Metrics for Data.Colour.SRGB:invTransferFunction from colour-2.3.3

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze50.0ms (0.9%)

Memory

-24.8MiB live, 14.2MiB allocated

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
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
75%	74.9%	25%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	7
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	8
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	9
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	10
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	11
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	12

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample1.0s (18.5%)

Memory

14.9MiB live, 758.2MiB allocated

Samples

590.0ms	8 255×	0	valid
0.0ms	1×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 248.0ms

ival-add: 140.0ms (56.5% of total)

ival-div: 93.0ms (37.6% of total)

ival-true: 7.0ms (2.8% of total)

exact: 5.0ms (2% of total)

ival-assert: 3.0ms (1.2% of total)

adjust: 0.0ms (0% of total)

Bogosity

explain289.0ms (5.1%)

Memory

-150.3MiB live, 80.9MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Samples

174.0ms

512×

valid

Compiler

Compiled 43 to 22 computations (48.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 161.0ms

ival-add: 156.0ms (97% of total)

ival-div: 3.0ms (1.9% of total)

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

exact: 0.0ms (0% of total)

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

preprocess57.0ms (1%)

Memory

-3.8MiB live, 39.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	41
1	42	35
2	86	35
3	204	35
4	577	35
5	1216	35
6	1586	35
7	1979	35
8	2103	35
9	2174	35
10	2186	35
0	6	7
0	9	7
1	13	7
0	13	7

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify3.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
0	9	16
1	13	16
0	13	16

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize15.0ms (0.3%)

Memory

18.1MiB live, 18.1MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
accuracy	0	(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
accuracy	0	(+.f64 y #s(literal 1 binary64))
accuracy	0	(+.f64 x y)

Samples

10.0ms

256×

valid

Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions

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

ival-add: 3.0ms (65.7% of total)

ival-div: 2.0ms (43.8% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

5.2MiB live, 5.2MiB allocated

Counts

3 → 60

Calls

Call 1

Inputs
#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())
#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())

Inputs

#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())

#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())

#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())

Outputs
#s(alt x (taylor 0 y) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- 1 x))) (taylor 0 y) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (+ 1 (* y (- x 1))) x))) (taylor 0 y) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) (taylor 0 y) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 y) (taylor 0 y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 y) (taylor 0 y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 y) (taylor 0 y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf y) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (/ x y)) (/ 1 y)) (taylor inf y) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2)))) (taylor inf y) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))) (taylor inf y) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ 1 y))) (taylor inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ 1 y))) (taylor inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ 1 y))) (taylor inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf y) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ 1 (* -1 x)) y))) (taylor -inf y) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y))) (taylor -inf y) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y))) (taylor -inf y) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ 1 y))) (taylor -inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ 1 y))) (taylor -inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ 1 y))) (taylor -inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ y (+ 1 y)) (taylor 0 x) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (/ x (+ 1 y)) (/ y (+ 1 y))) (taylor 0 x) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (/ x (+ 1 y)) (/ y (+ 1 y))) (taylor 0 x) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (/ x (+ 1 y)) (/ y (+ 1 y))) (taylor 0 x) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 y)) (taylor inf x) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) (taylor inf x) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) (taylor inf x) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) (taylor inf x) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 y)) (taylor -inf x) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())

Calls

6 calls:

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

simplify165.0ms (2.9%)

Memory

10.9MiB live, 198.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	362
1	263	358
2	670	338
3	2442	308
0	8192	300

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 51

Calls

Call 1

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

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

rewrite274.0ms (4.8%)

Memory

-33.3MiB live, 286.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
0	9	13
1	43	13
2	307	13
3	3741	13
0	9904	13

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

3 → 471

Calls

Call 1

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

Outputs
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eval114.0ms (2%)

Memory: 18.8MiB live, 139.1MiB allocated
Compiler: Compiled 10 960 to 1 494 computations (86.4% saved)

prune35.0ms (0.6%)

Memory

-1.0MiB live, 37.3MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	518	4	522
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	518	5	523

Accuracy

100.0%

Counts

523 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
▶	51.2%	#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x))
▶	50.7%	#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
▶	49.8%	#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y)))
▶	37.8%	#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))

Compiler

Compiled 28 to 28 computations (0% saved)

simplify44.0ms (0.8%)

Memory

10.2MiB live, 46.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	83
0	21	83
1	29	83
2	39	83
3	61	83
4	119	83
5	178	83
6	270	83
7	435	83
8	598	83
9	730	83
10	970	83
11	1092	83
12	1094	83
13	1108	83
14	1120	83
0	1120	83

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize99.0ms (1.7%)

Memory

-17.4MiB live, 113.5MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 #s(literal 1 binary64) x)
accuracy	0.0078125	(fma.f64 (-.f64 #s(literal 1 binary64) x) y x)
accuracy	31.20920625681997	#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x))
accuracy	0	(+.f64 #s(literal 1 binary64) y)
accuracy	0.00390625	(/.f64 y (+.f64 #s(literal 1 binary64) y))
accuracy	31.557042233634014	#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
accuracy	0	(+.f64 #s(literal 1 binary64) y)
accuracy	0.00390625	(/.f64 x (+.f64 #s(literal 1 binary64) y))
accuracy	32.1443488560859	#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y)))
accuracy	39.80000900963585	#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))

Samples

91.0ms

256×

valid

Compiler

Compiled 65 to 14 computations (78.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-div: 47.0ms (85.1% of total)

ival-add: 5.0ms (9% of total)

ival-mult: 2.0ms (3.6% of total)

ival-sub: 1.0ms (1.8% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.2%)

Memory

17.9MiB live, 17.9MiB allocated

Counts

9 → 180

Calls

Call 1

Inputs
#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) (patch #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())
#s(alt (/.f64 x (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) y) (patch (+.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())
#s(alt (/.f64 y (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 y (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) (patch #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) (patch (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())

Outputs
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#s(alt (* -1 (* x (- (+ y (* -1 (/ y x))) 1))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) (patch (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ y (* -1 (/ y x))) 1))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) (patch (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ y (* -1 (/ y x))) 1))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) (patch (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())

Calls

6 calls:

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

simplify192.0ms (3.4%)

Memory

4.8MiB live, 241.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	160	1595
1	489	1554
2	1223	1460
3	4471	1336
0	8509	1286

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 170

Calls

Call 1

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

Outputs
x
(+ x (* y (- 1 x)))
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y)
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 y #s(literal 1 binary64)) x)
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))
(fma.f64 (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y)) y (-.f64 #s(literal 1 binary64) x)) y x)
x
(+ x (* y (- 1 x)))
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y)
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 y #s(literal 1 binary64)) x)
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))
(fma.f64 (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y)) y (-.f64 #s(literal 1 binary64) x)) y x)
x
(+ x (* -1 (* x y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(+ x (* y (- (* x y) x)))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) x)
(+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))
(.f64 (fma.f64 y y #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) y) x))
1
#s(literal 1 binary64)
(+ 1 y)
(+.f64 #s(literal 1 binary64) y)
(+ 1 y)
(+.f64 #s(literal 1 binary64) y)
(+ 1 y)
(+.f64 #s(literal 1 binary64) y)
x
(+ x (* y (- 1 x)))
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y)
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 y #s(literal 1 binary64)) x)
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))
(fma.f64 (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y)) y (-.f64 #s(literal 1 binary64) x)) y x)
y
(* y (+ 1 (* -1 y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) y)
(* y (+ 1 (* y (- y 1))))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y)
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1))))
(.f64 (.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y)) y)
x
(+ x (* y (- 1 x)))
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y)
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 y #s(literal 1 binary64)) x)
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))
(fma.f64 (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y)) y (-.f64 #s(literal 1 binary64) x)) y x)
x
(+ x (* y (- 1 x)))
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y)
(+ x (* y (- 1 x)))
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y)
(+ x (* y (- 1 x)))
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y)
1
#s(literal 1 binary64)
(- (+ 1 (/ x y)) (/ 1 y))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))
(fma.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))
(+.f64 (+.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (-.f64 (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(- (+ 1 (/ x y)) (/ 1 y))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))
(fma.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))
(+.f64 (+.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (-.f64 (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) #s(literal 1 binary64))
(/ x y)
(/.f64 x y)
(/ (+ x (* -1 (/ x y))) y)
(/.f64 (-.f64 x (/.f64 x y)) y)
(/ (- (+ x (/ x (pow y 2))) (/ x y)) y)
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x y) x) y) x) y)
(/ (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) y)
(/.f64 (*.f64 (-.f64 (/.f64 x y) x) (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) #s(literal -1 binary64))) y)
y
(* y (+ 1 (/ 1 y)))
(+.f64 #s(literal 1 binary64) y)
(* y (+ 1 (/ 1 y)))
(+.f64 #s(literal 1 binary64) y)
(* y (+ 1 (/ 1 y)))
(+.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
(- (+ 1 (/ x y)) (/ 1 y))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))
(fma.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))
(+.f64 (+.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (-.f64 (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(- 1 (/ 1 y))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(- (+ 1 (/ 1 (pow y 2))) (/ 1 y))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y))
(- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))
(-.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y) y) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(- (+ 1 (/ x y)) (/ 1 y))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))
(fma.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))
(+.f64 (+.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (-.f64 (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) #s(literal 1 binary64))
(* y (- 1 x))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(* y (- (+ 1 (/ x y)) x))
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y)
(* y (- (+ 1 (/ x y)) x))
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y)
(* y (- (+ 1 (/ x y)) x))
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y)))
(fma.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x)) y))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y)))
(fma.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x)) y))
(/ x y)
(/.f64 x y)
(* -1 (/ (+ (* -1 x) (/ x y)) y))
(/.f64 (-.f64 x (/.f64 x y)) y)
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x y) x) y))) y))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x y) x) y) x) y)
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x y) x) y)) x) y))) y))
(/.f64 (*.f64 (-.f64 (/.f64 x y) x) (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) #s(literal -1 binary64))) y)
y
(* y (+ 1 (/ 1 y)))
(+.f64 #s(literal 1 binary64) y)
(* y (+ 1 (/ 1 y)))
(+.f64 #s(literal 1 binary64) y)
(* y (+ 1 (/ 1 y)))
(+.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y)))
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rewrite433.0ms (7.6%)

Memory

-19.1MiB live, 176.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	71
0	21	71
1	99	71
2	732	71
0	8700	71

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

9 → 506

Calls

Call 1

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

Outputs
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eval482.0ms (8.5%)

Memory: -10.5MiB live, 153.0MiB allocated
Compiler: Compiled 14 125 to 2 159 computations (84.7% saved)

prune21.0ms (0.4%)

Memory

6.3MiB live, 45.2MiB allocated

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	805	4	809
Fresh	0	0	0
Picked	1	3	4
Done	0	1	1
Total	806	8	814

Accuracy

100.0%

Counts

814 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
▶	51.5%	#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x))
✓	50.7%	#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
✓	49.8%	#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y)))
▶	14.7%	#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y)))
▶	14.2%	#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y)))
▶	38.0%	#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)))
✓	37.8%	#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))

Compiler

Compiled 46 to 47 computations (-2.2% saved)

simplify68.0ms (1.2%)

Memory

-0.9MiB live, 37.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	144
0	29	144
1	41	144
2	60	144
3	86	144
4	170	144
5	249	144
6	344	144
7	528	144
8	729	144
9	908	144
10	1243	144
11	1447	144
12	1464	144
13	1484	144
14	1486	144
0	1486	144

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize61.0ms (1.1%)

Memory

8.7MiB live, 53.7MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)
accuracy	31.20920625681997	#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x))
accuracy	31.802930378948144	#s(approx (- 1 x) #s(literal 1 binary64))
accuracy	0	(-.f64 #s(literal 1 binary64) y)
accuracy	0.00390625	(*.f64 (-.f64 #s(literal 1 binary64) y) y)
accuracy	31.50782131640413	#s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y))
accuracy	31.557042233634014	#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y)))
accuracy	0	(/.f64 x y)
accuracy	31.92672015163455	#s(approx (/ x (+ 1 y)) (/.f64 x y))
accuracy	32.1443488560859	#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y)))
accuracy	0	(-.f64 #s(literal 1 binary64) y)
accuracy	0.0078125	(*.f64 (-.f64 #s(literal 1 binary64) y) x)
accuracy	31.20094390185601	#s(approx (/ x (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
accuracy	32.1443488560859	#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)))

Samples

30.0ms

256×

valid

Compiler

Compiled 84 to 18 computations (78.6% saved)

Precisions

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

ival-div: 7.0ms (37.5% of total)

ival-add: 5.0ms (26.8% of total)

ival-mult: 4.0ms (21.4% of total)

ival-sub: 2.0ms (10.7% of total)

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

exact: 0.0ms (0% of total)

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

series18.0ms (0.3%)

Memory

-6.1MiB live, 31.7MiB allocated

Counts

13 → 264

Calls

Call 1

Inputs
#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (.f64 (-.f64 #s(literal 1 binary64) y) x))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (.f64 (-.f64 #s(literal 1 binary64) y) x))) #<representation binary64>) () ())
#s(alt #s(approx (/ x (+ 1 y)) (.f64 (-.f64 #s(literal 1 binary64) y) x)) (patch #s(approx (/ x (+ 1 y)) (.f64 (-.f64 #s(literal 1 binary64) y) x)) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 #s(literal 1 binary64) y) x) (patch (.f64 (-.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y))) #<representation binary64>) () ())
#s(alt #s(approx (/ x (+ 1 y)) (/.f64 x y)) (patch #s(approx (/ x (+ 1 y)) (/.f64 x y)) #<representation binary64>) () ())
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (.f64 (-.f64 #s(literal 1 binary64) y) y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (.f64 (-.f64 #s(literal 1 binary64) y) y))) #<representation binary64>) () ())
#s(alt #s(approx (/ y (+ 1 y)) (.f64 (-.f64 #s(literal 1 binary64) y) y)) (patch #s(approx (/ y (+ 1 y)) (.f64 (-.f64 #s(literal 1 binary64) y) y)) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 #s(literal 1 binary64) y) y) (patch (.f64 (-.f64 #s(literal 1 binary64) y) y) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) (patch #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x) (patch (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x) #<representation binary64>) () ())
#s(alt #s(approx (- 1 x) #s(literal 1 binary64)) (patch #s(approx (- 1 x) #s(literal 1 binary64)) #<representation binary64>) () ())

Outputs
#s(alt x (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (.f64 (-.f64 #s(literal 1 binary64) y) x))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (.f64 (-.f64 #s(literal 1 binary64) y) x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- 1 x))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (.f64 (-.f64 #s(literal 1 binary64) y) x))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (.f64 (-.f64 #s(literal 1 binary64) y) x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (+ 1 (* y (- x 1))) x))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (.f64 (-.f64 #s(literal 1 binary64) y) x))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (.f64 (-.f64 #s(literal 1 binary64) y) x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (.f64 (-.f64 #s(literal 1 binary64) y) x))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (.f64 (-.f64 #s(literal 1 binary64) y) x))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt #s(approx (/ x (+ 1 y)) (.f64 (-.f64 #s(literal 1 binary64) y) x)) (patch #s(approx (/ x (+ 1 y)) (.f64 (-.f64 #s(literal 1 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x y))) (taylor 0 y) (#s(alt #s(approx (/ x (+ 1 y)) (.f64 (-.f64 #s(literal 1 binary64) y) x)) (patch #s(approx (/ x (+ 1 y)) (.f64 (-.f64 #s(literal 1 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* x y) x))) (taylor 0 y) (#s(alt #s(approx (/ x (+ 1 y)) (.f64 (-.f64 #s(literal 1 binary64) y) x)) (patch #s(approx (/ x (+ 1 y)) (.f64 (-.f64 #s(literal 1 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))) (taylor 0 y) (#s(alt #s(approx (/ x (+ 1 y)) (.f64 (-.f64 #s(literal 1 binary64) y) x)) (patch #s(approx (/ x (+ 1 y)) (.f64 (-.f64 #s(literal 1 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) y) x) (patch (.f64 (-.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x y))) (taylor 0 y) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) y) x) (patch (.f64 (-.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x y))) (taylor 0 y) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) y) x) (patch (.f64 (-.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x y))) (taylor 0 y) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) y) x) (patch (.f64 (-.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- 1 x))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (+ 1 (* y (- x 1))) x))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt #s(approx (/ x (+ 1 y)) (/.f64 x y)) (patch #s(approx (/ x (+ 1 y)) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x y))) (taylor 0 y) (#s(alt #s(approx (/ x (+ 1 y)) (/.f64 x y)) (patch #s(approx (/ x (+ 1 y)) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* x y) x))) (taylor 0 y) (#s(alt #s(approx (/ x (+ 1 y)) (/.f64 x y)) (patch #s(approx (/ x (+ 1 y)) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))) (taylor 0 y) (#s(alt #s(approx (/ x (+ 1 y)) (/.f64 x y)) (patch #s(approx (/ x (+ 1 y)) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (.f64 (-.f64 #s(literal 1 binary64) y) y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (.f64 (-.f64 #s(literal 1 binary64) y) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- 1 x))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (.f64 (-.f64 #s(literal 1 binary64) y) y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (.f64 (-.f64 #s(literal 1 binary64) y) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (+ 1 (* y (- x 1))) x))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (.f64 (-.f64 #s(literal 1 binary64) y) y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (.f64 (-.f64 #s(literal 1 binary64) y) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (.f64 (-.f64 #s(literal 1 binary64) y) y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (.f64 (-.f64 #s(literal 1 binary64) y) y))) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 y) (#s(alt #s(approx (/ y (+ 1 y)) (.f64 (-.f64 #s(literal 1 binary64) y) y)) (patch #s(approx (/ y (+ 1 y)) (.f64 (-.f64 #s(literal 1 binary64) y) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 y))) (taylor 0 y) (#s(alt #s(approx (/ y (+ 1 y)) (.f64 (-.f64 #s(literal 1 binary64) y) y)) (patch #s(approx (/ y (+ 1 y)) (.f64 (-.f64 #s(literal 1 binary64) y) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* y (- y 1)))) (taylor 0 y) (#s(alt #s(approx (/ y (+ 1 y)) (.f64 (-.f64 #s(literal 1 binary64) y) y)) (patch #s(approx (/ y (+ 1 y)) (.f64 (-.f64 #s(literal 1 binary64) y) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1)))) (taylor 0 y) (#s(alt #s(approx (/ y (+ 1 y)) (.f64 (-.f64 #s(literal 1 binary64) y) y)) (patch #s(approx (/ y (+ 1 y)) (.f64 (-.f64 #s(literal 1 binary64) y) y)) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 y) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) y) y) (patch (.f64 (-.f64 #s(literal 1 binary64) y) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 y))) (taylor 0 y) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) y) y) (patch (.f64 (-.f64 #s(literal 1 binary64) y) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 y))) (taylor 0 y) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) y) y) (patch (.f64 (-.f64 #s(literal 1 binary64) y) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 y))) (taylor 0 y) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) y) y) (patch (.f64 (-.f64 #s(literal 1 binary64) y) y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) (patch #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- 1 x))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) (patch #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (+ 1 (* y (- x 1))) x))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) (patch #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) (patch #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) #<representation binary64>) () ())) ())
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#s(alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) (taylor inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) (patch #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 y))) (taylor inf x) (#s(alt (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x) (patch (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (+ (* -1 y) (/ y x)))) (taylor inf x) (#s(alt (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x) (patch (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (+ (* -1 y) (/ y x)))) (taylor inf x) (#s(alt (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x) (patch (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (+ (* -1 y) (/ y x)))) (taylor inf x) (#s(alt (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x) (patch (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt #s(approx (- 1 x) #s(literal 1 binary64)) (patch #s(approx (- 1 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt #s(approx (- 1 x) #s(literal 1 binary64)) (patch #s(approx (- 1 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt #s(approx (- 1 x) #s(literal 1 binary64)) (patch #s(approx (- 1 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt #s(approx (- 1 x) #s(literal 1 binary64)) (patch #s(approx (- 1 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (.f64 (-.f64 #s(literal 1 binary64) y) x))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (.f64 (-.f64 #s(literal 1 binary64) y) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (.f64 (-.f64 #s(literal 1 binary64) y) x))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (.f64 (-.f64 #s(literal 1 binary64) y) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (.f64 (-.f64 #s(literal 1 binary64) y) x))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (.f64 (-.f64 #s(literal 1 binary64) y) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (.f64 (-.f64 #s(literal 1 binary64) y) x))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (.f64 (-.f64 #s(literal 1 binary64) y) x))) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ x (+ 1 y)) (.f64 (-.f64 #s(literal 1 binary64) y) x)) (patch #s(approx (/ x (+ 1 y)) (.f64 (-.f64 #s(literal 1 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ x (+ 1 y)) (.f64 (-.f64 #s(literal 1 binary64) y) x)) (patch #s(approx (/ x (+ 1 y)) (.f64 (-.f64 #s(literal 1 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ x (+ 1 y)) (.f64 (-.f64 #s(literal 1 binary64) y) x)) (patch #s(approx (/ x (+ 1 y)) (.f64 (-.f64 #s(literal 1 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ x (+ 1 y)) (.f64 (-.f64 #s(literal 1 binary64) y) x)) (patch #s(approx (/ x (+ 1 y)) (.f64 (-.f64 #s(literal 1 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 y)) (taylor -inf x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) y) x) (patch (.f64 (-.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 y)) (taylor -inf x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) y) x) (patch (.f64 (-.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 y)) (taylor -inf x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) y) x) (patch (.f64 (-.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 y)) (taylor -inf x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) y) x) (patch (.f64 (-.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ x (+ 1 y)) (/.f64 x y)) (patch #s(approx (/ x (+ 1 y)) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ x (+ 1 y)) (/.f64 x y)) (patch #s(approx (/ x (+ 1 y)) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ x (+ 1 y)) (/.f64 x y)) (patch #s(approx (/ x (+ 1 y)) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ x (+ 1 y)) (/.f64 x y)) (patch #s(approx (/ x (+ 1 y)) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (.f64 (-.f64 #s(literal 1 binary64) y) y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (.f64 (-.f64 #s(literal 1 binary64) y) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (.f64 (-.f64 #s(literal 1 binary64) y) y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (.f64 (-.f64 #s(literal 1 binary64) y) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (.f64 (-.f64 #s(literal 1 binary64) y) y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (.f64 (-.f64 #s(literal 1 binary64) y) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (.f64 (-.f64 #s(literal 1 binary64) y) y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (.f64 (-.f64 #s(literal 1 binary64) y) y))) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) (patch #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) (patch #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) (patch #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) (patch #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- y 1))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x) (patch (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ y (* -1 (/ y x))) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x) (patch (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ y (* -1 (/ y x))) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x) (patch (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ y (* -1 (/ y x))) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x) (patch (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt #s(approx (- 1 x) #s(literal 1 binary64)) (patch #s(approx (- 1 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (- 1 x) #s(literal 1 binary64)) (patch #s(approx (- 1 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (- 1 x) #s(literal 1 binary64)) (patch #s(approx (- 1 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (- 1 x) #s(literal 1 binary64)) (patch #s(approx (- 1 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())

Calls

6 calls:

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

simplify158.0ms (2.8%)

Memory

9.0MiB live, 201.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	169	2031
1	518	1964
2	1298	1862
3	4500	1736
0	8399	1684

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 253

Calls

Call 1

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

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

rewrite180.0ms (3.2%)

Memory

6.4MiB live, 289.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	131
0	29	131
1	119	131
2	848	131
0	8810	131

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

13 → 314

Calls

Call 1

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

Outputs
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eval84.0ms (1.5%)

Memory: 4.5MiB live, 192.6MiB allocated
Compiler: Compiled 11 535 to 1 860 computations (83.9% saved)

prune17.0ms (0.3%)

Memory

14.2MiB live, 51.2MiB allocated

Pruning

11 alts after pruning (3 fresh and 8 done)

	Pruned	Kept	Total
New	699	3	702
Fresh	0	0	0
Picked	0	4	4
Done	0	4	4
Total	699	11	710

Accuracy

100.0%

Counts

710 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
✓	51.5%	#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x))
✓	50.7%	#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
✓	49.8%	#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y)))
✓	14.7%	#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y)))
▶	2.7%	#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y)))
▶	15.3%	#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y)))
✓	14.2%	#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y)))
✓	38.0%	#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)))
▶	38.3%	#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)))
✓	37.8%	#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))

Compiler

Compiled 65 to 68 computations (-4.6% saved)

simplify43.0ms (0.8%)

Memory

-20.9MiB live, 23.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	149
0	26	149
1	37	149
2	41	149
3	46	149
4	54	149
5	64	149
6	98	149
7	133	149
8	156	149
9	198	149
10	298	149
11	452	149
12	732	149
13	1019	149
14	1098	149
15	1170	149
16	1222	149
17	1225	149
18	1226	149
0	1226	149

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize43.0ms (0.7%)

Memory

17.2MiB live, 88.5MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(*.f64 #s(approx (- 1 y) (neg.f64 y)) y)
accuracy	31.50782131640413	#s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y))
accuracy	31.557042233634014	#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y)))
accuracy	31.804168116046625	#s(approx (- 1 y) (neg.f64 y))
accuracy	0.00390625	(*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y)
accuracy	31.011173787780816	#s(approx (- 1 y) #s(literal 1 binary64))
accuracy	31.50782131640413	#s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))
accuracy	31.557042233634014	#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y)))
accuracy	0.0078125	(*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)
accuracy	31.011173787780816	#s(approx (- 1 y) #s(literal 1 binary64))
accuracy	31.20094390185601	#s(approx (/ x (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))
accuracy	32.1443488560859	#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)))

Samples

33.0ms

256×

valid

Compiler

Compiled 69 to 15 computations (78.3% saved)

Precisions

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

ival-add: 9.0ms (46.3% of total)

ival-div: 5.0ms (25.7% of total)

ival-mult: 3.0ms (15.4% of total)

ival-sub: 1.0ms (5.1% of total)

ival-neg: 1.0ms (5.1% of total)

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

exact: 0.0ms (0% of total)

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

series12.0ms (0.2%)

Memory

1.9MiB live, 39.7MiB allocated

Counts

11 → 192

Calls

Call 1

Inputs
#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) #<representation binary64>) () ())
#s(alt #s(approx (/ x (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) (patch #s(approx (/ x (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) #<representation binary64>) () ())
#s(alt #s(approx (- 1 y) #s(literal 1 binary64)) (patch #s(approx (- 1 y) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))) #<representation binary64>) () ())
#s(alt #s(approx (/ y (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y)) (patch #s(approx (/ y (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y) (patch (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (.f64 #s(approx (- 1 y) (neg.f64 y)) y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (.f64 #s(approx (- 1 y) (neg.f64 y)) y))) #<representation binary64>) () ())
#s(alt #s(approx (/ y (+ 1 y)) (.f64 #s(approx (- 1 y) (neg.f64 y)) y)) (patch #s(approx (/ y (+ 1 y)) (.f64 #s(approx (- 1 y) (neg.f64 y)) y)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (- 1 y) (neg.f64 y)) y) (patch (.f64 #s(approx (- 1 y) (neg.f64 y)) y) #<representation binary64>) () ())
#s(alt #s(approx (- 1 y) (neg.f64 y)) (patch #s(approx (- 1 y) (neg.f64 y)) #<representation binary64>) () ())

Outputs
#s(alt x (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- 1 x))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (+ 1 (* y (- x 1))) x))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt #s(approx (/ x (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) (patch #s(approx (/ x (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x y))) (taylor 0 y) (#s(alt #s(approx (/ x (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) (patch #s(approx (/ x (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* x y) x))) (taylor 0 y) (#s(alt #s(approx (/ x (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) (patch #s(approx (/ x (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))) (taylor 0 y) (#s(alt #s(approx (/ x (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) (patch #s(approx (/ x (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x y))) (taylor 0 y) (#s(alt (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x y))) (taylor 0 y) (#s(alt (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x y))) (taylor 0 y) (#s(alt (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (- 1 y) #s(literal 1 binary64)) (patch #s(approx (- 1 y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt #s(approx (- 1 y) #s(literal 1 binary64)) (patch #s(approx (- 1 y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt #s(approx (- 1 y) #s(literal 1 binary64)) (patch #s(approx (- 1 y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt #s(approx (- 1 y) #s(literal 1 binary64)) (patch #s(approx (- 1 y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- 1 x))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (+ 1 (* y (- x 1))) x))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 y) (#s(alt #s(approx (/ y (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y)) (patch #s(approx (/ y (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 y))) (taylor 0 y) (#s(alt #s(approx (/ y (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y)) (patch #s(approx (/ y (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* y (- y 1)))) (taylor 0 y) (#s(alt #s(approx (/ y (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y)) (patch #s(approx (/ y (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1)))) (taylor 0 y) (#s(alt #s(approx (/ y (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y)) (patch #s(approx (/ y (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 y) (#s(alt (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y) (patch (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 y))) (taylor 0 y) (#s(alt (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y) (patch (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 y))) (taylor 0 y) (#s(alt (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y) (patch (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 y))) (taylor 0 y) (#s(alt (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y) (patch (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (.f64 #s(approx (- 1 y) (neg.f64 y)) y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (.f64 #s(approx (- 1 y) (neg.f64 y)) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- 1 x))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (.f64 #s(approx (- 1 y) (neg.f64 y)) y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (.f64 #s(approx (- 1 y) (neg.f64 y)) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (+ 1 (* y (- x 1))) x))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (.f64 #s(approx (- 1 y) (neg.f64 y)) y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (.f64 #s(approx (- 1 y) (neg.f64 y)) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (.f64 #s(approx (- 1 y) (neg.f64 y)) y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (.f64 #s(approx (- 1 y) (neg.f64 y)) y))) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 y) (#s(alt #s(approx (/ y (+ 1 y)) (.f64 #s(approx (- 1 y) (neg.f64 y)) y)) (patch #s(approx (/ y (+ 1 y)) (.f64 #s(approx (- 1 y) (neg.f64 y)) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 y))) (taylor 0 y) (#s(alt #s(approx (/ y (+ 1 y)) (.f64 #s(approx (- 1 y) (neg.f64 y)) y)) (patch #s(approx (/ y (+ 1 y)) (.f64 #s(approx (- 1 y) (neg.f64 y)) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* y (- y 1)))) (taylor 0 y) (#s(alt #s(approx (/ y (+ 1 y)) (.f64 #s(approx (- 1 y) (neg.f64 y)) y)) (patch #s(approx (/ y (+ 1 y)) (.f64 #s(approx (- 1 y) (neg.f64 y)) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1)))) (taylor 0 y) (#s(alt #s(approx (/ y (+ 1 y)) (.f64 #s(approx (- 1 y) (neg.f64 y)) y)) (patch #s(approx (/ y (+ 1 y)) (.f64 #s(approx (- 1 y) (neg.f64 y)) y)) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 y) (#s(alt (.f64 #s(approx (- 1 y) (neg.f64 y)) y) (patch (.f64 #s(approx (- 1 y) (neg.f64 y)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 y))) (taylor 0 y) (#s(alt (.f64 #s(approx (- 1 y) (neg.f64 y)) y) (patch (.f64 #s(approx (- 1 y) (neg.f64 y)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 y))) (taylor 0 y) (#s(alt (.f64 #s(approx (- 1 y) (neg.f64 y)) y) (patch (.f64 #s(approx (- 1 y) (neg.f64 y)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 y))) (taylor 0 y) (#s(alt (.f64 #s(approx (- 1 y) (neg.f64 y)) y) (patch (.f64 #s(approx (- 1 y) (neg.f64 y)) y) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (- 1 y) (neg.f64 y)) (patch #s(approx (- 1 y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt #s(approx (- 1 y) (neg.f64 y)) (patch #s(approx (- 1 y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt #s(approx (- 1 y) (neg.f64 y)) (patch #s(approx (- 1 y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt #s(approx (- 1 y) (neg.f64 y)) (patch #s(approx (- 1 y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (/ x y)) (/ 1 y)) (taylor inf y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2)))) (taylor inf y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))) (taylor inf y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf y) (#s(alt #s(approx (/ x (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) (patch #s(approx (/ x (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* -1 (/ x y))) y) (taylor inf y) (#s(alt #s(approx (/ x (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) (patch #s(approx (/ x (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ x (/ x (pow y 2))) (/ x y)) y) (taylor inf y) (#s(alt #s(approx (/ x (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) (patch #s(approx (/ x (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) y) (taylor inf y) (#s(alt #s(approx (/ x (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) (patch #s(approx (/ x (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor inf y) (#s(alt (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 x) (/ x y))) (taylor inf y) (#s(alt (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 x) (/ x y))) (taylor inf y) (#s(alt (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 x) (/ x y))) (taylor inf y) (#s(alt (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt #s(approx (- 1 y) #s(literal 1 binary64)) (patch #s(approx (- 1 y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) 1)) (taylor inf y) (#s(alt #s(approx (- 1 y) #s(literal 1 binary64)) (patch #s(approx (- 1 y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) 1)) (taylor inf y) (#s(alt #s(approx (- 1 y) #s(literal 1 binary64)) (patch #s(approx (- 1 y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) 1)) (taylor inf y) (#s(alt #s(approx (- 1 y) #s(literal 1 binary64)) (patch #s(approx (- 1 y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (/ x (+ 1 y)) (taylor 0 x) (#s(alt #s(approx (/ x (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) (patch #s(approx (/ x (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 y)) (taylor 0 x) (#s(alt (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 y)) (taylor 0 x) (#s(alt (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 y)) (taylor 0 x) (#s(alt (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 y)) (taylor 0 x) (#s(alt (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (/ y (+ 1 y)) (taylor 0 x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (+ (/ x (+ 1 y)) (/ y (+ 1 y))) (taylor 0 x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (+ (/ x (+ 1 y)) (/ y (+ 1 y))) (taylor 0 x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (+ (/ x (+ 1 y)) (/ y (+ 1 y))) (taylor 0 x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (/ y (+ 1 y)) (taylor 0 x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (.f64 #s(approx (- 1 y) (neg.f64 y)) y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (.f64 #s(approx (- 1 y) (neg.f64 y)) y))) #<representation binary64>) () ())) ())
#s(alt (+ (/ x (+ 1 y)) (/ y (+ 1 y))) (taylor 0 x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (.f64 #s(approx (- 1 y) (neg.f64 y)) y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (.f64 #s(approx (- 1 y) (neg.f64 y)) y))) #<representation binary64>) () ())) ())
#s(alt (+ (/ x (+ 1 y)) (/ y (+ 1 y))) (taylor 0 x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (.f64 #s(approx (- 1 y) (neg.f64 y)) y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (.f64 #s(approx (- 1 y) (neg.f64 y)) y))) #<representation binary64>) () ())) ())
#s(alt (+ (/ x (+ 1 y)) (/ y (+ 1 y))) (taylor 0 x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (.f64 #s(approx (- 1 y) (neg.f64 y)) y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (.f64 #s(approx (- 1 y) (neg.f64 y)) y))) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 y)) (taylor inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) (taylor inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) (taylor inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) (taylor inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 y)) (taylor inf x) (#s(alt #s(approx (/ x (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) (patch #s(approx (/ x (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 y)) (taylor inf x) (#s(alt #s(approx (/ x (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) (patch #s(approx (/ x (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 y)) (taylor inf x) (#s(alt #s(approx (/ x (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) (patch #s(approx (/ x (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 y)) (taylor inf x) (#s(alt #s(approx (/ x (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) (patch #s(approx (/ x (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 y)) (taylor inf x) (#s(alt (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 y)) (taylor inf x) (#s(alt (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 y)) (taylor inf x) (#s(alt (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 y)) (taylor inf x) (#s(alt (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 y)) (taylor inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) (taylor inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) (taylor inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) (taylor inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 y)) (taylor inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (.f64 #s(approx (- 1 y) (neg.f64 y)) y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (.f64 #s(approx (- 1 y) (neg.f64 y)) y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) (taylor inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (.f64 #s(approx (- 1 y) (neg.f64 y)) y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (.f64 #s(approx (- 1 y) (neg.f64 y)) y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) (taylor inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (.f64 #s(approx (- 1 y) (neg.f64 y)) y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (.f64 #s(approx (- 1 y) (neg.f64 y)) y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) (taylor inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (.f64 #s(approx (- 1 y) (neg.f64 y)) y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (.f64 #s(approx (- 1 y) (neg.f64 y)) y))) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ x (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) (patch #s(approx (/ x (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ x (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) (patch #s(approx (/ x (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ x (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) (patch #s(approx (/ x (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ x (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) (patch #s(approx (/ x (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 y)) (taylor -inf x) (#s(alt (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 y)) (taylor -inf x) (#s(alt (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 y)) (taylor -inf x) (#s(alt (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 y)) (taylor -inf x) (#s(alt (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (.f64 #s(approx (- 1 y) (neg.f64 y)) y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (.f64 #s(approx (- 1 y) (neg.f64 y)) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (.f64 #s(approx (- 1 y) (neg.f64 y)) y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (.f64 #s(approx (- 1 y) (neg.f64 y)) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (.f64 #s(approx (- 1 y) (neg.f64 y)) y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (.f64 #s(approx (- 1 y) (neg.f64 y)) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (.f64 #s(approx (- 1 y) (neg.f64 y)) y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (.f64 #s(approx (- 1 y) (neg.f64 y)) y))) #<representation binary64>) () ())) ())

Calls

6 calls:

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

simplify217.0ms (3.8%)

Memory

-9.1MiB live, 248.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	144	1492
1	437	1442
2	1063	1362
3	3683	1266
0	8353	1239

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 183

Calls

Call 1

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

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

rewrite248.0ms (4.4%)

Memory

13.3MiB live, 89.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	137
0	26	137
1	93	137
2	595	137
0	8043	137

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

11 → 22

Calls

Call 1

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

Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>

eval42.0ms (0.7%)

Memory: -28.1MiB live, 52.0MiB allocated
Compiler: Compiled 1 899 to 182 computations (90.4% saved)

prune10.0ms (0.2%)

Memory

27.3MiB live, 27.3MiB allocated

Pruning

11 alts after pruning (0 fresh and 11 done)

	Pruned	Kept	Total
New	218	0	218
Fresh	0	0	0
Picked	0	3	3
Done	0	8	8
Total	218	11	229

Accuracy

100.0%

Counts

229 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
✓	51.5%	#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x))
✓	50.7%	#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
✓	49.8%	#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y)))
✓	14.7%	#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y)))
✓	2.7%	#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y)))
✓	15.3%	#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y)))
✓	14.2%	#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y)))
✓	38.0%	#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)))
✓	38.3%	#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)))
✓	37.8%	#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))

Compiler

Compiled 137 to 108 computations (21.2% saved)

regimes16.0ms (0.3%)

Memory

-6.8MiB live, 30.2MiB allocated

Counts

12 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
4.0ms	y
4.0ms	x

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes64.0ms (1.1%)

Memory

-22.1MiB live, 16.2MiB allocated

Counts

11 → 4

Calls

Call 1

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

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

Calls

3 calls:

55.0ms	x
4.0ms	y
4.0ms	(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
76.1%	3	`x`
88.5%	4	`y`
97.9%	4	`(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes4.0ms (0.1%)

Memory

4.4MiB live, 4.4MiB allocated

Counts

10 → 4

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

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

Results

Accuracy	Segments	Branch
97.3%	4	`(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes8.0ms (0.1%)

Memory

7.5MiB live, 7.5MiB allocated

Counts

9 → 3

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	y
3.0ms	(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
86.2%	3	`y`
86.0%	3	`(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes4.0ms (0.1%)

Memory

4.0MiB live, 4.0MiB allocated

Counts

7 → 3

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
86.0%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes6.0ms (0.1%)

Memory

7.2MiB live, 7.2MiB allocated

Counts

3 → 4

Calls

Call 1

Inputs

#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))

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

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

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

Calls

3 calls:

2.0ms	y
2.0ms	x
2.0ms	(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
51.5%	3	`x`
75.0%	4	`(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))`
72.6%	3	`y`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes4.0ms (0.1%)

Memory

6.3MiB live, 6.3MiB allocated

Counts

2 → 3

Calls

Call 1

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

Outputs

#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))

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

#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))

Calls

2 calls:

2.0ms	y
2.0ms	(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
72.6%	3	`y`
72.6%	3	`(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes18.0ms (0.3%)

Memory

-36.9MiB live, 8.7MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))

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

Calls

3 calls:

15.0ms	x
1.0ms	y
1.0ms	(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
37.8%	1	`x`
37.8%	1	`(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))`
37.8%	1	`y`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.0168379642837644	29.814178922278625
0.0ms	8.175181704786372e-24	1.7675495935287984e-17
0.0ms	-303.6331352805546	-1.9138721827490025e-5

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.0168379642837644	29.814178922278625
0.0ms	1.7675495935287984e-17	0.8780288328444505
0.0ms	-303.6331352805546	-1.9138721827490025e-5

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch25.0ms (0.4%)

Memory

35.8MiB live, 35.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	2.2284348816333952e-12	1886.8471891299357
10.0ms	-2594.9570848242215	-0.70864025076151

Samples

11.0ms

288×

valid

Compiler

Compiled 172 to 227 computations (-32% saved)

Precisions

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

ival-add: 3.0ms (56.2% of total)

ival-div: 2.0ms (37.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch16.0ms (0.3%)

Memory

-9.8MiB live, 26.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	1886.8471891299357	31180205326.271313
3.0ms	-2594.9570848242215	-0.70864025076151

Samples

6.0ms

144×

valid

Compiler

Compiled 146 to 215 computations (-47.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-div: 1.0ms (37.1% of total)

ival-add: 1.0ms (37.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.0168379642837644	29.814178922278625
0.0ms	1.7675495935287984e-17	0.8780288328444505
0.0ms	-5.61004763075866e-19	-1.0737230112614105e-19

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch2.0ms (0%)

Memory

3.1MiB live, 3.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1886.8471891299357	31180205326.271313
1.0ms	-2594.9570848242215	-0.70864025076151

Compiler

Compiled 146 to 232 computations (-58.9% saved)

simplify47.0ms (0.8%)

Memory

5.4MiB live, 42.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	413
1	72	413
2	75	413
3	77	413
4	78	413

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal -200 binary64)) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 6805647338418769/680564733841876926926749214863536422912 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))))))
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal -200 binary64)) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 6490371073168535/324518553658426726783156020576256 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 1900 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal -1298074214633707/2596148429267413814265248164610048 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 6490371073168535/324518553658426726783156020576256 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 1900 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))))
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))

Outputs
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
(/.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) y))
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal -200 binary64)) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 6805647338418769/680564733841876926926749214863536422912 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))))))
(if (<=.f64 (/.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) y)) #s(literal -200 binary64)) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) (if (<=.f64 (/.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) y)) #s(literal 6805647338418769/680564733841876926926749214863536422912 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) (if (<=.f64 (/.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))))))
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal -200 binary64)) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 6490371073168535/324518553658426726783156020576256 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))))))
(if (<=.f64 (/.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) y)) #s(literal -200 binary64)) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) (if (<=.f64 (/.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) y)) #s(literal 6490371073168535/324518553658426726783156020576256 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) (if (<=.f64 (/.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 1900 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal -1298074214633707/2596148429267413814265248164610048 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 6490371073168535/324518553658426726783156020576256 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))))))
(if (<=.f64 (/.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) y)) #s(literal -1298074214633707/2596148429267413814265248164610048 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) (if (<=.f64 (/.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) y)) #s(literal 6490371073168535/324518553658426726783156020576256 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))) (if (<=.f64 (/.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 1900 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))))
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))

soundness877.0ms (15.4%)

Memory

-22.2MiB live, 543.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	169	2031
1	518	1964
2	1298	1862
3	4500	1736
0	8399	1684
0	160	1595
1	489	1554
2	1223	1460
3	4471	1336
0	8509	1286
0	88	362
1	263	358
2	670	338
3	2442	308
0	8192	300

Stop Event

1×	done
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 308 to 161 computations (47.7% saved)

preprocess58.0ms (1%)

Memory: 6.3MiB live, 81.1MiB allocated
Compiler: Compiled 450 to 120 computations (73.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze50.0ms (0.9%)

sample1.0s (18.5%)

explain289.0ms (5.1%)

preprocess57.0ms (1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0%)

localize15.0ms (0.3%)

series4.0ms (0.1%)

simplify165.0ms (2.9%)

rewrite274.0ms (4.8%)

eval114.0ms (2%)

prune35.0ms (0.6%)

simplify44.0ms (0.8%)

localize99.0ms (1.7%)

series11.0ms (0.2%)

simplify192.0ms (3.4%)

rewrite433.0ms (7.6%)

eval482.0ms (8.5%)

prune21.0ms (0.4%)

simplify68.0ms (1.2%)

localize61.0ms (1.1%)

series18.0ms (0.3%)

simplify158.0ms (2.8%)

rewrite180.0ms (3.2%)

eval84.0ms (1.5%)

prune17.0ms (0.3%)

simplify43.0ms (0.8%)

localize43.0ms (0.7%)

series12.0ms (0.2%)

simplify217.0ms (3.8%)

rewrite248.0ms (4.4%)

eval42.0ms (0.7%)

prune10.0ms (0.2%)

regimes16.0ms (0.3%)

regimes64.0ms (1.1%)

regimes4.0ms (0.1%)

regimes8.0ms (0.1%)

regimes4.0ms (0.1%)

regimes6.0ms (0.1%)

regimes4.0ms (0.1%)

regimes18.0ms (0.3%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch25.0ms (0.4%)

bsearch16.0ms (0.3%)

bsearch1.0ms (0%)

bsearch2.0ms (0%)

simplify47.0ms (0.8%)

soundness877.0ms (15.4%)

preprocess58.0ms (1%)

end0.0ms (0%)

Profiling