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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze24.0ms (0.3%)

Memory

11.3MiB live, 47.4MiB 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)

sample969.0ms (11%)

Memory

-15.7MiB live, 1 145.9MiB allocated

Samples

667.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 362.0ms

ival-add: 159.0ms (43.9% of total)

ival-div: 135.0ms (37.3% of total)

ival-mult: 53.0ms (14.6% of total)

ival-true: 6.0ms (1.7% of total)

exact: 5.0ms (1.4% of total)

ival-assert: 3.0ms (0.8% of total)

Bogosity

explain143.0ms (1.6%)

Memory

4.1MiB live, 126.1MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))`	o/n	27	0
↳	`(/.f64 x y)`	overflow	33
↳	`(*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64)))`	overflow	60
↳	`(+.f64 (/.f64 x y) #s(literal 1 binary64))`	overflow	33

Confusion

	Predicted +	Predicted -
+	27	0
-	0	229

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	229
1	27

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

64.0ms

512×

valid

Compiler

Compiled 81 to 28 computations (65.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-mult: 18.0ms (58.5% of total)

ival-div: 7.0ms (22.7% of total)

ival-add: 5.0ms (16.2% of total)

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

exact: 0.0ms (0% of total)

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

preprocess185.0ms (2.1%)

Memory

14.1MiB live, 48.5MiB 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: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	90.0%	(/.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

17.0MiB live, 17.0MiB 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))

localize50.0ms (0.6%)

Memory

-8.3MiB live, 30.2MiB 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	0.06640625	(*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64)))
accuracy	6.36650512226943	(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))

Samples

16.0ms

256×

valid

Compiler

Compiled 34 to 10 computations (70.6% saved)

Precisions

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

ival-div: 4.0ms (50.7% of total)

ival-add: 2.0ms (25.4% of total)

ival-mult: 2.0ms (25.4% of total)

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

exact: 0.0ms (0% of total)

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

series42.0ms (0.5%)

Memory

-20.6MiB live, 28.0MiB 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	@	0	(* x (+ (/ x y) 1))

simplify703.0ms (8%)

Memory

28.2MiB live, 415.3MiB 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))

rewrite534.0ms (6.1%)

Memory

-28.3MiB live, 290.5MiB 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))))

eval169.0ms (1.9%)

Memory: 1.8MiB live, 135.9MiB allocated
Compiler: Compiled 10 937 to 1 188 computations (89.1% saved)

prune122.0ms (1.4%)

Memory

12.3MiB live, 169.7MiB allocated

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	488	11	499
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	489	11	500

Accuracy

100.0%

Counts

500 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	90.0%	(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64)))
▶	43.5%	(/.f64 (*.f64 x #s(approx (+ (/ x y) 1) (/.f64 x y))) (+.f64 x #s(literal 1 binary64)))
	39.7%	(/.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))))
	53.2%	(*.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (/.f64 x y) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (/.f64 x y) x)) #s(literal -1/2 binary64)))
	46.9%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
▶	58.0%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x (-.f64 (/.f64 x y) x) x))
	93.1%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y)) y))
	48.4%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
▶	36.7%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))
▶	48.3%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 x (/.f64 x (fma.f64 x y y))))

Compiler

Compiled 274 to 144 computations (47.4% saved)

simplify172.0ms (2%)

Memory

-25.3MiB live, 92.9MiB 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 (+.f64 x #s(literal 1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64)))
cost-diff	512	(/.f64 x (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64))))

Rules

2 000×	`lower-fma.f32`
1 996×	`lower-fma.f64`
1 080×	`lower-*.f32`
1 076×	`lower-*.f64`
804×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	176
0	39	176
1	67	176
2	99	176
3	207	176
4	385	176
5	623	176
6	932	176
7	1439	176
8	2209	176
9	3159	176
10	3552	176
11	3573	176
12	3577	176
13	3580	176
14	3581	176
15	3635	176
16	3659	176
17	3659	176
0	3659	172

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

localize98.0ms (1.1%)

Memory

14.2MiB live, 128.3MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 x #s(literal 1 binary64))
accuracy	0.06640625	(*.f64 x #s(approx (+ (/ x y) 1) (/.f64 x y)))
accuracy	6.36650512226943	(/.f64 (*.f64 x #s(approx (+ (/ x y) 1) (/.f64 x y))) (+.f64 x #s(literal 1 binary64)))
accuracy	30.245631145627232	#s(approx (+ (/ x y) 1) (/.f64 x y))
accuracy	0	(fma.f64 x y y)
accuracy	0.1875	(*.f64 x (/.f64 x (fma.f64 x y y)))
accuracy	6.423121395833474	(/.f64 x (fma.f64 x y y))
accuracy	29.7739181814317	#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	26.863698204316687	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x (-.f64 (/.f64 x y) x) x))
accuracy	0	(/.f64 x y)
accuracy	40.49407672216488	#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	0.0390625	(/.f64 x (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64))))
accuracy	7.7868210932602215	(/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64)))

Samples

63.0ms

256×

valid

Compiler

Compiled 148 to 19 computations (87.2% saved)

Precisions

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

ival-add: 33.0ms (67.9% of total)

ival-div: 8.0ms (16.5% of total)

ival-mult: 6.0ms (12.3% of total)

ival-sub: 1.0ms (2.1% of total)

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

exact: 0.0ms (0% of total)

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

series42.0ms (0.5%)

Memory

3.0MiB live, 44.5MiB allocated

Counts

16 → 372

Calls

Call 1

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

93 calls:

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

simplify285.0ms (3.2%)

Memory

22.6MiB live, 497.4MiB allocated

Algorithm

1×	egg-herbie

Rules

12 514×	`lower-fma.f64`
12 514×	`lower-fma.f32`
4 724×	`lower-+.f64`
4 724×	`lower-+.f32`
3 468×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	293	3920
1	931	3700
2	2726	3292
0	8826	3147

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 358

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

rewrite388.0ms (4.4%)

Memory

-28.5MiB live, 493.3MiB allocated

Rules

5 874×	`lower-fma.f32`
5 870×	`lower-fma.f64`
4 348×	`lower-/.f32`
4 338×	`lower-/.f64`
4 336×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	152
0	39	152
1	152	152
2	1077	152
0	8684	148

Stop Event

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

Counts

16 → 700

Calls

Call 1

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

eval247.0ms (2.8%)

Memory: 12.5MiB live, 282.5MiB allocated
Compiler: Compiled 23 382 to 2 112 computations (91% saved)

prune216.0ms (2.5%)

Memory

17.3MiB live, 232.3MiB allocated

Pruning

16 alts after pruning (13 fresh and 3 done)

	Pruned	Kept	Total
New	1 226	11	1 237
Fresh	4	2	6
Picked	2	3	5
Done	0	0	0
Total	1 232	16	1 248

Accuracy

100.0%

Counts

1 248 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	90.0%	(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64)))
✓	43.5%	(/.f64 (*.f64 x #s(approx (+ (/ x y) 1) (/.f64 x y))) (+.f64 x #s(literal 1 binary64)))
	48.3%	(/.f64 x #s(approx (/ (+ x 1) (+ (/ x y) 1)) (/.f64 (fma.f64 x y y) x)))
	48.4%	(/.f64 x #s(approx (/ (+ x 1) (+ (/ x y) 1)) (+.f64 x #s(literal 1 binary64))))
	37.4%	(/.f64 x #s(approx (/ (+ x 1) (+ (/ x y) 1)) #s(literal 1 binary64)))
▶	99.9%	(*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal -1 binary64) (/.f64 x y)))
	46.9%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
	58.2%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x #s(approx (- (/ x y) x) (/.f64 x y)) x))
	41.9%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 x x) (fma.f64 x y y)))
✓	36.7%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))
✓	48.3%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 x (/.f64 x (fma.f64 x y y))))
▶	48.2%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 x (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y y)) x)))
	24.2%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 x #s(approx (/ x (+ ( x y) y)) (/.f64 x y))))
▶	21.6%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* x (- (/ x y) x)) x) (/.f64 (*.f64 x x) y)))
▶	42.1%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* x (- (/ x y) x)) x) (-.f64 x (*.f64 x x))))
▶	36.4%	#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 295 to 157 computations (46.8% saved)

simplify149.0ms (1.7%)

Memory

-9.3MiB live, 29.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

1 808×	`lower-fma.f32`
1 806×	`lower-fma.f64`
888×	`lower-*.f32`
878×	`lower-*.f64`
394×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	247
0	54	245
1	101	235
2	167	235
3	384	235
4	763	235
5	1816	235
6	2570	235
7	2779	235
8	2812	235
9	2812	235
10	2856	235
11	2883	235
12	2883	235
13	2887	235
14	2899	235
15	2901	235
0	2901	226

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize141.0ms (1.6%)

Memory

3.4MiB live, 119.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.1241459363809557	(/.f64 #s(literal 1 binary64) (fma.f64 x y y))
accuracy	0.1875	(.f64 x (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y y)) x))
accuracy	6.435253225814168	(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y y)) x)
accuracy	29.7739181814317	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 x (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y y)) x)))
accuracy	0	(+.f64 x #s(literal -1 binary64))
accuracy	0.10546875	(*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)))
accuracy	29.7739181814317	#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	33.452049733195054	#s(approx (* x (/ x (+ (* x y) y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64))))
accuracy	0	(*.f64 x x)
accuracy	6.050241992261197	(/.f64 (*.f64 x x) y)
accuracy	26.863698204316687	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* x (- (/ x y) x)) x) (/.f64 (*.f64 x x) y)))
accuracy	34.28823781983883	#s(approx (+ (* x (- (/ x y) x)) x) (/.f64 (*.f64 x x) y))
accuracy	0	(*.f64 x x)
accuracy	0.006191259768442017	(-.f64 x (*.f64 x x))
accuracy	23.12506875919038	#s(approx (+ (* x (- (/ x y) x)) x) (-.f64 x (*.f64 x x)))
accuracy	26.863698204316687	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* x (- (/ x y) x)) x) (-.f64 x (*.f64 x x))))
accuracy	0	(-.f64 #s(literal -1 binary64) (/.f64 x y))
accuracy	0	(-.f64 #s(literal -1 binary64) x)
accuracy	0.0078125	(/.f64 x (-.f64 #s(literal -1 binary64) x))
accuracy	0.046875	(*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal -1 binary64) (/.f64 x y)))

Samples

87.0ms

256×

valid

Compiler

Compiled 174 to 31 computations (82.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 72.0ms

ival-sub: 41.0ms (57.2% of total)

ival-mult: 13.0ms (18.1% of total)

ival-div: 11.0ms (15.3% of total)

ival-add: 6.0ms (8.4% of total)

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

exact: 0.0ms (0% of total)

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

series39.0ms (0.4%)

Memory

0.1MiB live, 37.8MiB allocated

Counts

20 → 408

Calls

Call 1

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

102 calls:

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

simplify402.0ms (4.6%)

Memory

1.1MiB live, 400.4MiB allocated

Algorithm

1×	egg-herbie

Rules

12 324×	`lower-fma.f64`
12 324×	`lower-fma.f32`
4 238×	`lower-*.f64`
4 238×	`lower-*.f32`
2 764×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	185	4119
1	538	3935
2	1506	3398
3	7009	3374
0	8372	3230

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 398

Calls

Call 1

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

rewrite434.0ms (4.9%)

Memory

19.4MiB live, 370.5MiB allocated

Rules

5 712×	`lower-fma.f32`
5 710×	`lower-fma.f64`
4 952×	`lower-/.f32`
4 942×	`lower-/.f64`
4 430×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	224
0	54	218
1	224	212
2	1690	212
0	8649	204

Stop Event

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

Counts

20 → 552

Calls

Call 1

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

Outputs
(+.f64 (.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)) (.f64 x (/.f64 x (fma.f64 x y y))))
(+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 x (neg.f64 y)) (/.f64 x (-.f64 #s(literal -1 binary64) x))))
(-.f64 (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) x)) (/.f64 (/.f64 x y) (/.f64 (-.f64 #s(literal -1 binary64) x) x)))
(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 x y) (+.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) x) x)) (/.f64 (/.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (fma.f64 (/.f64 x y) (+.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) x) x)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x y))) (/.f64 (-.f64 #s(literal -1 binary64) x) x)) (/.f64 (/.f64 (/.f64 (.f64 x x) (.f64 y y)) (+.f64 #s(literal -1 binary64) (/.f64 x y))) (/.f64 (-.f64 #s(literal -1 binary64) x) x)))
(fma.f64 #s(literal -1 binary64) (/.f64 x (-.f64 #s(literal -1 binary64) x)) (*.f64 (/.f64 x (neg.f64 y)) (/.f64 x (-.f64 #s(literal -1 binary64) x))))
(fma.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (*.f64 x (/.f64 x (fma.f64 x y y))))
(fma.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 x (neg.f64 y)) (/.f64 x (-.f64 #s(literal -1 binary64) x))))
(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 (neg.f64 y)) (/.f64 x (-.f64 #s(literal -1 binary64) x))))
(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 (neg.f64 y)) (/.f64 x (-.f64 #s(literal -1 binary64) x))))
(fma.f64 (/.f64 x (-.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))) (*.f64 (/.f64 x (neg.f64 y)) (/.f64 x (-.f64 #s(literal -1 binary64) x))))
(fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (.f64 (/.f64 x (neg.f64 y)) (/.f64 x (-.f64 #s(literal -1 binary64) x))))
(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 (neg.f64 y)) (/.f64 x (-.f64 #s(literal -1 binary64) x))))
(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 (neg.f64 y)) (/.f64 x (-.f64 #s(literal -1 binary64) x))))
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 x (neg.f64 y)) (/.f64 x (-.f64 #s(literal -1 binary64) x))))
(fma.f64 (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (*.f64 (/.f64 x (neg.f64 y)) (/.f64 x (-.f64 #s(literal -1 binary64) x))))
(fma.f64 (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))) (.f64 (/.f64 x (neg.f64 y)) (/.f64 x (-.f64 #s(literal -1 binary64) x))))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))) (*.f64 (/.f64 x (neg.f64 y)) (/.f64 x (-.f64 #s(literal -1 binary64) x))))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (.f64 (/.f64 x (neg.f64 y)) (/.f64 x (-.f64 #s(literal -1 binary64) x))))
(fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal -1 binary64)))) (/.f64 x (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (*.f64 (/.f64 x (neg.f64 y)) (/.f64 x (-.f64 #s(literal -1 binary64) x))))
(fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 x (+.f64 x #s(literal 1 binary64))) (.f64 (/.f64 x (neg.f64 y)) (/.f64 x (-.f64 #s(literal -1 binary64) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 x y))))))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 (-.f64 #s(literal -1 binary64) x) x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 x y)))))
(/.f64 (*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 x y))) (-.f64 #s(literal -1 binary64) x))
(/.f64 (.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))))) (.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 (/.f64 x y) (+.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (.f64 y y)))) (.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) (/.f64 x y))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))))) (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) x) (fma.f64 (/.f64 x y) (+.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (.f64 y y)))) (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) x) (+.f64 #s(literal -1 binary64) (/.f64 x y))))
(/.f64 (.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))))) (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 (/.f64 x y) (+.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))
(/.f64 (.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (.f64 y y)))) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 x y))))
(/.f64 (.f64 (-.f64 #s(literal -1 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) x) (.f64 (fma.f64 (/.f64 x y) (+.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)))
(/.f64 (.f64 (-.f64 #s(literal -1 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) #s(literal 1 binary64)) (.f64 (fma.f64 (/.f64 x y) (+.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) x) x)))
(/.f64 (.f64 (-.f64 #s(literal -1 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (neg.f64 x)) (.f64 (fma.f64 (/.f64 x y) (+.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (.f64 y y))) x) (.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) (-.f64 #s(literal -1 binary64) x)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (.f64 y y))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 (-.f64 #s(literal -1 binary64) x) x)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (.f64 y y))) (neg.f64 x)) (.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 x y)))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal -1 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y (*.f64 y y))))) (fma.f64 (/.f64 x y) (+.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)))
(/.f64 (.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (*.f64 y y)))) (+.f64 #s(literal -1 binary64) (/.f64 x y)))
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) x) x))
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (neg.f64 x)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 x y))) (/.f64 (-.f64 #s(literal -1 binary64) x) x))
(/.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal -1 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y (*.f64 y y)))) (/.f64 x (-.f64 #s(literal -1 binary64) x))) (fma.f64 (/.f64 x y) (+.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (*.f64 y y))) (/.f64 x (-.f64 #s(literal -1 binary64) x))) (+.f64 #s(literal -1 binary64) (/.f64 x y)))
(/.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y))) (neg.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) x)))
(/.f64 (neg.f64 (.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))))) (neg.f64 (.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 (/.f64 x y) (+.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (.f64 y y))))) (neg.f64 (.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) (/.f64 x y)))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))))) (neg.f64 (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) x) (fma.f64 (/.f64 x y) (+.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (.f64 y y))))) (neg.f64 (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) x) (+.f64 #s(literal -1 binary64) (/.f64 x y)))))
(/.f64 (neg.f64 (.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))))) (neg.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 (/.f64 x y) (+.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (.f64 y y))))) (neg.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 x y)))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal -1 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) x)) (neg.f64 (.f64 (fma.f64 (/.f64 x y) (+.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal -1 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 (/.f64 x y) (+.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) x) x))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal -1 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (neg.f64 x))) (neg.f64 (.f64 (fma.f64 (/.f64 x y) (+.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (.f64 y y))) x)) (neg.f64 (.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) (-.f64 #s(literal -1 binary64) x))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (.f64 y y))) #s(literal 1 binary64))) (neg.f64 (.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 (-.f64 #s(literal -1 binary64) x) x))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (.f64 y y))) (neg.f64 x))) (neg.f64 (.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 x y))))) (-.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 (.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal -1 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y (*.f64 y y)))))) (neg.f64 (fma.f64 (/.f64 x y) (+.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (*.f64 y y))))) (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))) (neg.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) x)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (neg.f64 x))) (-.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 x y)))) (neg.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) x)))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 x y)))) (-.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal -1 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y (*.f64 y y)))) (/.f64 x (-.f64 #s(literal -1 binary64) x)))) (neg.f64 (fma.f64 (/.f64 x y) (+.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (*.f64 y y))) (/.f64 x (-.f64 #s(literal -1 binary64) x)))) (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y))))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 x (/.f64 x (fma.f64 x y y))) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)) (.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)) (-.f64 (.f64 (.f64 x (/.f64 x (fma.f64 x y y))) (.f64 x (/.f64 x (fma.f64 x y y)))) (.f64 (.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)) (.f64 x (/.f64 x (fma.f64 x y y)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 x (neg.f64 y)) (/.f64 x (-.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))) (-.f64 (.f64 (.f64 (/.f64 x (neg.f64 y)) (/.f64 x (-.f64 #s(literal -1 binary64) x))) (.f64 (/.f64 x (neg.f64 y)) (/.f64 x (-.f64 #s(literal -1 binary64) x)))) (.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (.f64 (/.f64 x (neg.f64 y)) (/.f64 x (-.f64 #s(literal -1 binary64) x)))))))
(pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 x y)))) #s(literal -1 binary64))
(.f64 x (.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 x (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (-.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x (-.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) x)))
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(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) y))))
(/.f64 #s(literal 1 binary64) (fma.f64 x y y))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) y)))
(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)) y)
(/.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x))) (neg.f64 y))
(pow.f64 (fma.f64 x y y) #s(literal -1 binary64))
(pow.f64 (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) y)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 x y y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (fma.f64 x y y) (fma.f64 x y y)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (fma.f64 x y y))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x y y)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y y)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (pow.f64 (fma.f64 x y y) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 x y y) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y))) (.f64 y (.f64 y y)))) (fma.f64 x (.f64 x (.f64 y y)) (.f64 y (-.f64 y (*.f64 x y)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y))) (.f64 y (.f64 y y)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 y y)) (.f64 y (-.f64 y (*.f64 x y))))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x y y) (-.f64 (.f64 x y) y))) (-.f64 (.f64 x y) y))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x y y) (-.f64 (.f64 x y) y))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) y)) #s(literal -1 binary64)))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) y) (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) y) (/.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(+.f64 x #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) x)
(-.f64 x #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) x)))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)))
(-.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(expm1.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))
(/.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) (neg.f64 x))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x))
(/.f64 (.f64 #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 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (neg.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) (neg.f64 x)))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 x (.f64 x x)) #s(literal 1 binary64)) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal -1 binary64) x)) (.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)))
(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 x #s(literal 1 binary64))) (.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)))
(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 (/.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (/.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x x) #s(literal -1 binary64)))) (neg.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) (-.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (.f64 x (.f64 x x)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal 1 binary64))) (/.f64 (.f64 x x) (+.f64 x #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)) (.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x))))))
(pow.f64 (/.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))
(*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))

eval283.0ms (3.2%)

Memory: -7.9MiB live, 223.3MiB allocated
Compiler: Compiled 15 422 to 1 606 computations (89.6% saved)

prune156.0ms (1.8%)

Memory

-13.9MiB live, 308.0MiB allocated

Pruning

20 alts after pruning (12 fresh and 8 done)

	Pruned	Kept	Total
New	966	6	972
Fresh	2	6	8
Picked	0	5	5
Done	0	3	3
Total	968	20	988

Accuracy

100.0%

Counts

988 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	90.0%	(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64)))
✓	43.5%	(/.f64 (*.f64 x #s(approx (+ (/ x y) 1) (/.f64 x y))) (+.f64 x #s(literal 1 binary64)))
	48.4%	(/.f64 x #s(approx (/ (+ x 1) (+ (/ x y) 1)) (+.f64 x #s(literal 1 binary64))))
	37.4%	(/.f64 x #s(approx (/ (+ x 1) (+ (/ x y) 1)) #s(literal 1 binary64)))
✓	99.9%	(*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal -1 binary64) (/.f64 x y)))
	58.2%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x #s(approx (- (/ x y) x) (/.f64 x y)) x))
	41.9%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 x x) (fma.f64 x y y)))
✓	36.7%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))
	47.0%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))
✓	48.3%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 x (/.f64 x (fma.f64 x y y))))
✓	48.2%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 x (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y y)) x)))
▶	24.2%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 x #s(approx (/ x (+ ( x y) y)) (/.f64 x y))))
✓	21.6%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* x (- (/ x y) x)) x) (/.f64 (*.f64 x x) y)))
	24.2%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* x (- (/ x y) x)) x) (/.f64 x (/.f64 y x))))
✓	42.1%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* x (- (/ x y) x)) x) (-.f64 x (*.f64 x x))))
	42.1%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* x (- (/ x y) x)) x) (*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) x)))
▶	8.9%	#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)))))
▶	36.5%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (* x (/ x (+ (* x y) y))) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))
✓	36.4%	#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)))))
▶	3.5%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (* x (/ x (+ (* x y) y))) #s(approx (* (/ 1 y) (+ x -1)) (/.f64 #s(literal -1 binary64) y))))

Compiler

Compiled 306 to 163 computations (46.7% saved)

simplify152.0ms (1.7%)

Memory

33.9MiB live, 112.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

1 856×	`lower-fma.f32`
1 854×	`lower-fma.f64`
936×	`lower-*.f32`
932×	`lower-*.f64`
540×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	271
0	53	269
1	94	261
2	127	261
3	273	261
4	465	261
5	817	261
6	1152	261
7	1594	261
8	2295	261
9	2668	261
10	2752	261
11	2754	261
12	2757	261
13	2758	261
14	2762	261
15	2774	261
16	2776	261
17	2776	261
0	2776	252

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize90.0ms (1%)

Memory

-29.7MiB live, 207.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 x y)
accuracy	0.1875	(.f64 x #s(approx (/ x (+ ( x y) y)) (/.f64 x y)))
accuracy	29.7739181814317	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 x #s(approx (/ x (+ ( x y) y)) (/.f64 x y))))
accuracy	30.245496523518252	#s(approx (/ x (+ (* x y) y)) (/.f64 x y))
accuracy	0	(+.f64 x #s(literal -1 binary64))
accuracy	0.0078125	(/.f64 (+.f64 x #s(literal -1 binary64)) y)
accuracy	29.7739181814317	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (* x (/ x (+ (* x y) y))) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))
accuracy	33.452049733195054	#s(approx (* x (/ x (+ (* x y) y))) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
accuracy	0	(/.f64 #s(literal -1 binary64) y)
accuracy	29.7739181814317	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (* x (/ x (+ (* x y) y))) #s(approx (* (/ 1 y) (+ x -1)) (/.f64 #s(literal -1 binary64) y))))
accuracy	30.092427436861747	#s(approx (* (/ 1 y) (+ x -1)) (/.f64 #s(literal -1 binary64) y))
accuracy	33.452049733195054	#s(approx (* x (/ x (+ (* x y) y))) #s(approx (* (/ 1 y) (+ x -1)) (/.f64 #s(literal -1 binary64) y)))
accuracy	0	(neg.f64 x)
accuracy	23.12506875919038	#s(approx (+ (* x (- (/ x y) x)) x) #s(approx (- x (* x x)) (*.f64 x (neg.f64 x))))
accuracy	26.863698204316687	#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)))))
accuracy	33.280377204293615	#s(approx (- x (* x x)) (*.f64 x (neg.f64 x)))
accuracy	0	(/.f64 x y)
accuracy	0	(+.f64 x #s(literal 1 binary64))
accuracy	0.0625	(fma.f64 (/.f64 x y) x x)
accuracy	6.36650512226943	(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64)))

Samples

58.0ms

256×

valid

Compiler

Compiled 156 to 30 computations (80.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-add: 15.0ms (34.9% of total)

ival-div: 12.0ms (27.9% of total)

ival-mult: 12.0ms (27.9% of total)

ival-sub: 2.0ms (4.7% of total)

ival-neg: 2.0ms (4.7% of total)

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

exact: 0.0ms (0% of total)

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

series16.0ms (0.2%)

Memory

29.8MiB live, 29.8MiB allocated

Counts

20 → 408

Calls

Call 1

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

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

Calls

102 calls:

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

simplify251.0ms (2.9%)

Memory

0.5MiB live, 315.9MiB allocated

Algorithm

1×	egg-herbie

Rules

11 872×	`lower-fma.f64`
11 872×	`lower-fma.f32`
3 896×	`lower-*.f64`
3 896×	`lower-*.f32`
2 534×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	183	4188
1	537	4022
2	1503	3233
3	6962	3211
0	8162	3073

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 394

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

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

rewrite280.0ms (3.2%)

Memory

-32.6MiB live, 374.6MiB allocated

Rules

5 654×	`lower-fma.f32`
5 652×	`lower-fma.f64`
5 030×	`lower-/.f32`
5 022×	`lower-/.f64`
3 992×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	257
0	53	247
1	212	247
2	1467	247
0	8469	238

Stop Event

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

Counts

20 → 429

Calls

Call 1

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

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

eval99.0ms (1.1%)

Memory: 13.9MiB live, 161.4MiB allocated
Compiler: Compiled 13 077 to 1 268 computations (90.3% saved)

prune105.0ms (1.2%)

Memory

14.5MiB live, 174.8MiB allocated

Pruning

20 alts after pruning (7 fresh and 13 done)

	Pruned	Kept	Total
New	872	2	874
Fresh	2	5	7
Picked	0	5	5
Done	0	8	8
Total	874	20	894

Accuracy

100.0%

Counts

894 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	90.0%	(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64)))
✓	43.5%	(/.f64 (*.f64 x #s(approx (+ (/ x y) 1) (/.f64 x y))) (+.f64 x #s(literal 1 binary64)))
	48.4%	(/.f64 x #s(approx (/ (+ x 1) (+ (/ x y) 1)) (+.f64 x #s(literal 1 binary64))))
	37.4%	(/.f64 x #s(approx (/ (+ x 1) (+ (/ x y) 1)) #s(literal 1 binary64)))
✓	99.9%	(*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal -1 binary64) (/.f64 x y)))
	41.9%	#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (/.f64 (*.f64 x x) (fma.f64 x y y)))
	47.0%	#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))
	58.2%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x #s(approx (- (/ x y) x) (/.f64 x y)) x))
✓	36.7%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))
✓	48.3%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 x (/.f64 x (fma.f64 x y y))))
✓	48.2%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 x (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y y)) x)))
✓	24.2%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 x #s(approx (/ x (+ ( x y) y)) (/.f64 x y))))
✓	21.6%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* x (- (/ x y) x)) x) (/.f64 (*.f64 x x) y)))
	24.2%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* x (- (/ x y) x)) x) (/.f64 x (/.f64 y x))))
✓	42.1%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* x (- (/ x y) x)) x) (-.f64 x (*.f64 x x))))
	42.1%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* x (- (/ x y) x)) x) (*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) x)))
✓	8.9%	#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)))))
✓	36.5%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (* x (/ x (+ (* x y) y))) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))
✓	36.4%	#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)))))
✓	3.5%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (* x (/ x (+ (* x y) y))) #s(approx (* (/ 1 y) (+ x -1)) (/.f64 #s(literal -1 binary64) y))))

Compiler

Compiled 471 to 161 computations (65.8% saved)

regimes29.0ms (0.3%)

Memory

4.1MiB live, 42.5MiB allocated

Counts

31 → 1

Calls

Call 1

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

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

Calls

3 calls:

10.0ms	y
9.0ms	x
9.0ms	(/.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)

regimes26.0ms (0.3%)

Memory

-0.7MiB live, 37.6MiB allocated

Counts

27 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

9.0ms	y
8.0ms	x
7.0ms	(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
99.9%	3	`x`
96.8%	3	`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)

regimes18.0ms (0.2%)

Memory

-14.5MiB live, 25.0MiB allocated

Counts

26 → 3

Calls

Call 1

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

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

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes16.0ms (0.2%)

Memory

24.2MiB live, 24.2MiB allocated

Counts

25 → 3

Calls

Call 1

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.3%	6	`(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))`
96.8%	3	`x`

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes12.0ms (0.1%)

Memory

-20.8MiB live, 17.5MiB allocated

Counts

15 → 3

Calls

Call 1

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

Outputs

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

Calls

2 calls:

6.0ms	y
5.0ms	x

Results

Accuracy	Segments	Branch
71.7%	4	`y`
96.6%	3	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory

14.4MiB live, 14.4MiB allocated

Counts

12 → 3

Calls

Call 1

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

Outputs

#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) 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 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) 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
81.7%	3	`(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))`
82.3%	3	`x`

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes8.0ms (0.1%)

Memory

13.8MiB live, 13.8MiB allocated

Counts

11 → 4

Calls

Call 1

Inputs
#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)) #s(approx (+ (* x (- (/ x y) x)) x) (*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) x)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (* x (/ x (+ (* x y) y))) #s(approx (* (/ 1 y) (+ x -1)) (/.f64 #s(literal -1 binary64) y))))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))
(/.f64 x #s(approx (/ (+ x 1) (+ (/ x y) 1)) #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 y) 1)) (+ x 1)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(/.f64 x #s(approx (/ (+ x 1) (+ (/ x y) 1)) (+.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)) #s(approx (* x (/ x (+ (* x y) y))) (/.f64 (+.f64 x #s(literal -1 binary64)) 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 #s(approx (/ x (+ ( x y) y)) (/.f64 x y))))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (* x (/ x (+ (* x y) y))) (/.f64 (+.f64 x #s(literal -1 binary64)) 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
82.9%	4	`(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))`
72.6%	3	`x`

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes5.0ms (0.1%)

Memory

-31.4MiB live, 7.2MiB allocated

Counts

10 → 4

Calls

Call 1

Inputs
#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)) #s(approx (+ (* x (- (/ x y) x)) x) (*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) x)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (* x (/ x (+ (* x y) y))) #s(approx (* (/ 1 y) (+ x -1)) (/.f64 #s(literal -1 binary64) y))))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))
(/.f64 x #s(approx (/ (+ x 1) (+ (/ x y) 1)) #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 y) 1)) (+ x 1)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(/.f64 x #s(approx (/ (+ x 1) (+ (/ x y) 1)) (+.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)) #s(approx (* x (/ x (+ (* x y) y))) (/.f64 (+.f64 x #s(literal -1 binary64)) 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)) #s(approx (+ (* x (- (/ x y) x)) x) (/.f64 (*.f64 x x) y)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (* x (/ x (+ (* x y) y))) (/.f64 (+.f64 x #s(literal -1 binary64)) 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
82.9%	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)

regimes4.0ms (0%)

Memory

6.7MiB live, 6.7MiB allocated

Counts

9 → 3

Calls

Call 1

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

Outputs

#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 y) 1)) (+ x 1)) (/.f64 x (+.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)))

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
81.3%	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)

regimes6.0ms (0.1%)

Memory

10.5MiB live, 10.5MiB allocated

Counts

7 → 3

Calls

Call 1

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

Outputs

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
70.7%	3	`x`
70.5%	3	`(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))`

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes6.0ms (0.1%)

Memory

11.8MiB live, 11.8MiB allocated

Counts

6 → 3

Calls

Call 1

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

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)) (/.f64 x y))

Calls

2 calls:

3.0ms	x
2.0ms	(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
70.3%	3	`(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))`
70.2%	3	`x`

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes9.0ms (0.1%)

Memory

-24.2MiB live, 13.8MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
42.1%	1	`y`
42.1%	1	`x`
42.1%	1	`(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))`

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes4.0ms (0%)

Memory

9.8MiB live, 9.8MiB 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 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)))))

Calls

3 calls:

1.0ms	x
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
8.9%	1	`x`
8.9%	1	`y`
8.9%	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)

bsearch26.0ms (0.3%)

Memory

-17.1MiB live, 26.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
12.0ms	30838651.12125523	7146166239596.492
3.0ms	-4.633507208521236e-62	-2.2256195816683304e-62

Samples

9.0ms

176×

valid

Compiler

Compiled 288 to 191 computations (33.7% saved)

Precisions

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

ival-div: 2.0ms (38% of total)

ival-add: 1.0ms (19% of total)

ival-mult: 1.0ms (19% of total)

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

exact: 0.0ms (0% of total)

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

bsearch12.0ms (0.1%)

Memory

20.0MiB live, 20.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	30838651.12125523	7146166239596.492
10.0ms	-7.338327920941077e+52	-2.972804525390761e+51

Samples

6.0ms

112×

valid

Compiler

Compiled 400 to 269 computations (32.8% saved)

Precisions

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

ival-div: 2.0ms (58.5% of total)

ival-add: 1.0ms (29.3% of total)

ival-mult: 1.0ms (29.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch27.0ms (0.3%)

Memory

1.3MiB live, 39.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	1.2280326412640614	407.3762165942292
14.0ms	-75.32859487399041	-0.09799088168523618

Samples

13.0ms

256×

valid

Compiler

Compiled 384 to 237 computations (38.3% saved)

Precisions

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

ival-div: 4.0ms (51.4% of total)

ival-add: 2.0ms (25.7% of total)

ival-mult: 2.0ms (25.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.2280326412640614	407.3762165942292
1.0ms	-75.32859487399041	-0.09799088168523618

Compiler

Compiled 368 to 221 computations (39.9% saved)

bsearch25.0ms (0.3%)

Memory

-9.4MiB live, 29.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.002193592008121597	1.2280326412640614
10.0ms	-4937.180474709107	-138.50242596744135

Samples

14.0ms

240×

valid

Compiler

Compiled 316 to 223 computations (29.4% saved)

Precisions

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

ival-div: 5.0ms (55.4% of total)

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

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

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

exact: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	4.4666448462515017e+111	3.1703238626612584e+112
0.0ms	1.2483745097289207	227262682.8547886
0.0ms	-2.307964750179277e+25	-7.879752907313067e-7

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	4.4666448462515017e+111	3.1703238626612584e+112
0.0ms	1.2483745097289207	227262682.8547886
0.0ms	-2.307964750179277e+25	-7.879752907313067e-7

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	227262682.8547886	6412793076.452848
0.0ms	-2.307964750179277e+25	-7.879752907313067e-7

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch4.0ms (0%)

Memory

6.8MiB live, 6.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
3.0ms	0.002193592008121597	1.2280326412640614
1.0ms	-75.32859487399041	-0.09799088168523618

Samples

2.0ms

32×

valid

Compiler

Compiled 336 to 189 computations (43.8% saved)

Precisions

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

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

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

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

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

exact: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.2137443321893221	0.5646441698930933
0.0ms	-2.307964750179277e+25	-7.879752907313067e-7

Compiler

Compiled 16 to 13 computations (18.8% saved)

simplify17.0ms (0.2%)

Memory

-16.5MiB live, 21.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	108	936
1	131	936
2	144	936
3	151	936
4	155	936
5	156	936

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(if (<=.f64 x #s(literal -578960446186581/14474011154664524427946373126085988481658748083205070504932198000989141204992 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y)) y)) (if (<=.f64 x #s(literal 5800000000000 binary64)) (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))))
(if (<=.f64 x #s(literal -2999999999999999979662846023084883929385125325832192 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))) (if (<=.f64 x #s(literal 5800000000000 binary64)) (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))))
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))) (if (<=.f64 x #s(literal 5/4 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)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))))
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))) (if (<=.f64 x #s(literal 5/4 binary64)) #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 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))))
(if (<=.f64 x #s(literal -720 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))) (if (<=.f64 x #s(literal 5404319552844595/4503599627370496 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 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))))
(if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -20000000000000001811939328 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) #s(approx (* x (/ x (+ (* x y) y))) (/.f64 (+.f64 x #s(literal -1 binary64)) y))) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 x #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 4999999999999999650599673463152198642336665750694884246307948430823614916415456951880981793447127233788614017024 binary64)) #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)) #s(approx (* x (/ x (+ (* x y) y))) (/.f64 (+.f64 x #s(literal -1 binary64)) y))))))
(if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -20000000000000001811939328 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) #s(approx (* x (/ x (+ (* x y) y))) (/.f64 (+.f64 x #s(literal -1 binary64)) y))) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 x #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 4999999999999999650599673463152198642336665750694884246307948430823614916415456951880981793447127233788614017024 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)) #s(approx (* x (/ x (+ (* x y) y))) (/.f64 (+.f64 x #s(literal -1 binary64)) y))))))
(if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -20000000000000001811939328 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) #s(approx (* x (/ x (+ (* x y) y))) (/.f64 (+.f64 x #s(literal -1 binary64)) y))) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 400000000 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)) #s(approx (* x (/ x (+ (* x y) y))) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))))
(if (<=.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))) (if (<=.f64 x #s(literal 1 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 (+ (* x y) y))) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))))
(if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -20000000000000001811939328 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 3602879701896397/9007199254740992 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)) (/.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 y) x)) x) #s(approx (- x (* x x)) (*.f64 x (neg.f64 x)))))

Outputs
(*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(if (<=.f64 x #s(literal -578960446186581/14474011154664524427946373126085988481658748083205070504932198000989141204992 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y)) y)) (if (<=.f64 x #s(literal 5800000000000 binary64)) (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))))
(if (<=.f64 x #s(literal -2999999999999999979662846023084883929385125325832192 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))) (if (<=.f64 x #s(literal 5800000000000 binary64)) (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))))
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))) (if (<=.f64 x #s(literal 5/4 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)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))))
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))) (if (<=.f64 x #s(literal 5/4 binary64)) #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 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))))
(if (<=.f64 x #s(literal -720 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))) (if (<=.f64 x #s(literal 5404319552844595/4503599627370496 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 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))))
(if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -20000000000000001811939328 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) #s(approx (* x (/ x (+ (* x y) y))) (/.f64 (+.f64 x #s(literal -1 binary64)) y))) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 x #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 4999999999999999650599673463152198642336665750694884246307948430823614916415456951880981793447127233788614017024 binary64)) #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)) #s(approx (* x (/ x (+ (* x y) y))) (/.f64 (+.f64 x #s(literal -1 binary64)) y))))))
(if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -20000000000000001811939328 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) #s(approx (* x (/ x (+ (* x y) y))) (/.f64 (+.f64 x #s(literal -1 binary64)) y))) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 x #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 4999999999999999650599673463152198642336665750694884246307948430823614916415456951880981793447127233788614017024 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)) #s(approx (* x (/ x (+ (* x y) y))) (/.f64 (+.f64 x #s(literal -1 binary64)) y))))))
(if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -20000000000000001811939328 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) #s(approx (* x (/ x (+ (* x y) y))) (/.f64 (+.f64 x #s(literal -1 binary64)) y))) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 400000000 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)) #s(approx (* x (/ x (+ (* x y) y))) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))))
(if (<=.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))) (if (<=.f64 x #s(literal 1 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 (+ (* x y) y))) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))))
(if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -20000000000000001811939328 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 3602879701896397/9007199254740992 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)) (/.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 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) #s(approx (- x (* x x)) (neg.f64 (*.f64 x x)))))

soundness1.4s (16.2%)

Memory

17.1MiB live, 972.8MiB allocated

Rules

21 530×	`lower-fma.f64`
21 530×	`lower-fma.f32`
12 514×	`lower-fma.f64`
12 514×	`lower-fma.f32`
12 324×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	185	4119
1	538	3935
2	1506	3398
3	7009	3374
0	8372	3230
0	90	745
1	250	724
2	660	648
3	3422	635
0	9168	612
0	24	152
0	39	152
1	152	152
2	1077	152
0	8684	148
0	8	29
0	13	29
1	62	29
2	454	29
3	7068	29
0	8044	27
0	293	3920
1	931	3700
2	2726	3292
0	8826	3147

Stop Event

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

Compiler

Compiled 849 to 311 computations (63.4% saved)

preprocess89.0ms (1%)

Memory: 18.1MiB live, 133.5MiB allocated
Compiler: Compiled 960 to 184 computations (80.8% 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%)

analyze24.0ms (0.3%)

sample969.0ms (11%)

explain143.0ms (1.6%)

preprocess185.0ms (2.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify15.0ms (0.2%)

localize50.0ms (0.6%)

series42.0ms (0.5%)

simplify703.0ms (8%)

rewrite534.0ms (6.1%)

eval169.0ms (1.9%)

prune122.0ms (1.4%)

simplify172.0ms (2%)

localize98.0ms (1.1%)

series42.0ms (0.5%)

simplify285.0ms (3.2%)

rewrite388.0ms (4.4%)

eval247.0ms (2.8%)

prune216.0ms (2.5%)

simplify149.0ms (1.7%)

localize141.0ms (1.6%)

series39.0ms (0.4%)

simplify402.0ms (4.6%)

rewrite434.0ms (4.9%)

eval283.0ms (3.2%)

prune156.0ms (1.8%)

simplify152.0ms (1.7%)

localize90.0ms (1%)

series16.0ms (0.2%)

simplify251.0ms (2.9%)

rewrite280.0ms (3.2%)

eval99.0ms (1.1%)

prune105.0ms (1.2%)

regimes29.0ms (0.3%)

regimes26.0ms (0.3%)

regimes18.0ms (0.2%)

regimes16.0ms (0.2%)

regimes12.0ms (0.1%)

regimes9.0ms (0.1%)

regimes8.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

regimes9.0ms (0.1%)

regimes4.0ms (0%)

bsearch26.0ms (0.3%)

bsearch12.0ms (0.1%)

bsearch27.0ms (0.3%)

bsearch1.0ms (0%)

bsearch25.0ms (0.3%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch4.0ms (0%)

bsearch0.0ms (0%)

simplify17.0ms (0.2%)

soundness1.4s (16.2%)

preprocess89.0ms (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