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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze219.0ms (2.1%)

Memory

-1.6MiB live, 37.0MiB 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)

sample868.0ms (8.3%)

Memory

33.4MiB live, 1 053.7MiB allocated

Samples

580.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 399.0ms

ival-mult: 205.0ms (51.4% of total)

ival-add: 107.0ms (26.8% of total)

ival-div: 71.0ms (17.8% of total)

ival-true: 6.0ms (1.5% of total)

exact: 6.0ms (1.5% of total)

ival-assert: 4.0ms (1% of total)

Bogosity

explain115.0ms (1.1%)

Memory

-4.4MiB live, 193.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
92	-	1	(7.008952704600665e-110 1.4220813250930392e-206)	`(/.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	54	0
↳	`(*.f64 x y)`	overflow	54
↳	`(.f64 (.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))`	overflow	145
↳	`(*.f64 (+.f64 x y) (+.f64 x y))`	overflow	126
`/.f64`	`(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))`	u/n	15	0
↳	`(*.f64 x y)`	underflow	27
`/.f64`	`(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))`	u/u	12	0
↳	`(*.f64 x y)`	underflow	27
↳	`(.f64 (.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))`	underflow	12
↳	`(*.f64 (+.f64 x y) (+.f64 x y))`	underflow	12
`/.f64`	`(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))`	n/o	10	0
↳	`(.f64 (.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))`	overflow	145
↳	`(*.f64 (+.f64 x y) (+.f64 x y))`	overflow	126

Confusion

	Predicted +	Predicted -
+	91	1
-	0	164

Precision

1.0

Recall

0.9891304347826086

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	91	0	1
-	0	0	164

Precision?

1.0

Recall?

0.9891304347826086

Freqs

test

number	freq
0	165
1	91

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

36.0ms	510×	0	valid
0.0ms	2×	1	valid

Compiler

Compiled 174 to 40 computations (77% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 11.0ms (51.2% of total)

ival-add: 5.0ms (23.3% of total)

ival-div: 4.0ms (18.6% of total)

adjust: 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)

preprocess409.0ms (3.9%)

Memory

1.7MiB live, 383.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(sort x y)

Compiler

Compiled 17 to 9 computations (47.1% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	65.6%	(/.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)

simplify360.0ms (3.4%)

Memory

-9.3MiB live, 215.3MiB 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))))

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize28.0ms (0.3%)

Memory

-9.6MiB live, 42.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(+.f64 (+.f64 x y) #s(literal 1 binary64))
accuracy	0.0078125	(*.f64 (+.f64 x y) (+.f64 x y))
accuracy	0.046875	(.f64 (.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))
accuracy	21.756410777340218	(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))

Samples

21.0ms	255×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 104 to 20 computations (80.8% saved)

Precisions

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

ival-div: 6.0ms (43.7% of total)

ival-mult: 5.0ms (36.4% of total)

ival-add: 2.0ms (14.6% of total)

adjust: 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)

series23.0ms (0.2%)

Memory

4.9MiB live, 41.2MiB allocated

Counts

6 → 144

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

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	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)) (+ (+ 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)) (+ (+ 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)) (+ (+ 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)) (+ (+ 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)) (+ (+ x y) 1))

simplify204.0ms (1.9%)

Memory

25.6MiB live, 249.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	437	2666
1	1532	2578
2	6455	2536
0	8479	2309

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 134

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)))
(+ 1 x)
(+ 1 (+ x y))
(+ 1 (+ x y))
(+ 1 (+ 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))
(* 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)))))))))
y
(* y (+ 1 (+ (/ 1 y) (/ x y))))
(* y (+ 1 (+ (/ 1 y) (/ x y))))
(* 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 (+ (* -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)))
y
(* -1 (* y (- (* -1 (/ (+ 1 x) y)) 1)))
(* -1 (* y (- (* -1 (/ (+ 1 x) y)) 1)))
(* -1 (* y (- (* -1 (/ (+ 1 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)))
(+ 1 y)
(+ 1 (+ x y))
(+ 1 (+ x y))
(+ 1 (+ x 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)))))))))
x
(* x (+ 1 (+ (/ 1 x) (/ y x))))
(* x (+ 1 (+ (/ 1 x) (/ y x))))
(* x (+ 1 (+ (/ 1 x) (/ y x))))
(/ y (pow x 2))
(/ (+ y (* -1 (/ (* y (+ 1 (+ y (* 2 y)))) x))) (pow x 2))
(/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2))) x)) (* y (+ 1 (+ y (* 2 y))))) x))) (pow x 2))
(/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* y (* (+ 1 (+ y (* 2 y))) (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2))))) (+ (* (+ 1 (+ y (* 2 y))) (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2)))) (* (pow y 3) (+ 1 y)))) x)) (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2)))) x)) (* y (+ 1 (+ y (* 2 y))))) x))) (pow x 2))
(* 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)))
x
(* -1 (* x (- (* -1 (/ (+ 1 y) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ 1 y) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ 1 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)
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rewrite285.0ms (2.7%)

Memory

-15.7MiB live, 311.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	48
0	15	42
1	76	42
2	666	42
0	8864	42

Stop Event

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

Counts

6 → 894

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

Outputs
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eval185.0ms (1.8%)

Memory: 7.7MiB live, 240.4MiB allocated
Compiler: Compiled 36 286 to 3 769 computations (89.6% saved)

prune37.0ms (0.4%)

Memory

29.4MiB live, 105.8MiB allocated

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	1 160	20	1 180
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	1 160	21	1 181

Accuracy

100.0%

Counts

1 181 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	67.9%	(/.f64 (/.f64 (.f64 y x) (+.f64 y 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))
✓	65.6%	(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))
	54.5%	(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) #s(approx (+ (+ x y) 1) (+.f64 #s(literal 1 binary64) x))))
	30.2%	(/.f64 (.f64 x y) (.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))
	37.0%	(/.f64 (.f64 x y) #s(approx ( (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 y y y) y)))
▶	29.7%	(/.f64 (.f64 x y) #s(approx ( (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 x x x) x)))
	89.7%	(.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)))
	99.7%	(.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)))
	80.1%	(.f64 (pow.f64 (+.f64 y x) #s(literal -2 binary64)) (.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x)))))
	67.9%	(.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))))
	90.4%	(.f64 (/.f64 y (+.f64 y x)) (/.f64 x (.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))))
▶	90.4%	(.f64 (/.f64 y (.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) (/.f64 x (+.f64 y x)))
	67.9%	(.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)))))
▶	28.3%	#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))
	37.8%	#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))
	44.6%	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (fma.f64 x x x)))
	32.0%	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (*.f64 x x)))
	53.1%	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (fma.f64 y y y)))
▶	41.3%	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (*.f64 y y)))

Compiler

Compiled 599 to 367 computations (38.7% saved)

simplify530.0ms (5%)

Memory

-30.8MiB live, 224.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	288
0	57	288
1	138	288
2	375	288
3	903	288
4	3783	288
5	4893	288
6	5893	288
7	7387	288
0	8274	278

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

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

localize99.0ms (0.9%)

Memory

3.5MiB live, 192.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	1.4670793522899657	(/.f64 (/.f64 (-.f64 y (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) x)) x) x)
accuracy	2.1699681038507395	(/.f64 (-.f64 y (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) x)) x)
accuracy	7.062512871886369	(/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) x)
accuracy	41.89135600353666	#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))
accuracy	0.0078125	(*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))
accuracy	0.01171875	(/.f64 x (+.f64 y x))
accuracy	0.05859375	(.f64 (/.f64 y (.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) (/.f64 x (+.f64 y x)))
accuracy	18.144433089637605	(/.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)))
accuracy	0	(*.f64 x y)
accuracy	0.03125	(*.f64 (fma.f64 x x x) x)
accuracy	21.756410777340218	(/.f64 (.f64 x y) #s(approx ( (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 x x x) x)))
accuracy	29.632918920061147	#s(approx (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 x x x) x))
accuracy	0	(*.f64 y y)
accuracy	11.222990127850204	(/.f64 x (*.f64 y y))
accuracy	37.060769691559074	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (*.f64 y y)))
accuracy	0.0078125	(/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x)))
accuracy	0.01171875	(/.f64 x (+.f64 y x))
accuracy	0.0390625	(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (/.f64 x (+.f64 y x)))
accuracy	0.0703125	(/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (/.f64 x (+.f64 y x))) (+.f64 y x))

Samples

64.0ms	238×	0	valid
6.0ms	14×	1	valid
2.0ms	4×	2	valid

Compiler

Compiled 491 to 61 computations (87.6% saved)

Precisions

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

ival-mult: 18.0ms (33.5% of total)

ival-div: 16.0ms (29.8% of total)

ival-add: 14.0ms (26% of total)

ival-sub: 3.0ms (5.6% of total)

adjust: 1.0ms (1.9% of total)

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

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

exact: 0.0ms (0% of total)

series65.0ms (0.6%)

Memory

-4.4MiB live, 155.1MiB allocated

Counts

21 → 480

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
11.0ms	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) (* (+ 1 (+ y x)) (+ y x)) (/ x (+ y x)) (- y (/ (* (+ (* 3 y) 1) y) x)) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/ (/ (- y (/ (* (+ (* 3 y) 1) y) x)) x) x) (/ (- y (/ (* (+ (* 3 y) 1) y) x)) x) (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/ y (* (+ 1 (+ y x)) (+ y x))) (* (/ y (* (+ 1 (+ y x)) (+ y x))) (/ x (+ y x))) (/ (* (+ (* 3 y) 1) y) x))
8.0ms	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) (* (+ 1 (+ y x)) (+ y x)) (/ x (+ y x)) (- y (/ (* (+ (* 3 y) 1) y) x)) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/ (/ (- y (/ (* (+ (* 3 y) 1) y) x)) x) x) (/ (- y (/ (* (+ (* 3 y) 1) y) x)) x) (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/ y (* (+ 1 (+ y x)) (+ y x))) (* (/ y (* (+ 1 (+ y x)) (+ y x))) (/ x (+ y x))) (/ (* (+ (* 3 y) 1) y) x))
7.0ms	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) (* (+ 1 (+ y x)) (+ y x)) (/ x (+ y x)) (- y (/ (* (+ (* 3 y) 1) y) x)) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/ (/ (- y (/ (* (+ (* 3 y) 1) y) x)) x) x) (/ (- y (/ (* (+ (* 3 y) 1) y) x)) x) (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/ y (* (+ 1 (+ y x)) (+ y x))) (* (/ y (* (+ 1 (+ y x)) (+ y x))) (/ x (+ y x))) (/ (* (+ (* 3 y) 1) y) x))
5.0ms	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) (* (+ 1 (+ y x)) (+ y x)) (/ x (+ y x)) (- y (/ (* (+ (* 3 y) 1) y) x)) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/ (/ (- y (/ (* (+ (* 3 y) 1) y) x)) x) x) (/ (- y (/ (* (+ (* 3 y) 1) y) x)) x) (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/ y (* (+ 1 (+ y x)) (+ y x))) (* (/ y (* (+ 1 (+ y x)) (+ y x))) (/ x (+ y x))) (/ (* (+ (* 3 y) 1) y) x))
5.0ms	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) (* (+ 1 (+ y x)) (+ y x)) (/ x (+ y x)) (- y (/ (* (+ (* 3 y) 1) y) x)) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/ (/ (- y (/ (* (+ (* 3 y) 1) y) x)) x) x) (/ (- y (/ (* (+ (* 3 y) 1) y) x)) x) (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/ y (* (+ 1 (+ y x)) (+ y x))) (* (/ y (* (+ 1 (+ y x)) (+ y x))) (/ x (+ y x))) (/ (* (+ (* 3 y) 1) y) x))

simplify264.0ms (2.5%)

Memory

25.5MiB live, 343.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1032	12989
1	3624	12405
0	8229	11692

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 468

Calls

Call 1

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

rewrite230.0ms (2.2%)

Memory

3.2MiB live, 241.4MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	247
0	57	239
1	279	235
2	2559	235
0	9097	235

Stop Event

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

Counts

21 → 1 148

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

Outputs
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eval401.0ms (3.8%)

Memory: 33.2MiB live, 758.7MiB allocated
Compiler: Compiled 59 354 to 5 972 computations (89.9% saved)

prune252.0ms (2.4%)

Memory

-111.1MiB live, 198.4MiB allocated

Pruning

33 alts after pruning (29 fresh and 4 done)

	Pruned	Kept	Total
New	2 180	25	2 205
Fresh	11	4	15
Picked	2	3	5
Done	0	1	1
Total	2 193	33	2 226

Accuracy

100.0%

Counts

2 226 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	89.6%	(/.f64 (/.f64 (*.f64 (/.f64 y (+.f64 (+.f64 x y) #s(literal 1 binary64))) x) (+.f64 x y)) (+.f64 y x))
▶	99.0%	(/.f64 (/.f64 y (+.f64 (+.f64 x y) #s(literal 1 binary64))) (*.f64 (/.f64 (+.f64 x y) x) (+.f64 x y)))
	98.8%	(/.f64 (/.f64 x (+.f64 x y)) (*.f64 (/.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) y) (+.f64 x y)))
	54.5%	(/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) #s(approx (/ x (+ y x)) (/.f64 x y))) (+.f64 y x))
▶	48.1%	(/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) #s(approx (/ x (+ y x)) #s(literal 1 binary64))) (+.f64 y x))
	43.4%	(/.f64 (*.f64 #s(approx (/ y (+ 1 (+ y x))) #s(literal 1 binary64)) (/.f64 x (+.f64 y x))) (+.f64 y x))
✓	65.6%	(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))
	54.5%	(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) #s(approx (+ (+ x y) 1) (+.f64 #s(literal 1 binary64) x))))
✓	29.7%	(/.f64 (.f64 x y) #s(approx ( (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 x x x) x)))
	47.3%	(/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 y (+.f64 x #s(literal 1 binary64)))) (+.f64 y x))
	34.7%	(/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 y x)) (+.f64 y x))
	54.4%	(/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 x (+.f64 #s(literal 1 binary64) y))) (+.f64 y x))
	42.4%	(/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 x y)) (+.f64 y x))
	98.1%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) (/.f64 (+.f64 x y) y)) (/.f64 (+.f64 x y) x)))
▶	67.9%	(.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))))
✓	90.4%	(.f64 (/.f64 y (.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) (/.f64 x (+.f64 y x)))
	62.8%	(.f64 (/.f64 y (.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) #s(approx (/ x (+ y x)) #s(literal 1 binary64)))
	72.7%	(.f64 (/.f64 y (.f64 #s(approx (+ 1 (+ y x)) (+.f64 x #s(literal 1 binary64))) (+.f64 y x))) (/.f64 x (+.f64 y x)))
	44.7%	(.f64 (/.f64 y #s(approx ( (+ 1 (+ y x)) (+ y x)) (*.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 x (+.f64 y x)))
	43.2%	(.f64 (/.f64 y #s(approx ( (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 x x x) x))) x)
	98.9%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) (/.f64 (+.f64 x y) y))) (/.f64 x (+.f64 y x)))
	41.9%	(.f64 #s(approx (/ y ( (+ 1 (+ y x)) (+ y x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) y)) y)) (/.f64 x (+.f64 y x)))
▶	32.0%	#s(approx (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/.f64 y (*.f64 x x)))
	34.5%	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) (neg.f64 (/.f64 y x)) y) x) x))
	42.1%	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 x y) y))
	23.8%	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 #s(approx (/ (- y (/ (* (+ (* 3 y) 1) y) x)) x) (/.f64 (.f64 y (-.f64 x (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)))) (.f64 x x))) x))
	34.1%	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 #s(approx (/ (- y (/ (* (+ (* 3 y) 1) y) x)) x) (/.f64 y x)) x))
	44.6%	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (fma.f64 x x x)))
	53.1%	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (fma.f64 y y y)))
✓	41.3%	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (*.f64 y y)))
▶	41.3%	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 y x))))
	41.3%	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (*.f64 (pow.f64 y #s(literal -2 binary64)) x))
	34.2%	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) #s(approx (/ (/ (- y (/ (* (+ (* 3 y) 1) y) x)) x) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 y x))))

Compiler

Compiled 781 to 518 computations (33.7% saved)

simplify156.0ms (1.5%)

Memory

-3.9MiB live, 153.5MiB 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 #s(literal 1 binary64) (+.f64 y x))
cost-diff	0	(/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x)))
cost-diff	0	(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) #s(approx (/ x (+ y x)) #s(literal 1 binary64)))
cost-diff	0	(/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) #s(approx (/ x (+ y x)) #s(literal 1 binary64))) (+.f64 y x))
cost-diff	0	(/.f64 y x)
cost-diff	0	(*.f64 y (/.f64 y x))
cost-diff	0	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 y x))))
cost-diff	320	(/.f64 #s(literal 1 binary64) (*.f64 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) x) (+.f64 x y))
cost-diff	0	(+.f64 x y)
cost-diff	0	(+.f64 (+.f64 x y) #s(literal 1 binary64))
cost-diff	0	(/.f64 y (+.f64 (+.f64 x y) #s(literal 1 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	244
0	63	242
1	162	242
2	436	238
3	1177	238
4	4837	238
5	5473	238
6	6182	238
7	6543	238
8	6597	238
9	6602	238
10	7695	238
0	8260	234

Stop Event

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

Calls

Call 1

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

localize151.0ms (1.4%)

Memory

8.3MiB live, 124.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))
accuracy	0.8501118552459765	(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)))
accuracy	6.054182395653968	(.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	19.176637708574667	(/.f64 (*.f64 y x) (+.f64 y x))
accuracy	0.0078125	(/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x)))
accuracy	0.0390625	(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) #s(approx (/ x (+ y x)) #s(literal 1 binary64)))
accuracy	0.0703125	(/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) #s(approx (/ x (+ y x)) #s(literal 1 binary64))) (+.f64 y x))
accuracy	33.85042247829504	#s(approx (/ x (+ y x)) #s(literal 1 binary64))
accuracy	0	(/.f64 y x)
accuracy	0.14453125	(*.f64 y (/.f64 y x))
accuracy	0.6558231841569718	(/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 y x)))
accuracy	37.060769691559074	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 y x))))
accuracy	0	(*.f64 x x)
accuracy	8.990644795168325	(/.f64 y (*.f64 x x))
accuracy	42.140515449766994	#s(approx (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/.f64 y (*.f64 x x)))
accuracy	0.0078125	(/.f64 y (+.f64 (+.f64 x y) #s(literal 1 binary64)))
accuracy	0.015625	(/.f64 (+.f64 x y) x)
accuracy	0.060878759768442016	(*.f64 (/.f64 (+.f64 x y) x) (+.f64 x y))
accuracy	0.6050419341569718	(/.f64 (/.f64 y (+.f64 (+.f64 x y) #s(literal 1 binary64))) (*.f64 (/.f64 (+.f64 x y) x) (+.f64 x y)))

Samples

131.0ms	255×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 421 to 58 computations (86.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 115.0ms

ival-mult: 76.0ms (66.3% of total)

ival-div: 20.0ms (17.4% of total)

ival-add: 18.0ms (15.7% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series129.0ms (1.2%)

Memory

-2.5MiB live, 79.2MiB allocated

Counts

24 → 564

Calls

Call 1

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

Outputs
#s(alt (/ y (+ 1 x)) (taylor 0 y) (#s(alt (/.f64 y (+.f64 (+.f64 x y) #s(literal 1 binary64))) (patch (/.f64 y (+.f64 (+.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (/ y (pow (+ 1 x) 2))) (/ 1 (+ 1 x)))) (taylor 0 y) (#s(alt (/.f64 y (+.f64 (+.f64 x y) #s(literal 1 binary64))) (patch (/.f64 y (+.f64 (+.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* y (- (/ y (pow (+ 1 x) 3)) (/ 1 (pow (+ 1 x) 2)))) (/ 1 (+ 1 x)))) (taylor 0 y) (#s(alt (/.f64 y (+.f64 (+.f64 x y) #s(literal 1 binary64))) (patch (/.f64 y (+.f64 (+.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* y (- (* y (+ (* -1 (/ y (pow (+ 1 x) 4))) (/ 1 (pow (+ 1 x) 3)))) (/ 1 (pow (+ 1 x) 2)))) (/ 1 (+ 1 x)))) (taylor 0 y) (#s(alt (/.f64 y (+.f64 (+.f64 x y) #s(literal 1 binary64))) (patch (/.f64 y (+.f64 (+.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 y) (#s(alt (+.f64 (+.f64 x y) #s(literal 1 binary64)) (patch (+.f64 (+.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ x y)) (taylor 0 y) (#s(alt (+.f64 (+.f64 x y) #s(literal 1 binary64)) (patch (+.f64 (+.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ x y)) (taylor 0 y) (#s(alt (+.f64 (+.f64 x y) #s(literal 1 binary64)) (patch (+.f64 (+.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ x y)) (taylor 0 y) (#s(alt (+.f64 (+.f64 x y) #s(literal 1 binary64)) (patch (+.f64 (+.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (.f64 (/.f64 (+.f64 x y) x) (+.f64 x y)) (patch (.f64 (/.f64 (+.f64 x y) x) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* 2 y)) (taylor 0 y) (#s(alt (.f64 (/.f64 (+.f64 x y) x) (+.f64 x y)) (patch (.f64 (/.f64 (+.f64 x y) x) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (+ 2 (/ y x)))) (taylor 0 y) (#s(alt (.f64 (/.f64 (+.f64 x y) x) (+.f64 x y)) (patch (.f64 (/.f64 (+.f64 x y) x) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (+ 2 (/ y x)))) (taylor 0 y) (#s(alt (.f64 (/.f64 (+.f64 x y) x) (+.f64 x y)) (patch (.f64 (/.f64 (+.f64 x y) x) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ y (* x (+ 1 x))) (taylor 0 y) (#s(alt #s(approx (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/.f64 y (.f64 x x))) (patch #s(approx (/ ( (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/.f64 y (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (* y (+ (* 2 (/ 1 (* (pow x 2) (+ 1 x)))) (/ 1 (* x (pow (+ 1 x) 2)))))) (/ 1 (* x (+ 1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/.f64 y (.f64 x x))) (patch #s(approx (/ ( (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/.f64 y (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* y (- (* -1 (* y (+ (* -1 (/ (* (+ (* 2 (* x (+ 1 x))) (pow x 2)) (+ (/ 1 (* x (pow (+ 1 x) 2))) (* 2 (/ 1 (* (pow x 2) (+ 1 x)))))) (* (pow x 2) (+ 1 x)))) (+ (* 3 (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))) (/ 1 (* (pow x 3) (pow (+ 1 x) 2))))))) (+ (* 2 (/ 1 (* (pow x 2) (+ 1 x)))) (/ 1 (* x (pow (+ 1 x) 2)))))) (/ 1 (* x (+ 1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/.f64 y (.f64 x x))) (patch #s(approx (/ ( (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/.f64 y (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ (* (+ 1 (+ x (* 2 x))) (+ (/ 1 (* x (pow (+ 1 x) 2))) (* 2 (/ 1 (* (pow x 2) (+ 1 x)))))) (* (pow x 2) (+ 1 x)))) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 2 (* x (+ 1 x))) (pow x 2)) (+ (/ 1 (* x (pow (+ 1 x) 2))) (* 2 (/ 1 (* (pow x 2) (+ 1 x)))))) (* (pow x 2) (+ 1 x)))) (+ (* 3 (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))) (/ 1 (* (pow x 3) (pow (+ 1 x) 2))))) (+ (* 2 (* x (+ 1 x))) (pow x 2))) (* (pow x 2) (+ 1 x)))) (/ 1 (* (pow x 3) (pow (+ 1 x) 2))))))) (+ (* -1 (/ (* (+ (* 2 (* x (+ 1 x))) (pow x 2)) (+ (/ 1 (* x (pow (+ 1 x) 2))) (* 2 (/ 1 (* (pow x 2) (+ 1 x)))))) (* (pow x 2) (+ 1 x)))) (+ (* 3 (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))) (/ 1 (* (pow x 3) (pow (+ 1 x) 2))))))) (+ (* 2 (/ 1 (* (pow x 2) (+ 1 x)))) (/ 1 (* x (pow (+ 1 x) 2)))))) (/ 1 (* x (+ 1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/.f64 y (.f64 x x))) (patch #s(approx (/ ( (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/.f64 y (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ y (pow x 2)) (taylor 0 y) (#s(alt (/.f64 y (.f64 x x)) (patch (/.f64 y (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ y (pow x 2)) (taylor 0 y) (#s(alt (/.f64 y (.f64 x x)) (patch (/.f64 y (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ y (pow x 2)) (taylor 0 y) (#s(alt (/.f64 y (.f64 x x)) (patch (/.f64 y (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ y (pow x 2)) (taylor 0 y) (#s(alt (/.f64 y (.f64 x x)) (patch (/.f64 y (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 y (/.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (.f64 y (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 y (/.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (.f64 y (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 y (/.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (.f64 y (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 y (/.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (.f64 y (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ y (* x (+ 1 x))) (taylor 0 y) (#s(alt #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 #s(literal 1 binary64) (.f64 y (/.f64 y x)))) (patch #s(approx (/ ( x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 y x)))) #<representation binary64>) () ())) ())
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#s(alt (/ (+ y (* -1 (/ (* y (+ 1 (+ y (* 2 y)))) x))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) #s(approx (/ x (+ y x)) #s(literal 1 binary64))) (+.f64 y x)) (patch (/.f64 (.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) #s(approx (/ x (+ y x)) #s(literal 1 binary64))) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2))) x)) (* y (+ 1 (+ y (* 2 y))))) x))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) #s(approx (/ x (+ y x)) #s(literal 1 binary64))) (+.f64 y x)) (patch (/.f64 (.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) #s(approx (/ x (+ y x)) #s(literal 1 binary64))) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* y (* (+ 1 (+ y (* 2 y))) (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2))))) (+ (* (+ 1 (+ y (* 2 y))) (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2)))) (* (pow y 3) (+ 1 y)))) x)) (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2)))) x)) (* y (+ 1 (+ y (* 2 y))))) x))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) #s(approx (/ x (+ y x)) #s(literal 1 binary64))) (+.f64 y x)) (patch (/.f64 (.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) #s(approx (/ x (+ y x)) #s(literal 1 binary64))) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) #s(approx (/ x (+ y x)) #s(literal 1 binary64))) (patch (.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) #s(approx (/ x (+ y x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 y) (* -1 (/ (* y (+ (* -1 y) (* -1 (+ 1 y)))) x))) x)) (taylor -inf x) (#s(alt (.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) #s(approx (/ x (+ y x)) #s(literal 1 binary64))) (patch (.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) #s(approx (/ x (+ y x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* y (pow (+ (* -1 y) (* -1 (+ 1 y))) 2))) (* (pow y 2) (+ 1 y))) x)) (* y (+ (* -1 y) (* -1 (+ 1 y))))) x))) x)) (taylor -inf x) (#s(alt (.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) #s(approx (/ x (+ y x)) #s(literal 1 binary64))) (patch (.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) #s(approx (/ x (+ y x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* y (pow (+ (* -1 y) (* -1 (+ 1 y))) 2))) (+ (* -1 (/ (+ (* -1 (* (+ (* -1 y) (* -1 (+ 1 y))) (+ (* -1 (* y (pow (+ (* -1 y) (* -1 (+ 1 y))) 2))) (* (pow y 2) (+ 1 y))))) (* -1 (* (pow y 2) (* (+ 1 y) (+ (* -1 y) (* -1 (+ 1 y))))))) x)) (* (pow y 2) (+ 1 y)))) x)) (* y (+ (* -1 y) (* -1 (+ 1 y))))) x))) x)) (taylor -inf x) (#s(alt (.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) #s(approx (/ x (+ y x)) #s(literal 1 binary64))) (patch (.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) #s(approx (/ x (+ y x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (patch (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 y) (/ (* y (+ 1 y)) x)) x)) (taylor -inf x) (#s(alt (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (patch (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (* y (pow (+ 1 y) 2)) x) (* y (+ 1 y))) x))) x)) (taylor -inf x) (#s(alt (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (patch (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (* y (pow (+ 1 y) 3)) x) (* y (pow (+ 1 y) 2))) x)) (* y (+ 1 y))) x))) x)) (taylor -inf x) (#s(alt (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (patch (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) (+.f64 y x)) (patch (+.f64 #s(literal 1 binary64) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ 1 y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) (+.f64 y x)) (patch (+.f64 #s(literal 1 binary64) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ 1 y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) (+.f64 y x)) (patch (+.f64 #s(literal 1 binary64) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ 1 y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) (+.f64 y x)) (patch (+.f64 #s(literal 1 binary64) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf x) (#s(alt (/.f64 (.f64 y x) (+.f64 y x)) (patch (/.f64 (.f64 y x) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 (/ (pow y 2) x))) (taylor -inf x) (#s(alt (/.f64 (.f64 y x) (+.f64 y x)) (patch (/.f64 (.f64 y x) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 (/ (+ (* -1 (/ (pow y 3) x)) (pow y 2)) x))) (taylor -inf x) (#s(alt (/.f64 (.f64 y x) (+.f64 y x)) (patch (/.f64 (.f64 y x) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow y 4) x)) (pow y 3)) x)) (pow y 2)) x))) (taylor -inf x) (#s(alt (/.f64 (.f64 y x) (+.f64 y x)) (patch (/.f64 (.f64 y x) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)) (patch (.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 y) (* -1 (+ 1 y))) x)))) (taylor -inf x) (#s(alt (.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)) (patch (.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 y) (+ (* -1 (+ 1 y)) (* -1 (/ (* y (+ 1 y)) x)))) x)))) (taylor -inf x) (#s(alt (.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)) (patch (.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 y) (+ (* -1 (+ 1 y)) (* -1 (/ (* y (+ 1 y)) x)))) x)))) (taylor -inf x) (#s(alt (.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)) (patch (.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ y (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 y (+.f64 (+.f64 x y) #s(literal 1 binary64))) (.f64 (/.f64 (+.f64 x y) x) (+.f64 x y))) (patch (/.f64 (/.f64 y (+.f64 (+.f64 x y) #s(literal 1 binary64))) (.f64 (/.f64 (+.f64 x y) x) (+.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 y (+.f64 (+.f64 x y) #s(literal 1 binary64))) (.f64 (/.f64 (+.f64 x y) x) (+.f64 x y))) (patch (/.f64 (/.f64 y (+.f64 (+.f64 x y) #s(literal 1 binary64))) (.f64 (/.f64 (+.f64 x y) x) (+.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 y (+.f64 (+.f64 x y) #s(literal 1 binary64))) (.f64 (/.f64 (+.f64 x y) x) (+.f64 x y))) (patch (/.f64 (/.f64 y (+.f64 (+.f64 x y) #s(literal 1 binary64))) (.f64 (/.f64 (+.f64 x y) x) (+.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 y (+.f64 (+.f64 x y) #s(literal 1 binary64))) (.f64 (/.f64 (+.f64 x y) x) (+.f64 x y))) (patch (/.f64 (/.f64 y (+.f64 (+.f64 x y) #s(literal 1 binary64))) (.f64 (/.f64 (+.f64 x y) x) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt (/.f64 (+.f64 x y) x) (patch (/.f64 (+.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ y x)) (taylor -inf x) (#s(alt (/.f64 (+.f64 x y) x) (patch (/.f64 (+.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ y x)) (taylor -inf x) (#s(alt (/.f64 (+.f64 x y) x) (patch (/.f64 (+.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ y x)) (taylor -inf x) (#s(alt (/.f64 (+.f64 x y) x) (patch (/.f64 (+.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (patch #s(approx (/ x (+ y x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ y x))) (taylor -inf x) (#s(alt #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (patch #s(approx (/ x (+ y x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) (taylor -inf x) (#s(alt #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (patch #s(approx (/ x (+ y x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) (taylor -inf x) (#s(alt #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (patch #s(approx (/ x (+ y x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ y (pow x 2)) (taylor -inf x) (#s(alt (.f64 (/.f64 (.f64 y x) (+.f64 y x)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)))) (patch (.f64 (/.f64 (.f64 y x) (+.f64 y x)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ y (* -1 (/ (* y (+ 1 (+ y (* 2 y)))) x))) (pow x 2)) (taylor -inf x) (#s(alt (.f64 (/.f64 (.f64 y x) (+.f64 y x)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)))) (patch (.f64 (/.f64 (.f64 y x) (+.f64 y x)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 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 x) (+.f64 y x)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)))) (patch (.f64 (/.f64 (.f64 y x) (+.f64 y x)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 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 x) (+.f64 y x)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)))) (patch (.f64 (/.f64 (.f64 y x) (+.f64 y x)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (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>) () ())) ())
#s(alt (/ (+ 1 (+ (* -1 (/ y x)) (* -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>) () ())) ())
#s(alt (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (+ (* -1 y) (* -1 (+ 1 y))) 2) x)) (/ (* 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>) () ())) ())
#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
49.0ms	y	@	-inf	((/ y (+ (+ x y) 1)) (+ (+ x y) 1) (+ x y) (* (/ (+ x y) x) (+ x y)) (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/ y (* x x)) (* x x) (/ 1 (* y (/ y x))) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (* y (/ y x)) (/ y x) (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/ y (+ 1 (+ y x))) (+ 1 (+ y x)) (/ (* y x) (+ y x)) (* y x) (+ y x) (* (+ 1 (+ y x)) (+ y x)) (/ (/ y (+ (+ x y) 1)) (* (/ (+ x y) x) (+ x y))) (/ (+ x y) x) (/ x (+ y x)) (* (/ (* y x) (+ y x)) (/ 1 (* (+ 1 (+ y x)) (+ y x)))) (/ 1 (* (+ 1 (+ y x)) (+ y x))))
9.0ms	x	@	0	((/ y (+ (+ x y) 1)) (+ (+ x y) 1) (+ x y) (* (/ (+ x y) x) (+ x y)) (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/ y (* x x)) (* x x) (/ 1 (* y (/ y x))) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (* y (/ y x)) (/ y x) (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/ y (+ 1 (+ y x))) (+ 1 (+ y x)) (/ (* y x) (+ y x)) (* y x) (+ y x) (* (+ 1 (+ y x)) (+ y x)) (/ (/ y (+ (+ x y) 1)) (* (/ (+ x y) x) (+ x y))) (/ (+ x y) x) (/ x (+ y x)) (* (/ (* y x) (+ y x)) (/ 1 (* (+ 1 (+ y x)) (+ y x)))) (/ 1 (* (+ 1 (+ y x)) (+ y x))))
5.0ms	x	@	inf	((/ y (+ (+ x y) 1)) (+ (+ x y) 1) (+ x y) (* (/ (+ x y) x) (+ x y)) (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/ y (* x x)) (* x x) (/ 1 (* y (/ y x))) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (* y (/ y x)) (/ y x) (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/ y (+ 1 (+ y x))) (+ 1 (+ y x)) (/ (* y x) (+ y x)) (* y x) (+ y x) (* (+ 1 (+ y x)) (+ y x)) (/ (/ y (+ (+ x y) 1)) (* (/ (+ x y) x) (+ x y))) (/ (+ x y) x) (/ x (+ y x)) (* (/ (* y x) (+ y x)) (/ 1 (* (+ 1 (+ y x)) (+ y x)))) (/ 1 (* (+ 1 (+ y x)) (+ y x))))
4.0ms	x	@	-inf	((/ y (+ (+ x y) 1)) (+ (+ x y) 1) (+ x y) (* (/ (+ x y) x) (+ x y)) (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/ y (* x x)) (* x x) (/ 1 (* y (/ y x))) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (* y (/ y x)) (/ y x) (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/ y (+ 1 (+ y x))) (+ 1 (+ y x)) (/ (* y x) (+ y x)) (* y x) (+ y x) (* (+ 1 (+ y x)) (+ y x)) (/ (/ y (+ (+ x y) 1)) (* (/ (+ x y) x) (+ x y))) (/ (+ x y) x) (/ x (+ y x)) (* (/ (* y x) (+ y x)) (/ 1 (* (+ 1 (+ y x)) (+ y x)))) (/ 1 (* (+ 1 (+ y x)) (+ y x))))
3.0ms	y	@	0	((/ y (+ (+ x y) 1)) (+ (+ x y) 1) (+ x y) (* (/ (+ x y) x) (+ x y)) (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/ y (* x x)) (* x x) (/ 1 (* y (/ y x))) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (* y (/ y x)) (/ y x) (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/ y (+ 1 (+ y x))) (+ 1 (+ y x)) (/ (* y x) (+ y x)) (* y x) (+ y x) (* (+ 1 (+ y x)) (+ y x)) (/ (/ y (+ (+ x y) 1)) (* (/ (+ x y) x) (+ x y))) (/ (+ x y) x) (/ x (+ y x)) (* (/ (* y x) (+ y x)) (/ 1 (* (+ 1 (+ y x)) (+ y x)))) (/ 1 (* (+ 1 (+ y x)) (+ y x))))

simplify416.0ms (4%)

Memory

-21.3MiB live, 266.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	976	12733
1	3460	12141
0	8339	11470

Stop Event

1×	iter limit
1×	node limit

Counts

564 → 535

Calls

Call 1

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

rewrite265.0ms (2.5%)

Memory

1.0MiB live, 229.4MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	222
0	63	212
1	301	206
2	2520	206
0	8818	206

Stop Event

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

Counts

24 → 1 841

Calls

Call 1

Inputs
(/.f64 y (+.f64 (+.f64 x y) #s(literal 1 binary64)))
(+.f64 (+.f64 x y) #s(literal 1 binary64))
(+.f64 x y)
(*.f64 (/.f64 (+.f64 x y) x) (+.f64 x 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(literal 1 binary64) (*.f64 y (/.f64 y x)))
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 y x))))
(*.f64 y (/.f64 y x))
(/.f64 y x)
(/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) #s(approx (/ x (+ y x)) #s(literal 1 binary64))) (+.f64 y x))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) #s(approx (/ x (+ y x)) #s(literal 1 binary64)))
(/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x)))
(+.f64 #s(literal 1 binary64) (+.f64 y x))
(/.f64 (*.f64 y x) (+.f64 y x))
(*.f64 y x)
(+.f64 y x)
(*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))
(/.f64 (/.f64 y (+.f64 (+.f64 x y) #s(literal 1 binary64))) (*.f64 (/.f64 (+.f64 x y) x) (+.f64 x y)))
(/.f64 (+.f64 x y) x)
#s(approx (/ x (+ y x)) #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
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eval650.0ms (6.2%)

Memory: 27.4MiB live, 882.3MiB allocated
Compiler: Compiled 86 984 to 8 360 computations (90.4% saved)

prune115.0ms (1.1%)

Memory

20.4MiB live, 330.2MiB allocated

Pruning

28 alts after pruning (22 fresh and 6 done)

	Pruned	Kept	Total
New	3 254	10	3 264
Fresh	12	12	24
Picked	3	2	5
Done	0	4	4
Total	3 269	28	3 297

Accuracy

100.0%

Counts

3 297 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.7%	(/.f64 (/.f64 y (+.f64 (+.f64 x y) #s(literal 1 binary64))) (*.f64 #s(approx (/ (+ x y) x) (/.f64 y x)) (+.f64 x y)))
▶	99.0%	(/.f64 (/.f64 y (+.f64 (+.f64 x y) #s(literal 1 binary64))) #s(approx (* (/ (+ x y) x) (+ x y)) (fma.f64 (+.f64 (/.f64 y x) #s(literal 2 binary64)) y x)))
	48.7%	(/.f64 (/.f64 y (+.f64 (+.f64 x y) #s(literal 1 binary64))) #s(approx (* (/ (+ x y) x) (+ x y)) (fma.f64 #s(literal 2 binary64) y x)))
	54.5%	(/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) #s(approx (/ x (+ y x)) (/.f64 x y))) (+.f64 y x))
	43.4%	(/.f64 (*.f64 #s(approx (/ y (+ 1 (+ y x))) #s(literal 1 binary64)) (/.f64 x (+.f64 y x))) (+.f64 y x))
	5.4%	(/.f64 (*.f64 #s(approx (/ y (+ 1 (+ y x))) #s(literal 1 binary64)) #s(approx (/ x (+ y x)) #s(literal 1 binary64))) (+.f64 y x))
	62.8%	(/.f64 (.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) y) (.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) (+.f64 x y)))
✓	65.6%	(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))
▶	54.5%	(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) #s(approx (+ (+ x y) 1) (+.f64 #s(literal 1 binary64) x))))
✓	29.7%	(/.f64 (.f64 x y) #s(approx ( (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 x x x) x)))
	42.6%	(/.f64 #s(approx (/ y (+ (+ x y) 1)) #s(literal 1 binary64)) (*.f64 (/.f64 (+.f64 x y) x) (+.f64 x y)))
▶	47.3%	(/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 y (+.f64 x #s(literal 1 binary64)))) (+.f64 y x))
	34.7%	(/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 y x)) (+.f64 y x))
	54.4%	(/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 x (+.f64 #s(literal 1 binary64) y))) (+.f64 y x))
▶	42.4%	(/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 x y)) (+.f64 y x))
	31.8%	(.f64 (/.f64 (.f64 y x) (+.f64 y x)) (/.f64 #s(literal 1 binary64) #s(approx (* (+ 1 (+ y x)) (+ y x)) (*.f64 y y))))
✓	90.4%	(.f64 (/.f64 y (.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) (/.f64 x (+.f64 y x)))
	72.7%	(.f64 (/.f64 y (.f64 #s(approx (+ 1 (+ y x)) (+.f64 x #s(literal 1 binary64))) (+.f64 y x))) (/.f64 x (+.f64 y x)))
	43.2%	(.f64 (/.f64 y #s(approx ( (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 x x x) x))) x)
	34.1%	#s(approx (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/.f64 (/.f64 y x) x))
✓	32.0%	#s(approx (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/.f64 y (*.f64 x x)))
	33.3%	#s(approx (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 x y))))
	41.3%	#s(approx (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (*.f64 (pow.f64 y #s(literal -2 binary64)) x))
	42.1%	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 x y) y))
	44.6%	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (fma.f64 x x x)))
▶	53.1%	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (fma.f64 y y y)))
✓	41.3%	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (*.f64 y y)))
✓	41.3%	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 y x))))

Compiler

Compiled 549 to 388 computations (29.3% saved)

simplify276.0ms (2.6%)

Memory

3.5MiB live, 196.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 (+.f64 x y) (+.f64 x y))
cost-diff	0	(.f64 (.f64 (+.f64 x y) (+.f64 x y)) #s(approx (+ (+ x y) 1) (+.f64 #s(literal 1 binary64) x)))
cost-diff	0	(*.f64 x y)
cost-diff	0	(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) #s(approx (+ (+ x y) 1) (+.f64 #s(literal 1 binary64) 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	(fma.f64 y y y)
cost-diff	0	(/.f64 x (fma.f64 y y y))
cost-diff	0	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (fma.f64 y y y)))
cost-diff	0	(+.f64 x y)
cost-diff	0	(+.f64 (+.f64 x y) #s(literal 1 binary64))
cost-diff	0	(/.f64 y (+.f64 (+.f64 x y) #s(literal 1 binary64)))
cost-diff	0	(/.f64 (/.f64 y (+.f64 (+.f64 x y) #s(literal 1 binary64))) #s(approx (* (/ (+ x y) x) (+ x y)) (fma.f64 (+.f64 (/.f64 y x) #s(literal 2 binary64)) y x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	283
0	67	283
1	135	283
2	346	283
3	860	283
4	2919	283
5	4360	283
6	5137	283
7	5198	283
8	5216	283
9	5227	283
10	7169	283
11	7832	283
0	8399	282

Stop Event

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

Calls

Call 1

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

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

localize135.0ms (1.3%)

Memory

-19.1MiB live, 202.9MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(*.f64 (+.f64 x y) (+.f64 x y))
accuracy	0.046875	(.f64 (.f64 (+.f64 x y) (+.f64 x y)) #s(approx (+ (+ x y) 1) (+.f64 #s(literal 1 binary64) x)))
accuracy	21.756410777340218	(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) #s(approx (+ (+ x y) 1) (+.f64 #s(literal 1 binary64) x))))
accuracy	26.17465511746336	#s(approx (+ (+ x y) 1) (+.f64 #s(literal 1 binary64) x))
accuracy	0	(+.f64 y x)
accuracy	0	(+.f64 x #s(literal 1 binary64))
accuracy	0.0703125	(/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 y (+.f64 x #s(literal 1 binary64)))) (+.f64 y x))
accuracy	33.886855973951	#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	0.0703125	(/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 x y)) (+.f64 y x))
accuracy	36.8588662882219	#s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 x y))
accuracy	0	(fma.f64 y y y)
accuracy	7.186370098911626	(/.f64 x (fma.f64 y y y))
accuracy	29.512134170704595	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (fma.f64 y y y)))
accuracy	0.00390625	(+.f64 (+.f64 x y) #s(literal 1 binary64))
accuracy	0.0078125	(/.f64 y (+.f64 (+.f64 x y) #s(literal 1 binary64)))
accuracy	0.05078125	(fma.f64 (+.f64 (/.f64 y x) #s(literal 2 binary64)) y x)
accuracy	0.6050419341569718	(/.f64 (/.f64 y (+.f64 (+.f64 x y) #s(literal 1 binary64))) #s(approx (* (/ (+ x y) x) (+ x y)) (fma.f64 (+.f64 (/.f64 y x) #s(literal 2 binary64)) y x)))

Samples

104.0ms	255×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 412 to 62 computations (85% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

ival-add: 36.0ms (53.3% of total)

ival-div: 21.0ms (31.1% of total)

ival-mult: 10.0ms (14.8% of total)

adjust: 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)

series32.0ms (0.3%)

Memory

24.0MiB live, 61.9MiB allocated

Counts

21 → 480

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	((/ (/ y (+ (+ x y) 1)) (* (/ (+ x y) x) (+ x y))) (/ y (+ (+ x y) 1)) (+ (+ x y) 1) (+ x y) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/ x (+ (* y y) y)) (+ (* y y) y) (/ (* (/ 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) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (* (+ x y) (+ x y)) (+ (* (+ (/ y x) 2) y) x) (+ (+ x y) 1))
2.0ms	y	@	-inf	((/ (/ y (+ (+ x y) 1)) (* (/ (+ x y) x) (+ x y))) (/ y (+ (+ x y) 1)) (+ (+ x y) 1) (+ x y) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/ x (+ (* y y) y)) (+ (* y y) y) (/ (* (/ 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) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (* (+ x y) (+ x y)) (+ (* (+ (/ y x) 2) y) x) (+ (+ x y) 1))
2.0ms	x	@	inf	((/ (/ y (+ (+ x y) 1)) (* (/ (+ x y) x) (+ x y))) (/ y (+ (+ x y) 1)) (+ (+ x y) 1) (+ x y) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/ x (+ (* y y) y)) (+ (* y y) y) (/ (* (/ 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) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (* (+ x y) (+ x y)) (+ (* (+ (/ y x) 2) y) x) (+ (+ x y) 1))
2.0ms	x	@	0	((/ (/ y (+ (+ x y) 1)) (* (/ (+ x y) x) (+ x y))) (/ y (+ (+ x y) 1)) (+ (+ x y) 1) (+ x y) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/ x (+ (* y y) y)) (+ (* y y) y) (/ (* (/ 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) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (* (+ x y) (+ x y)) (+ (* (+ (/ y x) 2) y) x) (+ (+ x y) 1))
2.0ms	y	@	inf	((/ (/ y (+ (+ x y) 1)) (* (/ (+ x y) x) (+ x y))) (/ y (+ (+ x y) 1)) (+ (+ x y) 1) (+ x y) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/ x (+ (* y y) y)) (+ (* y y) y) (/ (* (/ 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) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (* (+ x y) (+ x y)) (+ (* (+ (/ y x) 2) y) x) (+ (+ x y) 1))

simplify201.0ms (1.9%)

Memory

-24.7MiB live, 369.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	853	12173
1	2975	11601
0	8134	10712

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 453

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

rewrite240.0ms (2.3%)

Memory

6.4MiB live, 368.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	234
0	67	224
1	317	224
2	2735	224
0	8417	224

Stop Event

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

Counts

21 → 691

Calls

Call 1

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

Outputs
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eval255.0ms (2.4%)

Memory: 32.8MiB live, 467.6MiB allocated
Compiler: Compiled 36 722 to 3 909 computations (89.4% saved)

prune78.0ms (0.7%)

Memory

-16.8MiB live, 184.1MiB allocated

Pruning

31 alts after pruning (20 fresh and 11 done)

	Pruned	Kept	Total
New	1 447	6	1 453
Fresh	3	14	17
Picked	0	5	5
Done	0	6	6
Total	1 450	31	1 481

Accuracy

100.0%

Counts

1 481 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.0%	(/.f64 (/.f64 y (+.f64 (+.f64 x y) #s(literal 1 binary64))) #s(approx (* (/ (+ x y) x) (+ x y)) (fma.f64 (+.f64 (/.f64 y x) #s(literal 2 binary64)) y x)))
	48.7%	(/.f64 (/.f64 y (+.f64 (+.f64 x y) #s(literal 1 binary64))) #s(approx (* (/ (+ x y) x) (+ x y)) (fma.f64 #s(literal 2 binary64) y x)))
	99.0%	(/.f64 (/.f64 y (+.f64 #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) #s(literal 1 binary64))) #s(approx (* (/ (+ x y) x) (+ x y)) (fma.f64 (+.f64 (/.f64 y x) #s(literal 2 binary64)) y x)))
	54.5%	(/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) #s(approx (/ x (+ y x)) (/.f64 x y))) (+.f64 y x))
	72.7%	(/.f64 (.f64 (/.f64 x (+.f64 x y)) y) (.f64 #s(approx (+ (+ x y) 1) (+.f64 #s(literal 1 binary64) x)) (+.f64 x y)))
	43.4%	(/.f64 (*.f64 #s(approx (/ y (+ 1 (+ y x))) #s(literal 1 binary64)) (/.f64 x (+.f64 y x))) (+.f64 y x))
	5.4%	(/.f64 (*.f64 #s(approx (/ y (+ 1 (+ y x))) #s(literal 1 binary64)) #s(approx (/ x (+ y x)) #s(literal 1 binary64))) (+.f64 y x))
	62.8%	(/.f64 (.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) y) (.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) (+.f64 x y)))
✓	65.6%	(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))
✓	54.5%	(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) #s(approx (+ (+ x y) 1) (+.f64 #s(literal 1 binary64) x))))
✓	29.7%	(/.f64 (.f64 x y) #s(approx ( (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 x x x) x)))
	42.6%	(/.f64 #s(approx (/ y (+ (+ x y) 1)) #s(literal 1 binary64)) (*.f64 (/.f64 (+.f64 x y) x) (+.f64 x y)))
	42.6%	(/.f64 #s(approx (/ y (+ (+ x y) 1)) #s(literal 1 binary64)) #s(approx (* (/ (+ x y) x) (+ x y)) (fma.f64 (+.f64 (/.f64 y x) #s(literal 2 binary64)) y x)))
✓	47.3%	(/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 y (+.f64 x #s(literal 1 binary64)))) (+.f64 y x))
	34.7%	(/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 y x)) (+.f64 y x))
	54.4%	(/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 x (+.f64 #s(literal 1 binary64) y))) (+.f64 y x))
✓	42.4%	(/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 x y)) (+.f64 y x))
	14.3%	(/.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))
	31.8%	(.f64 (/.f64 (.f64 y x) (+.f64 y x)) (/.f64 #s(literal 1 binary64) #s(approx (* (+ 1 (+ y x)) (+ y x)) (*.f64 y y))))
✓	90.4%	(.f64 (/.f64 y (.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) (/.f64 x (+.f64 y x)))
	43.2%	(.f64 (/.f64 y #s(approx ( (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 x x x) x))) x)
	44.6%	#s(approx (/ (/ y (+ (+ x y) 1)) (* (/ (+ x y) x) (+ x y))) (/.f64 y (fma.f64 x x x)))
	34.1%	#s(approx (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/.f64 (/.f64 y x) x))
✓	32.0%	#s(approx (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/.f64 y (*.f64 x x)))
	33.3%	#s(approx (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 x y))))
	41.3%	#s(approx (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (*.f64 (pow.f64 y #s(literal -2 binary64)) x))
	42.1%	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 x y) y))
✓	53.1%	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (fma.f64 y y y)))
✓	41.3%	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (*.f64 y y)))
✓	41.3%	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 y x))))
	26.9%	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) #s(approx (/ x (+ (* y y) y)) (/.f64 x y)))

Compiler

Compiled 1 151 to 461 computations (59.9% saved)

regimes84.0ms (0.8%)

Memory

-3.6MiB live, 113.2MiB allocated

Counts

62 → 1

Calls

Call 1

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

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

Calls

3 calls:

31.0ms	x
30.0ms	(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))
20.0ms	y

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)

regimes84.0ms (0.8%)

Memory

4.9MiB live, 125.3MiB allocated

Counts

48 → 1

Calls

Call 1

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

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

Calls

3 calls:

49.0ms	(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))
17.0ms	x
16.0ms	y

Results

Accuracy	Segments	Branch
99.0%	1	`x`
99.0%	1	`y`
99.0%	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)

regimes44.0ms (0.4%)

Memory

8.3MiB live, 120.2MiB allocated

Counts

45 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

15.0ms	x
14.0ms	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
95.2%	3	`x`
95.2%	3	`y`
90.4%	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)

regimes40.0ms (0.4%)

Memory

-24.7MiB live, 42.9MiB allocated

Counts

44 → 3

Calls

Call 1

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

Outputs

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

(*.f64 (/.f64 y (+.f64 y x)) (/.f64 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

2 calls:

25.0ms	x
12.0ms	y

Results

Accuracy	Segments	Branch
95.2%	3	`y`
95.2%	3	`x`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes25.0ms (0.2%)

Memory

12.7MiB live, 52.2MiB allocated

Counts

38 → 3

Calls

Call 1

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

Outputs

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

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

2 calls:

12.0ms	y
11.0ms	x

Results

Accuracy	Segments	Branch
95.2%	3	`x`
95.2%	3	`y`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes51.0ms (0.5%)

Memory

-0.9MiB live, 73.4MiB allocated

Counts

37 → 4

Calls

Call 1

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

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

Calls

3 calls:

28.0ms	x
12.0ms	y
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
82.5%	2	`(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))`
89.3%	4	`x`
92.6%	4	`y`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes45.0ms (0.4%)

Memory

-23.1MiB live, 53.2MiB allocated

Counts

35 → 4

Calls

Call 1

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

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

Calls

2 calls:

31.0ms	y
10.0ms	x

Results

Accuracy	Segments	Branch
89.3%	4	`x`
87.4%	3	`y`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes21.0ms (0.2%)

Memory

15.3MiB live, 51.9MiB allocated

Counts

31 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

11.0ms	y
9.0ms	x

Results

Accuracy	Segments	Branch
84.9%	3	`y`
87.1%	3	`x`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes12.0ms (0.1%)

Memory

-5.8MiB live, 28.3MiB allocated

Counts

27 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
86.8%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes24.0ms (0.2%)

Memory

5.4MiB live, 47.1MiB allocated

Counts

21 → 2

Calls

Call 1

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

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

Calls

2 calls:

16.0ms	y
6.0ms	x

Results

Accuracy	Segments	Branch
79.4%	2	`y`
82.8%	2	`x`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes14.0ms (0.1%)

Memory

3.9MiB live, 43.0MiB allocated

Counts

20 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
56.6%	2	`(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))`
83.4%	3	`x`

Compiler

Compiled 18 to 11 computations (38.9% saved)

regimes8.0ms (0.1%)

Memory

-4.3MiB live, 34.9MiB allocated

Counts

19 → 4

Calls

Call 1

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

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
83.4%	4	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes6.0ms (0.1%)

Memory

30.5MiB live, 30.5MiB allocated

Counts

16 → 4

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
82.8%	4	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes6.0ms (0.1%)

Memory

-15.7MiB live, 23.3MiB allocated

Counts

13 → 4

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
82.6%	4	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes5.0ms (0%)

Memory

16.1MiB live, 16.1MiB allocated

Counts

12 → 4

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
82.6%	4	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes7.0ms (0.1%)

Memory

-33.9MiB live, 12.7MiB allocated

Counts

9 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
81.0%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes7.0ms (0.1%)

Memory

22.0MiB live, 22.0MiB allocated

Counts

8 → 2

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
74.6%	2	`y`
78.2%	2	`x`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes7.0ms (0.1%)

Memory

-21.8MiB live, 16.7MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
63.9%	2	`y`
74.2%	2	`x`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes3.0ms (0%)

Memory

7.4MiB live, 7.4MiB allocated

Counts

4 → 4

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
68.5%	4	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes5.0ms (0%)

Memory

11.7MiB live, 11.7MiB allocated

Counts

2 → 3

Calls

Call 1

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

Outputs

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

#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) #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
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
42.9%	2	`(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))`
52.2%	3	`y`
47.4%	3	`x`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes6.0ms (0.1%)

Memory

-25.0MiB live, 13.1MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
26.9%	1	`(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))`
26.9%	1	`x`
26.9%	1	`y`

Compiler

Compiled 19 to 13 computations (31.6% saved)

bsearch27.0ms (0.3%)

Memory

34.4MiB live, 70.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	4.9026597507577915e-144	2.7061019158773677e-139
9.0ms	-6.44018874700995e+154	-5.095301530394491e+153

Samples

16.0ms

224×

valid

Compiler

Compiled 464 to 308 computations (33.6% saved)

Precisions

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

ival-mult: 4.0ms (48.7% of total)

ival-div: 2.0ms (24.3% of total)

ival-add: 2.0ms (24.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch35.0ms (0.3%)

Memory

-40.2MiB live, 61.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	8.233773165649314e+146	8.231743104180885e+157
15.0ms	-5.814590788372011e-81	-2.786046557099578e-82

Samples

20.0ms

272×

valid

Compiler

Compiled 520 to 351 computations (32.5% saved)

Precisions

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

ival-mult: 5.0ms (48.5% of total)

ival-add: 3.0ms (29.1% of total)

ival-div: 2.0ms (19.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

4.2MiB live, 4.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	8.233773165649314e+146	8.231743104180885e+157
1.0ms	-5.814590788372011e-81	-2.786046557099578e-82

Compiler

Compiled 520 to 351 computations (32.5% saved)

bsearch34.0ms (0.3%)

Memory

13.5MiB live, 51.2MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
16.0ms	2.0497150208397973e+73	7.153831421469442e+75
14.0ms	7.1625195602245225e-31	2.830964861702879e-23
1.0ms	-5.814590788372011e-81	-2.786046557099578e-82

Samples

20.0ms

272×

valid

Compiler

Compiled 752 to 509 computations (32.3% saved)

Precisions

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

ival-div: 6.0ms (43.7% of total)

ival-mult: 5.0ms (36.5% of total)

ival-add: 3.0ms (21.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch46.0ms (0.4%)

Memory

-15.8MiB live, 64.2MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
15.0ms	-9.588061202008494e-143	-4.4676641164474305e-144
11.0ms	-2.933258630886142e+71	-8.305914600321552e+69
16.0ms	-8.668240308964308e+139	-5.108514542742536e+136

Samples

28.0ms

352×

valid

Compiler

Compiled 642 to 455 computations (29.1% saved)

Precisions

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

ival-mult: 10.0ms (48.9% of total)

ival-add: 7.0ms (34.2% of total)

ival-div: 3.0ms (14.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch19.0ms (0.2%)

Memory

-9.3MiB live, 28.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	-3.8611354045796047e-116	-2.7517873255165268e-120
1.0ms	-8.668240308964308e+139	-5.108514542742536e+136

Samples

8.0ms

128×

valid

Compiler

Compiled 428 to 334 computations (22% saved)

Precisions

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

ival-mult: 2.0ms (42.2% of total)

ival-div: 1.0ms (21.1% of total)

ival-add: 1.0ms (21.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch12.0ms (0.1%)

Memory

22.6MiB live, 22.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-3.8611354045796047e-116	-2.7517873255165268e-120
9.0ms	-7.987877989081772e+147	-1.2893051907759514e+147

Samples

6.0ms

96×

valid

Compiler

Compiled 344 to 268 computations (22.1% saved)

Precisions

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

ival-mult: 2.0ms (55.3% of total)

ival-div: 1.0ms (27.7% of total)

ival-add: 1.0ms (27.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch4.0ms (0%)

Memory

7.2MiB live, 7.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
3.0ms	-1.720658211877175e-94	-1.515614478677979e-94

Samples

2.0ms

32×

valid

Compiler

Compiled 60 to 50 computations (16.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-mult: 1.0ms (85.2% of total)

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

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

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

exact: 0.0ms (0% of total)

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

bsearch29.0ms (0.3%)

Memory

8.9MiB live, 47.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	-5.455521708517775e-88	-1.4802915913904858e-92
14.0ms	-8.668240308964308e+139	-5.108514542742536e+136

Samples

17.0ms

240×

valid

Compiler

Compiled 340 to 270 computations (20.6% saved)

Precisions

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

ival-mult: 5.0ms (54.5% 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)

bsearch19.0ms (0.2%)

Memory

-17.7MiB live, 20.2MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
15.0ms	3.178784444410785e-45	1.3406654570305569e-42
1.0ms	-5.455521708517775e-88	-1.4802915913904858e-92
1.0ms	-8.668240308964308e+139	-5.108514542742536e+136

Samples

11.0ms

128×

valid

Compiler

Compiled 436 to 350 computations (19.7% 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)

bsearch16.0ms (0.1%)

Memory

21.3MiB live, 21.3MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	3.178784444410785e-45	1.3406654570305569e-42
1.0ms	-5.455521708517775e-88	-1.4802915913904858e-92
12.0ms	-108673914598816.66	-5121765673.039575

Samples

8.0ms

128×

valid

Compiler

Compiled 372 to 318 computations (14.5% saved)

Precisions

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

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

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

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

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

exact: 0.0ms (0% of total)

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

bsearch16.0ms (0.2%)

Memory

-27.2MiB live, 16.1MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
1.0ms	3.178784444410785e-45	1.3406654570305569e-42
1.0ms	-5.455521708517775e-88	-1.4802915913904858e-92
13.0ms	-8.305914600321552e+69	-6.947840528071128e+65

Samples

10.0ms

80×

valid

Compiler

Compiled 322 to 279 computations (13.4% saved)

Precisions

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

ival-mult: 2.0ms (63.9% of total)

ival-div: 1.0ms (32% of total)

ival-add: 1.0ms (32% 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

3.1MiB live, 3.1MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
1.0ms	3.178784444410785e-45	1.3406654570305569e-42
1.0ms	-5.455521708517775e-88	-1.4802915913904858e-92
0.0ms	-8.305914600321552e+69	-6.947840528071128e+65

Compiler

Compiled 306 to 271 computations (11.4% saved)

bsearch2.0ms (0%)

Memory

2.6MiB live, 2.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
1.0ms	-5.455521708517775e-88	-1.4802915913904858e-92
0.0ms	-8.305914600321552e+69	-6.947840528071128e+65

Compiler

Compiled 202 to 175 computations (13.4% saved)

bsearch1.0ms (0%)

Memory

2.6MiB live, 2.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-5.455521708517775e-88	-1.4802915913904858e-92

Compiler

Compiled 132 to 110 computations (16.7% saved)

bsearch17.0ms (0.2%)

Memory

-20.7MiB live, 17.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	-42860873.29139024	-3443.7635127080075

Samples

8.0ms

128×

valid

Compiler

Compiled 124 to 110 computations (11.3% saved)

Precisions

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

ival-mult: 2.0ms (41.1% of total)

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

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

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

exact: 0.0ms (0% of total)

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

bsearch23.0ms (0.2%)

Memory

32.3MiB live, 32.3MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
5.0ms	4.659866970802076e-137	6.6226626467746835e-137
15.0ms	-3.7067704380271693e-171	-3.5009077716905604e-186
1.0ms	-42860873.29139024	-3443.7635127080075

Samples

12.0ms

208×

valid

Compiler

Compiled 259 to 266 computations (-2.7% saved)

Precisions

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

ival-mult: 4.0ms (51.5% of total)

ival-add: 2.0ms (25.8% of total)

ival-div: 1.0ms (12.9% 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

-2.8MiB live, 35.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.3975982688906527	115.8295452232399
13.0ms	-3.868006607710856e-12	-6.868960118028042e-13

Samples

17.0ms

224×

valid

Compiler

Compiled 174 to 182 computations (-4.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-add: 6.0ms (50.8% of total)

ival-mult: 4.0ms (33.8% of total)

ival-div: 2.0ms (16.9% of total)

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

exact: 0.0ms (0% of total)

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

simplify33.0ms (0.3%)

Memory

11.9MiB live, 50.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	180	1556
1	206	1556

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 y (+.f64 (+.f64 x y) #s(literal 1 binary64))) #s(approx (* (/ (+ x y) x) (+ x y)) (fma.f64 (+.f64 (/.f64 y x) #s(literal 2 binary64)) y x)))
(if (<=.f64 x #s(literal -18999999999999999064581089979963101249120767266604493066770021892695906750618596520567186646577434152905173284039181572611431631767743819258237216708624384 binary64)) (/.f64 (/.f64 y (+.f64 (+.f64 x y) #s(literal 1 binary64))) #s(approx (* (/ (+ x y) x) (+ x y)) (fma.f64 #s(literal 2 binary64) y x))) (if (<=.f64 x #s(literal 3620108141084501/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096 binary64)) (.f64 (/.f64 y (+.f64 y x)) (/.f64 x (.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)))) (/.f64 (/.f64 y (+.f64 (+.f64 x y) #s(literal 1 binary64))) (*.f64 #s(approx (/ (+ x y) x) (/.f64 y x)) (+.f64 x y)))))
(if (<=.f64 y #s(literal -6194362404170639/1067993517960455041197510853084776057301352261178326384973520803911109862890320275011481043468288 binary64)) (/.f64 (/.f64 y (+.f64 (+.f64 x y) #s(literal 1 binary64))) #s(approx (* (/ (+ x y) x) (+ x y)) (fma.f64 #s(literal 2 binary64) y x))) (if (<=.f64 y #s(literal 15999999999999999995734448065970459917688624305894986980573443008389914872358780186766716153033074535098710061184459360326281505506064483522128253756112896 binary64)) (.f64 (/.f64 y (+.f64 y x)) (/.f64 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 -6194362404170639/1067993517960455041197510853084776057301352261178326384973520803911109862890320275011481043468288 binary64)) (/.f64 (/.f64 y (+.f64 (+.f64 x y) #s(literal 1 binary64))) #s(approx (* (/ (+ x y) x) (+ x y)) (fma.f64 #s(literal 2 binary64) y x))) (if (<=.f64 y #s(literal 15999999999999999995734448065970459917688624305894986980573443008389914872358780186766716153033074535098710061184459360326281505506064483522128253756112896 binary64)) (.f64 (/.f64 y (.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) (/.f64 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 -6194362404170639/1067993517960455041197510853084776057301352261178326384973520803911109862890320275011481043468288 binary64)) (/.f64 (/.f64 y (+.f64 (+.f64 x y) #s(literal 1 binary64))) #s(approx (* (/ (+ x y) x) (+ x y)) (fma.f64 #s(literal 2 binary64) y x))) (if (<=.f64 y #s(literal 2381976568446569/85070591730234615865843651857942052864 binary64)) (.f64 (/.f64 y (.f64 #s(approx (+ 1 (+ y x)) (+.f64 x #s(literal 1 binary64))) (+.f64 y x))) (/.f64 x (+.f64 y x))) (if (<=.f64 y #s(literal 7099999999999999819906780758051945909579447450413275035532925759284049870848 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 x #s(literal -84999999999999995519917154889684128242827679780085556006095128624900083455260231602776408228932026001054393069799273700681789428651035459584 binary64)) (/.f64 (/.f64 y (+.f64 (+.f64 x y) #s(literal 1 binary64))) #s(approx (* (/ (+ x y) x) (+ x y)) (fma.f64 #s(literal 2 binary64) y x))) (if (<=.f64 x #s(literal -10600000000000000002585455211265463158105255167098540919123466556276736 binary64)) (.f64 (/.f64 y (.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) #s(approx (/ x (+ y x)) #s(literal 1 binary64))) (if (<=.f64 x #s(literal -5931185178352847/219673525124179510879420825570604582952621929604585773100622830693937381868724993667921908501166545759273481964527387457187903615990932602002368905315681828864 binary64)) (/.f64 (.f64 x y) (.f64 (.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) (/.f64 #s(approx ( (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 x (+.f64 #s(literal 1 binary64) y))) (+.f64 y x)))))
(if (<=.f64 x #s(literal -84999999999999995519917154889684128242827679780085556006095128624900083455260231602776408228932026001054393069799273700681789428651035459584 binary64)) (/.f64 (/.f64 y (+.f64 (+.f64 x y) #s(literal 1 binary64))) #s(approx (* (/ (+ x y) x) (+ x y)) (fma.f64 #s(literal 2 binary64) y x))) (if (<=.f64 x #s(literal -3371566348050911/88725430211866075506509253892578678509965986412026130405455346579667881849780019937279180995332466499116518750764914298527173050368 binary64)) (.f64 (/.f64 y (.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) #s(approx (/ x (+ y x)) #s(literal 1 binary64))) (/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 x (+.f64 #s(literal 1 binary64) y))) (+.f64 y x))))
(if (<=.f64 x #s(literal -7800000000000000325234191950579772196497448136289448085833099218106588996536979287070161544269543657727606067503001599309444776276023013636007002112 binary64)) (/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 y x)) (+.f64 y x)) (if (<=.f64 x #s(literal -3371566348050911/88725430211866075506509253892578678509965986412026130405455346579667881849780019937279180995332466499116518750764914298527173050368 binary64)) (.f64 (/.f64 y (.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) #s(approx (/ x (+ y x)) #s(literal 1 binary64))) (/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 x (+.f64 #s(literal 1 binary64) y))) (+.f64 y x))))
(if (<=.f64 x #s(literal -3194017912572413/18788340662190665823115844774314696219005460391266558965658327772257672200916867547709591987078149624255479808 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 (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 x (+.f64 #s(literal 1 binary64) y))) (+.f64 y x)))
(if (<=.f64 x #s(literal -59999999999999995773094041943714949565014741174348203339444902785388389620344824035085786097244777649888122414728550688551296703458705408 binary64)) (/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 y x)) (+.f64 y x)) (if (<=.f64 x #s(literal -4658669063729833/8958978968711216842229769122273777112486581988938598139599956403855167484720643781523509973086428463104 binary64)) (.f64 (/.f64 y #s(approx ( (* (+ x y) (+ x y)) (+ (+ x y) 1)) (.f64 (fma.f64 x x x) x))) x) (/.f64 #s(approx ( (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 x (+.f64 #s(literal 1 binary64) y))) (+.f64 y x))))
(if (<=.f64 x #s(literal -59999999999999995773094041943714949565014741174348203339444902785388389620344824035085786097244777649888122414728550688551296703458705408 binary64)) (/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 y x)) (+.f64 y x)) (if (<=.f64 x #s(literal -4658669063729833/8958978968711216842229769122273777112486581988938598139599956403855167484720643781523509973086428463104 binary64)) (.f64 (/.f64 y #s(approx ( (* (+ x y) (+ x y)) (+ (+ x y) 1)) (.f64 (fma.f64 x x x) x))) x) (if (<=.f64 x #s(literal 8285774290710419/6277101735386680763835789423207666416102355444464034512896 binary64)) #s(approx (/ ( x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (fma.f64 y y y))) (/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 x y)) (+.f64 y x)))))
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#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) #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 y (+.f64 (+.f64 x y) #s(literal 1 binary64))) (/.f64 x (+.f64 x y))) (+.f64 x y))
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#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) #s(approx (/ x (+ (* y y) y)) (/.f64 x y)))

soundness1.7s (16.1%)

Memory

-38.0MiB live, 1 009.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	247
0	57	239
1	279	235
2	2559	235
0	9097	235
0	9	48
0	15	42
1	76	42
2	666	42
0	8864	42
0	976	12733
1	3460	12141
0	8339	11470
0	1032	12989
1	3624	12405
0	8229	11692
0	853	12173
1	2975	11601
0	8134	10712
0	437	2666
1	1532	2578
2	6455	2536
0	8479	2309

Stop Event

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

Compiler

Compiled 2 188 to 938 computations (57.1% saved)

preprocess264.0ms (2.5%)

Memory: 23.6MiB live, 296.0MiB allocated
Compiler: Compiled 1 708 to 402 computations (76.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze219.0ms (2.1%)

sample868.0ms (8.3%)

explain115.0ms (1.1%)

preprocess409.0ms (3.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify360.0ms (3.4%)

localize28.0ms (0.3%)

series23.0ms (0.2%)

simplify204.0ms (1.9%)

rewrite285.0ms (2.7%)

eval185.0ms (1.8%)

prune37.0ms (0.4%)

simplify530.0ms (5%)

localize99.0ms (0.9%)

series65.0ms (0.6%)

simplify264.0ms (2.5%)

rewrite230.0ms (2.2%)

eval401.0ms (3.8%)

prune252.0ms (2.4%)

simplify156.0ms (1.5%)

localize151.0ms (1.4%)

series129.0ms (1.2%)

simplify416.0ms (4%)

rewrite265.0ms (2.5%)

eval650.0ms (6.2%)

prune115.0ms (1.1%)

simplify276.0ms (2.6%)

localize135.0ms (1.3%)

series32.0ms (0.3%)

simplify201.0ms (1.9%)

rewrite240.0ms (2.3%)

eval255.0ms (2.4%)

prune78.0ms (0.7%)

regimes84.0ms (0.8%)

regimes84.0ms (0.8%)

regimes44.0ms (0.4%)

regimes40.0ms (0.4%)

regimes25.0ms (0.2%)

regimes51.0ms (0.5%)

regimes45.0ms (0.4%)

regimes21.0ms (0.2%)

regimes12.0ms (0.1%)

regimes24.0ms (0.2%)

regimes14.0ms (0.1%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

regimes5.0ms (0%)

regimes7.0ms (0.1%)

regimes7.0ms (0.1%)

regimes7.0ms (0.1%)

regimes3.0ms (0%)

regimes5.0ms (0%)

regimes6.0ms (0.1%)

bsearch27.0ms (0.3%)

bsearch35.0ms (0.3%)

bsearch2.0ms (0%)

bsearch34.0ms (0.3%)

bsearch46.0ms (0.4%)

bsearch19.0ms (0.2%)

bsearch12.0ms (0.1%)

bsearch4.0ms (0%)

bsearch29.0ms (0.3%)

bsearch19.0ms (0.2%)

bsearch16.0ms (0.1%)

bsearch16.0ms (0.2%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch1.0ms (0%)

bsearch17.0ms (0.2%)

bsearch23.0ms (0.2%)

bsearch28.0ms (0.3%)

simplify33.0ms (0.3%)

soundness1.7s (16.1%)

preprocess264.0ms (2.5%)

end0.0ms (0%)

Profiling