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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze34.0ms (0.4%)

Memory

-10.2MiB live, 28.9MiB 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)

sample826.0ms (10.6%)

Memory

55.2MiB live, 1 151.4MiB allocated

Samples

565.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 384.0ms

ival-div: 157.0ms (40.9% of total)

ival-add: 132.0ms (34.4% of total)

ival-mult: 81.0ms (21.1% of total)

ival-true: 6.0ms (1.6% of total)

exact: 5.0ms (1.3% of total)

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

Bogosity

explain93.0ms (1.2%)

Memory

6.7MiB live, 207.3MiB 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	31
↳	`(*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64)))`	overflow	58
↳	`(+.f64 (/.f64 x y) #s(literal 1 binary64))`	overflow	31

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

34.0ms

512×

valid

Compiler

Compiled 81 to 28 computations (65.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-div: 9.0ms (49.7% of total)

ival-add: 5.0ms (27.6% of total)

ival-mult: 3.0ms (16.6% of total)

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

exact: 0.0ms (0% of total)

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

preprocess407.0ms (5.2%)

Memory

-46.0MiB live, 65.6MiB 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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB 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)

simplify17.0ms (0.2%)

Memory

-13.4MiB live, 24.3MiB 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))

localize55.0ms (0.7%)

Memory

-5.9MiB live, 32.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 (/.f64 x y) #s(literal 1 binary64))
accuracy	0	(+.f64 x #s(literal 1 binary64))
accuracy	0.0703125	(*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64)))
accuracy	6.382604325002348	(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))

Samples

15.0ms

256×

valid

Compiler

Compiled 34 to 10 computations (70.6% saved)

Precisions

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

ival-div: 3.0ms (38% 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)

series9.0ms (0.1%)

Memory

10.5MiB live, 10.5MiB 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))

simplify395.0ms (5.1%)

Memory

23.8MiB live, 479.9MiB 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))

rewrite247.0ms (3.2%)

Memory

1.8MiB live, 291.7MiB 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))))

eval103.0ms (1.3%)

Memory: -13.6MiB live, 104.3MiB allocated
Compiler: Compiled 10 937 to 1 188 computations (89.1% saved)

prune76.0ms (1%)

Memory

16.1MiB live, 176.8MiB allocated

Pruning

12 alts after pruning (12 fresh and 0 done)

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

Accuracy

100.0%

Counts

500 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	90.0%	(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64)))
	90.0%	(/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) y) x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
▶	39.9%	(/.f64 (*.f64 x #s(approx (+ (/ x y) 1) (/.f64 x y))) (+.f64 x #s(literal 1 binary64)))
	36.1%	(/.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))))
	50.1%	(*.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)))
	47.1%	#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)))
	51.6%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (.f64 x x) (.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) x))
▶	60.4%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x (-.f64 (/.f64 x y) x) x))
	52.5%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
▶	35.8%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))
▶	44.5%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 x (/.f64 x (fma.f64 x y y))))

Compiler

Compiled 310 to 166 computations (46.5% saved)

simplify170.0ms (2.2%)

Memory

7.1MiB live, 82.0MiB 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)

localize82.0ms (1.1%)

Memory

-15.5MiB live, 137.4MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 x #s(literal 1 binary64))
accuracy	0.0703125	(*.f64 x #s(approx (+ (/ x y) 1) (/.f64 x y)))
accuracy	6.382604325002348	(/.f64 (*.f64 x #s(approx (+ (/ x y) 1) (/.f64 x y))) (+.f64 x #s(literal 1 binary64)))
accuracy	32.68335124127599	#s(approx (+ (/ x y) 1) (/.f64 x y))
accuracy	0	(fma.f64 x y y)
accuracy	0.1640625	(*.f64 x (/.f64 x (fma.f64 x y y)))
accuracy	5.740203070941558	(/.f64 x (fma.f64 x y y))
accuracy	32.07179482183205	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 x (/.f64 x (fma.f64 x y y))))
accuracy	0	(/.f64 x y)
accuracy	0.0078125	(-.f64 (/.f64 x y) x)
accuracy	0.05078125	(fma.f64 x (-.f64 (/.f64 x y) x) x)
accuracy	25.296487510056043	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x (-.f64 (/.f64 x y) x) x))
accuracy	0	(/.f64 x y)
accuracy	41.08677000868753	#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	0.0703125	(/.f64 x (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64))))
accuracy	7.328989018108072	(/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64)))

Samples

48.0ms

256×

valid

Compiler

Compiled 148 to 19 computations (87.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-div: 10.0ms (33% of total)

ival-sub: 9.0ms (29.7% of total)

ival-mult: 6.0ms (19.8% of total)

ival-add: 5.0ms (16.5% of total)

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

exact: 0.0ms (0% of total)

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

series23.0ms (0.3%)

Memory

17.3MiB live, 55.9MiB 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 (+ 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 1) (+ (/ x y) 1))

simplify296.0ms (3.8%)

Memory

25.5MiB live, 419.5MiB 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))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))
(/ x y)
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))
(/ (pow x 2) (* y (+ 1 x)))
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ x (+ 1 x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(/ x (+ 1 x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
1
(+ 1 (* x (- 1 (/ 1 y))))
(+ 1 (* x (- (+ 1 (* x (- (/ 1 (pow y 2)) (/ 1 y)))) (/ 1 y))))
(+ 1 (* x (- (+ 1 (* x (- (+ (* x (- (/ 1 (pow y 2)) (/ 1 (pow y 3)))) (/ 1 (pow y 2))) (/ 1 y)))) (/ 1 y))))
y
(- (+ y (/ y x)) (/ (pow y 2) x))
(- (+ y (+ (* -1 (/ (* y (- y (pow y 2))) (pow x 2))) (/ y x))) (/ (pow y 2) x))
(- (+ y (+ (/ y x) (/ (* (pow y 2) (- y (pow y 2))) (pow x 3)))) (+ (/ (* y (- y (pow y 2))) (pow x 2)) (/ (pow y 2) x)))
y
(+ y (* -1 (/ (- (* -1 y) (* -1 (pow y 2))) x)))
(+ y (* -1 (/ (- (+ (* -1 y) (* -1 (/ (* y (- (* -1 y) (* -1 (pow y 2)))) x))) (* -1 (pow y 2))) x)))
(+ y (* -1 (/ (- (+ (* -1 y) (* -1 (/ (- (* -1 (/ (* (pow y 2) (- (* -1 y) (* -1 (pow y 2)))) x)) (* -1 (* y (- (* -1 y) (* -1 (pow y 2)))))) x))) (* -1 (pow y 2))) x)))
(/ (* y (+ 1 x)) x)
(* y (+ 1 (+ (* -1 (* y (+ (/ 1 x) (/ 1 (pow x 2))))) (/ 1 x))))
(* y (+ 1 (+ (* y (- (/ (* y (+ (/ 1 x) (/ 1 (pow x 2)))) x) (+ (/ 1 x) (/ 1 (pow x 2))))) (/ 1 x))))
(* y (+ 1 (+ (* y (- (* y (- (* -1 (* y (+ (/ 1 (pow x 3)) (/ 1 (pow x 4))))) (* -1 (/ (+ (/ 1 x) (/ 1 (pow x 2))) x)))) (+ (/ 1 x) (/ 1 (pow x 2))))) (/ 1 x))))
(+ 1 x)
(+ 1 (+ x (* -1 (/ (* x (+ 1 x)) y))))
(- (+ 1 (+ x (/ (* (pow x 2) (+ 1 x)) (pow y 2)))) (/ (* x (+ 1 x)) y))
(- (+ 1 (+ x (* -1 (/ (* (pow x 3) (+ 1 x)) (pow y 3))))) (+ (* -1 (/ (* (pow x 2) (+ 1 x)) (pow y 2))) (/ (* x (+ 1 x)) y)))
(+ 1 x)
(+ 1 (+ x (* -1 (/ (* x (+ 1 x)) y))))
(+ 1 (+ x (* -1 (/ (- (* -1 (/ (* (pow x 2) (+ 1 x)) y)) (* -1 (* x (+ 1 x)))) y))))
(+ 1 (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow x 3) (+ 1 x)) y)) (* -1 (* (pow x 2) (+ 1 x)))) y)) (* -1 (* x (+ 1 x)))) y))))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
1
(+ 1 (/ x y))
(+ 1 (/ x y))
(+ 1 (/ x y))
(/ x y)
(* x (+ (/ 1 x) (/ 1 y)))
(* x (+ (/ 1 x) (/ 1 y)))
(* x (+ (/ 1 x) (/ 1 y)))
(/ x y)
(* x (+ (/ 1 x) (/ 1 y)))
(* x (+ (/ 1 x) (/ 1 y)))
(* x (+ (/ 1 x) (/ 1 y)))
(/ x y)
(/ (+ x y) y)
(/ (+ x y) y)
(/ (+ x y) y)
1
(+ 1 (/ x y))
(+ 1 (/ x y))
(+ 1 (/ x y))
1
(+ 1 (/ x y))
(+ 1 (/ x y))
(+ 1 (/ x y))
x
(* x (+ 1 (* x (- (/ 1 y) 1))))
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))
(/ x y)
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))
(/ x y)
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))
(/ (pow x 2) (* y (+ 1 x)))
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ x (+ 1 x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(/ x (+ 1 x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
x
(* x (+ 1 (* x (- (/ 1 y) 1))))
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))
(/ x y)
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))
(/ x y)
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))
(/ (pow x 2) (* y (+ 1 x)))
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ x (+ 1 x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(/ x (+ 1 x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
x
(* x (+ 1 (* x (- (/ 1 y) 1))))
(* x (+ 1 (* x (- (/ 1 y) 1))))
(* x (+ 1 (* x (- (/ 1 y) 1))))
(* (pow x 2) (- (/ 1 y) 1))
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1))
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1))
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1))
(* -1 (* (pow x 2) (- 1 (/ 1 y))))
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x)))
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x)))
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x)))
(/ (pow x 2) y)
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y)
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y)
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y)
(+ x (* -1 (pow x 2)))
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(+ x (* -1 (pow x 2)))
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(* x (- (/ 1 y) 1))
(* x (- (/ 1 y) 1))
(* x (- (/ 1 y) 1))
(* x (- (/ 1 y) 1))
(* x (- (/ 1 y) 1))
(* x (- (/ 1 y) 1))
(* x (- (/ 1 y) 1))
(* x (- (/ 1 y) 1))
(* -1 (* x (- 1 (/ 1 y))))
(* -1 (* x (- 1 (/ 1 y))))
(* -1 (* x (- 1 (/ 1 y))))
(* -1 (* x (- 1 (/ 1 y))))
(/ x y)
(/ (+ x (* -1 (* x y))) y)
(/ (+ x (* -1 (* x y))) y)
(/ (+ x (* -1 (* x y))) y)
(* -1 x)
(- (/ x y) x)
(- (/ x y) x)
(- (/ x y) x)
(* -1 x)
(- (/ x y) x)
(- (/ x y) x)
(- (/ x y) x)
x
(* x (+ 1 (* x (- (/ 1 y) 1))))
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))
(/ x y)
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))
(/ x y)
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))
(/ (pow x 2) (* y (+ 1 x)))
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ x (+ 1 x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(/ x (+ 1 x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(/ (pow x 2) y)
(* (pow x 2) (+ (* -1 (/ x y)) (/ 1 y)))
(* (pow x 2) (+ (* x (- (/ x y) (/ 1 y))) (/ 1 y)))
(* (pow x 2) (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y)))
(/ x y)
(* x (- (/ 1 y) (/ 1 (* x y))))
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y))))
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y)))))
(/ x y)
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)) x)) (/ 1 y))))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))
(/ x y)
(* x (+ (* -1 (/ x y)) (/ 1 y)))
(* x (+ (* x (- (/ x y) (/ 1 y))) (/ 1 y)))
(* x (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y)))
(/ 1 y)
(- (/ 1 y) (/ 1 (* x y)))
(- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y)))
(- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y))))
(/ 1 y)
(- (/ 1 y) (/ 1 (* x y)))
(+ (* -1 (/ (- (/ 1 y) (/ 1 (* x y))) x)) (/ 1 y))
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 y) (/ 1 (* x y))) x)) (/ 1 y)) x)) (/ 1 y))
(/ x (* y (+ 1 x)))
(/ x (* y (+ 1 x)))
(/ x (* y (+ 1 x)))
(/ x (* y (+ 1 x)))
(/ x (* y (+ 1 x)))
(/ x (* y (+ 1 x)))
(/ x (* y (+ 1 x)))
(/ x (* y (+ 1 x)))
(* -1 (/ x (* y (- (* -1 x) 1))))
(* -1 (/ x (* y (- (* -1 x) 1))))
(* -1 (/ x (* y (- (* -1 x) 1))))
(* -1 (/ x (* y (- (* -1 x) 1))))
y
(+ y (* x y))
(+ y (* x y))
(+ y (* x y))
(* x y)
(* x (+ y (/ y x)))
(* x (+ y (/ y x)))
(* x (+ y (/ y x)))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(* y (+ 1 x))
(* y (+ 1 x))
(* y (+ 1 x))
(* y (+ 1 x))
(* y (+ 1 x))
(* y (+ 1 x))
(* y (+ 1 x))
(* y (+ 1 x))
(* -1 (* y (- (* -1 x) 1)))
(* -1 (* y (- (* -1 x) 1)))
(* -1 (* y (- (* -1 x) 1)))
(* -1 (* y (- (* -1 x) 1)))
x
(* x (+ 1 (* x (- (/ 1 y) 1))))
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))
(/ x y)
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))
(/ x y)
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))
(/ (pow x 2) (* y (+ 1 x)))
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ x (+ 1 x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(/ x (+ 1 x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
x
(* x (+ 1 (/ x y)))
(* x (+ 1 (/ x y)))
(* x (+ 1 (/ x y)))
(/ (pow x 2) y)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(/ (pow x 2) y)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(/ (pow x 2) y)
(/ (+ (* x y) (pow x 2)) y)
(/ (+ (* x y) (pow x 2)) y)
(/ (+ (* x y) (pow x 2)) y)
x
(+ x (/ (pow x 2) y))
(+ x (/ (pow x 2) y))
(+ x (/ (pow x 2) y))
x
(+ x (/ (pow x 2) y))
(+ x (/ (pow x 2) y))
(+ x (/ (pow x 2) y))
1
(+ 1 (/ x y))
(+ 1 (/ x y))
(+ 1 (/ x y))
(/ x y)
(* x (+ (/ 1 x) (/ 1 y)))
(* x (+ (/ 1 x) (/ 1 y)))
(* x (+ (/ 1 x) (/ 1 y)))
(/ x y)
(* x (+ (/ 1 x) (/ 1 y)))
(* x (+ (/ 1 x) (/ 1 y)))
(* x (+ (/ 1 x) (/ 1 y)))
(/ x y)
(/ (+ x y) y)
(/ (+ x y) y)
(/ (+ x y) y)
1
(+ 1 (/ x y))
(+ 1 (/ x y))
(+ 1 (/ x y))
1
(+ 1 (/ x y))
(+ 1 (/ x y))
(+ 1 (/ x y))

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))
(/.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))))
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rewrite384.0ms (4.9%)

Memory

-17.0MiB live, 314.4MiB 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))
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(.f64 (.f64 (fma.f64 x y y) (-.f64 (.f64 x y) y)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) y)))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 #s(literal -1 binary64) x)))
(.f64 (neg.f64 (fma.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y))) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (.f64 x (.f64 y y)) (.f64 y (-.f64 y (*.f64 x y)))))))
(.f64 (.f64 (fma.f64 x y y) (fma.f64 x (neg.f64 y) y)) (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) y)))
(.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))

eval242.0ms (3.1%)

Memory: 3.4MiB live, 154.5MiB allocated
Compiler: Compiled 23 382 to 2 112 computations (91% saved)

prune330.0ms (4.2%)

Memory

-4.7MiB live, 196.1MiB allocated

Pruning

19 alts after pruning (17 fresh and 2 done)

	Pruned	Kept	Total
New	1 222	15	1 237
Fresh	5	2	7
Picked	3	2	5
Done	0	0	0
Total	1 230	19	1 249

Accuracy

100.0%

Counts

1 249 → 19

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)))
	44.5%	(/.f64 x #s(approx (/ (+ x 1) (+ (/ x y) 1)) (/.f64 (fma.f64 x y y) x)))
	52.5%	(/.f64 x #s(approx (/ (+ x 1) (+ (/ x y) 1)) (+.f64 x #s(literal 1 binary64))))
	39.7%	(/.f64 x #s(approx (/ (+ x 1) (+ (/ x y) 1)) #s(literal 1 binary64)))
	21.3%	(.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)))
▶	47.1%	#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)))
	60.4%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) y) x (neg.f64 x)) x))
	60.6%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x #s(approx (- (/ x y) x) (/.f64 x y)) x))
▶	42.9%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x #s(approx (- (/ x y) x) (neg.f64 x)) x))
	38.7%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 x x) (fma.f64 x y y)))
✓	35.8%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))
	35.7%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 #s(literal 1 binary64) y) x))
	29.2%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 (.f64 (fma.f64 x (-.f64 (/.f64 x y) x) x) (fma.f64 (-.f64 (/.f64 x y) x) (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (/.f64 x y) x) (neg.f64 x) x))))
▶	38.7%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x y y))))
✓	44.5%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 x (/.f64 x (fma.f64 x y y))))
▶	24.3%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 x #s(approx (/ x (+ ( x y) y)) (/.f64 x y))))
	23.0%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* x (- (/ x y) x)) x) (/.f64 (*.f64 x x) y)))
	16.3%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (* x (/ x (+ (* x y) y))) (.f64 (/.f64 x y) (-.f64 x (.f64 x x)))))
	35.5%	#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 445 to 212 computations (52.4% saved)

simplify177.0ms (2.3%)

Memory

0.4MiB live, 85.7MiB 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 x)
cost-diff	0	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x y y))))
cost-diff	320	(.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x y y)))
cost-diff	0	(+.f64 x #s(literal -1 binary64))
cost-diff	0	(/.f64 #s(literal 1 binary64) y)
cost-diff	0	#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)))
cost-diff	192	(fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
cost-diff	0	(/.f64 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	(neg.f64 x)
cost-diff	0	#s(approx (- (/ x y) x) (neg.f64 x))
cost-diff	0	(fma.f64 x #s(approx (- (/ x y) x) (neg.f64 x)) x)
cost-diff	0	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x #s(approx (- (/ x y) x) (neg.f64 x)) 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

1 592×	`lower-fma.f32`
1 584×	`lower-fma.f64`
920×	`lower-*.f32`
914×	`lower-*.f64`
386×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	207
0	51	203
1	91	197
2	138	197
3	273	197
4	434	197
5	636	197
6	858	197
7	1206	197
8	1948	197
9	2612	197
10	2850	197
11	2867	197
12	2872	197
13	2875	197
14	2876	197
15	2888	197
16	2890	197
17	2890	197
0	2890	197

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

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

localize216.0ms (2.8%)

Memory

-7.1MiB live, 151.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0.28057585125441475	(/.f64 #s(literal 1 binary64) (fma.f64 x y y))
accuracy	11.477279413093681	(.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x y y)))
accuracy	32.07179482183205	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x y y))))
accuracy	0	(/.f64 #s(literal 1 binary64) y)
accuracy	0	(+.f64 x #s(literal -1 binary64))
accuracy	0.0625	(fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
accuracy	33.780102873722605	#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)))
accuracy	0	(/.f64 x y)
accuracy	0.1640625	(.f64 x #s(approx (/ x (+ ( x y) y)) (/.f64 x y)))
accuracy	29.545590686247614	#s(approx (/ x (+ (* x y) y)) (/.f64 x y))
accuracy	32.07179482183205	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 x #s(approx (/ x (+ ( x y) y)) (/.f64 x y))))
accuracy	0	(neg.f64 x)
accuracy	0.05078125	(fma.f64 x #s(approx (- (/ x y) x) (neg.f64 x)) x)
accuracy	25.296487510056043	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x #s(approx (- (/ x y) x) (neg.f64 x)) x))
accuracy	31.898521426941475	#s(approx (- (/ x y) x) (neg.f64 x))
accuracy	0	(/.f64 x y)
accuracy	0	(+.f64 x #s(literal 1 binary64))
accuracy	0.06640625	(fma.f64 (/.f64 x y) x x)
accuracy	6.382604325002348	(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64)))

Samples

82.0ms

256×

valid

Compiler

Compiled 159 to 29 computations (81.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-div: 15.0ms (40.6% of total)

ival-mult: 12.0ms (32.5% of total)

ival-add: 8.0ms (21.7% of total)

ival-sub: 1.0ms (2.7% of total)

ival-neg: 1.0ms (2.7% of total)

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

exact: 0.0ms (0% of total)

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

series22.0ms (0.3%)

Memory

13.1MiB live, 51.8MiB allocated

Counts

19 → 396

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

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>) () ())) ())
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#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>) () ())) ())

Calls

99 calls:

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

simplify272.0ms (3.5%)

Memory

4.6MiB live, 384.9MiB allocated

Algorithm

1×	egg-herbie

Rules

12 936×	`lower-fma.f64`
12 936×	`lower-fma.f32`
4 020×	`lower-*.f64`
4 020×	`lower-*.f32`
2 748×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	194	4021
1	571	3774
2	1572	3179
3	7176	3172
0	8028	3034

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 383

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

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

rewrite286.0ms (3.7%)

Memory

-11.5MiB live, 513.1MiB allocated

Rules

5 408×	`lower-fma.f32`
5 400×	`lower-fma.f64`
4 626×	`lower-*.f32`
4 620×	`lower-*.f64`
4 496×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	187
0	51	179
1	204	177
2	1459	177
0	8177	177

Stop Event

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

Counts

19 → 445

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

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

eval122.0ms (1.6%)

Memory: 1.5MiB live, 280.3MiB allocated
Compiler: Compiled 14 796 to 1 372 computations (90.7% saved)

prune128.0ms (1.6%)

Memory

25.5MiB live, 266.6MiB allocated

Pruning

21 alts after pruning (16 fresh and 5 done)

	Pruned	Kept	Total
New	872	9	881
Fresh	5	7	12
Picked	2	3	5
Done	0	2	2
Total	879	21	900

Accuracy

100.0%

Counts

900 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	44.5%	(/.f64 x #s(approx (/ (+ x 1) (+ (/ x y) 1)) (/.f64 (fma.f64 x y y) x)))
	52.5%	(/.f64 x #s(approx (/ (+ x 1) (+ (/ x y) 1)) (+.f64 x #s(literal 1 binary64))))
	38.7%	#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (/.f64 (*.f64 x x) (fma.f64 x y y)))
	47.2%	#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))
▶	60.6%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x #s(approx (- (/ x y) x) (/.f64 x y)) x))
✓	42.9%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x #s(approx (- (/ x y) x) (neg.f64 x)) x))
✓	35.8%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))
	35.7%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 #s(literal 1 binary64) y) x))
	42.9%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x))
	29.2%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 (.f64 (fma.f64 x (-.f64 (/.f64 x y) x) x) (fma.f64 (-.f64 (/.f64 x y) x) (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (/.f64 x y) x) (neg.f64 x) x))))
	19.9%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 (.f64 x x) (pow.f64 (pow.f64 (fma.f64 x y y) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
✓	38.7%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x y y))))
	23.0%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 (.f64 x x) #s(approx (/ 1 (+ (* x y) y)) (/.f64 #s(literal 1 binary64) y))))
✓	44.5%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 x (/.f64 x (fma.f64 x y y))))
✓	24.3%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 x #s(approx (/ x (+ ( x y) y)) (/.f64 x y))))
▶	24.3%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 x #s(approx (/ x (+ ( x y) y)) (*.f64 (/.f64 #s(literal 1 binary64) y) x))))
	35.5%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))
▶	14.7%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64)))
▶	23.0%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* x (- (/ x y) x)) x) (/.f64 (*.f64 x x) y)))
	16.3%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (* (* x x) (/ 1 (+ (* x y) y))) (.f64 (/.f64 x y) (-.f64 x (.f64 x x)))))
	35.5%	#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 418 to 211 computations (49.5% saved)

simplify210.0ms (2.7%)

Memory

-3.5MiB live, 281.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

5 768×	`lower-fma.f32`
5 764×	`lower-fma.f64`
2 676×	`lower-*.f32`
2 670×	`lower-*.f64`
1 570×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	246
0	50	244
1	86	234
2	134	234
3	281	234
4	457	234
5	727	234
6	1079	231
7	1711	231
8	2778	231
9	5333	231
10	6711	231
11	7711	231
0	8018	225

Stop Event

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

Calls

Call 1

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

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

localize107.0ms (1.4%)

Memory

-22.2MiB live, 133.9MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 x y y)
accuracy	0.0703125	(/.f64 x #s(approx (/ (+ x 1) (+ (/ x y) 1)) (/.f64 (fma.f64 x y y) x)))
accuracy	5.682483052972159	(/.f64 (fma.f64 x y y) x)
accuracy	32.972087394568305	#s(approx (/ (+ x 1) (+ (/ x y) 1)) (/.f64 (fma.f64 x y y) x))
accuracy	0.1640625	(.f64 x #s(approx (/ x (+ ( x y) y)) (*.f64 (/.f64 #s(literal 1 binary64) y) x)))
accuracy	0.171875	(*.f64 (/.f64 #s(literal 1 binary64) y) x)
accuracy	29.545590686247614	#s(approx (/ x (+ (* x y) y)) (*.f64 (/.f64 #s(literal 1 binary64) y) x))
accuracy	32.07179482183205	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 x #s(approx (/ x (+ ( x y) y)) (*.f64 (/.f64 #s(literal 1 binary64) y) x))))
accuracy	0	(*.f64 x x)
accuracy	5.8758923566235595	(/.f64 (*.f64 x x) y)
accuracy	25.296487510056043	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* x (- (/ x y) x)) x) (/.f64 (*.f64 x x) y)))
accuracy	36.06528097747801	#s(approx (+ (* x (- (/ x y) x)) x) (/.f64 (*.f64 x x) y))
accuracy	33.780102873722605	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64)))
accuracy	37.75063651126122	#s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64))
accuracy	0	(/.f64 x y)
accuracy	0.05078125	(fma.f64 x #s(approx (- (/ x y) x) (/.f64 x y)) x)
accuracy	25.296487510056043	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x #s(approx (- (/ x y) x) (/.f64 x y)) x))
accuracy	30.464403781684805	#s(approx (- (/ x y) x) (/.f64 x y))

Samples

49.0ms

256×

valid

Compiler

Compiled 155 to 28 computations (81.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-mult: 14.0ms (39.7% of total)

ival-div: 13.0ms (36.9% of total)

ival-add: 7.0ms (19.9% of total)

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

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

exact: 0.0ms (0% of total)

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

series17.0ms (0.2%)

Memory

25.1MiB live, 25.1MiB allocated

Counts

18 → 420

Calls

Call 1

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

Outputs
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#s(alt (+ y (* -1 (/ (- (+ (* -1 y) (* -1 (/ (* y (- (* -1 y) (* -1 (pow y 2)))) x))) (* -1 (pow y 2))) x))) (taylor -inf x) (#s(alt #s(approx (/ (+ x 1) (+ (/ x y) 1)) (/.f64 (fma.f64 x y y) x)) (patch #s(approx (/ (+ x 1) (+ (/ x y) 1)) (/.f64 (fma.f64 x y y) x)) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 (/ (- (+ (* -1 y) (* -1 (/ (- (* -1 (/ (* (pow y 2) (- (* -1 y) (* -1 (pow y 2)))) x)) (* -1 (* y (- (* -1 y) (* -1 (pow y 2)))))) x))) (* -1 (pow y 2))) x))) (taylor -inf x) (#s(alt #s(approx (/ (+ x 1) (+ (/ x y) 1)) (/.f64 (fma.f64 x y y) x)) (patch #s(approx (/ (+ x 1) (+ (/ x y) 1)) (/.f64 (fma.f64 x y y) x)) #<representation binary64>) () ())) ())
#s(alt (/ (* y (+ 1 x)) x) (taylor 0 y) (#s(alt #s(approx (/ (+ x 1) (+ (/ x y) 1)) (/.f64 (fma.f64 x y y) x)) (patch #s(approx (/ (+ x 1) (+ (/ x y) 1)) (/.f64 (fma.f64 x y y) x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (+ (* -1 (* y (+ (/ 1 x) (/ 1 (pow x 2))))) (/ 1 x)))) (taylor 0 y) (#s(alt #s(approx (/ (+ x 1) (+ (/ x y) 1)) (/.f64 (fma.f64 x y y) x)) (patch #s(approx (/ (+ x 1) (+ (/ x y) 1)) (/.f64 (fma.f64 x y y) x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (+ (* y (- (/ (* y (+ (/ 1 x) (/ 1 (pow x 2)))) x) (+ (/ 1 x) (/ 1 (pow x 2))))) (/ 1 x)))) (taylor 0 y) (#s(alt #s(approx (/ (+ x 1) (+ (/ x y) 1)) (/.f64 (fma.f64 x y y) x)) (patch #s(approx (/ (+ x 1) (+ (/ x y) 1)) (/.f64 (fma.f64 x y y) x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (+ (* y (- (* y (- (* -1 (* y (+ (/ 1 (pow x 3)) (/ 1 (pow x 4))))) (* -1 (/ (+ (/ 1 x) (/ 1 (pow x 2))) x)))) (+ (/ 1 x) (/ 1 (pow x 2))))) (/ 1 x)))) (taylor 0 y) (#s(alt #s(approx (/ (+ x 1) (+ (/ x y) 1)) (/.f64 (fma.f64 x y y) x)) (patch #s(approx (/ (+ x 1) (+ (/ x y) 1)) (/.f64 (fma.f64 x y y) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor inf y) (#s(alt #s(approx (/ (+ x 1) (+ (/ x y) 1)) (/.f64 (fma.f64 x y y) x)) (patch #s(approx (/ (+ x 1) (+ (/ x y) 1)) (/.f64 (fma.f64 x y y) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ x (* -1 (/ (* x (+ 1 x)) y)))) (taylor inf y) (#s(alt #s(approx (/ (+ x 1) (+ (/ x y) 1)) (/.f64 (fma.f64 x y y) x)) (patch #s(approx (/ (+ x 1) (+ (/ x y) 1)) (/.f64 (fma.f64 x y y) x)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ x (/ (* (pow x 2) (+ 1 x)) (pow y 2)))) (/ (* x (+ 1 x)) y)) (taylor inf y) (#s(alt #s(approx (/ (+ x 1) (+ (/ x y) 1)) (/.f64 (fma.f64 x y y) x)) (patch #s(approx (/ (+ x 1) (+ (/ x y) 1)) (/.f64 (fma.f64 x y y) x)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ x (* -1 (/ (* (pow x 3) (+ 1 x)) (pow y 3))))) (+ (* -1 (/ (* (pow x 2) (+ 1 x)) (pow y 2))) (/ (* x (+ 1 x)) y))) (taylor inf y) (#s(alt #s(approx (/ (+ x 1) (+ (/ x y) 1)) (/.f64 (fma.f64 x y y) x)) (patch #s(approx (/ (+ x 1) (+ (/ x y) 1)) (/.f64 (fma.f64 x y y) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor -inf y) (#s(alt #s(approx (/ (+ x 1) (+ (/ x y) 1)) (/.f64 (fma.f64 x y y) x)) (patch #s(approx (/ (+ x 1) (+ (/ x y) 1)) (/.f64 (fma.f64 x y y) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ x (* -1 (/ (* x (+ 1 x)) y)))) (taylor -inf y) (#s(alt #s(approx (/ (+ x 1) (+ (/ x y) 1)) (/.f64 (fma.f64 x y y) x)) (patch #s(approx (/ (+ x 1) (+ (/ x y) 1)) (/.f64 (fma.f64 x y y) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ x (* -1 (/ (- (* -1 (/ (* (pow x 2) (+ 1 x)) y)) (* -1 (* x (+ 1 x)))) y)))) (taylor -inf y) (#s(alt #s(approx (/ (+ x 1) (+ (/ x y) 1)) (/.f64 (fma.f64 x y y) x)) (patch #s(approx (/ (+ x 1) (+ (/ x y) 1)) (/.f64 (fma.f64 x y y) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow x 3) (+ 1 x)) y)) (* -1 (* (pow x 2) (+ 1 x)))) y)) (* -1 (* x (+ 1 x)))) y)))) (taylor -inf y) (#s(alt #s(approx (/ (+ x 1) (+ (/ x y) 1)) (/.f64 (fma.f64 x y y) x)) (patch #s(approx (/ (+ x 1) (+ (/ x y) 1)) (/.f64 (fma.f64 x y y) x)) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 x) (#s(alt (fma.f64 x y y) (patch (fma.f64 x y y) #<representation binary64>) () ())) ())
#s(alt (+ y (* x y)) (taylor 0 x) (#s(alt (fma.f64 x y y) (patch (fma.f64 x y y) #<representation binary64>) () ())) ())
#s(alt (+ y (* x y)) (taylor 0 x) (#s(alt (fma.f64 x y y) (patch (fma.f64 x y y) #<representation binary64>) () ())) ())
#s(alt (+ y (* x y)) (taylor 0 x) (#s(alt (fma.f64 x y y) (patch (fma.f64 x y y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (fma.f64 x y y) (patch (fma.f64 x y y) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (/ y x))) (taylor inf x) (#s(alt (fma.f64 x y y) (patch (fma.f64 x y y) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (/ y x))) (taylor inf x) (#s(alt (fma.f64 x y y) (patch (fma.f64 x y y) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (/ y x))) (taylor inf x) (#s(alt (fma.f64 x y y) (patch (fma.f64 x y y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (fma.f64 x y y) (patch (fma.f64 x y y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) (taylor -inf x) (#s(alt (fma.f64 x y y) (patch (fma.f64 x y y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) (taylor -inf x) (#s(alt (fma.f64 x y y) (patch (fma.f64 x y y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) (taylor -inf x) (#s(alt (fma.f64 x y y) (patch (fma.f64 x y y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor 0 y) (#s(alt (fma.f64 x y y) (patch (fma.f64 x y y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor 0 y) (#s(alt (fma.f64 x y y) (patch (fma.f64 x y y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor 0 y) (#s(alt (fma.f64 x y y) (patch (fma.f64 x y y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor 0 y) (#s(alt (fma.f64 x y y) (patch (fma.f64 x y y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor inf y) (#s(alt (fma.f64 x y y) (patch (fma.f64 x y y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor inf y) (#s(alt (fma.f64 x y y) (patch (fma.f64 x y y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor inf y) (#s(alt (fma.f64 x y y) (patch (fma.f64 x y y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor inf y) (#s(alt (fma.f64 x y y) (patch (fma.f64 x y y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 x) 1))) (taylor -inf y) (#s(alt (fma.f64 x y y) (patch (fma.f64 x y y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 x) 1))) (taylor -inf y) (#s(alt (fma.f64 x y y) (patch (fma.f64 x y y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 x) 1))) (taylor -inf y) (#s(alt (fma.f64 x y y) (patch (fma.f64 x y y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 x) 1))) (taylor -inf y) (#s(alt (fma.f64 x y y) (patch (fma.f64 x y y) #<representation binary64>) () ())) ())

Calls

105 calls:

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

simplify314.0ms (4%)

Memory

10.6MiB live, 392.6MiB allocated

Algorithm

1×	egg-herbie

Rules

12 570×	`lower-fma.f64`
12 570×	`lower-fma.f32`
4 804×	`lower-+.f64`
4 804×	`lower-+.f32`
3 208×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	297	4407
1	938	4132
2	2788	3550
0	8503	3413

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 408

Calls

Call 1

Inputs
x
(* x (+ 1 (* x (- (/ 1 y) 1))))
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))
(/ x y)
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))
(/ x y)
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))
(/ (pow x 2) (* y (+ 1 x)))
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ x (+ 1 x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(/ x (+ 1 x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
x
(* x (+ 1 (* x (- (/ 1 y) 1))))
(* x (+ 1 (* x (- (/ 1 y) 1))))
(* x (+ 1 (* x (- (/ 1 y) 1))))
(* (pow x 2) (- (/ 1 y) 1))
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1))
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1))
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1))
(* -1 (* (pow x 2) (- 1 (/ 1 y))))
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x)))
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x)))
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x)))
(/ (pow x 2) y)
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y)
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y)
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y)
(+ x (* -1 (pow x 2)))
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(+ x (* -1 (pow x 2)))
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(* x (- (/ 1 y) 1))
(* x (- (/ 1 y) 1))
(* x (- (/ 1 y) 1))
(* x (- (/ 1 y) 1))
(* x (- (/ 1 y) 1))
(* x (- (/ 1 y) 1))
(* x (- (/ 1 y) 1))
(* x (- (/ 1 y) 1))
(* -1 (* x (- 1 (/ 1 y))))
(* -1 (* x (- 1 (/ 1 y))))
(* -1 (* x (- 1 (/ 1 y))))
(* -1 (* x (- 1 (/ 1 y))))
(/ x y)
(/ (+ x (* -1 (* x y))) y)
(/ (+ x (* -1 (* x y))) y)
(/ (+ x (* -1 (* x y))) y)
(* -1 x)
(- (/ x y) x)
(- (/ x y) x)
(- (/ x y) x)
(* -1 x)
(- (/ x y) x)
(- (/ x y) x)
(- (/ x y) x)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
x
(* x (+ 1 (* x (- (/ 1 y) 1))))
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))
(/ x y)
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))
(/ x y)
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))
(/ (pow x 2) (* y (+ 1 x)))
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ x (+ 1 x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(/ x (+ 1 x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(/ (- x 1) y)
(/ (- (+ x y) 1) y)
(/ (- (+ x y) 1) y)
(/ (- (+ x y) 1) y)
1
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
1
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(- 1 (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(/ x y)
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(/ x y)
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))
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)))
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
x
(* x (+ 1 (* x (- (/ 1 y) 1))))
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))
(/ x y)
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))
(/ x y)
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))
(/ (pow x 2) (* y (+ 1 x)))
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ x (+ 1 x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(/ x (+ 1 x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(/ (pow x 2) y)
(* (pow x 2) (+ (* -1 (/ x y)) (/ 1 y)))
(* (pow x 2) (+ (* x (- (/ x y) (/ 1 y))) (/ 1 y)))
(* (pow x 2) (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y)))
(/ x y)
(* x (- (/ 1 y) (/ 1 (* x y))))
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y))))
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y)))))
(/ x y)
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)) x)) (/ 1 y))))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))
(/ x y)
(* x (+ (* -1 (/ x y)) (/ 1 y)))
(* x (+ (* x (- (/ x y) (/ 1 y))) (/ 1 y)))
(* x (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y)))
(/ 1 y)
(- (/ 1 y) (/ 1 (* x y)))
(- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y)))
(- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y))))
(/ 1 y)
(- (/ 1 y) (/ 1 (* x y)))
(+ (* -1 (/ (- (/ 1 y) (/ 1 (* x y))) x)) (/ 1 y))
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 y) (/ 1 (* x y))) x)) (/ 1 y)) x)) (/ 1 y))
(/ x (* y (+ 1 x)))
(/ x (* y (+ 1 x)))
(/ x (* y (+ 1 x)))
(/ x (* y (+ 1 x)))
(/ x (* y (+ 1 x)))
(/ x (* y (+ 1 x)))
(/ x (* y (+ 1 x)))
(/ x (* y (+ 1 x)))
(* -1 (/ x (* y (- (* -1 x) 1))))
(* -1 (/ x (* y (- (* -1 x) 1))))
(* -1 (/ x (* y (- (* -1 x) 1))))
(* -1 (/ x (* y (- (* -1 x) 1))))
(/ y x)
(/ (+ y (* x y)) x)
(/ (+ y (* x y)) x)
(/ (+ y (* x y)) x)
y
(+ y (/ y x))
(+ y (/ y x))
(+ y (/ y x))
y
(+ y (/ y x))
(+ y (/ y x))
(+ y (/ 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)) x)
(* -1 (/ (* y (- (* -1 x) 1)) x))
(* -1 (/ (* y (- (* -1 x) 1)) x))
(* -1 (/ (* y (- (* -1 x) 1)) x))
(* -1 (/ (* y (- (* -1 x) 1)) x))
x
(* x (+ 1 (* x (- (/ 1 y) 1))))
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))
(/ x y)
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))
(/ x y)
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))
(/ (pow x 2) (* y (+ 1 x)))
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ x (+ 1 x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(/ x (+ 1 x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
1
(+ 1 (* x (- 1 (/ 1 y))))
(+ 1 (* x (- (+ 1 (* x (- (/ 1 (pow y 2)) (/ 1 y)))) (/ 1 y))))
(+ 1 (* x (- (+ 1 (* x (- (+ (* x (- (/ 1 (pow y 2)) (/ 1 (pow y 3)))) (/ 1 (pow y 2))) (/ 1 y)))) (/ 1 y))))
y
(- (+ y (/ y x)) (/ (pow y 2) x))
(- (+ y (+ (* -1 (/ (* y (- y (pow y 2))) (pow x 2))) (/ y x))) (/ (pow y 2) x))
(- (+ y (+ (/ y x) (/ (* (pow y 2) (- y (pow y 2))) (pow x 3)))) (+ (/ (* y (- y (pow y 2))) (pow x 2)) (/ (pow y 2) x)))
y
(+ y (* -1 (/ (- (* -1 y) (* -1 (pow y 2))) x)))
(+ y (* -1 (/ (- (+ (* -1 y) (* -1 (/ (* y (- (* -1 y) (* -1 (pow y 2)))) x))) (* -1 (pow y 2))) x)))
(+ y (* -1 (/ (- (+ (* -1 y) (* -1 (/ (- (* -1 (/ (* (pow y 2) (- (* -1 y) (* -1 (pow y 2)))) x)) (* -1 (* y (- (* -1 y) (* -1 (pow y 2)))))) x))) (* -1 (pow y 2))) x)))
(/ (* y (+ 1 x)) x)
(* y (+ 1 (+ (* -1 (* y (+ (/ 1 x) (/ 1 (pow x 2))))) (/ 1 x))))
(* y (+ 1 (+ (* y (- (/ (* y (+ (/ 1 x) (/ 1 (pow x 2)))) x) (+ (/ 1 x) (/ 1 (pow x 2))))) (/ 1 x))))
(* y (+ 1 (+ (* y (- (* y (- (* -1 (* y (+ (/ 1 (pow x 3)) (/ 1 (pow x 4))))) (* -1 (/ (+ (/ 1 x) (/ 1 (pow x 2))) x)))) (+ (/ 1 x) (/ 1 (pow x 2))))) (/ 1 x))))
(+ 1 x)
(+ 1 (+ x (* -1 (/ (* x (+ 1 x)) y))))
(- (+ 1 (+ x (/ (* (pow x 2) (+ 1 x)) (pow y 2)))) (/ (* x (+ 1 x)) y))
(- (+ 1 (+ x (* -1 (/ (* (pow x 3) (+ 1 x)) (pow y 3))))) (+ (* -1 (/ (* (pow x 2) (+ 1 x)) (pow y 2))) (/ (* x (+ 1 x)) y)))
(+ 1 x)
(+ 1 (+ x (* -1 (/ (* x (+ 1 x)) y))))
(+ 1 (+ x (* -1 (/ (- (* -1 (/ (* (pow x 2) (+ 1 x)) y)) (* -1 (* x (+ 1 x)))) y))))
(+ 1 (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow x 3) (+ 1 x)) y)) (* -1 (* (pow x 2) (+ 1 x)))) y)) (* -1 (* x (+ 1 x)))) y))))
y
(+ y (* x y))
(+ y (* x y))
(+ y (* x y))
(* x y)
(* x (+ y (/ y x)))
(* x (+ y (/ y x)))
(* x (+ y (/ y x)))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(* y (+ 1 x))
(* y (+ 1 x))
(* y (+ 1 x))
(* y (+ 1 x))
(* y (+ 1 x))
(* y (+ 1 x))
(* y (+ 1 x))
(* y (+ 1 x))
(* -1 (* y (- (* -1 x) 1)))
(* -1 (* y (- (* -1 x) 1)))
(* -1 (* y (- (* -1 x) 1)))
(* -1 (* y (- (* -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 (fma.f64 x (fma.f64 x (+.f64 (neg.f64 x) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) 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 (fma.f64 x (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x y))) (/.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 (fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x y))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 x y))) (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)))))
(+.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 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) 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 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))) x)) x) (neg.f64 x) (/.f64 x y))
(/ (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 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(/ x (+ 1 x))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
x
(* x (+ 1 (* x (- (/ 1 y) 1))))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(* x (+ 1 (* x (- (/ 1 y) 1))))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(* x (+ 1 (* x (- (/ 1 y) 1))))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(* (pow x 2) (- (/ 1 y) 1))
(*.f64 x (-.f64 (/.f64 x y) x))
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(* -1 (* (pow x 2) (- 1 (/ 1 y))))
(*.f64 x (-.f64 (/.f64 x y) x))
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x)))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x)))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x)))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y)
(/.f64 (fma.f64 y (-.f64 x (.f64 x x)) (.f64 x x)) y)
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y)
(/.f64 (fma.f64 y (-.f64 x (.f64 x x)) (.f64 x x)) y)
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y)
(/.f64 (fma.f64 y (-.f64 x (.f64 x x)) (.f64 x x)) y)
(+ x (* -1 (pow x 2)))
(-.f64 x (*.f64 x x))
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(+ x (* -1 (pow x 2)))
(-.f64 x (*.f64 x x))
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(* x (- (/ 1 y) 1))
(-.f64 (/.f64 x y) x)
(* x (- (/ 1 y) 1))
(-.f64 (/.f64 x y) x)
(* x (- (/ 1 y) 1))
(-.f64 (/.f64 x y) x)
(* x (- (/ 1 y) 1))
(-.f64 (/.f64 x y) x)
(* x (- (/ 1 y) 1))
(-.f64 (/.f64 x y) x)
(* x (- (/ 1 y) 1))
(-.f64 (/.f64 x y) x)
(* x (- (/ 1 y) 1))
(-.f64 (/.f64 x y) x)
(* x (- (/ 1 y) 1))
(-.f64 (/.f64 x y) x)
(* -1 (* x (- 1 (/ 1 y))))
(-.f64 (/.f64 x y) x)
(* -1 (* x (- 1 (/ 1 y))))
(-.f64 (/.f64 x y) x)
(* -1 (* x (- 1 (/ 1 y))))
(-.f64 (/.f64 x y) x)
(* -1 (* x (- 1 (/ 1 y))))
(-.f64 (/.f64 x y) x)
(/ x y)
(/.f64 x y)
(/ (+ x (* -1 (* x y))) y)
(/.f64 (-.f64 x (*.f64 x y)) y)
(/ (+ x (* -1 (* x y))) y)
(/.f64 (-.f64 x (*.f64 x y)) y)
(/ (+ x (* -1 (* x y))) y)
(/.f64 (-.f64 x (*.f64 x y)) y)
(* -1 x)
(neg.f64 x)
(- (/ x y) x)
(-.f64 (/.f64 x y) x)
(- (/ x y) x)
(-.f64 (/.f64 x y) x)
(- (/ x y) x)
(-.f64 (/.f64 x y) x)
(* -1 x)
(neg.f64 x)
(- (/ x y) x)
(-.f64 (/.f64 x y) x)
(- (/ x y) x)
(-.f64 (/.f64 x y) x)
(- (/ x y) x)
(-.f64 (/.f64 x y) x)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
x
(* x (+ 1 (* x (- (/ 1 y) 1))))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))
(fma.f64 x (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 (fma.f64 x (fma.f64 x (+.f64 (neg.f64 x) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) 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 (fma.f64 x (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x y))) (/.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 (fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x y))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 x y))) (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)))))
(+.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 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) 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 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))) x)) x) (neg.f64 x) (/.f64 x y))
(/ (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 #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 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- (+ x y) 1) y)
(/.f64 (+.f64 y (+.f64 x #s(literal -1 binary64))) y)
(/ (- (+ x y) 1) y)
(/.f64 (+.f64 y (+.f64 x #s(literal -1 binary64))) y)
(/ (- (+ x y) 1) y)
(/.f64 (+.f64 y (+.f64 x #s(literal -1 binary64))) y)
1
#s(literal 1 binary64)
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(- (+ 1 (/ x y)) (/ 1 y))
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(+ (* -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 x)
(/.f64 y x)
(/ (+ y (* x y)) x)
(+.f64 y (/.f64 y x))
(/ (+ y (* x y)) x)
(+.f64 y (/.f64 y x))
(/ (+ y (* x y)) x)
(+.f64 y (/.f64 y x))
y
(+ y (/ y x))
(+.f64 y (/.f64 y x))
(+ y (/ y x))
(+.f64 y (/.f64 y x))
(+ y (/ y x))
(+.f64 y (/.f64 y x))
y
(+ y (/ y x))
(+.f64 y (/.f64 y x))
(+ y (/ y x))
(+.f64 y (/.f64 y x))
(+ y (/ y x))
(+.f64 y (/.f64 y x))
(/ (* y (+ 1 x)) x)
(+.f64 y (/.f64 y x))
(/ (* y (+ 1 x)) x)
(+.f64 y (/.f64 y x))
(/ (* y (+ 1 x)) x)
(+.f64 y (/.f64 y x))
(/ (* y (+ 1 x)) x)
(+.f64 y (/.f64 y x))
(/ (* y (+ 1 x)) x)
(+.f64 y (/.f64 y x))
(/ (* y (+ 1 x)) x)
(+.f64 y (/.f64 y x))
(/ (* y (+ 1 x)) x)
(+.f64 y (/.f64 y x))
(/ (* y (+ 1 x)) x)
(+.f64 y (/.f64 y x))
(* -1 (/ (* y (- (* -1 x) 1)) x))
(+.f64 y (/.f64 y x))
(* -1 (/ (* y (- (* -1 x) 1)) x))
(+.f64 y (/.f64 y x))
(* -1 (/ (* y (- (* -1 x) 1)) x))
(+.f64 y (/.f64 y x))
(* -1 (/ (* y (- (* -1 x) 1)) x))
(+.f64 y (/.f64 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 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 (fma.f64 x (fma.f64 x (+.f64 (neg.f64 x) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) 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 (fma.f64 x (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x y))) (/.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 (fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x y))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 x y))) (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)))))
(+.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 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) 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 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))) x)) x) (neg.f64 x) (/.f64 x y))
(/ (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 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(/ x (+ 1 x))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* x (- 1 (/ 1 y))))
(+.f64 #s(literal 1 binary64) (-.f64 x (/.f64 x y)))
(+ 1 (* x (- (+ 1 (* x (- (/ 1 (pow y 2)) (/ 1 y)))) (/ 1 y))))
(fma.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (-.f64 (/.f64 x (*.f64 y y)) (/.f64 x y)) (/.f64 #s(literal -1 binary64) y))) #s(literal 1 binary64))
(+ 1 (* x (- (+ 1 (* x (- (+ (* x (- (/ 1 (pow y 2)) (/ 1 (pow y 3)))) (/ 1 (pow y 2))) (/ 1 y)))) (/ 1 y))))
(fma.f64 x (fma.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (+.f64 (/.f64 x (.f64 y y)) (/.f64 x (.f64 y (.f64 y (neg.f64 y)))))) (/.f64 #s(literal -1 binary64) y)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))) #s(literal 1 binary64))
y
(- (+ y (/ y x)) (/ (pow y 2) x))
(+.f64 y (/.f64 (-.f64 y (*.f64 y y)) x))
(- (+ y (+ (* -1 (/ (* y (- y (pow y 2))) (pow x 2))) (/ y x))) (/ (pow y 2) x))
(+.f64 y (/.f64 (fma.f64 y (-.f64 (/.f64 (-.f64 (*.f64 y y) y) x) y) y) x))
(- (+ y (+ (/ y x) (/ (* (pow y 2) (- y (pow y 2))) (pow x 3)))) (+ (/ (* y (- y (pow y 2))) (pow x 2)) (/ (pow y 2) x)))
(fma.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 y (-.f64 y (.f64 y y))) (.f64 x (.f64 x x)))) (/.f64 (fma.f64 y (-.f64 (/.f64 (-.f64 (*.f64 y y) y) x) y) y) x))
y
(+ y (* -1 (/ (- (* -1 y) (* -1 (pow y 2))) x)))
(+.f64 y (/.f64 (-.f64 y (*.f64 y y)) x))
(+ y (* -1 (/ (- (+ (* -1 y) (* -1 (/ (* y (- (* -1 y) (* -1 (pow y 2)))) x))) (* -1 (pow y 2))) x)))
(+.f64 y (/.f64 (fma.f64 y (-.f64 (/.f64 (-.f64 (*.f64 y y) y) x) y) y) x))
(+ y (* -1 (/ (- (+ (* -1 y) (* -1 (/ (- (* -1 (/ (* (pow y 2) (- (* -1 y) (* -1 (pow y 2)))) x)) (* -1 (* y (- (* -1 y) (* -1 (pow y 2)))))) x))) (* -1 (pow y 2))) x)))
(-.f64 y (/.f64 (-.f64 (fma.f64 y y (/.f64 (.f64 (-.f64 (.f64 y y) y) (fma.f64 y (/.f64 y x) (neg.f64 y))) x)) y) x))
(/ (* y (+ 1 x)) x)
(+.f64 y (/.f64 y x))
(* y (+ 1 (+ (* -1 (* y (+ (/ 1 x) (/ 1 (pow x 2))))) (/ 1 x))))
(fma.f64 y (-.f64 #s(literal 1 binary64) (+.f64 (/.f64 y x) (/.f64 y (*.f64 x x)))) (/.f64 y x))
(* y (+ 1 (+ (* y (- (/ (* y (+ (/ 1 x) (/ 1 (pow x 2)))) x) (+ (/ 1 x) (/ 1 (pow x 2))))) (/ 1 x))))
(fma.f64 y (fma.f64 y (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 (/.f64 y x) #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 y x))
(* y (+ 1 (+ (* y (- (* y (- (* -1 (* y (+ (/ 1 (pow x 3)) (/ 1 (pow x 4))))) (* -1 (/ (+ (/ 1 x) (/ 1 (pow x 2))) x)))) (+ (/ 1 x) (/ 1 (pow x 2))))) (/ 1 x))))
(fma.f64 y (fma.f64 y (fma.f64 y (-.f64 (/.f64 (neg.f64 y) (.f64 x (.f64 x x))) (/.f64 y (.f64 x (.f64 x (.f64 x x))))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 (/.f64 y x) #s(literal -1 binary64)))) #s(literal 1 binary64)) (/.f64 y x))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (+ x (* -1 (/ (* x (+ 1 x)) y))))
(fma.f64 x (/.f64 (-.f64 #s(literal -1 binary64) x) y) (+.f64 x #s(literal 1 binary64)))
(- (+ 1 (+ x (/ (* (pow x 2) (+ 1 x)) (pow y 2)))) (/ (* x (+ 1 x)) y))
(+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) y) (fma.f64 x (/.f64 x y) (neg.f64 x)) x))
(- (+ 1 (+ x (* -1 (/ (* (pow x 3) (+ 1 x)) (pow y 3))))) (+ (* -1 (/ (* (pow x 2) (+ 1 x)) (pow y 2))) (/ (* x (+ 1 x)) y)))
(+.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (+.f64 (fma.f64 x x x) (/.f64 (.f64 x (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (/.f64 x y) (neg.f64 x)))) y)) y)))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (+ x (* -1 (/ (* x (+ 1 x)) y))))
(fma.f64 x (/.f64 (-.f64 #s(literal -1 binary64) x) y) (+.f64 x #s(literal 1 binary64)))
(+ 1 (+ x (* -1 (/ (- (* -1 (/ (* (pow x 2) (+ 1 x)) y)) (* -1 (* x (+ 1 x)))) y))))
(+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) y) (fma.f64 x (/.f64 x y) (neg.f64 x)) x))
(+ 1 (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow x 3) (+ 1 x)) y)) (* -1 (* (pow x 2) (+ 1 x)))) y)) (* -1 (* x (+ 1 x)))) y))))
(+.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (+.f64 (fma.f64 x x x) (/.f64 (.f64 x (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (/.f64 x y) (neg.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)

rewrite295.0ms (3.8%)

Memory

-36.2MiB live, 415.1MiB allocated

Rules

5 272×	`lower-/.f32`
5 262×	`lower-/.f64`
5 154×	`lower-fma.f32`
5 150×	`lower-fma.f64`
4 294×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	233
0	50	225
1	210	221
2	1580	221
0	8689	215

Stop Event

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

Counts

18 → 253

Calls

Call 1

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

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

eval74.0ms (0.9%)

Memory: 34.0MiB live, 152.1MiB allocated
Compiler: Compiled 9 192 to 852 computations (90.7% saved)

prune82.0ms (1%)

Memory

-24.0MiB live, 144.9MiB allocated

Pruning

21 alts after pruning (12 fresh and 9 done)

	Pruned	Kept	Total
New	659	2	661
Fresh	1	10	11
Picked	1	4	5
Done	0	5	5
Total	661	21	682

Accuracy

100.0%

Counts

682 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.8%	(/.f64 x #s(approx (/ (+ x 1) (+ (/ x y) 1)) (+.f64 y (/.f64 y x))))
	52.5%	(/.f64 x #s(approx (/ (+ x 1) (+ (/ x y) 1)) (+.f64 x #s(literal 1 binary64))))
	38.7%	#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (/.f64 (*.f64 x x) (fma.f64 x y y)))
	47.2%	#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))
✓	60.6%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x #s(approx (- (/ x y) x) (/.f64 x y)) x))
✓	42.9%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x #s(approx (- (/ x y) x) (neg.f64 x)) x))
✓	35.8%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))
	35.7%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 #s(literal 1 binary64) y) x))
	42.9%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x))
	29.4%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 (.f64 (fma.f64 x #s(approx (- (/ x y) x) (/.f64 x y)) x) (fma.f64 x #s(approx (- (/ x y) x) (/.f64 x y)) (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(approx (- (/ x y) x) (/.f64 x y)) (neg.f64 x)))))
	19.9%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 (.f64 x x) (pow.f64 (pow.f64 (fma.f64 x y y) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
✓	38.7%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x y y))))
	23.0%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 (.f64 x x) #s(approx (/ 1 (+ (* x y) y)) (/.f64 #s(literal 1 binary64) y))))
✓	44.5%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 x (/.f64 x (fma.f64 x y y))))
✓	24.3%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 x #s(approx (/ x (+ ( x y) y)) (/.f64 x y))))
✓	24.3%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 x #s(approx (/ x (+ ( x y) y)) (*.f64 (/.f64 #s(literal 1 binary64) y) x))))
	35.5%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))
✓	14.7%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64)))
✓	23.0%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* x (- (/ x y) x)) x) (/.f64 (*.f64 x x) y)))
	16.3%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (* (* x x) (/ 1 (+ (* x y) y))) (.f64 (/.f64 x y) (-.f64 x (.f64 x x)))))
	35.5%	#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 647 to 192 computations (70.3% saved)

regimes36.0ms (0.5%)

Memory

16.4MiB live, 54.6MiB allocated

Counts

39 → 1

Calls

Call 1

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

Calls

3 calls:

13.0ms	y
11.0ms	x
11.0ms	(/.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)

regimes32.0ms (0.4%)

Memory

-18.0MiB live, 59.6MiB allocated

Counts

33 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.9%	3	`x`
90.0%	1	`y`
99.9%	3	`(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))`

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes20.0ms (0.3%)

Memory

0.6MiB live, 41.2MiB allocated

Counts

30 → 3

Calls

Call 1

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

Calls

2 calls:

11.0ms	x
8.0ms	(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))

Results

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

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes21.0ms (0.3%)

Memory

-2.8MiB live, 35.0MiB allocated

Counts

29 → 3

Calls

Call 1

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

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

Calls

2 calls:

11.0ms	(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
8.0ms	x

Results

Accuracy	Segments	Branch
98.7%	4	`(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))`
97.9%	3	`x`

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes6.0ms (0.1%)

Memory

8.1MiB live, 8.1MiB allocated

Counts

14 → 3

Calls

Call 1

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
97.6%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes14.0ms (0.2%)

Memory

20.7MiB live, 20.7MiB allocated

Counts

12 → 4

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
75.5%	4	`y`
91.2%	4	`(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))`
87.9%	4	`x`

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes25.0ms (0.3%)

Memory

-19.0MiB live, 18.8MiB allocated

Counts

11 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

21.0ms	(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
4.0ms	x

Results

Accuracy	Segments	Branch
75.0%	3	`x`
84.5%	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)

regimes3.0ms (0%)

Memory

6.0MiB live, 6.0MiB allocated

Counts

6 → 4

Calls

Call 1

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

Outputs
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x #s(approx (- (/ x y) x) (neg.f64 x)) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.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
83.3%	4	`(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes3.0ms (0%)

Memory

5.4MiB live, 5.4MiB allocated

Counts

5 → 4

Calls

Call 1

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
83.1%	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)

regimes6.0ms (0.1%)

Memory

12.2MiB live, 12.2MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
42.9%	1	`y`
53.5%	4	`x`
55.5%	2	`(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))`

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes31.0ms (0.4%)

Memory

-27.9MiB 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 (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64)))

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

Calls

3 calls:

28.0ms	(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
14.7%	1	`y`
14.7%	1	`x`
14.7%	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)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	8.673426039372865e+276	+inf
0.0ms	-1.4739703436535655e+122	-1.0071775330873329e+122

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch23.0ms (0.3%)

Memory

-11.2MiB live, 31.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	15514905831866.408	47876224449112105000.0
14.0ms	-6.60670028396232e+83	-3.530005362916899e+71

Samples

9.0ms

176×

valid

Compiler

Compiled 280 to 189 computations (32.5% saved)

Precisions

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

ival-div: 2.0ms (37.1% of total)

ival-add: 2.0ms (37.1% of total)

ival-mult: 1.0ms (18.5% of total)

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

exact: 0.0ms (0% of total)

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

bsearch30.0ms (0.4%)

Memory

6.1MiB live, 43.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.000439966658211335	4186.994734980857
11.0ms	-149.35645649782768	-0.007653464919742579

Samples

14.0ms

272×

valid

Compiler

Compiled 407 to 251 computations (38.3% saved)

Precisions

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

ival-div: 4.0ms (48.4% of total)

ival-add: 2.0ms (24.2% of total)

ival-mult: 2.0ms (24.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch6.0ms (0.1%)

Memory

11.0MiB live, 11.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
4.0ms	0.000439966658211335	4186.994734980857
1.0ms	-149.35645649782768	-0.007653464919742579

Samples

2.0ms

48×

valid

Compiler

Compiled 390 to 234 computations (40% saved)

Precisions

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

ival-div: 1.0ms (70.8% 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

0.7MiB live, 0.7MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.006740522277267	2108698532873.126
0.0ms	0.001131402828847005	0.9963515668944257
0.0ms	-2.6866239555972237e+86	-1.765865703161786e+86

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.006740522277267	2108698532873.126
0.0ms	-536538.0393752668	-0.004301799332032252

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.006740522277267	2108698532873.126
0.0ms	0.0004397731726781808	0.001131402828847005
0.0ms	-536538.0393752668	-0.004301799332032252

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.006740522277267	2108698532873.126
0.0ms	0.0004397731726781808	0.001131402828847005
0.0ms	-536538.0393752668	-0.004301799332032252

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0004397731726781808	0.001131402828847005

Compiler

Compiled 16 to 13 computations (18.8% saved)

simplify17.0ms (0.2%)

Memory

-11.3MiB live, 26.5MiB allocated

Algorithm

1×	egg-herbie

Rules

14×	`+-commutative_binary64`
4×	`*-commutative_binary64`
4×	`sub-neg_binary64`
2×	`1-exp_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	853
1	105	853
2	108	853
3	109	853

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 x (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -120000000000000009067909281637661699854361099658075726165462743261098308443235643990389112634023133120665894572357677219840 binary64)) (/.f64 x #s(approx (/ (+ x 1) (+ (/ x y) 1)) (+.f64 y (/.f64 y x)))) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 10000000000000000028678785109953723248702060064614983783573429926910385653902272159683291957333224649616958313128598304010187936385481780447799767184805866054345934040104083320587698215409722049436653961817402491275192019201707119869992081071729797163687409453914913289541779456 binary64)) (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))))
(if (<=.f64 x #s(literal -839999999999999956716709781604115137605436657882053956561036222117445632 binary64)) #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))) (if (<=.f64 x #s(literal 20000000000000 binary64)) (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) #s(approx (/ (+ (* (/ x y) x) x) (+ 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 y) x) x) (+ 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)) (fma.f64 x (-.f64 (/.f64 x y) x) x)) #s(approx (/ (+ (* (/ x y) x) x) (+ 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 y) x) x) (+ 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 y) x) x) (+ 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 -200000000000000002926139046134974606194008597572931011855722157433959272850229643182080 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (+.f64 x #s(literal -1 binary64)) y))) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 1152921504606847/576460752303423488 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x #s(approx (- (/ x y) x) (/.f64 x y)) x)) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (+.f64 x #s(literal -1 binary64)) y))))))
(if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -500000 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (+.f64 x #s(literal -1 binary64)) y))) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))))
(if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -500000 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (+.f64 x #s(literal -1 binary64)) y))) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 1152921504606847/2305843009213693952 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x #s(approx (- (/ x y) x) (neg.f64 x)) x)) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (+.f64 x #s(literal -1 binary64)) y))))))
(if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -500000 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 1152921504606847/2305843009213693952 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x #s(approx (- (/ x y) x) (neg.f64 x)) x)) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)))))
(if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 1152921504606847/2305843009213693952 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x #s(approx (- (/ x y) x) (neg.f64 x)) x)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64))))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64)))

Outputs
(/.f64 x (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64))))
(/.f64 x (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -120000000000000009067909281637661699854361099658075726165462743261098308443235643990389112634023133120665894572357677219840 binary64)) (/.f64 x #s(approx (/ (+ x 1) (+ (/ x y) 1)) (+.f64 y (/.f64 y x)))) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 10000000000000000028678785109953723248702060064614983783573429926910385653902272159683291957333224649616958313128598304010187936385481780447799767184805866054345934040104083320587698215409722049436653961817402491275192019201707119869992081071729797163687409453914913289541779456 binary64)) (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))))
(if (<=.f64 (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal -120000000000000009067909281637661699854361099658075726165462743261098308443235643990389112634023133120665894572357677219840 binary64)) (/.f64 x #s(approx (/ (+ x 1) (+ (/ x y) 1)) (+.f64 y (/.f64 y x)))) (if (<=.f64 (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal 10000000000000000028678785109953723248702060064614983783573429926910385653902272159683291957333224649616958313128598304010187936385481780447799767184805866054345934040104083320587698215409722049436653961817402491275192019201707119869992081071729797163687409453914913289541779456 binary64)) (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))))
(if (<=.f64 x #s(literal -839999999999999956716709781604115137605436657882053956561036222117445632 binary64)) #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))) (if (<=.f64 x #s(literal 20000000000000 binary64)) (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) #s(approx (/ (+ (* (/ x y) x) x) (+ 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 y) x) x) (+ 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)) (fma.f64 x (-.f64 (/.f64 x y) x) x)) #s(approx (/ (+ (* (/ x y) x) x) (+ 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 y) x) x) (+ 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 y) x) x) (+ 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 -200000000000000002926139046134974606194008597572931011855722157433959272850229643182080 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (+.f64 x #s(literal -1 binary64)) y))) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 1152921504606847/576460752303423488 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x #s(approx (- (/ x y) x) (/.f64 x y)) x)) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (+.f64 x #s(literal -1 binary64)) y))))))
(if (<=.f64 (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal -200000000000000002926139046134974606194008597572931011855722157433959272850229643182080 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (+.f64 x #s(literal -1 binary64)) y))) (if (<=.f64 (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal 1152921504606847/576460752303423488 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x #s(approx (- (/ x y) x) (/.f64 x y)) x)) (if (<=.f64 (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (+.f64 x #s(literal -1 binary64)) y))))))
(if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -500000 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (+.f64 x #s(literal -1 binary64)) y))) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))))
(if (<=.f64 (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal -500000 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (+.f64 x #s(literal -1 binary64)) y))) (if (<=.f64 (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))))
(if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -500000 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (+.f64 x #s(literal -1 binary64)) y))) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 1152921504606847/2305843009213693952 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x #s(approx (- (/ x y) x) (neg.f64 x)) x)) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (+.f64 x #s(literal -1 binary64)) y))))))
(if (<=.f64 (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal -500000 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (+.f64 x #s(literal -1 binary64)) y))) (if (<=.f64 (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal 1152921504606847/2305843009213693952 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x #s(approx (- (/ x y) x) (neg.f64 x)) x)) (if (<=.f64 (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (+.f64 x #s(literal -1 binary64)) y))))))
(if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -500000 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 1152921504606847/2305843009213693952 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x #s(approx (- (/ x y) x) (neg.f64 x)) x)) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)))))
(if (<=.f64 (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal -500000 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) (if (<=.f64 (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal 1152921504606847/2305843009213693952 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x #s(approx (- (/ x y) x) (neg.f64 x)) x)) (if (<=.f64 (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)))))
(if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 1152921504606847/2305843009213693952 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x #s(approx (- (/ x y) x) (neg.f64 x)) x)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal 1152921504606847/2305843009213693952 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (fma.f64 x #s(approx (- (/ x y) x) (neg.f64 x)) x)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64))))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64)))

soundness1.3s (17%)

Memory

-6.6MiB live, 916.8MiB allocated

Rules

21 530×	`lower-fma.f64`
21 530×	`lower-fma.f32`
12 936×	`lower-fma.f64`
12 936×	`lower-fma.f32`
12 570×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	745
1	250	724
2	660	648
3	3422	635
0	9168	612
0	194	4021
1	571	3774
2	1572	3179
3	7176	3172
0	8028	3034
0	8	29
0	13	29
1	62	29
2	454	29
3	7068	29
0	8044	27
0	297	4407
1	938	4132
2	2788	3550
0	8503	3413
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×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 791 to 274 computations (65.4% saved)

preprocess83.0ms (1.1%)

Memory: 24.4MiB live, 139.8MiB allocated
Compiler: Compiled 924 to 166 computations (82% 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%)

analyze34.0ms (0.4%)

sample826.0ms (10.6%)

explain93.0ms (1.2%)

preprocess407.0ms (5.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify17.0ms (0.2%)

localize55.0ms (0.7%)

series9.0ms (0.1%)

simplify395.0ms (5.1%)

rewrite247.0ms (3.2%)

eval103.0ms (1.3%)

prune76.0ms (1%)

simplify170.0ms (2.2%)

localize82.0ms (1.1%)

series23.0ms (0.3%)

simplify296.0ms (3.8%)

rewrite384.0ms (4.9%)

eval242.0ms (3.1%)

prune330.0ms (4.2%)

simplify177.0ms (2.3%)

localize216.0ms (2.8%)

series22.0ms (0.3%)

simplify272.0ms (3.5%)

rewrite286.0ms (3.7%)

eval122.0ms (1.6%)

prune128.0ms (1.6%)

simplify210.0ms (2.7%)

localize107.0ms (1.4%)

series17.0ms (0.2%)

simplify314.0ms (4%)

rewrite295.0ms (3.8%)

eval74.0ms (0.9%)

prune82.0ms (1%)

regimes36.0ms (0.5%)

regimes32.0ms (0.4%)

regimes20.0ms (0.3%)

regimes21.0ms (0.3%)

regimes6.0ms (0.1%)

regimes14.0ms (0.2%)

regimes25.0ms (0.3%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes6.0ms (0.1%)

regimes31.0ms (0.4%)

bsearch1.0ms (0%)

bsearch23.0ms (0.3%)

bsearch30.0ms (0.4%)

bsearch6.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify17.0ms (0.2%)

soundness1.3s (17%)

preprocess83.0ms (1.1%)

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