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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze46.0ms (0.7%)

Memory

5.9MiB live, 43.7MiB 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
25%	25%	74.9%	0.1%	0%	0%	0%	3
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	4
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	5
65.6%	65.6%	34.3%	0.1%	0%	0%	0%	6
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	7
82%	82%	18%	0.1%	0%	0%	0%	8
87.9%	87.8%	12.1%	0.1%	0%	0%	0%	9
90.8%	90.7%	9.2%	0.1%	0%	0%	0%	10
93.8%	93.8%	6.1%	0.1%	0%	0%	0%	11
95.4%	95.3%	4.6%	0.1%	0%	0%	0%	12

Compiler

Compiled 13 to 10 computations (23.1% saved)

sample829.0ms (12.6%)

Memory

29.2MiB live, 1 142.1MiB allocated

Samples

522.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 331.0ms

ival-div: 135.0ms (40.8% of total)

ival-add: 126.0ms (38.1% of total)

ival-mult: 55.0ms (16.6% of total)

ival-true: 6.0ms (1.8% of total)

exact: 5.0ms (1.5% of total)

ival-assert: 3.0ms (0.9% of total)

Bogosity

explain129.0ms (2%)

Memory

-29.1MiB live, 93.6MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))`	o/n	27	0
↳	`(/.f64 x y)`	overflow	26
↳	`(*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64)))`	overflow	53
↳	`(+.f64 (/.f64 x y) #s(literal 1 binary64))`	overflow	26

Confusion

	Predicted +	Predicted -
+	27	0
-	0	229

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	27	0	0
-	0	0	229

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	229
1	27

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

38.0ms

512×

valid

Compiler

Compiled 81 to 28 computations (65.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-div: 7.0ms (44.2% of total)

ival-add: 5.0ms (31.5% of total)

ival-mult: 3.0ms (18.9% of total)

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

exact: 0.0ms (0% of total)

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

preprocess179.0ms (2.7%)

Memory

25.2MiB live, 62.0MiB allocated

Algorithm

1×	egg-herbie

Rules

2 086×	`div-sub`
1 020×	`unsub-neg`
896×	`sub-neg`
818×	`distribute-lft-in`
792×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	65
1	81	57
2	207	55
3	680	55
4	1654	55
5	3109	55
6	4447	55
7	5053	55
8	5609	55
9	6055	55
10	6151	55
11	6653	55
12	7061	55
13	7281	55
14	7593	55
15	7817	55
16	7825	55
17	7825	55
0	8	11
0	13	11
1	26	11
2	35	11
3	63	11
4	100	11
5	157	11
6	238	11
7	269	11
8	275	11
9	289	11
10	291	11
11	291	11
12	292	11
13	294	11
14	302	11
0	302	10

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	90.1%	(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))

Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify29.0ms (0.4%)

Memory

-19.9MiB live, 17.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

166×	`lower-*.f32`
164×	`lower-*.f64`
98×	`associate-r`
92×	`lower-fma.f64`
92×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
0	13	32
1	26	32
2	35	32
3	63	32
4	100	32
5	157	32
6	238	32
7	269	32
8	275	32
9	289	32
10	291	32
11	291	32
12	292	32
13	294	32
14	302	32
0	302	30

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize58.0ms (0.9%)

Memory

-2.0MiB live, 39.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 (/.f64 x y) #s(literal 1 binary64))
accuracy	0	(+.f64 x #s(literal 1 binary64))
accuracy	0.05859375	(*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64)))
accuracy	6.3562720932109755	(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))

Samples

14.0ms

256×

valid

Compiler

Compiled 34 to 10 computations (70.6% saved)

Precisions

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

ival-div: 3.0ms (38.6% of total)

ival-add: 2.0ms (25.8% of total)

ival-mult: 2.0ms (25.8% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.1%)

Memory

10.7MiB live, 10.7MiB allocated

Counts

5 → 108

Calls

Call 1

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

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

Calls

27 calls:

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

simplify234.0ms (3.6%)

Memory

0.2MiB live, 192.0MiB allocated

Algorithm

1×	egg-herbie

Rules

21 530×	`lower-fma.f64`
21 530×	`lower-fma.f32`
4 414×	`lower-*.f64`
4 414×	`lower-*.f32`
3 134×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	745
1	250	724
2	660	648
3	3422	635
0	9168	612

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 102

Calls

Call 1

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

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

rewrite216.0ms (3.3%)

Memory

13.3MiB live, 87.3MiB allocated

Rules

3 588×	`lower-*.f32`
3 586×	`lower-*.f64`
3 312×	`lower-/.f32`
3 308×	`lower-/.f64`
3 296×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	29
0	13	29
1	62	29
2	454	29
3	7068	29
0	8044	27

Stop Event

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

Counts

5 → 397

Calls

Call 1

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

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

eval167.0ms (2.5%)

Memory: -27.1MiB live, 74.7MiB allocated
Compiler: Compiled 10 937 to 1 190 computations (89.1% saved)

prune194.0ms (3%)

Memory

0.4MiB live, 121.9MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	491	8	499
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	492	8	500

Accuracy

100.0%

Counts

500 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	78.6%	(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x x) x) (+.f64 x #s(literal 1 binary64)))
	39.9%	(/.f64 (*.f64 x #s(approx (+ (/ x y) 1) (/.f64 x y))) (+.f64 x #s(literal 1 binary64)))
	47.6%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
▶	58.3%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x))
▶	93.7%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y))
	51.9%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
▶	35.2%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))
▶	42.3%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x))

Compiler

Compiled 174 to 96 computations (44.8% saved)

simplify140.0ms (2.1%)

Memory

26.0MiB live, 142.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	0	(/.f64 #s(literal 1 binary64) y)
cost-diff	320	(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x x) x)
cost-diff	384	(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x x) x) (+.f64 x #s(literal 1 binary64)))
cost-diff	0	(fma.f64 y x y)
cost-diff	0	(/.f64 x (fma.f64 y x y))
cost-diff	0	(*.f64 (/.f64 x (fma.f64 y x y)) x)
cost-diff	0	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x))
cost-diff	0	(/.f64 x y)
cost-diff	0	(-.f64 (/.f64 x y) x)
cost-diff	0	(fma.f64 (-.f64 (/.f64 x y) x) x x)
cost-diff	0	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x))
cost-diff	0	(/.f64 x y)
cost-diff	0	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))
cost-diff	0	(/.f64 x (+.f64 #s(literal 1 binary64) x))
cost-diff	0	(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x))
cost-diff	0	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y))
cost-diff	512	(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)

Rules

4 318×	`lower-fma.f32`
4 312×	`lower-fma.f64`
2 666×	`lower-*.f32`
2 660×	`lower-*.f64`
1 838×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	187
0	47	186
1	90	185
2	137	182
3	281	182
4	534	182
5	971	178
6	1418	178
7	2207	178
8	4320	178
9	6845	178
10	7930	178
0	8006	177

Stop Event

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

Calls

Call 1

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

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

localize93.0ms (1.4%)

Memory

-5.7MiB live, 191.9MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 x #s(literal 1 binary64))
accuracy	0	(*.f64 x x)
accuracy	6.3562720932109755	(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x x) x) (+.f64 x #s(literal 1 binary64)))
accuracy	7.21968917647826	(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x x) x)
accuracy	0	(fma.f64 y x y)
accuracy	0.15234375	(*.f64 (/.f64 x (fma.f64 y x y)) x)
accuracy	9.674296642920009	(/.f64 x (fma.f64 y x y))
accuracy	32.13832231223945	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x))
accuracy	0	(/.f64 x y)
accuracy	0.0078125	(-.f64 (/.f64 x y) x)
accuracy	0.04296875	(fma.f64 (-.f64 (/.f64 x y) x) x x)
accuracy	26.646425067475256	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x))
accuracy	0	(/.f64 x y)
accuracy	41.45233550904156	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))
accuracy	0	(+.f64 #s(literal 1 binary64) x)
accuracy	0	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y))
accuracy	0.00390625	(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x))
accuracy	4.049762105559116	(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)

Samples

51.0ms

256×

valid

Compiler

Compiled 161 to 27 computations (83.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-mult: 14.0ms (38.8% of total)

ival-div: 13.0ms (36% of total)

ival-add: 8.0ms (22.2% of total)

ival-sub: 1.0ms (2.8% of total)

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

exact: 0.0ms (0% of total)

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

series26.0ms (0.4%)

Memory

9.6MiB live, 48.4MiB allocated

Counts

19 → 396

Calls

Call 1

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

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

Calls

99 calls:

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

simplify181.0ms (2.8%)

Memory

14.1MiB live, 203.6MiB allocated

Algorithm

1×	egg-herbie

Rules

16 018×	`lower-fma.f64`
16 018×	`lower-fma.f32`
4 564×	`lower-+.f64`
4 564×	`lower-+.f32`
3 772×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	267	4175
1	829	3949
2	2345	3444
0	8433	3284

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 378

Calls

Call 1

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

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

rewrite185.0ms (2.8%)

Memory

-15.8MiB live, 302.4MiB allocated

Rules

5 722×	`lower-/.f32`
5 710×	`lower-/.f64`
4 946×	`lower-fma.f32`
4 940×	`lower-fma.f64`
4 352×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	169
0	47	169
1	210	165
2	1624	165
0	8636	159

Stop Event

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

Counts

19 → 710

Calls

Call 1

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

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

eval172.0ms (2.6%)

Memory: 2.7MiB live, 399.8MiB allocated
Compiler: Compiled 21 695 to 2 253 computations (89.6% saved)

prune136.0ms (2.1%)

Memory

16.4MiB live, 294.9MiB allocated

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	1 128	11	1 139
Fresh	3	0	3
Picked	4	1	5
Done	0	0	0
Total	1 135	12	1 147

Accuracy

100.0%

Counts

1 147 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	47.6%	#s(approx (/ (+ (* (/ 1 y) (* x x)) x) (+ x 1)) (fma.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
	51.9%	#s(approx (/ (+ (* (/ 1 y) (* x x)) x) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
	58.6%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x))
▶	42.7%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x))
▶	74.6%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y)))
	48.1%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) y))
	36.5%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 x x) (fma.f64 y x y)))
✓	35.2%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))
	42.3%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 (/.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) y)) x))
	36.5%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 y x y))))
▶	23.0%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 #s(approx (/ x (+ ( y x) y)) (/.f64 x y)) x))
▶	34.2%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (* (/ x (+ (* y x) y)) x) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64)))))

Compiler

Compiled 242 to 123 computations (49.2% saved)

simplify128.0ms (2%)

Memory

7.2MiB live, 121.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 x #s(literal 1 binary64))
cost-diff	0	(/.f64 #s(literal 1 binary64) y)
cost-diff	0	#s(approx (/ (+ (* (/ 1 y) (* x x)) x) (+ x 1)) (fma.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
cost-diff	192	(fma.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
cost-diff	0	(/.f64 #s(literal 1 binary64) y)
cost-diff	0	#s(approx (* (/ x (+ (* y x) y)) x) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64))))
cost-diff	0	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (* (/ x (+ (* y x) y)) x) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64)))))
cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64)))
cost-diff	0	(/.f64 x y)
cost-diff	0	#s(approx (/ x (+ (* y x) y)) (/.f64 x y))
cost-diff	0	(.f64 #s(approx (/ x (+ ( y x) y)) (/.f64 x y)) x)
cost-diff	0	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 #s(approx (/ x (+ ( y x) y)) (/.f64 x y)) x))
cost-diff	0	(neg.f64 x)
cost-diff	0	#s(approx (- (/ x y) x) (neg.f64 x))
cost-diff	0	(fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)
cost-diff	0	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x))
cost-diff	0	(+.f64 y x)
cost-diff	0	(*.f64 (+.f64 y x) x)
cost-diff	0	(/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y))
cost-diff	0	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y)))

Rules

6 698×	`lower-fma.f32`
6 692×	`lower-fma.f64`
3 568×	`lower-*.f32`
3 562×	`lower-*.f64`
1 838×	`lower-/.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	38	241
0	51	241
1	92	231
2	134	231
3	270	231
4	514	226
5	991	226
6	1699	226
7	3845	226
8	7585	226
0	8252	226

Stop Event

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

Calls

Call 1

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

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

localize99.0ms (1.5%)

Memory

-3.3MiB live, 162.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal 1 binary64) y)
accuracy	0	(-.f64 x #s(literal 1 binary64))
accuracy	0.0546875	(fma.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy	33.48561322749623	#s(approx (/ (+ (* (/ 1 y) (* x x)) x) (+ x 1)) (fma.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
accuracy	0	(-.f64 x #s(literal 1 binary64))
accuracy	0.08984375	(*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64)))
accuracy	32.13832231223945	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (* (/ x (+ (* y x) y)) x) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64)))))
accuracy	33.10081259677261	#s(approx (* (/ x (+ (* y x) y)) x) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64))))
accuracy	0	(/.f64 x y)
accuracy	0.15234375	(.f64 #s(approx (/ x (+ ( y x) y)) (/.f64 x y)) x)
accuracy	29.325269047805964	#s(approx (/ x (+ (* y x) y)) (/.f64 x y))
accuracy	32.13832231223945	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 #s(approx (/ x (+ ( y x) y)) (/.f64 x y)) x))
accuracy	0	(neg.f64 x)
accuracy	0.04296875	(fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)
accuracy	26.646425067475256	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x))
accuracy	30.003775613847917	#s(approx (- (/ x y) x) (neg.f64 x))
accuracy	0	(+.f64 y x)
accuracy	0	(*.f64 (+.f64 y x) x)
accuracy	0	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y)))
accuracy	16.000783265831203	(/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y))

Samples

65.0ms

256×

valid

Compiler

Compiled 166 to 29 computations (82.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-mult: 26.0ms (52% of total)

ival-div: 10.0ms (20% of total)

ival-add: 10.0ms (20% of total)

ival-sub: 2.0ms (4% of total)

ival-neg: 1.0ms (2% of total)

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

exact: 0.0ms (0% of total)

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

series23.0ms (0.3%)

Memory

-6.6MiB live, 31.8MiB allocated

Counts

19 → 420

Calls

Call 1

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

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

Calls

105 calls:

Time	Variable		Point	Expression
4.0ms	y	@	-inf	(/ (* (+ y x) x) (+ (* y x) y))
0.0ms	y	@	inf	(* (/ 1 y) (- x 1))
0.0ms	y	@	0	(* (/ 1 y) (- x 1))
0.0ms	x	@	-inf	(* (+ y x) x)
0.0ms	x	@	-inf	(* (/ 1 y) (- x 1))

simplify140.0ms (2.1%)

Memory

-9.3MiB live, 142.8MiB allocated

Algorithm

1×	egg-herbie

Rules

11 614×	`lower-fma.f64`
11 614×	`lower-fma.f32`
2 884×	`lower-*.f64`
2 884×	`lower-*.f32`
2 452×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	205	4397
1	616	4145
2	1712	3396
3	6101	3305
0	8125	3188

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 405

Calls

Call 1

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

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

rewrite425.0ms (6.5%)

Memory

-118.0MiB live, 226.6MiB allocated

Rules

5 732×	`lower-fma.f32`
5 726×	`lower-fma.f64`
5 006×	`lower-/.f32`
5 000×	`lower-/.f64`
4 946×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	220
0	51	220
1	208	210
2	1597	210
0	8637	205

Stop Event

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

Counts

19 → 391

Calls

Call 1

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

Outputs
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) (+.f64 y x)))
(.f64 (/.f64 (.f64 (+.f64 y x) x) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (neg.f64 (+.f64 y x)) #s(literal -1 binary64)) (/.f64 x (fma.f64 y x y)))
(*.f64 (/.f64 (+.f64 y x) #s(literal -1 binary64)) (/.f64 (neg.f64 x) (fma.f64 y x y)))
(.f64 (/.f64 (.f64 (+.f64 y x) (-.f64 y x)) (fma.f64 y x y)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) (/.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x)) (fma.f64 y x y)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (+.f64 y x) (fma.f64 y x y)))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 (+.f64 y x)) (fma.f64 y x y)))
(.f64 (/.f64 (+.f64 y x) (.f64 (fma.f64 y x y) (fma.f64 y x (neg.f64 y)))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y x (neg.f64 y)))))
(.f64 (/.f64 (+.f64 y x) (fma.f64 (.f64 y y) y (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 y x) x) y (.f64 y (-.f64 y (*.f64 y x)))))))
(*.f64 (/.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) x)) (/.f64 x y))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 y x) y))
(*.f64 (/.f64 (+.f64 y x) (fma.f64 y x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 (.f64 (+.f64 y x) x) (*.f64 (fma.f64 y x y) (fma.f64 y x (neg.f64 y)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y x (neg.f64 y)))))
(.f64 (/.f64 (.f64 (+.f64 y x) x) (*.f64 (fma.f64 y x y) (fma.f64 y x (neg.f64 y)))) (fma.f64 y x (neg.f64 y)))
(.f64 (/.f64 (.f64 (+.f64 y x) x) (fma.f64 (.f64 y y) y (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 y x) x) y (.f64 y (-.f64 y (.f64 y x)))))))
(.f64 (/.f64 (.f64 (+.f64 y x) x) (fma.f64 (.f64 y y) y (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)))) (fma.f64 (.f64 (.f64 y x) x) y (.f64 y (-.f64 y (.f64 y x)))))
(.f64 (/.f64 x (.f64 (fma.f64 y x y) (fma.f64 y x (neg.f64 y)))) (/.f64 (+.f64 y x) (/.f64 #s(literal 1 binary64) (fma.f64 y x (neg.f64 y)))))
(.f64 (/.f64 x (fma.f64 (.f64 y y) y (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)))) (/.f64 (+.f64 y x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 y x) x) y (.f64 y (-.f64 y (*.f64 y x)))))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x y)) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 y x) x)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x y)) (.f64 (+.f64 y x) x))
(.f64 (.f64 (neg.f64 x) (+.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y x y))))
(*.f64 (/.f64 x (fma.f64 y x y)) (+.f64 y x))
(.f64 (.f64 (+.f64 y x) x) (/.f64 #s(literal 1 binary64) (fma.f64 y x y)))
(*.f64 (+.f64 y x) (/.f64 x (fma.f64 y x y)))
(.f64 #s(literal 1 binary64) (.f64 (/.f64 x (fma.f64 y x y)) (+.f64 y x)))
(*.f64 x (/.f64 (+.f64 y x) (fma.f64 y x y)))
(.f64 x (.f64 (+.f64 y x) (/.f64 #s(literal 1 binary64) (fma.f64 y x y))))
(pow.f64 (/.f64 (/.f64 (fma.f64 y x y) (*.f64 (+.f64 y x) x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 y x y) (*.f64 (+.f64 y x) x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 y x) (-.f64 y x)) (/.f64 x (fma.f64 y x y)))) (neg.f64 (-.f64 y x)))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x)) (/.f64 x (fma.f64 y x y)))) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 y x) x) #s(literal 1 binary64))) (neg.f64 (fma.f64 y x y)))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) #s(literal 1 binary64))) (neg.f64 (/.f64 (fma.f64 y x y) x)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 x) (+.f64 y x)))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 y x y)))))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 y x) (-.f64 y x)) (neg.f64 x))) (neg.f64 (*.f64 (-.f64 y x) (neg.f64 (fma.f64 y x y)))))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 y x) (-.f64 y x)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 y x) (/.f64 (fma.f64 y x y) x))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x)) (neg.f64 x))) (neg.f64 (.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) (neg.f64 (fma.f64 y x y)))))
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(/.f64 (fma.f64 (*.f64 x x) x #s(literal -1 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 x x) x #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) x #s(literal -1 binary64))
(fma.f64 x #s(literal 1 binary64) #s(literal -1 binary64))
(expm1.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))
(-.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 x x (-.f64 #s(literal 1 binary64) (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) (neg.f64 x)))))
(-.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))
(-.f64 x #s(literal 1 binary64))
(+.f64 #s(literal -1 binary64) x)
(+.f64 x #s(literal -1 binary64))

eval128.0ms (2%)

Memory: -26.9MiB live, 202.2MiB allocated
Compiler: Compiled 14 001 to 1 171 computations (91.6% saved)

prune122.0ms (1.9%)

Memory

27.8MiB live, 228.8MiB allocated

Pruning

14 alts after pruning (9 fresh and 5 done)

	Pruned	Kept	Total
New	881	5	886
Fresh	2	4	6
Picked	1	4	5
Done	0	1	1
Total	884	14	898

Accuracy

100.0%

Counts

898 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.9%	#s(approx (/ (+ (* (/ 1 y) (* x x)) x) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64))))
	47.7%	#s(approx (/ (+ (* (/ 1 y) (* x x)) x) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64)))
	34.3%	#s(approx (/ (+ (* (/ 1 y) (* x x)) x) (+ x 1)) #s(approx (+ (* (/ 1 y) (- x 1)) 1) (/.f64 (-.f64 x #s(literal 1 binary64)) y)))
▶	16.1%	#s(approx (/ (+ (* (/ 1 y) (* x x)) x) (+ x 1)) #s(approx (+ (* (/ 1 y) (- x 1)) 1) #s(literal 1 binary64)))
▶	58.6%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x))
✓	42.7%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x))
✓	74.6%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y)))
	36.5%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 x x) (fma.f64 y x y)))
✓	35.2%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))
▶	42.3%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 (/.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) y)) x))
	36.5%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 y x y))))
✓	23.0%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 #s(approx (/ x (+ ( y x) y)) (/.f64 x y)) x))
▶	23.0%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 #s(approx (/ x (+ ( y x) y)) (*.f64 (/.f64 #s(literal 1 binary64) y) x)) x))
✓	34.2%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (* (/ x (+ (* y x) y)) x) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64)))))

Compiler

Compiled 226 to 119 computations (47.3% saved)

simplify126.0ms (1.9%)

Memory

-1.8MiB live, 41.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 x (*.f64 (+.f64 #s(literal 1 binary64) x) y))
cost-diff	0	(.f64 (/.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) y)) x)
cost-diff	0	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 (/.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) y)) x))
cost-diff	128	(*.f64 (+.f64 #s(literal 1 binary64) x) y)
cost-diff	0	#s(approx (/ x (+ (* y x) y)) (*.f64 (/.f64 #s(literal 1 binary64) y) x))
cost-diff	0	(.f64 #s(approx (/ x (+ ( y x) y)) (*.f64 (/.f64 #s(literal 1 binary64) y) x)) x)
cost-diff	0	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 #s(approx (/ x (+ ( y x) y)) (*.f64 (/.f64 #s(literal 1 binary64) y) x)) x))
cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) y) x)
cost-diff	0	(-.f64 x #s(literal -1 binary64))
cost-diff	0	(/.f64 x (-.f64 x #s(literal -1 binary64)))
cost-diff	0	#s(approx (/ (+ (* (/ 1 y) (* x x)) x) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64))))
cost-diff	0	#s(approx (+ (* (/ 1 y) (- x 1)) 1) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (+ (* (/ 1 y) (* x x)) x) (+ x 1)) #s(approx (+ (* (/ 1 y) (- x 1)) 1) #s(literal 1 binary64)))
cost-diff	0	(/.f64 x y)
cost-diff	0	#s(approx (- (/ x y) x) (/.f64 x y))
cost-diff	0	(fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x)
cost-diff	0	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x))

Rules

1 592×	`lower-fma.f32`
1 590×	`lower-fma.f64`
920×	`lower-*.f32`
912×	`lower-*.f64`
398×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	230
0	53	228
1	98	214
2	150	214
3	271	214
4	439	214
5	576	214
6	734	214
7	1065	214
8	1949	214
9	2597	214
10	2940	214
11	2952	214
12	2960	214
13	2966	214
14	2967	214
15	2979	214
16	2981	214
17	2981	214
0	2981	202

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize92.0ms (1.4%)

Memory

8.8MiB live, 125.0MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(*.f64 (+.f64 #s(literal 1 binary64) x) y)
accuracy	0.15234375	(.f64 (/.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) y)) x)
accuracy	9.674296642920009	(/.f64 x (*.f64 (+.f64 #s(literal 1 binary64) x) y))
accuracy	32.13832231223945	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 (/.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) y)) x))
accuracy	0.15234375	(.f64 #s(approx (/ x (+ ( y x) y)) (*.f64 (/.f64 #s(literal 1 binary64) y) x)) x)
accuracy	0.1796875	(*.f64 (/.f64 #s(literal 1 binary64) y) x)
accuracy	29.325269047805964	#s(approx (/ x (+ (* y x) y)) (*.f64 (/.f64 #s(literal 1 binary64) y) x))
accuracy	32.13832231223945	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 #s(approx (/ x (+ ( y x) y)) (*.f64 (/.f64 #s(literal 1 binary64) y) x)) x))
accuracy	0	(/.f64 x (-.f64 x #s(literal -1 binary64)))
accuracy	0	(-.f64 x #s(literal -1 binary64))
accuracy	30.802489934929184	#s(approx (/ (+ (* (/ 1 y) (* x x)) x) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64))))
accuracy	33.48561322749623	#s(approx (/ (+ (* (/ 1 y) (* x x)) x) (+ x 1)) #s(approx (+ (* (/ 1 y) (- x 1)) 1) #s(literal 1 binary64)))
accuracy	37.91801954711331	#s(approx (+ (* (/ 1 y) (- x 1)) 1) #s(literal 1 binary64))
accuracy	0	(/.f64 x y)
accuracy	0.04296875	(fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x)
accuracy	26.646425067475256	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x))
accuracy	32.09271742621832	#s(approx (- (/ x y) x) (/.f64 x y))

Samples

65.0ms

256×

valid

Compiler

Compiled 154 to 33 computations (78.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-mult: 18.0ms (36.4% of total)

ival-div: 15.0ms (30.3% of total)

ival-add: 12.0ms (24.3% of total)

ival-sub: 3.0ms (6.1% of total)

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

exact: 0.0ms (0% of total)

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

series34.0ms (0.5%)

Memory

-1.3MiB live, 39.2MiB allocated

Counts

17 → 384

Calls

Call 1

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

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

Calls

96 calls:

Time	Variable		Point	Expression
12.0ms	y	@	0	(* (+ 1 x) y)
5.0ms	y	@	-inf	(* (+ 1 x) y)
0.0ms	y	@	inf	(* (/ x (* (+ 1 x) y)) x)
0.0ms	y	@	inf	(* (+ 1 x) y)
0.0ms	y	@	-inf	(/ x (* (+ 1 x) y))

simplify221.0ms (3.4%)

Memory

-5.2MiB live, 224.5MiB allocated

Algorithm

1×	egg-herbie

Rules

13 976×	`lower-fma.f64`
13 976×	`lower-fma.f32`
4 268×	`lower-*.f64`
4 268×	`lower-*.f32`
2 854×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	207	4010
1	623	3759
2	1704	3182
3	7683	3153
0	9050	3006

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 374

Calls

Call 1

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

rewrite182.0ms (2.8%)

Memory

2.2MiB live, 252.2MiB allocated

Rules

4 918×	`lower-/.f32`
4 910×	`lower-/.f64`
4 886×	`lower-*.f32`
4 878×	`lower-*.f64`
4 526×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	213
0	53	201
1	233	197
2	1697	197
0	8199	185

Stop Event

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

Counts

17 → 407

Calls

Call 1

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

Outputs
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x))
(*.f64 (+.f64 #s(approx (- (/ x y) x) (/.f64 x y)) #s(literal 1 binary64)) x)
(.f64 (.f64 (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x (neg.f64 x))))
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(*.f64 x (+.f64 #s(approx (- (/ x y) x) (/.f64 x y)) #s(literal 1 binary64)))
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eval114.0ms (1.7%)

Memory: 5.1MiB live, 159.4MiB allocated
Compiler: Compiled 11 354 to 1 131 computations (90% saved)

prune176.0ms (2.7%)

Memory

-27.6MiB live, 215.0MiB allocated

Pruning

15 alts after pruning (5 fresh and 10 done)

	Pruned	Kept	Total
New	780	1	781
Fresh	0	4	4
Picked	0	5	5
Done	0	5	5
Total	780	15	795

Accuracy

100.0%

Counts

795 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.9%	#s(approx (/ (+ (* (/ 1 y) (* x x)) x) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64))))
	47.7%	#s(approx (/ (+ (* (/ 1 y) (* x x)) x) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64)))
	15.4%	#s(approx (/ (+ (* (/ 1 y) (* x x)) x) (+ x 1)) #s(approx (/ x (- x -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
	34.3%	#s(approx (/ (+ (* (/ 1 y) (* x x)) x) (+ x 1)) #s(approx (+ (* (/ 1 y) (- x 1)) 1) (/.f64 (-.f64 x #s(literal 1 binary64)) y)))
✓	16.1%	#s(approx (/ (+ (* (/ 1 y) (* x x)) x) (+ x 1)) #s(approx (+ (* (/ 1 y) (- x 1)) 1) #s(literal 1 binary64)))
✓	58.6%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x))
✓	42.7%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x))
✓	74.6%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y)))
	36.5%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 x x) (fma.f64 y x y)))
✓	35.2%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))
✓	42.3%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 (/.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) y)) x))
	36.5%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 y x y))))
✓	23.0%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 #s(approx (/ x (+ ( y x) y)) (/.f64 x y)) x))
✓	23.0%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 #s(approx (/ x (+ ( y x) y)) (*.f64 (/.f64 #s(literal 1 binary64) y) x)) x))
✓	34.2%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (* (/ x (+ (* y x) y)) x) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64)))))

Compiler

Compiled 366 to 128 computations (65% saved)

regimes25.0ms (0.4%)

Memory

13.8MiB live, 13.8MiB allocated

Counts

26 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

8.0ms	y
8.0ms	x
7.0ms	(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
100.0%	3	`x`
97.4%	3	`y`
100.0%	3	`(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))`

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes15.0ms (0.2%)

Memory

18.5MiB live, 18.5MiB allocated

Counts

24 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

7.0ms	x
7.0ms	(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
100.0%	3	`x`
99.9%	3	`(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))`

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes26.0ms (0.4%)

Memory

-13.2MiB live, 23.8MiB allocated

Counts

23 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

18.0ms	x
6.0ms	(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
98.5%	6	`(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))`
98.6%	3	`x`

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes5.0ms (0.1%)

Memory

9.1MiB live, 9.1MiB allocated

Counts

13 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
98.4%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes38.0ms (0.6%)

Memory

-24.2MiB live, 17.5MiB allocated

Counts

10 → 4

Calls

Call 1

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

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

Calls

3 calls:

29.0ms	y
4.0ms	x
4.0ms	(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
90.9%	4	`(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))`
76.5%	5	`y`
84.8%	3	`x`

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes8.0ms (0.1%)

Memory

13.8MiB live, 13.8MiB allocated

Counts

9 → 3

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
71.9%	3	`x`
83.1%	3	`(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))`

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes2.0ms (0%)

Memory

6.7MiB live, 6.7MiB allocated

Counts

3 → 4

Calls

Call 1

Inputs

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

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

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
82.2%	4	`(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes8.0ms (0.1%)

Memory

-19.6MiB live, 16.0MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs

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

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

Outputs

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

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

Calls

3 calls:

4.0ms	x
2.0ms	y
2.0ms	(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
50.9%	3	`x`
44.5%	2	`y`
56.4%	2	`(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))`

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes4.0ms (0.1%)

Memory

13.6MiB live, 13.6MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
16.1%	1	`y`
16.1%	1	`x`
16.1%	1	`(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))`

Compiler

Compiled 19 to 12 computations (36.8% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.6127982722376548e+103	9.05145547246075e+113
0.0ms	-inf	-3.9122675678532086e+260

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch30.0ms (0.5%)

Memory

-7.4MiB live, 65.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	4.492493720175576e-27	4.897535649523976e-26
17.0ms	-7596963983.734325	-3.2189454799108713e-15

Samples

14.0ms

272×

valid

Compiler

Compiled 475 to 268 computations (43.6% saved)

Precisions

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

ival-div: 4.0ms (47.7% of total)

ival-add: 2.0ms (23.8% of total)

ival-mult: 2.0ms (23.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch34.0ms (0.5%)

Memory

18.3MiB live, 66.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	0.09256768202648508	15589.729024040987
13.0ms	-7596963983.734325	-3.2189454799108713e-15

Samples

20.0ms

304×

valid

Compiler

Compiled 476 to 273 computations (42.6% saved)

Precisions

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

ival-div: 4.0ms (44.2% of total)

ival-add: 3.0ms (33.1% of total)

ival-mult: 2.0ms (22.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch52.0ms (0.8%)

Memory

-23.7MiB live, 12.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
4.0ms	0.09256768202648508	15589.729024040987
1.0ms	-7596963983.734325	-3.2189454799108713e-15

Samples

2.0ms

48×

valid

Compiler

Compiled 456 to 253 computations (44.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-div: 1.0ms (70.1% of total)

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

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

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1593.6429657423255	6203683.111026044
0.0ms	9.91272510605575e-19	3.8259462869894874e-11
0.0ms	-2.924993121225707e+24	-4.988186687900755e+21

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1593.6429657423255	6203683.111026044
0.0ms	-4.61311621585538	-3.2189454799108816e-15

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1593.6429657423255	6203683.111026044
0.0ms	0.08472489489602268	0.339713033009181
0.0ms	-4.61311621585538	-3.2189454799108816e-15

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.08472489489602268	0.339713033009181

Compiler

Compiled 16 to 13 computations (18.8% saved)

simplify10.0ms (0.2%)

Memory

21.4MiB live, 21.4MiB allocated

Algorithm

1×	egg-herbie

Rules

16×	`+-commutative_binary64`
8×	`*-commutative_binary64`
8×	`sub-neg_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	704
1	101	704
2	107	704
3	113	704

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -inf.0 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 20000000000000000038313501714693374724319102545303840223056070291987586484079775119224722902163606470656 binary64)) (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y))))
(if (<=.f64 x #s(literal -8239728901483491/2535301200456458802993406410752 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)) (if (<=.f64 x #s(literal 1045347431181123/21778071482940061661655974875633165533184 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y))))
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (/ (+ (* (/ 1 y) (* x x)) x) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 1 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x)) #s(approx (/ (+ (* (/ 1 y) (* x x)) x) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (/ (+ (* (/ 1 y) (* x x)) x) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 5/4 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x)) #s(approx (/ (+ (* (/ 1 y) (* x x)) x) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -1999999999999999966445568 binary64)) #s(approx (/ (+ ( (/ 1 y) (* x x)) x) (+ x 1)) #s(approx (+ (* (/ 1 y) (- x 1)) 1) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 1298074214633707/1298074214633706907132624082305024 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x)) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 2000 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)))))
(if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -4 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 2000 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))))
(if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -4 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 2000 binary64)) #s(approx (/ (+ ( (/ 1 y) (* x x)) x) (+ x 1)) #s(approx (+ (* (/ 1 y) (- x 1)) 1) #s(literal 1 binary64))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)))))
(if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) #s(approx (/ (+ (* (/ 1 y) (* x x)) x) (+ x 1)) #s(approx (+ (* (/ 1 y) (- x 1)) 1) #s(literal 1 binary64))))
#s(approx (/ (+ (* (/ 1 y) (* x x)) x) (+ x 1)) #s(approx (+ (* (/ 1 y) (- x 1)) 1) #s(literal 1 binary64)))

Outputs
(if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -inf.0 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 20000000000000000038313501714693374724319102545303840223056070291987586484079775119224722902163606470656 binary64)) (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y))))
(if (<=.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) x) (+.f64 #s(literal 1 binary64) x)) #s(literal -inf.0 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) (if (<=.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 20000000000000000038313501714693374724319102545303840223056070291987586484079775119224722902163606470656 binary64)) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) x) (+.f64 #s(literal 1 binary64) x)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (+.f64 y x) (/.f64 x (+.f64 #s(literal 1 binary64) x))) y))))
(if (<=.f64 x #s(literal -8239728901483491/2535301200456458802993406410752 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)) (if (<=.f64 x #s(literal 1045347431181123/21778071482940061661655974875633165533184 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y))))
(if (<=.f64 x #s(literal -8239728901483491/2535301200456458802993406410752 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (.f64 (+.f64 y x) (/.f64 x (+.f64 #s(literal 1 binary64) x))) y)) (if (<=.f64 x #s(literal 1045347431181123/21778071482940061661655974875633165533184 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (+.f64 y x) (/.f64 x (+.f64 #s(literal 1 binary64) x))) y))))
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (/ (+ (* (/ 1 y) (* x x)) x) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 1 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x)) #s(approx (/ (+ (* (/ 1 y) (* x x)) x) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (/ (+ (* (/ 1 y) (* x x)) x) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 5/4 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x)) #s(approx (/ (+ (* (/ 1 y) (* x x)) x) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -1999999999999999966445568 binary64)) #s(approx (/ (+ ( (/ 1 y) (* x x)) x) (+ x 1)) #s(approx (+ (* (/ 1 y) (- x 1)) 1) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 1298074214633707/1298074214633706907132624082305024 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x)) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 2000 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)))))
(if (<=.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) x) (+.f64 #s(literal 1 binary64) x)) #s(literal -1999999999999999966445568 binary64)) #s(approx (/ (+ ( (/ 1 y) (* x x)) x) (+ x 1)) #s(approx (+ (* (/ 1 y) (- x 1)) 1) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) (if (<=.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1298074214633707/1298074214633706907132624082305024 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x)) (if (<=.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2000 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)))))
(if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -4 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 2000 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))))
(if (<=.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) x) (+.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) (if (<=.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2000 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))))
(if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -4 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 2000 binary64)) #s(approx (/ (+ ( (/ 1 y) (* x x)) x) (+ x 1)) #s(approx (+ (* (/ 1 y) (- x 1)) 1) #s(literal 1 binary64))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)))))
(if (<=.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) x) (+.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) (if (<=.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) (if (<=.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2000 binary64)) #s(approx (/ (+ ( (/ 1 y) (* x x)) x) (+ x 1)) #s(approx (+ (* (/ 1 y) (- x 1)) 1) #s(literal 1 binary64))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)))))
(if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) #s(approx (/ (+ (* (/ 1 y) (* x x)) x) (+ x 1)) #s(approx (+ (* (/ 1 y) (- x 1)) 1) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) #s(approx (/ (+ (* (/ 1 y) (* x x)) x) (+ x 1)) #s(approx (+ (* (/ 1 y) (- x 1)) 1) #s(literal 1 binary64))))
#s(approx (/ (+ (* (/ 1 y) (* x x)) x) (+ x 1)) #s(approx (+ (* (/ 1 y) (- x 1)) 1) #s(literal 1 binary64)))

soundness1.1s (17.1%)

Memory

-19.2MiB live, 779.7MiB allocated

Rules

21 530×	`lower-fma.f64`
21 530×	`lower-fma.f32`
16 018×	`lower-fma.f64`
16 018×	`lower-fma.f32`
11 614×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	29
0	13	29
1	62	29
2	454	29
3	7068	29
0	8044	27
0	90	745
1	250	724
2	660	648
3	3422	635
0	9168	612
0	267	4175
1	829	3949
2	2345	3444
0	8433	3284
0	205	4397
1	616	4145
2	1712	3396
3	6101	3305
0	8125	3188
0	38	220
0	51	220
1	208	210
2	1597	210
0	8637	205

Stop Event

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

Compiler

Compiled 733 to 266 computations (63.7% saved)

preprocess143.0ms (2.2%)

Memory: 13.8MiB live, 186.8MiB allocated
Compiler: Compiled 774 to 152 computations (80.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	8	32
0	13	32
1	26	32
2	35	32
3	63	32
4	100	32
5	157	32
6	238	32
7	269	32
8	275	32
9	289	32
10	291	32
11	291	32
12	292	32
13	294	32
14	302	32
0	302	30

Iter	Nodes	Cost
0	8	32
0	13	32
1	26	32
2	35	32
3	63	32
4	100	32
5	157	32
6	238	32
7	269	32
8	275	32
9	289	32
10	291	32
11	291	32
12	292	32
13	294	32
14	302	32
0	302	30

start0.0ms (0%)

analyze46.0ms (0.7%)

sample829.0ms (12.6%)

explain129.0ms (2%)

preprocess179.0ms (2.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify29.0ms (0.4%)

localize58.0ms (0.9%)

series9.0ms (0.1%)

simplify234.0ms (3.6%)

rewrite216.0ms (3.3%)

eval167.0ms (2.5%)

prune194.0ms (3%)

simplify140.0ms (2.1%)

localize93.0ms (1.4%)

series26.0ms (0.4%)

simplify181.0ms (2.8%)

rewrite185.0ms (2.8%)

eval172.0ms (2.6%)

prune136.0ms (2.1%)

simplify128.0ms (2%)

localize99.0ms (1.5%)

series23.0ms (0.3%)

simplify140.0ms (2.1%)

rewrite425.0ms (6.5%)

eval128.0ms (2%)

prune122.0ms (1.9%)

simplify126.0ms (1.9%)

localize92.0ms (1.4%)

series34.0ms (0.5%)

simplify221.0ms (3.4%)

rewrite182.0ms (2.8%)

eval114.0ms (1.7%)

prune176.0ms (2.7%)

regimes25.0ms (0.4%)

regimes15.0ms (0.2%)

regimes26.0ms (0.4%)

regimes5.0ms (0.1%)

regimes38.0ms (0.6%)

regimes8.0ms (0.1%)

regimes2.0ms (0%)

regimes8.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch0.0ms (0%)

bsearch30.0ms (0.5%)

bsearch34.0ms (0.5%)

bsearch52.0ms (0.8%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify10.0ms (0.2%)

soundness1.1s (17.1%)

preprocess143.0ms (2.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	32
0	13	32
1	26	32
2	35	32
3	63	32
4	100	32
5	157	32
6	238	32
7	269	32
8	275	32
9	289	32
10	291	32
11	291	32
12	292	32
13	294	32
14	302	32
0	302	30