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

analyze35.0ms (0.4%)

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: 12.0ms

ival-div: 5.0ms (41.3% of total)

ival-add: 4.0ms (33.1% of total)

ival-mult: 3.0ms (24.8% of total)

const: 1.0ms (8.3% of total)

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

sample1.4s (15.3%)

Results

1.2s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 639.0ms

ival-div: 254.0ms (39.8% of total)

ival-add: 250.0ms (39.1% of total)

ival-mult: 119.0ms (18.6% of total)

const: 13.0ms (2% of total)

backward-pass: 3.0ms (0.5% of total)

Bogosity

preprocess78.0ms (0.9%)

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	786	60
4	2275	60
5	5856	60
0	8	11
1	21	10
2	34	10
3	67	10
4	111	10
5	187	10
6	285	10
7	328	10
8	335	10
9	355	10
10	359	10
11	360	10
12	361	10
13	363	10
14	371	10
0	371	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 x (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (+.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))
(/ (+ y (/ (square y) x)) (+ y 1))

explain97.0ms (1.1%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
33	-	-	`(/.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

59.0ms

512×

valid

Compiler

Compiled 83 to 26 computations (68.7% saved)

Precisions

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

ival-div: 8.0ms (41.1% of total)

ival-add: 6.0ms (30.8% of total)

ival-mult: 4.0ms (20.5% of total)

const: 1.0ms (5.1% 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
▶	87.9%	(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
▶	99.8%	(*.f64 x (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))

Compiler

Compiled 26 to 16 computations (38.5% saved)

simplify23.0ms (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 y)
✓	cost-diff	(+.f64 (/.f64 x y) #s(literal 1 binary64))
✓	cost-diff	(/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
✓	cost-diff	(*.f64 x (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))

Rules

166×	`-lowering-.f32`
166×	`-lowering-.f64`
140×	`fma-define`
96×	`associate-r`
92×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	66
1	22	63
2	34	63
3	67	63
4	111	63
5	187	63
6	282	63
7	330	63
8	337	63
9	357	63
10	361	63
11	362	63
12	363	63
13	365	63
14	373	63
0	373	63

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

localize96.0ms (1.1%)

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	87.9%	(/.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	99.7%	(*.f64 x (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
✓	accuracy	88.5%	(/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))

Results

79.0ms

256×

valid

Compiler

Compiled 69 to 11 computations (84.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-mult: 23.0ms (71.1% of total)

ival-div: 6.0ms (18.5% of total)

ival-add: 3.0ms (9.3% of total)

const: 0.0ms (0% of total)

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

series24.0ms (0.3%)

Counts

7 → 156

Calls

Call 1

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

39 calls:

Time	Variable		Point	Expression
14.0ms	x	@	0	(* x (/ (+ (/ x y) 1) (+ x 1)))
1.0ms	y	@	0	(* x (/ (+ (/ x y) 1) (+ x 1)))
1.0ms	y	@	0	(/ (+ (/ x y) 1) (+ x 1))
1.0ms	y	@	-inf	(* x (/ (+ (/ x y) 1) (+ x 1)))
1.0ms	y	@	inf	(* x (/ (+ (/ x y) 1) (+ x 1)))

rewrite297.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

4148×	`-lowering-.f32`
4148×	`-lowering-.f64`
3888×	`/-lowering-/.f32`
3888×	`/-lowering-/.f64`
1518×	`frac-times`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	49
1	63	46
2	518	46
0	8341	46

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 615

Calls

Call 1

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

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

simplify229.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

3182×	`-lowering-.f32`
3182×	`-lowering-.f64`
1924×	`+-lowering-+.f64`
1924×	`+-lowering-+.f32`
1680×	`--lowering--.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	111	1360
1	335	1247
2	965	1124
3	4973	1106
0	8401	1106

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

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

eval116.0ms (1.3%)

Compiler: Compiled 22737 to 1827 computations (92% saved)

prune151.0ms (1.7%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	978	14	992
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	980	14	994

Accuracy

100.0%

Counts

994 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	66.1%	(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 y x)) y)) x) (-.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64)))
	57.5%	(/.f64 (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x (.f64 (/.f64 y (/.f64 x (/.f64 y x))) y)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 y x)))) (+.f64 x #s(literal 1 binary64)))
▶	34.3%	(/.f64 (/.f64 (*.f64 x x) y) (+.f64 x #s(literal 1 binary64)))
	48.9%	(/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) y)
	56.2%	(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64))
▶	99.9%	(/.f64 x (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64))))
▶	52.0%	(/.f64 x (+.f64 x #s(literal 1 binary64)))
	38.5%	(/.f64 x y)
	87.8%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64)))))
▶	51.1%	(+.f64 (/.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
	51.0%	(*.f64 x (/.f64 (/.f64 x y) (+.f64 x #s(literal 1 binary64))))
	52.0%	(*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
	38.3%	(*.f64 x (/.f64 #s(literal 1 binary64) y))
▶	38.3%	x

Compiler

Compiled 340 to 208 computations (38.8% saved)

simplify154.0ms (1.7%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

1716×	`fma-define`
1528×	`fnmadd-define`
1486×	`fnmsub-define`
1442×	`fmsub-define`
1416×	`sum4-define`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	15	85
1	29	85
2	64	85
3	126	83
4	222	83
5	455	83
6	1238	82
7	2637	82
8	6322	82
0	8021	82

Stop Event

1×	iter limit
1×	node limit

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

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

localize106.0ms (1.2%)

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	90.6%	(/.f64 (*.f64 x x) y)
✓	accuracy	87.9%	(/.f64 (/.f64 (*.f64 x x) y) (+.f64 x #s(literal 1 binary64)))
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
✓	accuracy	100.0%	(+.f64 (/.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
✓	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	88.6%	(/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64)))

Results

80.0ms	255×	0	valid
1.0ms	1×	2	valid

Compiler

Compiled 94 to 16 computations (83% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-div: 14.0ms (59.1% of total)

ival-add: 6.0ms (25.3% of total)

ival-mult: 2.0ms (8.4% of total)

ival-sub: 1.0ms (4.2% of total)

const: 0.0ms (0% of total)

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

series12.0ms (0.1%)

Counts

12 → 228

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

Calls

57 calls:

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

rewrite351.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

4712×	`-lowering-.f32`
4712×	`-lowering-.f64`
4452×	`/-lowering-/.f32`
4452×	`/-lowering-/.f64`
1894×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	64
1	114	64
2	1147	63
0	8472	63

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 553

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

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

simplify304.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

4700×	`+-lowering-+.f64`
4700×	`+-lowering-+.f32`
3046×	`-lowering-.f32`
3046×	`-lowering-.f64`
1232×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	282	1743
1	933	1556
2	3062	1469
0	8559	1469

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

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

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

eval109.0ms (1.2%)

Compiler: Compiled 18155 to 1965 computations (89.2% saved)

prune121.0ms (1.3%)

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	887	14	901
Fresh	7	2	9
Picked	3	2	5
Done	0	0	0
Total	897	18	915

Accuracy

100.0%

Counts

915 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	24.2%	(/.f64 (/.f64 (*.f64 x x) y) x)
	34.3%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x x))) (+.f64 x #s(literal 1 binary64)))
▶	38.2%	(/.f64 (+.f64 x #s(literal -1 binary64)) y)
	34.2%	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x x)) (+.f64 x #s(literal 1 binary64)))
▶	56.2%	(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64))
	19.8%	(/.f64 (*.f64 x x) y)
▶	99.8%	(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x y))) (/.f64 (+.f64 x #s(literal 1 binary64)) x))
	51.0%	(/.f64 x (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 x y)))
✓	52.0%	(/.f64 x (+.f64 x #s(literal 1 binary64)))
	38.5%	(/.f64 x y)
	51.9%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) x))
	38.2%	(+.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) y))
	51.1%	(+.f64 (/.f64 x y) #s(literal 1 binary64))
	51.0%	(*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 x y))
	52.0%	(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) x)
	13.9%	(.f64 x (.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
✓	38.3%	x
▶	15.9%	#s(literal 1 binary64)

Compiler

Compiled 310 to 199 computations (35.8% saved)

simplify220.0ms (2.4%)

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 x (+.f64 (/.f64 x y) #s(literal 1 binary64)))
✓	cost-diff	128	(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(/.f64 (*.f64 x x) y)
✓	cost-diff	256	(/.f64 (/.f64 (*.f64 x x) y) x)
✓	cost-diff	0	(+.f64 x #s(literal -1 binary64))
✓	cost-diff	0	(/.f64 (+.f64 x #s(literal -1 binary64)) y)
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 x y))
✓	cost-diff	0	(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x y))) (/.f64 (+.f64 x #s(literal 1 binary64)) x))
✓	cost-diff	128	(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x y)))

Rules

4498×	`-lowering-.f32`
4498×	`-lowering-.f64`
2280×	`associate-/r/`
1672×	`/-lowering-/.f32`
1672×	`/-lowering-/.f64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	18	83
1	48	80
2	79	80
3	165	80
4	303	80
5	990	79
6	2250	79
7	3359	79
8	4129	79
9	5310	79
10	5886	79
11	6578	79
0	8108	79

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize109.0ms (1.2%)

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(+.f64 (/.f64 x y) #s(literal 1 binary64))
✓	accuracy	99.9%	(*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	90.6%	(/.f64 (*.f64 x x) y)
✓	accuracy	74.5%	(/.f64 (/.f64 (*.f64 x x) y) x)
✓	accuracy	100.0%	(+.f64 x #s(literal -1 binary64))
✓	accuracy	100.0%	(/.f64 (+.f64 x #s(literal -1 binary64)) y)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 x y))
✓	accuracy	100.0%	(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
✓	accuracy	100.0%	(/.f64 (+.f64 x #s(literal 1 binary64)) x)
✓	accuracy	99.8%	(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x y))) (/.f64 (+.f64 x #s(literal 1 binary64)) x))

Results

79.0ms

256×

valid

Compiler

Compiled 98 to 19 computations (80.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-div: 13.0ms (54.8% of total)

ival-add: 5.0ms (21.1% of total)

ival-mult: 5.0ms (21.1% of total)

const: 1.0ms (4.2% of total)

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

series10.0ms (0.1%)

Counts

13 → 276

Calls

Call 1

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

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

Calls

69 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(/ (+ x 1) x)
2.0ms	y	@	inf	(/ (+ x -1) y)
0.0ms	y	@	0	(/ (+ x -1) y)
0.0ms	y	@	-inf	(/ (+ x -1) y)
0.0ms	x	@	-inf	(/ (+ x -1) y)

rewrite459.0ms (5.1%)

Algorithm

1×	batch-egg-rewrite

Rules

3672×	`/-lowering-/.f32`
3672×	`/-lowering-/.f64`
3436×	`-lowering-.f32`
3436×	`-lowering-.f64`
1508×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	65
1	127	62
2	1044	61
0	8728	61

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 783

Calls

Call 1

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

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

simplify559.0ms (6.2%)

Algorithm

1×	egg-herbie

Rules

3232×	`-lowering-.f32`
3232×	`-lowering-.f64`
1870×	`+-lowering-+.f64`
1870×	`+-lowering-+.f32`
1214×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	104	1440
1	292	1331
2	840	1278
3	4256	1274
0	8236	1274

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

Calls

Call 1

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

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

eval347.0ms (3.8%)

Compiler: Compiled 19477 to 1922 computations (90.1% saved)

prune160.0ms (1.8%)

Pruning

18 alts after pruning (13 fresh and 5 done)

	Pruned	Kept	Total
New	1137	4	1141
Fresh	2	9	11
Picked	2	3	5
Done	0	2	2
Total	1141	18	1159

Accuracy

100.0%

Counts

1159 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	24.2%	(/.f64 (/.f64 (*.f64 x x) y) x)
▶	51.0%	(/.f64 (/.f64 x y) (/.f64 (+.f64 x #s(literal 1 binary64)) x))
	34.3%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x x))) (+.f64 x #s(literal 1 binary64)))
✓	38.2%	(/.f64 (+.f64 x #s(literal -1 binary64)) y)
	34.2%	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x x)) (+.f64 x #s(literal 1 binary64)))
	19.8%	(/.f64 (*.f64 x x) y)
	51.0%	(/.f64 x (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 x y)))
✓	52.0%	(/.f64 x (+.f64 x #s(literal 1 binary64)))
▶	38.5%	(/.f64 x y)
▶	51.9%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) x))
	38.2%	(-.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
	56.2%	(+.f64 (/.f64 x (/.f64 y x)) x)
	51.1%	(+.f64 (/.f64 x y) #s(literal 1 binary64))
▶	52.0%	(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) x)
▶	56.2%	(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) x)
	13.9%	(.f64 x (.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
✓	38.3%	x
✓	15.9%	#s(literal 1 binary64)

Compiler

Compiled 275 to 176 computations (36% saved)

simplify258.0ms (2.8%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Rules

4358×	`-lowering-.f32`
4358×	`-lowering-.f64`
3016×	`fma-define`
1846×	`fma-lowering-fma.f32`
1846×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	12	77
1	26	75
2	46	74
3	114	73
4	217	72
5	363	72
6	506	70
7	612	70
8	826	70
9	2280	70
10	2632	70
11	2933	70
12	3218	70
13	4277	70
14	4323	70
15	5183	70
16	5625	70
17	5992	70
18	6420	70
19	7621	70
0	8154	70

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize101.0ms (1.1%)

Localize:

Found 14 expressions of interest:

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

Results

72.0ms

256×

valid

Compiler

Compiled 83 to 13 computations (84.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-div: 17.0ms (71.2% of total)

ival-add: 3.0ms (12.6% of total)

ival-mult: 3.0ms (12.6% of total)

const: 0.0ms (0% of total)

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

series3.0ms (0%)

Counts

9 → 156

Calls

Call 1

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

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

Calls

39 calls:

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

rewrite282.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

3512×	`-lowering-.f32`
3512×	`-lowering-.f64`
3106×	`/-lowering-/.f32`
3106×	`/-lowering-/.f64`
944×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	48
1	80	45
2	630	44
3	7044	44
0	8061	44

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 618

Calls

Call 1

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

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

simplify243.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

3166×	`-lowering-.f32`
3166×	`-lowering-.f64`
1828×	`+-lowering-+.f64`
1828×	`+-lowering-+.f32`
1292×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	102	922
1	321	851
2	855	814
3	3478	778
0	9037	778

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

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

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

eval138.0ms (1.5%)

Compiler: Compiled 18040 to 1848 computations (89.8% saved)

prune424.0ms (4.7%)

Pruning

18 alts after pruning (9 fresh and 9 done)

	Pruned	Kept	Total
New	1164	4	1168
Fresh	3	5	8
Picked	1	4	5
Done	0	5	5
Total	1168	18	1186

Accuracy

100.0%

Counts

1186 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	24.2%	(/.f64 (/.f64 (*.f64 x x) y) x)
	48.9%	(/.f64 (/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) x)) y)
	50.9%	(/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 y x))
	22.0%	(/.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) x))
	34.3%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x x))) (+.f64 x #s(literal 1 binary64)))
✓	38.2%	(/.f64 (+.f64 x #s(literal -1 binary64)) y)
	34.2%	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x x)) (+.f64 x #s(literal 1 binary64)))
	19.8%	(/.f64 (*.f64 x x) y)
✓	52.0%	(/.f64 x (+.f64 x #s(literal 1 binary64)))
✓	38.5%	(/.f64 x y)
✓	51.9%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) x))
	38.2%	(-.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
	51.1%	(+.f64 (/.f64 x y) #s(literal 1 binary64))
	22.0%	(*.f64 (/.f64 x y) x)
✓	52.0%	(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) x)
✓	56.2%	(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) x)
✓	38.3%	x
✓	15.9%	#s(literal 1 binary64)

Compiler

Compiled 480 to 181 computations (62.3% saved)

regimes42.0ms (0.5%)

Counts

38 → 1

Calls

Call 1

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

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

Calls

3 calls:

16.0ms	y
11.0ms	x
10.0ms	(/.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)

regimes24.0ms (0.3%)

Counts

30 → 1

Calls

Call 1

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

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

Calls

2 calls:

9.0ms	y
9.0ms	x

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes19.0ms (0.2%)

Counts

29 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

9.0ms	y
8.0ms	x

Results

Accuracy	Segments	Branch
97.0%	3	`x`
80.3%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes11.0ms (0.1%)

Counts

21 → 3

Calls

Call 1

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

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

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
96.6%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Counts

10 → 3

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
87.0%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Counts

9 → 3

Calls

Call 1

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

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:

3.0ms

Results

Accuracy	Segments	Branch
87.0%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Counts

6 → 4

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
88.3%	4	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts

5 → 4

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
61.2%	6	`y`
75.1%	4	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes16.0ms (0.2%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
72.7%	3	`x`

Compiler

Compiled 3 to 2 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
41.0%	2	`y`
50.5%	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
15.9%	1	`y`
15.9%	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
17.0ms	6.885175985437764e-6	31.520134551975243
14.0ms	-31.19067179548209	-0.5703413665051235

Results

20.0ms

256×

valid

Compiler

Compiled 370 to 252 computations (31.9% saved)

Precisions

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

ival-div: 6.0ms (53.5% of total)

ival-add: 2.0ms (17.8% of total)

ival-mult: 2.0ms (17.8% of total)

const: 0.0ms (0% of total)

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

bsearch31.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	6.885175985437764e-6	31.520134551975243
11.0ms	-31.19067179548209	-0.5703413665051235

Results

21.0ms

256×

valid

Compiler

Compiled 306 to 220 computations (28.1% saved)

Precisions

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

ival-div: 8.0ms (64.6% of total)

ival-add: 2.0ms (16.2% of total)

ival-mult: 2.0ms (16.2% of total)

const: 0.0ms (0% of total)

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

bsearch22.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
5.0ms	10833.482451578415	13250.82290069624
15.0ms	-31.19067179548209	-0.5703413665051235

Results

15.0ms

160×

valid

Compiler

Compiled 198 to 142 computations (28.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-div: 7.0ms (71.9% of total)

ival-add: 2.0ms (20.5% of total)

ival-mult: 1.0ms (10.3% of total)

const: 0.0ms (0% of total)

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

bsearch21.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
5.0ms	10833.482451578415	13250.82290069624
15.0ms	-31.19067179548209	-0.5703413665051235

Results

11.0ms

160×

valid

Compiler

Compiled 178 to 132 computations (25.8% saved)

Precisions

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

ival-div: 3.0ms (54.1% of total)

ival-add: 2.0ms (36% of total)

ival-mult: 1.0ms (18% of total)

const: 0.0ms (0% of total)

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

bsearch48.0ms (0.5%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	6.885175985437764e-6	31.520134551975243
13.0ms	-4.373362899588625e-63	-6.979820042176702e-68
15.0ms	-31.19067179548209	-0.5703413665051235

Results

32.0ms

384×

valid

Compiler

Compiled 334 to 234 computations (29.9% saved)

Precisions

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

ival-div: 6.0ms (45.7% of total)

ival-add: 4.0ms (30.5% of total)

ival-mult: 3.0ms (22.8% of total)

const: 1.0ms (7.6% of total)

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

bsearch49.0ms (0.5%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	6.885175985437764e-6	31.520134551975243
13.0ms	-4.373362899588625e-63	-6.979820042176702e-68
16.0ms	-31.19067179548209	-0.5703413665051235

Results

29.0ms

384×

valid

Compiler

Compiled 302 to 202 computations (33.1% saved)

Precisions

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

ival-div: 6.0ms (45.3% of total)

ival-add: 4.0ms (30.2% of total)

ival-mult: 3.0ms (22.7% of total)

const: 1.0ms (7.6% of total)

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

bsearch34.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	6.885175985437764e-6	31.520134551975243
15.0ms	-31.19067179548209	-0.5703413665051235

Results

20.0ms

256×

valid

Compiler

Compiled 178 to 124 computations (30.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-div: 4.0ms (45.2% of total)

ival-add: 3.0ms (33.9% of total)

ival-mult: 2.0ms (22.6% of total)

const: 0.0ms (0% of total)

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

bsearch59.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	6.885175985437764e-6	31.520134551975243
41.0ms	-2642113936477.4175	-200194663.83203933

Results

18.0ms

272×

valid

Compiler

Compiled 154 to 131 computations (14.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-div: 4.0ms (42.6% of total)

ival-add: 3.0ms (32% of total)

ival-mult: 2.0ms (21.3% of total)

const: 0.0ms (0% of total)

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

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative_binary64`
12×	`+-commutative_binary64`
12×	`if-if-or-not_binary32`
8×	`sub-neg_binary64`
6×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	185
1	89	185
2	96	185
3	102	185
4	109	185
5	110	185

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 x (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64))))
(*.f64 x (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -1 binary64)) (+.f64 (/.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) (if (<=.f64 x #s(literal 5674535530486825/4503599627370496 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) x) (+.f64 (/.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))))
(if (<=.f64 x #s(literal -1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) x) (+.f64 (/.f64 x y) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -31 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 12000 binary64)) (*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 (/.f64 x y) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -31 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 11000 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 -5743287626170883/1852673427797059126777135760139006525652319754650249024631321344126610074238976 binary64)) (*.f64 (/.f64 x y) x) (if (<=.f64 x #s(literal 5534023222112865/18446744073709551616 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 -8157691637276011/1897137590064188545819787018382342682267975428761855001222473056385648716020711424 binary64)) (*.f64 (/.f64 x y) x) (if (<=.f64 x #s(literal 8358680908399641/576460752303423488 binary64)) x (/.f64 x y))))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 x y) (if (<=.f64 x #s(literal 3422735716801577/9007199254740992 binary64)) x (/.f64 x y)))
(if (<=.f64 x #s(literal -205000000 binary64)) #s(literal 1 binary64) (if (<=.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(literal 1 binary64)

Outputs
(/.f64 x (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64))))
(/.f64 x (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(*.f64 x (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
(*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 x #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -1 binary64)) (+.f64 (/.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) (if (<=.f64 x #s(literal 5674535530486825/4503599627370496 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) x) (+.f64 (/.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))))
(if (<=.f64 x #s(literal -1 binary64)) (+.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))) (if (<=.f64 x #s(literal 5674535530486825/4503599627370496 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))))
(if (<=.f64 x #s(literal -1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) x) (+.f64 (/.f64 x y) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x y)) (if (<=.f64 x #s(literal 1 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(if (<=.f64 x #s(literal -31 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 12000 binary64)) (*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 (/.f64 x y) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -31 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x y)) (if (<=.f64 x #s(literal 12000 binary64)) (*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(if (<=.f64 x #s(literal -31 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 11000 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 (/.f64 x y) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -31 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x y)) (if (<=.f64 x #s(literal 11000 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(if (<=.f64 x #s(literal -1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64)) (if (<=.f64 x #s(literal -5743287626170883/1852673427797059126777135760139006525652319754650249024631321344126610074238976 binary64)) (*.f64 (/.f64 x y) x) (if (<=.f64 x #s(literal 5534023222112865/18446744073709551616 binary64)) x (+.f64 (/.f64 x y) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x y)) (if (<=.f64 x #s(literal -5743287626170883/1852673427797059126777135760139006525652319754650249024631321344126610074238976 binary64)) (*.f64 x (/.f64 x y)) (if (<=.f64 x #s(literal 5534023222112865/18446744073709551616 binary64)) x (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 x y) (if (<=.f64 x #s(literal -8157691637276011/1897137590064188545819787018382342682267975428761855001222473056385648716020711424 binary64)) (*.f64 (/.f64 x y) x) (if (<=.f64 x #s(literal 8358680908399641/576460752303423488 binary64)) x (/.f64 x y))))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 x y) (if (<=.f64 x #s(literal -8157691637276011/1897137590064188545819787018382342682267975428761855001222473056385648716020711424 binary64)) (*.f64 x (/.f64 x y)) (if (<=.f64 x #s(literal 8358680908399641/576460752303423488 binary64)) x (/.f64 x y))))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 x y) (if (<=.f64 x #s(literal 3422735716801577/9007199254740992 binary64)) x (/.f64 x y)))
(if (<=.f64 x #s(literal -205000000 binary64)) #s(literal 1 binary64) (if (<=.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(literal 1 binary64)

soundness1.5s (16.9%)

Rules

4700×	`+-lowering-+.f64`
4700×	`+-lowering-+.f32`
4148×	`-lowering-.f32`
4148×	`-lowering-.f64`
3888×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	49
1	63	46
2	518	46
0	8341	46
0	8	11
1	21	10
2	34	10
3	67	10
4	111	10
5	187	10
6	285	10
7	328	10
8	335	10
9	355	10
10	359	10
11	360	10
12	361	10
13	363	10
14	371	10
0	371	10
0	102	922
1	321	851
2	855	814
3	3478	778
0	9037	778
0	18	65
1	127	62
2	1044	61
0	8728	61
0	111	1360
1	335	1247
2	965	1124
3	4973	1106
0	8401	1106
0	282	1743
1	933	1556
2	3062	1469
0	8559	1469

Stop Event

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

Compiler

Compiled 633 to 334 computations (47.2% saved)

preprocess95.0ms (1%)

Compiler: Compiled 474 to 152 computations (67.9% saved)

Iter	Nodes	Cost
0	10	66
1	22	63
2	34	63
3	67	63
4	111	63
5	187	63
6	282	63
7	330	63
8	337	63
9	357	63
10	361	63
11	362	63
12	363	63
13	365	63
14	373	63
0	373	63

Iter	Nodes	Cost
0	10	66
1	22	63
2	34	63
3	67	63
4	111	63
5	187	63
6	282	63
7	330	63
8	337	63
9	357	63
10	361	63
11	362	63
12	363	63
13	365	63
14	373	63
0	373	63

analyze35.0ms (0.4%)

sample1.4s (15.3%)

preprocess78.0ms (0.9%)

explain97.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify23.0ms (0.3%)

localize96.0ms (1.1%)

series24.0ms (0.3%)

rewrite297.0ms (3.3%)

simplify229.0ms (2.5%)

eval116.0ms (1.3%)

prune151.0ms (1.7%)

simplify154.0ms (1.7%)

localize106.0ms (1.2%)

series12.0ms (0.1%)

rewrite351.0ms (3.9%)

simplify304.0ms (3.3%)

eval109.0ms (1.2%)

prune121.0ms (1.3%)

simplify220.0ms (2.4%)

localize109.0ms (1.2%)

series10.0ms (0.1%)

rewrite459.0ms (5.1%)

simplify559.0ms (6.2%)

eval347.0ms (3.8%)

prune160.0ms (1.8%)

simplify258.0ms (2.8%)

localize101.0ms (1.1%)

series3.0ms (0%)

rewrite282.0ms (3.1%)

simplify243.0ms (2.7%)

eval138.0ms (1.5%)

prune424.0ms (4.7%)

regimes42.0ms (0.5%)

regimes24.0ms (0.3%)

regimes19.0ms (0.2%)

regimes11.0ms (0.1%)

regimes4.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes5.0ms (0.1%)

regimes16.0ms (0.2%)

regimes4.0ms (0%)

regimes3.0ms (0%)

bsearch33.0ms (0.4%)

bsearch31.0ms (0.3%)

bsearch22.0ms (0.2%)

bsearch21.0ms (0.2%)

bsearch48.0ms (0.5%)

bsearch49.0ms (0.5%)

bsearch34.0ms (0.4%)

bsearch59.0ms (0.6%)

simplify13.0ms (0.1%)

soundness1.5s (16.9%)

preprocess95.0ms (1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	10	66
1	22	63
2	34	63
3	67	63
4	111	63
5	187	63
6	282	63
7	330	63
8	337	63
9	357	63
10	361	63
11	362	63
12	363	63
13	365	63
14	373	63
0	373	63