Metrics for Numeric.SpecFunctions:incompleteBetaApprox from math-functions-0.1.5.2, A

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze36.0ms (0.3%)

Memory

-16.3MiB live, 61.7MiB 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
62.5%	62.4%	37.5%	0.1%	0%	0%	0%	6
71.9%	71.8%	28.1%	0.1%	0%	0%	0%	7
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	8
83.6%	83.5%	16.4%	0.1%	0%	0%	0%	9
87.1%	87%	12.9%	0.1%	0%	0%	0%	10
91.2%	91.1%	8.8%	0.1%	0%	0%	0%	11
93.3%	93.2%	6.7%	0.1%	0%	0%	0%	12

Compiler

Compiled 19 to 11 computations (42.1% saved)

sample783.0ms (7.7%)

Memory

21.2MiB live, 1 046.6MiB allocated

Samples

513.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 346.0ms

ival-mult: 196.0ms (56.7% of total)

ival-add: 83.0ms (24% of total)

ival-div: 53.0ms (15.3% of total)

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

exact: 5.0ms (1.4% of total)

ival-assert: 3.0ms (0.9% of total)

Bogosity

explain107.0ms (1%)

Memory

-20.0MiB live, 179.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
82	3	(-85.73429979206755 -2.002976569924832e+162)	1	(-1.1932474114987082e-60 1.3990420480935701e-260)	`(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(+.f64 (+.f64 x y) #s(literal 1 binary64))`
0	0	-	0	-	`(*.f64 x y)`
0	0	-	0	-	`y`
0	0	-	0	-	`(+.f64 x y)`
0	0	-	0	-	`(*.f64 (+.f64 x y) (+.f64 x y))`
0	0	-	0	-	`(.f64 (.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))`	o/o	37	0
↳	`(*.f64 x y)`	overflow	37
↳	`(.f64 (.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))`	overflow	134
↳	`(*.f64 (+.f64 x y) (+.f64 x y))`	overflow	108
`/.f64`	`(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))`	n/o	21	0
↳	`(.f64 (.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))`	overflow	134
↳	`(*.f64 (+.f64 x y) (+.f64 x y))`	overflow	108
`/.f64`	`(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))`	u/n	15	0
↳	`(*.f64 x y)`	underflow	26
`/.f64`	`(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))`	u/u	11	0
↳	`(*.f64 x y)`	underflow	26
↳	`(.f64 (.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))`	underflow	11
↳	`(*.f64 (+.f64 x y) (+.f64 x y))`	underflow	11

Confusion

	Predicted +	Predicted -
+	81	1
-	3	171

Precision

0.9642857142857143

Recall

0.9878048780487805

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	81	0	1
-	3	0	171

Precision?

0.9642857142857143

Recall?

0.9878048780487805

Freqs

test

number	freq
0	172
1	84

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

34.0ms

512×

valid

Compiler

Compiled 123 to 31 computations (74.8% saved)

Precisions

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

ival-mult: 9.0ms (44.7% of total)

ival-add: 7.0ms (34.8% of total)

ival-div: 3.0ms (14.9% of total)

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

exact: 0.0ms (0% of total)

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

preprocess449.0ms (4.4%)

Memory

43.5MiB live, 374.9MiB allocated

Algorithm

1×	egg-herbie

Rules

33 688×	`lower-fma.f64`
33 688×	`lower-fma.f32`
8 042×	`lower-+.f32`
8 038×	`lower-+.f64`
4 368×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	97
1	129	87
2	718	85
3	4217	85
0	9	17
0	15	17
1	44	17
2	168	17
3	544	17
4	2286	17
5	3087	17
6	3462	17
7	3548	17
8	3577	17
9	3617	17
10	7692	17
11	7814	17
12	7833	17
13	7834	17
14	7834	17
15	7849	17
16	7849	17
17	7849	17
0	9415	16

Stop Event

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

Calls

Call 1

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

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

Symmetry

(sort x y)

Compiler

Compiled 17 to 9 computations (47.1% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	68.8%	(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))

Compiler

Compiled 17 to 9 computations (47.1% saved)

simplify325.0ms (3.2%)

Memory

-0.6MiB live, 317.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

33 688×	`lower-fma.f64`
33 688×	`lower-fma.f32`
8 042×	`lower-+.f32`
8 038×	`lower-+.f64`
4 368×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	51
0	15	51
1	44	51
2	168	51
3	544	51
4	2286	51
5	3087	51
6	3462	51
7	3548	51
8	3577	51
9	3617	51
10	7692	51
11	7814	51
12	7833	51
13	7834	51
14	7834	51
15	7849	51
16	7849	51
17	7849	51
0	9415	49

Stop Event

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

Calls

Call 1

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

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

localize28.0ms (0.3%)

Memory

5.1MiB live, 48.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x y)
accuracy	0.0078125	(*.f64 (+.f64 x y) (+.f64 x y))
accuracy	0.0625	(.f64 (.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))
accuracy	19.755678404692258	(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))

Samples

21.0ms

256×

valid

Compiler

Compiled 53 to 11 computations (79.2% saved)

Precisions

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

ival-mult: 10.0ms (69.8% of total)

ival-add: 3.0ms (20.9% of total)

ival-div: 2.0ms (14% of total)

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

exact: 0.0ms (0% of total)

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

series19.0ms (0.2%)

Memory

-5.4MiB live, 33.4MiB allocated

Counts

5 → 120

Calls

Call 1

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

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

Calls

6 calls:

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

simplify308.0ms (3%)

Memory

-33.1MiB live, 265.7MiB allocated

Algorithm

1×	egg-herbie

Rules

9 846×	`lower-fma.f64`
9 846×	`lower-fma.f32`
5 970×	`lower-*.f64`
5 970×	`lower-*.f32`
4 046×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	422	2494
1	1483	2406
2	6308	2382
0	8318	2161

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 114

Calls

Call 1

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

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

rewrite529.0ms (5.2%)

Memory

41.0MiB live, 270.4MiB allocated

Rules

7 780×	`lower-fma.f64`
7 780×	`lower-fma.f32`
5 558×	`lower-*.f32`
5 552×	`lower-*.f64`
4 498×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	43
0	15	37
1	76	37
2	666	37
0	8864	37

Stop Event

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

Counts

5 → 818

Calls

Call 1

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

Outputs
(.f64 (.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 y x))) y) x)
(.f64 (.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 y x))) x) y)
(.f64 (.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) x) (pow.f64 (+.f64 y x) #s(literal -2 binary64)))
(.f64 (.f64 (/.f64 x (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (/.f64 y (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (-.f64 (+.f64 y x) #s(literal 1 binary64)))
(.f64 (.f64 (/.f64 x (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (/.f64 y (+.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (-.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) y) x))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (/.f64 x (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (-.f64 (+.f64 y x) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (/.f64 x (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (+.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (-.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) y) x))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (/.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y x))))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y x)))) (/.f64 y (pow.f64 (+.f64 y x) #s(literal 2 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y x))) (/.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 x (+.f64 y x))) (/.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) y)) (neg.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 y x)))))
(.f64 (pow.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) x) (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) y)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) x) (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) y)) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y x))) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))
(.f64 (.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (pow.f64 (+.f64 y x) #s(literal -2 binary64))))
(*.f64 (/.f64 (/.f64 x (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 y (pow.f64 (-.f64 (+.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 x (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (+.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 y (pow.f64 (-.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) y) x) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 y (+.f64 y x)) (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 x (+.f64 y x)) (pow.f64 (-.f64 (+.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 y (+.f64 y x)) (+.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 x (+.f64 y x)) (pow.f64 (-.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) y) x) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 y (+.f64 y x)) (pow.f64 (-.f64 (+.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 x (+.f64 y x)) (+.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 y (+.f64 y x)) (pow.f64 (-.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) y) x) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 y x) (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 y x) #s(literal -2 binary64)) (pow.f64 (-.f64 (+.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 y x) (+.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 y x) #s(literal -2 binary64)) (pow.f64 (-.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) y) x) #s(literal -1 binary64))))
(*.f64 (/.f64 x (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 y (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (pow.f64 (-.f64 (+.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 y (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (pow.f64 (-.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) y) x) #s(literal -1 binary64))))
(.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (pow.f64 (+.f64 y x) #s(literal -2 binary64))))
(*.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y x))) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))
(.f64 (/.f64 y (neg.f64 (+.f64 y x))) (/.f64 (neg.f64 x) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))))
(*.f64 (/.f64 y (fma.f64 #s(literal -1 binary64) (+.f64 y x) #s(literal -1 binary64))) (/.f64 (neg.f64 x) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))
(*.f64 (/.f64 y (neg.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (/.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (+.f64 y x))))
(.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 x) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))
(.f64 (/.f64 x (neg.f64 (+.f64 y x))) (/.f64 (neg.f64 y) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))))
(*.f64 (/.f64 x (fma.f64 #s(literal -1 binary64) (+.f64 y x) #s(literal -1 binary64))) (/.f64 (neg.f64 y) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))
(*.f64 (/.f64 x (neg.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (/.f64 (neg.f64 y) (+.f64 #s(literal 1 binary64) (+.f64 y x))))
(.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 y) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))
(.f64 (/.f64 x #s(literal 1 binary64)) (.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (pow.f64 (+.f64 y x) #s(literal -2 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 y x))) (.f64 (neg.f64 x) (/.f64 y (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))
(.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (/.f64 (.f64 y x) (fma.f64 #s(literal -1 binary64) (+.f64 y x) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 y x) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (/.f64 (.f64 y x) (*.f64 (neg.f64 (+.f64 y x)) (+.f64 #s(literal 1 binary64) (+.f64 y x)))))
(.f64 (/.f64 (neg.f64 x) (+.f64 y x)) (/.f64 y (.f64 (neg.f64 (+.f64 y x)) (+.f64 #s(literal 1 binary64) (+.f64 y x)))))
(*.f64 (/.f64 (neg.f64 x) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (/.f64 y (fma.f64 #s(literal -1 binary64) (+.f64 y x) #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (+.f64 y x))) (/.f64 y (neg.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))
(.f64 (/.f64 (neg.f64 y) (+.f64 y x)) (/.f64 x (.f64 (neg.f64 (+.f64 y x)) (+.f64 #s(literal 1 binary64) (+.f64 y x)))))
(*.f64 (/.f64 (neg.f64 y) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 #s(literal -1 binary64) (+.f64 y x) #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 y) (+.f64 #s(literal 1 binary64) (+.f64 y x))) (/.f64 x (neg.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) y) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) x) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (+.f64 y x) y) #s(literal -1 binary64)) (pow.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)) x) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (+.f64 y x) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)) y) #s(literal -1 binary64)))
(.f64 (/.f64 y (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (-.f64 (+.f64 y x) #s(literal 1 binary64)) (/.f64 x (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))
(*.f64 (/.f64 y (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 x (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (pow.f64 (-.f64 (+.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 y (+.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (.f64 (-.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) y) x) (/.f64 x (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))
(*.f64 (/.f64 y (+.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 x (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (pow.f64 (-.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) y) x) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 y (/.f64 x (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 y x) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 y (/.f64 x (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (+.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) y) x))
(.f64 (.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x)))) (pow.f64 (+.f64 y x) #s(literal -2 binary64)))
(.f64 (/.f64 (.f64 y x) (+.f64 y x)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))))
(.f64 (.f64 (/.f64 x (pow.f64 (+.f64 y x) #s(literal 2 binary64))) y) (pow.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (+.f64 y x) #s(literal -2 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (.f64 y x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (+.f64 y x) #s(literal -2 binary64)) (.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x)))))
(.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (/.f64 (.f64 y x) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))))
(.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (pow.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) x) (/.f64 (+.f64 y x) y)) #s(literal -1 binary64)))
(.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal -1 binary64)) (.f64 y (/.f64 x (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))
(.f64 (/.f64 x (.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) (/.f64 y (+.f64 y x)))
(*.f64 (/.f64 y (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y x))))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y x))) (/.f64 y (pow.f64 (+.f64 y x) #s(literal 2 binary64))))
(.f64 (/.f64 y (.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) (/.f64 x (+.f64 y x)))
(.f64 (/.f64 y (+.f64 y x)) (.f64 (/.f64 x (+.f64 y x)) (pow.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal -1 binary64))))
(.f64 (/.f64 y (+.f64 y x)) (/.f64 x (.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))))
(.f64 (/.f64 x (+.f64 y x)) (.f64 (/.f64 y (+.f64 y x)) (pow.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal -1 binary64))))
(*.f64 (/.f64 x (+.f64 y x)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x)))
(.f64 (/.f64 x (+.f64 y x)) (/.f64 y (.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))))
(.f64 (.f64 (neg.f64 x) (/.f64 y (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (+.f64 y x) #s(literal -1 binary64))))
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(fma.f64 (+.f64 y x) (*.f64 #s(literal 1 binary64) x) (fma.f64 (+.f64 y x) y (pow.f64 (+.f64 y x) #s(literal 3 binary64))))
(fma.f64 (+.f64 y x) (*.f64 x #s(literal 1 binary64)) (fma.f64 (+.f64 y x) y (pow.f64 (+.f64 y x) #s(literal 3 binary64))))
(fma.f64 (+.f64 y x) (.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) y)) (.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) x))
(fma.f64 (+.f64 y x) (*.f64 (+.f64 y x) y) (fma.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) x (pow.f64 (+.f64 y x) #s(literal 2 binary64))))
(fma.f64 (+.f64 y x) (.f64 (+.f64 y x) y) (.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))
(fma.f64 (+.f64 y x) (.f64 (+.f64 y x) y) (.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 x #s(literal 1 binary64))))
(fma.f64 (+.f64 y x) (.f64 (+.f64 y x) x) (.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) y)) (+.f64 y x)))
(fma.f64 (+.f64 y x) (.f64 (+.f64 y x) x) (.f64 (+.f64 y x) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 y x))))
(fma.f64 (+.f64 y x) (.f64 (+.f64 y x) x) (.f64 (+.f64 #s(literal 1 binary64) y) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))
(fma.f64 (+.f64 y x) (.f64 (+.f64 y x) x) (.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) y)))
(fma.f64 (+.f64 y x) (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))
(fma.f64 (+.f64 y x) (+.f64 y x) (pow.f64 (+.f64 y x) #s(literal 3 binary64)))
(fma.f64 (+.f64 y x) y (fma.f64 (+.f64 y x) x (pow.f64 (+.f64 y x) #s(literal 3 binary64))))
(fma.f64 (+.f64 y x) x (fma.f64 (+.f64 y x) y (pow.f64 (+.f64 y x) #s(literal 3 binary64))))
(fma.f64 y (.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)) (.f64 (*.f64 (+.f64 y x) x) (+.f64 #s(literal 1 binary64) (+.f64 y x))))
(fma.f64 y (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (fma.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) x (pow.f64 (+.f64 y x) #s(literal 2 binary64))))
(fma.f64 y (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))
(fma.f64 y (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 x #s(literal 1 binary64))))
(fma.f64 y (+.f64 y x) (fma.f64 (+.f64 y x) x (pow.f64 (+.f64 y x) #s(literal 3 binary64))))
(fma.f64 x (.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)) (.f64 (*.f64 (+.f64 y x) y) (+.f64 #s(literal 1 binary64) (+.f64 y x))))
(fma.f64 x (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) y)) (+.f64 y x)))
(fma.f64 x (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (.f64 (+.f64 y x) (.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 y x))))
(fma.f64 x (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) y) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))
(fma.f64 x (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) y)))
(fma.f64 x (+.f64 y x) (fma.f64 (+.f64 y x) y (pow.f64 (+.f64 y x) #s(literal 3 binary64))))
(-.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 6 binary64)) (.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 (+.f64 y x) #s(literal 1 binary64)))) (/.f64 (pow.f64 (+.f64 y x) #s(literal 4 binary64)) (.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 (+.f64 y x) #s(literal 1 binary64)))))
(-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal -1 binary64) (+.f64 y x) #s(literal -1 binary64)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))
(+.f64 (+.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (.f64 (+.f64 y x) y)) (.f64 (+.f64 y x) x))
(+.f64 (+.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (.f64 (+.f64 y x) x)) (.f64 (+.f64 y x) y))
(+.f64 (+.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) x)) (.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) y))
(+.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) y))
(+.f64 (.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x)) (.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) y))
(+.f64 (neg.f64 (neg.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)))) (neg.f64 (neg.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))
(+.f64 (.f64 (.f64 (+.f64 y x) y) (+.f64 #s(literal 1 binary64) (+.f64 y x))) (.f64 (.f64 (+.f64 y x) x) (+.f64 #s(literal 1 binary64) (+.f64 y x))))
(+.f64 (.f64 (.f64 (+.f64 y x) x) (+.f64 #s(literal 1 binary64) (+.f64 y x))) (.f64 (.f64 (+.f64 y x) y) (+.f64 #s(literal 1 binary64) (+.f64 y x))))
(+.f64 (.f64 (+.f64 #s(literal 1 binary64) y) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) x))
(+.f64 (*.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) y) (fma.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) x (pow.f64 (+.f64 y x) #s(literal 2 binary64))))
(+.f64 (.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) y) (.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))
(+.f64 (.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) y) (.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 x #s(literal 1 binary64))))
(+.f64 (.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) x) (.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) y)) (+.f64 y x)))
(+.f64 (.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) x) (.f64 (+.f64 y x) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 y x))))
(+.f64 (.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) x) (.f64 (+.f64 #s(literal 1 binary64) y) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))
(+.f64 (.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) x) (.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) y)))
(+.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) y) (+.f64 y x)) (.f64 (.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) x) (+.f64 y x)))
(+.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) x) (+.f64 y x)) (.f64 (.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) y) (+.f64 y x)))
(+.f64 (.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) y)) (.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) x))
(+.f64 (*.f64 (+.f64 y x) y) (fma.f64 (+.f64 y x) x (pow.f64 (+.f64 y x) #s(literal 3 binary64))))
(+.f64 (*.f64 (+.f64 y x) x) (fma.f64 (+.f64 y x) y (pow.f64 (+.f64 y x) #s(literal 3 binary64))))
(+.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))
(+.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (pow.f64 (+.f64 y x) #s(literal 3 binary64)))

eval202.0ms (2%)

Memory: 5.5MiB live, 280.7MiB allocated
Compiler: Compiled 33 680 to 3 444 computations (89.8% saved)

prune416.0ms (4.1%)

Memory

-11.6MiB live, 303.0MiB allocated

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	1 066	18	1 084
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	1 066	19	1 085

Accuracy

100.0%

Counts

1 085 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	92.6%	(/.f64 (.f64 (/.f64 y (+.f64 y x)) x) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)))
	99.8%	(/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (/.f64 x (+.f64 y x))) (+.f64 y x))
✓	68.8%	(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))
	68.8%	(/.f64 (.f64 x y) (.f64 #s(approx (* (+ x y) (+ x y)) (fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))) (+.f64 (+.f64 x y) #s(literal 1 binary64))))
	32.2%	(/.f64 (.f64 x y) (.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 y y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))
	38.6%	(/.f64 (.f64 x y) (.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))
	31.4%	(/.f64 (.f64 x y) #s(approx ( (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 y y y) y)))
▶	38.0%	(/.f64 (.f64 x y) #s(approx ( (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 x x x) x)))
	72.6%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)) (/.f64 (.f64 y x) (+.f64 y x))))
	99.6%	(.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (pow.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) x) (/.f64 (+.f64 y x) y)) #s(literal -1 binary64)))
	92.6%	(.f64 (/.f64 y (+.f64 y x)) (/.f64 x (.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))))
▶	92.6%	(.f64 (/.f64 y (.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) (/.f64 x (+.f64 y x)))
▶	99.8%	(*.f64 (/.f64 x (+.f64 y x)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x)))
	36.1%	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 (-.f64 y (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) x)) x) x))
▶	30.5%	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y)) y) y))
	51.5%	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (fma.f64 x x x)))
	38.7%	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (*.f64 x x)))
	47.1%	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (fma.f64 y y y)))
▶	35.1%	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (*.f64 y y)))

Compiler

Compiled 519 to 321 computations (38.2% saved)

simplify162.0ms (1.6%)

Memory

8.4MiB live, 84.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y)) y)
cost-diff	0	(/.f64 (/.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y)) y) y)
cost-diff	0	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y)) y) y))
cost-diff	128	(-.f64 x (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y))
cost-diff	0	(/.f64 x (+.f64 y x))
cost-diff	0	(+.f64 y x)
cost-diff	0	(+.f64 #s(literal 1 binary64) (+.f64 y x))
cost-diff	0	(*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))
cost-diff	0	(*.f64 (fma.f64 x x x) x)
cost-diff	0	#s(approx (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 x x x) x))
cost-diff	0	(*.f64 x y)
cost-diff	0	(/.f64 (.f64 x y) #s(approx ( (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 x x x) x)))
cost-diff	0	(*.f64 y y)
cost-diff	0	(/.f64 x (*.f64 y y))
cost-diff	0	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (*.f64 y y)))
cost-diff	0	(/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x)))
cost-diff	0	(/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))
cost-diff	0	(+.f64 y x)
cost-diff	0	(/.f64 x (+.f64 y x))

Rules

10 612×	`lower-fma.f32`
10 608×	`lower-fma.f64`
2 906×	`lower-*.f32`
2 892×	`lower-*.f64`
2 338×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	286
0	57	286
1	137	286
2	375	286
3	901	286
4	3800	286
5	4864	286
6	5864	286
7	7350	286
0	8240	276

Stop Event

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

Calls

Call 1

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

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

localize128.0ms (1.3%)

Memory

12.7MiB live, 129.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.5636015993439359	(/.f64 (/.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y)) y) y)
accuracy	1.7227387337173075	(/.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y)) y)
accuracy	5.668597726208318	(/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y)
accuracy	41.57873806119209	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y)) y) y))
accuracy	0.0078125	(/.f64 x (+.f64 y x))
accuracy	0.015625	(*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))
accuracy	0.02734375	(.f64 (/.f64 y (.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) (/.f64 x (+.f64 y x)))
accuracy	15.179416726743579	(/.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)))
accuracy	0	(*.f64 x y)
accuracy	0.07421875	(*.f64 (fma.f64 x x x) x)
accuracy	19.755678404692258	(/.f64 (.f64 x y) #s(approx ( (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 x x x) x)))
accuracy	26.221026865718734	#s(approx (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 x x x) x))
accuracy	0	(*.f64 y y)
accuracy	7.197431032610148	(/.f64 x (*.f64 y y))
accuracy	41.07321302204168	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (*.f64 y y)))
accuracy	0.0078125	(/.f64 x (+.f64 y x))
accuracy	0.0234375	(/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x)))
accuracy	0.02734375	(*.f64 (/.f64 x (+.f64 y x)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x)))
accuracy	0.0546875	(/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))

Samples

74.0ms	232×	0	valid
17.0ms	14×	2	valid
17.0ms	10×	1	valid

Compiler

Compiled 261 to 33 computations (87.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

ival-div: 25.0ms (32.2% of total)

ival-add: 25.0ms (32.2% of total)

ival-mult: 25.0ms (32.2% of total)

adjust: 2.0ms (2.6% of total)

ival-sub: 1.0ms (1.3% of total)

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

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

exact: 0.0ms (0% of total)

series97.0ms (0.9%)

Memory

-51.2MiB live, 73.5MiB allocated

Counts

21 → 480

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
18.0ms	y	@	inf	((/ x (+ y x)) (+ y x) (/ (/ y (+ 1 (+ y x))) (+ y x)) (/ y (+ 1 (+ y x))) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/ x (* y y)) (* y y) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (* (+ (* x x) x) x) (* (+ 1 (+ y x)) (+ y x)) (+ 1 (+ y x)) (- x (/ (* (+ (* 3 x) 1) x) y)) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/ (/ (- x (/ (* (+ (* 3 x) 1) x) y)) y) y) (/ (- x (/ (* (+ (* 3 x) 1) x) y)) y) (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/ y (* (+ 1 (+ y x)) (+ y x))) (* (/ y (* (+ 1 (+ y x)) (+ y x))) (/ x (+ y x))) (/ (* (+ (* 3 x) 1) x) y))
7.0ms	y	@	-inf	((/ x (+ y x)) (+ y x) (/ (/ y (+ 1 (+ y x))) (+ y x)) (/ y (+ 1 (+ y x))) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/ x (* y y)) (* y y) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (* (+ (* x x) x) x) (* (+ 1 (+ y x)) (+ y x)) (+ 1 (+ y x)) (- x (/ (* (+ (* 3 x) 1) x) y)) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/ (/ (- x (/ (* (+ (* 3 x) 1) x) y)) y) y) (/ (- x (/ (* (+ (* 3 x) 1) x) y)) y) (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/ y (* (+ 1 (+ y x)) (+ y x))) (* (/ y (* (+ 1 (+ y x)) (+ y x))) (/ x (+ y x))) (/ (* (+ (* 3 x) 1) x) y))
5.0ms	x	@	-inf	((/ x (+ y x)) (+ y x) (/ (/ y (+ 1 (+ y x))) (+ y x)) (/ y (+ 1 (+ y x))) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/ x (* y y)) (* y y) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (* (+ (* x x) x) x) (* (+ 1 (+ y x)) (+ y x)) (+ 1 (+ y x)) (- x (/ (* (+ (* 3 x) 1) x) y)) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/ (/ (- x (/ (* (+ (* 3 x) 1) x) y)) y) y) (/ (- x (/ (* (+ (* 3 x) 1) x) y)) y) (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/ y (* (+ 1 (+ y x)) (+ y x))) (* (/ y (* (+ 1 (+ y x)) (+ y x))) (/ x (+ y x))) (/ (* (+ (* 3 x) 1) x) y))
5.0ms	x	@	inf	((/ x (+ y x)) (+ y x) (/ (/ y (+ 1 (+ y x))) (+ y x)) (/ y (+ 1 (+ y x))) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/ x (* y y)) (* y y) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (* (+ (* x x) x) x) (* (+ 1 (+ y x)) (+ y x)) (+ 1 (+ y x)) (- x (/ (* (+ (* 3 x) 1) x) y)) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/ (/ (- x (/ (* (+ (* 3 x) 1) x) y)) y) y) (/ (- x (/ (* (+ (* 3 x) 1) x) y)) y) (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/ y (* (+ 1 (+ y x)) (+ y x))) (* (/ y (* (+ 1 (+ y x)) (+ y x))) (/ x (+ y x))) (/ (* (+ (* 3 x) 1) x) y))
4.0ms	x	@	0	((/ x (+ y x)) (+ y x) (/ (/ y (+ 1 (+ y x))) (+ y x)) (/ y (+ 1 (+ y x))) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/ x (* y y)) (* y y) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (* (+ (* x x) x) x) (* (+ 1 (+ y x)) (+ y x)) (+ 1 (+ y x)) (- x (/ (* (+ (* 3 x) 1) x) y)) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/ (/ (- x (/ (* (+ (* 3 x) 1) x) y)) y) y) (/ (- x (/ (* (+ (* 3 x) 1) x) y)) y) (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/ y (* (+ 1 (+ y x)) (+ y x))) (* (/ y (* (+ 1 (+ y x)) (+ y x))) (/ x (+ y x))) (/ (* (+ (* 3 x) 1) x) y))

simplify198.0ms (1.9%)

Memory

-0.6MiB live, 348.4MiB allocated

Algorithm

1×	egg-herbie

Rules

7 742×	`lower-fma.f64`
7 742×	`lower-fma.f32`
6 302×	`lower-*.f64`
6 302×	`lower-*.f32`
5 384×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	904	12981
1	3162	12502
0	8075	11575

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 468

Calls

Call 1

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

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

rewrite245.0ms (2.4%)

Memory

14.9MiB live, 373.9MiB allocated

Rules

6 728×	`lower-/.f32`
6 710×	`lower-/.f64`
3 384×	`lower-fma.f32`
3 380×	`lower-fma.f64`
2 994×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	245
0	57	233
1	280	233
2	2529	233
0	8943	233

Stop Event

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

Counts

21 → 1 127

Calls

Call 1

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

Outputs
(.f64 (/.f64 x (fma.f64 x x (.f64 (neg.f64 y) y))) (-.f64 x y))
(.f64 (/.f64 x (.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x))
(.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (.f64 x x)))
(.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y (.f64 x (-.f64 x y))))
(*.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) x)
(*.f64 (neg.f64 x) (pow.f64 (neg.f64 (+.f64 y x)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 y x)))
(*.f64 x (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
(pow.f64 (/.f64 (+.f64 y x) x) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 (+.f64 y x)))))
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (neg.f64 (+.f64 y x)))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (+.f64 y x))))
(/.f64 (*.f64 x #s(literal 1 binary64)) (+.f64 y x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 y x) x)))
(/.f64 (neg.f64 x) (neg.f64 (+.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (*.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 y x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) x))
(/.f64 x (+.f64 y x))
(neg.f64 (/.f64 (neg.f64 x) (+.f64 y x)))
(neg.f64 (/.f64 x (neg.f64 (+.f64 y x))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 y x))) (/.f64 x (neg.f64 (+.f64 y x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 y x) x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 x x (.f64 (neg.f64 y) y)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (+.f64 y x) (-.f64 y x)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 y (-.f64 y x) (.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 y y (.f64 x (-.f64 x y))) #s(literal -1 binary64)) #s(literal 1 binary64)))
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(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)) (neg.f64 (+.f64 y x)))) (/.f64 (.f64 y x) (.f64 (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)) (neg.f64 (+.f64 y x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (fma.f64 #s(literal -1 binary64) (+.f64 y x) #s(literal -1 binary64)) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (/.f64 (.f64 y x) (*.f64 (fma.f64 #s(literal -1 binary64) (+.f64 y x) #s(literal -1 binary64)) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) x) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) y))) #s(literal -1 binary64)))
(.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 y #s(literal -1 binary64)) (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x))
(*.f64 (/.f64 x y) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
(.f64 (.f64 (neg.f64 x) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) (pow.f64 (neg.f64 y) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (/.f64 x y))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y))
(*.f64 x (/.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) y))
(.f64 x (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64))))
(pow.f64 (/.f64 y (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 9 binary64) (.f64 x x) #s(literal -1 binary64)) (/.f64 x y))) (neg.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 x y))) (neg.f64 (fma.f64 #s(literal 9 binary64) (.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x)))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 9 binary64) (.f64 x x) #s(literal -1 binary64)) x)) (neg.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -1 binary64)) y)))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) x)) (neg.f64 (.f64 (fma.f64 #s(literal 9 binary64) (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x))) y)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))))) (neg.f64 (neg.f64 (neg.f64 y))))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) #s(literal 1 binary64))) (neg.f64 y))
(/.f64 (.f64 (fma.f64 #s(literal 9 binary64) (.f64 x x) #s(literal -1 binary64)) (/.f64 x y)) (fma.f64 #s(literal 3 binary64) x #s(literal -1 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 x y)) (fma.f64 #s(literal 9 binary64) (.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))) (neg.f64 (neg.f64 y)))
(/.f64 (.f64 (fma.f64 #s(literal 9 binary64) (.f64 x x) #s(literal -1 binary64)) x) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -1 binary64)) y))
(/.f64 (.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) x) (.f64 (fma.f64 #s(literal 9 binary64) (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x))) y))
(/.f64 (.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) #s(literal 1 binary64)) y)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x))))
(/.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) (neg.f64 y))
(/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -1 binary64)) (.f64 (fma.f64 #s(literal 9 binary64) (.f64 x x) #s(literal -1 binary64)) (/.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 9 binary64) (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x))) (*.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -1 binary64)) y) (.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -1 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 #s(literal 9 binary64) (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x))) y) (.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x)))
(neg.f64 (/.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) y))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) y))
(exp.f64 (.f64 (log.f64 (/.f64 y (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x))) #s(literal -1 binary64)))

eval451.0ms (4.4%)

Memory: 7.4MiB live, 699.3MiB allocated
Compiler: Compiled 58 831 to 5 692 computations (90.3% saved)

prune286.0ms (2.8%)

Memory

1.8MiB live, 717.9MiB allocated

Pruning

25 alts after pruning (22 fresh and 3 done)

	Pruned	Kept	Total
New	2 168	16	2 184
Fresh	7	6	13
Picked	3	2	5
Done	0	1	1
Total	2 178	25	2 203

Accuracy

100.0%

Counts

2 203 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(/.f64 (/.f64 x (+.f64 y x)) (*.f64 (/.f64 (+.f64 y x) y) (+.f64 #s(literal 1 binary64) (+.f64 y x))))
✓	68.8%	(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))
	68.8%	(/.f64 (.f64 x y) (.f64 #s(approx (* (+ x y) (+ x y)) (fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))) (+.f64 (+.f64 x y) #s(literal 1 binary64))))
▶	32.2%	(/.f64 (.f64 x y) (.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 y y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))
	31.4%	(/.f64 (.f64 x y) #s(approx ( (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 y y y) y)))
	38.1%	(/.f64 (.f64 x y) #s(approx ( (* (+ x y) (+ x y)) (+ (+ x y) 1)) (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 x x))))
	99.0%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (+.f64 y x) y) (+.f64 #s(literal 1 binary64) (+.f64 y x))) (/.f64 (+.f64 y x) x)))
	92.6%	(.f64 (/.f64 y (fma.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) y) (.f64 (+.f64 y x) x))) (/.f64 x (+.f64 y x)))
	66.3%	(.f64 (/.f64 y (.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) #s(approx (/ x (+ y x)) #s(literal 1 binary64)))
	72.8%	(.f64 (/.f64 y (.f64 #s(approx (+ 1 (+ y x)) (+.f64 y #s(literal 1 binary64))) (+.f64 y x))) (/.f64 x (+.f64 y x)))
▶	47.3%	(.f64 (/.f64 y #s(approx ( (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 x x x) x))) x)
✓	99.8%	(*.f64 (/.f64 x (+.f64 y x)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x)))
	37.3%	(*.f64 (/.f64 x (+.f64 y x)) (/.f64 #s(approx (/ y (+ 1 (+ y x))) #s(literal 1 binary64)) (+.f64 y x)))
	48.4%	(*.f64 (/.f64 x (+.f64 y x)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))))
	36.2%	(*.f64 (/.f64 x (+.f64 y x)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y)))
	54.3%	(*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x)))
▶	89.5%	(.f64 y (/.f64 (/.f64 x (+.f64 y x)) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))))
	48.9%	(.f64 y (/.f64 x #s(approx ( (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 x x x) x))))
	35.0%	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (neg.f64 (/.f64 x y)) x) y) y))
	31.2%	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 (-.f64 x #s(approx (/ (* (+ (* 3 x) 1) x) y) (.f64 (/.f64 (.f64 x x) y) #s(literal 3 binary64)))) y) y))
	35.8%	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 x y) y))
	51.5%	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (fma.f64 x x x)))
▶	38.7%	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (*.f64 x x)))
	47.1%	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (fma.f64 y y y)))
✓	35.1%	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (*.f64 y y)))

Compiler

Compiled 612 to 395 computations (35.5% saved)

simplify172.0ms (1.7%)

Memory

14.4MiB live, 201.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

10 900×	`lower-fma.f32`
10 898×	`lower-fma.f64`
5 358×	`lower-*.f32`
5 340×	`lower-*.f64`
2 034×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	283
0	54	283
1	155	283
2	451	283
3	1189	283
4	4679	283
5	5149	283
6	5650	283
7	6302	283
8	6550	283
9	6572	283
10	7199	283
11	7447	283
12	7538	283
0	8319	276

Stop Event

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

Calls

Call 1

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

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

localize86.0ms (0.8%)

Memory

37.8MiB live, 191.9MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(/.f64 x (+.f64 y x))
accuracy	0.015625	(*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))
accuracy	0.21553754191262145	(/.f64 (/.f64 x (+.f64 y x)) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)))
accuracy	6.682582986277015	(.f64 y (/.f64 (/.f64 x (+.f64 y x)) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))))
accuracy	0	(*.f64 x y)
accuracy	0.0625	(.f64 #s(approx ( (+ x y) (+ x y)) (*.f64 y y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))
accuracy	19.755678404692258	(/.f64 (.f64 x y) (.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 y y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))
accuracy	28.838450992669863	#s(approx (* (+ x y) (+ x y)) (*.f64 y y))
accuracy	0.07421875	(*.f64 (fma.f64 x x x) x)
accuracy	6.346417706418125	(/.f64 y #s(approx (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 x x x) x)))
accuracy	6.613626666003153	(.f64 (/.f64 y #s(approx ( (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 x x x) x))) x)
accuracy	26.221026865718734	#s(approx (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 x x x) x))
accuracy	0	(*.f64 x x)
accuracy	8.345221226292622	(/.f64 y (*.f64 x x))
accuracy	38.15295405486984	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (*.f64 x x)))
accuracy	0.0078125	(/.f64 x (+.f64 y x))
accuracy	0.01171875	(/.f64 (+.f64 y x) y)
accuracy	0.046875	(*.f64 (/.f64 (+.f64 y x) y) (+.f64 #s(literal 1 binary64) (+.f64 y x)))
accuracy	0.424513376173171	(/.f64 (/.f64 x (+.f64 y x)) (*.f64 (/.f64 (+.f64 y x) y) (+.f64 #s(literal 1 binary64) (+.f64 y x))))

Samples

67.0ms

256×

valid

Compiler

Compiled 248 to 27 computations (89.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-mult: 25.0ms (48% of total)

ival-add: 16.0ms (30.7% of total)

ival-div: 10.0ms (19.2% of total)

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

exact: 0.0ms (0% of total)

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

series94.0ms (0.9%)

Memory

-62.3MiB live, 95.3MiB allocated

Counts

20 → 444

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
24.0ms	y	@	0	((/ x (+ y x)) (+ y x) (* (/ (+ y x) y) (+ 1 (+ y x))) (/ (+ y x) y) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/ y (* x x)) (* x x) (* (/ y (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) x) (/ y (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (* (+ (* x x) x) x) (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (* (+ x y) (+ x y)) (* y y) (* y (/ (/ x (+ y x)) (* (+ 1 (+ y x)) (+ y x)))) (* (+ 1 (+ y x)) (+ y x)) (/ (/ x (+ y x)) (* (/ (+ y x) y) (+ 1 (+ y x)))) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/ (/ x (+ y x)) (* (+ 1 (+ y x)) (+ y x))))
9.0ms	x	@	inf	((/ x (+ y x)) (+ y x) (* (/ (+ y x) y) (+ 1 (+ y x))) (/ (+ y x) y) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/ y (* x x)) (* x x) (* (/ y (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) x) (/ y (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (* (+ (* x x) x) x) (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (* (+ x y) (+ x y)) (* y y) (* y (/ (/ x (+ y x)) (* (+ 1 (+ y x)) (+ y x)))) (* (+ 1 (+ y x)) (+ y x)) (/ (/ x (+ y x)) (* (/ (+ y x) y) (+ 1 (+ y x)))) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/ (/ x (+ y x)) (* (+ 1 (+ y x)) (+ y x))))
5.0ms	x	@	-inf	((/ x (+ y x)) (+ y x) (* (/ (+ y x) y) (+ 1 (+ y x))) (/ (+ y x) y) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/ y (* x x)) (* x x) (* (/ y (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) x) (/ y (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (* (+ (* x x) x) x) (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (* (+ x y) (+ x y)) (* y y) (* y (/ (/ x (+ y x)) (* (+ 1 (+ y x)) (+ y x)))) (* (+ 1 (+ y x)) (+ y x)) (/ (/ x (+ y x)) (* (/ (+ y x) y) (+ 1 (+ y x)))) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/ (/ x (+ y x)) (* (+ 1 (+ y x)) (+ y x))))
4.0ms	y	@	-inf	((/ x (+ y x)) (+ y x) (* (/ (+ y x) y) (+ 1 (+ y x))) (/ (+ y x) y) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/ y (* x x)) (* x x) (* (/ y (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) x) (/ y (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (* (+ (* x x) x) x) (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (* (+ x y) (+ x y)) (* y y) (* y (/ (/ x (+ y x)) (* (+ 1 (+ y x)) (+ y x)))) (* (+ 1 (+ y x)) (+ y x)) (/ (/ x (+ y x)) (* (/ (+ y x) y) (+ 1 (+ y x)))) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/ (/ x (+ y x)) (* (+ 1 (+ y x)) (+ y x))))
3.0ms	x	@	0	((/ x (+ y x)) (+ y x) (* (/ (+ y x) y) (+ 1 (+ y x))) (/ (+ y x) y) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/ y (* x x)) (* x x) (* (/ y (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) x) (/ y (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (* (+ (* x x) x) x) (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (* (+ x y) (+ x y)) (* y y) (* y (/ (/ x (+ y x)) (* (+ 1 (+ y x)) (+ y x)))) (* (+ 1 (+ y x)) (+ y x)) (/ (/ x (+ y x)) (* (/ (+ y x) y) (+ 1 (+ y x)))) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/ (/ x (+ y x)) (* (+ 1 (+ y x)) (+ y x))))

simplify212.0ms (2.1%)

Memory

33.3MiB live, 217.8MiB allocated

Algorithm

1×	egg-herbie

Rules

7 664×	`lower-fma.f64`
7 664×	`lower-fma.f32`
6 300×	`lower-*.f64`
6 300×	`lower-*.f32`
5 678×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	850	13204
1	3025	12769
0	8023	11695

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 436

Calls

Call 1

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

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

rewrite200.0ms (2%)

Memory

-0.0MiB live, 315.2MiB allocated

Rules

6 426×	`lower-/.f32`
6 412×	`lower-/.f64`
2 642×	`lower-*.f32`
2 624×	`lower-*.f64`
2 466×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	240
0	55	226
1	263	220
2	2438	220
0	8155	220

Stop Event

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

Counts

20 → 1 035

Calls

Call 1

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

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

eval348.0ms (3.4%)

Memory: 23.4MiB live, 566.5MiB allocated
Compiler: Compiled 54 291 to 5 260 computations (90.3% saved)

prune324.0ms (3.2%)

Memory

-25.8MiB live, 462.8MiB allocated

Pruning

28 alts after pruning (22 fresh and 6 done)

	Pruned	Kept	Total
New	1 969	11	1 980
Fresh	6	11	17
Picked	2	3	5
Done	0	3	3
Total	1 977	28	2 005

Accuracy

100.0%

Counts

2 005 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(/.f64 (/.f64 (*.f64 (/.f64 x (+.f64 y x)) y) (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))
	49.2%	(/.f64 (/.f64 x (+.f64 y x)) (*.f64 #s(approx (/ (+ y x) y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 y x))))
	72.0%	(/.f64 (/.f64 x (+.f64 y x)) #s(approx (* (/ (+ y x) y) (+ 1 (+ y x))) (+.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) x y) #s(literal 1 binary64))))
	48.4%	(/.f64 (/.f64 x (+.f64 y x)) #s(approx (* (/ (+ y x) y) (+ 1 (+ y x))) (+.f64 y #s(literal 1 binary64))))
✓	68.8%	(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))
	68.8%	(/.f64 (.f64 x y) (.f64 #s(approx (* (+ x y) (+ x y)) (fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))) (+.f64 (+.f64 x y) #s(literal 1 binary64))))
✓	32.2%	(/.f64 (.f64 x y) (.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 y y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))
	31.4%	(/.f64 (.f64 x y) #s(approx ( (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 y y y) y)))
	38.1%	(/.f64 (.f64 x y) #s(approx ( (* (+ x y) (+ x y)) (+ (+ x y) 1)) (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 x x))))
	53.8%	(/.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (*.f64 (/.f64 (+.f64 y x) y) (+.f64 #s(literal 1 binary64) (+.f64 y x))))
	99.0%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (+.f64 y x) y) (+.f64 #s(literal 1 binary64) (+.f64 y x))) (/.f64 (+.f64 y x) x)))
▶	66.3%	(.f64 (/.f64 y (.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) #s(approx (/ x (+ y x)) #s(literal 1 binary64)))
▶	72.8%	(.f64 (/.f64 y (.f64 #s(approx (+ 1 (+ y x)) (+.f64 y #s(literal 1 binary64))) (+.f64 y x))) (/.f64 x (+.f64 y x)))
✓	47.3%	(.f64 (/.f64 y #s(approx ( (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 x x x) x))) x)
✓	99.8%	(*.f64 (/.f64 x (+.f64 y x)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x)))
	37.3%	(*.f64 (/.f64 x (+.f64 y x)) (/.f64 #s(approx (/ y (+ 1 (+ y x))) #s(literal 1 binary64)) (+.f64 y x)))
	36.2%	(*.f64 (/.f64 x (+.f64 y x)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y)))
	35.1%	(.f64 #s(approx (/ y ( (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 #s(literal 1 binary64) (*.f64 y y))) x)
	39.1%	(.f64 y #s(approx (/ (/ x (+ y x)) ( (+ 1 (+ y x)) (+ y x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) x)) (*.f64 x x))))
	38.7%	(.f64 y #s(approx (/ (/ x (+ y x)) ( (+ 1 (+ y x)) (+ y x))) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
	51.5%	#s(approx (/ (/ x (+ y x)) (* (/ (+ y x) y) (+ 1 (+ y x)))) (/.f64 y (fma.f64 x x x)))
▶	47.1%	#s(approx (/ (/ x (+ y x)) (* (/ (+ y x) y) (+ 1 (+ y x)))) (/.f64 x (fma.f64 y y y)))
	35.0%	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (neg.f64 (/.f64 x y)) x) y) y))
	31.2%	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 (-.f64 x #s(approx (/ (* (+ (* 3 x) 1) x) y) (.f64 (/.f64 (.f64 x x) y) #s(literal 3 binary64)))) y) y))
▶	40.4%	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 y x) x))
	35.8%	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 x y) y))
✓	38.7%	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (*.f64 x x)))
✓	35.1%	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (*.f64 y y)))

Compiler

Compiled 617 to 421 computations (31.8% saved)

simplify153.0ms (1.5%)

Memory

26.1MiB live, 175.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

10 178×	`lower-fma.f32`
10 176×	`lower-fma.f64`
3 910×	`lower-*.f32`
3 900×	`lower-*.f64`
2 006×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	251
0	58	251
1	149	251
2	410	251
3	1132	251
4	4804	251
5	5305	251
6	5977	251
7	6039	251
8	6062	251
9	6065	251
10	6634	251
11	7226	251
0	8129	248

Stop Event

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

Calls

Call 1

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

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

localize104.0ms (1%)

Memory

-15.2MiB live, 119.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.015625	(*.f64 #s(approx (+ 1 (+ y x)) (+.f64 y #s(literal 1 binary64))) (+.f64 y x))
accuracy	0.02734375	(.f64 (/.f64 y (.f64 #s(approx (+ 1 (+ y x)) (+.f64 y #s(literal 1 binary64))) (+.f64 y x))) (/.f64 x (+.f64 y x)))
accuracy	15.179416726743579	(/.f64 y (*.f64 #s(approx (+ 1 (+ y x)) (+.f64 y #s(literal 1 binary64))) (+.f64 y x)))
accuracy	26.50354997042751	#s(approx (+ 1 (+ y x)) (+.f64 y #s(literal 1 binary64)))
accuracy	0.015625	(*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))
accuracy	0.02734375	(.f64 (/.f64 y (.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) #s(approx (/ x (+ y x)) #s(literal 1 binary64)))
accuracy	15.179416726743579	(/.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)))
accuracy	29.738945517296465	#s(approx (/ x (+ y x)) #s(literal 1 binary64))
accuracy	0	(/.f64 y x)
accuracy	0.1484375	(/.f64 (/.f64 y x) x)
accuracy	38.15295405486984	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 y x) x))
accuracy	0	(fma.f64 y y y)
accuracy	4.782753386897968	(/.f64 x (fma.f64 y y y))
accuracy	33.43114868769454	#s(approx (/ (/ x (+ y x)) (* (/ (+ y x) y) (+ 1 (+ y x)))) (/.f64 x (fma.f64 y y y)))
accuracy	0.0078125	(/.f64 x (+.f64 y x))
accuracy	0.02734375	(/.f64 (*.f64 (/.f64 x (+.f64 y x)) y) (+.f64 #s(literal 1 binary64) (+.f64 y x)))
accuracy	0.0625	(/.f64 (/.f64 (*.f64 (/.f64 x (+.f64 y x)) y) (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))
accuracy	6.495892885557515	(*.f64 (/.f64 x (+.f64 y x)) y)

Samples

85.0ms

256×

valid

Compiler

Compiled 222 to 29 computations (86.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-div: 36.0ms (65.1% of total)

ival-mult: 11.0ms (19.9% of total)

ival-add: 8.0ms (14.5% of total)

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

exact: 0.0ms (0% of total)

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

series51.0ms (0.5%)

Memory

-3.8MiB live, 69.3MiB allocated

Counts

21 → 480

Calls

Call 1

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

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

6 calls:

Time	Variable		Point	Expression
18.0ms	y	@	-inf	((/ (* (/ x (+ y x)) y) (+ 1 (+ y x))) (* (/ x (+ y x)) y) (/ x (+ y x)) (+ y x) (/ (/ x (+ y x)) (* (/ (+ y x) y) (+ 1 (+ y x)))) (/ x (+ (* y y) y)) (+ (* y y) y) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/ (/ y x) x) (/ y x) (* (/ y (* (+ 1 (+ y x)) (+ y x))) (/ x (+ y x))) (* (+ 1 (+ y x)) (+ y x)) (+ 1 (+ y x)) (* (/ y (* (+ 1 (+ y x)) (+ y x))) (/ x (+ y x))) (* (+ 1 (+ y x)) (+ y x)) (+ 1 (+ y x)) (+ y 1) (/ (/ (* (/ x (+ y x)) y) (+ 1 (+ y x))) (+ y x)) (/ x (+ y x)) (/ y (* (+ 1 (+ y x)) (+ y x))) (/ y (* (+ 1 (+ y x)) (+ y x))))
3.0ms	y	@	0	((/ (* (/ x (+ y x)) y) (+ 1 (+ y x))) (* (/ x (+ y x)) y) (/ x (+ y x)) (+ y x) (/ (/ x (+ y x)) (* (/ (+ y x) y) (+ 1 (+ y x)))) (/ x (+ (* y y) y)) (+ (* y y) y) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/ (/ y x) x) (/ y x) (* (/ y (* (+ 1 (+ y x)) (+ y x))) (/ x (+ y x))) (* (+ 1 (+ y x)) (+ y x)) (+ 1 (+ y x)) (* (/ y (* (+ 1 (+ y x)) (+ y x))) (/ x (+ y x))) (* (+ 1 (+ y x)) (+ y x)) (+ 1 (+ y x)) (+ y 1) (/ (/ (* (/ x (+ y x)) y) (+ 1 (+ y x))) (+ y x)) (/ x (+ y x)) (/ y (* (+ 1 (+ y x)) (+ y x))) (/ y (* (+ 1 (+ y x)) (+ y x))))
3.0ms	x	@	-inf	((/ (* (/ x (+ y x)) y) (+ 1 (+ y x))) (* (/ x (+ y x)) y) (/ x (+ y x)) (+ y x) (/ (/ x (+ y x)) (* (/ (+ y x) y) (+ 1 (+ y x)))) (/ x (+ (* y y) y)) (+ (* y y) y) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/ (/ y x) x) (/ y x) (* (/ y (* (+ 1 (+ y x)) (+ y x))) (/ x (+ y x))) (* (+ 1 (+ y x)) (+ y x)) (+ 1 (+ y x)) (* (/ y (* (+ 1 (+ y x)) (+ y x))) (/ x (+ y x))) (* (+ 1 (+ y x)) (+ y x)) (+ 1 (+ y x)) (+ y 1) (/ (/ (* (/ x (+ y x)) y) (+ 1 (+ y x))) (+ y x)) (/ x (+ y x)) (/ y (* (+ 1 (+ y x)) (+ y x))) (/ y (* (+ 1 (+ y x)) (+ y x))))
2.0ms	y	@	inf	((/ (* (/ x (+ y x)) y) (+ 1 (+ y x))) (* (/ x (+ y x)) y) (/ x (+ y x)) (+ y x) (/ (/ x (+ y x)) (* (/ (+ y x) y) (+ 1 (+ y x)))) (/ x (+ (* y y) y)) (+ (* y y) y) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/ (/ y x) x) (/ y x) (* (/ y (* (+ 1 (+ y x)) (+ y x))) (/ x (+ y x))) (* (+ 1 (+ y x)) (+ y x)) (+ 1 (+ y x)) (* (/ y (* (+ 1 (+ y x)) (+ y x))) (/ x (+ y x))) (* (+ 1 (+ y x)) (+ y x)) (+ 1 (+ y x)) (+ y 1) (/ (/ (* (/ x (+ y x)) y) (+ 1 (+ y x))) (+ y x)) (/ x (+ y x)) (/ y (* (+ 1 (+ y x)) (+ y x))) (/ y (* (+ 1 (+ y x)) (+ y x))))
2.0ms	x	@	inf	((/ (* (/ x (+ y x)) y) (+ 1 (+ y x))) (* (/ x (+ y x)) y) (/ x (+ y x)) (+ y x) (/ (/ x (+ y x)) (* (/ (+ y x) y) (+ 1 (+ y x)))) (/ x (+ (* y y) y)) (+ (* y y) y) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/ (/ y x) x) (/ y x) (* (/ y (* (+ 1 (+ y x)) (+ y x))) (/ x (+ y x))) (* (+ 1 (+ y x)) (+ y x)) (+ 1 (+ y x)) (* (/ y (* (+ 1 (+ y x)) (+ y x))) (/ x (+ y x))) (* (+ 1 (+ y x)) (+ y x)) (+ 1 (+ y x)) (+ y 1) (/ (/ (* (/ x (+ y x)) y) (+ 1 (+ y x))) (+ y x)) (/ x (+ y x)) (/ y (* (+ 1 (+ y x)) (+ y x))) (/ y (* (+ 1 (+ y x)) (+ y x))))

simplify344.0ms (3.4%)

Memory

15.6MiB live, 347.5MiB allocated

Algorithm

1×	egg-herbie

Rules

8 720×	`lower-fma.f64`
8 720×	`lower-fma.f32`
6 298×	`lower-*.f64`
6 298×	`lower-*.f32`
5 558×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	827	13131
1	2946	12453
0	8189	11535

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 457

Calls

Call 1

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

rewrite376.0ms (3.7%)

Memory

-12.2MiB live, 345.1MiB allocated

Rules

7 472×	`lower-/.f32`
7 456×	`lower-/.f64`
2 954×	`lower-fma.f32`
2 952×	`lower-fma.f64`
2 908×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	222
0	58	220
1	285	214
2	2727	214
0	9051	214

Stop Event

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

Counts

21 → 1 019

Calls

Call 1

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

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

eval318.0ms (3.1%)

Memory: 17.2MiB live, 526.2MiB allocated
Compiler: Compiled 56 074 to 5 934 computations (89.4% saved)

prune596.0ms (5.8%)

Memory

-26.0MiB live, 490.3MiB allocated

Pruning

35 alts after pruning (26 fresh and 9 done)

	Pruned	Kept	Total
New	2 181	11	2 192
Fresh	2	15	17
Picked	1	4	5
Done	1	5	6
Total	2 185	35	2 220

Accuracy

100.0%

Counts

2 220 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(/.f64 (/.f64 (*.f64 (/.f64 x (+.f64 y x)) y) (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))
	49.2%	(/.f64 (/.f64 x (+.f64 y x)) (*.f64 #s(approx (/ (+ y x) y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 y x))))
	72.0%	(/.f64 (/.f64 x (+.f64 y x)) #s(approx (* (/ (+ y x) y) (+ 1 (+ y x))) (+.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) x y) #s(literal 1 binary64))))
	48.4%	(/.f64 (/.f64 x (+.f64 y x)) #s(approx (* (/ (+ y x) y) (+ 1 (+ y x))) (+.f64 y #s(literal 1 binary64))))
✓	68.8%	(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))
	68.8%	(/.f64 (.f64 x y) (.f64 #s(approx (* (+ x y) (+ x y)) (fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))) (+.f64 (+.f64 x y) #s(literal 1 binary64))))
	31.4%	(/.f64 (.f64 x y) #s(approx ( (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 y y y) y)))
	38.1%	(/.f64 (.f64 x y) #s(approx ( (* (+ x y) (+ x y)) (+ (+ x y) 1)) (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 x x))))
	40.9%	(/.f64 #s(approx (/ (* (/ x (+ y x)) y) (+ 1 (+ y x))) (/.f64 y x)) (+.f64 y x))
	36.2%	(/.f64 #s(approx (/ (* (/ x (+ y x)) y) (+ 1 (+ y x))) (/.f64 x y)) (+.f64 y x))
	53.8%	(/.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (*.f64 (/.f64 (+.f64 y x) y) (+.f64 #s(literal 1 binary64) (+.f64 y x))))
	71.6%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 y x) x) (.f64 #s(approx (+ 1 (+ y x)) (+.f64 #s(literal 1 binary64) y)) (/.f64 (+.f64 y x) y))))
	54.3%	(*.f64 (/.f64 y (+.f64 y x)) (/.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 y x))))
✓	66.3%	(.f64 (/.f64 y (.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) #s(approx (/ x (+ y x)) #s(literal 1 binary64)))
	53.8%	(.f64 (/.f64 y (.f64 #s(approx (+ 1 (+ y x)) (+.f64 x #s(literal 1 binary64))) (+.f64 y x))) #s(approx (/ x (+ y x)) #s(literal 1 binary64)))
	49.0%	(.f64 (/.f64 y (.f64 #s(approx (+ 1 (+ y x)) #s(approx (+ y 1) #s(literal 1 binary64))) (+.f64 y x))) (/.f64 x (+.f64 y x)))
	53.8%	(.f64 (/.f64 y #s(approx ( (+ 1 (+ y x)) (+ y x)) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) y (fma.f64 x x x)))) #s(approx (/ x (+ y x)) #s(literal 1 binary64)))
✓	47.3%	(.f64 (/.f64 y #s(approx ( (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 x x x) x))) x)
✓	99.8%	(*.f64 (/.f64 x (+.f64 y x)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x)))
	37.3%	(*.f64 (/.f64 x (+.f64 y x)) (/.f64 #s(approx (/ y (+ 1 (+ y x))) #s(literal 1 binary64)) (+.f64 y x)))
	36.2%	(*.f64 (/.f64 x (+.f64 y x)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y)))
	4.1%	(.f64 #s(approx (/ y ( (+ 1 (+ y x)) (+ y x))) (/.f64 #s(literal 1 binary64) y)) #s(approx (/ x (+ y x)) #s(literal 1 binary64)))
	35.1%	(.f64 #s(approx (/ y ( (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 #s(literal 1 binary64) (*.f64 y y))) x)
	39.1%	(.f64 y #s(approx (/ (/ x (+ y x)) ( (+ 1 (+ y x)) (+ y x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) x)) (*.f64 x x))))
	38.7%	(.f64 y #s(approx (/ (/ x (+ y x)) ( (+ 1 (+ y x)) (+ y x))) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
	51.5%	#s(approx (/ (/ (* (/ x (+ y x)) y) (+ 1 (+ y x))) (+ y x)) (/.f64 y (fma.f64 x x x)))
✓	47.1%	#s(approx (/ (/ x (+ y x)) (* (/ (+ y x) y) (+ 1 (+ y x)))) (/.f64 x (fma.f64 y y y)))
	25.5%	#s(approx (/ (/ x (+ y x)) (* (/ (+ y x) y) (+ 1 (+ y x)))) #s(approx (/ x (+ (* y y) y)) (/.f64 x y)))
	35.0%	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (neg.f64 (/.f64 x y)) x) y) y))
	31.2%	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 (-.f64 x #s(approx (/ (* (+ (* 3 x) 1) x) y) (.f64 (/.f64 (.f64 x x) y) #s(literal 3 binary64)))) y) y))
✓	40.4%	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 y x) x))
	35.8%	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 x y) y))
✓	38.7%	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (*.f64 x x)))
✓	35.1%	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (*.f64 y y)))
	40.0%	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) x)))

Compiler

Compiled 1 138 to 481 computations (57.7% saved)

regimes84.0ms (0.8%)

Memory

-11.4MiB live, 119.2MiB allocated

Counts

57 → 1

Calls

Call 1

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

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

Calls

3 calls:

45.0ms	y
21.0ms	x
14.0ms	(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))

Results

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes46.0ms (0.5%)

Memory

28.8MiB live, 67.4MiB allocated

Counts

52 → 1

Calls

Call 1

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

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

Calls

3 calls:

16.0ms	y
15.0ms	x
13.0ms	(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))

Results

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes64.0ms (0.6%)

Memory

-14.8MiB live, 99.8MiB allocated

Counts

48 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

28.0ms	(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))
17.0ms	x
16.0ms	y

Results

Accuracy	Segments	Branch
96.1%	2	`x`
96.9%	3	`y`
92.6%	1	`(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes55.0ms (0.5%)

Memory

11.6MiB live, 48.6MiB allocated

Counts

39 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

41.0ms	y
11.0ms	x

Results

Accuracy	Segments	Branch
95.1%	3	`y`
95.7%	3	`x`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes58.0ms (0.6%)

Memory

2.8MiB live, 78.5MiB allocated

Counts

38 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

32.0ms	(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))
13.0ms	y
11.0ms	x

Results

Accuracy	Segments	Branch
91.5%	4	`y`
82.5%	2	`(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))`
93.8%	3	`x`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes17.0ms (0.2%)

Memory

-12.2MiB live, 29.9MiB allocated

Counts

37 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

15.0ms

Results

Accuracy	Segments	Branch
90.6%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes12.0ms (0.1%)

Memory

26.8MiB live, 26.8MiB allocated

Counts

33 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
90.5%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes12.0ms (0.1%)

Memory

-8.7MiB live, 27.3MiB allocated

Counts

30 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
90.5%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes18.0ms (0.2%)

Memory

11.9MiB live, 49.4MiB allocated

Counts

24 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

9.0ms	x
7.0ms	y

Results

Accuracy	Segments	Branch
86.0%	3	`y`
89.1%	3	`x`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes9.0ms (0.1%)

Memory

-16.6MiB live, 20.8MiB allocated

Counts

21 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
87.6%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes7.0ms (0.1%)

Memory

22.8MiB live, 22.8MiB allocated

Counts

18 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
86.3%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes11.0ms (0.1%)

Memory

-23.9MiB live, 19.0MiB allocated

Counts

14 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
86.2%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes11.0ms (0.1%)

Memory

-8.7MiB live, 29.2MiB allocated

Counts

12 → 2

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	y
4.0ms	x

Results

Accuracy	Segments	Branch
81.5%	2	`y`
82.7%	2	`x`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes8.0ms (0.1%)

Memory

20.1MiB live, 20.1MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
69.6%	2	`y`
47.1%	1	`(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))`
76.1%	2	`x`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes5.0ms (0%)

Memory

11.8MiB live, 11.8MiB allocated

Counts

4 → 4

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
69.1%	3	`y`
71.9%	4	`x`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes15.0ms (0.2%)

Memory

-24.8MiB live, 13.6MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

3 calls:

12.0ms	x
2.0ms	y
1.0ms	(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
37.5%	2	`(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))`
45.6%	2	`y`
42.9%	3	`x`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes4.0ms (0%)

Memory

11.6MiB live, 11.6MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
25.5%	1	`(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))`
25.5%	1	`x`
25.5%	1	`y`

Compiler

Compiled 19 to 13 computations (31.6% saved)

bsearch33.0ms (0.3%)

Memory

-8.5MiB live, 29.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
32.0ms	-2.002976569924832e+162	-1.884024877304347e+160

Samples

27.0ms

112×

valid

Compiler

Compiled 237 to 154 computations (35% saved)

Precisions

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

ival-mult: 2.0ms (50% of total)

ival-div: 1.0ms (25% of total)

ival-add: 1.0ms (25% of total)

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

exact: 0.0ms (0% of total)

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

bsearch28.0ms (0.3%)

Memory

-8.0MiB live, 37.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
25.0ms	-1.5536561175438555e-261	-9.911360130046944e-270
1.0ms	-2.002976569924832e+162	-1.884024877304347e+160

Samples

8.0ms

144×

valid

Compiler

Compiled 516 to 334 computations (35.3% saved)

Precisions

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

ival-mult: 3.0ms (60.4% of total)

ival-div: 1.0ms (20.1% of total)

ival-add: 1.0ms (20.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch19.0ms (0.2%)

Memory

-3.2MiB live, 35.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	-2.495066950160377e-10	-7.79340138520182e-24
1.0ms	-2.002976569924832e+162	-1.884024877304347e+160

Samples

9.0ms

160×

valid

Compiler

Compiled 516 to 364 computations (29.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 3.0ms (54% of total)

ival-add: 2.0ms (36% of total)

ival-div: 1.0ms (18% of total)

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

exact: 0.0ms (0% of total)

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

bsearch19.0ms (0.2%)

Memory

20.7MiB live, 54.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	-1.2769775795844708e-73	-8.375758078826368e-78
1.0ms	-2.002976569924832e+162	-1.884024877304347e+160

Samples

11.0ms

128×

valid

Compiler

Compiled 440 to 314 computations (28.6% saved)

Precisions

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

ival-add: 5.0ms (57.6% of total)

ival-mult: 2.0ms (23% of total)

ival-div: 1.0ms (11.5% 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

7.0MiB live, 7.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-1.2769775795844708e-73	-8.375758078826368e-78
1.0ms	-2.002976569924832e+162	-1.884024877304347e+160

Compiler

Compiled 408 to 306 computations (25% saved)

bsearch2.0ms (0%)

Memory

6.7MiB live, 6.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-1.2769775795844708e-73	-8.375758078826368e-78
1.0ms	-2.002976569924832e+162	-1.884024877304347e+160

Compiler

Compiled 366 to 285 computations (22.1% saved)

bsearch14.0ms (0.1%)

Memory

-1.9MiB live, 33.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	-1.2769775795844708e-73	-8.375758078826368e-78
1.0ms	-2.002976569924832e+162	-1.884024877304347e+160

Samples

8.0ms

96×

valid

Compiler

Compiled 351 to 300 computations (14.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 4.0ms (68% of total)

ival-div: 1.0ms (17% of total)

ival-add: 1.0ms (17% 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

7.2MiB live, 7.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-1.2769775795844708e-73	-8.375758078826368e-78
1.0ms	-2.002976569924832e+162	-1.884024877304347e+160

Compiler

Compiled 327 to 276 computations (15.6% saved)

bsearch2.0ms (0%)

Memory

6.3MiB live, 6.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-1.2769775795844708e-73	-8.375758078826368e-78
1.0ms	-2.002976569924832e+162	-1.884024877304347e+160

Compiler

Compiled 237 to 201 computations (15.2% saved)

bsearch8.0ms (0.1%)

Memory

-40.7MiB live, 6.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-1.2769775795844708e-73	-8.375758078826368e-78
7.0ms	-2.002976569924832e+162	-1.884024877304347e+160

Compiler

Compiled 223 to 194 computations (13% saved)

bsearch1.0ms (0%)

Memory

3.2MiB live, 3.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-1.2769775795844708e-73	-8.375758078826368e-78

Compiler

Compiled 132 to 110 computations (16.7% saved)

bsearch13.0ms (0.1%)

Memory

-3.1MiB live, 35.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	-2.3573580333290577e-34	-4.643130415407356e-36

Samples

6.0ms

112×

valid

Compiler

Compiled 111 to 98 computations (11.7% saved)

Precisions

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

ival-mult: 2.0ms (51.1% of total)

ival-div: 1.0ms (25.5% of total)

ival-add: 1.0ms (25.5% of total)

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

exact: 0.0ms (0% of total)

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

bsearch43.0ms (0.4%)

Memory

7.1MiB live, 126.9MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	3.234373673925652e-67	1.1056407743868182e-60
16.0ms	-5.348446351935015e-178	-4.2653892663259055e-190
7.0ms	-4.643130415407356e-36	-2.2151363577043974e-36

Samples

22.0ms

384×

valid

Compiler

Compiled 289 to 302 computations (-4.5% saved)

Precisions

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

ival-mult: 8.0ms (57% of total)

ival-add: 3.0ms (21.4% of total)

ival-div: 2.0ms (14.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch18.0ms (0.2%)

Memory

12.5MiB live, 50.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	1.8007871271525294e-9	25.078183136728484

Samples

9.0ms

160×

valid

Compiler

Compiled 130 to 134 computations (-3.1% saved)

Precisions

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

ival-mult: 3.0ms (55% of total)

ival-div: 1.0ms (18.3% of total)

ival-add: 1.0ms (18.3% of total)

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

exact: 0.0ms (0% of total)

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

simplify29.0ms (0.3%)

Memory

14.5MiB live, 91.7MiB allocated

Algorithm

1×	egg-herbie

Rules

24×	`-commutative-binary64-.f64`
8×	`+-commutative-binary64-+.f64`
2×	`1-exp-binary32-exp.f32`
2×	`1-exp-binary64-exp.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	113	1008
1	132	1008

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (/.f64 (*.f64 (/.f64 x (+.f64 y x)) y) (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))
(*.f64 (/.f64 x (+.f64 y x)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x)))
(if (<=.f64 x #s(literal -81999999999999999598804870000796908246865296682917498646701082473776851320525997480973245935979023657602177336487250090640671628296070080286320595147108315561984 binary64)) (.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))) (.f64 (/.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) (/.f64 x (+.f64 y x))))
(if (<=.f64 x #s(literal -81999999999999999598804870000796908246865296682917498646701082473776851320525997480973245935979023657602177336487250090640671628296070080286320595147108315561984 binary64)) (.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))) (if (<=.f64 x #s(literal -7137681160693359/594806763391113225119224999259960224052504080663757783622308743726376262864161749418067325798462540235919489516077189220181834098217962283116332232440957850313188336178983949577074563933719094748095678312940574882427099482751152035262839576139463233204818042181657565129506139525873664 binary64)) (.f64 y (/.f64 (/.f64 x (+.f64 y x)) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)))) (/.f64 (/.f64 x (+.f64 y x)) (.f64 #s(approx (/ (+ y x) y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 y x))))))
(if (<=.f64 x #s(literal -81999999999999999598804870000796908246865296682917498646701082473776851320525997480973245935979023657602177336487250090640671628296070080286320595147108315561984 binary64)) (.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))) (if (<=.f64 x #s(literal -290142196707511/4835703278458516698824704 binary64)) (.f64 (/.f64 y (.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) #s(approx (/ x (+ y x)) #s(literal 1 binary64))) (.f64 (/.f64 y (*.f64 #s(approx (+ 1 (+ y x)) (+.f64 y #s(literal 1 binary64))) (+.f64 y x))) (/.f64 x (+.f64 y x)))))
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#s(approx (/ (/ x (+ y x)) (* (/ (+ y x) y) (+ 1 (+ y x)))) #s(approx (/ x (+ (* y y) y)) (/.f64 x y)))

Outputs
(/.f64 (/.f64 (*.f64 (/.f64 x (+.f64 y x)) y) (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))
(*.f64 (/.f64 x (+.f64 y x)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x)))
(*.f64 (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x)) (/.f64 x (+.f64 y x)))
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(if (<=.f64 x #s(literal -81999999999999999598804870000796908246865296682917498646701082473776851320525997480973245935979023657602177336487250090640671628296070080286320595147108315561984 binary64)) (/.f64 #s(approx (/ (* (/ x (+ y x)) y) (+ 1 (+ y x))) (/.f64 y x)) (+.f64 y x)) (if (<=.f64 x #s(literal -8311106783444703/8148143905337944345073782753637512644205873574663745002544561797417525199053346824733589504 binary64)) (.f64 (/.f64 y (.f64 #s(approx (+ 1 (+ y x)) (+.f64 #s(literal 1 binary64) x)) (+.f64 y x))) #s(approx (/ x (+ y x)) #s(literal 1 binary64))) #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (fma.f64 y y y)))))
(if (<=.f64 x #s(literal -81999999999999999598804870000796908246865296682917498646701082473776851320525997480973245935979023657602177336487250090640671628296070080286320595147108315561984 binary64)) (/.f64 #s(approx (/ (* (/ x (+ y x)) y) (+ 1 (+ y x))) (/.f64 y x)) (+.f64 y x)) (if (<=.f64 x #s(literal -8311106783444703/8148143905337944345073782753637512644205873574663745002544561797417525199053346824733589504 binary64)) #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (fma.f64 x x x))) #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (fma.f64 y y y)))))
(if (<=.f64 x #s(literal -81999999999999999598804870000796908246865296682917498646701082473776851320525997480973245935979023657602177336487250090640671628296070080286320595147108315561984 binary64)) #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 y x) x)) (if (<=.f64 x #s(literal -8311106783444703/8148143905337944345073782753637512644205873574663745002544561797417525199053346824733589504 binary64)) #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (fma.f64 x x x))) #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (fma.f64 y y y)))))
(if (<=.f64 x #s(literal -8311106783444703/8148143905337944345073782753637512644205873574663745002544561797417525199053346824733589504 binary64)) #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (fma.f64 x x x))) #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (fma.f64 y y y))))
(if (<=.f64 x #s(literal -5378326025377723/23384026197294446691258957323460528314494920687616 binary64)) #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (.f64 x x))) #s(approx (/ ( x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (fma.f64 y y y))))
(if (<=.f64 x #s(literal -6884257312483485/1496577676626844588240573268701473812127674924007424 binary64)) #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (.f64 x x))) (if (<=.f64 x #s(literal -2978361235183769/291996199527820493993034982764818644793166624463907835557068321145553610701355352736378419924311769585833107812710042067884077102168028031888170324462221708048127659159056956805303948303782641664 binary64)) #s(approx (/ ( x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (.f64 y y))) (if (<=.f64 x #s(literal 2504221618884729/7588550360256754183279148073529370729071901715047420004889892225542594864082845696 binary64)) #s(approx (/ (/ x (+ y x)) ( (/ (+ y x) y) (+ 1 (+ y x)))) #s(approx (/ x (+ (* y y) y)) (/.f64 x y))) #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (*.f64 y y))))))
(if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (/ x (+ y x)) (* (/ (+ y x) y) (+ 1 (+ y x)))) #s(approx (/ x (+ (* y y) y)) (/.f64 x y))) #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (*.f64 y y))))
#s(approx (/ (/ x (+ y x)) (* (/ (+ y x) y) (+ 1 (+ y x)))) #s(approx (/ x (+ (* y y) y)) (/.f64 x y)))

soundness1.3s (12.7%)

Memory

-36.0MiB live, 1 174.4MiB allocated

Rules

9 846×	`lower-fma.f64`
9 846×	`lower-fma.f32`
8 720×	`lower-fma.f64`
8 720×	`lower-fma.f32`
7 780×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	245
0	57	233
1	280	233
2	2529	233
0	8943	233
0	33	240
0	55	226
1	263	220
2	2438	220
0	8155	220
0	9	43
0	15	37
1	76	37
2	666	37
0	8864	37
0	422	2494
1	1483	2406
2	6308	2382
0	8318	2161
0	850	13204
1	3025	12769
0	8023	11695
0	904	12981
1	3162	12502
0	8075	11575
0	827	13131
1	2946	12453
0	8189	11535

Stop Event

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

Compiler

Compiled 3 511 to 1 171 computations (66.6% saved)

preprocess107.0ms (1%)

Memory: 17.1MiB live, 172.4MiB allocated
Compiler: Compiled 1 206 to 268 computations (77.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze36.0ms (0.3%)

sample783.0ms (7.7%)

explain107.0ms (1%)

preprocess449.0ms (4.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify325.0ms (3.2%)

localize28.0ms (0.3%)

series19.0ms (0.2%)

simplify308.0ms (3%)

rewrite529.0ms (5.2%)

eval202.0ms (2%)

prune416.0ms (4.1%)

simplify162.0ms (1.6%)

localize128.0ms (1.3%)

series97.0ms (0.9%)

simplify198.0ms (1.9%)

rewrite245.0ms (2.4%)

eval451.0ms (4.4%)

prune286.0ms (2.8%)

simplify172.0ms (1.7%)

localize86.0ms (0.8%)

series94.0ms (0.9%)

simplify212.0ms (2.1%)

rewrite200.0ms (2%)

eval348.0ms (3.4%)

prune324.0ms (3.2%)

simplify153.0ms (1.5%)

localize104.0ms (1%)

series51.0ms (0.5%)

simplify344.0ms (3.4%)

rewrite376.0ms (3.7%)

eval318.0ms (3.1%)

prune596.0ms (5.8%)

regimes84.0ms (0.8%)

regimes46.0ms (0.5%)

regimes64.0ms (0.6%)

regimes55.0ms (0.5%)

regimes58.0ms (0.6%)

regimes17.0ms (0.2%)

regimes12.0ms (0.1%)

regimes12.0ms (0.1%)

regimes18.0ms (0.2%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

regimes11.0ms (0.1%)

regimes11.0ms (0.1%)

regimes8.0ms (0.1%)

regimes5.0ms (0%)

regimes15.0ms (0.2%)

regimes4.0ms (0%)

bsearch33.0ms (0.3%)

bsearch28.0ms (0.3%)

bsearch19.0ms (0.2%)

bsearch19.0ms (0.2%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch14.0ms (0.1%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch8.0ms (0.1%)

bsearch1.0ms (0%)

bsearch13.0ms (0.1%)

bsearch43.0ms (0.4%)

bsearch18.0ms (0.2%)

simplify29.0ms (0.3%)

soundness1.3s (12.7%)

preprocess107.0ms (1%)

end0.0ms (0%)

Profiling