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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze44.0ms (0.4%)

Memory

4.6MiB live, 43.4MiB 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)

sample808.0ms (7.8%)

Memory

16.9MiB live, 1 031.0MiB allocated

Samples

513.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 326.0ms

ival-mult: 153.0ms (46.9% of total)

ival-add: 83.0ms (25.4% of total)

ival-div: 78.0ms (23.9% of total)

ival-true: 5.0ms (1.5% of total)

exact: 5.0ms (1.5% of total)

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

Bogosity

explain111.0ms (1.1%)

Memory

-7.2MiB live, 171.2MiB 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

49.0ms

512×

valid

Compiler

Compiled 123 to 31 computations (74.8% saved)

Precisions

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

ival-mult: 9.0ms (51.6% of total)

ival-add: 5.0ms (28.6% of total)

ival-div: 3.0ms (17.2% of total)

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

exact: 0.0ms (0% of total)

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

preprocess464.0ms (4.5%)

Memory

11.7MiB live, 464.9MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(sort x y)

Compiler

Compiled 17 to 9 computations (47.1% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.1MiB live, 1.1MiB 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)

simplify467.0ms (4.5%)

Memory

-16.6MiB live, 431.3MiB 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)

localize24.0ms (0.2%)

Memory

10.8MiB live, 49.0MiB 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

17.0ms

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: 4.0ms (46.8% of total)

ival-add: 2.0ms (23.4% of total)

ival-div: 1.0ms (11.7% of total)

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

exact: 0.0ms (0% of total)

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

series20.0ms (0.2%)

Memory

2.1MiB live, 37.8MiB allocated

Counts

5 → 120

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	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)))
2.0ms	y	@	inf	((/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (* x y) (* (+ x y) (+ x y)) (+ x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1)))

simplify292.0ms (2.8%)

Memory

0.3MiB live, 325.2MiB 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	2157

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

rewrite610.0ms (5.9%)

Memory

15.1MiB live, 291.4MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	43
0	15	37
1	76	37
2	666	37
0	8864	33

Stop Event

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

Counts

5 → 822

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

eval142.0ms (1.4%)

Memory: -15.9MiB live, 264.7MiB allocated
Compiler: Compiled 33 094 to 3 456 computations (89.6% saved)

prune36.0ms (0.3%)

Memory

27.8MiB live, 105.1MiB allocated

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	1 071	17	1 088
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	1 071	18	1 089

Accuracy

100.0%

Counts

1 089 → 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)))
	90.2%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (*.f64 (/.f64 x (pow.f64 (+.f64 y x) #s(literal 2 binary64))) y)))
▶	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 487 to 299 computations (38.6% saved)

simplify302.0ms (2.9%)

Memory

-19.7MiB live, 283.8MiB 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))

localize93.0ms (0.9%)

Memory

42.5MiB live, 229.4MiB 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

68.0ms

256×

valid

Compiler

Compiled 260 to 32 computations (87.7% saved)

Precisions

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

ival-mult: 28.0ms (53.8% of total)

ival-div: 14.0ms (26.9% of total)

ival-add: 9.0ms (17.3% of total)

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

exact: 0.0ms (0% of total)

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

series104.0ms (1%)

Memory

-27.1MiB live, 87.9MiB 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>) () ())
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#s(alt (/ (+ 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)) (taylor -inf x) (#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>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
43.0ms	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))))
25.0ms	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))))
6.0ms	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	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))))

simplify268.0ms (2.6%)

Memory

-3.4MiB live, 340.9MiB 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	11605

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 464

Calls

Call 1

Inputs
(/ y (+ 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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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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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))

rewrite293.0ms (2.8%)

Memory

-14.6MiB live, 429.4MiB 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	185

Stop Event

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

Counts

21 → 1 491

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

eval781.0ms (7.6%)

Memory: 25.5MiB live, 680.0MiB allocated
Compiler: Compiled 76 510 to 7 130 computations (90.7% saved)

prune113.0ms (1.1%)

Memory

22.8MiB live, 222.4MiB allocated

Pruning

22 alts after pruning (17 fresh and 5 done)

	Pruned	Kept	Total
New	2 706	12	2 718
Fresh	7	5	12
Picked	1	4	5
Done	0	1	1
Total	2 714	22	2 736

Accuracy

100.0%

Counts

2 736 → 22

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)))
▶	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 469 to 311 computations (33.7% saved)

simplify232.0ms (2.2%)

Memory

-18.7MiB live, 232.6MiB 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) y #s(literal 1 binary64)) y) x)
cost-diff	0	(/.f64 (-.f64 y (/.f64 (.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) x)) (.f64 x x))
cost-diff	0	#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)))
cost-diff	128	(-.f64 y (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) x))
cost-diff	0	(+.f64 x #s(literal 1 binary64))
cost-diff	0	(/.f64 y (+.f64 x #s(literal 1 binary64)))
cost-diff	0	#s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 y (+.f64 x #s(literal 1 binary64))))
cost-diff	0	(/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 y (+.f64 x #s(literal 1 binary64)))) (+.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

13 132×	`lower-fma.f32`
13 130×	`lower-fma.f64`
3 592×	`lower-+.f32`
3 584×	`lower-+.f64`
3 156×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	267
0	54	267
1	107	267
2	199	267
3	461	267
4	1560	267
5	5603	267
6	7333	267
0	8067	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 y (+.f64 x #s(literal 1 binary64)))) (+.f64 y x))
#s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 y (+.f64 x #s(literal 1 binary64))))
(/.f64 y (+.f64 x #s(literal 1 binary64)))
y
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(+.f64 y x)
#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)))
(/.f64 (-.f64 y (/.f64 (.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) x)) (.f64 x x))
(-.f64 y (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) x))
y
(/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) x)
(*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y)
(fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64))
#s(literal 3 binary64)
#s(literal 1 binary64)
x
(*.f64 x x)

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

localize80.0ms (0.8%)

Memory

5.8MiB live, 161.3MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.07421875	(*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y)
accuracy	3.3399549949433838	(/.f64 (-.f64 y (/.f64 (.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) x)) (.f64 x x))
accuracy	3.562473851439459	(/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) x)
accuracy	38.85396919217249	#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)))
accuracy	0	(+.f64 x #s(literal 1 binary64))
accuracy	0.0078125	(/.f64 y (+.f64 x #s(literal 1 binary64)))
accuracy	0.0546875	(/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 y (+.f64 x #s(literal 1 binary64)))) (+.f64 y x))
accuracy	31.538544042616593	#s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 y (+.f64 x #s(literal 1 binary64))))
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

52.0ms	241×	0	valid
3.0ms	7×	2	valid
3.0ms	8×	1	valid

Compiler

Compiled 233 to 29 computations (87.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-div: 17.0ms (50.1% of total)

ival-add: 7.0ms (20.6% of total)

ival-mult: 7.0ms (20.6% of total)

adjust: 1.0ms (2.9% of total)

ival-sub: 1.0ms (2.9% of total)

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

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

exact: 0.0ms (0% of total)

series51.0ms (0.5%)

Memory

-6.9MiB live, 110.7MiB 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 y (+.f64 x #s(literal 1 binary64)))) (+.f64 y x)) (patch (/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 y (+.f64 x #s(literal 1 binary64)))) (+.f64 y x)) #<representation:binary64>) () ())
#s(alt #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 y (+.f64 x #s(literal 1 binary64)))) (patch #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 y (+.f64 x #s(literal 1 binary64)))) #<representation:binary64>) () ())
#s(alt (/.f64 y (+.f64 x #s(literal 1 binary64))) (patch (/.f64 y (+.f64 x #s(literal 1 binary64))) #<representation:binary64>) () ())
#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation:binary64>) () ())
#s(alt (-.f64 y (/.f64 (.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) x)) (patch (-.f64 y (/.f64 (.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) x)) #<representation:binary64>) () ())
#s(alt #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))) (patch #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))) #<representation:binary64>) () ())
#s(alt (/.f64 (-.f64 y (/.f64 (.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) x)) (.f64 x x)) (patch (/.f64 (-.f64 y (/.f64 (.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) x)) (.f64 x x)) #<representation:binary64>) () ())
#s(alt (/.f64 (.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) x) (patch (/.f64 (.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) x) #<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) y #s(literal 1 binary64)) y) (patch (.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) #<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>) () ())) ())
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#s(alt (/ (* y (+ 1 (* 3 y))) x) (taylor -inf x) (#s(alt (/.f64 (.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) x) (patch (/.f64 (.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) x) #<representation:binary64>) () ())) ())
#s(alt (/ (* y (+ 1 (* 3 y))) x) (taylor -inf x) (#s(alt (/.f64 (.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) x) (patch (/.f64 (.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) x) #<representation:binary64>) () ())) ())
#s(alt (/ (* y (+ 1 (* 3 y))) x) (taylor -inf x) (#s(alt (/.f64 (.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) x) (patch (/.f64 (.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) x) #<representation:binary64>) () ())) ())
#s(alt (/ (* y (+ 1 (* 3 y))) x) (taylor -inf x) (#s(alt (/.f64 (.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) x) (patch (/.f64 (.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) x) #<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>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
9.0ms	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))) (/ y (+ x 1)) (+ x 1) (- y (/ (* (+ (* 3 y) 1) y) x)) (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/ (- y (/ (* (+ (* 3 y) 1) y) x)) (* x x)) (/ (* (+ (* 3 y) 1) y) x) (/ (/ x (+ x y)) (* (/ (+ (+ x y) 1) y) (+ x y))) (* (+ (* 3 y) 1) y))
6.0ms	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))) (/ y (+ x 1)) (+ x 1) (- y (/ (* (+ (* 3 y) 1) y) x)) (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/ (- y (/ (* (+ (* 3 y) 1) y) x)) (* x x)) (/ (* (+ (* 3 y) 1) y) x) (/ (/ x (+ x y)) (* (/ (+ (+ x y) 1) y) (+ x y))) (* (+ (* 3 y) 1) y))
4.0ms	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))) (/ y (+ x 1)) (+ x 1) (- y (/ (* (+ (* 3 y) 1) y) x)) (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/ (- y (/ (* (+ (* 3 y) 1) y) x)) (* x x)) (/ (* (+ (* 3 y) 1) y) x) (/ (/ x (+ x y)) (* (/ (+ (+ x y) 1) y) (+ x y))) (* (+ (* 3 y) 1) y))
4.0ms	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))) (/ y (+ x 1)) (+ x 1) (- y (/ (* (+ (* 3 y) 1) y) x)) (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/ (- y (/ (* (+ (* 3 y) 1) y) x)) (* x x)) (/ (* (+ (* 3 y) 1) y) x) (/ (/ x (+ x y)) (* (/ (+ (+ x y) 1) y) (+ x y))) (* (+ (* 3 y) 1) y))
3.0ms	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))) (/ y (+ x 1)) (+ x 1) (- y (/ (* (+ (* 3 y) 1) y) x)) (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/ (- y (/ (* (+ (* 3 y) 1) y) x)) (* x x)) (/ (* (+ (* 3 y) 1) y) x) (/ (/ x (+ x y)) (* (/ (+ (+ x y) 1) y) (+ x y))) (* (+ (* 3 y) 1) y))

simplify371.0ms (3.6%)

Memory

-1.9MiB live, 483.6MiB allocated

Algorithm

1×	egg-herbie

Rules

11 006×	`lower-fma.f64`
11 006×	`lower-fma.f32`
7 272×	`lower-*.f64`
7 272×	`lower-*.f32`
5 254×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	725	11964
1	2556	11413
0	8562	10569

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

rewrite236.0ms (2.3%)

Memory

40.7MiB live, 417.6MiB allocated

Rules

5 586×	`lower-/.f32`
5 566×	`lower-/.f64`
4 596×	`lower-*.f32`
4 590×	`lower-*.f64`
2 484×	`lower--.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	238
0	54	238
1	263	232
2	2264	232
0	8893	232

Stop Event

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

Counts

21 → 808

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

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

eval290.0ms (2.8%)

Memory: -4.0MiB live, 544.4MiB allocated
Compiler: Compiled 38 294 to 4 085 computations (89.3% saved)

prune65.0ms (0.6%)

Memory

-11.6MiB live, 167.0MiB allocated

Pruning

25 alts after pruning (17 fresh and 8 done)

	Pruned	Kept	Total
New	1 526	10	1 536
Fresh	5	7	12
Picked	1	4	5
Done	1	4	5
Total	1 533	25	1 558

Accuracy

100.0%

Counts

1 558 → 25

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))
▶	13.8%	(/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) #s(approx (/ y (+ x 1)) (fma.f64 (neg.f64 y) 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)))
▶	37.7%	#s(approx (/ (/ x (+ x y)) (* (/ (+ (+ x y) 1) y) (+ x y))) (/.f64 (-.f64 x (/.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y)) (.f64 y y)))
	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)))
	39.4%	#s(approx (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/.f64 (/.f64 y x) x))
	35.1%	#s(approx (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/.f64 (-.f64 y (/.f64 #s(approx (* (+ (* 3 y) 1) y) (.f64 (.f64 #s(literal 3 binary64) y) y)) x)) (*.f64 x x)))
✓	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))))
	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))
✓	40.4%	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (*.f64 y y)))

Compiler

Compiled 501 to 340 computations (32.1% saved)

simplify211.0ms (2%)

Memory

14.5MiB live, 246.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

11 764×	`lower-fma.f32`
11 758×	`lower-fma.f64`
3 822×	`lower-*.f32`
3 814×	`lower-*.f64`
3 204×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	293
0	67	293
1	143	293
2	303	293
3	633	293
4	2341	293
5	4753	293
6	6610	293
0	8541	287

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

localize105.0ms (1%)

Memory

-26.4MiB live, 169.3MiB 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 (/ (/ x (+ x y)) (* (/ (+ (+ x y) 1) y) (+ x y))) (/.f64 (-.f64 x (/.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y)) (.f64 y y)))
accuracy	0	(+.f64 x y)
accuracy	0.01171875	(/.f64 x (+.f64 x y))
accuracy	0.377423439359361	(/.f64 (/.f64 x (+.f64 x y)) #s(approx (* (/ (+ (+ x y) 1) y) (+ x y)) (+.f64 y #s(literal 1 binary64))))
accuracy	31.391320818297377	#s(approx (* (/ (+ (+ x y) 1) y) (+ x y)) (+.f64 y #s(literal 1 binary64)))
accuracy	0	(neg.f64 y)
accuracy	0.0546875	(/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) #s(approx (/ y (+ x 1)) (fma.f64 (neg.f64 y) x y))) (+.f64 y x))
accuracy	31.273976533706925	#s(approx (/ y (+ x 1)) (fma.f64 (neg.f64 y) x y))
accuracy	31.538544042616593	#s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) #s(approx (/ y (+ x 1)) (fma.f64 (neg.f64 y) x y)))
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

62.0ms	232×	0	valid
8.0ms	12×	2	valid
6.0ms	12×	1	valid

Compiler

Compiled 243 to 37 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-mult: 20.0ms (36.8% of total)

ival-div: 19.0ms (35% of total)

ival-add: 11.0ms (20.3% of total)

adjust: 2.0ms (3.7% of total)

ival-sub: 1.0ms (1.8% of total)

ival-neg: 1.0ms (1.8% of total)

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

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

exact: 0.0ms (0% of total)

series39.0ms (0.4%)

Memory

21.5MiB live, 65.6MiB 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 (/ y (+ x 1)) (fma.f64 (neg.f64 y) x y))) (+.f64 y x)) (patch (/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) #s(approx (/ y (+ x 1)) (fma.f64 (neg.f64 y) x y))) (+.f64 y x)) #<representation:binary64>) () ())
#s(alt #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) #s(approx (/ y (+ x 1)) (fma.f64 (neg.f64 y) x y))) (patch #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) #s(approx (/ y (+ x 1)) (fma.f64 (neg.f64 y) x y))) #<representation:binary64>) () ())
#s(alt #s(approx (/ y (+ x 1)) (fma.f64 (neg.f64 y) x y)) (patch #s(approx (/ y (+ x 1)) (fma.f64 (neg.f64 y) x y)) #<representation:binary64>) () ())
#s(alt (fma.f64 (neg.f64 y) x y) (patch (fma.f64 (neg.f64 y) x y) #<representation:binary64>) () ())
#s(alt (/.f64 (/.f64 x (+.f64 x y)) #s(approx (* (/ (+ (+ x y) 1) y) (+ x y)) (+.f64 y #s(literal 1 binary64)))) (patch (/.f64 (/.f64 x (+.f64 x y)) #s(approx (* (/ (+ (+ x y) 1) y) (+ x y)) (+.f64 y #s(literal 1 binary64)))) #<representation:binary64>) () ())
#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 #s(approx (* (/ (+ (+ x y) 1) y) (+ x y)) (+.f64 y #s(literal 1 binary64))) (patch #s(approx (* (/ (+ (+ x y) 1) y) (+ x y)) (+.f64 y #s(literal 1 binary64))) #<representation:binary64>) () ())
#s(alt (-.f64 x (/.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y)) (patch (-.f64 x (/.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y)) #<representation:binary64>) () ())
#s(alt #s(approx (/ (/ x (+ x y)) (* (/ (+ (+ x y) 1) y) (+ x y))) (/.f64 (-.f64 x (/.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y)) (.f64 y y))) (patch #s(approx (/ (/ x (+ x y)) (* (/ (+ (+ x y) 1) y) (+ x y))) (/.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 (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 (/.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 y) (patch (neg.f64 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>) () ())

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

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	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))) (/ y (+ x 1)) (+ (* (neg y) x) y) (/ (/ x (+ x y)) (* (/ (+ (+ x y) 1) y) (+ x y))) (/ x (+ x y)) (+ x y) (* (/ (+ (+ x y) 1) y) (+ x y)) (- x (/ (* (+ (* 3 x) 1) x) y)) (/ (/ x (+ x y)) (* (/ (+ (+ x y) 1) y) (+ x y))) (/ (* (+ (* 3 x) 1) x) y) (* (+ (* 3 x) 1) x) (/ (* (/ y (+ y x)) x) (* (+ 1 (+ y x)) (+ y x))) (neg y) (/ (- x (/ (* (+ (* 3 x) 1) x) y)) (* y y)))
3.0ms	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))) (/ y (+ x 1)) (+ (* (neg y) x) y) (/ (/ x (+ x y)) (* (/ (+ (+ x y) 1) y) (+ x y))) (/ x (+ x y)) (+ x y) (* (/ (+ (+ x y) 1) y) (+ x y)) (- x (/ (* (+ (* 3 x) 1) x) y)) (/ (/ x (+ x y)) (* (/ (+ (+ x y) 1) y) (+ x y))) (/ (* (+ (* 3 x) 1) x) y) (* (+ (* 3 x) 1) x) (/ (* (/ y (+ y x)) x) (* (+ 1 (+ y x)) (+ y x))) (neg y) (/ (- x (/ (* (+ (* 3 x) 1) x) y)) (* y y)))
3.0ms	y	@	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))) (/ y (+ x 1)) (+ (* (neg y) x) y) (/ (/ x (+ x y)) (* (/ (+ (+ x y) 1) y) (+ x y))) (/ x (+ x y)) (+ x y) (* (/ (+ (+ x y) 1) y) (+ x y)) (- x (/ (* (+ (* 3 x) 1) x) y)) (/ (/ x (+ x y)) (* (/ (+ (+ x y) 1) y) (+ x y))) (/ (* (+ (* 3 x) 1) x) y) (* (+ (* 3 x) 1) x) (/ (* (/ y (+ y x)) x) (* (+ 1 (+ y x)) (+ y x))) (neg y) (/ (- x (/ (* (+ (* 3 x) 1) x) y)) (* y y)))
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))) (/ y (+ x 1)) (+ (* (neg y) x) y) (/ (/ x (+ x y)) (* (/ (+ (+ x y) 1) y) (+ x y))) (/ x (+ x y)) (+ x y) (* (/ (+ (+ x y) 1) y) (+ x y)) (- x (/ (* (+ (* 3 x) 1) x) y)) (/ (/ x (+ x y)) (* (/ (+ (+ x y) 1) y) (+ x y))) (/ (* (+ (* 3 x) 1) x) y) (* (+ (* 3 x) 1) x) (/ (* (/ y (+ y x)) x) (* (+ 1 (+ y x)) (+ y x))) (neg y) (/ (- x (/ (* (+ (* 3 x) 1) x) y)) (* y y)))
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))) (/ y (+ x 1)) (+ (* (neg y) x) y) (/ (/ x (+ x y)) (* (/ (+ (+ x y) 1) y) (+ x y))) (/ x (+ x y)) (+ x y) (* (/ (+ (+ x y) 1) y) (+ x y)) (- x (/ (* (+ (* 3 x) 1) x) y)) (/ (/ x (+ x y)) (* (/ (+ (+ x y) 1) y) (+ x y))) (/ (* (+ (* 3 x) 1) x) y) (* (+ (* 3 x) 1) x) (/ (* (/ y (+ y x)) x) (* (+ 1 (+ y x)) (+ y x))) (neg y) (/ (- x (/ (* (+ (* 3 x) 1) x) y)) (* y y)))

simplify277.0ms (2.7%)

Memory

-10.2MiB live, 351.6MiB allocated

Algorithm

1×	egg-herbie

Rules

8 696×	`lower-fma.f64`
8 696×	`lower-fma.f32`
6 132×	`lower-*.f64`
6 132×	`lower-*.f32`
5 566×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	902	11815
1	3145	11286
0	8194	10470

Stop Event

1×	iter limit
1×	node limit

Counts

492 → 466

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

rewrite223.0ms (2.2%)

Memory

-0.7MiB live, 312.1MiB allocated

Rules

5 304×	`lower-/.f32`
5 288×	`lower-/.f64`
4 474×	`lower-*.f32`
4 466×	`lower-*.f64`
1 894×	`lower--.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	43	261
0	67	261
1	328	255
2	2900	255
0	8496	255

Stop Event

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

Counts

22 → 756

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

Outputs
(.f64 (/.f64 (.f64 x y) (*.f64 (+.f64 x y) (-.f64 y x))) (-.f64 y x))
(.f64 (/.f64 (.f64 x y) (fma.f64 x x (*.f64 (neg.f64 y) y))) (-.f64 x y))
(.f64 (/.f64 (.f64 x y) (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) (-.f64 (hypot.f64 y x) (*.f64 x y)))
(.f64 (/.f64 (.f64 x y) (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) (-.f64 (hypot.f64 x y) (*.f64 x y)))
(.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 (neg.f64 y) x)) (neg.f64 (neg.f64 (+.f64 x y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x y) (*.f64 x y))))
(/.f64 (neg.f64 x) (neg.f64 (/.f64 (+.f64 x y) y)))
(/.f64 (*.f64 x y) (+.f64 x y))
(/.f64 (*.f64 (neg.f64 y) x) (neg.f64 (+.f64 x y)))
(/.f64 (neg.f64 y) (neg.f64 (/.f64 (+.f64 x y) x)))
(/.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 y (.f64 (+.f64 x y) (-.f64 y x))) (-.f64 y x))
(.f64 (/.f64 y (fma.f64 x x (.f64 (neg.f64 y) y))) (-.f64 x y))
(.f64 (/.f64 y (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) (-.f64 (hypot.f64 y x) (.f64 x y)))
(.f64 (/.f64 y (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) (-.f64 (hypot.f64 x y) (.f64 x y)))
(*.f64 #s(literal -1 binary64) (/.f64 y (neg.f64 (+.f64 x y))))
(*.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)
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(/.f64 (-.f64 (.f64 (/.f64 x y) (.f64 y y)) (.f64 y (/.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y))) (pow.f64 y #s(literal 3 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 x y) (pow.f64 y #s(literal 3 binary64))) (.f64 y (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x))) (pow.f64 y #s(literal 4 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 x y) (.f64 (.f64 y y) (/.f64 y (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x)))) y) (.f64 y (.f64 (.f64 y y) (/.f64 y (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x)))))
(/.f64 (-.f64 (.f64 (/.f64 x y) (/.f64 (.f64 y y) (/.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y))) y) (.f64 y (/.f64 (.f64 y y) (/.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y))))
(/.f64 (-.f64 (.f64 (neg.f64 x) y) (.f64 (.f64 (neg.f64 y) y) (/.f64 (/.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y) y))) (.f64 (.f64 (neg.f64 y) y) y))
(/.f64 (-.f64 (.f64 (neg.f64 x) (.f64 (neg.f64 y) y)) (.f64 (.f64 (neg.f64 y) y) (/.f64 (.f64 (neg.f64 x) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) y))) (.f64 (.f64 (neg.f64 y) y) (.f64 (neg.f64 y) y)))
(/.f64 (-.f64 (.f64 (neg.f64 x) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (.f64 (.f64 (neg.f64 y) y) (.f64 (neg.f64 x) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))))) (.f64 (.f64 (neg.f64 y) y) (pow.f64 (neg.f64 y) #s(literal 3 binary64))))
(/.f64 (-.f64 (.f64 (neg.f64 x) (.f64 y y)) (.f64 (.f64 (neg.f64 y) y) (/.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y))) (.f64 (.f64 (neg.f64 y) y) (.f64 y y)))
(/.f64 (-.f64 (.f64 (neg.f64 x) (pow.f64 y #s(literal 3 binary64))) (.f64 (.f64 (neg.f64 y) y) (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x))) (.f64 (.f64 (neg.f64 y) y) (pow.f64 y #s(literal 3 binary64))))
(/.f64 (-.f64 (.f64 (neg.f64 x) (.f64 (.f64 y y) (/.f64 y (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x)))) (.f64 (.f64 (neg.f64 y) y) #s(literal 1 binary64))) (.f64 (.f64 (neg.f64 y) y) (.f64 (.f64 y y) (/.f64 y (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x)))))
(/.f64 (-.f64 (.f64 (neg.f64 x) (/.f64 (.f64 y y) (/.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y))) (.f64 (.f64 (neg.f64 y) y) #s(literal 1 binary64))) (.f64 (.f64 (neg.f64 y) y) (/.f64 (.f64 y y) (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y))))
(/.f64 (-.f64 y (.f64 (/.f64 (.f64 y y) x) (/.f64 (/.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y) y))) (.f64 (/.f64 (*.f64 y y) x) y))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 (neg.f64 y) y)) (.f64 (/.f64 (.f64 y y) x) (/.f64 (.f64 (neg.f64 x) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) y))) (.f64 (/.f64 (.f64 y y) x) (.f64 (neg.f64 y) y)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (.f64 (/.f64 (.f64 y y) x) (.f64 (neg.f64 x) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))))) (.f64 (/.f64 (.f64 y y) x) (pow.f64 (neg.f64 y) #s(literal 3 binary64))))
(/.f64 (-.f64 (.f64 y y) (.f64 (/.f64 (.f64 y y) x) (/.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y))) (.f64 (/.f64 (.f64 y y) x) (*.f64 y y)))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 (/.f64 (.f64 y y) x) (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x))) (.f64 (/.f64 (*.f64 y y) x) (pow.f64 y #s(literal 3 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (/.f64 y (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x)))) (.f64 (/.f64 (.f64 y y) x) #s(literal 1 binary64))) (.f64 (/.f64 (.f64 y y) x) (.f64 (.f64 y y) (/.f64 y (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x)))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (/.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y))) (.f64 (/.f64 (.f64 y y) x) #s(literal 1 binary64))) (.f64 (/.f64 (.f64 y y) x) (/.f64 (.f64 y y) (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y))))
(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 y y) (/.f64 (/.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y) y))) (pow.f64 y #s(literal 3 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (neg.f64 y) x) y) (.f64 (.f64 y y) (/.f64 (.f64 (neg.f64 x) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) y))) (.f64 (.f64 y y) (.f64 (neg.f64 y) y)))
(/.f64 (-.f64 (.f64 x (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (.f64 (.f64 y y) (.f64 (neg.f64 x) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))))) (.f64 (.f64 y y) (pow.f64 (neg.f64 y) #s(literal 3 binary64))))
(/.f64 (-.f64 (.f64 x (pow.f64 y #s(literal 3 binary64))) (.f64 (.f64 y y) (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x))) (pow.f64 y #s(literal 5 binary64)))
(/.f64 (-.f64 (.f64 x (.f64 (.f64 y y) (/.f64 y (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x)))) (.f64 y y)) (.f64 (.f64 y y) (.f64 (.f64 y y) (/.f64 y (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x)))))
(/.f64 (-.f64 (.f64 x (/.f64 (.f64 y y) (/.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y))) (.f64 y y)) (.f64 (.f64 y y) (/.f64 (.f64 y y) (/.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y))))
(/.f64 (-.f64 (neg.f64 x) (/.f64 (.f64 (neg.f64 x) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) y)) (.f64 (neg.f64 y) y))
(/.f64 (.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y) #s(literal 2 binary64))) (pow.f64 y #s(literal -2 binary64))) (fma.f64 (/.f64 x y) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y) #s(literal 3 binary64))) (pow.f64 y #s(literal -2 binary64))) (+.f64 (hypot.f64 x (/.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y)) (.f64 (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y) x)))
(/.f64 (.f64 (-.f64 x (/.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y)) #s(literal 1 binary64)) (*.f64 y y))
(/.f64 (-.f64 (pow.f64 (/.f64 x (.f64 y y)) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) (pow.f64 y #s(literal -3 binary64))) #s(literal 2 binary64))) (fma.f64 x (pow.f64 y #s(literal -2 binary64)) (.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) (pow.f64 y #s(literal -3 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 9 binary64)))) (+.f64 (pow.f64 (/.f64 x (.f64 y y)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) (pow.f64 y #s(literal -3 binary64))) #s(literal 2 binary64)) (.f64 (/.f64 x (.f64 y y)) (.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) (pow.f64 y #s(literal -3 binary64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y) #s(literal 2 binary64)))) (neg.f64 (.f64 (.f64 y y) (fma.f64 (/.f64 x y) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y) #s(literal 3 binary64)))) (neg.f64 (.f64 (.f64 y y) (+.f64 (hypot.f64 x (/.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y)) (.f64 (/.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y) x)))))
(/.f64 (neg.f64 (/.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y)) y)) (neg.f64 y))
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y))) (neg.f64 (.f64 (neg.f64 y) y)))
(/.f64 (.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y) #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (/.f64 x y) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) (*.f64 y y)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y) #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (hypot.f64 x (/.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y)) (.f64 (/.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y) x)) (*.f64 y y)))
(/.f64 (-.f64 (.f64 x (.f64 y y)) (.f64 (.f64 y y) (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y))) (pow.f64 y #s(literal 4 binary64)))
(/.f64 (/.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y)) y) y)
(/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y) #s(literal 2 binary64))) (.f64 (.f64 y y) (fma.f64 (/.f64 x y) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (/.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y)) y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 y (/.f64 y (-.f64 x (/.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y)))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 y (/.f64 y (-.f64 x (/.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y) #s(literal 3 binary64))) (.f64 (.f64 y y) (+.f64 (hypot.f64 x (/.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y)) (.f64 (/.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y) x))))
(/.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y)) (.f64 (neg.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 #s(literal 1 binary64) (neg.f64 (neg.f64 (.f64 y (/.f64 y (-.f64 x (/.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y (/.f64 y (-.f64 x (/.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 y (/.f64 y (-.f64 x (/.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y)))))
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y)) (.f64 y y)))
(neg.f64 (/.f64 (-.f64 x (/.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y)) (.f64 (neg.f64 y) y)))
(fma.f64 x (pow.f64 y #s(literal -2 binary64)) (neg.f64 (.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) (pow.f64 y #s(literal -3 binary64)))))
(-.f64 (/.f64 x (.f64 y y)) (.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) (pow.f64 y #s(literal -3 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 y (/.f64 y (-.f64 x (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y))))) #s(literal -1 binary64)))
(+.f64 (/.f64 x (.f64 y y)) (neg.f64 (.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) (pow.f64 y #s(literal -3 binary64)))))

eval288.0ms (2.8%)

Memory: 22.7MiB live, 411.9MiB allocated
Compiler: Compiled 35 896 to 3 996 computations (88.9% saved)

prune66.0ms (0.6%)

Memory

7.0MiB live, 130.3MiB allocated

Pruning

31 alts after pruning (20 fresh and 11 done)

	Pruned	Kept	Total
New	1 435	9	1 444
Fresh	1	11	12
Picked	2	3	5
Done	0	8	8
Total	1 438	31	1 469

Accuracy

100.0%

Counts

1 469 → 31

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)))))
✓	94.5%	(/.f64 (.f64 (/.f64 y (+.f64 y x)) x) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.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))
	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))
	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)))
✓	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 (/ x (+ x y)) (/.f64 x y)) #s(approx (* (/ (+ (+ x y) 1) y) (+ x y)) (+.f64 y #s(literal 1 binary64))))
	4.6%	(/.f64 #s(approx (/ x (+ x y)) #s(literal 1 binary64)) #s(approx (* (/ (+ (+ x y) 1) y) (+ x y)) (+.f64 y #s(literal 1 binary64))))
✓	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))
✓	13.8%	(/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) #s(approx (/ y (+ x 1)) (fma.f64 (neg.f64 y) x y))) (+.f64 y x))
	53.4%	(/.f64 x (.f64 #s(approx ( (/ (+ (+ x y) 1) y) (+ x y)) (+.f64 #s(literal 1 binary64) y)) (+.f64 x y)))
	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)))
	40.2%	#s(approx (/ (/ x (+ x y)) (* (/ (+ (+ x y) 1) y) (+ x y))) (/.f64 (/.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y)) y) y))
	38.3%	#s(approx (/ (/ x (+ x y)) (* (/ (+ (+ x y) 1) y) (+ x y))) (/.f64 (-.f64 x (/.f64 #s(approx (* (+ (* 3 x) 1) x) (.f64 #s(literal 3 binary64) (.f64 x x))) y)) (*.f64 y y)))
	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)))
	39.4%	#s(approx (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/.f64 (/.f64 y x) x))
	35.1%	#s(approx (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/.f64 (-.f64 y (/.f64 #s(approx (* (+ (* 3 y) 1) y) (.f64 (.f64 #s(literal 3 binary64) y) y)) x)) (*.f64 x x)))
✓	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 963 to 418 computations (56.6% saved)

regimes48.0ms (0.5%)

Memory

-11.3MiB live, 68.9MiB allocated

Counts

49 → 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)))
(/.f64 #s(approx (/ x (+ x y)) #s(literal 1 binary64)) #s(approx (* (/ (+ (+ x y) 1) y) (+ x y)) (+.f64 y #s(literal 1 binary64))))
#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)))
#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 x (.f64 #s(approx ( (/ (+ (+ x y) 1) y) (+ x y)) (+.f64 #s(literal 1 binary64) y)) (+.f64 x y)))
(/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) #s(approx (/ y (+ x 1)) (fma.f64 (neg.f64 y) x y))) (+.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)))
(/.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 #s(approx (/ x (+ x y)) (/.f64 x y)) #s(approx (* (/ (+ (+ x y) 1) y) (+ x y)) (+.f64 y #s(literal 1 binary64))))
#s(approx (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 x y))))
(/.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 (/ 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 (/.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 y (/.f64 #s(approx (* (+ (* 3 y) 1) y) (.f64 (.f64 #s(literal 3 binary64) y) y)) x)) (*.f64 x x)))
#s(approx (/ (/ x (+ x y)) (* (/ (+ (+ x y) 1) y) (+ x y))) (/.f64 (-.f64 x (/.f64 #s(approx (* (+ (* 3 x) 1) x) (.f64 #s(literal 3 binary64) (.f64 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 x (/.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y)) (.f64 y y)))
(.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 (/ (/ x (+ x y)) (* (/ (+ (+ x y) 1) y) (+ x y))) (/.f64 (/.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y)) y) y))
(/.f64 (/.f64 x (+.f64 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 #s(literal 1 binary64) (+.f64 y x)) (*.f64 (/.f64 x (pow.f64 (+.f64 y x) #s(literal 2 binary64))) y)))

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

Calls

3 calls:

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

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

4.8MiB live, 81.3MiB allocated

Counts

44 → 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)))
(/.f64 #s(approx (/ x (+ x y)) #s(literal 1 binary64)) #s(approx (* (/ (+ (+ x y) 1) y) (+ x y)) (+.f64 y #s(literal 1 binary64))))
#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)))
#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 x (.f64 #s(approx ( (/ (+ (+ x y) 1) y) (+ x y)) (+.f64 #s(literal 1 binary64) y)) (+.f64 x y)))
(/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) #s(approx (/ y (+ x 1)) (fma.f64 (neg.f64 y) x y))) (+.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)))
(/.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 #s(approx (/ x (+ x y)) (/.f64 x y)) #s(approx (* (/ (+ (+ x y) 1) y) (+ x y)) (+.f64 y #s(literal 1 binary64))))
#s(approx (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 x y))))
(/.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 (/ 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 (/.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 y (/.f64 #s(approx (* (+ (* 3 y) 1) y) (.f64 (.f64 #s(literal 3 binary64) y) y)) x)) (*.f64 x x)))
#s(approx (/ (/ x (+ x y)) (* (/ (+ (+ x y) 1) y) (+ x y))) (/.f64 (-.f64 x (/.f64 #s(approx (* (+ (* 3 x) 1) x) (.f64 #s(literal 3 binary64) (.f64 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 x (/.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y)) (.f64 y y)))
(.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 (/ (/ x (+ x y)) (* (/ (+ (+ x y) 1) y) (+ x y))) (/.f64 (/.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y)) y) y))
(/.f64 (/.f64 x (+.f64 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:

14.0ms	x
13.0ms	y
12.0ms	(/.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)

regimes48.0ms (0.5%)

Memory

-22.2MiB live, 76.3MiB allocated

Counts

43 → 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)))
(/.f64 #s(approx (/ x (+ x y)) #s(literal 1 binary64)) #s(approx (* (/ (+ (+ x y) 1) y) (+ x y)) (+.f64 y #s(literal 1 binary64))))
#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)))
#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 x (.f64 #s(approx ( (/ (+ (+ x y) 1) y) (+ x y)) (+.f64 #s(literal 1 binary64) y)) (+.f64 x y)))
(/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) #s(approx (/ y (+ x 1)) (fma.f64 (neg.f64 y) x y))) (+.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)))
(/.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 #s(approx (/ x (+ x y)) (/.f64 x y)) #s(approx (* (/ (+ (+ x y) 1) y) (+ x y)) (+.f64 y #s(literal 1 binary64))))
#s(approx (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 x y))))
(/.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 (/ 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 (/.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 y (/.f64 #s(approx (* (+ (* 3 y) 1) y) (.f64 (.f64 #s(literal 3 binary64) y) y)) x)) (*.f64 x x)))
#s(approx (/ (/ x (+ x y)) (* (/ (+ (+ x y) 1) y) (+ x y))) (/.f64 (-.f64 x (/.f64 #s(approx (* (+ (* 3 x) 1) x) (.f64 #s(literal 3 binary64) (.f64 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 x (/.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y)) (.f64 y y)))
(.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 (/ (/ x (+ x y)) (* (/ (+ (+ x y) 1) y) (+ x y))) (/.f64 (/.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y)) y) y))
(/.f64 (/.f64 x (+.f64 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 (/.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) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)))

Calls

3 calls:

20.0ms	x
13.0ms	(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))
13.0ms	y

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)

regimes14.0ms (0.1%)

Memory

-11.4MiB live, 26.6MiB allocated

Counts

37 → 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)))
(/.f64 #s(approx (/ x (+ x y)) #s(literal 1 binary64)) #s(approx (* (/ (+ (+ x y) 1) y) (+ x y)) (+.f64 y #s(literal 1 binary64))))
#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)))
#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 x (.f64 #s(approx ( (/ (+ (+ x y) 1) y) (+ x y)) (+.f64 #s(literal 1 binary64) y)) (+.f64 x y)))
(/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) #s(approx (/ y (+ x 1)) (fma.f64 (neg.f64 y) x y))) (+.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)))
(/.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 #s(approx (/ x (+ x y)) (/.f64 x y)) #s(approx (* (/ (+ (+ x y) 1) y) (+ x y)) (+.f64 y #s(literal 1 binary64))))
#s(approx (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 x y))))
(/.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 (/ 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 (/.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 y (/.f64 #s(approx (* (+ (* 3 y) 1) y) (.f64 (.f64 #s(literal 3 binary64) y) y)) x)) (*.f64 x x)))
#s(approx (/ (/ x (+ x y)) (* (/ (+ (+ x y) 1) y) (+ x y))) (/.f64 (-.f64 x (/.f64 #s(approx (* (+ (* 3 x) 1) x) (.f64 #s(literal 3 binary64) (.f64 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 x (/.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y)) (.f64 y y)))
(.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 (/.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 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) (/.f64 x (+.f64 y x)))

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
96.3%	2	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes37.0ms (0.4%)

Memory

2.8MiB live, 77.3MiB allocated

Counts

35 → 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)))
(/.f64 #s(approx (/ x (+ x y)) #s(literal 1 binary64)) #s(approx (* (/ (+ (+ x y) 1) y) (+ x y)) (+.f64 y #s(literal 1 binary64))))
#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)))
#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 x (.f64 #s(approx ( (/ (+ (+ x y) 1) y) (+ x y)) (+.f64 #s(literal 1 binary64) y)) (+.f64 x y)))
(/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) #s(approx (/ y (+ x 1)) (fma.f64 (neg.f64 y) x y))) (+.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)))
(/.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 #s(approx (/ x (+ x y)) (/.f64 x y)) #s(approx (* (/ (+ (+ x y) 1) y) (+ x y)) (+.f64 y #s(literal 1 binary64))))
#s(approx (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 x y))))
(/.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 (/ 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 (/.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 y (/.f64 #s(approx (* (+ (* 3 y) 1) y) (.f64 (.f64 #s(literal 3 binary64) y) y)) x)) (*.f64 x x)))
#s(approx (/ (/ x (+ x y)) (* (/ (+ (+ x y) 1) y) (+ x y))) (/.f64 (-.f64 x (/.f64 #s(approx (* (+ (* 3 x) 1) x) (.f64 #s(literal 3 binary64) (.f64 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 x (/.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y)) (.f64 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 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

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
84.3%	2	`(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))`
91.1%	3	`y`
90.0%	3	`x`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes10.0ms (0.1%)

Memory

23.4MiB live, 23.4MiB allocated

Counts

29 → 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)))
(/.f64 #s(approx (/ x (+ x y)) #s(literal 1 binary64)) #s(approx (* (/ (+ (+ x y) 1) y) (+ x y)) (+.f64 y #s(literal 1 binary64))))
#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)))
#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 x (.f64 #s(approx ( (/ (+ (+ x y) 1) y) (+ x y)) (+.f64 #s(literal 1 binary64) y)) (+.f64 x y)))
(/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) #s(approx (/ y (+ x 1)) (fma.f64 (neg.f64 y) x y))) (+.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)))
(/.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 #s(approx (/ x (+ x y)) (/.f64 x y)) #s(approx (* (/ (+ (+ x y) 1) y) (+ x y)) (+.f64 y #s(literal 1 binary64))))
#s(approx (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 x y))))
(/.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 (/ 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 (/.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:

9.0ms

Results

Accuracy	Segments	Branch
90.8%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes15.0ms (0.1%)

Memory

-19.5MiB live, 21.1MiB 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)))
(/.f64 #s(approx (/ x (+ x y)) #s(literal 1 binary64)) #s(approx (* (/ (+ (+ x y) 1) y) (+ x y)) (+.f64 y #s(literal 1 binary64))))
#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)))
#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 x (.f64 #s(approx ( (/ (+ (+ x y) 1) y) (+ x y)) (+.f64 #s(literal 1 binary64) y)) (+.f64 x y)))
(/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) #s(approx (/ y (+ x 1)) (fma.f64 (neg.f64 y) x y))) (+.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)))
(/.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 #s(approx (/ x (+ x y)) (/.f64 x y)) #s(approx (* (/ (+ (+ x y) 1) y) (+ x y)) (+.f64 y #s(literal 1 binary64))))
#s(approx (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 x y))))
(/.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 (/ 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)))

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:

14.0ms

Results

Accuracy	Segments	Branch
90.8%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes9.0ms (0.1%)

Memory

16.7MiB live, 16.7MiB 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)))
(/.f64 #s(approx (/ x (+ x y)) #s(literal 1 binary64)) #s(approx (* (/ (+ (+ x y) 1) y) (+ x y)) (+.f64 y #s(literal 1 binary64))))
#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)))
#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 x (.f64 #s(approx ( (/ (+ (+ x y) 1) y) (+ x y)) (+.f64 #s(literal 1 binary64) y)) (+.f64 x y)))
(/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) #s(approx (/ y (+ x 1)) (fma.f64 (neg.f64 y) x y))) (+.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)))
(/.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 #s(approx (/ x (+ x y)) (/.f64 x y)) #s(approx (* (/ (+ (+ x y) 1) y) (+ x y)) (+.f64 y #s(literal 1 binary64))))
#s(approx (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 x y))))
(/.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 (/ 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)

regimes32.0ms (0.3%)

Memory

-10.6MiB live, 26.2MiB allocated

Counts

23 → 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)))
(/.f64 #s(approx (/ x (+ x y)) #s(literal 1 binary64)) #s(approx (* (/ (+ (+ x y) 1) y) (+ x y)) (+.f64 y #s(literal 1 binary64))))
#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)))
#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 x (.f64 #s(approx ( (/ (+ (+ x y) 1) y) (+ x y)) (+.f64 #s(literal 1 binary64) y)) (+.f64 x y)))
(/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) #s(approx (/ y (+ x 1)) (fma.f64 (neg.f64 y) x y))) (+.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)))
(/.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 #s(approx (/ x (+ x y)) (/.f64 x y)) #s(approx (* (/ (+ (+ x y) 1) y) (+ x y)) (+.f64 y #s(literal 1 binary64))))
#s(approx (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 x y))))
(/.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))

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

Calls

2 calls:

23.0ms	x
7.0ms	y

Results

Accuracy	Segments	Branch
85.6%	2	`x`
85.1%	2	`y`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes15.0ms (0.1%)

Memory

24.3MiB live, 24.3MiB allocated

Counts

21 → 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)))
(/.f64 #s(approx (/ x (+ x y)) #s(literal 1 binary64)) #s(approx (* (/ (+ (+ x y) 1) y) (+ x y)) (+.f64 y #s(literal 1 binary64))))
#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)))
#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 x (.f64 #s(approx ( (/ (+ (+ x y) 1) y) (+ x y)) (+.f64 #s(literal 1 binary64) y)) (+.f64 x y)))
(/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) #s(approx (/ y (+ x 1)) (fma.f64 (neg.f64 y) x y))) (+.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)))
(/.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 #s(approx (/ x (+ x y)) (/.f64 x y)) #s(approx (* (/ (+ (+ x y) 1) y) (+ x y)) (+.f64 y #s(literal 1 binary64))))
#s(approx (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 x y))))
(/.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))
(/.f64 #s(approx (/ x (+ x y)) (/.f64 x y)) #s(approx (* (/ (+ (+ x y) 1) y) (+ x y)) (+.f64 y #s(literal 1 binary64))))

Calls

2 calls:

7.0ms	x
7.0ms	y

Results

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

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes48.0ms (0.5%)

Memory

-19.7MiB live, 48.8MiB allocated

Counts

16 → 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)))
(/.f64 #s(approx (/ x (+ x y)) #s(literal 1 binary64)) #s(approx (* (/ (+ (+ x y) 1) y) (+ x y)) (+.f64 y #s(literal 1 binary64))))
#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)))
#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 x (.f64 #s(approx ( (/ (+ (+ x y) 1) y) (+ x y)) (+.f64 #s(literal 1 binary64) y)) (+.f64 x y)))
(/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) #s(approx (/ y (+ x 1)) (fma.f64 (neg.f64 y) x y))) (+.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)))
(/.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))

Outputs

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

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

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

Calls

3 calls:

31.0ms	(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))
5.0ms	x
5.0ms	y

Results

Accuracy	Segments	Branch
85.7%	3	`y`
55.2%	2	`(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))`
83.4%	2	`x`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes6.0ms (0.1%)

Memory

16.7MiB live, 16.7MiB allocated

Counts

14 → 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)))
(/.f64 #s(approx (/ x (+ x y)) #s(literal 1 binary64)) #s(approx (* (/ (+ (+ x y) 1) y) (+ x y)) (+.f64 y #s(literal 1 binary64))))
#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)))
#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 x (.f64 #s(approx ( (/ (+ (+ x y) 1) y) (+ x y)) (+.f64 #s(literal 1 binary64) y)) (+.f64 x y)))
(/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) #s(approx (/ y (+ x 1)) (fma.f64 (neg.f64 y) x y))) (+.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 (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (fma.f64 x x x)))
(/.f64 x (.f64 #s(approx ( (/ (+ (+ x y) 1) y) (+ x y)) (+.f64 #s(literal 1 binary64) y)) (+.f64 x y)))

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
84.2%	2	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes16.0ms (0.2%)

Memory

-19.0MiB live, 23.0MiB allocated

Counts

11 → 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)))
(/.f64 #s(approx (/ x (+ x y)) #s(literal 1 binary64)) #s(approx (* (/ (+ (+ x y) 1) y) (+ x y)) (+.f64 y #s(literal 1 binary64))))
#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)))
#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))

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:

4.0ms	x
4.0ms	y

Results

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

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes5.0ms (0%)

Memory

11.2MiB live, 11.2MiB 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)))
(/.f64 #s(approx (/ x (+ x y)) #s(literal 1 binary64)) #s(approx (* (/ (+ (+ x y) 1) y) (+ x y)) (+.f64 y #s(literal 1 binary64))))
#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)))
#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)

regimes6.0ms (0.1%)

Memory

25.6MiB live, 25.6MiB allocated

Counts

6 → 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)))
(/.f64 #s(approx (/ x (+ x y)) #s(literal 1 binary64)) #s(approx (* (/ (+ (+ x y) 1) y) (+ x y)) (+.f64 y #s(literal 1 binary64))))
#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:

3.0ms	x
3.0ms	y

Results

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

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes5.0ms (0.1%)

Memory

-25.4MiB live, 13.0MiB allocated

Counts

5 → 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)))
(/.f64 #s(approx (/ x (+ x y)) #s(literal 1 binary64)) #s(approx (* (/ (+ (+ x y) 1) y) (+ x y)) (+.f64 y #s(literal 1 binary64))))
#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:

5.0ms

Results

Accuracy	Segments	Branch
77.5%	4	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes6.0ms (0.1%)

Memory

25.6MiB live, 25.7MiB allocated

Counts

3 → 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)))

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

#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:

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

Results

Accuracy	Segments	Branch
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)

regimes7.0ms (0.1%)

Memory

-14.3MiB live, 24.4MiB allocated

Accuracy

Total -14.2b remaining (-29.9%)

Threshold costs -14.2b (-29.9%)

Counts

2 → 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)))

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

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

Calls

3 calls:

4.0ms	y
2.0ms	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)

bsearch14.0ms (0.1%)

Memory

-0.1MiB live, 38.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	-2.247656450929957e+159	-8.430212744729437e+157

Samples

8.0ms

112×

valid

Compiler

Compiled 237 to 154 computations (35% saved)

Precisions

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

ival-mult: 4.0ms (68.5% of total)

ival-div: 1.0ms (17.1% of total)

ival-add: 1.0ms (17.1% 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

3.3MiB live, 3.3MiB 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)

bsearch25.0ms (0.2%)

Memory

6.2MiB live, 49.7MiB 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
16.0ms	2.8610932302655804e-133	1.4840330647379526e-127

Samples

15.0ms

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 (56.5% of total)

ival-add: 2.0ms (28.3% of total)

ival-div: 1.0ms (14.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch28.0ms (0.3%)

Memory

-21.4MiB live, 55.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	2.1103166358412594e+144	2.9423961677732958e+146
14.0ms	3.676711767648835e-122	1.3067413152663825e-114

Samples

14.0ms

256×

valid

Compiler

Compiled 454 to 327 computations (28% saved)

Precisions

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

ival-mult: 5.0ms (56.6% of total)

ival-div: 2.0ms (22.6% of total)

ival-add: 2.0ms (22.6% 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

3.0MiB live, 3.0MiB 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

1.5MiB live, 1.5MiB 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)

bsearch15.0ms (0.1%)

Memory

13.5MiB live, 13.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	-2.6131172005560806e-40	-2.899986616911018e-48

Samples

7.0ms

144×

valid

Compiler

Compiled 191 to 176 computations (7.9% saved)

Precisions

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

ival-mult: 2.0ms (43.1% of total)

ival-div: 1.0ms (21.6% of total)

ival-add: 1.0ms (21.6% of total)

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

exact: 0.0ms (0% of total)

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

bsearch13.0ms (0.1%)

Memory

10.0MiB live, 10.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	-1.7339809752829211e+21	-369860221947226430.0

Samples

7.0ms

128×

valid

Compiler

Compiled 156 to 142 computations (9% saved)

Precisions

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

ival-mult: 2.0ms (47.6% of total)

ival-div: 1.0ms (23.8% of total)

ival-add: 1.0ms (23.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch65.0ms (0.6%)

Memory

-20.5MiB live, 18.2MiB 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
62.0ms	2.8727144868979977e-70	7.796851919049629e-63

Samples

57.0ms

144×

valid

Compiler

Compiled 299 to 261 computations (12.7% saved)

Precisions

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

ival-mult: 2.0ms (42% of total)

ival-div: 1.0ms (21% of total)

ival-add: 1.0ms (21% 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

2.2MiB live, 2.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.8727144868979977e-70	7.796851919049629e-63

Compiler

Compiled 173 to 149 computations (13.9% saved)

bsearch8.0ms (0.1%)

Memory

11.5MiB live, 11.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	-1.7339809752829211e+21	-369860221947226430.0

Samples

4.0ms

80×

valid

Compiler

Compiled 124 to 110 computations (11.3% saved)

Precisions

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

ival-add: 1.0ms (37.4% of total)

ival-mult: 1.0ms (37.4% of total)

ival-div: 0.0ms (0% 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

1.3MiB 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

1.8MiB live, 1.8MiB 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)

bsearch57.0ms (0.6%)

Memory

-34.3MiB live, 30.3MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
14.0ms	1.5694386565423333e-194	2.0233326635611407e-183
39.0ms	-4.355565368745927e-132	-8.266522326179922e-137
1.0ms	-1.7339809752829211e+21	-369860221947226430.0

Samples

15.0ms

288×

valid

Compiler

Compiled 314 to 326 computations (-3.8% saved)

Precisions

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

ival-mult: 5.0ms (54.4% of total)

ival-div: 2.0ms (21.8% of total)

ival-add: 2.0ms (21.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch16.0ms (0.2%)

Memory

-11.9MiB live, 26.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	0.21183030292520733	1043217.6258666309

Samples

9.0ms

144×

valid

Compiler

Compiled 119 to 122 computations (-2.5% saved)

Precisions

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

ival-add: 3.0ms (46.3% of total)

ival-mult: 3.0ms (46.3% of total)

ival-div: 1.0ms (15.4% of total)

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

exact: 0.0ms (0% of total)

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

simplify31.0ms (0.3%)

Memory

33.9MiB live, 70.6MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	130	956
1	151	956

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 (/.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) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))))
(if (<=.f64 x #s(literal -195000000000000003614350923025298352121102444248156938121201075636378342812212251997980385559607122288648255466268906181148325635201566013531580458149760466944 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)) (.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 927034449501837/3196670515523576044934755563308202297086564498088930458479776726656380660551439995003193449537015778467662777468320381844938727095591204153641140224 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 24499999999999999282497411632219324203477147964159976036638553597329851061108736 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 6210780114830625/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648 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 6210780114830625/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648 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 6210780114830625/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648 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 -1647111495365465/200867255532373784442745261542645325315275374222849104412672 binary64)) (/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 y (+.f64 x #s(literal 1 binary64)))) (+.f64 y x)) (/.f64 #s(approx (/ x (+ x y)) (/.f64 x y)) #s(approx (* (/ (+ (+ x y) 1) y) (+ x y)) (+.f64 y #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -1800000000000000000 binary64)) (/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 y x)) (+.f64 y x)) (/.f64 #s(approx (/ x (+ x y)) (/.f64 x y)) #s(approx (* (/ (+ (+ x y) 1) y) (+ x y)) (+.f64 y #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal 7040159025628825/926336713898529563388567880069503262826159877325124512315660672063305037119488 binary64)) #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (fma.f64 x x x))) (if (<=.f64 y #s(literal 289999999999999982971899272216792389784688460836220892228035071597950893721799583243662732359143156577731078400609772571980895277162316631394746368 binary64)) (/.f64 x (.f64 #s(approx ( (/ (+ (+ x y) 1) y) (+ x y)) (+.f64 #s(literal 1 binary64) y)) (+.f64 x y))) (/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 x y)) (+.f64 y x))))
(if (<=.f64 y #s(literal 7040159025628825/926336713898529563388567880069503262826159877325124512315660672063305037119488 binary64)) #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (fma.f64 x x x))) (/.f64 x (.f64 #s(approx ( (/ (+ (+ x y) 1) y) (+ x y)) (+.f64 #s(literal 1 binary64) y)) (+.f64 x y))))
(if (<=.f64 x #s(literal -550000000000000000 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 -1647111495365465/200867255532373784442745261542645325315275374222849104412672 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 -550000000000000000 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 -550000000000000000 binary64)) #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (.f64 x x))) (if (<=.f64 x #s(literal -7594266210319049/13093562431584567480052758787310396608866568184172259157933165472384535185618698219533080369303616628603546736510240284036869026183541572213314110357504 binary64)) #s(approx (/ ( x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (.f64 y y))) (if (<=.f64 x #s(literal 3875093243781687/2392032866531905486790942578809394338145620987608332988883503686824375178865503049616412016019962016447144819201720664620106359620960485637227891297994520232330261783830994590149049944504587400511488 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 (/.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) (*.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 y (+.f64 (+.f64 x y) #s(literal 1 binary64)))) (+.f64 x y)) (/.f64 (.f64 (/.f64 y (+.f64 x y)) x) (*.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) (+.f64 x y))))
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#s(approx (/ (/ x (+ x y)) (* (/ (+ (+ x y) 1) y) (+ x y))) #s(approx (/ x (+ (* y y) y)) (/.f64 x y)))

soundness1.9s (17.9%)

Memory

11.9MiB live, 1 154.5MiB allocated

Rules

11 006×	`lower-fma.f64`
11 006×	`lower-fma.f32`
9 846×	`lower-fma.f64`
9 846×	`lower-fma.f32`
8 924×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	422	2494
1	1483	2406
2	6308	2382
0	8318	2157
0	725	11964
1	2556	11413
0	8562	10569
0	902	11815
1	3145	11286
0	8194	10470
0	43	261
0	67	261
1	328	255
2	2900	255
0	8496	255
0	34	229
0	60	202
1	297	202
2	2415	202
0	8374	185
0	1092	12933
1	3841	12336
0	8066	11605
0	33	238
0	54	238
1	263	232
2	2264	232
0	8893	232
0	9	43
0	15	37
1	76	37
2	666	37
0	8864	33

Stop Event

1×	fuel
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×	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 2 094 to 815 computations (61.1% saved)

preprocess324.0ms (3.1%)

Memory: -42.4MiB live, 213.4MiB allocated
Compiler: Compiled 1 158 to 306 computations (73.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze44.0ms (0.4%)

sample808.0ms (7.8%)

explain111.0ms (1.1%)

preprocess464.0ms (4.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify467.0ms (4.5%)

localize24.0ms (0.2%)

series20.0ms (0.2%)

simplify292.0ms (2.8%)

rewrite610.0ms (5.9%)

eval142.0ms (1.4%)

prune36.0ms (0.3%)

simplify302.0ms (2.9%)

localize93.0ms (0.9%)

series104.0ms (1%)

simplify268.0ms (2.6%)

rewrite293.0ms (2.8%)

eval781.0ms (7.6%)

prune113.0ms (1.1%)

simplify232.0ms (2.2%)

localize80.0ms (0.8%)

series51.0ms (0.5%)

simplify371.0ms (3.6%)

rewrite236.0ms (2.3%)

eval290.0ms (2.8%)

prune65.0ms (0.6%)

simplify211.0ms (2%)

localize105.0ms (1%)

series39.0ms (0.4%)

simplify277.0ms (2.7%)

rewrite223.0ms (2.2%)

eval288.0ms (2.8%)

prune66.0ms (0.6%)

regimes48.0ms (0.5%)

regimes41.0ms (0.4%)

regimes48.0ms (0.5%)

regimes14.0ms (0.1%)

regimes37.0ms (0.4%)

regimes10.0ms (0.1%)

regimes15.0ms (0.1%)

regimes9.0ms (0.1%)

regimes32.0ms (0.3%)

regimes15.0ms (0.1%)

regimes48.0ms (0.5%)

regimes6.0ms (0.1%)

regimes16.0ms (0.2%)

regimes5.0ms (0%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes6.0ms (0.1%)

regimes7.0ms (0.1%)

bsearch14.0ms (0.1%)

bsearch1.0ms (0%)

bsearch25.0ms (0.2%)

bsearch28.0ms (0.3%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch15.0ms (0.1%)

bsearch13.0ms (0.1%)

bsearch65.0ms (0.6%)

bsearch1.0ms (0%)

bsearch8.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch57.0ms (0.6%)

bsearch16.0ms (0.2%)

simplify31.0ms (0.3%)

soundness1.9s (17.9%)

preprocess324.0ms (3.1%)

end0.0ms (0%)

Profiling