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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze41.0ms (0.4%)

Memory

3.2MiB live, 40.5MiB 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)

sample974.0ms (9.7%)

Memory

47.0MiB live, 1 259.0MiB allocated

Samples

727.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 483.0ms

ival-mult: 240.0ms (49.7% of total)

ival-div: 143.0ms (29.6% of total)

ival-add: 85.0ms (17.6% of total)

ival-true: 6.0ms (1.2% of total)

exact: 5.0ms (1% of total)

ival-assert: 3.0ms (0.6% of total)

Bogosity

explain111.0ms (1.1%)

Memory

-33.2MiB live, 173.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
71	-	2	(1.4840330647379526e-127 1.5694386565423333e-194)	`(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(+.f64 (+.f64 x y) #s(literal 1 binary64))`
0	-	0	-	`(*.f64 x y)`
0	-	0	-	`y`
0	-	0	-	`(+.f64 x y)`
0	-	0	-	`(*.f64 (+.f64 x y) (+.f64 x y))`
0	-	0	-	`(.f64 (.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))`
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	28	0
↳	`(*.f64 x y)`	overflow	28
↳	`(.f64 (.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))`	overflow	156
↳	`(*.f64 (+.f64 x y) (+.f64 x y))`	overflow	125
`/.f64`	`(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))`	n/o	20	0
↳	`(.f64 (.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))`	overflow	156
↳	`(*.f64 (+.f64 x y) (+.f64 x y))`	overflow	125
`/.f64`	`(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))`	u/n	11	0
↳	`(*.f64 x y)`	underflow	21
`/.f64`	`(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))`	u/u	10	0
↳	`(*.f64 x y)`	underflow	21
↳	`(.f64 (.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))`	underflow	10
↳	`(*.f64 (+.f64 x y) (+.f64 x y))`	underflow	10

Confusion

	Predicted +	Predicted -
+	69	2
-	0	185

Precision

1.0

Recall

0.971830985915493

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	69	0	2
-	0	0	185

Precision?

1.0

Recall?

0.971830985915493

Freqs

test

number	freq
0	187
1	69

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

42.0ms

512×

valid

Compiler

Compiled 123 to 31 computations (74.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-add: 13.0ms (47.2% of total)

ival-mult: 11.0ms (40% of total)

ival-div: 3.0ms (10.9% of total)

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

exact: 0.0ms (0% of total)

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

preprocess427.0ms (4.3%)

Memory

29.1MiB live, 377.0MiB 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: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.9%	(/.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)

simplify393.0ms (3.9%)

Memory

15.4MiB live, 299.2MiB 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)

localize51.0ms (0.5%)

Memory

0.5MiB live, 37.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x y)
accuracy	0.01171875	(*.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	16.578326307985662	(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))

Samples

44.0ms

256×

valid

Compiler

Compiled 53 to 11 computations (79.2% saved)

Precisions

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

ival-mult: 5.0ms (55.7% of total)

ival-div: 2.0ms (22.3% of total)

ival-add: 2.0ms (22.3% of total)

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

exact: 0.0ms (0% of total)

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

series23.0ms (0.2%)

Memory

-12.5MiB live, 30.2MiB 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>) () ())) ())
#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 (* -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
7.0ms	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)))
3.0ms	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)))
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	@	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)))

simplify357.0ms (3.6%)

Memory

20.0MiB live, 211.6MiB 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))
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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)))

rewrite466.0ms (4.6%)

Memory

10.5MiB live, 390.7MiB 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)))

eval154.0ms (1.5%)

Memory: 7.3MiB live, 417.8MiB allocated
Compiler: Compiled 33 680 to 3 444 computations (89.8% saved)

prune52.0ms (0.5%)

Memory

-38.6MiB live, 109.8MiB allocated

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	1 067	17	1 084
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	1 067	18	1 085

Accuracy

100.0%

Counts

1 085 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	94.5%	(/.f64 (.f64 (/.f64 y (+.f64 y x)) x) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)))
▶	99.9%	(/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (/.f64 x (+.f64 y x))) (+.f64 y x))
▶	73.9%	(/.f64 (.f64 x y) (.f64 (fma.f64 (+.f64 y x) y (*.f64 (+.f64 y x) x)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))
✓	73.9%	(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))
	40.7%	(/.f64 (.f64 x y) (.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 y y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))
	39.3%	(/.f64 (.f64 x y) #s(approx ( (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 y y y) y)))
▶	36.1%	(/.f64 (.f64 x y) #s(approx ( (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 x x x) x)))
	73.7%	(/.f64 #s(literal -1 binary64) (/.f64 (.f64 (fma.f64 #s(literal -1 binary64) (+.f64 y x) #s(literal -1 binary64)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (.f64 y x)))
▶	77.8%	(.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))))
	99.8%	(.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))))
	94.4%	(.f64 (/.f64 y (.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) (/.f64 x (+.f64 y x)))
	99.9%	(*.f64 (/.f64 x (+.f64 y x)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x)))
	36.9%	#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))
	40.2%	#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))
	48.6%	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (fma.f64 x x x)))
	37.6%	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (*.f64 x x)))
	49.9%	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (fma.f64 y y y)))
▶	40.4%	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (*.f64 y y)))

Compiler

Compiled 489 to 299 computations (38.9% saved)

simplify290.0ms (2.9%)

Memory

-24.5MiB live, 168.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

17 200×	`lower-fma.f32`
17 196×	`lower-fma.f64`
3 382×	`lower-*.f32`
3 364×	`lower-*.f64`
3 266×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	273
0	60	262
1	155	262
2	363	262
3	907	262
4	3565	262
5	4196	262
6	4439	262
7	4490	262
8	4512	262
9	4528	262
10	5979	262
11	6237	262
12	6242	262
13	6243	262
14	6243	262
15	6374	262
16	6377	262
17	6380	262
18	6950	262
19	7835	262
20	7907	262
0	8043	255

Stop Event

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

Calls

Call 1

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

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

localize107.0ms (1.1%)

Memory

12.3MiB live, 129.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.015625	(*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))
accuracy	0.9401211537808194	(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)))
accuracy	3.165850430166071	(.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))))
accuracy	11.869719549600946	(/.f64 (*.f64 y x) (+.f64 y x))
accuracy	0	(*.f64 x y)
accuracy	0.0625	(.f64 (fma.f64 (+.f64 y x) y (.f64 (+.f64 y x) x)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))
accuracy	1.5038897356333614	(fma.f64 (+.f64 y x) y (*.f64 (+.f64 y x) x))
accuracy	16.578326307985662	(/.f64 (.f64 x y) (.f64 (fma.f64 (+.f64 y x) y (*.f64 (+.f64 y x) x)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))
accuracy	0	(*.f64 x y)
accuracy	0.046875	(*.f64 (fma.f64 x x x) x)
accuracy	16.578326307985662	(/.f64 (.f64 x y) #s(approx ( (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 x x x) x)))
accuracy	29.220255192564835	#s(approx (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 x x x) x))
accuracy	0	(*.f64 y y)
accuracy	6.612769298669613	(/.f64 x (*.f64 y y))
accuracy	37.43715017000237	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (*.f64 y y)))
accuracy	0.01171875	(/.f64 x (+.f64 y x))
accuracy	0.015625	(/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x)))
accuracy	0.03125	(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (/.f64 x (+.f64 y x)))
accuracy	0.0546875	(/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (/.f64 x (+.f64 y x))) (+.f64 y x))

Samples

57.0ms

256×

valid

Compiler

Compiled 260 to 32 computations (87.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-mult: 21.0ms (51.7% of total)

ival-div: 12.0ms (29.6% of total)

ival-add: 7.0ms (17.2% 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

-2.1MiB live, 110.6MiB allocated

Counts

21 → 480

Calls

Call 1

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

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

6 calls:

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

simplify242.0ms (2.4%)

Memory

6.3MiB live, 327.4MiB allocated

Algorithm

1×	egg-herbie

Rules

8 924×	`lower-fma.f64`
8 924×	`lower-fma.f32`
5 318×	`lower-+.f64`
5 318×	`lower-+.f32`
4 746×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1092	12933
1	3841	12336
0	8066	11607

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 464

Calls

Call 1

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

rewrite310.0ms (3.1%)

Memory

1.2MiB live, 279.7MiB allocated

Rules

6 238×	`lower-/.f32`
6 222×	`lower-/.f64`
3 406×	`lower-fma.f32`
3 402×	`lower-fma.f64`
2 714×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	229
0	60	202
1	297	202
2	2415	202
0	8374	202

Stop Event

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

Counts

21 → 1 483

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 (/.f64 y (+.f64 (+.f64 x y) #s(literal 1 binary64))) x) (*.f64 (+.f64 x y) (-.f64 y x))) (-.f64 y x))
(.f64 (/.f64 (.f64 (/.f64 y (+.f64 (+.f64 x y) #s(literal 1 binary64))) x) (fma.f64 x x (*.f64 (neg.f64 y) y))) (-.f64 x y))
(.f64 (/.f64 (.f64 (/.f64 y (+.f64 (+.f64 x y) #s(literal 1 binary64))) x) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x y) (*.f64 y y)))
(.f64 (/.f64 (.f64 (/.f64 y (+.f64 (+.f64 x y) #s(literal 1 binary64))) x) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (*.f64 y (-.f64 y x))))
(.f64 (/.f64 (.f64 (/.f64 x (+.f64 x y)) y) (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 x y) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (/.f64 x (+.f64 x y)) y) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (+.f64 x y)))
(.f64 (/.f64 (.f64 (/.f64 x (+.f64 x y)) y) (+.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 x y)))
(.f64 (/.f64 (.f64 (/.f64 x (+.f64 x y)) y) (+.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (+.f64 x y) (-.f64 (+.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 x (+.f64 (+.f64 x y) #s(literal 1 binary64))) (/.f64 y (+.f64 x y)))
(*.f64 (/.f64 y (+.f64 x y)) (/.f64 x (+.f64 (+.f64 x y) #s(literal 1 binary64))))
(.f64 (.f64 (/.f64 y (+.f64 (+.f64 x y) #s(literal 1 binary64))) x) (pow.f64 (+.f64 x y) #s(literal -1 binary64)))
(.f64 (pow.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (/.f64 x (+.f64 x y)) y))
(.f64 (pow.f64 (.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) (+.f64 x y)) #s(literal -1 binary64)) (*.f64 x y))
(.f64 (.f64 (/.f64 x (+.f64 x y)) y) (pow.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 x y) (pow.f64 (*.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) (+.f64 x y)) #s(literal -1 binary64)))
(*.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 (+.f64 x y) #s(literal 1 binary64))))
(*.f64 (/.f64 y (+.f64 (+.f64 x y) #s(literal 1 binary64))) (/.f64 x (+.f64 x y)))
(.f64 x (.f64 y (pow.f64 (*.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) (+.f64 x y)) #s(literal -1 binary64))))
(.f64 x (.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (/.f64 y (+.f64 (+.f64 x y) #s(literal 1 binary64)))))
(.f64 x (/.f64 y (.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) (+.f64 x y))))
(.f64 y (.f64 x (pow.f64 (*.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) (+.f64 x y)) #s(literal -1 binary64))))
(.f64 y (.f64 (pow.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 x (+.f64 x y))))
(*.f64 y (/.f64 (/.f64 x (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))
(.f64 y (/.f64 x (.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) (+.f64 x y))))
(pow.f64 (*.f64 (/.f64 (/.f64 (+.f64 x y) y) x) (+.f64 (+.f64 x y) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (*.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) (/.f64 (/.f64 (+.f64 x y) y) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) (+.f64 x y)) (.f64 x y)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (+.f64 x y) x) (/.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) y)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) y) (/.f64 (+.f64 x y) x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (/.f64 y (+.f64 (+.f64 x y) #s(literal 1 binary64))))) (neg.f64 (neg.f64 (+.f64 x y))))
(/.f64 (neg.f64 (*.f64 (/.f64 x (+.f64 x y)) (neg.f64 y))) (neg.f64 (fma.f64 #s(literal -1 binary64) (+.f64 x y) #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 (/.f64 y (+.f64 (+.f64 x y) #s(literal 1 binary64))) (neg.f64 x))) (neg.f64 (neg.f64 (+.f64 x y))))
(/.f64 (neg.f64 (*.f64 (/.f64 y (+.f64 (+.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64))) (neg.f64 (/.f64 (+.f64 x y) x)))
(/.f64 (neg.f64 (*.f64 (/.f64 x (+.f64 x y)) #s(literal 1 binary64))) (neg.f64 (/.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) y)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 y (+.f64 (+.f64 x y) #s(literal 1 binary64))) x))) (neg.f64 (neg.f64 (+.f64 x y))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 x (+.f64 x y)) y))) (neg.f64 (fma.f64 #s(literal -1 binary64) (+.f64 x y) #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 x y) (pow.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)))) (neg.f64 (+.f64 x y)))
(/.f64 (neg.f64 (.f64 (.f64 x y) #s(literal -1 binary64))) (neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (+.f64 x y) #s(literal -1 binary64)) (+.f64 x y))))
(/.f64 (neg.f64 (.f64 (neg.f64 x) (neg.f64 y))) (neg.f64 (.f64 (neg.f64 (+.f64 x y)) (fma.f64 #s(literal -1 binary64) (+.f64 x y) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (.f64 (neg.f64 x) #s(literal 1 binary64))) (neg.f64 (.f64 (neg.f64 (+.f64 x y)) (/.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) y))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (neg.f64 y))) (neg.f64 (.f64 (/.f64 (+.f64 x y) x) (fma.f64 #s(literal -1 binary64) (+.f64 x y) #s(literal -1 binary64)))))
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(/.f64 (/.f64 x (+.f64 x y)) (*.f64 (/.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) y) (+.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 #s(literal -1 binary64) (+.f64 x y) #s(literal -1 binary64)) (+.f64 x y)) (.f64 #s(literal -1 binary64) (*.f64 (/.f64 x (+.f64 x y)) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (+.f64 x y)) (.f64 (.f64 (neg.f64 x) y) (pow.f64 (*.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) (+.f64 x y)) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) (.f64 (.f64 (/.f64 x (+.f64 x y)) y) (pow.f64 (+.f64 x y) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 x y) #s(literal -1 binary64)) (*.f64 (neg.f64 y) (/.f64 x (pow.f64 (+.f64 x y) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) y) (*.f64 #s(literal 1 binary64) (/.f64 x (pow.f64 (+.f64 x y) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (+.f64 x y)) (.f64 (pow.f64 (.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) (+.f64 x y)) #s(literal -1 binary64)) (*.f64 (neg.f64 x) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 #s(literal -1 binary64) (+.f64 x y) #s(literal -1 binary64)) (+.f64 x y)) (.f64 (*.f64 (/.f64 x (+.f64 x y)) y) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 x y) #s(literal -1 binary64)) (*.f64 (/.f64 x (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (neg.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) y) (*.f64 (/.f64 x (pow.f64 (+.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (.f64 (.f64 (/.f64 x (+.f64 (+.f64 x y) #s(literal 1 binary64))) (/.f64 y (+.f64 x y))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) (*.f64 (/.f64 x (pow.f64 (+.f64 x y) #s(literal 2 binary64))) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 x y) (neg.f64 (+.f64 x y))) (.f64 (pow.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 x) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (.f64 (pow.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 x y) (/.f64 (/.f64 (+.f64 x y) y) x)) (.f64 (pow.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (fma.f64 #s(literal -1 binary64) (+.f64 x y) #s(literal -1 binary64)) (+.f64 x y)) (neg.f64 (+.f64 x y))) (.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) (+.f64 x y)) (neg.f64 (+.f64 x y))) (.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 (+.f64 x y)) (+.f64 x y)) (.f64 (*.f64 (neg.f64 x) y) (pow.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 (+.f64 x y)) (.f64 (fma.f64 #s(literal -1 binary64) (+.f64 x y) #s(literal -1 binary64)) (+.f64 x y))) (.f64 (.f64 (neg.f64 x) y) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 #s(literal -1 binary64) (+.f64 x y) #s(literal -1 binary64)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (.f64 (*.f64 (neg.f64 x) y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (.f64 (.f64 x y) (pow.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 #s(literal -1 binary64) (+.f64 x y) #s(literal -1 binary64)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (.f64 (*.f64 x y) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (/.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) y)) (.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 y (+.f64 (+.f64 x y) #s(literal 1 binary64))) x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 #s(literal -1 binary64) (+.f64 x y) #s(literal -1 binary64)) (+.f64 x y)) (.f64 (neg.f64 y) (/.f64 x (+.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 (/.f64 y (+.f64 (+.f64 x y) #s(literal 1 binary64))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (/.f64 (+.f64 x y) y) x) (+.f64 x y)) (pow.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) y) (/.f64 x (pow.f64 (+.f64 x y) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (fma.f64 #s(literal -1 binary64) (+.f64 x y) #s(literal -1 binary64)) (+.f64 x y)) (+.f64 x y)) (*.f64 (neg.f64 x) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) (+.f64 x y)) (neg.f64 (+.f64 x y))) (*.f64 (neg.f64 x) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (fma.f64 #s(literal -1 binary64) (+.f64 x y) #s(literal -1 binary64)) (+.f64 x y)) (/.f64 (/.f64 (+.f64 x y) y) x)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (/.f64 (+.f64 x y) y) x) (.f64 (fma.f64 #s(literal -1 binary64) (+.f64 x y) #s(literal -1 binary64)) (+.f64 x y))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (+.f64 x y) y) x) (pow.f64 (*.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) (+.f64 x y)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) y) (+.f64 x y)) (/.f64 x (+.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) (+.f64 x y)) (/.f64 (/.f64 (+.f64 x y) y) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) y) (/.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) x)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (.f64 (fma.f64 #s(literal -1 binary64) (+.f64 x y) #s(literal -1 binary64)) (+.f64 x y)) (/.f64 (/.f64 (+.f64 x y) y) x))))
(/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (/.f64 (/.f64 (+.f64 x y) y) x) (.f64 (fma.f64 #s(literal -1 binary64) (+.f64 x y) #s(literal -1 binary64)) (+.f64 x y)))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) (+.f64 x y)) (/.f64 (/.f64 (+.f64 x y) y) x)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) y) (/.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) x)))
(neg.f64 (/.f64 (.f64 (neg.f64 x) y) (.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))))
(neg.f64 (/.f64 (/.f64 (*.f64 (/.f64 y (+.f64 (+.f64 x y) #s(literal 1 binary64))) x) (neg.f64 (+.f64 x y))) (+.f64 x y)))
(neg.f64 (/.f64 (.f64 x y) (.f64 (fma.f64 #s(literal -1 binary64) (+.f64 x y) #s(literal -1 binary64)) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (*.f64 (/.f64 x (+.f64 (+.f64 x y) #s(literal 1 binary64))) (/.f64 y (+.f64 x y))) (neg.f64 (+.f64 x y))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (.f64 (fma.f64 #s(literal -1 binary64) (+.f64 x y) #s(literal -1 binary64)) (+.f64 x y)) (+.f64 x y))) (/.f64 (.f64 x y) (.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (+.f64 x y) #s(literal -1 binary64)) (+.f64 x y)) (+.f64 x y))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) (+.f64 x y)) (neg.f64 (+.f64 x y)))) (/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) (+.f64 x y)) (neg.f64 (+.f64 x y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 x y))) (/.f64 (*.f64 (/.f64 x (+.f64 (+.f64 x y) #s(literal 1 binary64))) (/.f64 y (+.f64 x y))) (neg.f64 (+.f64 x y))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (fma.f64 #s(literal -1 binary64) (+.f64 x y) #s(literal -1 binary64)) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) (/.f64 (.f64 x y) (*.f64 (fma.f64 #s(literal -1 binary64) (+.f64 x y) #s(literal -1 binary64)) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) y) (/.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) x))) #s(literal -1 binary64)))
(.f64 (/.f64 (pow.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (+.f64 x y) (-.f64 y x))) (-.f64 y x))
(.f64 (/.f64 (pow.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 x x (.f64 (neg.f64 y) y))) (-.f64 x y))
(.f64 (/.f64 (pow.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x y) (.f64 y y)))
(.f64 (/.f64 (pow.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (.f64 y (-.f64 y x))))
(.f64 (pow.f64 (.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) (+.f64 x y)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) (+.f64 x y)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 x y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) (+.f64 x y))))
(.f64 (pow.f64 (.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) (+.f64 x y)) #s(literal -1 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (pow.f64 (.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) (+.f64 x y)) #s(literal -1 binary64)))
(pow.f64 (exp.f64 (+.f64 (log1p.f64 (+.f64 x y)) (log.f64 (+.f64 x y)))) #s(literal -1 binary64))
(pow.f64 (.f64 (.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) (+.f64 x y)) (*.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) (+.f64 x y))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) (+.f64 x y)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (+.f64 x y) #s(literal -1 binary64)) (+.f64 x y))) #s(literal -1 binary64))
(pow.f64 (*.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) (+.f64 x y)) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (+.f64 x y))))
(/.f64 (neg.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64))) (fma.f64 #s(literal -1 binary64) (+.f64 x y) #s(literal -1 binary64)))
(/.f64 (neg.f64 (pow.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 x y)))
(/.f64 (pow.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 x y))
(/.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (+.f64 x y) #s(literal -1 binary64)) (+.f64 x y)))))
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal -1 binary64) (+.f64 x y) #s(literal -1 binary64)) (+.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) (pow.f64 (+.f64 x y) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (+.f64 x y) #s(literal -1 binary64)) (+.f64 x y))))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) (+.f64 x y)))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) (+.f64 x y))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (+.f64 x y)) (log.f64 (+.f64 x y))) #s(literal -1 binary64)))

eval723.0ms (7.2%)

Memory: 35.6MiB live, 606.0MiB allocated
Compiler: Compiled 76 957 to 7 106 computations (90.8% saved)

prune199.0ms (2%)

Memory

0.0MiB live, 229.2MiB allocated

Pruning

23 alts after pruning (18 fresh and 5 done)

	Pruned	Kept	Total
New	2 697	13	2 710
Fresh	7	5	12
Picked	1	4	5
Done	0	1	1
Total	2 705	23	2 728

Accuracy

100.0%

Counts

2 728 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(/.f64 (/.f64 x (+.f64 x y)) (*.f64 (/.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) y) (+.f64 x y)))
	94.5%	(/.f64 (.f64 (/.f64 y (+.f64 y x)) x) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)))
✓	99.9%	(/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (/.f64 x (+.f64 y x))) (+.f64 y x))
	51.8%	(/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) #s(approx (/ x (+ y x)) #s(literal 1 binary64))) (+.f64 y x))
	43.1%	(/.f64 (*.f64 #s(approx (/ y (+ 1 (+ y x))) #s(literal 1 binary64)) (/.f64 x (+.f64 y x))) (+.f64 y x))
✓	73.9%	(/.f64 (.f64 x y) (.f64 (fma.f64 (+.f64 y x) y (*.f64 (+.f64 y x) x)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))
✓	73.9%	(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))
	39.3%	(/.f64 (.f64 x y) #s(approx ( (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 y y y) y)))
✓	36.1%	(/.f64 (.f64 x y) #s(approx ( (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 x x x) x)))
	50.9%	(/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 y (+.f64 x #s(literal 1 binary64)))) (+.f64 y x))
	39.9%	(/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 y x)) (+.f64 y x))
▶	51.3%	(/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 x (+.f64 #s(literal 1 binary64) y))) (+.f64 y x))
▶	41.7%	(/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 x y)) (+.f64 y x))
	73.7%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) (+.f64 x y)) (neg.f64 (+.f64 x y))) (*.f64 (neg.f64 x) y)))
	46.1%	(.f64 y (/.f64 x #s(approx ( (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 x x x) x))))
	35.2%	#s(approx (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/.f64 (-.f64 y (/.f64 (.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) x)) (.f64 x x)))
▶	37.7%	#s(approx (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/.f64 (-.f64 x (/.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y)) (.f64 y y)))
▶	37.6%	#s(approx (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/.f64 y (*.f64 x x)))
	40.2%	#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))
	41.5%	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 x y) y))
	48.6%	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (fma.f64 x x x)))
	49.9%	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (fma.f64 y y y)))
✓	40.4%	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (*.f64 y y)))

Compiler

Compiled 491 to 325 computations (33.8% saved)

simplify169.0ms (1.7%)

Memory

17.4MiB live, 307.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

12 174×	`lower-fma.f32`
12 172×	`lower-fma.f64`
3 210×	`lower-+.f32`
3 202×	`lower-+.f64`
3 016×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	267
0	56	267
1	109	267
2	206	267
3	487	267
4	1563	267
5	6311	267
6	7819	267
0	8439	261

Stop Event

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

Calls

Call 1

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

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

localize143.0ms (1.4%)

Memory

8.6MiB live, 126.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.08203125	(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x)
accuracy	1.8972249546585713	(/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y)
accuracy	6.311843282202169	(/.f64 (-.f64 x (/.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y)) (.f64 y y))
accuracy	37.67850953899401	#s(approx (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/.f64 (-.f64 x (/.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y)) (.f64 y y)))
accuracy	0	(+.f64 #s(literal 1 binary64) y)
accuracy	0.0078125	(/.f64 x (+.f64 #s(literal 1 binary64) y))
accuracy	0.0546875	(/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 x (+.f64 #s(literal 1 binary64) y))) (+.f64 y x))
accuracy	31.275614568243306	#s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 x (+.f64 #s(literal 1 binary64) y)))
accuracy	0	(/.f64 x y)
accuracy	0	(+.f64 y x)
accuracy	0.0546875	(/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 x y)) (+.f64 y x))
accuracy	37.319507957920266	#s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 x y))
accuracy	0	(*.f64 x x)
accuracy	4.620608727702557	(/.f64 y (*.f64 x x))
accuracy	38.75469052366583	#s(approx (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/.f64 y (*.f64 x x)))
accuracy	0.0078125	(/.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) y)
accuracy	0.01171875	(/.f64 x (+.f64 x y))
accuracy	0.07421875	(*.f64 (/.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) y) (+.f64 x y))
accuracy	0.377423439359361	(/.f64 (/.f64 x (+.f64 x y)) (*.f64 (/.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) y) (+.f64 x y)))

Samples

101.0ms	232×	0	valid
18.0ms	12×	2	valid
5.0ms	12×	1	valid

Compiler

Compiled 233 to 30 computations (87.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 107.0ms

ival-div: 79.0ms (73.6% of total)

ival-mult: 17.0ms (15.8% of total)

ival-add: 8.0ms (7.5% of total)

adjust: 2.0ms (1.9% of total)

ival-sub: 1.0ms (0.9% of total)

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

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

exact: 0.0ms (0% of total)

series48.0ms (0.5%)

Memory

9.3MiB live, 83.2MiB allocated

Counts

21 → 468

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	x	@	inf	((/ x (+ x y)) (+ x y) (* (/ (+ (+ x y) 1) y) (+ x y)) (/ (+ (+ x y) 1) y) (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/ y (* x x)) (* x x) (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/ x y) (+ y x) (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/ x (+ 1 y)) (+ 1 y) (- x (/ (* (+ (* 3 x) 1) x) y)) (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/ (- x (/ (* (+ (* 3 x) 1) x) y)) (* y y)) (/ (* (+ (* 3 x) 1) x) y) (/ (/ x (+ x y)) (* (/ (+ (+ x y) 1) y) (+ x y))) (* (+ (* 3 x) 1) x))
6.0ms	y	@	0	((/ x (+ x y)) (+ x y) (* (/ (+ (+ x y) 1) y) (+ x y)) (/ (+ (+ x y) 1) y) (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/ y (* x x)) (* x x) (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/ x y) (+ y x) (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/ x (+ 1 y)) (+ 1 y) (- x (/ (* (+ (* 3 x) 1) x) y)) (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/ (- x (/ (* (+ (* 3 x) 1) x) y)) (* y y)) (/ (* (+ (* 3 x) 1) x) y) (/ (/ x (+ x y)) (* (/ (+ (+ x y) 1) y) (+ x y))) (* (+ (* 3 x) 1) x))
6.0ms	x	@	-inf	((/ x (+ x y)) (+ x y) (* (/ (+ (+ x y) 1) y) (+ x y)) (/ (+ (+ x y) 1) y) (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/ y (* x x)) (* x x) (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/ x y) (+ y x) (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/ x (+ 1 y)) (+ 1 y) (- x (/ (* (+ (* 3 x) 1) x) y)) (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/ (- x (/ (* (+ (* 3 x) 1) x) y)) (* y y)) (/ (* (+ (* 3 x) 1) x) y) (/ (/ x (+ x y)) (* (/ (+ (+ x y) 1) y) (+ x y))) (* (+ (* 3 x) 1) x))
5.0ms	x	@	0	((/ x (+ x y)) (+ x y) (* (/ (+ (+ x y) 1) y) (+ x y)) (/ (+ (+ x y) 1) y) (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/ y (* x x)) (* x x) (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/ x y) (+ y x) (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/ x (+ 1 y)) (+ 1 y) (- x (/ (* (+ (* 3 x) 1) x) y)) (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/ (- x (/ (* (+ (* 3 x) 1) x) y)) (* y y)) (/ (* (+ (* 3 x) 1) x) y) (/ (/ x (+ x y)) (* (/ (+ (+ x y) 1) y) (+ x y))) (* (+ (* 3 x) 1) x))
3.0ms	y	@	-inf	((/ x (+ x y)) (+ x y) (* (/ (+ (+ x y) 1) y) (+ x y)) (/ (+ (+ x y) 1) y) (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/ y (* x x)) (* x x) (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/ x y) (+ y x) (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/ x (+ 1 y)) (+ 1 y) (- x (/ (* (+ (* 3 x) 1) x) y)) (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/ (- x (/ (* (+ (* 3 x) 1) x) y)) (* y y)) (/ (* (+ (* 3 x) 1) x) y) (/ (/ x (+ x y)) (* (/ (+ (+ x y) 1) y) (+ x y))) (* (+ (* 3 x) 1) x))

simplify245.0ms (2.4%)

Memory

-31.3MiB live, 384.5MiB allocated

Algorithm

1×	egg-herbie

Rules

11 542×	`lower-fma.f64`
11 542×	`lower-fma.f32`
7 236×	`lower-*.f64`
7 236×	`lower-*.f32`
5 242×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	723	11940
1	2558	11396
0	8504	10544

Stop Event

1×	iter limit
1×	node limit

Counts

468 → 448

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

rewrite184.0ms (1.8%)

Memory

19.4MiB live, 403.7MiB allocated

Rules

5 556×	`lower-/.f32`
5 536×	`lower-/.f64`
4 462×	`lower-*.f32`
4 454×	`lower-*.f64`
2 406×	`lower--.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	238
0	56	238
1	266	232
2	2274	232
0	8796	232

Stop Event

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

Counts

21 → 766

Calls

Call 1

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

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

eval320.0ms (3.2%)

Memory: 2.8MiB live, 482.4MiB allocated
Compiler: Compiled 36 685 to 3 882 computations (89.4% saved)

prune62.0ms (0.6%)

Memory

-29.0MiB live, 192.4MiB allocated

Pruning

26 alts after pruning (19 fresh and 7 done)

	Pruned	Kept	Total
New	1 461	11	1 472
Fresh	5	8	13
Picked	2	3	5
Done	1	4	5
Total	1 469	26	1 495

Accuracy

100.0%

Counts

1 495 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.4%	(/.f64 (/.f64 x (+.f64 x y)) (*.f64 (/.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) y) (+.f64 x y)))
	43.1%	(/.f64 (/.f64 x (+.f64 x y)) (*.f64 #s(approx (/ (+ (+ x y) 1) y) #s(literal 1 binary64)) (+.f64 x y)))
	76.7%	(/.f64 (/.f64 x (+.f64 x y)) #s(approx (* (/ (+ (+ x y) 1) y) (+ x y)) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) x (+.f64 y #s(literal 1 binary64)))))
	51.3%	(/.f64 (/.f64 x (+.f64 x y)) #s(approx (* (/ (+ (+ x y) 1) y) (+ x y)) (+.f64 y #s(literal 1 binary64))))
▶	94.5%	(/.f64 (.f64 (/.f64 y (+.f64 y x)) x) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)))
✓	99.9%	(/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (/.f64 x (+.f64 y x))) (+.f64 y x))
▶	51.8%	(/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) #s(approx (/ x (+ y x)) #s(literal 1 binary64))) (+.f64 y x))
✓	73.9%	(/.f64 (.f64 x y) (.f64 (fma.f64 (+.f64 y x) y (*.f64 (+.f64 y x) x)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))
✓	73.9%	(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))
▶	39.3%	(/.f64 (.f64 x y) #s(approx ( (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 y y y) y)))
	50.9%	(/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 y (+.f64 x #s(literal 1 binary64)))) (+.f64 y x))
	39.9%	(/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 y x)) (+.f64 y x))
✓	41.7%	(/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 x y)) (+.f64 y x))
▶	12.7%	(/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) #s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 x) y x))) (+.f64 y x))
	73.7%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) (+.f64 x y)) (neg.f64 (+.f64 x y))) (*.f64 (neg.f64 x) y)))
	46.1%	(.f64 y (/.f64 x #s(approx ( (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 x x x) x))))
	35.2%	#s(approx (/ (/ x (+ x y)) (* (/ (+ (+ x y) 1) y) (+ x y))) (/.f64 (-.f64 y (/.f64 (.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) x)) (.f64 x x)))
	48.6%	#s(approx (/ (/ x (+ x y)) (* (/ (+ (+ x y) 1) y) (+ x y))) (/.f64 y (fma.f64 x x x)))
▶	49.9%	#s(approx (/ (/ x (+ x y)) (* (/ (+ (+ x y) 1) y) (+ x y))) (/.f64 x (fma.f64 y y y)))
	40.2%	#s(approx (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/.f64 (/.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y)) y) y))
	39.4%	#s(approx (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/.f64 (/.f64 y x) x))
	38.3%	#s(approx (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/.f64 (-.f64 x (/.f64 #s(approx (* (+ (* 3 x) 1) x) (.f64 (.f64 #s(literal 3 binary64) x) x)) y)) (*.f64 y y)))
✓	37.6%	#s(approx (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/.f64 y (*.f64 x x)))
	39.0%	#s(approx (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 x y))))
	41.5%	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 x y) y))
✓	40.4%	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (*.f64 y y)))

Compiler

Compiled 533 to 362 computations (32.1% saved)

simplify141.0ms (1.4%)

Memory

18.0MiB live, 175.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

9 416×	`lower-fma.f32`
9 412×	`lower-fma.f64`
3 298×	`lower-*.f32`
3 288×	`lower-*.f64`
2 226×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	280
0	60	280
1	154	280
2	378	280
3	898	280
4	3930	280
5	5089	280
6	6042	280
0	8098	276

Stop Event

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

Calls

Call 1

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

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

localize85.0ms (0.8%)

Memory

-1.9MiB live, 195.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.015625	(/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x)))
accuracy	0.03125	(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) #s(approx (/ x (+ y x)) #s(literal 1 binary64)))
accuracy	0.0546875	(/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) #s(approx (/ x (+ y x)) #s(literal 1 binary64))) (+.f64 y x))
accuracy	31.41582046980347	#s(approx (/ x (+ y x)) #s(literal 1 binary64))
accuracy	0	(*.f64 x y)
accuracy	0.04296875	(*.f64 (fma.f64 y y y) y)
accuracy	16.578326307985662	(/.f64 (.f64 x y) #s(approx ( (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 y y y) y)))
accuracy	28.164318480356393	#s(approx (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 y y y) y))
accuracy	0	(neg.f64 x)
accuracy	0.0546875	(/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) #s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 x) y x))) (+.f64 y x))
accuracy	31.275614568243306	#s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) #s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 x) y x)))
accuracy	33.05659000509458	#s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 x) y x))
accuracy	0	(fma.f64 y y y)
accuracy	3.5864193973213383	(/.f64 x (fma.f64 y y y))
accuracy	31.42128953862548	#s(approx (/ (/ x (+ x y)) (* (/ (+ (+ x y) 1) y) (+ x y))) (/.f64 x (fma.f64 y y y)))
accuracy	0.015625	(/.f64 y (+.f64 y x))
accuracy	0.015625	(*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))
accuracy	3.5126046009258585	(/.f64 (.f64 (/.f64 y (+.f64 y x)) x) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)))
accuracy	7.816684830648203	(*.f64 (/.f64 y (+.f64 y x)) x)

Samples

65.0ms

256×

valid

Compiler

Compiled 230 to 34 computations (85.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-div: 22.0ms (46.5% of total)

ival-mult: 16.0ms (33.8% of total)

ival-add: 8.0ms (16.9% of total)

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

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

exact: 0.0ms (0% of total)

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

series56.0ms (0.6%)

Memory

-12.8MiB live, 62.1MiB allocated

Counts

22 → 492

Calls

Call 1

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

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

Calls

6 calls:

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

simplify251.0ms (2.5%)

Memory

27.1MiB live, 370.9MiB allocated

Algorithm

1×	egg-herbie

Rules

10 620×	`lower-fma.f64`
10 620×	`lower-fma.f32`
6 566×	`lower-*.f64`
6 566×	`lower-*.f32`
4 606×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1022	12765
1	3547	12110
0	8434	11295

Stop Event

1×	iter limit
1×	node limit

Counts

492 → 473

Calls

Call 1

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

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

rewrite194.0ms (1.9%)

Memory

9.1MiB live, 272.3MiB allocated

Rules

7 062×	`lower-/.f32`
7 048×	`lower-/.f64`
3 628×	`lower-fma.f32`
3 624×	`lower-fma.f64`
2 926×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	253
0	60	249
1	310	245
2	2658	245
0	8977	245

Stop Event

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

Counts

22 → 826

Calls

Call 1

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

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

eval340.0ms (3.4%)

Memory: -12.0MiB live, 559.9MiB allocated
Compiler: Compiled 49 709 to 5 168 computations (89.6% saved)

prune64.0ms (0.6%)

Memory

-9.2MiB live, 195.0MiB allocated

Pruning

35 alts after pruning (25 fresh and 10 done)

	Pruned	Kept	Total
New	1 910	11	1 921
Fresh	0	14	14
Picked	2	3	5
Done	0	7	7
Total	1 912	35	1 947

Accuracy

100.0%

Counts

1 947 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.4%	(/.f64 (/.f64 x (+.f64 x y)) (*.f64 (/.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) y) (+.f64 x y)))
	43.1%	(/.f64 (/.f64 x (+.f64 x y)) (*.f64 #s(approx (/ (+ (+ x y) 1) y) #s(literal 1 binary64)) (+.f64 x y)))
	76.7%	(/.f64 (/.f64 x (+.f64 x y)) #s(approx (* (/ (+ (+ x y) 1) y) (+ x y)) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) x (+.f64 y #s(literal 1 binary64)))))
	51.3%	(/.f64 (/.f64 x (+.f64 x y)) #s(approx (* (/ (+ (+ x y) 1) y) (+ x y)) (+.f64 y #s(literal 1 binary64))))
✓	94.5%	(/.f64 (.f64 (/.f64 y (+.f64 y x)) x) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)))
	74.8%	(/.f64 (.f64 (/.f64 y (+.f64 y x)) x) (.f64 #s(approx (+ 1 (+ y x)) (+.f64 x #s(literal 1 binary64))) (+.f64 y x)))
	62.0%	(/.f64 (.f64 (/.f64 y (+.f64 y x)) x) #s(approx ( (+ 1 (+ y x)) (+ y x)) (fma.f64 y y y)))
✓	99.9%	(/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (/.f64 x (+.f64 y x))) (+.f64 y x))
	69.5%	(/.f64 (.f64 #s(approx (/ y (+ y x)) #s(literal 1 binary64)) x) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)))
	5.3%	(/.f64 (*.f64 #s(approx (/ y (+ 1 (+ y x))) #s(literal 1 binary64)) #s(approx (/ x (+ y x)) #s(literal 1 binary64))) (+.f64 y x))
	69.7%	(/.f64 (.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) y) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 x y)) (+.f64 x y)))
✓	73.9%	(/.f64 (.f64 x y) (.f64 (fma.f64 (+.f64 y x) y (*.f64 (+.f64 y x) x)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))
✓	73.9%	(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))
	32.9%	(/.f64 (.f64 x y) #s(approx ( (* (+ x y) (+ x y)) (+ (+ x y) 1)) (.f64 #s(approx (+ ( y y) y) (*.f64 y y)) y)))
	51.7%	(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (+.f64 x y))) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 x y)) y))
	50.9%	(/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 y (+.f64 x #s(literal 1 binary64)))) (+.f64 y x))
	39.9%	(/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 y x)) (+.f64 y x))
✓	41.7%	(/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 x y)) (+.f64 y x))
✓	12.7%	(/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) #s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 x) y x))) (+.f64 y x))
	73.7%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) (+.f64 x y)) (neg.f64 (+.f64 x y))) (*.f64 (neg.f64 x) y)))
	51.7%	(*.f64 (/.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (+.f64 x y)) (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x y))))
	46.1%	(.f64 y (/.f64 x #s(approx ( (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 x x x) x))))
	50.9%	#s(approx (/ (/ x (+ x y)) (* (/ (+ (+ x y) 1) y) (+ x y))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y))
	35.2%	#s(approx (/ (/ x (+ x y)) (* (/ (+ (+ x y) 1) y) (+ x y))) (/.f64 (-.f64 y (/.f64 (.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) x)) (.f64 x x)))
	48.6%	#s(approx (/ (/ x (+ x y)) (* (/ (+ (+ x y) 1) y) (+ x y))) (/.f64 y (fma.f64 x x x)))
✓	49.9%	#s(approx (/ (/ x (+ x y)) (* (/ (+ (+ x y) 1) y) (+ x y))) (/.f64 x (fma.f64 y y y)))
	11.9%	#s(approx (/ (/ x (+ x y)) (* (/ (+ (+ x y) 1) y) (+ x y))) #s(approx (/ x (+ (* y y) y)) (/.f64 (fma.f64 (-.f64 (*.f64 x y) x) y x) y)))
	25.8%	#s(approx (/ (/ x (+ x y)) (* (/ (+ (+ x y) 1) y) (+ x y))) #s(approx (/ x (+ (* y y) y)) (/.f64 x y)))
	40.2%	#s(approx (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/.f64 (/.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y)) y) y))
	39.4%	#s(approx (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/.f64 (/.f64 y x) x))
	38.3%	#s(approx (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/.f64 (-.f64 x (/.f64 #s(approx (* (+ (* 3 x) 1) x) (.f64 (.f64 #s(literal 3 binary64) x) x)) y)) (*.f64 y y)))
✓	37.6%	#s(approx (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/.f64 y (*.f64 x x)))
	39.0%	#s(approx (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 x y))))
	41.5%	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 x y) y))
✓	40.4%	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (*.f64 y y)))

Compiler

Compiled 1 080 to 464 computations (57% saved)

regimes78.0ms (0.8%)

Memory

-1.7MiB live, 91.1MiB allocated

Counts

53 → 1

Calls

Call 1

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

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

Calls

3 calls:

47.0ms	x
15.0ms	y
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
99.9%	1	`x`
99.9%	1	`y`
99.9%	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

-13.8MiB live, 61.3MiB allocated

Counts

48 → 1

Calls

Call 1

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

33.0ms	y
13.0ms	x
11.0ms	(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	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)

regimes41.0ms (0.4%)

Memory

27.7MiB live, 65.4MiB allocated

Counts

47 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

14.0ms	y
13.0ms	x
11.0ms	(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
96.3%	2	`x`
96.2%	2	`y`
94.5%	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)

regimes16.0ms (0.2%)

Memory

-20.5MiB live, 22.4MiB allocated

Counts

40 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

14.0ms

Results

Accuracy	Segments	Branch
96.3%	2	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes34.0ms (0.3%)

Memory

8.7MiB live, 46.6MiB allocated

Counts

38 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

12.0ms	y
11.0ms	x
9.0ms	(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
86.2%	2	`(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))`
94.5%	3	`y`
92.2%	4	`x`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes12.0ms (0.1%)

Memory

15.4MiB live, 15.4MiB allocated

Counts

37 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
91.1%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes41.0ms (0.4%)

Memory

-23.1MiB live, 15.2MiB allocated

Counts

32 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

40.0ms

Results

Accuracy	Segments	Branch
90.8%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes10.0ms (0.1%)

Memory

19.4MiB live, 19.4MiB allocated

Counts

30 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
90.8%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes13.0ms (0.1%)

Memory

-20.4MiB live, 16.4MiB allocated

Counts

27 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
90.8%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes16.0ms (0.2%)

Memory

32.8MiB live, 32.8MiB allocated

Counts

25 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

7.0ms	x
7.0ms	y

Results

Accuracy	Segments	Branch
89.0%	3	`x`
85.1%	2	`y`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes19.0ms (0.2%)

Memory

-14.4MiB live, 31.2MiB allocated

Counts

24 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

11.0ms	x
6.0ms	(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
54.1%	2	`(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))`
85.6%	2	`x`

Compiler

Compiled 18 to 11 computations (38.9% saved)

regimes18.0ms (0.2%)

Memory

-3.5MiB live, 33.1MiB allocated

Counts

22 → 2

Calls

Call 1

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

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

Calls

2 calls:

10.0ms	x
7.0ms	y

Results

Accuracy	Segments	Branch
84.2%	2	`y`
84.5%	2	`x`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes6.0ms (0.1%)

Memory

11.6MiB live, 11.6MiB allocated

Counts

15 → 2

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
84.4%	2	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes34.0ms (0.3%)

Memory

-20.6MiB live, 17.5MiB allocated

Counts

13 → 2

Calls

Call 1

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

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

Calls

2 calls:

28.0ms	y
4.0ms	x

Results

Accuracy	Segments	Branch
84.1%	3	`y`
83.3%	2	`x`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes5.0ms (0%)

Memory

7.9MiB live, 7.9MiB allocated

Counts

10 → 2

Calls

Call 1

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

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
82.6%	2	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes5.0ms (0.1%)

Memory

13.5MiB live, 13.5MiB allocated

Counts

5 → 2

Calls

Call 1

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

2 calls:

2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
71.7%	2	`y`
81.5%	2	`x`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes3.0ms (0%)

Memory

9.1MiB live, 9.1MiB allocated

Counts

4 → 4

Calls

Call 1

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

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 (+ x y)) (* (/ (+ (+ x y) 1) y) (+ x y))) #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

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
77.5%	4	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes37.0ms (0.4%)

Memory

-27.4MiB live, 11.7MiB allocated

Counts

2 → 2

Calls

Call 1

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

33.0ms	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
43.2%	2	`(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))`
48.5%	2	`y`
45.9%	3	`x`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes4.0ms (0%)

Memory

9.4MiB live, 9.4MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

1.0ms	y
1.0ms	x
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
25.8%	1	`(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))`
25.8%	1	`x`
25.8%	1	`y`

Compiler

Compiled 19 to 13 computations (31.6% saved)

bsearch12.0ms (0.1%)

Memory

15.4MiB live, 15.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	-2.247656450929957e+159	-8.430212744729437e+157

Samples

6.0ms

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)

bsearch1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-2.247656450929957e+159	-8.430212744729437e+157

Compiler

Compiled 237 to 154 computations (35% saved)

bsearch45.0ms (0.4%)

Memory

-13.5MiB live, 31.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	2.1103166358412594e+144	2.9423961677732958e+146
31.0ms	2.9226267568378314e-12	3.65864559143633e-9

Samples

13.0ms

240×

valid

Compiler

Compiled 442 to 315 computations (28.7% saved)

Precisions

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

ival-mult: 4.0ms (47.8% of total)

ival-add: 2.0ms (23.9% of total)

ival-div: 1.0ms (11.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch33.0ms (0.3%)

Memory

-5.5MiB live, 33.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
6.0ms	2.029236884614358e+79	2.906384018505457e+79
24.0ms	2.8610932302655804e-133	1.4840330647379526e-127

Samples

22.0ms

208×

valid

Compiler

Compiled 415 to 270 computations (34.9% saved)

Precisions

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

ival-mult: 4.0ms (55.2% of total)

ival-add: 2.0ms (27.6% of total)

ival-div: 1.0ms (13.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch35.0ms (0.3%)

Memory

-18.2MiB live, 20.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.1103166358412594e+144	2.9423961677732958e+146
13.0ms	3.676711767648835e-122	1.3067413152663825e-114

Samples

8.0ms

144×

valid

Compiler

Compiled 454 to 327 computations (28% saved)

Precisions

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

ival-mult: 3.0ms (58.9% of total)

ival-div: 1.0ms (19.6% of total)

ival-add: 1.0ms (19.6% of total)

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

4.0MiB live, 4.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.1103166358412594e+144	2.9423961677732958e+146
1.0ms	3.676711767648835e-122	1.3067413152663825e-114

Compiler

Compiled 418 to 318 computations (23.9% saved)

bsearch2.0ms (0%)

Memory

3.2MiB live, 3.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.1103166358412594e+144	2.9423961677732958e+146
1.0ms	3.676711767648835e-122	1.3067413152663825e-114

Compiler

Compiled 390 to 304 computations (22.1% saved)

bsearch19.0ms (0.2%)

Memory

25.2MiB live, 25.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	-1.5095077399482613e-117	-1.0066454188340572e-118
7.0ms	-1.7641958875762404e+148	-5.9183917531096145e+147

Samples

10.0ms

176×

valid

Compiler

Compiled 262 to 207 computations (21% saved)

Precisions

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

ival-mult: 3.0ms (49.2% of total)

ival-add: 2.0ms (32.8% of total)

ival-div: 1.0ms (16.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch38.0ms (0.4%)

Memory

-16.1MiB live, 23.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
36.0ms	-2.6131172005560806e-40	-2.899986616911018e-48

Samples

31.0ms

144×

valid

Compiler

Compiled 182 to 167 computations (8.2% saved)

Precisions

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

ival-mult: 3.0ms (59.8% of total)

ival-div: 1.0ms (19.9% of total)

ival-add: 1.0ms (19.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch34.0ms (0.3%)

Memory

-20.4MiB live, 22.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	-1.7339809752829211e+21	-369860221947226430.0

Samples

7.0ms

128×

valid

Compiler

Compiled 148 to 134 computations (9.5% saved)

Precisions

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

ival-mult: 2.0ms (43.9% of total)

ival-div: 1.0ms (22% of total)

ival-add: 1.0ms (22% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-1.7339809752829211e+21	-369860221947226430.0

Compiler

Compiled 132 to 126 computations (4.5% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-1.7339809752829211e+21	-369860221947226430.0

Compiler

Compiled 124 to 110 computations (11.3% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-2.6131172005560806e-40	-2.899986616911018e-48

Compiler

Compiled 146 to 122 computations (16.4% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-1.7339809752829211e+21	-369860221947226430.0

Compiler

Compiled 124 to 110 computations (11.3% saved)

bsearch44.0ms (0.4%)

Memory

6.1MiB live, 43.8MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
28.0ms	1.5694386565423333e-194	2.0233326635611407e-183
12.0ms	-4.355565368745927e-132	-8.266522326179922e-137
1.0ms	-1.7339809752829211e+21	-369860221947226430.0

Samples

30.0ms

288×

valid

Compiler

Compiled 314 to 326 computations (-3.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 5.0ms (50.2% of total)

ival-add: 3.0ms (30.1% of total)

ival-div: 2.0ms (20.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch15.0ms (0.1%)

Memory

28.7MiB live, 28.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.21183030292520733	1043217.6258666309

Samples

8.0ms

144×

valid

Compiler

Compiled 119 to 122 computations (-2.5% saved)

Precisions

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

ival-mult: 3.0ms (60.7% of total)

ival-div: 1.0ms (20.2% of total)

ival-add: 1.0ms (20.2% of total)

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

exact: 0.0ms (0% of total)

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

simplify66.0ms (0.7%)

Memory

-27.8MiB live, 51.0MiB allocated

Algorithm

1×	egg-herbie

Rules

28×	`-commutative-binary64-.f64`
10×	`+-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	139	1025
1	166	1025

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.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 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x)))
(if (<=.f64 x #s(literal -195000000000000003614350923025298352121102444248156938121201075636378342812212251997980385559607122288648255466268906181148325635201566013531580458149760466944 binary64)) (.f64 (/.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (+.f64 x y)) (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x y)))) (/.f64 (.f64 (/.f64 y (+.f64 y x)) x) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))))
(if (<=.f64 x #s(literal -195000000000000003614350923025298352121102444248156938121201075636378342812212251997980385559607122288648255466268906181148325635201566013531580458149760466944 binary64)) (.f64 (/.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (+.f64 x y)) (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x y)))) (.f64 (/.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) (/.f64 x (+.f64 y x))))
(if (<=.f64 y #s(literal 7891867750444299/77371252455336267181195264 binary64)) (/.f64 (.f64 (/.f64 y (+.f64 y x)) x) (.f64 #s(approx (+ 1 (+ y x)) (+.f64 x #s(literal 1 binary64))) (+.f64 y x))) (if (<=.f64 y #s(literal 289999999999999982971899272216792389784688460836220892228035071597950893721799583243662732359143156577731078400609772571980895277162316631394746368 binary64)) (/.f64 (.f64 #s(approx (/ y (+ y x)) #s(literal 1 binary64)) x) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) (/.f64 (*.f64 #s(approx (/ y (+ 1 (+ y x))) #s(literal 1 binary64)) (/.f64 x (+.f64 y x))) (+.f64 y x))))
(if (<=.f64 y #s(literal 5244537564530867/24973988402527937851052777838345330445988785141319769206873255677002973910558124960962448824507935769278615448971252983163583805434306282450321408 binary64)) (/.f64 (.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) #s(approx (/ x (+ y x)) #s(literal 1 binary64))) (+.f64 y x)) (if (<=.f64 y #s(literal 28999999999999999217874673251247609961461488715019992246745057957393695678398464 binary64)) (/.f64 (.f64 x y) (.f64 (.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) (/.f64 (*.f64 #s(approx (/ y (+ 1 (+ y x))) #s(literal 1 binary64)) (/.f64 x (+.f64 y x))) (+.f64 y x))))
(if (<=.f64 y #s(literal 8404072749667955/45427420268475430659332737993000283397102585042957378767593137448789955507087370207886940669610222847547657600391636120845912601788416 binary64)) (/.f64 (.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) #s(approx (/ x (+ y x)) #s(literal 1 binary64))) (+.f64 y x)) (if (<=.f64 y #s(literal 289999999999999982971899272216792389784688460836220892228035071597950893721799583243662732359143156577731078400609772571980895277162316631394746368 binary64)) (/.f64 (.f64 #s(approx (/ y (+ y x)) #s(literal 1 binary64)) x) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) (/.f64 (.f64 #s(approx (/ y (+ 1 (+ y x))) #s(literal 1 binary64)) (/.f64 x (+.f64 y x))) (+.f64 y x))))
(if (<=.f64 y #s(literal 8404072749667955/45427420268475430659332737993000283397102585042957378767593137448789955507087370207886940669610222847547657600391636120845912601788416 binary64)) (/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 y (+.f64 x #s(literal 1 binary64)))) (+.f64 y x)) (if (<=.f64 y #s(literal 289999999999999982971899272216792389784688460836220892228035071597950893721799583243662732359143156577731078400609772571980895277162316631394746368 binary64)) (/.f64 (.f64 #s(approx (/ y (+ y x)) #s(literal 1 binary64)) x) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) (/.f64 (*.f64 #s(approx (/ y (+ 1 (+ y x))) #s(literal 1 binary64)) (/.f64 x (+.f64 y x))) (+.f64 y x))))
(if (<=.f64 y #s(literal 8404072749667955/45427420268475430659332737993000283397102585042957378767593137448789955507087370207886940669610222847547657600391636120845912601788416 binary64)) (/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 y (+.f64 x #s(literal 1 binary64)))) (+.f64 y x)) (if (<=.f64 y #s(literal 289999999999999982971899272216792389784688460836220892228035071597950893721799583243662732359143156577731078400609772571980895277162316631394746368 binary64)) (/.f64 (.f64 #s(approx (/ y (+ y x)) #s(literal 1 binary64)) x) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) (/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 x y)) (+.f64 y x))))
(if (<=.f64 x #s(literal -17499999999999999437485831675276902038365910280529161893582458962909858125598687958135442165347019119912582706606965857471635063837966464864521027584 binary64)) (/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 y x)) (+.f64 y x)) (if (<=.f64 x #s(literal -2058429980915293/1419606883389857208104148062281258856159455782592418086487285545274686109596480318996466895925319463985864300012238628776434768805888 binary64)) (/.f64 (.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) y) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 x y)) (+.f64 x y))) #s(approx (/ (/ x (+ x y)) (* (/ (+ (+ x y) 1) y) (+ x y))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y))))
(if (<=.f64 x #s(literal -7846377169233351/98079714615416886934934209737619787751599303819750539264 binary64)) (/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 y (+.f64 x #s(literal 1 binary64)))) (+.f64 y x)) #s(approx (/ (/ x (+ x y)) (* (/ (+ (+ x y) 1) y) (+ x y))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)))
(if (<=.f64 x #s(literal -200000000000000000000 binary64)) (/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 y x)) (+.f64 y x)) #s(approx (/ (/ x (+ x y)) (* (/ (+ (+ x y) 1) y) (+ x y))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)))
(if (<=.f64 x #s(literal -200000000000000000000 binary64)) #s(approx (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/.f64 (/.f64 y x) x)) #s(approx (/ (/ x (+ x y)) (* (/ (+ (+ x y) 1) y) (+ x y))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)))
(if (<=.f64 x #s(literal -200000000000000000000 binary64)) #s(approx (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/.f64 (/.f64 y 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 -7846377169233351/98079714615416886934934209737619787751599303819750539264 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 -200000000000000000000 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 -200000000000000000000 binary64)) #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (.f64 x x))) (if (<=.f64 x #s(literal -1726202078382731/12786682062094304179739022253232809188346257992355721833919106906625522642205759980012773798148063113870651109873281527379754908382364816614564560896 binary64)) #s(approx (/ ( x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (.f64 y y))) (if (<=.f64 x #s(literal 7593269131518881/4898883310657342436947850401401639604522231782621865961233415550616320366316550245614411808808882209683752589725123921141977824503727074585042721378292777435812376133285876920625254286345394996247527424 binary64)) #s(approx (/ (/ x (+ x y)) ( (/ (+ (+ x y) 1) y) (+ x y))) #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 (+ x y)) (* (/ (+ (+ x y) 1) y) (+ x y))) #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 (+ x y)) (* (/ (+ (+ x y) 1) y) (+ x y))) #s(approx (/ x (+ (* y y) y)) (/.f64 x y)))

Outputs
(/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (/.f64 x (+.f64 y x))) (+.f64 y x))
(/.f64 (*.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 (+.f64 x y) #s(literal 1 binary64)))) (+.f64 x y))
(*.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 (+.f64 x y) #s(literal 1 binary64))) (+.f64 x y)) (/.f64 x (+.f64 x y)))
(if (<=.f64 x #s(literal -195000000000000003614350923025298352121102444248156938121201075636378342812212251997980385559607122288648255466268906181148325635201566013531580458149760466944 binary64)) (.f64 (/.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (+.f64 x y)) (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x y)))) (/.f64 (.f64 (/.f64 y (+.f64 y x)) x) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))))
(if (<=.f64 x #s(literal -195000000000000003614350923025298352121102444248156938121201075636378342812212251997980385559607122288648255466268906181148325635201566013531580458149760466944 binary64)) (.f64 (/.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (+.f64 x y)) (/.f64 y (+.f64 (+.f64 x y) #s(literal 1 binary64)))) (/.f64 (.f64 (/.f64 y (+.f64 x y)) x) (*.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) (+.f64 x y))))
(if (<=.f64 x #s(literal -195000000000000003614350923025298352121102444248156938121201075636378342812212251997980385559607122288648255466268906181148325635201566013531580458149760466944 binary64)) (.f64 (/.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (+.f64 x y)) (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x y)))) (.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 -195000000000000003614350923025298352121102444248156938121201075636378342812212251997980385559607122288648255466268906181148325635201566013531580458149760466944 binary64)) (.f64 (/.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (+.f64 x y)) (/.f64 y (+.f64 (+.f64 x y) #s(literal 1 binary64)))) (.f64 (/.f64 y (*.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) (+.f64 x y))) (/.f64 x (+.f64 x y))))
(if (<=.f64 y #s(literal 7891867750444299/77371252455336267181195264 binary64)) (/.f64 (.f64 (/.f64 y (+.f64 y x)) x) (.f64 #s(approx (+ 1 (+ y x)) (+.f64 x #s(literal 1 binary64))) (+.f64 y x))) (if (<=.f64 y #s(literal 289999999999999982971899272216792389784688460836220892228035071597950893721799583243662732359143156577731078400609772571980895277162316631394746368 binary64)) (/.f64 (.f64 #s(approx (/ y (+ y x)) #s(literal 1 binary64)) x) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) (/.f64 (*.f64 #s(approx (/ y (+ 1 (+ y x))) #s(literal 1 binary64)) (/.f64 x (+.f64 y x))) (+.f64 y x))))
(if (<=.f64 y #s(literal 7891867750444299/77371252455336267181195264 binary64)) (/.f64 (.f64 (/.f64 y (+.f64 x y)) x) (.f64 #s(approx (+ 1 (+ y x)) (+.f64 x #s(literal 1 binary64))) (+.f64 x y))) (if (<=.f64 y #s(literal 289999999999999982971899272216792389784688460836220892228035071597950893721799583243662732359143156577731078400609772571980895277162316631394746368 binary64)) (/.f64 (.f64 #s(approx (/ y (+ y x)) #s(literal 1 binary64)) x) (.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) (+.f64 x y))) (/.f64 (*.f64 #s(approx (/ y (+ 1 (+ y x))) #s(literal 1 binary64)) (/.f64 x (+.f64 x y))) (+.f64 x y))))
(if (<=.f64 y #s(literal 5244537564530867/24973988402527937851052777838345330445988785141319769206873255677002973910558124960962448824507935769278615448971252983163583805434306282450321408 binary64)) (/.f64 (.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) #s(approx (/ x (+ y x)) #s(literal 1 binary64))) (+.f64 y x)) (if (<=.f64 y #s(literal 28999999999999999217874673251247609961461488715019992246745057957393695678398464 binary64)) (/.f64 (.f64 x y) (.f64 (.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) (/.f64 (*.f64 #s(approx (/ y (+ 1 (+ y x))) #s(literal 1 binary64)) (/.f64 x (+.f64 y x))) (+.f64 y x))))
(if (<=.f64 y #s(literal 5244537564530867/24973988402527937851052777838345330445988785141319769206873255677002973910558124960962448824507935769278615448971252983163583805434306282450321408 binary64)) (/.f64 (.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (/.f64 y (+.f64 (+.f64 x y) #s(literal 1 binary64)))) (+.f64 x y)) (if (<=.f64 y #s(literal 28999999999999999217874673251247609961461488715019992246745057957393695678398464 binary64)) (/.f64 (.f64 x y) (.f64 (.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) (/.f64 (*.f64 #s(approx (/ y (+ 1 (+ y x))) #s(literal 1 binary64)) (/.f64 x (+.f64 x y))) (+.f64 x y))))
(if (<=.f64 y #s(literal 8404072749667955/45427420268475430659332737993000283397102585042957378767593137448789955507087370207886940669610222847547657600391636120845912601788416 binary64)) (/.f64 (.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) #s(approx (/ x (+ y x)) #s(literal 1 binary64))) (+.f64 y x)) (if (<=.f64 y #s(literal 289999999999999982971899272216792389784688460836220892228035071597950893721799583243662732359143156577731078400609772571980895277162316631394746368 binary64)) (/.f64 (.f64 #s(approx (/ y (+ y x)) #s(literal 1 binary64)) x) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) (/.f64 (.f64 #s(approx (/ y (+ 1 (+ y x))) #s(literal 1 binary64)) (/.f64 x (+.f64 y x))) (+.f64 y x))))
(if (<=.f64 y #s(literal 8404072749667955/45427420268475430659332737993000283397102585042957378767593137448789955507087370207886940669610222847547657600391636120845912601788416 binary64)) (/.f64 (.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (/.f64 y (+.f64 (+.f64 x y) #s(literal 1 binary64)))) (+.f64 x y)) (if (<=.f64 y #s(literal 289999999999999982971899272216792389784688460836220892228035071597950893721799583243662732359143156577731078400609772571980895277162316631394746368 binary64)) (/.f64 (.f64 #s(approx (/ y (+ y x)) #s(literal 1 binary64)) x) (.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) (+.f64 x y))) (/.f64 (.f64 #s(approx (/ y (+ 1 (+ y x))) #s(literal 1 binary64)) (/.f64 x (+.f64 x y))) (+.f64 x y))))
(if (<=.f64 y #s(literal 8404072749667955/45427420268475430659332737993000283397102585042957378767593137448789955507087370207886940669610222847547657600391636120845912601788416 binary64)) (/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 y (+.f64 x #s(literal 1 binary64)))) (+.f64 y x)) (if (<=.f64 y #s(literal 289999999999999982971899272216792389784688460836220892228035071597950893721799583243662732359143156577731078400609772571980895277162316631394746368 binary64)) (/.f64 (.f64 #s(approx (/ y (+ y x)) #s(literal 1 binary64)) x) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) (/.f64 (*.f64 #s(approx (/ y (+ 1 (+ y x))) #s(literal 1 binary64)) (/.f64 x (+.f64 y x))) (+.f64 y x))))
(if (<=.f64 y #s(literal 8404072749667955/45427420268475430659332737993000283397102585042957378767593137448789955507087370207886940669610222847547657600391636120845912601788416 binary64)) (/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 y (+.f64 x #s(literal 1 binary64)))) (+.f64 x y)) (if (<=.f64 y #s(literal 289999999999999982971899272216792389784688460836220892228035071597950893721799583243662732359143156577731078400609772571980895277162316631394746368 binary64)) (/.f64 (.f64 #s(approx (/ y (+ y x)) #s(literal 1 binary64)) x) (.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) (+.f64 x y))) (/.f64 (*.f64 #s(approx (/ y (+ 1 (+ y x))) #s(literal 1 binary64)) (/.f64 x (+.f64 x y))) (+.f64 x y))))
(if (<=.f64 y #s(literal 8404072749667955/45427420268475430659332737993000283397102585042957378767593137448789955507087370207886940669610222847547657600391636120845912601788416 binary64)) (/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 y (+.f64 x #s(literal 1 binary64)))) (+.f64 y x)) (if (<=.f64 y #s(literal 289999999999999982971899272216792389784688460836220892228035071597950893721799583243662732359143156577731078400609772571980895277162316631394746368 binary64)) (/.f64 (.f64 #s(approx (/ y (+ y x)) #s(literal 1 binary64)) x) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) (/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 x y)) (+.f64 y x))))
(if (<=.f64 y #s(literal 8404072749667955/45427420268475430659332737993000283397102585042957378767593137448789955507087370207886940669610222847547657600391636120845912601788416 binary64)) (/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 y (+.f64 x #s(literal 1 binary64)))) (+.f64 x y)) (if (<=.f64 y #s(literal 289999999999999982971899272216792389784688460836220892228035071597950893721799583243662732359143156577731078400609772571980895277162316631394746368 binary64)) (/.f64 (.f64 #s(approx (/ y (+ y x)) #s(literal 1 binary64)) x) (.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) (+.f64 x y))) (/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 x y)) (+.f64 x y))))
(if (<=.f64 x #s(literal -17499999999999999437485831675276902038365910280529161893582458962909858125598687958135442165347019119912582706606965857471635063837966464864521027584 binary64)) (/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 y x)) (+.f64 y x)) (if (<=.f64 x #s(literal -2058429980915293/1419606883389857208104148062281258856159455782592418086487285545274686109596480318996466895925319463985864300012238628776434768805888 binary64)) (/.f64 (.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) y) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 x y)) (+.f64 x y))) #s(approx (/ (/ x (+ x y)) (* (/ (+ (+ x y) 1) y) (+ x y))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y))))
(if (<=.f64 x #s(literal -17499999999999999437485831675276902038365910280529161893582458962909858125598687958135442165347019119912582706606965857471635063837966464864521027584 binary64)) (/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 y x)) (+.f64 x y)) (if (<=.f64 x #s(literal -2058429980915293/1419606883389857208104148062281258856159455782592418086487285545274686109596480318996466895925319463985864300012238628776434768805888 binary64)) (/.f64 (.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) y) (.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) (+.f64 x y))) #s(approx (/ (/ x (+ x y)) (* (/ (+ (+ x y) 1) y) (+ x y))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y))))
(if (<=.f64 x #s(literal -7846377169233351/98079714615416886934934209737619787751599303819750539264 binary64)) (/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 y (+.f64 x #s(literal 1 binary64)))) (+.f64 y x)) #s(approx (/ (/ x (+ x y)) (* (/ (+ (+ x y) 1) y) (+ x y))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)))
(if (<=.f64 x #s(literal -7846377169233351/98079714615416886934934209737619787751599303819750539264 binary64)) (/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 y (+.f64 x #s(literal 1 binary64)))) (+.f64 x y)) #s(approx (/ (/ x (+ x y)) (* (/ (+ (+ x y) 1) y) (+ x y))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)))
(if (<=.f64 x #s(literal -200000000000000000000 binary64)) (/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 y x)) (+.f64 y x)) #s(approx (/ (/ x (+ x y)) (* (/ (+ (+ x y) 1) y) (+ x y))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)))
(if (<=.f64 x #s(literal -200000000000000000000 binary64)) (/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 y x)) (+.f64 x y)) #s(approx (/ (/ x (+ x y)) (* (/ (+ (+ x y) 1) y) (+ x y))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)))
(if (<=.f64 x #s(literal -200000000000000000000 binary64)) #s(approx (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/.f64 (/.f64 y x) x)) #s(approx (/ (/ x (+ x y)) (* (/ (+ (+ x y) 1) y) (+ x y))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)))
(if (<=.f64 x #s(literal -200000000000000000000 binary64)) #s(approx (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/.f64 (/.f64 y 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 -7846377169233351/98079714615416886934934209737619787751599303819750539264 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 -200000000000000000000 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 -200000000000000000000 binary64)) #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (.f64 x x))) (if (<=.f64 x #s(literal -1726202078382731/12786682062094304179739022253232809188346257992355721833919106906625522642205759980012773798148063113870651109873281527379754908382364816614564560896 binary64)) #s(approx (/ ( x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (.f64 y y))) (if (<=.f64 x #s(literal 7593269131518881/4898883310657342436947850401401639604522231782621865961233415550616320366316550245614411808808882209683752589725123921141977824503727074585042721378292777435812376133285876920625254286345394996247527424 binary64)) #s(approx (/ (/ x (+ x y)) ( (/ (+ (+ x y) 1) y) (+ x y))) #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 (+ x y)) (* (/ (+ (+ x y) 1) y) (+ x y))) #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 (+ x y)) (* (/ (+ (+ x y) 1) y) (+ x y))) #s(approx (/ x (+ (* y y) y)) (/.f64 x y)))

soundness1.8s (18.3%)

Memory

2.5MiB live, 1 034.5MiB allocated

Rules

11 542×	`lower-fma.f64`
11 542×	`lower-fma.f32`
10 620×	`lower-fma.f64`
10 620×	`lower-fma.f32`
9 846×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	422	2494
1	1483	2406
2	6308	2382
0	8318	2161
0	723	11940
1	2558	11396
0	8504	10544
0	1022	12765
1	3547	12110
0	8434	11295
0	40	253
0	60	249
1	310	245
2	2658	245
0	8977	245
0	34	238
0	56	238
1	266	232
2	2274	232
0	8796	232
0	34	229
0	60	202
1	297	202
2	2415	202
0	8374	202
0	1092	12933
1	3841	12336
0	8066	11607
0	9	43
0	15	37
1	76	37
2	666	37
0	8864	37

Stop Event

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

Compiler

Compiled 2 544 to 951 computations (62.6% saved)

preprocess136.0ms (1.4%)

Memory: 22.4MiB live, 341.7MiB allocated
Compiler: Compiled 1 258 to 322 computations (74.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze41.0ms (0.4%)

sample974.0ms (9.7%)

explain111.0ms (1.1%)

preprocess427.0ms (4.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify393.0ms (3.9%)

localize51.0ms (0.5%)

series23.0ms (0.2%)

simplify357.0ms (3.6%)

rewrite466.0ms (4.6%)

eval154.0ms (1.5%)

prune52.0ms (0.5%)

simplify290.0ms (2.9%)

localize107.0ms (1.1%)

series51.0ms (0.5%)

simplify242.0ms (2.4%)

rewrite310.0ms (3.1%)

eval723.0ms (7.2%)

prune199.0ms (2%)

simplify169.0ms (1.7%)

localize143.0ms (1.4%)

series48.0ms (0.5%)

simplify245.0ms (2.4%)

rewrite184.0ms (1.8%)

eval320.0ms (3.2%)

prune62.0ms (0.6%)

simplify141.0ms (1.4%)

localize85.0ms (0.8%)

series56.0ms (0.6%)

simplify251.0ms (2.5%)

rewrite194.0ms (1.9%)

eval340.0ms (3.4%)

prune64.0ms (0.6%)

regimes78.0ms (0.8%)

regimes64.0ms (0.6%)

regimes41.0ms (0.4%)

regimes16.0ms (0.2%)

regimes34.0ms (0.3%)

regimes12.0ms (0.1%)

regimes41.0ms (0.4%)

regimes10.0ms (0.1%)

regimes13.0ms (0.1%)

regimes16.0ms (0.2%)

regimes19.0ms (0.2%)

regimes18.0ms (0.2%)

regimes6.0ms (0.1%)

regimes34.0ms (0.3%)

regimes5.0ms (0%)

regimes5.0ms (0.1%)

regimes3.0ms (0%)

regimes37.0ms (0.4%)

regimes4.0ms (0%)

bsearch12.0ms (0.1%)

bsearch1.0ms (0%)

bsearch45.0ms (0.4%)

bsearch33.0ms (0.3%)

bsearch35.0ms (0.3%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch19.0ms (0.2%)

bsearch38.0ms (0.4%)

bsearch34.0ms (0.3%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch44.0ms (0.4%)

bsearch15.0ms (0.1%)

simplify66.0ms (0.7%)

soundness1.8s (18.3%)

preprocess136.0ms (1.4%)

end0.0ms (0%)

Profiling