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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze39.0ms (0.6%)

Memory

21.6MiB live, 59.8MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
25%	25%	74.9%	0.1%	0%	0%	0%	3
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	4
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	5
65.6%	65.6%	34.3%	0.1%	0%	0%	0%	6
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	7
82%	82%	18%	0.1%	0%	0%	0%	8
87.9%	87.8%	12.1%	0.1%	0%	0%	0%	9
90.8%	90.7%	9.2%	0.1%	0%	0%	0%	10
93.8%	93.8%	6.1%	0.1%	0%	0%	0%	11
95.4%	95.3%	4.6%	0.1%	0%	0%	0%	12

Compiler

Compiled 13 to 10 computations (23.1% saved)

sample946.0ms (14.1%)

Memory

5.6MiB live, 1 477.8MiB allocated

Samples

662.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 355.0ms

ival-div: 160.0ms (45.1% of total)

ival-add: 98.0ms (27.6% of total)

ival-mult: 81.0ms (22.8% of total)

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

exact: 5.0ms (1.4% of total)

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

Bogosity

explain106.0ms (1.6%)

Memory

-0.7MiB live, 113.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
38	-	-	`(/.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	38	0
↳	`(/.f64 x y)`	overflow	29
↳	`(*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64)))`	overflow	67
↳	`(+.f64 (/.f64 x y) #s(literal 1 binary64))`	overflow	29

Confusion

	Predicted +	Predicted -
+	38	0
-	0	218

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	38	0	0
-	0	0	218

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	218
1	38

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

30.0ms

512×

valid

Compiler

Compiled 79 to 28 computations (64.6% saved)

Precisions

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

ival-div: 7.0ms (43.8% of total)

ival-add: 5.0ms (31.3% of total)

ival-mult: 3.0ms (18.8% of total)

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

exact: 0.0ms (0% of total)

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

preprocess187.0ms (2.8%)

Memory

-26.7MiB live, 28.2MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	86.1%	(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify13.0ms (0.2%)

Memory

12.6MiB live, 12.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize41.0ms (0.6%)

Memory

-7.0MiB live, 27.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 (/.f64 x y) #s(literal 1 binary64))
accuracy	0	(+.f64 x #s(literal 1 binary64))
accuracy	0.0859375	(*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64)))
accuracy	8.888766436014906	(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))

Samples

34.0ms

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 (25.3% of total)

ival-mult: 2.0ms (25.3% 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

15.4MiB live, 15.4MiB 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 (/ (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 (/ (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 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 (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt x (taylor 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 (+ 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 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 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 (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 (+ 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 -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 -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 (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 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 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 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 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 (/ (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 (/ 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 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 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 (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 (/ (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 (/ 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 (/ 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 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 (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

6 calls:

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

simplify273.0ms (4.1%)

Memory

-13.5MiB live, 218.6MiB 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	3420	635
0	9161	612

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 102

Calls

Call 1

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

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

rewrite254.0ms (3.8%)

Memory

-3.6MiB live, 123.3MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

5 → 397

Calls

Call 1

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

Outputs
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eval74.0ms (1.1%)

Memory: 25.0MiB live, 62.3MiB allocated
Compiler: Compiled 9 670 to 1 220 computations (87.4% saved)

prune74.0ms (1.1%)

Memory

-8.9MiB live, 35.1MiB allocated

Pruning

11 alts after pruning (11 fresh and 0 done)

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

Accuracy

100.0%

Counts

500 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	86.1%	(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64)))
	86.1%	(/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
	86.1%	(/.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
▶	77.4%	(/.f64 #s(approx (* x (+ (/ x y) 1)) (*.f64 (/.f64 x y) (+.f64 y x))) (+.f64 x #s(literal 1 binary64)))
	85.9%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 x y) x x)))
	54.6%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
▶	53.0%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x))
▶	92.5%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y))
	48.3%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
▶	42.8%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))
▶	45.5%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x))

Compiler

Compiled 218 to 164 computations (24.8% saved)

simplify402.0ms (6%)

Memory

14.6MiB live, 129.2MiB 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 (+ (/ x y) 1)) (*.f64 (/.f64 x y) (+.f64 y x)))
cost-diff	0	(/.f64 #s(approx (* x (+ (/ x y) 1)) (*.f64 (/.f64 x y) (+.f64 y x))) (+.f64 x #s(literal 1 binary64)))
cost-diff	128	(*.f64 (/.f64 x y) (+.f64 y x))
cost-diff	0	(fma.f64 y x y)
cost-diff	0	(/.f64 x (fma.f64 y x y))
cost-diff	0	(*.f64 (/.f64 x (fma.f64 y x y)) x)
cost-diff	0	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x))
cost-diff	0	(/.f64 x y)
cost-diff	0	(-.f64 (/.f64 x y) x)
cost-diff	0	(fma.f64 (-.f64 (/.f64 x y) x) x x)
cost-diff	0	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x))
cost-diff	0	(/.f64 x y)
cost-diff	0	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))
cost-diff	0	(/.f64 x (+.f64 #s(literal 1 binary64) x))
cost-diff	0	(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x))
cost-diff	0	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y))
cost-diff	512	(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)

Rules

10 404×	`lower-fma.f32`
10 400×	`lower-fma.f64`
3 640×	`lower-*.f32`
3 634×	`lower-*.f64`
1 804×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	208
0	43	208
1	87	208
2	132	206
3	266	202
4	520	202
5	1348	202
6	3620	202
7	6103	202
0	8059	197

Stop Event

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

Calls

Call 1

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

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

localize153.0ms (2.3%)

Memory

-20.6MiB live, 144.9MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 x #s(literal 1 binary64))
accuracy	0	#s(approx (* x (+ (/ x y) 1)) (*.f64 (/.f64 x y) (+.f64 y x)))
accuracy	5.686638450018003	(*.f64 (/.f64 x y) (+.f64 y x))
accuracy	8.888766436014906	(/.f64 #s(approx (* x (+ (/ x y) 1)) (*.f64 (/.f64 x y) (+.f64 y x))) (+.f64 x #s(literal 1 binary64)))
accuracy	0	(fma.f64 y x y)
accuracy	0.17578125	(*.f64 (/.f64 x (fma.f64 y x y)) x)
accuracy	8.996033109512794	(/.f64 x (fma.f64 y x y))
accuracy	29.409370773848288	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x))
accuracy	0	(/.f64 x y)
accuracy	0.015625	(-.f64 (/.f64 x y) x)
accuracy	0.0546875	(fma.f64 (-.f64 (/.f64 x y) x) x x)
accuracy	30.054441875793366	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x))
accuracy	0	(/.f64 x y)
accuracy	36.60108193116203	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))
accuracy	0	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y))
accuracy	0.01171875	(/.f64 x (+.f64 #s(literal 1 binary64) x))
accuracy	0.01171875	(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x))
accuracy	4.7734318276009065	(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)

Samples

75.0ms

256×

valid

Compiler

Compiled 164 to 23 computations (86% saved)

Precisions

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

ival-mult: 9.0ms (35.7% of total)

ival-div: 8.0ms (31.8% of total)

ival-add: 7.0ms (27.8% of total)

ival-sub: 1.0ms (4% of total)

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

exact: 0.0ms (0% of total)

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

series32.0ms (0.5%)

Memory

9.7MiB live, 50.2MiB allocated

Counts

17 → 384

Calls

Call 1

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

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

6 calls:

Time	Variable		Point	Expression
8.0ms	x	@	inf	((/ (* (/ x (+ 1 x)) (+ y x)) y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ 1 x)) (+ y x)) (/ x (+ 1 x)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ x y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (- (/ x y) x) x) x) (- (/ x y) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ (* y x) y)) x) (/ x (+ (* y x) y)) (+ (* y x) y) (* (/ x y) (+ y x)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* x (+ (/ x y) 1)) (+ x 1))
4.0ms	y	@	0	((/ (* (/ x (+ 1 x)) (+ y x)) y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ 1 x)) (+ y x)) (/ x (+ 1 x)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ x y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (- (/ x y) x) x) x) (- (/ x y) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ (* y x) y)) x) (/ x (+ (* y x) y)) (+ (* y x) y) (* (/ x y) (+ y x)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* x (+ (/ x y) 1)) (+ x 1))
3.0ms	y	@	-inf	((/ (* (/ x (+ 1 x)) (+ y x)) y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ 1 x)) (+ y x)) (/ x (+ 1 x)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ x y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (- (/ x y) x) x) x) (- (/ x y) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ (* y x) y)) x) (/ x (+ (* y x) y)) (+ (* y x) y) (* (/ x y) (+ y x)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* x (+ (/ x y) 1)) (+ x 1))
3.0ms	x	@	-inf	((/ (* (/ x (+ 1 x)) (+ y x)) y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ 1 x)) (+ y x)) (/ x (+ 1 x)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ x y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (- (/ x y) x) x) x) (- (/ x y) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ (* y x) y)) x) (/ x (+ (* y x) y)) (+ (* y x) y) (* (/ x y) (+ y x)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* x (+ (/ x y) 1)) (+ x 1))
2.0ms	y	@	inf	((/ (* (/ x (+ 1 x)) (+ y x)) y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ 1 x)) (+ y x)) (/ x (+ 1 x)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ x y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (- (/ x y) x) x) x) (- (/ x y) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ (* y x) y)) x) (/ x (+ (* y x) y)) (+ (* y x) y) (* (/ x y) (+ y x)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* x (+ (/ x y) 1)) (+ x 1))

simplify163.0ms (2.4%)

Memory

16.1MiB live, 240.1MiB allocated

Algorithm

1×	egg-herbie

Rules

15 086×	`lower-fma.f64`
15 086×	`lower-fma.f32`
3 864×	`lower-+.f64`
3 864×	`lower-+.f32`
3 488×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	245	4196
1	755	3979
2	2115	3444
0	8270	3281

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 365

Calls

Call 1

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

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

rewrite213.0ms (3.2%)

Memory

-24.5MiB live, 271.2MiB allocated

Rules

5 776×	`lower-/.f32`
5 766×	`lower-/.f64`
4 828×	`lower-fma.f32`
4 824×	`lower-fma.f64`
4 666×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	181
0	43	181
1	189	179
2	1475	175
0	8637	170

Stop Event

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

Counts

17 → 876

Calls

Call 1

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

Outputs
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eval163.0ms (2.4%)

Memory: 14.1MiB live, 398.7MiB allocated
Compiler: Compiled 24 014 to 3 696 computations (84.6% saved)

prune40.0ms (0.6%)

Memory

-6.8MiB live, 116.0MiB allocated

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	1 330	11	1 341
Fresh	4	2	6
Picked	3	2	5
Done	0	0	0
Total	1 337	15	1 352

Accuracy

100.0%

Counts

1 352 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	86.1%	(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64)))
✓	53.0%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x))
▶	52.9%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x))
	53.0%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x)) x x))
▶	39.5%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x))
	35.6%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 x x) (fma.f64 y x y)))
	54.7%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y))
	32.1%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (*.f64 y x)) y))
	45.6%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (/.f64 (fma.f64 y x y) x)))
	48.3%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
✓	42.8%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))
▶	76.6%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 y x) (/.f64 x (fma.f64 y x y))))
▶	20.5%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 #s(approx (/ x (+ ( y x) y)) (/.f64 x y)) x))
	42.7%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 #s(approx (/ x (+ ( y x) y)) (/.f64 #s(literal 1 binary64) y)) x))
	42.2%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (* (/ x (+ (* y x) y)) x) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64)))))

Compiler

Compiled 235 to 186 computations (20.9% saved)

simplify131.0ms (2%)

Memory

-1.3MiB live, 165.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

8 098×	`lower-fma.f32`
8 090×	`lower-fma.f64`
4 772×	`lower-*.f32`
4 768×	`lower-*.f64`
1 850×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	218
0	47	214
1	82	214
2	105	214
3	214	214
4	430	214
5	936	214
6	1568	214
7	3398	214
8	7093	214
0	8443	214

Stop Event

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

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

localize70.0ms (1%)

Memory

-16.8MiB live, 143.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 y x)
accuracy	0	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 y x) (/.f64 x (fma.f64 y x y))))
accuracy	5.733513450018003	(*.f64 (+.f64 y x) (/.f64 x (fma.f64 y x y)))
accuracy	8.996033109512794	(/.f64 x (fma.f64 y x y))
accuracy	0	(/.f64 x y)
accuracy	0.0546875	(fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x)
accuracy	30.054441875793366	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x))
accuracy	31.177799736181424	#s(approx (- (/ x y) x) (/.f64 x y))
accuracy	0	(/.f64 x y)
accuracy	0.17578125	(.f64 #s(approx (/ x (+ ( y x) y)) (/.f64 x y)) x)
accuracy	29.409370773848288	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 #s(approx (/ x (+ ( y x) y)) (/.f64 x y)) x))
accuracy	33.64484256902275	#s(approx (/ x (+ (* y x) y)) (/.f64 x y))
accuracy	0	(neg.f64 x)
accuracy	0.0546875	(fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)
accuracy	30.054441875793366	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x))
accuracy	31.89774235565002	#s(approx (- (/ x y) x) (neg.f64 x))
accuracy	0	(/.f64 x y)
accuracy	0	(+.f64 x #s(literal 1 binary64))
accuracy	0.07421875	(fma.f64 (/.f64 x y) x x)
accuracy	8.888766436014906	(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64)))

Samples

53.0ms

256×

valid

Compiler

Compiled 158 to 23 computations (85.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-add: 9.0ms (33.1% of total)

ival-mult: 9.0ms (33.1% of total)

ival-div: 7.0ms (25.7% of total)

ival-sub: 1.0ms (3.7% of total)

ival-neg: 1.0ms (3.7% of total)

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

exact: 0.0ms (0% of total)

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

series25.0ms (0.4%)

Memory

14.9MiB live, 53.2MiB allocated

Counts

18 → 408

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	y	@	0	((/ (+ (* (/ x y) x) x) (+ x 1)) (+ (* (/ x y) x) x) (/ x y) (+ x 1) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (- (/ x y) x) x) x) (- (/ x y) x) (neg x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ (* y x) y)) x) (/ x (+ (* y x) y)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (- (/ x y) x) x) x) (- (/ x y) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (+ y x) (/ x (+ (* y x) y))) (+ y x) (/ x (+ (* y x) y)))
2.0ms	y	@	-inf	((/ (+ (* (/ x y) x) x) (+ x 1)) (+ (* (/ x y) x) x) (/ x y) (+ x 1) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (- (/ x y) x) x) x) (- (/ x y) x) (neg x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ (* y x) y)) x) (/ x (+ (* y x) y)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (- (/ x y) x) x) x) (- (/ x y) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (+ y x) (/ x (+ (* y x) y))) (+ y x) (/ x (+ (* y x) y)))
2.0ms	y	@	inf	((/ (+ (* (/ x y) x) x) (+ x 1)) (+ (* (/ x y) x) x) (/ x y) (+ x 1) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (- (/ x y) x) x) x) (- (/ x y) x) (neg x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ (* y x) y)) x) (/ x (+ (* y x) y)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (- (/ x y) x) x) x) (- (/ x y) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (+ y x) (/ x (+ (* y x) y))) (+ y x) (/ x (+ (* y x) y)))
2.0ms	x	@	-inf	((/ (+ (* (/ x y) x) x) (+ x 1)) (+ (* (/ x y) x) x) (/ x y) (+ x 1) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (- (/ x y) x) x) x) (- (/ x y) x) (neg x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ (* y x) y)) x) (/ x (+ (* y x) y)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (- (/ x y) x) x) x) (- (/ x y) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (+ y x) (/ x (+ (* y x) y))) (+ y x) (/ x (+ (* y x) y)))
1.0ms	x	@	inf	((/ (+ (* (/ x y) x) x) (+ x 1)) (+ (* (/ x y) x) x) (/ x y) (+ x 1) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (- (/ x y) x) x) x) (- (/ x y) x) (neg x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ (* y x) y)) x) (/ x (+ (* y x) y)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (- (/ x y) x) x) x) (- (/ x y) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (+ y x) (/ x (+ (* y x) y))) (+ y x) (/ x (+ (* y x) y)))

simplify171.0ms (2.6%)

Memory

8.6MiB live, 244.2MiB allocated

Algorithm

1×	egg-herbie

Rules

12 770×	`lower-fma.f64`
12 770×	`lower-fma.f32`
4 080×	`lower-*.f64`
4 080×	`lower-*.f32`
2 560×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	192	4198
1	572	3928
2	1586	3454
3	7252	3438
0	8479	3267

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 389

Calls

Call 1

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

rewrite162.0ms (2.4%)

Memory

-12.7MiB live, 267.0MiB allocated

Rules

5 876×	`lower-fma.f32`
5 868×	`lower-fma.f64`
5 120×	`lower-/.f32`
5 114×	`lower-/.f64`
4 444×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	198
0	47	194
1	183	194
2	1315	194
0	8297	194

Stop Event

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

Counts

18 → 491

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

Outputs
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eval111.0ms (1.7%)

Memory: 34.0MiB live, 223.9MiB allocated
Compiler: Compiled 16 397 to 2 055 computations (87.5% saved)

prune33.0ms (0.5%)

Memory

11.6MiB live, 86.6MiB allocated

Pruning

18 alts after pruning (11 fresh and 7 done)

	Pruned	Kept	Total
New	988	6	994
Fresh	3	5	8
Picked	0	5	5
Done	0	2	2
Total	991	18	1 009

Accuracy

100.0%

Counts

1 009 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	86.1%	(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64)))
	48.3%	#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
	45.5%	#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x))
✓	53.0%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x))
✓	52.9%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x))
	53.0%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x)) x x))
✓	39.5%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x))
▶	54.7%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y))
▶	32.1%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (*.f64 y x)) y))
✓	42.8%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))
▶	39.5%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x))
✓	76.6%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 y x) (/.f64 x (fma.f64 y x y))))
▶	44.2%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 (+.f64 y x) #s(approx (/ x (+ ( y x) y)) (/.f64 x y))))
✓	20.5%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 #s(approx (/ x (+ ( y x) y)) (/.f64 x y)) x))
	20.5%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 #s(approx (/ x (+ ( y x) y)) (/.f64 #s(literal 1 binary64) (/.f64 y x))) x))
	42.7%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 #s(approx (/ x (+ ( y x) y)) (/.f64 #s(literal 1 binary64) y)) x))
▶	17.7%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (- (/ x y) x) x) x) (/.f64 (*.f64 x x) y)))
	42.2%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (* (/ x (+ (* y x) y)) x) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64)))))

Compiler

Compiled 240 to 200 computations (16.7% saved)

simplify213.0ms (3.2%)

Memory

-5.6MiB live, 79.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

2 792×	`lower-fma.f64`
2 792×	`lower-fma.f32`
1 432×	`lower-*.f32`
1 424×	`lower-*.f64`
692×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	303
0	54	303
1	97	303
2	155	303
3	313	303
4	820	303
5	2708	303
6	3585	303
7	3940	303
8	4058	303
9	4134	303
10	4150	303
11	4400	303
12	4628	303
13	4798	303
14	4832	303
15	4832	303
16	4832	303
17	4832	303
0	4832	291

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize103.0ms (1.5%)

Memory

-10.8MiB live, 147.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 y x)
accuracy	0	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 (+.f64 y x) #s(approx (/ x (+ ( y x) y)) (/.f64 x y))))
accuracy	5.733513450018003	(.f64 (+.f64 y x) #s(approx (/ x (+ ( y x) y)) (/.f64 x y)))
accuracy	33.64484256902275	#s(approx (/ x (+ (* y x) y)) (/.f64 x y))
accuracy	0	(*.f64 y x)
accuracy	0	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (*.f64 y x)) y))
accuracy	4.7734318276009065	(/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (*.f64 y x)) y)
accuracy	38.594183815501545	#s(approx (* (/ x (+ 1 x)) (+ y x)) (*.f64 y x))
accuracy	0	(*.f64 x x)
accuracy	6.804063146876474	(/.f64 (*.f64 x x) y)
accuracy	30.054441875793366	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (- (/ x y) x) x) x) (/.f64 (*.f64 x x) y)))
accuracy	34.60446763013657	#s(approx (+ (* (- (/ x y) x) x) x) (/.f64 (*.f64 x x) y))
accuracy	0	(neg.f64 x)
accuracy	0.0546875	(*.f64 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x)
accuracy	30.054441875793366	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x))
accuracy	31.89774235565002	#s(approx (- (/ x y) x) (neg.f64 x))
accuracy	0	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y))
accuracy	0.00390625	(-.f64 y (-.f64 #s(literal 1 binary64) x))
accuracy	4.7734318276009065	(/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y)
accuracy	28.88462929699559	#s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x)))

Samples

86.0ms

256×

valid

Compiler

Compiled 183 to 29 computations (84.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

ival-mult: 22.0ms (30.9% of total)

ival-neg: 21.0ms (29.5% of total)

ival-add: 15.0ms (21.1% of total)

ival-div: 10.0ms (14% of total)

ival-sub: 3.0ms (4.2% of total)

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

exact: 0.0ms (0% of total)

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

series30.0ms (0.4%)

Memory

-22.1MiB live, 54.9MiB allocated

Counts

21 → 480

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	y	@	-inf	((/ (* x (+ (/ x y) 1)) (+ x 1)) (/ (* (/ x (+ 1 x)) (+ y x)) y) (* (/ x (+ 1 x)) (+ y x)) (- y (- 1 x)) (* (+ (- (/ x y) x) 1) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (- (/ x y) x) 1) (- (/ x y) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (- (/ x y) x) x) x) (/ (* x x) y) (* x x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ (* (/ x (+ 1 x)) (+ y x)) y) (* (/ x (+ 1 x)) (+ y x)) (* y x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (+ y x) (/ x (+ (* y x) y))) (+ y x) (/ x (+ (* y x) y)) (neg x))
2.0ms	x	@	-inf	((/ (* x (+ (/ x y) 1)) (+ x 1)) (/ (* (/ x (+ 1 x)) (+ y x)) y) (* (/ x (+ 1 x)) (+ y x)) (- y (- 1 x)) (* (+ (- (/ x y) x) 1) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (- (/ x y) x) 1) (- (/ x y) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (- (/ x y) x) x) x) (/ (* x x) y) (* x x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ (* (/ x (+ 1 x)) (+ y x)) y) (* (/ x (+ 1 x)) (+ y x)) (* y x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (+ y x) (/ x (+ (* y x) y))) (+ y x) (/ x (+ (* y x) y)) (neg x))
2.0ms	y	@	inf	((/ (* x (+ (/ x y) 1)) (+ x 1)) (/ (* (/ x (+ 1 x)) (+ y x)) y) (* (/ x (+ 1 x)) (+ y x)) (- y (- 1 x)) (* (+ (- (/ x y) x) 1) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (- (/ x y) x) 1) (- (/ x y) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (- (/ x y) x) x) x) (/ (* x x) y) (* x x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ (* (/ x (+ 1 x)) (+ y x)) y) (* (/ x (+ 1 x)) (+ y x)) (* y x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (+ y x) (/ x (+ (* y x) y))) (+ y x) (/ x (+ (* y x) y)) (neg x))
2.0ms	y	@	0	((/ (* x (+ (/ x y) 1)) (+ x 1)) (/ (* (/ x (+ 1 x)) (+ y x)) y) (* (/ x (+ 1 x)) (+ y x)) (- y (- 1 x)) (* (+ (- (/ x y) x) 1) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (- (/ x y) x) 1) (- (/ x y) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (- (/ x y) x) x) x) (/ (* x x) y) (* x x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ (* (/ x (+ 1 x)) (+ y x)) y) (* (/ x (+ 1 x)) (+ y x)) (* y x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (+ y x) (/ x (+ (* y x) y))) (+ y x) (/ x (+ (* y x) y)) (neg x))
2.0ms	x	@	inf	((/ (* x (+ (/ x y) 1)) (+ x 1)) (/ (* (/ x (+ 1 x)) (+ y x)) y) (* (/ x (+ 1 x)) (+ y x)) (- y (- 1 x)) (* (+ (- (/ x y) x) 1) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (- (/ x y) x) 1) (- (/ x y) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (- (/ x y) x) x) x) (/ (* x x) y) (* x x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ (* (/ x (+ 1 x)) (+ y x)) y) (* (/ x (+ 1 x)) (+ y x)) (* y x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (+ y x) (/ x (+ (* y x) y))) (+ y x) (/ x (+ (* y x) y)) (neg x))

simplify174.0ms (2.6%)

Memory

5.2MiB live, 200.3MiB allocated

Algorithm

1×	egg-herbie

Rules

13 012×	`lower-fma.f64`
13 012×	`lower-fma.f32`
3 874×	`lower-*.f64`
3 874×	`lower-*.f32`
3 602×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	231	5223
1	682	5123
2	1925	4324
3	7596	4280
0	8635	4129

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 456

Calls

Call 1

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

rewrite176.0ms (2.6%)

Memory

18.6MiB live, 209.1MiB allocated

Rules

5 024×	`lower-/.f32`
5 016×	`lower-/.f64`
4 848×	`lower-*.f32`
4 840×	`lower-*.f64`
4 482×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	286
0	54	286
1	230	286
2	1748	286
0	8582	274

Stop Event

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

Counts

21 → 247

Calls

Call 1

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

Outputs
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eval102.0ms (1.5%)

Memory: 21.6MiB live, 142.0MiB allocated
Compiler: Compiled 9 737 to 1 323 computations (86.4% saved)

prune31.0ms (0.5%)

Memory

-5.3MiB live, 70.3MiB allocated

Pruning

17 alts after pruning (9 fresh and 8 done)

	Pruned	Kept	Total
New	698	5	703
Fresh	2	4	6
Picked	3	2	5
Done	1	6	7
Total	704	17	721

Accuracy

100.0%

Counts

721 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	86.1%	(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64)))
	48.3%	#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
	45.5%	#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x))
✓	53.0%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x))
✓	52.9%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x))
	42.3%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) #s(approx (- y (- 1 x)) (-.f64 x #s(literal 1 binary64)))) y))
✓	42.8%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))
	54.7%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64)))
✓	76.6%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 y x) (/.f64 x (fma.f64 y x y))))
✓	44.2%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 (+.f64 y x) #s(approx (/ x (+ ( y x) y)) (/.f64 x y))))
✓	20.5%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 #s(approx (/ x (+ ( y x) y)) (/.f64 x y)) x))
	42.7%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 #s(approx (/ x (+ ( y x) y)) (/.f64 #s(literal 1 binary64) y)) x))
	39.5%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (- (/ x y) x) 1) (-.f64 #s(literal 1 binary64) x)) x))
	36.3%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (- (/ x y) x) 1) #s(literal 1 binary64)) x))
✓	17.7%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (- (/ x y) x) x) x) (/.f64 (*.f64 x x) y)))
	20.5%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (- (/ x y) x) x) x) (/.f64 x (/.f64 y x))))
	42.2%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (* (/ x (+ (* y x) y)) x) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64)))))

Compiler

Compiled 429 to 223 computations (48% saved)

regimes35.0ms (0.5%)

Memory

19.8MiB live, 56.7MiB allocated

Counts

34 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

14.0ms	y
10.0ms	x
9.0ms	(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))

Results

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

Compiler

Compiled 13 to 12 computations (7.7% saved)

regimes22.0ms (0.3%)

Memory

-22.4MiB live, 22.1MiB allocated

Counts

33 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

21.0ms

Results

Accuracy	Segments	Branch
100.0%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes33.0ms (0.5%)

Memory

11.4MiB live, 49.2MiB allocated

Counts

27 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

15.0ms	(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
8.0ms	y
8.0ms	x

Results

Accuracy	Segments	Branch
90.9%	3	`y`
94.2%	3	`(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))`
99.3%	3	`x`

Compiler

Compiled 13 to 12 computations (7.7% saved)

regimes12.0ms (0.2%)

Memory

-22.1MiB live, 16.2MiB allocated

Counts

24 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
99.3%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes6.0ms (0.1%)

Memory

12.9MiB live, 12.9MiB allocated

Counts

17 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
99.0%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes24.0ms (0.4%)

Memory

-11.2MiB live, 27.6MiB allocated

Counts

14 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

13.0ms	y
5.0ms	x
4.0ms	(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
72.0%	5	`y`
88.2%	3	`(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))`
88.4%	3	`x`

Compiler

Compiled 13 to 12 computations (7.7% saved)

regimes9.0ms (0.1%)

Memory

17.9MiB live, 17.9MiB allocated

Counts

12 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

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
87.2%	3	`(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))`
76.0%	3	`x`

Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes6.0ms (0.1%)

Memory

9.6MiB live, 9.6MiB allocated

Counts

6 → 3

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

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

Results

Accuracy	Segments	Branch
87.1%	3	`(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes7.0ms (0.1%)

Memory

-35.9MiB live, 10.7MiB allocated

Counts

5 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
75.2%	3	`x`
75.3%	3	`(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))`

Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes7.0ms (0.1%)

Memory

14.1MiB live, 14.1MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

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
39.5%	1	`y`
39.5%	1	`x`
39.5%	1	`(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))`

Compiler

Compiled 13 to 12 computations (7.7% saved)

regimes4.0ms (0.1%)

Memory

8.9MiB live, 8.9MiB 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)) (*.f64 #s(approx (+ (- (/ x y) x) 1) #s(literal 1 binary64)) x))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
36.3%	1	`(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))`
36.3%	1	`x`
36.3%	1	`y`

Compiler

Compiled 13 to 12 computations (7.7% saved)

bsearch40.0ms (0.6%)

Memory

-4.3MiB live, 34.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
27.0ms	8.505000617707514e-6	236434190.7581093
10.0ms	-19561982042837.043	-446824305855.2708

Samples

27.0ms

272×

valid

Compiler

Compiled 371 to 319 computations (14% saved)

Precisions

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

ival-div: 4.0ms (48.9% of total)

ival-add: 2.0ms (24.5% of total)

ival-mult: 2.0ms (24.5% of total)

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

exact: 0.0ms (0% of total)

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

bsearch21.0ms (0.3%)

Memory

-18.2MiB live, 20.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
3.0ms	236434190.7581093	4.3257846019656676e+24
11.0ms	-446824305855.2708	-216522424.79608122

Samples

8.0ms

160×

valid

Compiler

Compiled 194 to 173 computations (10.8% saved)

Precisions

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

ival-div: 2.0ms (40.9% of total)

ival-add: 1.0ms (20.5% of total)

ival-mult: 1.0ms (20.5% of total)

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

exact: 0.0ms (0% of total)

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

bsearch34.0ms (0.5%)

Memory

36.7MiB live, 71.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	8.505000617707514e-6	236434190.7581093
14.0ms	-216522424.79608122	-0.0009685333789288374

Samples

16.0ms

304×

valid

Compiler

Compiled 414 to 373 computations (9.9% saved)

Precisions

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

ival-div: 4.0ms (42.2% of total)

ival-add: 3.0ms (31.7% of total)

ival-mult: 2.0ms (21.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

4.4MiB live, 4.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	8.505000617707514e-6	236434190.7581093
1.0ms	-216522424.79608122	-0.0009685333789288374

Compiler

Compiled 354 to 313 computations (11.6% saved)

bsearch14.0ms (0.2%)

Memory

-30.2MiB live, 10.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	8.505000617707514e-6	236434190.7581093
1.0ms	-216522424.79608122	-0.0009685333789288374

Samples

10.0ms

48×

valid

Compiler

Compiled 334 to 313 computations (6.3% saved)

Precisions

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

ival-add: 8.0ms (91.3% of total)

ival-div: 1.0ms (11.4% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch27.0ms (0.4%)

Memory

10.6MiB live, 48.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	8.505000617707514e-6	236434190.7581093
10.0ms	-446824305855.2708	-216522424.79608122

Samples

12.0ms

240×

valid

Compiler

Compiled 266 to 283 computations (-6.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-div: 3.0ms (41.6% of total)

ival-add: 2.0ms (27.8% of total)

ival-mult: 1.0ms (13.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2198.5681356031455	410439827394279230.0
0.0ms	-643.7114185352902	-2.0969864338399093e-11

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2198.5681356031455	410439827394279230.0
0.0ms	-643.7114185352902	-2.0969864338399093e-11

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	8.50492828328721e-6	1.0
0.0ms	-643.7114185352902	-2.0969864338399093e-11

Compiler

Compiled 14 to 13 computations (7.1% saved)

simplify41.0ms (0.6%)

Memory

4.0MiB live, 41.8MiB allocated

Algorithm

1×	egg-herbie

Rules

22×	`+-commutative-binary64-+.f64`
16×	`-commutative-binary64-.f64`
14×	`sub-neg-binary64-neg.f64-+.f64--.f64`
6×	`neg-sub0-binary64--.f64-neg.f64`
6×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	99	687
1	118	687
2	128	687
3	137	687
4	139	687

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal -15500000000000 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 235000000 binary64)) (/.f64 (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -440000000000 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 50000000000000000 binary64)) (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 1 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x)) x x)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 1 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 5494391545392005/4503599627370496 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -220000000 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 2400 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -500 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) #s(approx (- y (- 1 x)) (-.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 4000 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))))
(if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -500 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 4000 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))))
(if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -500 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 5902958103587057/590295810358705651712 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (.f64 #s(approx (+ (- (/ x y) x) 1) (-.f64 #s(literal 1 binary64) x)) x)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (- (/ x y) x) 1) (-.f64 #s(literal 1 binary64) x)) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (- (/ x y) x) 1) #s(literal 1 binary64)) x))

Outputs
(if (<=.f64 x #s(literal -15500000000000 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 235000000 binary64)) (/.f64 (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -15500000000000 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 235000000 binary64)) (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1 binary64)) x) (+.f64 #s(literal 1 binary64) x)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -440000000000 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 50000000000000000 binary64)) (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -440000000000 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 50000000000000000 binary64)) (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 #s(literal 1 binary64) x)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 1 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x)) x x)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 1 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 5494391545392005/4503599627370496 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -220000000 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 2400 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -500 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) #s(approx (- y (- 1 x)) (-.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 4000 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))))
(if (<=.f64 (/.f64 (.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) x) (+.f64 #s(literal 1 binary64) x)) #s(literal -500 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) #s(approx (- y (- 1 x)) (-.f64 x #s(literal 1 binary64)))) y)) (if (<=.f64 (/.f64 (.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 4000 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))))
(if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -500 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 4000 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))))
(if (<=.f64 (/.f64 (.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) x) (+.f64 #s(literal 1 binary64) x)) #s(literal -500 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) (if (<=.f64 (/.f64 (.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 4000 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))))
(if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -500 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 5902958103587057/590295810358705651712 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (.f64 #s(approx (+ (- (/ x y) x) 1) (-.f64 #s(literal 1 binary64) x)) x)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))))
(if (<=.f64 (/.f64 (.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) x) (+.f64 #s(literal 1 binary64) x)) #s(literal -500 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) (if (<=.f64 (/.f64 (.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 5902958103587057/590295810358705651712 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (.f64 #s(approx (+ (- (/ x y) x) 1) (-.f64 #s(literal 1 binary64) x)) x)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (- (/ x y) x) 1) (-.f64 #s(literal 1 binary64) x)) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (- (/ x y) x) 1) #s(literal 1 binary64)) x))

soundness1.4s (21.6%)

Memory

4.8MiB live, 1 035.2MiB allocated

Rules

21 530×	`lower-fma.f64`
21 530×	`lower-fma.f32`
15 086×	`lower-fma.f64`
15 086×	`lower-fma.f32`
13 012×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	29
0	13	29
1	62	29
2	454	29
3	7068	29
0	8044	27
0	231	5223
1	682	5123
2	1925	4324
3	7596	4280
0	8635	4129
0	90	745
1	250	724
2	660	648
3	3420	635
0	9161	612
0	31	198
0	47	194
1	183	194
2	1315	194
0	8297	194
0	245	4196
1	755	3979
2	2115	3444
0	8270	3281

Stop Event

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

Compiler

Compiled 606 to 307 computations (49.3% saved)

preprocess185.0ms (2.8%)

Memory: 34.3MiB live, 221.5MiB allocated
Compiler: Compiled 738 to 204 computations (72.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

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

start0.0ms (0%)

analyze39.0ms (0.6%)

sample946.0ms (14.1%)

explain106.0ms (1.6%)

preprocess187.0ms (2.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify13.0ms (0.2%)

localize41.0ms (0.6%)

series9.0ms (0.1%)

simplify273.0ms (4.1%)

rewrite254.0ms (3.8%)

eval74.0ms (1.1%)

prune74.0ms (1.1%)

simplify402.0ms (6%)

localize153.0ms (2.3%)

series32.0ms (0.5%)

simplify163.0ms (2.4%)

rewrite213.0ms (3.2%)

eval163.0ms (2.4%)

prune40.0ms (0.6%)

simplify131.0ms (2%)

localize70.0ms (1%)

series25.0ms (0.4%)

simplify171.0ms (2.6%)

rewrite162.0ms (2.4%)

eval111.0ms (1.7%)

prune33.0ms (0.5%)

simplify213.0ms (3.2%)

localize103.0ms (1.5%)

series30.0ms (0.4%)

simplify174.0ms (2.6%)

rewrite176.0ms (2.6%)

eval102.0ms (1.5%)

prune31.0ms (0.5%)

regimes35.0ms (0.5%)

regimes22.0ms (0.3%)

regimes33.0ms (0.5%)

regimes12.0ms (0.2%)

regimes6.0ms (0.1%)

regimes24.0ms (0.4%)

regimes9.0ms (0.1%)

regimes6.0ms (0.1%)

regimes7.0ms (0.1%)

regimes7.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch40.0ms (0.6%)

bsearch21.0ms (0.3%)

bsearch34.0ms (0.5%)

bsearch2.0ms (0%)

bsearch14.0ms (0.2%)

bsearch27.0ms (0.4%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify41.0ms (0.6%)

soundness1.4s (21.6%)

preprocess185.0ms (2.8%)

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