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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze63.0ms (0.9%)

Memory

10.5MiB live, 45.9MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

sample959.0ms (13.4%)

Memory

21.1MiB live, 1 003.0MiB allocated

Samples

686.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 410.0ms

ival-add: 164.0ms (40% of total)

ival-div: 160.0ms (39% of total)

ival-mult: 69.0ms (16.8% of total)

ival-true: 7.0ms (1.7% of total)

exact: 6.0ms (1.5% of total)

ival-assert: 3.0ms (0.7% of total)

Bogosity

explain158.0ms (2.2%)

Memory

1.3MiB live, 99.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
31	-	-	`(/.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	31	0
↳	`(/.f64 x y)`	overflow	21
↳	`(*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64)))`	overflow	52
↳	`(+.f64 (/.f64 x y) #s(literal 1 binary64))`	overflow	21

Confusion

	Predicted +	Predicted -
+	31	0
-	0	225

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	31	0	0
-	0	0	225

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	225
1	31

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 81 to 28 computations (65.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-div: 7.0ms (42.3% of total)

ival-add: 5.0ms (30.2% of total)

ival-mult: 3.0ms (18.1% of total)

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

exact: 0.0ms (0% of total)

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

preprocess185.0ms (2.6%)

Memory

-24.3MiB live, 14.6MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	88.5%	(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))

Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify13.0ms (0.2%)

Memory

5.8MiB live, 5.8MiB 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)

localize20.0ms (0.3%)

Memory

15.4MiB live, 15.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 x #s(literal 1 binary64))
accuracy	0.0078125	(+.f64 (/.f64 x y) #s(literal 1 binary64))
accuracy	0.07421875	(*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64)))
accuracy	7.33057453086376	(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))

Samples

15.0ms

256×

valid

Compiler

Compiled 34 to 10 computations (70.6% saved)

Precisions

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

ival-div: 4.0ms (50.2% of total)

ival-add: 2.0ms (25.1% of total)

ival-mult: 2.0ms (25.1% of total)

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

exact: 0.0ms (0% of total)

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

series50.0ms (0.7%)

Memory

-30.8MiB live, 7.4MiB 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	x	@	0	((* x (+ (/ x y) 1)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (/ x y) 1) (/ x y) (+ x 1))

simplify335.0ms (4.7%)

Memory

32.3MiB live, 143.2MiB 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))))
(.f64 (fma.f64 (.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 x y) x) (+.f64 x #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) x #s(literal 1 binary64)) x)
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)) (neg.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (+.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))
(+.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 y x)) (/.f64 #s(literal -1 binary64) (.f64 x x))) (.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 y x)) (+.f64 #s(literal -1 binary64) x) (-.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 y x) x) x)) (/.f64 #s(literal 1 binary64) (.f64 x x)))))) #s(literal 1 binary64))
(/ x y)
(/.f64 x y)
(* 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)) (neg.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (+.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x))))
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))
(.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 y x)) (+.f64 #s(literal -1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (+.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x))) x)) x)) x)
(/ 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)

rewrite225.0ms (3.1%)

Memory

-1.2MiB live, 279.0MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

5 → 397

Calls

Call 1

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

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

eval54.0ms (0.8%)

Memory: 22.3MiB live, 135.7MiB allocated
Compiler: Compiled 10 937 to 1 190 computations (89.1% saved)

prune61.0ms (0.8%)

Memory

-15.9MiB live, 72.7MiB allocated

Pruning

12 alts after pruning (12 fresh and 0 done)

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

Accuracy

100.0%

Counts

500 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	88.5%	(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64)))
	37.1%	(/.f64 (*.f64 x #s(approx (+ (/ x y) 1) (/.f64 x y))) (+.f64 x #s(literal 1 binary64)))
	80.8%	(/.f64 #s(approx (* x (+ (/ x y) 1)) (*.f64 (/.f64 x y) (+.f64 y x))) (+.f64 x #s(literal 1 binary64)))
▶	99.9%	(/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
	99.9%	(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) x)
	43.9%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
▶	61.2%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x))
	88.3%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y))
	53.2%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
▶	34.8%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))
	56.5%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 (fma.f64 (.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) x #s(literal 1 binary64)) x))
▶	43.2%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x))

Compiler

Compiled 286 to 162 computations (43.4% saved)

simplify120.0ms (1.7%)

Memory

3.4MiB live, 41.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

1 856×	`lower-fma.f32`
1 850×	`lower-fma.f64`
936×	`lower-*.f32`
934×	`lower-*.f64`
684×	`unsub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	157
0	40	155
1	72	153
2	97	153
3	201	153
4	365	153
5	604	153
6	924	153
7	1399	153
8	2133	153
9	2977	153
10	3248	153
11	3248	153
12	3248	153
13	3266	153
14	3274	153
15	3274	153
0	3274	153

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize74.0ms (1%)

Memory

-12.7MiB live, 103.9MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 x y)
accuracy	0	(+.f64 x #s(literal 1 binary64))
accuracy	0.07650375976844201	(fma.f64 (/.f64 x y) x x)
accuracy	7.33057453086376	(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64)))
accuracy	0	(fma.f64 y x y)
accuracy	0.16015625	(*.f64 (/.f64 x (fma.f64 y x y)) x)
accuracy	6.422334852545464	(/.f64 x (fma.f64 y x y))
accuracy	32.91855683517187	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x))
accuracy	0	(/.f64 x y)
accuracy	0.00390625	(-.f64 (/.f64 x y) x)
accuracy	0.06478500976844201	(fma.f64 (-.f64 (/.f64 x y) x) x x)
accuracy	24.77277683745518	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x))
accuracy	0	(/.f64 x y)
accuracy	41.71174334740553	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))
accuracy	0	(+.f64 #s(literal 1 binary64) x)
accuracy	0.0078125	(+.f64 #s(literal 1 binary64) (/.f64 x y))
accuracy	0.05078125	(/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
accuracy	4.942809531490298	(/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y)))

Samples

56.0ms

256×

valid

Compiler

Compiled 143 to 24 computations (83.2% saved)

Precisions

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

ival-div: 17.0ms (39.8% of total)

ival-add: 14.0ms (32.8% of total)

ival-mult: 11.0ms (25.8% of total)

ival-sub: 1.0ms (2.3% of total)

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

exact: 0.0ms (0% of total)

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

series28.0ms (0.4%)

Memory

14.8MiB live, 52.5MiB allocated

Counts

16 → 360

Calls

Call 1

Inputs
#s(alt (/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y)))) (patch (/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y)))) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y))) (patch (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) (/.f64 x y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 x y)) #<representation binary64>) () ())
#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) #<representation binary64>) () ())
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())
#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x)) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 (/.f64 x y) x) x x) (patch (fma.f64 (-.f64 (/.f64 x y) x) x x) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 x y) x) (patch (-.f64 (/.f64 x y) x) #<representation binary64>) () ())
#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 (/.f64 x (fma.f64 y x y)) x)) (patch #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 x (fma.f64 y x y)) x) (patch (.f64 (/.f64 x (fma.f64 y x y)) x) #<representation binary64>) () ())
#s(alt (/.f64 x (fma.f64 y x y)) (patch (/.f64 x (fma.f64 y x y)) #<representation binary64>) () ())
#s(alt (fma.f64 y x y) (patch (fma.f64 y x y) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (/.f64 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 #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 x (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y)))) (patch (/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) (taylor 0 y) (#s(alt (/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y)))) (patch (/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) (taylor 0 y) (#s(alt (/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y)))) (patch (/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) (taylor 0 y) (#s(alt (/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y)))) (patch (/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (/ (* y (+ 1 x)) x) (taylor 0 y) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y))) (patch (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (+ (* -1 (* y (+ (/ 1 x) (/ 1 (pow x 2))))) (/ 1 x)))) (taylor 0 y) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y))) (patch (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (+ (* y (- (/ (* y (+ (/ 1 x) (/ 1 (pow x 2)))) x) (+ (/ 1 x) (/ 1 (pow x 2))))) (/ 1 x)))) (taylor 0 y) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y))) (patch (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (+ (* y (- (* y (- (* -1 (* y (+ (/ 1 (pow x 3)) (/ 1 (pow x 4))))) (* -1 (/ (+ (/ 1 x) (/ 1 (pow x 2))) x)))) (+ (/ 1 x) (/ 1 (pow x 2))))) (/ 1 x)))) (taylor 0 y) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y))) (patch (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 x y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x y) y) (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 x y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x y) y) (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 x y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x y) y) (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 x y)) (patch (+.f64 #s(literal 1 binary64) (/.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)) (/.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>) () ())) ())
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#s(alt (* (pow x 2) (+ (/ 1 x) (/ 1 y))) (taylor inf x) (#s(alt (fma.f64 (/.f64 x y) x x) (patch (fma.f64 (/.f64 x y) x x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (/ 1 x) (/ 1 y))) (taylor inf x) (#s(alt (fma.f64 (/.f64 x y) x x) (patch (fma.f64 (/.f64 x y) x x) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y)))) (patch (/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) (taylor -inf x) (#s(alt (/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y)))) (patch (/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) (taylor -inf x) (#s(alt (/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y)))) (patch (/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) (taylor -inf x) (#s(alt (/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y)))) (patch (/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf x) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y))) (patch (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 (/ (- (* -1 y) (* -1 (pow y 2))) x))) (taylor -inf x) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y))) (patch (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 (/ (- (+ (* -1 y) (* -1 (/ (* y (- (* -1 y) (* -1 (pow y 2)))) x))) (* -1 (pow y 2))) x))) (taylor -inf x) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y))) (patch (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 (/ (- (+ (* -1 y) (* -1 (/ (- (* -1 (/ (* (pow y 2) (- (* -1 y) (* -1 (pow y 2)))) x)) (* -1 (* y (- (* -1 y) (* -1 (pow y 2)))))) x))) (* -1 (pow y 2))) x))) (taylor -inf x) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y))) (patch (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 x y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (/ 1 x) (/ 1 y))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 x y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (/ 1 x) (/ 1 y))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 x y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (/ 1 x) (/ 1 y))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 x y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#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 (* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) (taylor -inf x) (#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 (* -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 x y)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.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 x y)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt #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 (* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) (taylor -inf x) (#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 (* -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 (-.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 (* -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 (-.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 (* -1 (* (pow x 2) (- 1 (/ 1 y)))) (taylor -inf x) (#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 (* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x))) (taylor -inf x) (#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 (* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x))) (taylor -inf x) (#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 (* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x))) (taylor -inf x) (#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 (* -1 (* x (- 1 (/ 1 y)))) (taylor -inf x) (#s(alt (-.f64 (/.f64 x y) x) (patch (-.f64 (/.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 y)))) (taylor -inf x) (#s(alt (-.f64 (/.f64 x y) x) (patch (-.f64 (/.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 y)))) (taylor -inf x) (#s(alt (-.f64 (/.f64 x y) x) (patch (-.f64 (/.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 y)))) (taylor -inf x) (#s(alt (-.f64 (/.f64 x y) x) (patch (-.f64 (/.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 (/.f64 x (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 (* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 (/.f64 x (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 (* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 (/.f64 x (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 (* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 (/.f64 x (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) (taylor -inf x) (#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 (* -1 (* x (- (/ 1 (* x y)) (/ 1 y)))) (taylor -inf x) (#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 (* -1 (* x (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)))) (taylor -inf x) (#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 (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)) x)) (/ 1 y)))) (taylor -inf x) (#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 (/ 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>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (fma.f64 y x y) (patch (fma.f64 y x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) (taylor -inf x) (#s(alt (fma.f64 y x y) (patch (fma.f64 y x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) (taylor -inf x) (#s(alt (fma.f64 y x y) (patch (fma.f64 y x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) (taylor -inf x) (#s(alt (fma.f64 y x y) (patch (fma.f64 y x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- 1 (/ 1 y)) x))) (/ 1 y)) x)) (/ 1 y)))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (- 1 (/ 1 y)) x)) (* -1 (- 1 (/ 1 y)))) x))) (/ 1 y)) x)) (/ 1 y)))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) y) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x y) x x) (patch (fma.f64 (/.f64 x y) x x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (/ 1 x) (/ 1 y))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x y) x x) (patch (fma.f64 (/.f64 x y) x x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (/ 1 x) (/ 1 y))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x y) x x) (patch (fma.f64 (/.f64 x y) x x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (/ 1 x) (/ 1 y))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x y) x x) (patch (fma.f64 (/.f64 x y) x x) #<representation binary64>) () ())) ())
#s(alt 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
6.0ms	x	@	inf	((/ x (/ (+ 1 x) (+ 1 (/ x y)))) (/ (+ 1 x) (+ 1 (/ x y))) (+ 1 x) (+ 1 (/ x y)) (/ (* 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) x) x) (+ x 1)) (+ (* (/ x y) x) x) (+ x 1))
4.0ms	y	@	0	((/ x (/ (+ 1 x) (+ 1 (/ x y)))) (/ (+ 1 x) (+ 1 (/ x y))) (+ 1 x) (+ 1 (/ x y)) (/ (* 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) x) x) (+ x 1)) (+ (* (/ x y) x) x) (+ x 1))
3.0ms	y	@	-inf	((/ x (/ (+ 1 x) (+ 1 (/ x y)))) (/ (+ 1 x) (+ 1 (/ x y))) (+ 1 x) (+ 1 (/ x y)) (/ (* 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) x) x) (+ x 1)) (+ (* (/ x y) x) x) (+ x 1))
3.0ms	x	@	-inf	((/ x (/ (+ 1 x) (+ 1 (/ x y)))) (/ (+ 1 x) (+ 1 (/ x y))) (+ 1 x) (+ 1 (/ x y)) (/ (* 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) x) x) (+ x 1)) (+ (* (/ x y) x) x) (+ x 1))
2.0ms	y	@	inf	((/ x (/ (+ 1 x) (+ 1 (/ x y)))) (/ (+ 1 x) (+ 1 (/ x y))) (+ 1 x) (+ 1 (/ x y)) (/ (* 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) x) x) (+ x 1)) (+ (* (/ x y) x) x) (+ x 1))

simplify162.0ms (2.3%)

Memory

12.1MiB live, 204.7MiB allocated

Algorithm

1×	egg-herbie

Rules

12 174×	`lower-fma.f64`
12 174×	`lower-fma.f32`
5 314×	`lower-+.f64`
5 314×	`lower-+.f32`
3 286×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	315	3832
1	1004	3628
2	2957	3244
0	8185	3082

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 344

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)
(/ (* y (+ 1 x)) x)
(* y (+ 1 (+ (* -1 (* y (+ (/ 1 x) (/ 1 (pow x 2))))) (/ 1 x))))
(* y (+ 1 (+ (* y (- (/ (* y (+ (/ 1 x) (/ 1 (pow x 2)))) x) (+ (/ 1 x) (/ 1 (pow x 2))))) (/ 1 x))))
(* y (+ 1 (+ (* y (- (* y (- (* -1 (* y (+ (/ 1 (pow x 3)) (/ 1 (pow x 4))))) (* -1 (/ (+ (/ 1 x) (/ 1 (pow x 2))) x)))) (+ (/ 1 x) (/ 1 (pow x 2))))) (/ 1 x))))
(/ x y)
(/ (+ x y) y)
(/ (+ x y) y)
(/ (+ 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)
(/ 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)
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(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
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1
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1
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x
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1
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1
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1
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x
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(/ x y)
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x
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x
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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)))
(/ 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
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x
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(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))
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x
(* x (+ 1 (/ x y)))
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1
(+ 1 x)
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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))))))
y
(- (+ y (/ y x)) (/ (pow y 2) x))
(- (+ y (+ (* -1 (/ (* y (- y (pow y 2))) (pow x 2))) (/ y x))) (/ (pow y 2) x))
(- (+ y (+ (/ y x) (/ (* (pow y 2) (- y (pow y 2))) (pow x 3)))) (+ (/ (* y (- y (pow y 2))) (pow x 2)) (/ (pow y 2) x)))
x
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(/ x y)
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(* (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))
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(* 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)))))
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(/ x y)
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(/ 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)))
(/ x y)
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(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))
(/ (pow x 2) y)
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x
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y
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x
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(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
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(* -1 (* x (- 1 (/ 1 y))))
(* -1 (* x (- 1 (/ 1 y))))
(* -1 (* x (- 1 (/ 1 y))))
(* -1 (* x (- 1 (/ 1 y))))
(/ x y)
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(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
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(/ x y)
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))
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x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))

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

rewrite193.0ms (2.7%)

Memory

-27.0MiB live, 338.8MiB allocated

Rules

5 414×	`lower-/.f32`
5 404×	`lower-/.f64`
4 242×	`lower-fma.f32`
4 236×	`lower-fma.f64`
4 230×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	136
0	40	134
1	187	132
2	1396	132
0	8293	132

Stop Event

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

Counts

16 → 807

Calls

Call 1

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

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

eval147.0ms (2.1%)

Memory: 23.4MiB live, 331.0MiB allocated
Compiler: Compiled 26 401 to 2 082 computations (92.1% saved)

prune35.0ms (0.5%)

Memory

8.9MiB live, 127.1MiB allocated

Pruning

20 alts after pruning (17 fresh and 3 done)

	Pruned	Kept	Total
New	1 289	15	1 304
Fresh	5	2	7
Picked	2	3	5
Done	0	0	0
Total	1 296	20	1 316

Accuracy

100.0%

Counts

1 316 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	88.5%	(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64)))
	80.8%	(/.f64 #s(approx (* x (+ (/ x y) 1)) (*.f64 (/.f64 x y) (+.f64 y x))) (+.f64 x #s(literal 1 binary64)))
	43.3%	(/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (/.f64 (fma.f64 y x y) x)))
	53.2%	(/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (+.f64 #s(literal 1 binary64) x)))
	43.0%	(/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) #s(literal 1 binary64)))
▶	99.9%	(*.f64 (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) x)
	88.3%	#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y))
▶	32.3%	#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (/.f64 (*.f64 x x) (fma.f64 y x y)))
	61.2%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) y) x (neg.f64 x)) x x))
	43.9%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
	61.2%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x))
	47.0%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x))
✓	34.8%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))
✓	43.2%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x))
	43.2%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 (/.f64 x (+.f64 (.f64 y x) y)) x))
	48.5%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 x y)))
	34.7%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 #s(literal 1 binary64) y) x))
▶	21.6%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 #s(approx (/ x (+ ( y x) y)) (/.f64 x y)) x))
▶	48.9%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (- (/ x y) x) x) x) (/.f64 (fma.f64 (-.f64 x (.f64 x x)) y (.f64 x x)) y)))
▶	47.0%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (- (/ x y) x) x) x) (-.f64 x (*.f64 x x))))

Compiler

Compiled 401 to 209 computations (47.9% saved)

simplify189.0ms (2.6%)

Memory

-13.8MiB live, 154.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

7 028×	`lower-fma.f32`
7 024×	`lower-fma.f64`
3 338×	`lower-*.f32`
3 332×	`lower-*.f64`
1 376×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	261
0	51	261
1	84	261
2	108	261
3	244	257
4	470	257
5	964	257
6	1636	251
7	2470	246
8	4340	246
9	6244	246
10	7366	246
11	7868	246
12	7976	246
0	8232	238

Stop Event

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

Calls

Call 1

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

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

localize86.0ms (1.2%)

Memory

13.0MiB live, 171.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(-.f64 x (*.f64 x x))
accuracy	6.871050402434323	(fma.f64 (-.f64 x (.f64 x x)) y (.f64 x x))
accuracy	10.577138635432227	(/.f64 (fma.f64 (-.f64 x (.f64 x x)) y (.f64 x x)) y)
accuracy	24.77277683745518	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (- (/ x y) x) x) x) (/.f64 (fma.f64 (-.f64 x (.f64 x x)) y (.f64 x x)) y)))
accuracy	0	(fma.f64 y x y)
accuracy	0	(*.f64 x x)
accuracy	16.317608855393157	(/.f64 (*.f64 x x) (fma.f64 y x y))
accuracy	32.91855683517187	#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (/.f64 (*.f64 x x) (fma.f64 y x y)))
accuracy	0	(/.f64 x y)
accuracy	0.16015625	(.f64 #s(approx (/ x (+ ( y x) y)) (/.f64 x y)) x)
accuracy	27.497397043641254	#s(approx (/ x (+ (* y x) y)) (/.f64 x y))
accuracy	32.91855683517187	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 #s(approx (/ x (+ ( y x) y)) (/.f64 x y)) x))
accuracy	0	(*.f64 x x)
accuracy	0.01171875	(-.f64 x (*.f64 x x))
accuracy	18.97334074643226	#s(approx (+ (* (- (/ x y) x) x) x) (-.f64 x (*.f64 x x)))
accuracy	24.77277683745518	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (- (/ x y) x) x) x) (-.f64 x (*.f64 x x))))
accuracy	0	(+.f64 #s(literal 1 binary64) x)
accuracy	0.0078125	(+.f64 (/.f64 x y) #s(literal 1 binary64))
accuracy	0.11328125	(*.f64 (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) x)
accuracy	4.956115446095848	(/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))

Samples

69.0ms

256×

valid

Compiler

Compiled 181 to 29 computations (84% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-add: 24.0ms (45% of total)

ival-div: 13.0ms (24.4% of total)

ival-mult: 13.0ms (24.4% of total)

ival-sub: 2.0ms (3.7% of total)

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

exact: 0.0ms (0% of total)

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

series31.0ms (0.4%)

Memory

-12.7MiB live, 67.0MiB allocated

Counts

19 → 420

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	y	@	-inf	((* (/ (+ (/ x y) 1) (+ 1 x)) x) (/ (+ (/ x y) 1) (+ 1 x)) (+ (/ x y) 1) (/ x y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (- (/ x y) x) x) x) (- x (* x x)) (* x x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ (* y x) y)) x) (/ x (+ (* y x) y)) (/ (+ (* (/ x y) x) x) (+ x 1)) (/ (* x x) (+ (* y x) y)) (+ (* y x) y) (/ (+ (* (- x (* x x)) y) (* x x)) y) (+ (* (- x (* x x)) y) (* x x)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (- (/ x y) x) x) x) (+ 1 x))
4.0ms	y	@	0	((* (/ (+ (/ x y) 1) (+ 1 x)) x) (/ (+ (/ x y) 1) (+ 1 x)) (+ (/ x y) 1) (/ x y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (- (/ x y) x) x) x) (- x (* x x)) (* x x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ (* y x) y)) x) (/ x (+ (* y x) y)) (/ (+ (* (/ x y) x) x) (+ x 1)) (/ (* x x) (+ (* y x) y)) (+ (* y x) y) (/ (+ (* (- x (* x x)) y) (* x x)) y) (+ (* (- x (* x x)) y) (* x x)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (- (/ x y) x) x) x) (+ 1 x))
2.0ms	y	@	inf	((* (/ (+ (/ x y) 1) (+ 1 x)) x) (/ (+ (/ x y) 1) (+ 1 x)) (+ (/ x y) 1) (/ x y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (- (/ x y) x) x) x) (- x (* x x)) (* x x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ (* y x) y)) x) (/ x (+ (* y x) y)) (/ (+ (* (/ x y) x) x) (+ x 1)) (/ (* x x) (+ (* y x) y)) (+ (* y x) y) (/ (+ (* (- x (* x x)) y) (* x x)) y) (+ (* (- x (* x x)) y) (* x x)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (- (/ x y) x) x) x) (+ 1 x))
2.0ms	x	@	-inf	((* (/ (+ (/ x y) 1) (+ 1 x)) x) (/ (+ (/ x y) 1) (+ 1 x)) (+ (/ x y) 1) (/ x y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (- (/ x y) x) x) x) (- x (* x x)) (* x x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ (* y x) y)) x) (/ x (+ (* y x) y)) (/ (+ (* (/ x y) x) x) (+ x 1)) (/ (* x x) (+ (* y x) y)) (+ (* y x) y) (/ (+ (* (- x (* x x)) y) (* x x)) y) (+ (* (- x (* x x)) y) (* x x)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (- (/ x y) x) x) x) (+ 1 x))
2.0ms	x	@	inf	((* (/ (+ (/ x y) 1) (+ 1 x)) x) (/ (+ (/ x y) 1) (+ 1 x)) (+ (/ x y) 1) (/ x y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (- (/ x y) x) x) x) (- x (* x x)) (* x x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ (* y x) y)) x) (/ x (+ (* y x) y)) (/ (+ (* (/ x y) x) x) (+ x 1)) (/ (* x x) (+ (* y x) y)) (+ (* y x) y) (/ (+ (* (- x (* x x)) y) (* x x)) y) (+ (* (- x (* x x)) y) (* x x)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (- (/ x y) x) x) x) (+ 1 x))

simplify160.0ms (2.2%)

Memory

5.2MiB live, 196.6MiB allocated

Algorithm

1×	egg-herbie

Rules

15 392×	`lower-fma.f64`
15 392×	`lower-fma.f32`
3 464×	`lower-*.f64`
3 464×	`lower-*.f32`
2 800×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	227	4463
1	697	4198
2	1966	3666
3	6615	3608
0	8242	3402

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 408

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

rewrite195.0ms (2.7%)

Memory

7.1MiB live, 244.8MiB allocated

Rules

5 592×	`lower-fma.f32`
5 588×	`lower-fma.f64`
5 338×	`lower-/.f32`
5 330×	`lower-/.f64`
4 096×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	237
0	51	237
1	217	237
2	1537	237
0	8345	228

Stop Event

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

Counts

19 → 425

Calls

Call 1

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

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

eval250.0ms (3.5%)

Memory: -94.8MiB live, 246.2MiB allocated
Compiler: Compiled 18 578 to 1 533 computations (91.7% saved)

prune37.0ms (0.5%)

Memory

3.8MiB live, 88.8MiB allocated

Pruning

21 alts after pruning (16 fresh and 5 done)

	Pruned	Kept	Total
New	981	12	993
Fresh	8	4	12
Picked	3	2	5
Done	0	3	3
Total	992	21	1 013

Accuracy

100.0%

Counts

1 013 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	88.5%	(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64)))
	80.8%	(/.f64 #s(approx (* x (+ (/ x y) 1)) (*.f64 (/.f64 x y) (+.f64 y x))) (+.f64 x #s(literal 1 binary64)))
▶	43.3%	(/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (/.f64 (fma.f64 y x y) x)))
	53.2%	(/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (+.f64 #s(literal 1 binary64) x)))
	53.2%	(*.f64 (/.f64 #s(approx (+ (/ x y) 1) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) x)
▶	34.7%	(*.f64 #s(approx (/ (+ (/ x y) 1) (+ 1 x)) (/.f64 #s(literal 1 binary64) y)) x)
▶	43.0%	(*.f64 #s(approx (/ (+ (/ x y) 1) (+ 1 x)) #s(literal 1 binary64)) x)
▶	43.9%	#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (fma.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
▶	88.3%	#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (/.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (+.f64 y x)) y))
	32.3%	#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (/.f64 (.f64 x x) (+.f64 (.f64 y x) y)))
	48.5%	#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 x y)))
	33.8%	#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (/ (* x x) (+ (* y x) y)) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64)))))
	61.2%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x))
✓	34.8%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))
✓	43.2%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x))
✓	21.6%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 #s(approx (/ x (+ ( y x) y)) (/.f64 x y)) x))
	21.6%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 #s(approx (/ x (+ ( y x) y)) (*.f64 (/.f64 #s(literal 1 binary64) y) x)) x))
	18.2%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (- (/ x y) x) x) x) (/.f64 #s(approx (+ (* (- x (* x x)) y) (* x x)) (*.f64 x x)) y)))
✓	47.0%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (- (/ x y) x) x) x) (-.f64 x (*.f64 x x))))
	61.2%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (- (/ x y) x) x) x) (*.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) x y) y) x)))
	8.3%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (- (/ x y) x) x) x) #s(approx (- x (* x x)) (*.f64 (neg.f64 x) x))))

Compiler

Compiled 389 to 205 computations (47.3% saved)

simplify164.0ms (2.3%)

Memory

-12.9MiB live, 148.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 y x y)
cost-diff	0	#s(approx (/ (+ 1 x) (+ 1 (/ x y))) (/.f64 (fma.f64 y x y) x))
cost-diff	0	(/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (/.f64 (fma.f64 y x y) x)))
cost-diff	192	(/.f64 (fma.f64 y x y) x)
cost-diff	0	(-.f64 x #s(literal 1 binary64))
cost-diff	0	(/.f64 #s(literal 1 binary64) y)
cost-diff	0	#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (fma.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
cost-diff	192	(fma.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
cost-diff	0	(/.f64 #s(literal 1 binary64) y)
cost-diff	0	#s(approx (/ (+ (/ x y) 1) (+ 1 x)) (/.f64 #s(literal 1 binary64) y))
cost-diff	0	(*.f64 #s(approx (/ (+ (/ x y) 1) (+ 1 x)) (/.f64 #s(literal 1 binary64) y)) x)
cost-diff	0	#s(approx (/ (+ (/ x y) 1) (+ 1 x)) #s(literal 1 binary64))
cost-diff	0	(*.f64 #s(approx (/ (+ (/ x y) 1) (+ 1 x)) #s(literal 1 binary64)) x)
cost-diff	0	(/.f64 x (-.f64 x #s(literal -1 binary64)))
cost-diff	0	(*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (+.f64 y x))
cost-diff	0	#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (/.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (+.f64 y x)) y))
cost-diff	512	(/.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (+.f64 y x)) y)

Rules

13 822×	`lower-fma.f32`
13 818×	`lower-fma.f64`
5 396×	`lower-*.f32`
5 390×	`lower-*.f64`
1 390×	`distribute-lft-neg-in`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	32	200
0	47	200
1	80	198
2	120	196
3	193	196
4	334	196
5	697	187
6	1132	187
7	2773	187
8	6282	187
0	8621	187

Stop Event

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

Calls

Call 1

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

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

localize76.0ms (1.1%)

Memory

-3.0MiB live, 109.8MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 y x y)
accuracy	0.05078125	(/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (/.f64 (fma.f64 y x y) x)))
accuracy	6.396042559288819	(/.f64 (fma.f64 y x y) x)
accuracy	33.72469225385772	#s(approx (/ (+ 1 x) (+ 1 (/ x y))) (/.f64 (fma.f64 y x y) x))
accuracy	0	(/.f64 #s(literal 1 binary64) y)
accuracy	0	(-.f64 x #s(literal 1 binary64))
accuracy	0.09375	(fma.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy	35.826759898598	#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (fma.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
accuracy	0	(/.f64 #s(literal 1 binary64) y)
accuracy	0.11328125	(*.f64 #s(approx (/ (+ (/ x y) 1) (+ 1 x)) (/.f64 #s(literal 1 binary64) y)) x)
accuracy	42.02018119125145	#s(approx (/ (+ (/ x y) 1) (+ 1 x)) (/.f64 #s(literal 1 binary64) y))
accuracy	0.11328125	(*.f64 #s(approx (/ (+ (/ x y) 1) (+ 1 x)) #s(literal 1 binary64)) x)
accuracy	36.4806866228809	#s(approx (/ (+ (/ x y) 1) (+ 1 x)) #s(literal 1 binary64))
accuracy	0	#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (/.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (+.f64 y x)) y))
accuracy	0.0078125	(/.f64 x (-.f64 x #s(literal -1 binary64)))
accuracy	0.02734375	(*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (+.f64 y x))
accuracy	7.51994009394154	(/.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (+.f64 y x)) y)

Samples

56.0ms

256×

valid

Compiler

Compiled 158 to 30 computations (81% saved)

Precisions

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

ival-div: 15.0ms (43.3% of total)

ival-add: 9.0ms (26% of total)

ival-mult: 8.0ms (23.1% of total)

ival-sub: 2.0ms (5.8% of total)

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

exact: 0.0ms (0% of total)

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

series27.0ms (0.4%)

Memory

-5.9MiB live, 39.6MiB allocated

Counts

16 → 348

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	y	@	-inf	((/ (* (/ x (- x -1)) (+ y x)) y) (/ (+ (* (/ x y) x) x) (+ x 1)) (* (/ x (- x -1)) (+ y x)) (/ x (- x -1)) (* (/ (+ (/ x y) 1) (+ 1 x)) x) (/ (+ (/ x y) 1) (+ 1 x)) (* (/ (+ (/ x y) 1) (+ 1 x)) x) (/ (+ (/ x y) 1) (+ 1 x)) (/ 1 y) (+ (* (/ 1 y) (- x 1)) 1) (/ (+ (* (/ x y) x) x) (+ x 1)) (- x 1) (/ (+ (* y x) y) x) (/ x (/ (+ 1 x) (+ 1 (/ x y)))) (/ (+ 1 x) (+ 1 (/ x y))) (+ (* y x) y))
2.0ms	y	@	inf	((/ (* (/ x (- x -1)) (+ y x)) y) (/ (+ (* (/ x y) x) x) (+ x 1)) (* (/ x (- x -1)) (+ y x)) (/ x (- x -1)) (* (/ (+ (/ x y) 1) (+ 1 x)) x) (/ (+ (/ x y) 1) (+ 1 x)) (* (/ (+ (/ x y) 1) (+ 1 x)) x) (/ (+ (/ x y) 1) (+ 1 x)) (/ 1 y) (+ (* (/ 1 y) (- x 1)) 1) (/ (+ (* (/ x y) x) x) (+ x 1)) (- x 1) (/ (+ (* y x) y) x) (/ x (/ (+ 1 x) (+ 1 (/ x y)))) (/ (+ 1 x) (+ 1 (/ x y))) (+ (* y x) y))
2.0ms	y	@	0	((/ (* (/ x (- x -1)) (+ y x)) y) (/ (+ (* (/ x y) x) x) (+ x 1)) (* (/ x (- x -1)) (+ y x)) (/ x (- x -1)) (* (/ (+ (/ x y) 1) (+ 1 x)) x) (/ (+ (/ x y) 1) (+ 1 x)) (* (/ (+ (/ x y) 1) (+ 1 x)) x) (/ (+ (/ x y) 1) (+ 1 x)) (/ 1 y) (+ (* (/ 1 y) (- x 1)) 1) (/ (+ (* (/ x y) x) x) (+ x 1)) (- x 1) (/ (+ (* y x) y) x) (/ x (/ (+ 1 x) (+ 1 (/ x y)))) (/ (+ 1 x) (+ 1 (/ x y))) (+ (* y x) y))
2.0ms	x	@	-inf	((/ (* (/ x (- x -1)) (+ y x)) y) (/ (+ (* (/ x y) x) x) (+ x 1)) (* (/ x (- x -1)) (+ y x)) (/ x (- x -1)) (* (/ (+ (/ x y) 1) (+ 1 x)) x) (/ (+ (/ x y) 1) (+ 1 x)) (* (/ (+ (/ x y) 1) (+ 1 x)) x) (/ (+ (/ x y) 1) (+ 1 x)) (/ 1 y) (+ (* (/ 1 y) (- x 1)) 1) (/ (+ (* (/ x y) x) x) (+ x 1)) (- x 1) (/ (+ (* y x) y) x) (/ x (/ (+ 1 x) (+ 1 (/ x y)))) (/ (+ 1 x) (+ 1 (/ x y))) (+ (* y x) y))
1.0ms	x	@	inf	((/ (* (/ x (- x -1)) (+ y x)) y) (/ (+ (* (/ x y) x) x) (+ x 1)) (* (/ x (- x -1)) (+ y x)) (/ x (- x -1)) (* (/ (+ (/ x y) 1) (+ 1 x)) x) (/ (+ (/ x y) 1) (+ 1 x)) (* (/ (+ (/ x y) 1) (+ 1 x)) x) (/ (+ (/ x y) 1) (+ 1 x)) (/ 1 y) (+ (* (/ 1 y) (- x 1)) 1) (/ (+ (* (/ x y) x) x) (+ x 1)) (- x 1) (/ (+ (* y x) y) x) (/ x (/ (+ 1 x) (+ 1 (/ x y)))) (/ (+ 1 x) (+ 1 (/ x y))) (+ (* y x) y))

simplify164.0ms (2.3%)

Memory

19.2MiB live, 210.0MiB allocated

Algorithm

1×	egg-herbie

Rules

11 646×	`lower-fma.f64`
11 646×	`lower-fma.f32`
6 374×	`lower-+.f64`
6 374×	`lower-+.f32`
3 856×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	353	4445
1	1125	4256
2	3410	3780
0	8277	3618

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 332

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

rewrite159.0ms (2.2%)

Memory

4.1MiB live, 229.7MiB allocated

Rules

5 758×	`lower-/.f32`
5 748×	`lower-/.f64`
4 880×	`lower-*.f32`
4 874×	`lower-*.f64`
2 608×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	178
0	47	178
1	232	174
2	1852	174
0	8198	172

Stop Event

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

Counts

16 → 524

Calls

Call 1

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

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

eval212.0ms (3%)

Memory: 5.2MiB live, 216.8MiB allocated
Compiler: Compiled 16 044 to 1 802 computations (88.8% saved)

prune32.0ms (0.4%)

Memory

14.8MiB live, 88.5MiB allocated

Pruning

18 alts after pruning (13 fresh and 5 done)

	Pruned	Kept	Total
New	877	6	883
Fresh	4	7	11
Picked	4	1	5
Done	1	4	5
Total	886	18	904

Accuracy

100.0%

Counts

904 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.2%	(/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (+.f64 #s(literal 1 binary64) x)))
	21.6%	(/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) #s(approx (/ (+ (* y x) y) x) (/.f64 y x))))
	53.2%	(*.f64 (/.f64 #s(approx (+ (/ x y) 1) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) x)
✓	43.0%	(*.f64 #s(approx (/ (+ (/ x y) 1) (+ 1 x)) #s(literal 1 binary64)) x)
	32.3%	#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (/.f64 (.f64 x x) (+.f64 (.f64 y x) y)))
	45.1%	#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (/.f64 #s(approx (* (/ x (- x -1)) (+ y x)) (*.f64 x (/.f64 x (+.f64 #s(literal 1 binary64) x)))) y))
	44.0%	#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64)))
	81.8%	#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (*.f64 (+.f64 y x) (/.f64 x (fma.f64 y x y))))
	34.0%	#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (+ (* (/ 1 y) (- x 1)) 1) (/.f64 (-.f64 x #s(literal 1 binary64)) y)))
	12.6%	#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (+ (* (/ 1 y) (- x 1)) 1) #s(literal 1 binary64)))
	61.2%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x))
✓	34.8%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))
✓	43.2%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x))
✓	21.6%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 #s(approx (/ x (+ ( y x) y)) (/.f64 x y)) x))
	21.6%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 #s(approx (/ x (+ ( y x) y)) (*.f64 (/.f64 #s(literal 1 binary64) y) x)) x))
	18.2%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (- (/ x y) x) x) x) (/.f64 #s(approx (+ (* (- x (* x x)) y) (* x x)) (*.f64 x x)) y)))
✓	47.0%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (- (/ x y) x) x) x) (-.f64 x (*.f64 x x))))
	8.3%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (- (/ x y) x) x) x) #s(approx (- x (* x x)) (*.f64 (neg.f64 x) x))))

Compiler

Compiled 584 to 170 computations (70.9% saved)

regimes46.0ms (0.6%)

Memory

-28.5MiB live, 58.7MiB allocated

Counts

46 → 1

Calls

Call 1

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

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

Calls

3 calls:

17.0ms	x
14.0ms	(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
13.0ms	y

Results

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

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes63.0ms (0.9%)

Memory

-10.4MiB live, 63.6MiB allocated

Counts

45 → 1

Calls

Call 1

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

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

Calls

3 calls:

21.0ms	y
13.0ms	x
12.0ms	(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))

Results

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

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes63.0ms (0.9%)

Memory

18.5MiB live, 54.1MiB allocated

Counts

40 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

38.0ms	x
12.0ms	y
11.0ms	(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
99.9%	3	`x`
99.8%	3	`y`
99.9%	3	`(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))`

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes45.0ms (0.6%)

Memory

-18.5MiB live, 28.9MiB allocated

Counts

37 → 3

Calls

Call 1

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

Outputs

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

Calls

2 calls:

11.0ms	x
10.0ms	(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))

Results

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

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes40.0ms (0.6%)

Memory

6.9MiB live, 77.3MiB allocated

Counts

36 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

14.0ms	x
11.0ms	y
10.0ms	(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
94.1%	3	`y`
97.9%	3	`x`
98.7%	4	`(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))`

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes10.0ms (0.1%)

Memory

28.5MiB live, 28.5MiB allocated

Counts

27 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
97.9%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes30.0ms (0.4%)

Memory

-21.6MiB live, 13.5MiB allocated

Counts

18 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
97.6%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes61.0ms (0.9%)

Memory

-23.1MiB live, 38.9MiB allocated

Counts

15 → 4

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
73.8%	4	`y`
91.6%	4	`(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))`
89.9%	4	`x`

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes11.0ms (0.1%)

Memory

6.2MiB live, 6.2MiB allocated

Counts

14 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
76.6%	3	`x`
83.9%	3	`(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))`

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes4.0ms (0.1%)

Memory

2.5MiB live, 2.5MiB allocated

Counts

8 → 3

Calls

Call 1

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

3.0ms

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

Results

Accuracy	Segments	Branch
83.8%	3	`(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes4.0ms (0.1%)

Memory

2.4MiB live, 2.4MiB allocated

Counts

7 → 4

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
82.7%	4	`(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes9.0ms (0.1%)

Memory

7.8MiB live, 7.8MiB allocated

Counts

5 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
48.7%	2	`y`
54.4%	4	`x`
57.2%	2	`(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))`

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes2.0ms (0%)

Memory

4.2MiB live, 4.2MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
57.0%	3	`(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes2.0ms (0%)

Memory

3.9MiB live, 3.9MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
52.4%	2	`(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes4.0ms (0.1%)

Memory

8.5MiB live, 8.5MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
12.6%	1	`y`
12.6%	1	`x`
12.6%	1	`(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))`

Compiler

Compiled 19 to 12 computations (36.8% saved)

bsearch35.0ms (0.5%)

Memory

-31.0MiB live, 8.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	predicate-same

Steps

Time	Left	Right
31.0ms	2.5096614073268915e-50	1.3407721701122589e-49
3.0ms	-1.435119198759438e-14	-5.404897565429952e-21

Samples

4.0ms

80×

valid

Compiler

Compiled 166 to 98 computations (41% saved)

Precisions

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

ival-div: 1.0ms (38.4% of total)

ival-add: 1.0ms (38.4% of total)

ival-mult: 1.0ms (38.4% 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

15.4MiB live, 15.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
13.0ms	19831791.424831882	5715432156981.997
6.0ms	-2.1091574856021211e+55	-4.953352345039947e+42

Samples

11.0ms

208×

valid

Compiler

Compiled 328 to 208 computations (36.6% saved)

Precisions

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

ival-div: 3.0ms (46% of total)

ival-add: 2.0ms (30.7% of total)

ival-mult: 1.0ms (15.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch46.0ms (0.6%)

Memory

-1.1MiB live, 34.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
30.0ms	3.5659384824730294e-9	0.9176297848499774
13.0ms	-14.392392526670022	-2.3621287879833996e-8

Samples

32.0ms

288×

valid

Compiler

Compiled 484 to 283 computations (41.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-add: 20.0ms (76.1% of total)

ival-div: 4.0ms (15.2% of total)

ival-mult: 2.0ms (7.6% 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

2.9MiB live, 2.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.5659384824730294e-9	0.9176297848499774
1.0ms	-14.392392526670022	-2.3621287879833996e-8

Compiler

Compiled 430 to 247 computations (42.6% saved)

bsearch9.0ms (0.1%)

Memory

11.5MiB live, 11.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
7.0ms	0.9176297848499774	2.2658285902706052
1.0ms	-14.392392526670022	-2.3621287879833996e-8

Samples

4.0ms

80×

valid

Compiler

Compiled 324 to 181 computations (44.1% saved)

Precisions

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

ival-div: 1.0ms (40.7% of total)

ival-add: 1.0ms (40.7% 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)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.8165337999331441	26.67608548031153
0.0ms	1.8623645171946972e-81	5.8147879068877244e-77
0.0ms	-1.1697694450729698e+50	-2.584036152434098e+45

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.8165337999331441	26.67608548031153
0.0ms	-60190093961.08688	-2.3621288437799252e-8

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.8165337999331441	26.67608548031153
0.0ms	-60190093961.08688	-2.3621288437799252e-8

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	26.67608548031153	567.8722002386444
0.0ms	3.5659384697571123e-9	0.47852290994831764
0.0ms	-60190093961.08688	-2.3621288437799252e-8

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.5659384697571123e-9	0.47852290994831764

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.47852290994831764	1.0
0.0ms	-60190093961.08688	-2.3621288437799252e-8

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.47852290994831764	1.0

Compiler

Compiled 16 to 13 computations (18.8% saved)

simplify32.0ms (0.4%)

Memory

-8.1MiB live, 26.9MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	122	1020
1	146	1020
2	158	1020
3	168	1020
4	170	1020

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) x)
(if (<=.f64 x #s(literal -6490371073168535/1298074214633706907132624082305024 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)) (if (<=.f64 x #s(literal 5265614583427859/52656145834278593348959013841835216159447547700274555627155488768 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (- (/ x y) x) x) x) (.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) x y) y) x))) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y))))
(if (<=.f64 x #s(literal -100000000000000008821361405306422640701865984 binary64)) #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 2450000000000 binary64)) (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 8106479329266893/9007199254740992 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (- (/ x y) x) x) x) (.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) x y) y) x))) #s(approx (/ (+ ( (/ x y) x) x) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 8106479329266893/9007199254740992 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x)) #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 5854679515581645/4503599627370496 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x)) #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -100000000000000007629769841091887003294964970946560 binary64)) #s(approx (/ (+ ( (/ x y) x) x) (+ x 1)) #s(approx (+ (* (/ 1 y) (- x 1)) 1) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 1067993517960455/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x)) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 2 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 -50000000000 binary64)) #s(approx (/ (+ ( (/ x y) x) x) (+ x 1)) #s(approx (+ (* (/ 1 y) (- x 1)) 1) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 2 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 -50000000000 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #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 -50000000000 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 3022314549036573/604462909807314587353088 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (- (/ x y) x) x) x) (-.f64 x (.f64 x x)))) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 50 binary64)) #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (+ (* (/ 1 y) (- x 1)) 1) #s(literal 1 binary64))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)))))
(if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (- (/ x y) x) x) x) (-.f64 x (.f64 x x)))) #s(approx (/ (+ ( (/ x y) x) x) (+ x 1)) #s(approx (+ (* (/ 1 y) (- x 1)) 1) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -50000000000 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (- (/ x y) x) x) x) #s(approx (- x (* x x)) (.f64 (neg.f64 x) x)))) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64)) (.f64 #s(approx (/ (+ (/ x y) 1) (+ 1 x)) #s(literal 1 binary64)) x) #s(approx (/ (+ ( (/ x y) x) x) (+ x 1)) #s(approx (+ (* (/ 1 y) (- x 1)) 1) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64)) (.f64 #s(approx (/ (+ (/ x y) 1) (+ 1 x)) #s(literal 1 binary64)) x) #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (+ (* (/ 1 y) (- x 1)) 1) #s(literal 1 binary64))))
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (+ (* (/ 1 y) (- x 1)) 1) #s(literal 1 binary64)))

Outputs
(/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 x y) #s(literal 1 binary64))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) x)
(*.f64 (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) x)
(if (<=.f64 x #s(literal -6490371073168535/1298074214633706907132624082305024 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)) (if (<=.f64 x #s(literal 5265614583427859/52656145834278593348959013841835216159447547700274555627155488768 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (- (/ x y) x) x) x) (.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) x y) y) x))) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y))))
(if (<=.f64 x #s(literal -6490371073168535/1298074214633706907132624082305024 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (.f64 (+.f64 y x) (/.f64 x (+.f64 #s(literal 1 binary64) x))) y)) (if (<=.f64 x #s(literal 5265614583427859/52656145834278593348959013841835216159447547700274555627155488768 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (- (/ x y) x) x) x) (.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) x y) y) x))) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (+.f64 y x) (/.f64 x (+.f64 #s(literal 1 binary64) x))) y))))
(if (<=.f64 x #s(literal -100000000000000008821361405306422640701865984 binary64)) #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 2450000000000 binary64)) (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -100000000000000008821361405306422640701865984 binary64)) #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 2450000000000 binary64)) (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 #s(literal 1 binary64) x)) #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 8106479329266893/9007199254740992 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (- (/ x y) x) x) x) (.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) x y) y) x))) #s(approx (/ (+ ( (/ x y) x) x) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 8106479329266893/9007199254740992 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x)) #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 5854679515581645/4503599627370496 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x)) #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -100000000000000007629769841091887003294964970946560 binary64)) #s(approx (/ (+ ( (/ x y) x) x) (+ x 1)) #s(approx (+ (* (/ 1 y) (- x 1)) 1) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 1067993517960455/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x)) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 2 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 -100000000000000007629769841091887003294964970946560 binary64)) #s(approx (/ (+ ( (/ x y) x) x) (+ x 1)) #s(approx (+ (* (/ 1 y) (- x 1)) 1) (/.f64 (-.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 1067993517960455/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x)) (if (<=.f64 (/.f64 (.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 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 -50000000000 binary64)) #s(approx (/ (+ ( (/ x y) x) x) (+ x 1)) #s(approx (+ (* (/ 1 y) (- x 1)) 1) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 2 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 -50000000000 binary64)) #s(approx (/ (+ ( (/ x y) x) x) (+ x 1)) #s(approx (+ (* (/ 1 y) (- x 1)) 1) (/.f64 (-.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 2 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 -50000000000 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #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 -50000000000 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 2 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 -50000000000 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 3022314549036573/604462909807314587353088 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (- (/ x y) x) x) x) (-.f64 x (.f64 x x)))) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 50 binary64)) #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (+ (* (/ 1 y) (- x 1)) 1) #s(literal 1 binary64))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)))))
(if (<=.f64 (/.f64 (.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) x) (+.f64 #s(literal 1 binary64) x)) #s(literal -50000000000 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 3022314549036573/604462909807314587353088 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (- (/ x y) x) x) x) (-.f64 x (.f64 x x)))) (if (<=.f64 (/.f64 (.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 50 binary64)) #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (+ (* (/ 1 y) (- x 1)) 1) #s(literal 1 binary64))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)))))
(if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (- (/ x y) x) x) x) (-.f64 x (.f64 x x)))) #s(approx (/ (+ ( (/ x y) x) x) (+ x 1)) #s(approx (+ (* (/ 1 y) (- x 1)) 1) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (- (/ x y) x) x) x) (-.f64 x (.f64 x x)))) #s(approx (/ (+ ( (/ x y) x) x) (+ x 1)) #s(approx (+ (* (/ 1 y) (- x 1)) 1) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -50000000000 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (- (/ x y) x) x) x) #s(approx (- x (* x x)) (.f64 (neg.f64 x) x)))) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64)) (.f64 #s(approx (/ (+ (/ x y) 1) (+ 1 x)) #s(literal 1 binary64)) x) #s(approx (/ (+ ( (/ x y) x) x) (+ x 1)) #s(approx (+ (* (/ 1 y) (- x 1)) 1) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) x) (+.f64 #s(literal 1 binary64) x)) #s(literal -50000000000 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (- (/ x y) x) x) x) #s(approx (- x (* x x)) (.f64 (neg.f64 x) x)))) (if (<=.f64 (/.f64 (.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (.f64 #s(approx (/ (+ (/ x y) 1) (+ 1 x)) #s(literal 1 binary64)) x) #s(approx (/ (+ ( (/ x y) x) x) (+ x 1)) #s(approx (+ (* (/ 1 y) (- x 1)) 1) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64)) (.f64 #s(approx (/ (+ (/ x y) 1) (+ 1 x)) #s(literal 1 binary64)) x) #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (+ (* (/ 1 y) (- x 1)) 1) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (.f64 #s(approx (/ (+ (/ x y) 1) (+ 1 x)) #s(literal 1 binary64)) x) #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (+ (* (/ 1 y) (- x 1)) 1) #s(literal 1 binary64))))
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (+ (* (/ 1 y) (- x 1)) 1) #s(literal 1 binary64)))

soundness1.8s (25.2%)

Memory

21.4MiB live, 1 262.4MiB allocated

Rules

21 530×	`lower-fma.f64`
21 530×	`lower-fma.f32`
15 392×	`lower-fma.f64`
15 392×	`lower-fma.f32`
12 174×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	315	3832
1	1004	3628
2	2957	3244
0	8185	3082
0	90	745
1	250	724
2	660	648
3	3420	635
0	9161	612
0	32	178
0	47	178
1	232	174
2	1852	174
0	8198	172
0	24	136
0	40	134
1	187	132
2	1396	132
0	8293	132
0	353	4445
1	1125	4256
2	3410	3780
0	8277	3618
0	8	29
0	13	29
1	62	29
2	454	29
3	7068	29
0	8044	27
0	227	4463
1	697	4198
2	1966	3666
3	6615	3608
0	8242	3402

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

Compiler

Compiled 1 423 to 531 computations (62.7% saved)

preprocess158.0ms (2.2%)

Memory: -1.1MiB live, 183.1MiB allocated
Compiler: Compiled 1 070 to 196 computations (81.7% 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%)

analyze63.0ms (0.9%)

sample959.0ms (13.4%)

explain158.0ms (2.2%)

preprocess185.0ms (2.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify13.0ms (0.2%)

localize20.0ms (0.3%)

series50.0ms (0.7%)

simplify335.0ms (4.7%)

rewrite225.0ms (3.1%)

eval54.0ms (0.8%)

prune61.0ms (0.8%)

simplify120.0ms (1.7%)

localize74.0ms (1%)

series28.0ms (0.4%)

simplify162.0ms (2.3%)

rewrite193.0ms (2.7%)

eval147.0ms (2.1%)

prune35.0ms (0.5%)

simplify189.0ms (2.6%)

localize86.0ms (1.2%)

series31.0ms (0.4%)

simplify160.0ms (2.2%)

rewrite195.0ms (2.7%)

eval250.0ms (3.5%)

prune37.0ms (0.5%)

simplify164.0ms (2.3%)

localize76.0ms (1.1%)

series27.0ms (0.4%)

simplify164.0ms (2.3%)

rewrite159.0ms (2.2%)

eval212.0ms (3%)

prune32.0ms (0.4%)

regimes46.0ms (0.6%)

regimes63.0ms (0.9%)

regimes63.0ms (0.9%)

regimes45.0ms (0.6%)

regimes40.0ms (0.6%)

regimes10.0ms (0.1%)

regimes30.0ms (0.4%)

regimes61.0ms (0.9%)

regimes11.0ms (0.1%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

regimes9.0ms (0.1%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes4.0ms (0.1%)

bsearch35.0ms (0.5%)

bsearch21.0ms (0.3%)

bsearch46.0ms (0.6%)

bsearch2.0ms (0%)

bsearch9.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify32.0ms (0.4%)

soundness1.8s (25.2%)

preprocess158.0ms (2.2%)

end0.0ms (0%)

Profiling

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