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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze38.0ms (0.4%)

Memory

15.8MiB live, 53.6MiB 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)

sample994.0ms (9.6%)

Memory

-143.5MiB live, 1 107.5MiB allocated

Samples

700.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 487.0ms

ival-mult: 315.0ms (64.6% of total)

ival-add: 108.0ms (22.2% of total)

ival-div: 51.0ms (10.5% of total)

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

exact: 5.0ms (1% of total)

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

Bogosity

explain131.0ms (1.3%)

Memory

-21.2MiB live, 142.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
90	-	6	(-1.8359169995188992e-78 -3.037169637752542e-240)	`(/.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	32	0
↳	`(*.f64 x y)`	overflow	32
↳	`(.f64 (.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))`	overflow	142
↳	`(*.f64 (+.f64 x y) (+.f64 x y))`	overflow	112
`/.f64`	`(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))`	n/o	22	0
↳	`(.f64 (.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))`	overflow	142
↳	`(*.f64 (+.f64 x y) (+.f64 x y))`	overflow	112
`/.f64`	`(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))`	u/n	19	0
↳	`(*.f64 x y)`	underflow	30
`/.f64`	`(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))`	u/u	11	0
↳	`(*.f64 x y)`	underflow	30
↳	`(.f64 (.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))`	underflow	11
↳	`(*.f64 (+.f64 x y) (+.f64 x y))`	underflow	11

Confusion

	Predicted +	Predicted -
+	84	6
-	0	166

Precision

1.0

Recall

0.9333333333333333

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	84	0	6
-	0	0	166

Precision?

1.0

Recall?

0.9333333333333333

Freqs

test

number	freq
0	172
1	84

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

33.0ms

512×

valid

Compiler

Compiled 174 to 40 computations (77% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 9.0ms (49.9% of total)

ival-add: 5.0ms (27.7% of total)

ival-div: 3.0ms (16.6% of total)

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

exact: 0.0ms (0% of total)

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

preprocess400.0ms (3.9%)

Memory

22.0MiB live, 337.0MiB 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 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: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	67.3%	(/.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)

simplify353.0ms (3.4%)

Memory

-3.5MiB live, 271.6MiB 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 y x) (fma.f64 (+.f64 y x) (+.f64 y x) (pow.f64 (+.f64 y x) #s(literal 3 binary64))))
(*.f64 y x)
x
y
(fma.f64 (+.f64 y x) (+.f64 y x) (pow.f64 (+.f64 y x) #s(literal 3 binary64)))
(*.f64 (+.f64 y x) (+.f64 y x))
(+.f64 y x)
(+.f64 #s(literal 1 binary64) (+.f64 y x))
#s(literal 1 binary64)

localize36.0ms (0.3%)

Memory

-6.7MiB live, 29.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x y)
accuracy	0.0234375	(*.f64 (+.f64 x y) (+.f64 x y))
accuracy	0.05078125	(.f64 (.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))
accuracy	20.686922406632394	(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))

Samples

30.0ms

256×

valid

Compiler

Compiled 104 to 20 computations (80.8% saved)

Precisions

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

ival-mult: 5.0ms (54.9% of total)

ival-div: 2.0ms (22% of total)

ival-add: 2.0ms (22% of total)

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

exact: 0.0ms (0% of total)

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

series19.0ms (0.2%)

Memory

20.8MiB live, 20.8MiB allocated

Counts

5 → 120

Calls

Call 1

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

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

Calls

6 calls:

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

simplify303.0ms (2.9%)

Memory

13.6MiB live, 293.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 114

Calls

Call 1

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

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

rewrite197.0ms (1.9%)

Memory

10.3MiB live, 348.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

5 → 818

Calls

Call 1

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

Outputs
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eval352.0ms (3.4%)

Memory: -23.8MiB live, 336.7MiB allocated
Compiler: Compiled 34 802 to 3 451 computations (90.1% saved)

prune43.0ms (0.4%)

Memory

1.0MiB live, 92.1MiB allocated

Pruning

26 alts after pruning (25 fresh and 1 done)

	Pruned	Kept	Total
New	1 059	25	1 084
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	1 059	26	1 085

Accuracy

100.0%

Counts

1 085 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	87.8%	(/.f64 (/.f64 x (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) y))
	92.5%	(/.f64 (.f64 (/.f64 y (+.f64 y x)) x) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)))
▶	99.9%	(/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (/.f64 x (+.f64 y x))) (+.f64 y x))
▶	92.5%	(/.f64 (.f64 (/.f64 x (+.f64 y x)) y) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)))
	67.4%	(/.f64 (.f64 x y) (.f64 (fma.f64 (+.f64 y x) y (*.f64 (+.f64 y x) x)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))
	67.4%	(/.f64 (.f64 x y) (.f64 (fma.f64 y y (fma.f64 y x (*.f64 (+.f64 y x) x))) (+.f64 (+.f64 x y) #s(literal 1 binary64))))
✓	67.3%	(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))
	41.7%	(/.f64 (.f64 x y) (.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))
	34.9%	(/.f64 (.f64 x y) (.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 y y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))
▶	36.0%	(/.f64 (.f64 x y) (.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))
	33.9%	(/.f64 (.f64 x y) #s(approx ( (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 y y y) y)))
	34.6%	(/.f64 (.f64 x y) #s(approx ( (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 x x x) x)))
	71.7%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)) (/.f64 (.f64 y x) (+.f64 y x))))
	99.6%	(.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (pow.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) x) (/.f64 (+.f64 y x) y)) #s(literal -1 binary64)))
	92.5%	(.f64 (/.f64 y (+.f64 y x)) (/.f64 x (.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))))
	92.5%	(.f64 (/.f64 y (.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) (/.f64 x (+.f64 y x)))
	99.8%	(*.f64 (/.f64 x (+.f64 y x)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x)))
▶	71.9%	(.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)))))
	84.8%	(.f64 (.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (pow.f64 (+.f64 y x) #s(literal -2 binary64))) x)
	34.9%	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 (-.f64 y (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) x)) x) x))
	38.2%	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y)) y) y))
	33.5%	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (-.f64 y (/.f64 (fma.f64 (neg.f64 y) (/.f64 (fma.f64 (neg.f64 y) y (fma.f64 (fma.f64 y y y) #s(literal -2 binary64) (pow.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) #s(literal 2 binary64)))) x) (.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y)) x)) (.f64 x x)))
	48.2%	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (fma.f64 x x x)))
	36.3%	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (*.f64 x x)))
	47.8%	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (fma.f64 y y y)))
▶	37.5%	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (*.f64 y y)))

Compiler

Compiled 1 133 to 617 computations (45.5% saved)

simplify264.0ms (2.5%)

Memory

23.9MiB live, 99.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y x)
cost-diff	0	(+.f64 y x)
cost-diff	0	(/.f64 #s(literal -1 binary64) (+.f64 y x))
cost-diff	128	(*.f64 (neg.f64 (+.f64 y x)) (+.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 y x)
cost-diff	0	(/.f64 x (+.f64 y x))
cost-diff	0	(*.f64 (/.f64 x (+.f64 y x)) y)
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (* (+ x y) (+ x y)) (*.f64 x x))
cost-diff	0	(.f64 #s(approx ( (+ x y) (+ x y)) (*.f64 x x)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))
cost-diff	0	(*.f64 x y)
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	35	269
0	59	266
1	177	266
2	549	266
3	1909	264
4	6919	264
0	8131	260

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

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

localize282.0ms (2.7%)

Memory

-53.1MiB live, 180.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.015625	(*.f64 (neg.f64 (+.f64 y x)) (+.f64 #s(literal 1 binary64) (+.f64 y x)))
accuracy	0.0234375	(/.f64 #s(literal -1 binary64) (+.f64 y x))
accuracy	0.1328125	(.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)))))
accuracy	25.704998502100523	(/.f64 (.f64 y x) (.f64 (neg.f64 (+.f64 y x)) (+.f64 #s(literal 1 binary64) (+.f64 y x))))
accuracy	0.015625	(/.f64 x (+.f64 y x))
accuracy	0.015625	(*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))
accuracy	4.773246256401843	(/.f64 (.f64 (/.f64 x (+.f64 y x)) y) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)))
accuracy	5.662562619630175	(*.f64 (/.f64 x (+.f64 y x)) y)
accuracy	0	(*.f64 x x)
accuracy	0.05078125	(.f64 #s(approx ( (+ x y) (+ x y)) (*.f64 x x)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))
accuracy	20.686922406632394	(/.f64 (.f64 x y) (.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))
accuracy	28.736078999898826	#s(approx (* (+ x y) (+ x y)) (*.f64 x x))
accuracy	0	(*.f64 y y)
accuracy	8.625898997249452	(/.f64 x (*.f64 y y))
accuracy	37.79021998114305	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (*.f64 y y)))
accuracy	0.015625	(/.f64 x (+.f64 y x))
accuracy	0.01953125	(/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x)))
accuracy	0.0234375	(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (/.f64 x (+.f64 y x)))
accuracy	0.05859375	(/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (/.f64 x (+.f64 y x))) (+.f64 y x))

Samples

239.0ms

256×

valid

Compiler

Compiled 522 to 66 computations (87.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 222.0ms

ival-mult: 191.0ms (86.2% of total)

ival-add: 16.0ms (7.2% of total)

ival-div: 12.0ms (5.4% of total)

ival-neg: 1.0ms (0.5% of total)

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

exact: 0.0ms (0% of total)

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

series60.0ms (0.6%)

Memory

26.0MiB live, 101.9MiB allocated

Counts

22 → 504

Calls

Call 1

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

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

6 calls:

Time	Variable		Point	Expression
12.0ms	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 x) (* (/ x (+ y x)) y) (/ x (+ y x)) (* (+ 1 (+ y x)) (+ y x)) (* (neg (+ y x)) (+ 1 (+ y x))) (/ -1 (+ y x)) (* y x) (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/ (* (/ x (+ y x)) y) (* (+ 1 (+ y x)) (+ y x))) (/ (* y x) (* (neg (+ y x)) (+ 1 (+ y x)))) (* (/ -1 (+ y x)) (/ (* y x) (* (neg (+ y x)) (+ 1 (+ y x))))))
10.0ms	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 x) (* (/ x (+ y x)) y) (/ x (+ y x)) (* (+ 1 (+ y x)) (+ y x)) (* (neg (+ y x)) (+ 1 (+ y x))) (/ -1 (+ y x)) (* y x) (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/ (* (/ x (+ y x)) y) (* (+ 1 (+ y x)) (+ y x))) (/ (* y x) (* (neg (+ y x)) (+ 1 (+ y x)))) (* (/ -1 (+ y x)) (/ (* y x) (* (neg (+ y x)) (+ 1 (+ y x))))))
5.0ms	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 x) (* (/ x (+ y x)) y) (/ x (+ y x)) (* (+ 1 (+ y x)) (+ y x)) (* (neg (+ y x)) (+ 1 (+ y x))) (/ -1 (+ y x)) (* y x) (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/ (* (/ x (+ y x)) y) (* (+ 1 (+ y x)) (+ y x))) (/ (* y x) (* (neg (+ y x)) (+ 1 (+ y x)))) (* (/ -1 (+ y x)) (/ (* y x) (* (neg (+ y x)) (+ 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 x) (* (/ x (+ y x)) y) (/ x (+ y x)) (* (+ 1 (+ y x)) (+ y x)) (* (neg (+ y x)) (+ 1 (+ y x))) (/ -1 (+ y x)) (* y x) (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/ (* (/ x (+ y x)) y) (* (+ 1 (+ y x)) (+ y x))) (/ (* y x) (* (neg (+ y x)) (+ 1 (+ y x)))) (* (/ -1 (+ y x)) (/ (* y x) (* (neg (+ y x)) (+ 1 (+ y x))))))
5.0ms	x	@	0	((* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/ y (+ 1 (+ y x))) (+ 1 (+ y x)) (+ y x) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/ x (* y y)) (* y y) (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (* (+ x y) (+ x y)) (* x x) (* (/ x (+ y x)) y) (/ x (+ y x)) (* (+ 1 (+ y x)) (+ y x)) (* (neg (+ y x)) (+ 1 (+ y x))) (/ -1 (+ y x)) (* y x) (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/ (* (/ x (+ y x)) y) (* (+ 1 (+ y x)) (+ y x))) (/ (* y x) (* (neg (+ y x)) (+ 1 (+ y x)))) (* (/ -1 (+ y x)) (/ (* y x) (* (neg (+ y x)) (+ 1 (+ y x))))))

simplify227.0ms (2.2%)

Memory

5.2MiB live, 312.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1217	13015
1	4181	12363
0	8498	11617

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 488

Calls

Call 1

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

rewrite377.0ms (3.6%)

Memory

-15.9MiB live, 374.2MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	221
0	58	210
1	286	204
2	2528	204
0	8728	204

Stop Event

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

Counts

22 → 1 708

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

Outputs
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eval571.0ms (5.5%)

Memory: 53.3MiB live, 1 085.7MiB allocated
Compiler: Compiled 99 315 to 7 857 computations (92.1% saved)

prune114.0ms (1.1%)

Memory

-27.7MiB live, 279.9MiB allocated

Pruning

31 alts after pruning (28 fresh and 3 done)

	Pruned	Kept	Total
New	3 277	20	3 297
Fresh	12	8	20
Picked	3	2	5
Done	0	1	1
Total	3 292	31	3 323

Accuracy

100.0%

Counts

3 323 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.8%	(/.f64 (/.f64 (/.f64 y (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))) (/.f64 (+.f64 x y) x))
	46.0%	(/.f64 (/.f64 x #s(approx (* (+ x y) (+ x y)) (*.f64 x x))) (/.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) y))
	71.9%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (.f64 x y))) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)))
	92.5%	(/.f64 (.f64 (/.f64 y (+.f64 y x)) x) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)))
✓	99.9%	(/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (/.f64 x (+.f64 y x))) (+.f64 y x))
	50.3%	(/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) #s(approx (/ x (+ y x)) #s(literal 1 binary64))) (+.f64 y x))
	74.2%	(/.f64 (.f64 (/.f64 x (+.f64 y x)) y) (.f64 #s(approx (+ 1 (+ y x)) (+.f64 #s(literal 1 binary64) y)) (+.f64 y x)))
	42.3%	(/.f64 (*.f64 #s(approx (/ y (+ 1 (+ y x))) #s(literal 1 binary64)) (/.f64 x (+.f64 y x))) (+.f64 y x))
	66.1%	(/.f64 (.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) y) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)))
▶	99.8%	(/.f64 (*.f64 x (/.f64 (/.f64 y (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) (+.f64 y x))
	67.4%	(/.f64 (.f64 x y) (.f64 (fma.f64 (+.f64 y x) y (*.f64 (+.f64 y x) x)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))
	67.4%	(/.f64 (.f64 x y) (.f64 (fma.f64 y y (fma.f64 y x (*.f64 (+.f64 y x) x))) (+.f64 (+.f64 x y) #s(literal 1 binary64))))
✓	67.3%	(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))
	41.7%	(/.f64 (.f64 x y) (.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))
	33.9%	(/.f64 (.f64 x y) #s(approx ( (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 y y y) y)))
	34.6%	(/.f64 (.f64 x y) #s(approx ( (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 x x x) x)))
	49.5%	(/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 y (+.f64 #s(literal 1 binary64) x))) (+.f64 y x))
	37.7%	(/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 y x)) (+.f64 y x))
	52.0%	(/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 x (+.f64 #s(literal 1 binary64) y))) (+.f64 y x))
	41.4%	(/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 x y)) (+.f64 y x))
	99.0%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (*.f64 (/.f64 (/.f64 x (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))) y)))
	51.9%	(.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) #s(approx (/ ( y x) (* (neg (+ y x)) (+ 1 (+ y x)))) (/.f64 x (-.f64 #s(literal -1 binary64) y))))
	41.4%	(.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) #s(approx (/ ( y x) (* (neg (+ y x)) (+ 1 (+ y x)))) (/.f64 x (neg.f64 y))))
▶	33.7%	#s(approx (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/.f64 (-.f64 y (/.f64 (.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) x)) (.f64 x x)))
▶	36.3%	#s(approx (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/.f64 y (*.f64 x x)))
	40.9%	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 x y) y))
	48.2%	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (fma.f64 x x x)))
	47.8%	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (fma.f64 y y y)))
✓	37.5%	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (*.f64 y y)))
▶	37.4%	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x)))
▶	40.9%	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (*.f64 (neg.f64 (/.f64 x y)) (/.f64 #s(literal 1 binary64) (neg.f64 y))))

Compiler

Compiled 1 293 to 728 computations (43.7% saved)

simplify121.0ms (1.2%)

Memory

33.3MiB live, 188.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y)
cost-diff	0	(/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) x)
cost-diff	0	#s(approx (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/.f64 (-.f64 y (/.f64 (.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) x)) (.f64 x x)))
cost-diff	128	(-.f64 y (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) x))
cost-diff	0	(neg.f64 (/.f64 x y))
cost-diff	0	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (*.f64 (neg.f64 (/.f64 x y)) (/.f64 #s(literal 1 binary64) (neg.f64 y))))
cost-diff	128	(/.f64 #s(literal 1 binary64) (neg.f64 y))
cost-diff	448	(*.f64 (neg.f64 (/.f64 x y)) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
cost-diff	0	(*.f64 y y)
cost-diff	0	(/.f64 (*.f64 y y) x)
cost-diff	0	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x)))
cost-diff	320	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y 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 x y)
cost-diff	0	(/.f64 y (+.f64 x y))
cost-diff	0	(/.f64 (/.f64 y (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))
cost-diff	0	(*.f64 x (/.f64 (/.f64 y (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	269
0	66	265
1	149	264
2	391	256
3	1055	256
4	3799	256
5	5542	256
0	8116	248

Stop Event

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

Calls

Call 1

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

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

localize178.0ms (1.7%)

Memory

-40.9MiB live, 221.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.08203125	(*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y)
accuracy	4.926873281530631	(/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) x)
accuracy	6.115722923295437	(/.f64 (-.f64 y (/.f64 (.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) x)) (.f64 x x))
accuracy	40.29702943029199	#s(approx (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/.f64 (-.f64 y (/.f64 (.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) x)) (.f64 x x)))
accuracy	0	(neg.f64 (/.f64 x y))
accuracy	0	(neg.f64 y)
accuracy	0.171875	(*.f64 (neg.f64 (/.f64 x y)) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
accuracy	37.79021998114305	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (*.f64 (neg.f64 (/.f64 x y)) (/.f64 #s(literal 1 binary64) (neg.f64 y))))
accuracy	0	(*.f64 y y)
accuracy	0.5091557656272386	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x))
accuracy	8.427496078749012	(/.f64 (*.f64 y y) x)
accuracy	37.79021998114305	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x)))
accuracy	0	(*.f64 x x)
accuracy	6.41997196005199	(/.f64 y (*.f64 x x))
accuracy	40.23970540444152	#s(approx (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/.f64 y (*.f64 x x)))
accuracy	0.01953125	(/.f64 (/.f64 y (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))
accuracy	0.0234375	(/.f64 y (+.f64 x y))
accuracy	0.05859375	(/.f64 (*.f64 x (/.f64 (/.f64 y (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) (+.f64 y x))
accuracy	8.350344981598303	(*.f64 x (/.f64 (/.f64 y (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))

Samples

103.0ms	229×	0	valid
8.0ms	19×	1	valid
4.0ms	8×	2	valid

Compiler

Compiled 506 to 81 computations (84% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-div: 24.0ms (37.2% of total)

ival-add: 20.0ms (31% of total)

ival-mult: 15.0ms (23.3% of total)

adjust: 2.0ms (3.1% of total)

ival-neg: 2.0ms (3.1% of total)

ival-sub: 1.0ms (1.6% of total)

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

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

exact: 0.0ms (0% of total)

series54.0ms (0.5%)

Memory

-2.0MiB live, 110.4MiB allocated

Counts

22 → 468

Calls

Call 1

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

Outputs
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 x (/.f64 (/.f64 y (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 x (/.f64 (/.f64 y (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 x (/.f64 (/.f64 y (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 x (/.f64 (/.f64 y (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (/.f64 y (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (/.f64 y (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (/.f64 y (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (/.f64 y (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 y (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 y (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 y (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 y (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/.f64 y (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/.f64 y (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/.f64 y (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/.f64 y (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 y (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 y (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 y (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 y (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (*.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (*.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (*.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (*.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (neg.f64 (/.f64 x y)) (/.f64 #s(literal 1 binary64) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (neg.f64 (/.f64 x y)) (/.f64 #s(literal 1 binary64) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (neg.f64 (/.f64 x y)) (/.f64 #s(literal 1 binary64) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (neg.f64 (/.f64 x y)) (/.f64 #s(literal 1 binary64) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (neg.f64 y)) #<representation binary64>) () ())) ())
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Calls

6 calls:

Time	Variable		Point	Expression
13.0ms	y	@	-inf	((* x (/ (/ y (+ x y)) (+ (+ x y) 1))) (/ (/ y (+ x y)) (+ (+ x y) 1)) (/ y (+ x y)) (+ 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 y) (* (neg (/ x y)) (/ 1 (neg y))) (/ 1 (neg y)) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (neg (/ x y)) (- y (/ (* (+ (* 3 y) 1) y) x)) (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/ (* (+ (* 3 y) 1) y) x) (* (+ (* 3 y) 1) y) (/ (* x (/ (/ y (+ x y)) (+ (+ x y) 1))) (+ y x)) (neg y) (/ (- y (/ (* (+ (* 3 y) 1) y) x)) (* x x)))
6.0ms	x	@	-inf	((* x (/ (/ y (+ x y)) (+ (+ x y) 1))) (/ (/ y (+ x y)) (+ (+ x y) 1)) (/ y (+ x y)) (+ 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 y) (* (neg (/ x y)) (/ 1 (neg y))) (/ 1 (neg y)) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (neg (/ x y)) (- y (/ (* (+ (* 3 y) 1) y) x)) (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/ (* (+ (* 3 y) 1) y) x) (* (+ (* 3 y) 1) y) (/ (* x (/ (/ y (+ x y)) (+ (+ x y) 1))) (+ y x)) (neg y) (/ (- y (/ (* (+ (* 3 y) 1) y) x)) (* x x)))
5.0ms	y	@	0	((* x (/ (/ y (+ x y)) (+ (+ x y) 1))) (/ (/ y (+ x y)) (+ (+ x y) 1)) (/ y (+ x y)) (+ 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 y) (* (neg (/ x y)) (/ 1 (neg y))) (/ 1 (neg y)) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (neg (/ x y)) (- y (/ (* (+ (* 3 y) 1) y) x)) (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/ (* (+ (* 3 y) 1) y) x) (* (+ (* 3 y) 1) y) (/ (* x (/ (/ y (+ x y)) (+ (+ x y) 1))) (+ y x)) (neg y) (/ (- y (/ (* (+ (* 3 y) 1) y) x)) (* x x)))
5.0ms	y	@	inf	((* x (/ (/ y (+ x y)) (+ (+ x y) 1))) (/ (/ y (+ x y)) (+ (+ x y) 1)) (/ y (+ x y)) (+ 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 y) (* (neg (/ x y)) (/ 1 (neg y))) (/ 1 (neg y)) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (neg (/ x y)) (- y (/ (* (+ (* 3 y) 1) y) x)) (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/ (* (+ (* 3 y) 1) y) x) (* (+ (* 3 y) 1) y) (/ (* x (/ (/ y (+ x y)) (+ (+ x y) 1))) (+ y x)) (neg y) (/ (- y (/ (* (+ (* 3 y) 1) y) x)) (* x x)))
3.0ms	x	@	0	((* x (/ (/ y (+ x y)) (+ (+ x y) 1))) (/ (/ y (+ x y)) (+ (+ x y) 1)) (/ y (+ x y)) (+ 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 y) (* (neg (/ x y)) (/ 1 (neg y))) (/ 1 (neg y)) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (neg (/ x y)) (- y (/ (* (+ (* 3 y) 1) y) x)) (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/ (* (+ (* 3 y) 1) y) x) (* (+ (* 3 y) 1) y) (/ (* x (/ (/ y (+ x y)) (+ (+ x y) 1))) (+ y x)) (neg y) (/ (- y (/ (* (+ (* 3 y) 1) y) x)) (* x x)))

simplify264.0ms (2.5%)

Memory

4.6MiB live, 277.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	732	11536
1	2633	11042
0	8567	10239

Stop Event

1×	iter limit
1×	node limit

Counts

468 → 459

Calls

Call 1

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

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

rewrite314.0ms (3%)

Memory

22.8MiB live, 274.1MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	236
0	66	228
1	310	213
2	2647	213
0	9103	213

Stop Event

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

Counts

22 → 892

Calls

Call 1

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

Outputs
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eval291.0ms (2.8%)

Memory: 18.7MiB live, 317.5MiB allocated
Compiler: Compiled 50 832 to 4 222 computations (91.7% saved)

prune179.0ms (1.7%)

Memory

-5.6MiB live, 188.6MiB allocated

Pruning

32 alts after pruning (27 fresh and 5 done)

	Pruned	Kept	Total
New	1 449	11	1 460
Fresh	7	16	23
Picked	3	2	5
Done	0	3	3
Total	1 459	32	1 491

Accuracy

100.0%

Counts

1 491 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	92.5%	(/.f64 (.f64 (/.f64 y (+.f64 y x)) x) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)))
✓	99.9%	(/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (/.f64 x (+.f64 y x))) (+.f64 y x))
	50.3%	(/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) #s(approx (/ x (+ y x)) #s(literal 1 binary64))) (+.f64 y x))
	74.2%	(/.f64 (.f64 (/.f64 x (+.f64 y x)) y) (.f64 #s(approx (+ 1 (+ y x)) (+.f64 #s(literal 1 binary64) y)) (+.f64 y x)))
	42.3%	(/.f64 (*.f64 #s(approx (/ y (+ 1 (+ y x))) #s(literal 1 binary64)) (/.f64 x (+.f64 y x))) (+.f64 y x))
	66.1%	(/.f64 (.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) y) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)))
✓	99.8%	(/.f64 (*.f64 x (/.f64 (/.f64 y (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) (+.f64 y x))
	52.5%	(/.f64 (*.f64 x (/.f64 #s(approx (/ y (+ x y)) #s(literal 1 binary64)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) (+.f64 y x))
	41.3%	(/.f64 (*.f64 x #s(approx (/ (/ y (+ x y)) (+ (+ x y) 1)) (/.f64 #s(literal 1 binary64) y))) (+.f64 y x))
	67.4%	(/.f64 (.f64 x y) (.f64 (fma.f64 (+.f64 y x) y (*.f64 (+.f64 y x) x)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))
	67.4%	(/.f64 (.f64 x y) (.f64 (fma.f64 y y (fma.f64 y x (*.f64 (+.f64 y x) x))) (+.f64 (+.f64 x y) #s(literal 1 binary64))))
✓	67.3%	(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))
	41.7%	(/.f64 (.f64 x y) (.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))
	33.9%	(/.f64 (.f64 x y) #s(approx ( (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 y y y) y)))
	34.6%	(/.f64 (.f64 x y) #s(approx ( (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 x x x) x)))
	49.5%	(/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 y (+.f64 #s(literal 1 binary64) x))) (+.f64 y x))
	37.7%	(/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 y x)) (+.f64 y x))
	52.0%	(/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 x (+.f64 #s(literal 1 binary64) y))) (+.f64 y x))
	41.4%	(/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 x y)) (+.f64 y x))
	51.9%	(.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) #s(approx (/ ( y x) (* (neg (+ y x)) (+ 1 (+ y x)))) (/.f64 x (-.f64 #s(literal -1 binary64) y))))
	41.4%	(.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) #s(approx (/ ( y x) (* (neg (+ y x)) (+ 1 (+ y x)))) (/.f64 x (neg.f64 y))))
	37.1%	#s(approx (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/.f64 (/.f64 y x) x))
	40.9%	#s(approx (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/.f64 (/.f64 x y) y))
	33.7%	#s(approx (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/.f64 (-.f64 y (/.f64 #s(approx (* (+ (* 3 y) 1) y) (.f64 (.f64 #s(literal 3 binary64) y) y)) x)) (*.f64 x x)))
	48.2%	#s(approx (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/.f64 y (fma.f64 x x x)))
✓	36.3%	#s(approx (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/.f64 y (*.f64 x x)))
▶	47.8%	#s(approx (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/.f64 x (fma.f64 y y y)))
	36.9%	#s(approx (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 x y))))
▶	40.9%	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (/.f64 y x))))
✓	37.5%	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (*.f64 y y)))
▶	40.3%	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)))
▶	40.9%	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y)))

Compiler

Compiled 1 341 to 760 computations (43.3% saved)

simplify293.0ms (2.8%)

Memory

-36.3MiB live, 178.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 (/.f64 y x))
cost-diff	0	(/.f64 #s(literal -1 binary64) y)
cost-diff	0	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (/.f64 y x))))
cost-diff	832	(/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (/.f64 y x)))
cost-diff	0	(neg.f64 x)
cost-diff	0	(/.f64 (neg.f64 x) y)
cost-diff	0	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y)))
cost-diff	448	(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y))
cost-diff	0	(/.f64 y x)
cost-diff	0	(*.f64 (/.f64 y x) y)
cost-diff	0	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)))
cost-diff	320	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))
cost-diff	0	(fma.f64 y y y)
cost-diff	0	(/.f64 x (fma.f64 y y y))
cost-diff	0	#s(approx (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/.f64 x (fma.f64 y y y)))
cost-diff	0	(*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))
cost-diff	0	(+.f64 y x)
cost-diff	0	(/.f64 y (+.f64 y x))
cost-diff	0	(*.f64 (/.f64 y (+.f64 y x)) x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	221
0	57	217
1	147	217
2	399	205
3	958	205
4	4122	205
5	6939	205
0	8066	200

Stop Event

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

Calls

Call 1

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

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

localize124.0ms (1.2%)

Memory

2.8MiB live, 85.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal -1 binary64) y)
accuracy	0	(neg.f64 (/.f64 y x))
accuracy	0.19140625	(/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (/.f64 y x)))
accuracy	37.79021998114305	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (/.f64 y x))))
accuracy	0	(/.f64 #s(literal -1 binary64) y)
accuracy	0	(neg.f64 x)
accuracy	0.171875	(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y))
accuracy	37.79021998114305	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y)))
accuracy	0	(/.f64 y x)
accuracy	0.13671875	(*.f64 (/.f64 y x) y)
accuracy	0.5091557656272386	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))
accuracy	37.79021998114305	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)))
accuracy	0	(fma.f64 y y y)
accuracy	5.2574818280794675	(/.f64 x (fma.f64 y y y))
accuracy	31.220689950225317	#s(approx (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/.f64 x (fma.f64 y y y)))
accuracy	0.015625	(*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))
accuracy	0.0234375	(/.f64 y (+.f64 y x))
accuracy	4.773246256401843	(/.f64 (.f64 (/.f64 y (+.f64 y x)) x) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)))
accuracy	6.751763930201212	(*.f64 (/.f64 y (+.f64 y x)) x)

Samples

59.0ms

256×

valid

Compiler

Compiled 413 to 72 computations (82.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-div: 22.0ms (50.5% of total)

ival-mult: 13.0ms (29.9% of total)

ival-add: 6.0ms (13.8% of total)

ival-neg: 2.0ms (4.6% of total)

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

exact: 0.0ms (0% of total)

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

series30.0ms (0.3%)

Memory

26.0MiB live, 26.0MiB allocated

Counts

20 → 444

Calls

Call 1

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

Outputs
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Calls

6 calls:

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

simplify189.0ms (1.8%)

Memory

8.6MiB live, 237.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	501	9344
1	1720	9012
2	6392	8924
0	8645	8209

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 431

Calls

Call 1

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

rewrite226.0ms (2.2%)

Memory

-2.3MiB live, 319.2MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	196
0	57	186
1	279	170
2	2375	170
0	8524	170

Stop Event

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

Counts

20 → 1 182

Calls

Call 1

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

Outputs
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eval332.0ms (3.2%)

Memory: 18.8MiB live, 567.6MiB allocated
Compiler: Compiled 60 905 to 4 376 computations (92.8% saved)

prune72.0ms (0.7%)

Memory

-25.4MiB live, 212.8MiB allocated

Pruning

35 alts after pruning (25 fresh and 10 done)

	Pruned	Kept	Total
New	1 910	8	1 918
Fresh	5	17	22
Picked	0	5	5
Done	0	5	5
Total	1 915	35	1 950

Accuracy

100.0%

Counts

1 950 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	92.5%	(/.f64 (.f64 (/.f64 y (+.f64 y x)) x) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)))
✓	99.9%	(/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (/.f64 x (+.f64 y x))) (+.f64 y x))
	50.3%	(/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) #s(approx (/ x (+ y x)) #s(literal 1 binary64))) (+.f64 y x))
	74.2%	(/.f64 (.f64 (/.f64 x (+.f64 y x)) y) (.f64 #s(approx (+ 1 (+ y x)) (+.f64 #s(literal 1 binary64) y)) (+.f64 y x)))
	63.6%	(/.f64 (.f64 #s(approx (/ y (+ y x)) #s(literal 1 binary64)) x) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)))
	42.3%	(/.f64 (*.f64 #s(approx (/ y (+ 1 (+ y x))) #s(literal 1 binary64)) (/.f64 x (+.f64 y x))) (+.f64 y x))
	66.1%	(/.f64 (.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) y) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)))
✓	99.8%	(/.f64 (*.f64 x (/.f64 (/.f64 y (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) (+.f64 y x))
	52.5%	(/.f64 (*.f64 x (/.f64 #s(approx (/ y (+ x y)) #s(literal 1 binary64)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) (+.f64 y x))
	67.4%	(/.f64 (.f64 x y) (.f64 (fma.f64 (+.f64 y x) y (*.f64 (+.f64 y x) x)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))
	67.4%	(/.f64 (.f64 x y) (.f64 (fma.f64 y y (fma.f64 y x (*.f64 (+.f64 y x) x))) (+.f64 (+.f64 x y) #s(literal 1 binary64))))
✓	67.3%	(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))
	41.7%	(/.f64 (.f64 x y) (.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))
	33.9%	(/.f64 (.f64 x y) #s(approx ( (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 y y y) y)))
	34.6%	(/.f64 (.f64 x y) #s(approx ( (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 x x x) x)))
	49.5%	(/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 y (+.f64 #s(literal 1 binary64) x))) (+.f64 y x))
	37.7%	(/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 y x)) (+.f64 y x))
	52.0%	(/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 x (+.f64 #s(literal 1 binary64) y))) (+.f64 y x))
	41.4%	(/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 x y)) (+.f64 y x))
	41.4%	(.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) #s(approx (/ ( y x) (* (neg (+ y x)) (+ 1 (+ y x)))) (/.f64 x (neg.f64 y))))
	37.1%	#s(approx (/ (* (/ y (+ y x)) x) (* (+ 1 (+ y x)) (+ y x))) (/.f64 (/.f64 y x) x))
	40.9%	#s(approx (/ (* (/ y (+ y x)) x) (* (+ 1 (+ y x)) (+ y x))) (/.f64 (/.f64 x y) y))
	48.2%	#s(approx (/ (* (/ y (+ y x)) x) (* (+ 1 (+ y x)) (+ y x))) (/.f64 y (fma.f64 x x x)))
	51.2%	#s(approx (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y))
	33.7%	#s(approx (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/.f64 (-.f64 y (/.f64 #s(approx (* (+ (* 3 y) 1) y) (.f64 (.f64 #s(literal 3 binary64) y) y)) x)) (*.f64 x x)))
✓	36.3%	#s(approx (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/.f64 y (*.f64 x x)))
✓	47.8%	#s(approx (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/.f64 x (fma.f64 y y y)))
	47.7%	#s(approx (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y y) x)))
	36.9%	#s(approx (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 x y))))
	22.8%	#s(approx (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) #s(approx (/ x (+ (* y y) y)) (/.f64 x y)))
✓	40.9%	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (/.f64 y x))))
✓	37.5%	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (*.f64 y y)))
✓	40.3%	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)))
	38.2%	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 y)) x))
✓	40.9%	#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y)))

Compiler

Compiled 2 282 to 701 computations (69.3% saved)

regimes80.0ms (0.8%)

Memory

15.1MiB live, 132.0MiB allocated

Counts

65 → 1

Calls

Call 1

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

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

Calls

3 calls:

39.0ms	x
20.0ms	(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))
19.0ms	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)

regimes57.0ms (0.5%)

Memory

13.7MiB live, 133.2MiB allocated

Counts

55 → 1

Calls

Call 1

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

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

Calls

3 calls:

20.0ms	x
18.0ms	y
16.0ms	(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))

Results

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes60.0ms (0.6%)

Memory

-34.9MiB live, 137.7MiB allocated

Counts

54 → 1

Calls

Call 1

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

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

Calls

3 calls:

22.0ms	x
18.0ms	(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))
17.0ms	y

Results

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes96.0ms (0.9%)

Memory

20.5MiB live, 96.6MiB allocated

Counts

53 → 2

Calls

Call 1

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

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

Calls

3 calls:

50.0ms	x
30.0ms	y
13.0ms	(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
95.5%	2	`x`
97.5%	2	`y`
92.5%	1	`(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes18.0ms (0.2%)

Memory

11.0MiB live, 47.2MiB allocated

Counts

45 → 2

Calls

Call 1

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

Calls

1 calls:

15.0ms

Results

Accuracy	Segments	Branch
97.4%	2	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes50.0ms (0.5%)

Memory

-6.8MiB live, 105.3MiB allocated

Counts

44 → 4

Calls

Call 1

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

Calls

3 calls:

18.0ms	y
16.0ms	x
14.0ms	(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
80.5%	2	`(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))`
95.2%	4	`x`
92.7%	4	`y`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes35.0ms (0.3%)

Memory

1.8MiB live, 83.4MiB allocated

Counts

43 → 4

Calls

Call 1

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

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

Calls

2 calls:

19.0ms	y
14.0ms	x

Results

Accuracy	Segments	Branch
92.1%	4	`y`
85.5%	2	`x`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes24.0ms (0.2%)

Memory

-4.9MiB live, 32.8MiB allocated

Counts

40 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

22.0ms

Results

Accuracy	Segments	Branch
90.1%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes37.0ms (0.4%)

Memory

-5.5MiB live, 64.6MiB allocated

Counts

29 → 2

Calls

Call 1

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

Outputs

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

23.0ms	x
9.0ms	y

Results

Accuracy	Segments	Branch
85.5%	2	`x`
85.3%	2	`y`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes27.0ms (0.3%)

Memory

23.5MiB live, 65.7MiB allocated

Counts

28 → 2

Calls

Call 1

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

Outputs

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

Results

Accuracy	Segments	Branch
85.3%	2	`y`
81.6%	2	`x`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes10.0ms (0.1%)

Memory

4.9MiB live, 43.9MiB allocated

Counts

24 → 2

Calls

Call 1

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

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

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
84.5%	2	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes11.0ms (0.1%)

Memory

-0.8MiB live, 36.9MiB allocated

Counts

23 → 2

Calls

Call 1

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

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
84.1%	2	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes7.0ms (0.1%)

Memory

-13.5MiB live, 25.1MiB allocated

Counts

14 → 3

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
84.1%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes17.0ms (0.2%)

Memory

-29.1MiB live, 38.5MiB allocated

Counts

9 → 2

Calls

Call 1

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

3 calls:

9.0ms	x
4.0ms	y
3.0ms	(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
52.4%	3	`(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))`
76.8%	2	`x`
79.3%	2	`y`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes6.0ms (0.1%)

Memory

14.0MiB live, 14.0MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
76.8%	2	`x`
68.2%	2	`y`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes3.0ms (0%)

Memory

5.2MiB live, 5.2MiB allocated

Counts

4 → 4

Calls

Call 1

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
72.1%	4	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes15.0ms (0.1%)

Memory

-23.6MiB live, 15.7MiB allocated

Counts

2 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

11.0ms	(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))
2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
37.5%	1	`(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))`
47.0%	3	`y`
43.1%	3	`x`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes4.0ms (0%)

Memory

13.8MiB live, 13.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
22.8%	1	`(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))`
22.8%	1	`x`
22.8%	1	`y`

Compiler

Compiled 19 to 13 computations (31.6% saved)

bsearch14.0ms (0.1%)

Memory

-3.5MiB live, 35.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	6.455813202599083e+125	2.394168560497389e+127

Samples

8.0ms

112×

valid

Compiler

Compiled 286 to 175 computations (38.8% saved)

Precisions

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

ival-mult: 2.0ms (52.7% of total)

ival-div: 1.0ms (26.3% of total)

ival-add: 1.0ms (26.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

3.6MiB live, 3.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	6.455813202599083e+125	2.394168560497389e+127

Compiler

Compiled 286 to 175 computations (38.8% saved)

bsearch35.0ms (0.3%)

Memory

11.7MiB live, 90.4MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
16.0ms	2.5232378545220955e-124	2.0145769173462303e-121
14.0ms	-0.010413395144797862	-3.5872975401507324e-6
2.0ms	-1.8747478952290414e+96	-1.7469542226955666e+96

Samples

19.0ms

272×

valid

Compiler

Compiled 714 to 461 computations (35.4% saved)

Precisions

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

ival-mult: 5.0ms (54.2% of total)

ival-add: 3.0ms (32.5% of total)

ival-div: 2.0ms (21.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch59.0ms (0.6%)

Memory

12.1MiB live, 129.8MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
21.0ms	1.414888895180738e+100	2.7308931165091762e+110
13.0ms	7.166662251016925e-83	1.9882936449561942e-79
15.0ms	2.6880655730201393e-151	1.7632998606831518e-146

Samples

31.0ms

432×

valid

Compiler

Compiled 1 066 to 663 computations (37.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-mult: 10.0ms (52.5% of total)

ival-add: 5.0ms (26.3% of total)

ival-div: 4.0ms (21% of total)

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

exact: 0.0ms (0% of total)

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

bsearch31.0ms (0.3%)

Memory

-37.4MiB live, 46.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
23.0ms	1.414888895180738e+100	2.7308931165091762e+110
4.0ms	2.6880655730201393e-151	1.7632998606831518e-146

Samples

14.0ms

144×

valid

Compiler

Compiled 798 to 507 computations (36.5% saved)

Precisions

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

ival-mult: 5.0ms (57% of total)

ival-add: 2.0ms (22.8% of total)

ival-div: 1.0ms (11.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch25.0ms (0.2%)

Memory

-1.6MiB live, 37.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	-4.307843691108194e-141	-9.111606630890272e-144

Samples

12.0ms

128×

valid

Compiler

Compiled 356 to 230 computations (35.4% saved)

Precisions

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

ival-mult: 4.0ms (52.8% of total)

ival-add: 2.0ms (26.4% of total)

ival-div: 1.0ms (13.2% 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

3.5MiB live, 3.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
2.0ms	2.6880655730201393e-151	1.7632998606831518e-146

Compiler

Compiled 434 to 284 computations (34.6% saved)

bsearch2.0ms (0%)

Memory

3.7MiB live, 3.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
2.0ms	2.6880655730201393e-151	1.7632998606831518e-146

Compiler

Compiled 443 to 266 computations (40% saved)

bsearch20.0ms (0.2%)

Memory

-7.6MiB live, 31.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	1.0392011731311385e-156	2.3408629184290394e-155

Samples

11.0ms

112×

valid

Compiler

Compiled 363 to 210 computations (42.1% saved)

Precisions

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

ival-mult: 3.0ms (44.6% of total)

ival-add: 2.0ms (29.7% of total)

ival-div: 1.0ms (14.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch8.0ms (0.1%)

Memory

21.3MiB live, 21.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
6.0ms	1.7473181515051742e+22	5.683780685246899e+22
1.0ms	1.0392011731311385e-156	2.3408629184290394e-155

Samples

4.0ms

64×

valid

Compiler

Compiled 544 to 300 computations (44.9% saved)

Precisions

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

ival-add: 1.0ms (47.1% of total)

ival-mult: 1.0ms (47.1% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

3.0MiB live, 3.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.0392011731311385e-156	2.3408629184290394e-155

Compiler

Compiled 356 to 196 computations (44.9% saved)

bsearch16.0ms (0.2%)

Memory

-12.4MiB live, 28.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	-4.8579635912594115e+26	-2.5321104943138254e+22

Samples

9.0ms

128×

valid

Compiler

Compiled 396 to 222 computations (43.9% saved)

Precisions

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

ival-mult: 4.0ms (61.7% of total)

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

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

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

exact: 0.0ms (0% of total)

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

bsearch30.0ms (0.3%)

Memory

-9.0MiB live, 69.5MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
14.0ms	3.453005172714563e-102	9.62750703514085e-93
11.0ms	-3.9763764105156636e-160	-2.7930497073147635e-162
1.0ms	-4.8579635912594115e+26	-2.5321104943138254e+22

Samples

15.0ms

256×

valid

Compiler

Compiled 1 220 to 686 computations (43.8% saved)

Precisions

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

ival-mult: 5.0ms (56.2% of total)

ival-add: 2.0ms (22.5% of total)

ival-div: 1.0ms (11.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch31.0ms (0.3%)

Memory

29.2MiB live, 68.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	8.693358519324708e-5	2.2574028750321697
16.0ms	-8.88335027966931e-84	-3.5639113650016738e-99

Samples

16.0ms

288×

valid

Compiler

Compiled 956 to 536 computations (43.9% saved)

Precisions

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

ival-mult: 5.0ms (50.8% of total)

ival-add: 3.0ms (30.5% of total)

ival-div: 2.0ms (20.3% of total)

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

exact: 0.0ms (0% of total)

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

simplify31.0ms (0.3%)

Memory

-28.1MiB live, 55.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	139	996
1	162	996

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (/.f64 x (+.f64 y x))) (+.f64 y x))
(/.f64 (*.f64 x (/.f64 (/.f64 y (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) (+.f64 y x))
(*.f64 (/.f64 x (+.f64 y x)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x)))
(if (<=.f64 y #s(literal 23500000000000001766600442538177902745578583012281593016848363905407499243196757309616715875797313832564249943413034368676921344 binary64)) (.f64 (/.f64 y (+.f64 y x)) (/.f64 x (.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)))) (/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 x y)) (+.f64 y x)))
(if (<=.f64 y #s(literal 23500000000000001766600442538177902745578583012281593016848363905407499243196757309616715875797313832564249943413034368676921344 binary64)) (.f64 (/.f64 y (.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) (/.f64 x (+.f64 y x))) (/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 x y)) (+.f64 y x)))
(if (<=.f64 x #s(literal -1800000000000000066036757273633650607871145544009948344485114415578391603097837262871417277382656 binary64)) (/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 y x)) (+.f64 y x)) (if (<=.f64 x #s(literal -2833419889721787/590295810358705651712 binary64)) (/.f64 (.f64 x y) (.f64 (.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) (if (<=.f64 x #s(literal 1162941958872971/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248 binary64)) (/.f64 (.f64 (/.f64 x (+.f64 y x)) y) (.f64 #s(approx (+ 1 (+ y x)) (+.f64 #s(literal 1 binary64) y)) (+.f64 y x))) (/.f64 #s(approx ( (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 x (+.f64 #s(literal 1 binary64) y))) (+.f64 y x)))))
(if (<=.f64 y #s(literal 3936549570225297/224945689727159819140526925384299092943484855915095831655037778630591879033574393515952034305194542857496045531676044756160413302774714984450425759043258192756736 binary64)) (/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 y (+.f64 #s(literal 1 binary64) x))) (+.f64 y x)) (if (<=.f64 y #s(literal 4921314130761777/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432 binary64)) (/.f64 (.f64 #s(approx (/ y (+ y x)) #s(literal 1 binary64)) x) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) (if (<=.f64 y #s(literal 5299999999999999691866206652130293322499923360540179994817922117074171256384195194972473481051995373568 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 y)) (+.f64 y x)))))
(if (<=.f64 y #s(literal 3936549570225297/224945689727159819140526925384299092943484855915095831655037778630591879033574393515952034305194542857496045531676044756160413302774714984450425759043258192756736 binary64)) (/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 y (+.f64 #s(literal 1 binary64) x))) (+.f64 y x)) (if (<=.f64 y #s(literal 270000000000000009701208972452391078719595270555283282111802201784706003528116180023761849162212227181703069696 binary64)) (/.f64 (.f64 #s(approx (/ y (+ y x)) #s(literal 1 binary64)) x) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) (/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 x y)) (+.f64 y x))))
(if (<=.f64 x #s(literal -1338635543725469/6864797660130609714981900799081393217269435300143305409394463459185543183397656052122559640661454554977296311391480858037121987999716643812574028291115057152 binary64)) (/.f64 (.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) y) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.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 y #s(literal 3936549570225297/224945689727159819140526925384299092943484855915095831655037778630591879033574393515952034305194542857496045531676044756160413302774714984450425759043258192756736 binary64)) (/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 y (+.f64 #s(literal 1 binary64) x))) (+.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 y #s(literal 3936549570225297/224945689727159819140526925384299092943484855915095831655037778630591879033574393515952034305194542857496045531676044756160413302774714984450425759043258192756736 binary64)) #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (fma.f64 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 y #s(literal 5555272689337309/241533595188578646543459493183249209018682958106652187416077203215719946393097526533512110411370161122653976001968886073585317416315186728483931792091692546793561300926464 binary64)) #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (fma.f64 x x x))) #s(approx (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)))
(if (<=.f64 y #s(literal 5555272689337309/241533595188578646543459493183249209018682958106652187416077203215719946393097526533512110411370161122653976001968886073585317416315186728483931792091692546793561300926464 binary64)) #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (fma.f64 x x x))) (if (<=.f64 y #s(literal 35000000000000002097152 binary64)) #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (fma.f64 y y y))) #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 x y) y))))
(if (<=.f64 y #s(literal 5555272689337309/241533595188578646543459493183249209018682958106652187416077203215719946393097526533512110411370161122653976001968886073585317416315186728483931792091692546793561300926464 binary64)) #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (fma.f64 x x x))) #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (fma.f64 y y y))))
(if (<=.f64 x #s(literal -124999999999999997902848 binary64)) #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (.f64 x x))) #s(approx (/ ( x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (fma.f64 y y y))))
(if (<=.f64 x #s(literal -124999999999999997902848 binary64)) #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (.f64 x x))) (if (<=.f64 x #s(literal -3925628132181115/63316582777114760719488645381029680648993625369910231018000142359781689627272157995600998671678219517337003885060131670873949448782528309751691815706084650986651333670066978816 binary64)) #s(approx (/ ( x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (.f64 y y))) (if (<=.f64 x #s(literal 8826049387992363/2521728396569246669585858566409191283525103313309788586748690777871726193375821479130513040312634601011624191379636224 binary64)) #s(approx (/ ( (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) #s(approx (/ x (+ (* y y) y)) (/.f64 x y))) #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (*.f64 y y))))))
(if (<=.f64 y #s(literal -1161976947540975/136703170298938245273281389194851335334573089430825777276610662900622062449960995201469573563940864 binary64)) #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (.f64 y y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ ( (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) #s(approx (/ x (+ (* y y) y)) (/.f64 x y))) #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (*.f64 y y)))))
#s(approx (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) #s(approx (/ x (+ (* y y) y)) (/.f64 x y)))

Outputs
(/.f64 (*.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 (+.f64 x y) #s(literal 1 binary64)))) (+.f64 x y))
(/.f64 (*.f64 (/.f64 (/.f64 y (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))) x) (+.f64 x y))
(*.f64 (/.f64 (/.f64 y (+.f64 (+.f64 x y) #s(literal 1 binary64))) (+.f64 x y)) (/.f64 x (+.f64 x y)))
(if (<=.f64 y #s(literal 23500000000000001766600442538177902745578583012281593016848363905407499243196757309616715875797313832564249943413034368676921344 binary64)) (.f64 (/.f64 x (.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) (+.f64 x y))) (/.f64 y (+.f64 x y))) (/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 x y)) (+.f64 x y)))
(if (<=.f64 y #s(literal 23500000000000001766600442538177902745578583012281593016848363905407499243196757309616715875797313832564249943413034368676921344 binary64)) (.f64 (/.f64 y (.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) (+.f64 x y))) (/.f64 x (+.f64 x y))) (/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 x y)) (+.f64 x y)))
(if (<=.f64 x #s(literal -1800000000000000066036757273633650607871145544009948344485114415578391603097837262871417277382656 binary64)) (/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 y x)) (+.f64 x y)) (if (<=.f64 x #s(literal -2833419889721787/590295810358705651712 binary64)) (/.f64 (.f64 x y) (.f64 (.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) (if (<=.f64 x #s(literal 1162941958872971/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248 binary64)) (/.f64 (.f64 (/.f64 x (+.f64 x y)) y) (.f64 #s(approx (+ 1 (+ y x)) (+.f64 #s(literal 1 binary64) y)) (+.f64 x y))) (/.f64 #s(approx ( (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 x (+.f64 #s(literal 1 binary64) y))) (+.f64 x y)))))
(if (<=.f64 y #s(literal 3936549570225297/224945689727159819140526925384299092943484855915095831655037778630591879033574393515952034305194542857496045531676044756160413302774714984450425759043258192756736 binary64)) (/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 y (+.f64 x #s(literal 1 binary64)))) (+.f64 x y)) (if (<=.f64 y #s(literal 4921314130761777/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432 binary64)) (/.f64 (.f64 #s(approx (/ y (+ y x)) #s(literal 1 binary64)) x) (.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) (+.f64 x y))) (if (<=.f64 y #s(literal 5299999999999999691866206652130293322499923360540179994817922117074171256384195194972473481051995373568 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 y)) (+.f64 x y)))))
(if (<=.f64 y #s(literal 3936549570225297/224945689727159819140526925384299092943484855915095831655037778630591879033574393515952034305194542857496045531676044756160413302774714984450425759043258192756736 binary64)) (/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 y (+.f64 x #s(literal 1 binary64)))) (+.f64 x y)) (if (<=.f64 y #s(literal 270000000000000009701208972452391078719595270555283282111802201784706003528116180023761849162212227181703069696 binary64)) (/.f64 (.f64 #s(approx (/ y (+ y x)) #s(literal 1 binary64)) x) (.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) (+.f64 x y))) (/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 x y)) (+.f64 x y))))
(if (<=.f64 x #s(literal -1338635543725469/6864797660130609714981900799081393217269435300143305409394463459185543183397656052122559640661454554977296311391480858037121987999716643812574028291115057152 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 (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 x (+.f64 #s(literal 1 binary64) y))) (+.f64 x y)))
(if (<=.f64 y #s(literal 3936549570225297/224945689727159819140526925384299092943484855915095831655037778630591879033574393515952034305194542857496045531676044756160413302774714984450425759043258192756736 binary64)) (/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 y (+.f64 x #s(literal 1 binary64)))) (+.f64 x y)) (/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 x (+.f64 #s(literal 1 binary64) y))) (+.f64 x y)))
(if (<=.f64 y #s(literal 3936549570225297/224945689727159819140526925384299092943484855915095831655037778630591879033574393515952034305194542857496045531676044756160413302774714984450425759043258192756736 binary64)) #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (fma.f64 x x x))) (/.f64 #s(approx (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (/.f64 x (+.f64 #s(literal 1 binary64) y))) (+.f64 x y)))
(if (<=.f64 y #s(literal 5555272689337309/241533595188578646543459493183249209018682958106652187416077203215719946393097526533512110411370161122653976001968886073585317416315186728483931792091692546793561300926464 binary64)) #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (fma.f64 x x x))) #s(approx (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)))
(if (<=.f64 y #s(literal 5555272689337309/241533595188578646543459493183249209018682958106652187416077203215719946393097526533512110411370161122653976001968886073585317416315186728483931792091692546793561300926464 binary64)) #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (fma.f64 x x x))) (if (<=.f64 y #s(literal 35000000000000002097152 binary64)) #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (fma.f64 y y y))) #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 x y) y))))
(if (<=.f64 y #s(literal 5555272689337309/241533595188578646543459493183249209018682958106652187416077203215719946393097526533512110411370161122653976001968886073585317416315186728483931792091692546793561300926464 binary64)) #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (fma.f64 x x x))) #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (fma.f64 y y y))))
(if (<=.f64 x #s(literal -124999999999999997902848 binary64)) #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (.f64 x x))) #s(approx (/ ( x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (fma.f64 y y y))))
(if (<=.f64 x #s(literal -124999999999999997902848 binary64)) #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (.f64 x x))) (if (<=.f64 x #s(literal -3925628132181115/63316582777114760719488645381029680648993625369910231018000142359781689627272157995600998671678219517337003885060131670873949448782528309751691815706084650986651333670066978816 binary64)) #s(approx (/ ( x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (.f64 y y))) (if (<=.f64 x #s(literal 8826049387992363/2521728396569246669585858566409191283525103313309788586748690777871726193375821479130513040312634601011624191379636224 binary64)) #s(approx (/ ( (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) #s(approx (/ x (+ (* y y) y)) (/.f64 x y))) #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (*.f64 y y))))))
(if (<=.f64 y #s(literal -1161976947540975/136703170298938245273281389194851335334573089430825777276610662900622062449960995201469573563940864 binary64)) #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (.f64 y y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ ( (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) #s(approx (/ x (+ (* y y) y)) (/.f64 x y))) #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (*.f64 y y)))))
#s(approx (/ (* (/ y (+ 1 (+ y x))) (/ x (+ y x))) (+ y x)) #s(approx (/ x (+ (* y y) y)) (/.f64 x y)))

soundness1.7s (16.6%)

Memory

20.8MiB live, 895.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1217	13015
1	4181	12363
0	8498	11617
0	422	2494
1	1483	2406
2	6308	2382
0	8318	2161
0	501	9344
1	1720	9012
2	6392	8924
0	8645	8209
0	9	43
0	15	37
1	76	37
2	666	37
0	8864	37
0	37	196
0	57	186
1	279	170
2	2375	170
0	8524	170
0	732	11536
1	2633	11042
0	8567	10239
0	35	221
0	58	210
1	286	204
2	2528	204
0	8728	204

Stop Event

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

Compiler

Compiled 2 224 to 690 computations (69% saved)

preprocess379.0ms (3.6%)

Memory: -5.8MiB live, 231.5MiB allocated
Remove: (sort x y)
Compiler: Compiled 2 200 to 386 computations (82.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze38.0ms (0.4%)

sample994.0ms (9.6%)

explain131.0ms (1.3%)

preprocess400.0ms (3.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify353.0ms (3.4%)

localize36.0ms (0.3%)

series19.0ms (0.2%)

simplify303.0ms (2.9%)

rewrite197.0ms (1.9%)

eval352.0ms (3.4%)

prune43.0ms (0.4%)

simplify264.0ms (2.5%)

localize282.0ms (2.7%)

series60.0ms (0.6%)

simplify227.0ms (2.2%)

rewrite377.0ms (3.6%)

eval571.0ms (5.5%)

prune114.0ms (1.1%)

simplify121.0ms (1.2%)

localize178.0ms (1.7%)

series54.0ms (0.5%)

simplify264.0ms (2.5%)

rewrite314.0ms (3%)

eval291.0ms (2.8%)

prune179.0ms (1.7%)

simplify293.0ms (2.8%)

localize124.0ms (1.2%)

series30.0ms (0.3%)

simplify189.0ms (1.8%)

rewrite226.0ms (2.2%)

eval332.0ms (3.2%)

prune72.0ms (0.7%)

regimes80.0ms (0.8%)

regimes57.0ms (0.5%)

regimes60.0ms (0.6%)

regimes96.0ms (0.9%)

regimes18.0ms (0.2%)

regimes50.0ms (0.5%)

regimes35.0ms (0.3%)

regimes24.0ms (0.2%)

regimes37.0ms (0.4%)

regimes27.0ms (0.3%)

regimes10.0ms (0.1%)

regimes11.0ms (0.1%)

regimes7.0ms (0.1%)

regimes17.0ms (0.2%)

regimes6.0ms (0.1%)

regimes3.0ms (0%)

regimes15.0ms (0.1%)

regimes4.0ms (0%)

bsearch14.0ms (0.1%)

bsearch1.0ms (0%)

bsearch35.0ms (0.3%)

bsearch59.0ms (0.6%)

bsearch31.0ms (0.3%)

bsearch25.0ms (0.2%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch20.0ms (0.2%)

bsearch8.0ms (0.1%)

bsearch1.0ms (0%)

bsearch16.0ms (0.2%)

bsearch30.0ms (0.3%)

bsearch31.0ms (0.3%)

simplify31.0ms (0.3%)

soundness1.7s (16.6%)

preprocess379.0ms (3.6%)

end0.0ms (0%)

Profiling