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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze70.0ms (0.9%)

Memory

-12.0MiB live, 43.8MiB 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)

sample1.6s (20%)

Memory

22.0MiB live, 968.8MiB allocated

Samples

1.0s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 656.0ms

ival-add: 281.0ms (42.8% of total)

ival-mult: 185.0ms (28.2% of total)

ival-div: 175.0ms (26.7% of total)

ival-true: 6.0ms (0.9% of total)

exact: 5.0ms (0.8% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

explain121.0ms (1.5%)

Memory

9.5MiB live, 203.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
23	-	-	`(/.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	23	0
↳	`(/.f64 x y)`	overflow	25
↳	`(*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64)))`	overflow	48
↳	`(+.f64 (/.f64 x y) #s(literal 1 binary64))`	overflow	25

Confusion

	Predicted +	Predicted -
+	23	0
-	0	233

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	23	0	0
-	0	0	233

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	233
1	23

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

33.0ms

512×

valid

Compiler

Compiled 81 to 28 computations (65.4% saved)

Precisions

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

ival-div: 10.0ms (53.4% of total)

ival-add: 5.0ms (26.7% of total)

ival-mult: 3.0ms (16% of total)

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

exact: 0.0ms (0% of total)

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

preprocess195.0ms (2.4%)

Memory

-46.7MiB live, 89.4MiB 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 x (/.f64 x y) x) (+.f64 x #s(literal 1 binary64)))

Compiler

Compiled 13 to 8 computations (38.5% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	91.4%	(/.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)

simplify15.0ms (0.2%)

Memory

22.2MiB live, 22.2MiB 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 x (/.f64 x y) x) (+.f64 x #s(literal 1 binary64)))
(*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64)))
(fma.f64 x (/.f64 x y) x)
x
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 x y)
y
#s(literal 1 binary64)
(+.f64 x #s(literal 1 binary64))

localize33.0ms (0.4%)

Memory

-4.5MiB live, 67.5MiB 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	5.44268403395663	(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))

Samples

25.0ms

256×

valid

Compiler

Compiled 34 to 10 computations (70.6% saved)

Precisions

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

ival-add: 8.0ms (57.2% of total)

ival-div: 4.0ms (28.6% of total)

ival-mult: 2.0ms (14.3% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.1%)

Memory

-10.2MiB live, 26.0MiB 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))
0.0ms	x	@	0	(* x (+ (/ x y) 1))
0.0ms	y	@	-inf	(* x (+ (/ x y) 1))

simplify310.0ms (3.8%)

Memory

34.0MiB live, 670.0MiB 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 x (/.f64 x y) x)
(* x (+ 1 (/ x y)))
(fma.f64 x (/.f64 x y) x)
(* x (+ 1 (/ x y)))
(fma.f64 x (/.f64 x y) x)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(fma.f64 x (/.f64 x y) x)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(fma.f64 x (/.f64 x y) x)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(fma.f64 x (/.f64 x y) x)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(fma.f64 x (/.f64 x y) x)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(fma.f64 x (/.f64 x y) x)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(fma.f64 x (/.f64 x y) x)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (+ (* x y) (pow x 2)) y)
(/.f64 (*.f64 x (+.f64 x y)) y)
(/ (+ (* x y) (pow x 2)) y)
(/.f64 (*.f64 x (+.f64 x y)) y)
(/ (+ (* x y) (pow x 2)) y)
(/.f64 (*.f64 x (+.f64 x y)) y)
x
(+ x (/ (pow x 2) y))
(fma.f64 x (/.f64 x y) x)
(+ x (/ (pow x 2) y))
(fma.f64 x (/.f64 x y) x)
(+ x (/ (pow x 2) y))
(fma.f64 x (/.f64 x y) x)
x
(+ x (/ (pow x 2) y))
(fma.f64 x (/.f64 x y) x)
(+ x (/ (pow x 2) y))
(fma.f64 x (/.f64 x y) x)
(+ x (/ (pow x 2) y))
(fma.f64 x (/.f64 x y) x)
x
(* x (+ 1 (* x (- (/ 1 y) 1))))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))
(fma.f64 (.f64 x x) (.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) x)
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))
(fma.f64 x (+.f64 (/.f64 x y) (*.f64 x (fma.f64 (-.f64 (/.f64 x y) x) (+.f64 x #s(literal -1 binary64)) #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 #s(literal 1 binary64) (/.f64 x y)) (fma.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.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 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (.f64 x x))))))))
(/ x y)
(/.f64 x y)
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))
(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 #s(literal 1 binary64) (/.f64 x y)) (fma.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.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 x (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) (+.f64 x #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))) x)) x)))
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y)) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y)) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y)) y)
(/ x (+ 1 x))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(/ x (+ 1 x))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
1
#s(literal 1 binary64)
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(/ x y)
(/.f64 x y)
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(/ x y)
(/.f64 x y)
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(/ x y)
(/.f64 x y)
(/ (+ x y) y)
(/.f64 (+.f64 x y) y)
(/ (+ x y) y)
(/.f64 (+.f64 x y) y)
(/ (+ x y) y)
(/.f64 (+.f64 x y) y)
1
#s(literal 1 binary64)
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
1
#s(literal 1 binary64)
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))

rewrite264.0ms (3.2%)

Memory

-6.1MiB live, 266.0MiB 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 x (/.f64 (*.f64 x x) y))
(+.f64 (/.f64 (*.f64 x x) y) x)
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x (/.f64 x y) x)))
(-.f64 (/.f64 (.f64 (/.f64 (.f64 x x) (.f64 y y)) (.f64 x x)) (-.f64 (/.f64 (.f64 x x) y) x)) (/.f64 (.f64 x x) (-.f64 (/.f64 (*.f64 x x) y) x)))
(fma.f64 x (/.f64 x y) x)
(fma.f64 x #s(literal 1 binary64) (/.f64 (*.f64 x x) y))
(fma.f64 (/.f64 x y) x x)
(fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(fma.f64 #s(literal 1 binary64) x (/.f64 (*.f64 x x) y))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) y) x)
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 x) y) x)
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) y) x)
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x x) x)
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (/.f64 #s(literal 1 binary64) x)) x)
(fma.f64 (/.f64 (*.f64 x x) y) #s(literal 1 binary64) x)
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (/.f64 (*.f64 x x) y))
(fma.f64 (*.f64 x (neg.f64 x)) (/.f64 #s(literal -1 binary64) y) x)
(fma.f64 (/.f64 (neg.f64 x) y) (neg.f64 x) x)
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.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 x y) x)
(neg.f64 (neg.f64 (fma.f64 x (/.f64 x y) x)))
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (/.f64 (.f64 x x) y)) (.f64 (/.f64 (.f64 x x) (.f64 y y)) (.f64 x x))) (fma.f64 x (.f64 x x) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 y (*.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (.f64 x x) y) x) (-.f64 (.f64 (/.f64 (.f64 x x) (.f64 y y)) (.f64 x x)) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) (.f64 x (fma.f64 x (/.f64 x (.f64 y y)) #s(literal -1 binary64)))))
(/.f64 (fma.f64 x (.f64 x x) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 y (.f64 y y)))) (fma.f64 x (-.f64 x (/.f64 (.f64 x x) y)) (.f64 (/.f64 (.f64 x x) (.f64 y y)) (*.f64 x x))))
(/.f64 (fma.f64 x (.f64 x x) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 y (.f64 y y)))) (fma.f64 x x (-.f64 (.f64 (/.f64 (.f64 x x) (.f64 y y)) (.f64 x x)) (/.f64 (.f64 x (.f64 x x)) y))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x x) (.f64 y y)) (.f64 x x)) (.f64 x x)) (-.f64 (/.f64 (.f64 x x) y) x))
(/.f64 (fma.f64 x (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) x) (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 x (fma.f64 x (/.f64 x (.f64 y y)) #s(literal -1 binary64))) (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(/.f64 (.f64 (neg.f64 (fma.f64 x (/.f64 (.f64 x x) (.f64 y (.f64 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 (neg.f64 (fma.f64 x (/.f64 x (.f64 y y)) #s(literal -1 binary64))) x) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (*.f64 y y))) x) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(/.f64 (.f64 (fma.f64 x (.f64 x x) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 y (.f64 y y)))) #s(literal 1 binary64)) (fma.f64 x (-.f64 x (/.f64 (.f64 x x) y)) (.f64 (/.f64 (.f64 x x) (.f64 y y)) (.f64 x x))))
(/.f64 (.f64 (-.f64 (.f64 (/.f64 (.f64 x x) (.f64 y y)) (.f64 x x)) (.f64 x x)) #s(literal 1 binary64)) (-.f64 (/.f64 (*.f64 x x) y) x))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (*.f64 y y)))) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(/.f64 (neg.f64 (fma.f64 x (.f64 x x) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 y (.f64 y y))))) (neg.f64 (fma.f64 x (-.f64 x (/.f64 (.f64 x x) y)) (.f64 (/.f64 (.f64 x x) (.f64 y y)) (*.f64 x x)))))
(/.f64 (neg.f64 (-.f64 (.f64 (/.f64 (.f64 x x) (.f64 y y)) (.f64 x x)) (.f64 x x))) (neg.f64 (-.f64 (/.f64 (.f64 x x) y) x)))
(/.f64 (neg.f64 (fma.f64 x (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) x)) (neg.f64 (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 x (fma.f64 x (/.f64 x (.f64 y y)) #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(/.f64 (-.f64 (.f64 x x) (.f64 (/.f64 (.f64 x x) (.f64 y y)) (.f64 x x))) (-.f64 x (/.f64 (.f64 x x) y)))
(/.f64 (.f64 x (neg.f64 (fma.f64 x (/.f64 (.f64 x x) (.f64 y (.f64 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 x (neg.f64 (fma.f64 x (/.f64 x (.f64 y y)) #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (/.f64 (.f64 x x) y)) (.f64 (/.f64 (.f64 x x) (.f64 y y)) (.f64 x x))) (fma.f64 x (.f64 x x) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 y (*.f64 y y))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (/.f64 (.f64 x x) y) x) (-.f64 (.f64 (/.f64 (.f64 x x) (.f64 y y)) (.f64 x x)) (.f64 x 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)) (fma.f64 x (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) (.f64 x (fma.f64 x (/.f64 x (.f64 y y)) #s(literal -1 binary64)))) #s(literal -1 binary64))
(*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x y) x))
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) x)
(*.f64 (fma.f64 x (/.f64 x y) x) #s(literal 1 binary64))
(*.f64 (neg.f64 x) (+.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) y)))
(.f64 (fma.f64 x (/.f64 (.f64 x x) (.f64 y (.f64 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 (fma.f64 x (/.f64 (.f64 x x) (.f64 y (.f64 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 x (/.f64 x (.f64 y y)) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal -1 binary64))) x))
(.f64 (fma.f64 x (/.f64 x (.f64 y y)) #s(literal -1 binary64)) (/.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 x (/.f64 x y) x)))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) y)) (neg.f64 x))
(.f64 (fma.f64 x (.f64 x x) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (/.f64 (.f64 x x) y)) (.f64 (/.f64 (.f64 x x) (.f64 y y)) (.f64 x x)))))
(.f64 (-.f64 (.f64 (/.f64 (.f64 x x) (.f64 y y)) (.f64 x x)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 x x) y) x)))
(.f64 (fma.f64 x (/.f64 (.f64 x (.f64 x x)) (.f64 y (*.f64 y y))) x) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 x (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 x (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) x) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (-.f64 #s(literal 1 binary64) (/.f64 x y))) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))))) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 (.f64 x x) (.f64 y y))) (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 y y) (.f64 y y)))))
(.f64 (/.f64 (fma.f64 x (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) x) (.f64 (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 x (/.f64 x (.f64 y y)) #s(literal -1 binary64)) (/.f64 x y)))) (+.f64 (fma.f64 x (/.f64 x (.f64 y y)) #s(literal -1 binary64)) (/.f64 x y)))
(.f64 (/.f64 (.f64 x (fma.f64 x (/.f64 x (.f64 y y)) #s(literal -1 binary64))) (fma.f64 x (/.f64 x (.f64 y y)) #s(literal -1 binary64))) (+.f64 (/.f64 x y) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 x (fma.f64 x (/.f64 x (.f64 y y)) #s(literal -1 binary64))) (fma.f64 x (/.f64 (.f64 x x) (.f64 y (.f64 y y))) #s(literal -1 binary64))) (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (.f64 x x) y)))
(+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (.f64 (/.f64 (.f64 x x) y) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (.f64 x x) y)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(+.f64 (.f64 (/.f64 (fma.f64 x (/.f64 x y) x) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (.f64 x x)) (.f64 (/.f64 (fma.f64 x (/.f64 x y) x) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
(+.f64 (.f64 (/.f64 (fma.f64 x (/.f64 x y) x) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 (fma.f64 x (/.f64 x y) x) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (*.f64 x x)))
(+.f64 (.f64 (/.f64 (fma.f64 x (/.f64 x y) x) (fma.f64 x x #s(literal -1 binary64))) x) (.f64 (/.f64 (fma.f64 x (/.f64 x y) x) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (.f64 (/.f64 (.f64 x x) y) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(+.f64 (.f64 (.f64 x x) (/.f64 (fma.f64 x (/.f64 x y) x) (fma.f64 x (.f64 x x) #s(literal 1 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x (/.f64 x y) x) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))))
(+.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x (/.f64 x y) x) (fma.f64 x (.f64 x x) #s(literal 1 binary64)))) (.f64 (.f64 x x) (/.f64 (fma.f64 x (/.f64 x y) x) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))))
(+.f64 (.f64 x (/.f64 (fma.f64 x (/.f64 x y) x) (fma.f64 x x #s(literal -1 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x (/.f64 x y) x) (fma.f64 x x #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (/.f64 x y) x))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 x (/.f64 x y) x) (-.f64 #s(literal -1 binary64) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) x)) (/.f64 (fma.f64 x (/.f64 x y) x) (-.f64 #s(literal -1 binary64) x)))
(fma.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (.f64 x x) y)))
(fma.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (.f64 (/.f64 (.f64 x x) y) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(fma.f64 x (/.f64 (fma.f64 x (/.f64 x y) x) (fma.f64 x x #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x (/.f64 x y) x) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (.f64 x x) y)))
(fma.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x #s(literal 1 binary64))) (.f64 (/.f64 (.f64 x x) y) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(fma.f64 (.f64 x x) (/.f64 (fma.f64 x (/.f64 x y) x) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x (/.f64 x y) x) (fma.f64 x (.f64 x x) #s(literal 1 binary64)))))
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(.f64 (fma.f64 (neg.f64 x) (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(*.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (fma.f64 x (.f64 x x) #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 x #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (fma.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x))) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))))
(.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (*.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x))) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))

eval74.0ms (0.9%)

Memory: -5.1MiB live, 78.8MiB allocated
Compiler: Compiled 10 937 to 1 188 computations (89.1% saved)

prune139.0ms (1.7%)

Memory

22.1MiB live, 133.5MiB allocated

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	487	12	499
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	488	12	500

Accuracy

100.0%

Counts

500 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	91.4%	(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64)))
	51.6%	(/.f64 (*.f64 x (fma.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
▶	37.5%	(/.f64 (*.f64 x #s(approx (+ (/ x y) 1) (/.f64 x y))) (+.f64 x #s(literal 1 binary64)))
	30.5%	(/.f64 #s(approx (* x (+ (/ x y) 1)) (/.f64 (*.f64 x x) y)) (+.f64 x #s(literal 1 binary64)))
	99.9%	(/.f64 x (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64))))
▶	99.9%	(*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 (/.f64 x y) #s(literal 1 binary64)))
	43.7%	#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)))
	52.7%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (.f64 x x) (.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) x))
▶	62.3%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x (-.f64 (/.f64 x y) x) x))
	55.7%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
▶	33.0%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))
▶	41.7%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 x (/.f64 x (fma.f64 x y y))))

Compiler

Compiled 294 to 166 computations (43.5% saved)

simplify179.0ms (2.2%)

Memory

-44.2MiB live, 56.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

1 872×	`lower-fma.f32`
1 868×	`lower-fma.f64`
1 000×	`lower-*.f32`
994×	`lower-*.f64`
488×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	172
0	39	172
1	72	172
2	104	172
3	212	172
4	377	172
5	602	172
6	878	172
7	1354	172
8	2007	172
9	2600	172
10	2791	172
11	2815	172
12	2821	172
13	2824	172
14	2825	172
15	2893	172
16	2919	172
17	2919	172
0	2919	168

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize115.0ms (1.4%)

Memory

27.1MiB live, 105.9MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 x #s(literal 1 binary64))
accuracy	0.05859375	(*.f64 x #s(approx (+ (/ x y) 1) (/.f64 x y)))
accuracy	5.44268403395663	(/.f64 (*.f64 x #s(approx (+ (/ x y) 1) (/.f64 x y))) (+.f64 x #s(literal 1 binary64)))
accuracy	35.221474647946884	#s(approx (+ (/ x y) 1) (/.f64 x y))
accuracy	0	(fma.f64 x y y)
accuracy	0.19140625	(*.f64 x (/.f64 x (fma.f64 x y y)))
accuracy	6.381617007362782	(/.f64 x (fma.f64 x y y))
accuracy	34.559692938530084	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 x (/.f64 x (fma.f64 x y y))))
accuracy	0	(/.f64 x y)
accuracy	0.00390625	(-.f64 (/.f64 x y) x)
accuracy	0.04296875	(fma.f64 x (-.f64 (/.f64 x y) x) x)
accuracy	24.067295617101358	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x (-.f64 (/.f64 x y) x) x))
accuracy	0	(/.f64 x y)
accuracy	42.86877629651396	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))
accuracy	0	(+.f64 (/.f64 x y) #s(literal 1 binary64))
accuracy	0	(+.f64 x #s(literal 1 binary64))
accuracy	0.0078125	(/.f64 x (+.f64 x #s(literal 1 binary64)))
accuracy	0.046875	(*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 (/.f64 x y) #s(literal 1 binary64)))

Samples

64.0ms

256×

valid

Compiler

Compiled 144 to 19 computations (86.8% saved)

Precisions

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

ival-mult: 7.0ms (34.7% of total)

ival-div: 6.0ms (29.8% of total)

ival-add: 5.0ms (24.8% of total)

ival-sub: 1.0ms (5% of total)

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

exact: 0.0ms (0% of total)

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

series54.0ms (0.7%)

Memory

-24.6MiB live, 18.5MiB allocated

Counts

16 → 360

Calls

Call 1

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

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

Calls

90 calls:

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

simplify417.0ms (5.1%)

Memory

30.9MiB live, 185.8MiB allocated

Algorithm

1×	egg-herbie

Rules

13 432×	`lower-fma.f64`
13 432×	`lower-fma.f32`
4 184×	`lower-*.f64`
4 184×	`lower-*.f32`
2 854×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	189	3532
1	562	3329
2	1491	2946
3	6580	2914
0	8077	2772

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 347

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

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

rewrite509.0ms (6.2%)

Memory

-32.4MiB live, 369.2MiB allocated

Rules

5 132×	`lower-/.f32`
5 124×	`lower-/.f64`
4 372×	`lower-*.f32`
4 366×	`lower-*.f64`
4 020×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	148
0	39	148
1	150	148
2	1121	148
0	8494	144

Stop Event

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

Counts

16 → 939

Calls

Call 1

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

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

eval180.0ms (2.2%)

Memory: 34.4MiB live, 335.6MiB allocated
Compiler: Compiled 28 835 to 2 771 computations (90.4% saved)

prune182.0ms (2.2%)

Memory

-12.7MiB live, 398.6MiB allocated

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	1 456	10	1 466
Fresh	5	2	7
Picked	3	2	5
Done	0	0	0
Total	1 464	14	1 478

Accuracy

100.0%

Counts

1 478 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.6%	(/.f64 (*.f64 x (fma.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
▶	44.2%	(*.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64)))
▶	62.6%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x #s(approx (- (/ x y) x) (/.f64 x y)) x))
	47.7%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x #s(approx (- (/ x y) x) (neg.f64 x)) x))
	31.6%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 x x) (fma.f64 x y y)))
	41.8%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (/.f64 (fma.f64 x y y) x)))
▶	55.7%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
✓	33.0%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))
	31.6%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x y y))))
✓	41.7%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 x (/.f64 x (fma.f64 x y y))))
▶	21.4%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 x #s(approx (/ x (+ ( x y) y)) (/.f64 x y))))
	17.0%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* x (- (/ x y) x)) x) (/.f64 (*.f64 x x) y)))
▶	47.7%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* x (- (/ x y) x)) x) (-.f64 x (*.f64 x x))))
	32.1%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (* x (/ x (+ (* x y) y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)))))

Compiler

Compiled 277 to 138 computations (50.2% saved)

simplify168.0ms (2.1%)

Memory

20.5MiB live, 99.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 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	#s(approx (/ x (+ x 1)) #s(literal 1 binary64))
cost-diff	128	(*.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64)))
cost-diff	0	(/.f64 x y)
cost-diff	0	#s(approx (/ x (+ (* x y) y)) (/.f64 x y))
cost-diff	0	(.f64 x #s(approx (/ x (+ ( x y) y)) (/.f64 x y)))
cost-diff	0	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 x #s(approx (/ x (+ ( x y) y)) (/.f64 x y))))
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 (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
cost-diff	0	(*.f64 x x)
cost-diff	0	(-.f64 x (*.f64 x x))
cost-diff	0	#s(approx (+ (* x (- (/ x y) x)) x) (-.f64 x (*.f64 x x)))
cost-diff	0	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* x (- (/ x y) x)) x) (-.f64 x (*.f64 x x))))
cost-diff	0	(/.f64 x y)
cost-diff	0	#s(approx (- (/ x y) x) (/.f64 x y))
cost-diff	0	(fma.f64 x #s(approx (- (/ x y) x) (/.f64 x y)) x)
cost-diff	0	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x #s(approx (- (/ x y) x) (/.f64 x y)) x))

Rules

2 192×	`lower-fma.f32`
2 190×	`lower-fma.f64`
1 176×	`lower-*.f32`
1 170×	`lower-*.f64`
1 002×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	213
0	43	213
1	77	213
2	110	213
3	239	213
4	386	213
5	779	213
6	1228	213
7	1709	213
8	2784	213
9	3705	213
10	3868	213
11	3875	213
12	3887	213
13	3888	213
14	3892	213
15	3904	213
16	3906	213
17	3906	213
0	3906	204

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize72.0ms (0.9%)

Memory

-11.4MiB live, 146.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 x y)
accuracy	0	(+.f64 (/.f64 x y) #s(literal 1 binary64))
accuracy	0.046875	(*.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64)))
accuracy	35.66041568173442	#s(approx (/ x (+ x 1)) #s(literal 1 binary64))
accuracy	0	(/.f64 x y)
accuracy	0.19140625	(.f64 x #s(approx (/ x (+ ( x y) y)) (/.f64 x y)))
accuracy	26.837569661147697	#s(approx (/ x (+ (* x y) y)) (/.f64 x y))
accuracy	34.559692938530084	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 x #s(approx (/ x (+ ( x y) y)) (/.f64 x y))))
accuracy	0	(+.f64 x #s(literal 1 binary64))
accuracy	0.0078125	(/.f64 x (+.f64 x #s(literal 1 binary64)))
accuracy	28.34060039174417	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
accuracy	0	(*.f64 x x)
accuracy	0.01171875	(-.f64 x (*.f64 x x))
accuracy	17.245117022842514	#s(approx (+ (* x (- (/ x y) x)) x) (-.f64 x (*.f64 x x)))
accuracy	24.067295617101358	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* x (- (/ x y) x)) x) (-.f64 x (*.f64 x x))))
accuracy	0	(/.f64 x y)
accuracy	0.04296875	(fma.f64 x #s(approx (- (/ x y) x) (/.f64 x y)) x)
accuracy	24.067295617101358	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x #s(approx (- (/ x y) x) (/.f64 x y)) x))
accuracy	33.4691222147741	#s(approx (- (/ x y) x) (/.f64 x y))

Samples

49.0ms

256×

valid

Compiler

Compiled 141 to 21 computations (85.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-mult: 10.0ms (39.6% of total)

ival-div: 8.0ms (31.6% of total)

ival-add: 5.0ms (19.8% of total)

ival-sub: 2.0ms (7.9% of total)

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

exact: 0.0ms (0% of total)

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

series14.0ms (0.2%)

Memory

-9.5MiB live, 29.1MiB allocated

Counts

17 → 348

Calls

Call 1

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

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

Calls

87 calls:

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

simplify227.0ms (2.8%)

Memory

1.4MiB live, 395.8MiB allocated

Algorithm

1×	egg-herbie

Rules

13 630×	`lower-fma.f64`
13 630×	`lower-fma.f32`
3 838×	`lower-*.f64`
3 838×	`lower-*.f32`
2 828×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	176	3606
1	512	3357
2	1383	2968
3	6132	2936
0	8381	2809

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 336

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

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

rewrite233.0ms (2.8%)

Memory

32.5MiB live, 338.6MiB allocated

Rules

6 970×	`lower-fma.f32`
6 968×	`lower-fma.f64`
4 496×	`lower-/.f32`
4 492×	`lower-/.f64`
4 128×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	197
0	43	197
1	172	197
2	1231	197
0	8326	188

Stop Event

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

Counts

17 → 282

Calls

Call 1

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

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

eval111.0ms (1.4%)

Memory: -15.7MiB live, 184.6MiB allocated
Compiler: Compiled 10 697 to 851 computations (92% saved)

prune72.0ms (0.9%)

Memory

6.4MiB live, 127.0MiB allocated

Pruning

16 alts after pruning (10 fresh and 6 done)

	Pruned	Kept	Total
New	701	5	706
Fresh	2	5	7
Picked	1	4	5
Done	0	2	2
Total	704	16	720

Accuracy

100.0%

Counts

720 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	44.2%	(fma.f64 (/.f64 x y) #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) #s(approx (/ x (+ x 1)) #s(literal 1 binary64)))
✓	62.6%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x #s(approx (- (/ x y) x) (/.f64 x y)) x))
	31.6%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 x x) (fma.f64 x y y)))
	41.8%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (/.f64 (fma.f64 x y y) x)))
✓	55.7%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
✓	33.0%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))
	31.3%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (-.f64 (/.f64 (.f64 x (.f64 #s(approx (- (/ x y) x) (/.f64 x y)) (.f64 x #s(approx (- (/ x y) x) (/.f64 x y))))) (fma.f64 x #s(approx (- (/ x y) x) (/.f64 x y)) (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 x #s(approx (- (/ x y) x) (/.f64 x y)) (neg.f64 x)))))
▶	31.6%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x y y))))
✓	41.7%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 x (/.f64 x (fma.f64 x y y))))
✓	21.4%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 x #s(approx (/ x (+ ( x y) y)) (/.f64 x y))))
▶	12.6%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ x 1)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))))
▶	13.4%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ x 1)) #s(literal 1 binary64)))
	17.0%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* x (- (/ x y) x)) x) (/.f64 (*.f64 x x) y)))
✓	47.7%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* x (- (/ x y) x)) x) (-.f64 x (*.f64 x x))))
	7.1%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* x (- (/ x y) x)) x) #s(approx (- x (* x x)) (*.f64 x (neg.f64 x)))))
▶	32.1%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (* x (/ x (+ (* x y) y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)))))

Compiler

Compiled 305 to 141 computations (53.8% saved)

simplify114.0ms (1.4%)

Memory

22.8MiB live, 61.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

1 448×	`lower-fma.f32`
1 444×	`lower-fma.f64`
920×	`lower-*.f32`
914×	`lower-*.f64`
410×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	212
0	44	205
1	83	197
2	120	197
3	234	197
4	341	197
5	443	197
6	525	197
7	675	197
8	901	197
9	1761	197
10	2414	197
11	2701	197
12	2729	197
13	2749	197
14	2759	197
15	2791	197
16	2801	197
17	2801	197
0	2801	193

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize81.0ms (1%)

Memory

-6.3MiB live, 108.8MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0.33401738652089086	(/.f64 #s(literal 1 binary64) (fma.f64 x y y))
accuracy	14.859929254881912	(.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x y y)))
accuracy	34.559692938530084	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x y y))))
accuracy	0	(+.f64 x #s(literal -1 binary64))
accuracy	0.1015625	(*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)))
accuracy	34.559692938530084	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (* x (/ x (+ (* x y) y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)))))
accuracy	35.56385559080846	#s(approx (* x (/ x (+ (* x y) y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64))))
accuracy	0	(/.f64 #s(literal -1 binary64) x)
accuracy	0	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
accuracy	28.34060039174417	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ x 1)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))))
accuracy	36.26851885696266	#s(approx (/ x (+ x 1)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
accuracy	28.34060039174417	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ x 1)) #s(literal 1 binary64)))
accuracy	35.660415681734435	#s(approx (/ x (+ x 1)) #s(literal 1 binary64))
accuracy	0	(/.f64 x y)
accuracy	0.046875	(fma.f64 (/.f64 x y) #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) #s(approx (/ x (+ x 1)) #s(literal 1 binary64)))
accuracy	35.660415681734435	#s(approx (/ x (+ x 1)) #s(literal 1 binary64))

Samples

51.0ms

256×

valid

Compiler

Compiled 149 to 26 computations (82.6% saved)

Precisions

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

ival-mult: 13.0ms (41.1% of total)

ival-div: 12.0ms (37.9% of total)

ival-add: 7.0ms (22.1% of total)

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

exact: 0.0ms (0% of total)

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

series21.0ms (0.3%)

Memory

-9.4MiB live, 28.3MiB allocated

Counts

17 → 324

Calls

Call 1

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

81 calls:

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

simplify180.0ms (2.2%)

Memory

34.8MiB live, 223.2MiB allocated

Algorithm

1×	egg-herbie

Rules

8 462×	`lower-fma.f64`
8 462×	`lower-fma.f32`
2 882×	`lower-*.f64`
2 882×	`lower-*.f32`
2 612×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	171	3275
1	488	3164
2	1385	2778
3	5210	2699
0	8155	2606

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 315

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

rewrite262.0ms (3.2%)

Memory

-25.8MiB live, 295.2MiB allocated

Rules

5 176×	`lower-fma.f32`
5 172×	`lower-fma.f64`
4 442×	`lower-/.f32`
4 434×	`lower-/.f64`
4 036×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	187
0	44	178
1	186	172
2	1312	172
0	8487	168

Stop Event

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

Counts

17 → 421

Calls

Call 1

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

Outputs
(+.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) (/.f64 (*.f64 x #s(approx (/ x (+ x 1)) #s(literal 1 binary64))) y))
(+.f64 (/.f64 (*.f64 x #s(approx (/ x (+ x 1)) #s(literal 1 binary64))) y) #s(approx (/ x (+ x 1)) #s(literal 1 binary64)))
(+.f64 (/.f64 (/.f64 (.f64 (.f64 x x) (.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) #s(approx (/ x (+ x 1)) #s(literal 1 binary64)))) (.f64 y y)) (-.f64 (/.f64 (.f64 x #s(approx (/ x (+ x 1)) #s(literal 1 binary64))) y) #s(approx (/ x (+ x 1)) #s(literal 1 binary64)))) (neg.f64 (/.f64 (.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) #s(approx (/ x (+ x 1)) #s(literal 1 binary64))) (-.f64 (/.f64 (*.f64 x #s(approx (/ x (+ x 1)) #s(literal 1 binary64))) y) #s(approx (/ x (+ x 1)) #s(literal 1 binary64))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x x) (.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) #s(approx (/ x (+ x 1)) #s(literal 1 binary64)))) (.f64 y y)) (-.f64 (/.f64 (.f64 x #s(approx (/ x (+ x 1)) #s(literal 1 binary64))) y) #s(approx (/ x (+ x 1)) #s(literal 1 binary64)))) (/.f64 (.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) #s(approx (/ x (+ x 1)) #s(literal 1 binary64))) (-.f64 (/.f64 (*.f64 x #s(approx (/ x (+ x 1)) #s(literal 1 binary64))) y) #s(approx (/ x (+ x 1)) #s(literal 1 binary64)))))
(-.f64 (/.f64 (.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) #s(approx (/ x (+ x 1)) #s(literal 1 binary64))) (-.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) (/.f64 (.f64 x #s(approx (/ x (+ x 1)) #s(literal 1 binary64))) y))) (/.f64 (/.f64 (.f64 (.f64 x x) (.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) #s(approx (/ x (+ x 1)) #s(literal 1 binary64)))) (.f64 y y)) (-.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) (/.f64 (*.f64 x #s(approx (/ x (+ x 1)) #s(literal 1 binary64))) y))))
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (/ x (+ x 1)) #s(literal 1 binary64))) #s(approx (/ x (+ x 1)) #s(literal 1 binary64)))
(fma.f64 x (/.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) y) #s(approx (/ x (+ x 1)) #s(literal 1 binary64)))
(fma.f64 (/.f64 x y) #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) #s(approx (/ x (+ x 1)) #s(literal 1 binary64)))
(fma.f64 (/.f64 x y) (/.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(approx (/ x (+ x 1)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) (/.f64 (*.f64 x #s(approx (/ x (+ x 1)) #s(literal 1 binary64))) y))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(approx (/ x (+ x 1)) #s(literal 1 binary64))) y) #s(approx (/ x (+ x 1)) #s(literal 1 binary64)))
(fma.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) (/.f64 x y) #s(approx (/ x (+ x 1)) #s(literal 1 binary64)))
(fma.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) #s(literal 1 binary64) (/.f64 (*.f64 x #s(approx (/ x (+ x 1)) #s(literal 1 binary64))) y))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) #s(approx (/ x (+ x 1)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (.f64 (.f64 x x) (.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) #s(approx (/ x (+ x 1)) #s(literal 1 binary64)))) (.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 x #s(approx (/ x (+ x 1)) #s(literal 1 binary64))) y) #s(approx (/ x (+ x 1)) #s(literal 1 binary64)))) (neg.f64 (/.f64 (.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) #s(approx (/ x (+ x 1)) #s(literal 1 binary64))) (-.f64 (/.f64 (*.f64 x #s(approx (/ x (+ x 1)) #s(literal 1 binary64))) y) #s(approx (/ x (+ x 1)) #s(literal 1 binary64))))))
(fma.f64 (*.f64 x #s(approx (/ x (+ x 1)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) y) #s(approx (/ x (+ x 1)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (*.f64 x #s(approx (/ x (+ x 1)) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) y) #s(approx (/ x (+ x 1)) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) (neg.f64 x)) (/.f64 #s(literal -1 binary64) y) #s(approx (/ x (+ x 1)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (neg.f64 x) #s(approx (/ x (+ x 1)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) y) #s(approx (/ x (+ x 1)) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) y) x #s(approx (/ x (+ x 1)) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 x) y) #s(approx (/ x (+ x 1)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) y) #s(approx (/ x (+ x 1)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) y) #s(approx (/ x (+ x 1)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) (/.f64 (-.f64 (.f64 (/.f64 (.f64 x #s(approx (/ x (+ x 1)) #s(literal 1 binary64))) y) (.f64 x #s(approx (/ x (+ x 1)) #s(literal 1 binary64)))) (.f64 (.f64 x #s(approx (/ x (+ x 1)) #s(literal 1 binary64))) #s(approx (/ x (+ x 1)) #s(literal 1 binary64)))) y)) (fma.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) (.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) #s(approx (/ x (+ x 1)) #s(literal 1 binary64)))) (.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) (*.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) #s(approx (/ x (+ x 1)) #s(literal 1 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) (/.f64 (.f64 x #s(approx (/ x (+ x 1)) #s(literal 1 binary64))) y)) (-.f64 (.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) #s(approx (/ x (+ x 1)) #s(literal 1 binary64))) (/.f64 (.f64 (.f64 x x) (.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) #s(approx (/ x (+ x 1)) #s(literal 1 binary64)))) (.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 x x) (.f64 y y)) (-.f64 #s(literal 1 binary64) (/.f64 x y))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y (*.f64 y y)))) #s(approx (/ x (+ x 1)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) (.f64 (+.f64 (/.f64 (.f64 x x) (*.f64 y y)) #s(literal -1 binary64)) #s(approx (/ x (+ x 1)) #s(literal 1 binary64)))))
(/.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) y) #s(approx (/ x (+ x 1)) #s(literal 1 binary64))))))
(/.f64 (fma.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) (.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) #s(approx (/ x (+ x 1)) #s(literal 1 binary64)))) (.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) (.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) #s(approx (/ x (+ x 1)) #s(literal 1 binary64))))) (fma.f64 (/.f64 (.f64 x x) (.f64 y y)) (.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) #s(approx (/ x (+ x 1)) #s(literal 1 binary64))) (.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) (-.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) (/.f64 (*.f64 x #s(approx (/ x (+ x 1)) #s(literal 1 binary64))) y)))))
(/.f64 (fma.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) (.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) #s(approx (/ x (+ x 1)) #s(literal 1 binary64)))) (.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) (.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) #s(approx (/ x (+ x 1)) #s(literal 1 binary64))))) (fma.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) (/.f64 (-.f64 (.f64 (/.f64 (.f64 x #s(approx (/ x (+ x 1)) #s(literal 1 binary64))) y) (.f64 x #s(approx (/ x (+ x 1)) #s(literal 1 binary64)))) (.f64 (*.f64 x #s(approx (/ x (+ x 1)) #s(literal 1 binary64))) #s(approx (/ x (+ x 1)) #s(literal 1 binary64)))) y)))
(/.f64 (-.f64 (/.f64 (.f64 (.f64 x x) (.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) #s(approx (/ x (+ x 1)) #s(literal 1 binary64)))) (.f64 y y)) (.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) #s(approx (/ x (+ x 1)) #s(literal 1 binary64)))) (-.f64 (/.f64 (.f64 x #s(approx (/ x (+ x 1)) #s(literal 1 binary64))) y) #s(approx (/ x (+ x 1)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) (.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) #s(approx (/ x (+ x 1)) #s(literal 1 binary64)))) (.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) (.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) #s(approx (/ x (+ x 1)) #s(literal 1 binary64)))))) (neg.f64 (fma.f64 (/.f64 (.f64 x x) (.f64 y y)) (.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) #s(approx (/ x (+ x 1)) #s(literal 1 binary64))) (.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) (-.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) (/.f64 (*.f64 x #s(approx (/ x (+ x 1)) #s(literal 1 binary64))) y))))))
(/.f64 (neg.f64 (fma.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) (.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) #s(approx (/ x (+ x 1)) #s(literal 1 binary64)))) (.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) (.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) #s(approx (/ x (+ x 1)) #s(literal 1 binary64)))))) (neg.f64 (fma.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) (/.f64 (-.f64 (.f64 (/.f64 (.f64 x #s(approx (/ x (+ x 1)) #s(literal 1 binary64))) y) (.f64 x #s(approx (/ x (+ x 1)) #s(literal 1 binary64)))) (.f64 (*.f64 x #s(approx (/ x (+ x 1)) #s(literal 1 binary64))) #s(approx (/ x (+ x 1)) #s(literal 1 binary64)))) y))))
(/.f64 (neg.f64 (-.f64 (/.f64 (.f64 (.f64 x x) (.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) #s(approx (/ x (+ x 1)) #s(literal 1 binary64)))) (.f64 y y)) (.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) #s(approx (/ x (+ x 1)) #s(literal 1 binary64))))) (neg.f64 (-.f64 (/.f64 (.f64 x #s(approx (/ x (+ x 1)) #s(literal 1 binary64))) y) #s(approx (/ x (+ x 1)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) #s(approx (/ x (+ x 1)) #s(literal 1 binary64))) (/.f64 (.f64 (.f64 x x) (.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) #s(approx (/ x (+ x 1)) #s(literal 1 binary64)))) (.f64 y y))) (-.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) (/.f64 (.f64 x #s(approx (/ x (+ x 1)) #s(literal 1 binary64))) y)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) #s(approx (/ x (+ x 1)) #s(literal 1 binary64))) (+.f64 (/.f64 (.f64 x x) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (/.f64 x y))))
(/.f64 (.f64 (+.f64 (/.f64 (.f64 x x) (*.f64 y y)) #s(literal -1 binary64)) #s(approx (/ x (+ x 1)) #s(literal 1 binary64))) (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 x x) (.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) #s(approx (/ x (+ x 1)) #s(literal 1 binary64)))) (.f64 y y)) (-.f64 (/.f64 (.f64 x #s(approx (/ x (+ x 1)) #s(literal 1 binary64))) y) #s(approx (/ x (+ x 1)) #s(literal 1 binary64)))) (.f64 (-.f64 (/.f64 (.f64 x #s(approx (/ x (+ x 1)) #s(literal 1 binary64))) y) #s(approx (/ x (+ x 1)) #s(literal 1 binary64))) (.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) #s(approx (/ x (+ x 1)) #s(literal 1 binary64))))) (.f64 (-.f64 (/.f64 (.f64 x #s(approx (/ x (+ x 1)) #s(literal 1 binary64))) y) #s(approx (/ x (+ x 1)) #s(literal 1 binary64))) (-.f64 (/.f64 (.f64 x #s(approx (/ x (+ x 1)) #s(literal 1 binary64))) y) #s(approx (/ x (+ x 1)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) (.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) #s(approx (/ x (+ x 1)) #s(literal 1 binary64)))) (.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) (.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) #s(approx (/ x (+ x 1)) #s(literal 1 binary64))))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 (.f64 x x) (.f64 y y)) (.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) #s(approx (/ x (+ x 1)) #s(literal 1 binary64))) (.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) (-.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) (/.f64 (*.f64 x #s(approx (/ x (+ x 1)) #s(literal 1 binary64))) y)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 (.f64 (.f64 x x) (.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) #s(approx (/ x (+ x 1)) #s(literal 1 binary64)))) (.f64 y y)) (.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) #s(approx (/ x (+ x 1)) #s(literal 1 binary64)))))) (neg.f64 (neg.f64 (-.f64 (/.f64 (.f64 x #s(approx (/ x (+ x 1)) #s(literal 1 binary64))) y) #s(approx (/ x (+ x 1)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) #s(approx (/ x (+ x 1)) #s(literal 1 binary64))) (/.f64 (.f64 (.f64 x x) (.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) #s(approx (/ x (+ x 1)) #s(literal 1 binary64)))) (.f64 y y)))) (neg.f64 (-.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) (/.f64 (.f64 x #s(approx (/ x (+ x 1)) #s(literal 1 binary64))) y))))
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(fma.f64 (/.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
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eval88.0ms (1.1%)

Memory: 30.4MiB live, 180.3MiB allocated
Compiler: Compiled 11 722 to 1 074 computations (90.8% saved)

prune154.0ms (1.9%)

Memory

-44.5MiB live, 211.9MiB allocated

Pruning

17 alts after pruning (8 fresh and 9 done)

	Pruned	Kept	Total
New	761	3	764
Fresh	0	5	5
Picked	2	3	5
Done	0	6	6
Total	763	17	780

Accuracy

100.0%

Counts

780 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	44.2%	(fma.f64 (/.f64 x y) #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) #s(approx (/ x (+ x 1)) #s(literal 1 binary64)))
✓	62.6%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x #s(approx (- (/ x y) x) (/.f64 x y)) x))
	31.6%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 x x) (fma.f64 x y y)))
	41.8%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (/.f64 (fma.f64 x y y) x)))
✓	55.7%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
✓	33.0%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))
	31.3%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (-.f64 (/.f64 (.f64 x (.f64 #s(approx (- (/ x y) x) (/.f64 x y)) (.f64 x #s(approx (- (/ x y) x) (/.f64 x y))))) (fma.f64 x #s(approx (- (/ x y) x) (/.f64 x y)) (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 x #s(approx (- (/ x y) x) (/.f64 x y)) (neg.f64 x)))))
	17.0%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 (.f64 x x) #s(approx (/ 1 (+ (* x y) y)) (/.f64 #s(literal 1 binary64) y))))
✓	41.7%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 x (/.f64 x (fma.f64 x y y))))
✓	21.4%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 x #s(approx (/ x (+ ( x y) y)) (/.f64 x y))))
✓	12.6%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ x 1)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))))
	2.3%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ x 1)) #s(approx (+ 1 (/ -1 x)) (/.f64 #s(literal -1 binary64) x))))
✓	13.4%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ x 1)) #s(literal 1 binary64)))
	17.0%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* x (- (/ x y) x)) x) (/.f64 (*.f64 x x) y)))
✓	47.7%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* x (- (/ x y) x)) x) (-.f64 x (*.f64 x x))))
	7.1%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* x (- (/ x y) x)) x) #s(approx (- x (* x x)) (*.f64 x (neg.f64 x)))))
	32.1%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (* (* x x) (/ 1 (+ (* x y) y))) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))

Compiler

Compiled 484 to 145 computations (70% saved)

regimes31.0ms (0.4%)

Memory

26.3MiB live, 64.3MiB allocated

Counts

31 → 1

Calls

Call 1

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

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

Calls

3 calls:

12.0ms	y
9.0ms	x
8.0ms	(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))

Results

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

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes31.0ms (0.4%)

Memory

-22.6MiB live, 57.6MiB allocated

Counts

25 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

13.0ms	x
10.0ms	(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
8.0ms	y

Results

Accuracy	Segments	Branch
99.9%	3	`x`
91.4%	1	`y`
99.9%	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)

regimes20.0ms (0.2%)

Memory

0.3MiB live, 36.4MiB allocated

Counts

24 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

11.0ms	(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
7.0ms	x

Results

Accuracy	Segments	Branch
95.0%	3	`(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))`
98.5%	3	`x`

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes6.0ms (0.1%)

Memory

11.9MiB live, 11.9MiB allocated

Counts

15 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
98.5%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes18.0ms (0.2%)

Memory

-7.4MiB live, 28.7MiB allocated

Counts

12 → 4

Calls

Call 1

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

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

Calls

3 calls:

9.0ms	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
77.3%	5	`y`
94.1%	4	`(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))`
86.7%	3	`x`

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes8.0ms (0.1%)

Memory

20.6MiB live, 20.6MiB allocated

Counts

11 → 4

Calls

Call 1

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

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

Calls

2 calls:

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
75.8%	3	`x`
86.3%	4	`(/.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)

regimes4.0ms (0.1%)

Memory

11.9MiB live, 11.9MiB allocated

Counts

10 → 4

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

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

Results

Accuracy	Segments	Branch
86.2%	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

-27.5MiB live, 10.0MiB allocated

Counts

9 → 3

Calls

Call 1

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

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

Calls

1 calls:

8.0ms

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

Results

Accuracy	Segments	Branch
84.5%	3	`(/.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)

regimes4.0ms (0%)

Memory

7.9MiB live, 7.9MiB allocated

Counts

8 → 4

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
84.0%	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)

regimes3.0ms (0%)

Memory

7.7MiB live, 7.7MiB allocated

Counts

7 → 4

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
83.7%	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

15.5MiB live, 15.5MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
47.7%	1	`y`
54.9%	3	`x`
58.6%	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)

regimes26.0ms (0.3%)

Memory

-32.1MiB live, 14.4MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs

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

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

Outputs

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

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

Calls

3 calls:

22.0ms	(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
17.1%	3	`y`
13.4%	1	`x`
18.5%	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)

regimes3.0ms (0%)

Memory

7.3MiB live, 7.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
13.4%	1	`y`
13.4%	1	`(/.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)

bsearch46.0ms (0.6%)

Memory

-15.2MiB live, 21.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
3.0ms	140359874392888.95	1.0336422793689985e+37
8.0ms	-6.498902863025329e+117	-1.5615854687138726e+117

Samples

6.0ms

128×

valid

Compiler

Compiled 208 to 125 computations (39.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-div: 2.0ms (51.5% of total)

ival-add: 1.0ms (25.8% of total)

ival-mult: 1.0ms (25.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch56.0ms (0.7%)

Memory

22.7MiB live, 60.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
40.0ms	0.6017939532673957	180387.01037835176
14.0ms	-11570819759150.111	-5.2244361818392084e-5

Samples

43.0ms

304×

valid

Compiler

Compiled 453 to 241 computations (46.8% saved)

Precisions

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

ival-add: 30.0ms (82.3% of total)

ival-div: 4.0ms (11% of total)

ival-mult: 2.0ms (5.5% of total)

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

exact: 0.0ms (0% of total)

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

bsearch11.0ms (0.1%)

Memory

-19.0MiB live, 18.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
6.0ms	0.6017939532673957	180387.01037835176
1.0ms	-11570819759150.111	-5.2244361818392084e-5

Samples

3.0ms

64×

valid

Compiler

Compiled 434 to 222 computations (48.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-div: 1.0ms (51.3% of total)

ival-add: 1.0ms (51.3% of total)

ival-true: 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

1.3MiB live, 1.3MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.0057129664977347	1801.9411538720537
0.0ms	3.6048736258153167e-22	8.158292044383443e-22
0.0ms	-7.654501032563352e+36	-7.396847861461482e+35

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.0057129664977347	1801.9411538720537
0.0ms	-1.2204611981202364e-26	-4.3730335169901586e-29
0.0ms	-7.654501032563352e+36	-7.396847861461482e+35

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.0057129664977347	1801.9411538720537
0.0ms	-1.2204611981202364e-26	-4.3730335169901586e-29
0.0ms	-7.654501032563352e+36	-7.396847861461482e+35

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0057129664977347	1801.9411538720537
0.0ms	-4.5750310216023054e-15	-3.253687831741168e-25

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.0057129664977347	1801.9411538720537
0.0ms	0.37569997816500383	0.9999900541920231
0.0ms	-4.5750310216023054e-15	-3.253687831741168e-25

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.0057129664977347	1801.9411538720537
0.0ms	0.37569997816500383	0.9999900541920231
0.0ms	-4.5750310216023054e-15	-3.253687831741168e-25

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.37569997816500383	0.9999900541920231

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.11627845417771e-156	9.79043991223526e-155

Compiler

Compiled 16 to 13 computations (18.8% saved)

simplify18.0ms (0.2%)

Memory

-10.4MiB live, 36.9MiB allocated

Algorithm

1×	egg-herbie

Rules

14×	`+-commutative_binary64`
12×	`*-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	101	999
1	118	999
2	124	999
3	127	999
4	128	999

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 (/.f64 x y) #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -1600000000000000024895065807146948838829122235073698293391632928689334049863609125223976623864075916281930049388544000 binary64)) (fma.f64 (/.f64 x y) #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) #s(approx (/ x (+ x 1)) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 200000000000000 binary64)) (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) (fma.f64 (/.f64 x y) #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) #s(approx (/ x (+ x 1)) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -1 binary64)) (fma.f64 (/.f64 x y) #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) #s(approx (/ x (+ x 1)) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 7385903388887613/9007199254740992 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x (-.f64 (/.f64 x y) x) x)) (fma.f64 (/.f64 x y) #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) #s(approx (/ x (+ x 1)) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -1 binary64)) (fma.f64 (/.f64 x y) #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) #s(approx (/ x (+ x 1)) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 1 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x #s(approx (- (/ x y) x) (/.f64 x y)) x)) (fma.f64 (/.f64 x y) #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) #s(approx (/ x (+ x 1)) #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 -4999999999999999769381329101060571136 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 5316911983139663/10633823966279326983230456482242756608 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x #s(approx (- (/ x y) x) (/.f64 x y)) x)) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 x #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 -4999999999999999769381329101060571136 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 -1742245718635205/174224571863520493293247799005065324265472 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (.f64 x #s(approx (/ x (+ ( x y) y)) (/.f64 x y)))) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 x #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 -4999999999999999769381329101060571136 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 -1742245718635205/174224571863520493293247799005065324265472 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* x (- (/ x y) x)) x) (/.f64 (.f64 x x) y))) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 x #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 -2535301200456459/633825300114114700748351602688 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 2 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 x #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 -2535301200456459/633825300114114700748351602688 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 1/2 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* x (- (/ x y) x)) x) (-.f64 x (.f64 x x)))) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ x 1)) (+.f64 #s(literal 1 binary64) (/.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 -2535301200456459/633825300114114700748351602688 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 1/2 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* x (- (/ x y) x)) x) (-.f64 x (.f64 x x)))) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ x 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 1/2 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* x (- (/ x y) x)) x) (-.f64 x (.f64 x x)))) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ x 1)) #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 4830671903771573/966134380754314586173837972732996836074731832426608749664308812862879785572390106134048441645480644490615904007875544294341269665260746913935727168366770187174245203705856 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* x (- (/ x y) x)) x) #s(approx (- x (* x x)) (.f64 x (neg.f64 x))))) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ x 1)) #s(literal 1 binary64))))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ x 1)) #s(literal 1 binary64)))

Outputs
(*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 (/.f64 x y) #s(literal 1 binary64)))
(*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(if (<=.f64 x #s(literal -1600000000000000024895065807146948838829122235073698293391632928689334049863609125223976623864075916281930049388544000 binary64)) (fma.f64 (/.f64 x y) #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) #s(approx (/ x (+ x 1)) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 200000000000000 binary64)) (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) (fma.f64 (/.f64 x y) #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) #s(approx (/ x (+ x 1)) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -1 binary64)) (fma.f64 (/.f64 x y) #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) #s(approx (/ x (+ x 1)) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 7385903388887613/9007199254740992 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x (-.f64 (/.f64 x y) x) x)) (fma.f64 (/.f64 x y) #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) #s(approx (/ x (+ x 1)) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -1 binary64)) (fma.f64 (/.f64 x y) #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) #s(approx (/ x (+ x 1)) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 1 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x #s(approx (- (/ x y) x) (/.f64 x y)) x)) (fma.f64 (/.f64 x y) #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) #s(approx (/ x (+ x 1)) #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 -4999999999999999769381329101060571136 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 5316911983139663/10633823966279326983230456482242756608 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x #s(approx (- (/ x y) x) (/.f64 x y)) x)) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)))))
(if (<=.f64 (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal -4999999999999999769381329101060571136 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) (if (<=.f64 (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal 5316911983139663/10633823966279326983230456482242756608 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x #s(approx (- (/ x y) x) (/.f64 x y)) x)) (if (<=.f64 (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 x #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 -4999999999999999769381329101060571136 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 -1742245718635205/174224571863520493293247799005065324265472 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (.f64 x #s(approx (/ x (+ ( x y) y)) (/.f64 x y)))) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)))))
(if (<=.f64 (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal -4999999999999999769381329101060571136 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) (if (<=.f64 (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal -1742245718635205/174224571863520493293247799005065324265472 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (.f64 x #s(approx (/ x (+ ( x y) y)) (/.f64 x y)))) (if (<=.f64 (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 x #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 -4999999999999999769381329101060571136 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 -1742245718635205/174224571863520493293247799005065324265472 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* x (- (/ x y) x)) x) (/.f64 (.f64 x x) y))) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)))))
(if (<=.f64 (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal -4999999999999999769381329101060571136 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) (if (<=.f64 (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal -1742245718635205/174224571863520493293247799005065324265472 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* x (- (/ x y) x)) x) (/.f64 (.f64 x x) y))) (if (<=.f64 (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 x #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 -2535301200456459/633825300114114700748351602688 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 2 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))))
(if (<=.f64 (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal -2535301200456459/633825300114114700748351602688 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) (if (<=.f64 (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 x #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 -2535301200456459/633825300114114700748351602688 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 1/2 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* x (- (/ x y) x)) x) (-.f64 x (.f64 x x)))) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ x 1)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)))))
(if (<=.f64 (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal -2535301200456459/633825300114114700748351602688 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) (if (<=.f64 (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* x (- (/ x y) x)) x) (-.f64 x (.f64 x x)))) (if (<=.f64 (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ x 1)) (+.f64 #s(literal 1 binary64) (/.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 -2535301200456459/633825300114114700748351602688 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 1/2 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* x (- (/ x y) x)) x) (-.f64 x (.f64 x x)))) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ x 1)) #s(literal 1 binary64))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)))))
(if (<=.f64 (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal -2535301200456459/633825300114114700748351602688 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) (if (<=.f64 (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* x (- (/ x y) x)) x) (-.f64 x (.f64 x x)))) (if (<=.f64 (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ x 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 1/2 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* x (- (/ x y) x)) x) (-.f64 x (.f64 x x)))) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ x 1)) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* x (- (/ x y) x)) x) (-.f64 x (.f64 x x)))) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ x 1)) #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 4830671903771573/966134380754314586173837972732996836074731832426608749664308812862879785572390106134048441645480644490615904007875544294341269665260746913935727168366770187174245203705856 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* x (- (/ x y) x)) x) #s(approx (- x (* x x)) (.f64 x (neg.f64 x))))) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ x 1)) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal 4830671903771573/966134380754314586173837972732996836074731832426608749664308812862879785572390106134048441645480644490615904007875544294341269665260746913935727168366770187174245203705856 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* x (- (/ x y) x)) x) #s(approx (- x (* x x)) (neg.f64 (.f64 x x))))) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ x 1)) #s(literal 1 binary64))))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ x 1)) #s(literal 1 binary64)))

soundness1.4s (17.1%)

Memory

39.5MiB live, 953.7MiB allocated

Rules

21 530×	`lower-fma.f64`
21 530×	`lower-fma.f32`
13 630×	`lower-fma.f64`
13 630×	`lower-fma.f32`
13 432×	`lower-fma.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
0	32	197
0	43	197
1	172	197
2	1231	197
0	8326	188
0	189	3532
1	562	3329
2	1491	2946
3	6580	2914
0	8077	2772
0	176	3606
1	512	3357
2	1383	2968
3	6132	2936
0	8381	2809
0	8	29
0	13	29
1	62	29
2	454	29
3	7068	29
0	8044	27

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×	iter limit
1×	node limit

Compiler

Compiled 938 to 297 computations (68.3% saved)

preprocess173.0ms (2.1%)

Memory: -16.3MiB live, 223.8MiB allocated
Compiler: Compiled 1 094 to 170 computations (84.5% 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%)

analyze70.0ms (0.9%)

sample1.6s (20%)

explain121.0ms (1.5%)

preprocess195.0ms (2.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify15.0ms (0.2%)

localize33.0ms (0.4%)

series11.0ms (0.1%)

simplify310.0ms (3.8%)

rewrite264.0ms (3.2%)

eval74.0ms (0.9%)

prune139.0ms (1.7%)

simplify179.0ms (2.2%)

localize115.0ms (1.4%)

series54.0ms (0.7%)

simplify417.0ms (5.1%)

rewrite509.0ms (6.2%)

eval180.0ms (2.2%)

prune182.0ms (2.2%)

simplify168.0ms (2.1%)

localize72.0ms (0.9%)

series14.0ms (0.2%)

simplify227.0ms (2.8%)

rewrite233.0ms (2.8%)

eval111.0ms (1.4%)

prune72.0ms (0.9%)

simplify114.0ms (1.4%)

localize81.0ms (1%)

series21.0ms (0.3%)

simplify180.0ms (2.2%)

rewrite262.0ms (3.2%)

eval88.0ms (1.1%)

prune154.0ms (1.9%)

regimes31.0ms (0.4%)

regimes31.0ms (0.4%)

regimes20.0ms (0.2%)

regimes6.0ms (0.1%)

regimes18.0ms (0.2%)

regimes8.0ms (0.1%)

regimes4.0ms (0.1%)

regimes8.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes8.0ms (0.1%)

regimes26.0ms (0.3%)

regimes3.0ms (0%)

bsearch46.0ms (0.6%)

bsearch56.0ms (0.7%)

bsearch11.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify18.0ms (0.2%)

soundness1.4s (17.1%)

preprocess173.0ms (2.1%)

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