64 y (/.f64 (.f64 y y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) x) (/.f64 (*.f64 y y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))) x))
(+ (* -1 (/ y (pow (sqrt -1) 2))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow y 2) (- (/ y (pow (sqrt -1) 2)) (* -1 (/ (pow y 2) (pow (sqrt -1) 4))))) (* x (pow (sqrt -1) 4)))) (/ (* y (- (/ y (pow (sqrt -1) 2)) (* -1 (/ (pow y 2) (pow (sqrt -1) 4))))) (pow (sqrt -1) 2))) x)) (/ y (pow (sqrt -1) 2))) (* -1 (/ (pow y 2) (pow (sqrt -1) 4)))) x)))
(-.f64 y (/.f64 (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 (.f64 y y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (/.f64 (-.f64 (.f64 (-.f64 y (/.f64 (.f64 y y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (/.f64 (.f64 y y) (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (.f64 y (-.f64 y (/.f64 (*.f64 y y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))) x)) x))
(/ (* y (+ 1 x)) x)
(/.f64 (*.f64 y (+.f64 x #s(literal 1 binary64))) x)
(* y (+ 1 (+ (* -1 (* y (+ (/ 1 x) (/ 1 (pow x 2))))) (/ 1 x))))
(.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 y x) (/.f64 y (.f64 x x))))))
(* y (+ 1 (+ (* y (- (/ (* y (+ (/ 1 x) (/ 1 (pow x 2)))) x) (+ (/ 1 x) (/ 1 (pow x 2))))) (/ 1 x))))
(.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 (/.f64 (+.f64 (/.f64 y x) (/.f64 y (.f64 x x))) x) (+.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 #s(literal -1 binary64) x)))))))
(* y (+ 1 (+ (* y (- (* y (- (* -1 (* y (+ (/ 1 (pow x 3)) (/ 1 (pow x 4))))) (* -1 (/ (+ (/ 1 x) (/ 1 (pow x 2))) x)))) (+ (/ 1 x) (/ 1 (pow x 2))))) (/ 1 x))))
(.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 y (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 x x))) x) (+.f64 (/.f64 y (.f64 x (.f64 x (.f64 x x)))) (/.f64 y (.f64 x (.f64 x x)))))) (+.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 #s(literal -1 binary64) x)))))))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (+ x (* -1 (/ (* x (+ 1 x)) y))))
(+.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (*.f64 x (-.f64 #s(literal -1 binary64) x)) y))
(- (+ 1 (+ x (/ (* (pow x 2) (+ 1 x)) (pow y 2)))) (/ (* x (+ 1 x)) y))
(+.f64 (/.f64 (.f64 x (-.f64 #s(literal -1 binary64) x)) y) (+.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (.f64 x (.f64 x (+.f64 x #s(literal 1 binary64)))) (.f64 y y))))
(- (+ 1 (+ x (* -1 (/ (* (pow x 3) (+ 1 x)) (pow y 3))))) (+ (* -1 (/ (* (pow x 2) (+ 1 x)) (pow y 2))) (/ (* x (+ 1 x)) y)))
(+.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (.f64 x (.f64 x x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (.f64 y y))))) (+.f64 (/.f64 (.f64 x (-.f64 #s(literal -1 binary64) x)) y) (/.f64 (.f64 x (.f64 x (+.f64 x #s(literal 1 binary64)))) (*.f64 y y))))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (+ x (/ (* x (* (pow (sqrt -1) 2) (+ 1 x))) y)))
(+.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (*.f64 x (-.f64 #s(literal -1 binary64) x)) y))
(+ 1 (+ x (* -1 (/ (- (* -1 (/ (* (pow x 2) (* (pow (sqrt -1) 4) (+ 1 x))) y)) (* x (* (pow (sqrt -1) 2) (+ 1 x)))) y))))
(+.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 (.f64 (.f64 x x) (.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) y))) (.f64 x (-.f64 #s(literal -1 binary64) x))) y))
(+ 1 (+ x (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (* (pow (sqrt -1) 6) (+ 1 x))) y) (* -1 (* (pow x 2) (* (pow (sqrt -1) 4) (+ 1 x))))) y)) (* x (* (pow (sqrt -1) 2) (+ 1 x)))) y))))
(+.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 x x) (.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)) y)))) y) (.f64 x (-.f64 #s(literal -1 binary64) x))) y))
(/ x y)
(/.f64 x y)
(/ (+ x y) y)
(/.f64 (+.f64 x y) y)
(/ (+ x y) y)
(/.f64 (+.f64 x y) y)
(/ (+ x y) y)
(/.f64 (+.f64 x y) y)
1
#s(literal 1 binary64)
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (* x (pow (sqrt -1) 2)) y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (* -1 (/ (* x (pow (sqrt -1) 2)) y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (* -1 (/ (* x (pow (sqrt -1) 2)) y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
1
#s(literal 1 binary64)
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(/ x y)
(/.f64 x y)
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(* -1 (/ (* x (pow (sqrt -1) 2)) y))
(/.f64 x y)
(* -1 (* x (- (/ (pow (sqrt -1) 2) y) (/ 1 x))))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(* -1 (* x (- (/ (pow (sqrt -1) 2) y) (/ 1 x))))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(* -1 (* x (- (/ (pow (sqrt -1) 2) y) (/ 1 x))))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(/ x y)
(/.f64 x y)
(/ x y)
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(/ x y)
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(/ x y)
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(/ x y)
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(/ x y)
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(/ x y)
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(* -1 (/ (* x (pow (sqrt -1) 2)) y))
(/.f64 x y)
(* -1 (/ (* x (pow (sqrt -1) 2)) y))
(/.f64 x y)
(* -1 (/ (* x (pow (sqrt -1) 2)) y))
(/.f64 x y)
(* -1 (/ (* x (pow (sqrt -1) 2)) y))
(/.f64 x y)
(/ x y)
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(* -1 (/ (* x (pow (sqrt -1) 2)) y))
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(/.f64 x y)
(* -1 (/ (* x (pow (sqrt -1) 2)) y))
(/.f64 x y)
(* -1 (/ (* x (pow (sqrt -1) 2)) y))
(/.f64 x y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
x
(* x (+ 1 (/ x y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(* x (+ 1 (/ x y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(* x (+ 1 (/ x y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (+ (* x y) (pow x 2)) y)
(/.f64 (*.f64 x (+.f64 x y)) y)
(/ (+ (* x y) (pow x 2)) y)
(/.f64 (*.f64 x (+.f64 x y)) y)
(/ (+ (* x y) (pow x 2)) y)
(/.f64 (*.f64 x (+.f64 x y)) y)
x
(+ x (/ (pow x 2) y))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(+ x (/ (pow x 2) y))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(+ x (/ (pow x 2) y))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y)))
x
(+ x (/ (pow x 2) y))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(+ x (/ (pow x 2) y))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(+ x (/ (pow x 2) y))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y)))
1
#s(literal 1 binary64)
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(/ x y)
(/.f64 x y)
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(/ x y)
(/.f64 x y)
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(/ x y)
(/.f64 x y)
(/ (+ x y) y)
(/.f64 (+.f64 x y) y)
(/ (+ x y) y)
(/.f64 (+.f64 x y) y)
(/ (+ x y) y)
(/.f64 (+.f64 x y) y)
1
#s(literal 1 binary64)
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
1
#s(literal 1 binary64)
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (/ x y))
(+.f64 #s(literal 1 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 (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(* x (+ 1 (/ y x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(* x (+ 1 (/ y x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (-.f64 #s(literal 0 binary64) x))
x
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
y
(* y (+ 1 (/ x y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(* y (+ 1 (/ x y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(* y (+ 1 (/ x y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
x
(* x (+ 1 (/ x y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(* x (+ 1 (/ x y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(* x (+ 1 (/ x y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (+ (* x y) (pow x 2)) y)
(/.f64 (*.f64 x (+.f64 x y)) y)
(/ (+ (* x y) (pow x 2)) y)
(/.f64 (*.f64 x (+.f64 x y)) y)
(/ (+ (* x y) (pow x 2)) y)
(/.f64 (*.f64 x (+.f64 x y)) y)
x
(+ x (/ (pow x 2) y))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(+ x (/ (pow x 2) y))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(+ x (/ (pow x 2) y))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y)))
x
(+ x (/ (pow x 2) y))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(+ x (/ (pow x 2) y))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(+ x (/ (pow x 2) y))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (* x (- (/ x (pow y 2)) (/ 1 y))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x x) y) x) y))
(+ 1 (* x (- (* x (+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (/.f64 x (.f64 y (*.f64 y y))))) (/.f64 #s(literal -1 binary64) y))))
(/ y x)
(/.f64 y x)
(/ (+ y (* -1 (/ (pow y 2) x))) x)
(/.f64 (-.f64 y (/.f64 (*.f64 y y) x)) x)
(/ (- (+ y (/ (pow y 3) (pow x 2))) (/ (pow y 2) x)) x)
(/.f64 (+.f64 y (/.f64 (-.f64 (/.f64 (.f64 y (.f64 y y)) x) (*.f64 y y)) x)) x)
(/ (- (+ y (* -1 (/ (pow y 4) (pow x 3)))) (+ (* -1 (/ (pow y 3) (pow x 2))) (/ (pow y 2) x))) x)
(/.f64 (+.f64 (-.f64 y (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 x (.f64 x x)))) (/.f64 (-.f64 (/.f64 (.f64 y (.f64 y y)) x) (*.f64 y y)) x)) x)
(/ y x)
(/.f64 y x)
(* -1 (/ (+ (* -1 y) (/ (pow y 2) x)) x))
(/.f64 (-.f64 y (/.f64 (*.f64 y y) x)) x)
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x))) x))
(/.f64 (+.f64 y (/.f64 (-.f64 (/.f64 (.f64 y (.f64 y y)) x) (*.f64 y y)) x)) x)
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) x) (pow y 3)) x)) (pow y 2)) x))) x))
(/.f64 (+.f64 y (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) (.f64 y (.f64 y y))) (-.f64 #s(literal 0 binary64) x)) (*.f64 y y)) x)) x)
(/ y x)
(/.f64 y x)
(* y (+ (* -1 (/ y (pow x 2))) (/ 1 x)))
(.f64 y (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y (.f64 x x))))
(* y (+ (* y (- (/ y (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x)))
(.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 y (.f64 x (*.f64 x x)))))))
(* y (+ (* y (- (* y (+ (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)))
(.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 (.f64 y (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 y (.f64 x (.f64 x (.f64 x x)))))) (/.f64 #s(literal -1 binary64) (*.f64 x x))))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(- (+ 1 (/ (pow x 2) (pow y 2))) (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x x) y) x) y))
(- (+ 1 (* -1 (/ (pow x 3) (pow y 3)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 (.f64 x x) (/.f64 (.f64 x (*.f64 x x)) y)) y) x) y))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) (* -1 x)) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x x) y) x) y))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y)) (* -1 x)) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 (.f64 x x) (/.f64 (.f64 x (*.f64 x x)) y)) y) x) y))
1
#s(literal 1 binary64)
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(/ x y)
(/.f64 x y)
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(/ x y)
(/.f64 x y)
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(/ x y)
(/.f64 x y)
(/ (+ x y) y)
(/.f64 (+.f64 x y) y)
(/ (+ x y) y)
(/.f64 (+.f64 x y) y)
(/ (+ x y) y)
(/.f64 (+.f64 x y) y)
1
#s(literal 1 binary64)
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
1
#s(literal 1 binary64)
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.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)
(/ x y)
(/.f64 x y)
(sqrt (/ x y))
(sqrt.f64 (/.f64 x y))
(sqrt (/ x y))
(sqrt.f64 (/.f64 x y))
(sqrt (/ x y))
(sqrt.f64 (/.f64 x y))
(sqrt (/ x y))
(sqrt.f64 (/.f64 x y))
(sqrt (/ x y))
(sqrt.f64 (/.f64 x y))
(sqrt (/ x y))
(sqrt.f64 (/.f64 x y))
(sqrt (/ x y))
(sqrt.f64 (/.f64 x y))
(sqrt (/ x y))
(sqrt.f64 (/.f64 x y))
(* (sqrt (/ x y)) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 x y)))
(* (sqrt (/ x y)) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 x y)))
(* (sqrt (/ x y)) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 x y)))
(* (sqrt (/ x y)) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 x y)))
(sqrt (/ x y))
(sqrt.f64 (/.f64 x y))
(sqrt (/ x y))
(sqrt.f64 (/.f64 x y))
(sqrt (/ x y))
(sqrt.f64 (/.f64 x y))
(sqrt (/ x y))
(sqrt.f64 (/.f64 x y))
(sqrt (/ x y))
(sqrt.f64 (/.f64 x y))
(sqrt (/ x y))
(sqrt.f64 (/.f64 x y))
(sqrt (/ x y))
(sqrt.f64 (/.f64 x y))
(sqrt (/ x y))
(sqrt.f64 (/.f64 x y))
(* -1 (* (sqrt (/ x y)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 x y))
(* -1 (* (sqrt (/ x y)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 x y))
(* -1 (* (sqrt (/ x y)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 x y))
(* -1 (* (sqrt (/ x y)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 x y))

eval123.0ms (1.6%)

Compiler: Compiled 17144 to 2299 computations (86.6% saved)

prune100.0ms (1.3%)

Pruning

16 alts after pruning (10 fresh and 6 done)

	Pruned	Kept	Total
New	1037	4	1041
Fresh	3	6	9
Picked	1	4	5
Done	0	2	2
Total	1041	16	1057

Accuracy

100.0%

Counts

1057 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	40.8%	(/.f64 (+.f64 x y) (/.f64 y x))
	38.5%	(/.f64 (+.f64 x #s(literal -1 binary64)) y)
▶	38.5%	(/.f64 (.f64 x x) (.f64 y (+.f64 x #s(literal 1 binary64))))
✓	17.3%	(/.f64 (*.f64 x x) y)
▶	19.9%	(/.f64 x (/.f64 y x))
	43.2%	(/.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 y x))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 x y) (/.f64 y (/.f64 x (/.f64 y x)))))))))
✓	52.8%	(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64))))
▶	53.3%	(/.f64 x (+.f64 y (/.f64 y x)))
✓	49.5%	(/.f64 x (+.f64 x #s(literal 1 binary64)))
▶	39.0%	(/.f64 x y)
✓	52.9%	(*.f64 (/.f64 (+.f64 x y) y) x)
	19.9%	(*.f64 (/.f64 x y) x)
	43.7%	(.f64 (+.f64 (/.f64 x (/.f64 y (/.f64 x y))) #s(literal -1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal -1 binary64))) x))
▶	50.6%	(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	36.8%	x
✓	15.2%	#s(literal 1 binary64)

Compiler

Compiled 276 to 162 computations (41.3% saved)

simplify301.0ms (4%)

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

Rules

5952×	`-lowering-.f32`
5952×	`-lowering-.f64`
3406×	`associate-/r/`
2488×	`/-lowering-/.f32`
2488×	`/-lowering-/.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	69
1	34	68
2	59	68
3	102	68
4	148	68
5	274	68
6	607	68
7	692	68
8	878	68
9	2123	68
10	2507	68
11	2723	68
12	2786	68
13	2850	68
14	3041	68
15	3889	68
16	4197	68
17	4522	68
18	4794	68
19	5144	68
20	5632	68
21	6181	68
22	6457	68
23	6649	68
24	6785	68
25	6894	68
0	9104	68

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize94.0ms (1.2%)

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(*.f64 y (+.f64 x #s(literal 1 binary64)))
✓	accuracy	74.7%	(/.f64 (.f64 x x) (.f64 y (+.f64 x #s(literal 1 binary64))))
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(+.f64 (/.f64 x y) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 y x)
✓	accuracy	99.7%	(/.f64 x (/.f64 y x))
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(/.f64 y x)
✓	accuracy	100.0%	(+.f64 y (/.f64 y x))
✓	accuracy	99.8%	(/.f64 x (+.f64 y (/.f64 y x)))

Results

43.0ms

256×

valid

Compiler

Compiled 76 to 15 computations (80.3% saved)

Precisions

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

ival-div: 9.0ms (47.5% of total)

ival-mult: 5.0ms (26.4% of total)

ival-add: 4.0ms (21.1% of total)

const: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Counts

11 → 240

Calls

Call 1

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

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

Calls

60 calls:

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

rewrite315.0ms (4.1%)

Algorithm

1×	batch-egg-rewrite

Rules

4656×	`-lowering-.f32`
4656×	`-lowering-.f64`
4126×	`/-lowering-/.f32`
4126×	`/-lowering-/.f64`
1416×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	53
1	98	51
2	783	51
0	8661	51

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 619

Calls

Call 1

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

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

simplify266.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

2174×	`-lowering-.f32`
2174×	`-lowering-.f64`
1774×	`fnmadd-define`
1516×	`--lowering--.f32`
1516×	`--lowering--.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	73	1271
1	235	1185
2	663	1165
3	2134	1131
4	7439	1131
0	8073	1131

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

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

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

eval104.0ms (1.4%)

Compiler: Compiled 14835 to 1581 computations (89.3% saved)

prune129.0ms (1.7%)

Pruning

16 alts after pruning (6 fresh and 10 done)

	Pruned	Kept	Total
New	967	1	968
Fresh	0	5	5
Picked	1	4	5
Done	0	6	6
Total	968	16	984

Accuracy

100.0%

Counts

984 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	40.8%	(/.f64 (+.f64 x y) (/.f64 y x))
	38.5%	(/.f64 (+.f64 x #s(literal -1 binary64)) y)
✓	38.5%	(/.f64 (.f64 x x) (.f64 y (+.f64 x #s(literal 1 binary64))))
✓	17.3%	(/.f64 (*.f64 x x) y)
✓	19.9%	(/.f64 x (/.f64 y x))
	43.2%	(/.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 y x))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 x y) (/.f64 y (/.f64 x (/.f64 y x)))))))))
✓	52.8%	(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64))))
✓	53.3%	(/.f64 x (+.f64 y (/.f64 y x)))
✓	49.5%	(/.f64 x (+.f64 x #s(literal 1 binary64)))
✓	39.0%	(/.f64 x y)
	50.6%	(+.f64 (/.f64 x y) #s(literal 1 binary64))
✓	52.9%	(*.f64 (/.f64 (+.f64 x y) y) x)
	19.9%	(*.f64 (/.f64 x y) x)
	43.7%	(.f64 (+.f64 (/.f64 x (/.f64 y (/.f64 x y))) #s(literal -1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal -1 binary64))) x))
✓	36.8%	x
✓	15.2%	#s(literal 1 binary64)

Compiler

Compiled 425 to 158 computations (62.8% saved)

regimes32.0ms (0.4%)

Counts

29 → 1

Calls

Call 1

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

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

Calls

3 calls:

14.0ms	x
9.0ms	y
8.0ms	(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))

Results

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

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes14.0ms (0.2%)

Counts

21 → 3

Calls

Call 1

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

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

Calls

2 calls:

7.0ms	y
6.0ms	x

Results

Accuracy	Segments	Branch
96.6%	3	`x`
78.8%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts

11 → 3

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
96.6%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0.1%)

Counts

10 → 3

Calls

Call 1

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

Outputs
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(+.f64 (/.f64 x y) #s(literal 1 binary64))

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
84.7%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes28.0ms (0.4%)

Counts

5 → 3

Calls

Call 1

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

Outputs
(+.f64 (/.f64 x y) #s(literal 1 binary64))
x
(+.f64 (/.f64 x y) #s(literal 1 binary64))

Calls

1 calls:

27.0ms

Results

Accuracy	Segments	Branch
83.8%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts

4 → 3

Calls

Call 1

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

Outputs
(/.f64 x y)
x
(/.f64 x y)

Calls

2 calls:

2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
57.8%	6	`y`
71.6%	3	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Counts

2 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
x

Outputs
#s(literal 1 binary64)
x
#s(literal 1 binary64)

Calls

2 calls:

2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
38.7%	2	`y`
48.4%	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
#s(literal 1 binary64)

Outputs
#s(literal 1 binary64)

Calls

2 calls:

1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
15.2%	1	`y`
15.2%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch33.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	0.0016500256712570207	3.610725376506166e+21
13.0ms	-1.7920308634737858	-0.0010597825997573395

Results

20.0ms

304×

valid

Compiler

Compiled 360 to 240 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-div: 5.0ms (46.8% of total)

ival-add: 3.0ms (28.1% of total)

ival-mult: 2.0ms (18.7% of total)

const: 0.0ms (0% of total)

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

bsearch36.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	0.0016500256712570207	3.610725376506166e+21
15.0ms	-1.7920308634737858	-0.0010597825997573395

Results

19.0ms

304×

valid

Compiler

Compiled 360 to 259 computations (28.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-div: 5.0ms (46.8% of total)

ival-add: 3.0ms (28.1% of total)

ival-mult: 2.0ms (18.7% of total)

const: 0.0ms (0% of total)

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

bsearch26.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	6.157976926966182e-5	0.0016500256712570207
12.0ms	-176752595.4507492	-140542.41875012955

Results

16.0ms

240×

valid

Compiler

Compiled 258 to 192 computations (25.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-div: 4.0ms (47.2% of total)

ival-add: 2.0ms (23.6% of total)

ival-mult: 2.0ms (23.6% of total)

const: 0.0ms (0% of total)

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

bsearch26.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	6.157976926966182e-5	0.0016500256712570207
12.0ms	-1.7920308634737858	-0.0010597825997573395

Results

16.0ms

240×

valid

Compiler

Compiled 198 to 147 computations (25.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-div: 4.0ms (47.2% of total)

ival-add: 2.0ms (23.6% of total)

ival-mult: 2.0ms (23.6% of total)

const: 0.0ms (0% of total)

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

bsearch29.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	6.157976926966182e-5	0.0016500256712570207
12.0ms	-1.7920308634737858	-0.0010597825997573395

Results

15.0ms

240×

valid

Compiler

Compiled 168 to 117 computations (30.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-div: 4.0ms (48.6% of total)

ival-add: 2.0ms (24.3% of total)

ival-mult: 2.0ms (24.3% of total)

const: 0.0ms (0% of total)

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

bsearch35.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	0.0016500256712570207	3.610725376506166e+21
16.0ms	-3.901614833726167e-6	-1.2728630203217074e-18

Results

21.0ms

336×

valid

Compiler

Compiled 186 to 159 computations (14.5% saved)

Precisions

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

ival-div: 5.0ms (42.9% of total)

ival-add: 3.0ms (25.7% of total)

ival-mult: 3.0ms (25.7% of total)

const: 0.0ms (0% of total)

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

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

12×	`if-if-or-not_binary32`
6×	`*-commutative_binary64`
6×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	112
1	58	112

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 (+.f64 x y) y) x) (+.f64 (/.f64 x y) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) x) (+.f64 (/.f64 x y) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -6200000 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 3804640965202595/2305843009213693952 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 (/.f64 x y) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 3804640965202595/2305843009213693952 binary64)) x (+.f64 (/.f64 x y) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 x y) (if (<=.f64 x #s(literal 3112888062438487/2305843009213693952 binary64)) x (/.f64 x y)))
(if (<=.f64 x #s(literal -4486248158726163/1180591620717411303424 binary64)) #s(literal 1 binary64) (if (<=.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(literal 1 binary64)

Outputs
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 (+.f64 x y) y) x) (+.f64 (/.f64 x y) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 1 binary64)) (*.f64 x (/.f64 (+.f64 x y) y)) (+.f64 (/.f64 x y) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) x) (+.f64 (/.f64 x y) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 1 binary64)) (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 (/.f64 x y) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -6200000 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 3804640965202595/2305843009213693952 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 (/.f64 x y) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 3804640965202595/2305843009213693952 binary64)) x (+.f64 (/.f64 x y) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 x y) (if (<=.f64 x #s(literal 3112888062438487/2305843009213693952 binary64)) x (/.f64 x y)))
(if (<=.f64 x #s(literal -4486248158726163/1180591620717411303424 binary64)) #s(literal 1 binary64) (if (<=.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(literal 1 binary64)

soundness997.0ms (13.1%)

Rules

4656×	`-lowering-.f32`
4656×	`-lowering-.f64`
4126×	`/-lowering-/.f32`
4126×	`/-lowering-/.f64`
4024×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	294	1657
1	984	1554
2	3231	1434
0	8397	1434
0	112	1142
1	335	1099
2	949	960
3	4735	948
0	8490	948
0	14	53
1	98	51
2	783	51
0	8661	51
0	8	11
1	21	10
2	34	10
3	66	10
4	110	10
5	186	10
6	285	10
7	332	10
8	339	10
9	359	10
10	363	10
11	364	10
12	365	10
13	367	10
14	375	10
0	375	10

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 407 to 214 computations (47.4% saved)

preprocess100.0ms (1.3%)

Compiler: Compiled 320 to 104 computations (67.5% saved)

Iter	Nodes	Cost
0	10	62
1	25	59
2	44	59
3	90	59
4	161	59
5	297	59
6	380	59
7	401	59
8	405	59
9	406	59
10	407	59
11	409	59
12	417	59
0	417	59

Iter	Nodes	Cost
0	14	86
1	24	86
2	52	83
3	95	83
4	187	83
5	380	83
6	525	83
7	595	83
8	622	83
9	624	83
0	624	83

Iter	Nodes	Cost
0	10	62
1	25	59
2	44	59
3	90	59
4	161	59
5	297	59
6	380	59
7	401	59
8	405	59
9	406	59
10	407	59
11	409	59
12	417	59
0	417	59

Iter	Nodes	Cost
0	14	86
1	24	86
2	52	83
3	95	83
4	187	83
5	380	83
6	525	83
7	595	83
8	622	83
9	624	83
0	624	83

analyze36.0ms (0.5%)

sample959.0ms (12.6%)

preprocess175.0ms (2.3%)

explain84.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify20.0ms (0.3%)

localize52.0ms (0.7%)

series10.0ms (0.1%)

rewrite657.0ms (8.6%)

simplify308.0ms (4.1%)

eval181.0ms (2.4%)

prune99.0ms (1.3%)

simplify26.0ms (0.3%)

localize69.0ms (0.9%)

series9.0ms (0.1%)

rewrite287.0ms (3.8%)

simplify295.0ms (3.9%)

eval176.0ms (2.3%)

prune185.0ms (2.4%)

simplify500.0ms (6.6%)

localize112.0ms (1.5%)

series22.0ms (0.3%)

rewrite266.0ms (3.5%)

simplify250.0ms (3.3%)

eval123.0ms (1.6%)

prune100.0ms (1.3%)

simplify301.0ms (4%)

localize94.0ms (1.2%)

series7.0ms (0.1%)

rewrite315.0ms (4.1%)

simplify266.0ms (3.5%)

eval104.0ms (1.4%)

prune129.0ms (1.7%)

regimes32.0ms (0.4%)

regimes14.0ms (0.2%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes28.0ms (0.4%)

regimes5.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

bsearch33.0ms (0.4%)

bsearch36.0ms (0.5%)

bsearch26.0ms (0.3%)

bsearch26.0ms (0.3%)

bsearch29.0ms (0.4%)

bsearch35.0ms (0.5%)

simplify11.0ms (0.1%)

soundness997.0ms (13.1%)

preprocess100.0ms (1.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	10	62
1	25	59
2	44	59
3	90	59
4	161	59
5	297	59
6	380	59
7	401	59
8	405	59
9	406	59
10	407	59
11	409	59
12	417	59
0	417	59

Iter	Nodes	Cost
0	14	86
1	24	86
2	52	83
3	95	83
4	187	83
5	380	83
6	525	83
7	595	83
8	622	83
9	624	83
0	624	83