Metrics for Linear.Matrix:fromQuaternion from linear-1.19.1.3, A

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 11 to 9 computations (18.2% saved)

sample880.0ms (22.8%)

Memory

30.9MiB live, 974.6MiB allocated

Samples

650.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 424.0ms

ival-mult: 309.0ms (73% of total)

ival-sub: 101.0ms (23.8% of total)

ival-true: 6.0ms (1.4% of total)

exact: 4.0ms (0.9% of total)

ival-assert: 3.0ms (0.7% of total)

Bogosity

explain122.0ms (3.2%)

Memory

-49.6MiB live, 125.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
13	-	-	`(-.f64 (.f64 x x) (.f64 x y))`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`y`
0	-	-	`(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))`
0	-	-	`(*.f64 x x)`
0	-	-	`(*.f64 x y)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (.f64 x x) (.f64 x y))`	nan-rescue	13	0
↳	`(*.f64 x x)`	overflow	67
↳	`(*.f64 x y)`	overflow	31

Confusion

	Predicted +	Predicted -
+	13	0
-	0	243

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	13	0	0
-	0	0	243

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	243
1	13

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

29.0ms

512×

valid

Compiler

Compiled 88 to 32 computations (63.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 10.0ms (64.1% of total)

ival-sub: 5.0ms (32% of total)

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

exact: 0.0ms (0% of total)

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

preprocess88.0ms (2.3%)

Memory

12.5MiB live, 62.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	39
1	70	35
2	169	35
3	556	35
4	1118	35
5	1440	35
6	1562	35
7	1562	35
8	1562	35
0	7	9
0	11	7
1	20	7
2	44	7
3	95	7
4	173	7
5	233	7
6	383	7
7	551	7
8	756	7
9	806	7
0	806	7

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))

Outputs
(.f64 (-.f64 y x) (.f64 #s(literal -2 binary64) x))

Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.9%	(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify25.0ms (0.7%)

Memory

-10.9MiB live, 26.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x y)
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))
cost-diff	320	(-.f64 (.f64 x x) (.f64 x y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	25
0	11	21
1	20	21
2	44	21
3	95	21
4	173	21
5	233	21
6	383	21
7	551	21
8	756	21
9	806	21
0	806	21

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))
#s(literal 2 binary64)
(-.f64 (.f64 x x) (.f64 x y))
(*.f64 x x)
x
(*.f64 x y)
y

Outputs
(.f64 (-.f64 y x) (.f64 #s(literal -2 binary64) x))
#s(literal 2 binary64)
(*.f64 (-.f64 x y) x)
(*.f64 x x)
x
(*.f64 y x)
y

localize21.0ms (0.6%)

Memory

7.4MiB live, 44.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x y)
accuracy	0	(*.f64 x x)
accuracy	0	(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))
accuracy	3.007795986641647	(-.f64 (.f64 x x) (.f64 x y))

Samples

16.0ms

256×

valid

Compiler

Compiled 52 to 16 computations (69.2% saved)

Precisions

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

ival-mult: 5.0ms (76.1% of total)

ival-sub: 1.0ms (15.2% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.2%)

Memory

19.8MiB live, 19.8MiB allocated

Counts

4 → 84

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (-.f64 (.f64 x x) (.f64 x y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 (.f64 x x) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 (.f64 x x) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 (.f64 x x) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 (.f64 x x) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.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 inf y) (#s(alt #<batchref> (patch (-.f64 (.f64 x x) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (-.f64 (.f64 x x) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (-.f64 (.f64 x x) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (-.f64 (.f64 x x) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.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 x x) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (-.f64 (.f64 x x) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (-.f64 (.f64 x x) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (-.f64 (.f64 x x) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.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 0 x) (#s(alt #<batchref> (patch (-.f64 (.f64 x x) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 (.f64 x x) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 (.f64 x x) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 (.f64 x x) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 (.f64 x x) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 (.f64 x x) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 (.f64 x x) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 (.f64 x x) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 (.f64 x x) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 (.f64 x x) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 (.f64 x x) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 (.f64 x x) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	((- (* x x) (* x y)) (* 2 (- (* x x) (* x y))) (* x x) (* x y))
1.0ms	y	@	-inf	((- (* x x) (* x y)) (* 2 (- (* x x) (* x y))) (* x x) (* x y))
1.0ms	x	@	-inf	((- (* x x) (* x y)) (* 2 (- (* x x) (* x y))) (* x x) (* x y))
1.0ms	x	@	0	((- (* x x) (* x y)) (* 2 (- (* x x) (* x y))) (* x x) (* x y))
1.0ms	y	@	0	((- (* x x) (* x y)) (* 2 (- (* x x) (* x y))) (* x x) (* x y))

simplify107.0ms (2.8%)

Memory

-2.0MiB live, 154.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	42	501
1	132	411
2	313	411
3	1113	375
4	3485	375
5	5533	375
6	6532	375
0	8025	375

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

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

Outputs
(*.f64 x x)
(*.f64 (-.f64 x y) x)
(*.f64 (-.f64 x y) x)
(*.f64 (-.f64 x y) x)
(.f64 (.f64 x x) #s(literal 2 binary64))
(.f64 (.f64 #s(literal 2 binary64) x) (-.f64 x y))
(.f64 (.f64 #s(literal 2 binary64) x) (-.f64 x y))
(.f64 (.f64 #s(literal 2 binary64) x) (-.f64 x y))
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 (neg.f64 y) x)
(*.f64 (-.f64 x y) x)
(*.f64 (-.f64 x y) x)
(*.f64 (-.f64 x y) x)
(.f64 #s(literal -2 binary64) (.f64 y x))
(.f64 (.f64 #s(literal 2 binary64) x) (-.f64 x y))
(.f64 (.f64 #s(literal 2 binary64) x) (-.f64 x y))
(.f64 (.f64 #s(literal 2 binary64) x) (-.f64 x y))
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 (neg.f64 y) x)
(*.f64 (-.f64 x y) x)
(*.f64 (-.f64 x y) x)
(*.f64 (-.f64 x y) x)
(.f64 #s(literal -2 binary64) (.f64 y x))
(.f64 (.f64 #s(literal 2 binary64) x) (-.f64 x y))
(.f64 (.f64 #s(literal 2 binary64) x) (-.f64 x y))
(.f64 (.f64 #s(literal 2 binary64) x) (-.f64 x y))
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 (neg.f64 y) x)
(*.f64 (-.f64 x y) x)
(*.f64 (-.f64 x y) x)
(*.f64 (-.f64 x y) x)
(.f64 #s(literal -2 binary64) (.f64 y x))
(.f64 (.f64 #s(literal 2 binary64) x) (-.f64 x y))
(.f64 (.f64 #s(literal 2 binary64) x) (-.f64 x y))
(.f64 (.f64 #s(literal 2 binary64) x) (-.f64 x y))
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 x x)
(*.f64 (-.f64 x y) x)
(*.f64 (-.f64 x y) x)
(*.f64 (-.f64 x y) x)
(.f64 (.f64 x x) #s(literal 2 binary64))
(.f64 (.f64 #s(literal 2 binary64) x) (-.f64 x y))
(.f64 (.f64 #s(literal 2 binary64) x) (-.f64 x y))
(.f64 (.f64 #s(literal 2 binary64) x) (-.f64 x y))
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 x x)
(*.f64 (-.f64 x y) x)
(*.f64 (-.f64 x y) x)
(*.f64 (-.f64 x y) x)
(.f64 (.f64 x x) #s(literal 2 binary64))
(.f64 (.f64 #s(literal 2 binary64) x) (-.f64 x y))
(.f64 (.f64 #s(literal 2 binary64) x) (-.f64 x y))
(.f64 (.f64 #s(literal 2 binary64) x) (-.f64 x y))
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)

rewrite319.0ms (8.3%)

Memory

-21.6MiB live, 222.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	22
0	11	18
1	34	18
2	235	18
3	2204	18
0	8785	18

Stop Event

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

Counts

4 → 304

Calls

Call 1

Inputs
(-.f64 (.f64 x x) (.f64 x y))
(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))
(*.f64 x x)
(*.f64 x y)

Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>

eval140.0ms (3.6%)

Memory: 14.7MiB live, 51.4MiB allocated
Compiler: Compiled 10 560 to 1 092 computations (89.7% saved)

prune108.0ms (2.8%)

Memory

-16.8MiB live, 22.0MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	383	5	388
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	384	5	389

Accuracy

100.0%

Counts

389 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 (-.f64 x y) (.f64 #s(literal 2 binary64) x))
▶	96.9%	(.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 y) x (.f64 x x)))
▶	98.0%	(.f64 #s(literal 2 binary64) (fma.f64 x x (.f64 (neg.f64 y) x)))
▶	58.5%	(.f64 #s(literal 2 binary64) #s(approx (- ( x x) (* x y)) (*.f64 x x)))
▶	60.5%	#s(approx (* 2 (- (* x x) (* x y))) (.f64 #s(literal -2 binary64) (.f64 y x)))

Compiler

Compiled 106 to 80 computations (24.5% saved)

simplify25.0ms (0.7%)

Memory

13.0MiB live, 13.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	0	(neg.f64 y)
cost-diff	0	(.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 y) x (.f64 x x)))
cost-diff	320	(fma.f64 (neg.f64 y) x (*.f64 x x))
cost-diff	0	(neg.f64 y)
cost-diff	0	(*.f64 (neg.f64 y) x)
cost-diff	0	(.f64 #s(literal 2 binary64) (fma.f64 x x (.f64 (neg.f64 y) x)))
cost-diff	320	(fma.f64 x x (*.f64 (neg.f64 y) x))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (- (* x x) (* x y)) (*.f64 x x))
cost-diff	0	(.f64 #s(literal 2 binary64) #s(approx (- ( x x) (* x y)) (*.f64 x x)))
cost-diff	0	(*.f64 y x)
cost-diff	0	(.f64 #s(literal -2 binary64) (.f64 y x))
cost-diff	0	#s(approx (* 2 (- (* x x) (* x y))) (.f64 #s(literal -2 binary64) (.f64 y x)))
cost-diff	0	(*.f64 #s(literal 2 binary64) x)
cost-diff	0	(-.f64 x y)
cost-diff	0	(.f64 (-.f64 x y) (.f64 #s(literal 2 binary64) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	120
0	36	106
1	70	106
2	112	106
3	183	106
4	307	106
5	501	106
6	754	106
7	835	106
8	835	106
0	835	106

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

Outputs
(.f64 (.f64 #s(literal -2 binary64) x) (-.f64 y x))
(-.f64 x y)
x
y
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
#s(approx (* 2 (- (* x x) (* x y))) (.f64 (.f64 y x) #s(literal -2 binary64)))
(.f64 (.f64 y x) #s(literal -2 binary64))
#s(literal -2 binary64)
(*.f64 y x)
y
x
(.f64 #s(approx (- ( x x) (* x y)) (*.f64 x x)) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (- (* x x) (* x y)) (*.f64 x x))
(*.f64 x x)
x
(.f64 (.f64 #s(literal -2 binary64) x) (-.f64 y x))
#s(literal 2 binary64)
(*.f64 (-.f64 x y) x)
x
(*.f64 (neg.f64 y) x)
(neg.f64 y)
y
(.f64 (.f64 #s(literal -2 binary64) x) (-.f64 y x))
#s(literal 2 binary64)
(*.f64 (-.f64 x y) x)
(neg.f64 y)
y
x
(*.f64 x x)

localize86.0ms (2.2%)

Memory

-11.2MiB live, 27.4MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0	(.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 y) x (.f64 x x)))
accuracy	0	(neg.f64 y)
accuracy	2.007790480844482	(fma.f64 (neg.f64 y) x (*.f64 x x))
accuracy	0	(*.f64 (neg.f64 y) x)
accuracy	0	(.f64 #s(literal 2 binary64) (fma.f64 x x (.f64 (neg.f64 y) x)))
accuracy	0	(neg.f64 y)
accuracy	1.253892488027801	(fma.f64 x x (*.f64 (neg.f64 y) x))
accuracy	0	(*.f64 x x)
accuracy	0	(.f64 #s(literal 2 binary64) #s(approx (- ( x x) (* x y)) (*.f64 x x)))
accuracy	26.56170756321	#s(approx (- (* x x) (* x y)) (*.f64 x x))
accuracy	0	(*.f64 y x)
accuracy	0	(.f64 #s(literal -2 binary64) (.f64 y x))
accuracy	25.267861130210562	#s(approx (* 2 (- (* x x) (* x y))) (.f64 #s(literal -2 binary64) (.f64 y x)))
accuracy	0	(-.f64 x y)
accuracy	0	(*.f64 #s(literal 2 binary64) x)
accuracy	0.01171875	(.f64 (-.f64 x y) (.f64 #s(literal 2 binary64) x))

Samples

33.0ms

256×

valid

Compiler

Compiled 232 to 45 computations (80.6% saved)

Precisions

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

ival-mult: 14.0ms (70.7% of total)

ival-sub: 2.0ms (10.1% of total)

ival-add: 2.0ms (10.1% of total)

ival-neg: 1.0ms (5% of total)

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

exact: 0.0ms (0% of total)

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

series20.0ms (0.5%)

Memory

23.4MiB live, 23.4MiB allocated

Counts

15 → 324

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (.f64 (-.f64 x y) (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 x y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (* 2 (- (* x x) (* x y))) (.f64 #s(literal -2 binary64) (.f64 y x))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 #s(literal -2 binary64) (.f64 y x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 y x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) #s(approx (- ( x x) (* x y)) (*.f64 x x))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- (* x x) (* x y)) (*.f64 x x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 x x (*.f64 (neg.f64 y) x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) (fma.f64 x x (.f64 (neg.f64 y) x))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (neg.f64 y) x (*.f64 x x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 y) x (.f64 x x))) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 (-.f64 x y) (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 (-.f64 x y) (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 (-.f64 x y) (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 (-.f64 x y) (.f64 #s(literal 2 binary64) x)) #<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 (* 2 (- (* x x) (* x y))) (.f64 #s(literal -2 binary64) (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (* 2 (- (* x x) (* x y))) (.f64 #s(literal -2 binary64) (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (* 2 (- (* x x) (* x y))) (.f64 #s(literal -2 binary64) (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (* 2 (- (* x x) (* x y))) (.f64 #s(literal -2 binary64) (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 #s(literal -2 binary64) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 #s(literal -2 binary64) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 #s(literal -2 binary64) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 #s(literal -2 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 (.f64 #s(literal 2 binary64) #s(approx (- ( x x) (* x y)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) #s(approx (- ( x x) (* x y)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) #s(approx (- ( x x) (* x y)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) #s(approx (- ( x x) (* x y)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (- (* x x) (* x y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (- (* x x) (* x y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (- (* x x) (* x y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (- (* x x) (* x y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 x x (*.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 x x (*.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 x x (*.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 x x (*.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) (fma.f64 x x (.f64 (neg.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) (fma.f64 x x (.f64 (neg.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) (fma.f64 x x (.f64 (neg.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) (fma.f64 x x (.f64 (neg.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 y) x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 y) x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 y) x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 y) x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 y) x (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 y) x (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 y) x (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 y) x (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (.f64 (-.f64 x y) (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (.f64 (-.f64 x y) (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (.f64 (-.f64 x y) (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (.f64 (-.f64 x y) (.f64 #s(literal 2 binary64) x)) #<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 #s(approx (* 2 (- (* x x) (* x y))) (.f64 #s(literal -2 binary64) (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch #s(approx (* 2 (- (* x x) (* x y))) (.f64 #s(literal -2 binary64) (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch #s(approx (* 2 (- (* x x) (* x y))) (.f64 #s(literal -2 binary64) (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch #s(approx (* 2 (- (* x x) (* x y))) (.f64 #s(literal -2 binary64) (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (.f64 #s(literal -2 binary64) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (.f64 #s(literal -2 binary64) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (.f64 #s(literal -2 binary64) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (.f64 #s(literal -2 binary64) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) #s(approx (- ( x x) (* x y)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) #s(approx (- ( x x) (* x y)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) #s(approx (- ( x x) (* x y)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) #s(approx (- ( x x) (* x y)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch #s(approx (- (* x x) (* x y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch #s(approx (- (* x x) (* x y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch #s(approx (- (* x x) (* x y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch #s(approx (- (* x x) (* x y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (fma.f64 x x (*.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (fma.f64 x x (*.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (fma.f64 x x (*.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (fma.f64 x x (*.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) (fma.f64 x x (.f64 (neg.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) (fma.f64 x x (.f64 (neg.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) (fma.f64 x x (.f64 (neg.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) (fma.f64 x x (.f64 (neg.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 y) x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 y) x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 y) x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 y) x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 y) x (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 y) x (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 y) x (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 y) x (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (.f64 (-.f64 x y) (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (.f64 (-.f64 x y) (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (.f64 (-.f64 x y) (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (.f64 (-.f64 x y) (.f64 #s(literal 2 binary64) x)) #<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 #s(approx (* 2 (- (* x x) (* x y))) (.f64 #s(literal -2 binary64) (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch #s(approx (* 2 (- (* x x) (* x y))) (.f64 #s(literal -2 binary64) (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch #s(approx (* 2 (- (* x x) (* x y))) (.f64 #s(literal -2 binary64) (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch #s(approx (* 2 (- (* x x) (* x y))) (.f64 #s(literal -2 binary64) (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (.f64 #s(literal -2 binary64) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (.f64 #s(literal -2 binary64) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (.f64 #s(literal -2 binary64) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (.f64 #s(literal -2 binary64) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) #s(approx (- ( x x) (* x y)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) #s(approx (- ( x x) (* x y)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) #s(approx (- ( x x) (* x y)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) #s(approx (- ( x x) (* x y)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch #s(approx (- (* x x) (* x y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch #s(approx (- (* x x) (* x y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch #s(approx (- (* x x) (* x y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch #s(approx (- (* x x) (* x y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (fma.f64 x x (*.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (fma.f64 x x (*.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (fma.f64 x x (*.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (fma.f64 x x (*.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) (fma.f64 x x (.f64 (neg.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) (fma.f64 x x (.f64 (neg.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) (fma.f64 x x (.f64 (neg.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) (fma.f64 x x (.f64 (neg.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 y) x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 y) x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 y) x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 y) x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 y) x (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 y) x (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 y) x (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 y) x (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (.f64 (-.f64 x y) (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (.f64 (-.f64 x y) (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (.f64 (-.f64 x y) (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (.f64 (-.f64 x y) (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (* 2 (- (* x x) (* x y))) (.f64 #s(literal -2 binary64) (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (* 2 (- (* x x) (* x y))) (.f64 #s(literal -2 binary64) (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (* 2 (- (* x x) (* x y))) (.f64 #s(literal -2 binary64) (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (* 2 (- (* x x) (* x y))) (.f64 #s(literal -2 binary64) (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (.f64 #s(literal -2 binary64) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (.f64 #s(literal -2 binary64) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (.f64 #s(literal -2 binary64) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (.f64 #s(literal -2 binary64) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) #s(approx (- ( x x) (* x y)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) #s(approx (- ( x x) (* x y)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) #s(approx (- ( x x) (* x y)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) #s(approx (- ( x x) (* x y)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (- (* x x) (* x y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (- (* x x) (* x y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (- (* x x) (* x y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (- (* x x) (* x y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 x x (*.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 x x (*.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 x x (*.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 x x (*.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) (fma.f64 x x (.f64 (neg.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) (fma.f64 x x (.f64 (neg.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) (fma.f64 x x (.f64 (neg.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) (fma.f64 x x (.f64 (neg.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 y) x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 y) x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 y) x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 y) x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 y) x (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 y) x (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 y) x (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 y) x (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (.f64 (-.f64 x y) (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (.f64 (-.f64 x y) (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (.f64 (-.f64 x y) (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (.f64 (-.f64 x y) (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (* 2 (- (* x x) (* x y))) (.f64 #s(literal -2 binary64) (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (* 2 (- (* x x) (* x y))) (.f64 #s(literal -2 binary64) (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (* 2 (- (* x x) (* x y))) (.f64 #s(literal -2 binary64) (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (* 2 (- (* x x) (* x y))) (.f64 #s(literal -2 binary64) (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (.f64 #s(literal -2 binary64) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (.f64 #s(literal -2 binary64) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (.f64 #s(literal -2 binary64) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (.f64 #s(literal -2 binary64) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) #s(approx (- ( x x) (* x y)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) #s(approx (- ( x x) (* x y)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) #s(approx (- ( x x) (* x y)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) #s(approx (- ( x x) (* x y)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (- (* x x) (* x y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (- (* x x) (* x y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (- (* x x) (* x y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (- (* x x) (* x y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f64 x x (*.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f64 x x (*.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f64 x x (*.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f64 x x (*.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) (fma.f64 x x (.f64 (neg.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) (fma.f64 x x (.f64 (neg.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) (fma.f64 x x (.f64 (neg.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) (fma.f64 x x (.f64 (neg.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 y) x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 y) x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 y) x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 y) x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 y) x (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 y) x (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 y) x (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 y) x (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 (-.f64 x y) (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 (-.f64 x y) (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 (-.f64 x y) (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 (-.f64 x y) (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (* 2 (- (* x x) (* x y))) (.f64 #s(literal -2 binary64) (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (* 2 (- (* x x) (* x y))) (.f64 #s(literal -2 binary64) (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (* 2 (- (* x x) (* x y))) (.f64 #s(literal -2 binary64) (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (* 2 (- (* x x) (* x y))) (.f64 #s(literal -2 binary64) (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 #s(literal -2 binary64) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 #s(literal -2 binary64) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 #s(literal -2 binary64) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 #s(literal -2 binary64) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) #s(approx (- ( x x) (* x y)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) #s(approx (- ( x x) (* x y)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) #s(approx (- ( x x) (* x y)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) #s(approx (- ( x x) (* x y)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (- (* x x) (* x y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (- (* x x) (* x y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (- (* x x) (* x y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (- (* x x) (* x y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 x x (*.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 x x (*.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 x x (*.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 x x (*.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) (fma.f64 x x (.f64 (neg.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) (fma.f64 x x (.f64 (neg.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) (fma.f64 x x (.f64 (neg.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) (fma.f64 x x (.f64 (neg.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 y) x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 y) x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 y) x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 y) x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 y) x (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 y) x (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 y) x (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 y) x (.f64 x x))) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	((* (- x y) (* 2 x)) (- x y) (* 2 x) (* 2 (- (* x x) (* x y))) (* -2 (* y x)) (* y x) (* 2 (- (* x x) (* x y))) (- (* x x) (* x y)) (* x x) (+ (* x x) (* (neg y) x)) (* 2 (+ (* x x) (* (neg y) x))) (* (neg y) x) (neg y) (+ (* (neg y) x) (* x x)) (* 2 (+ (* (neg y) x) (* x x))))
2.0ms	x	@	-inf	((* (- x y) (* 2 x)) (- x y) (* 2 x) (* 2 (- (* x x) (* x y))) (* -2 (* y x)) (* y x) (* 2 (- (* x x) (* x y))) (- (* x x) (* x y)) (* x x) (+ (* x x) (* (neg y) x)) (* 2 (+ (* x x) (* (neg y) x))) (* (neg y) x) (neg y) (+ (* (neg y) x) (* x x)) (* 2 (+ (* (neg y) x) (* x x))))
2.0ms	x	@	inf	((* (- x y) (* 2 x)) (- x y) (* 2 x) (* 2 (- (* x x) (* x y))) (* -2 (* y x)) (* y x) (* 2 (- (* x x) (* x y))) (- (* x x) (* x y)) (* x x) (+ (* x x) (* (neg y) x)) (* 2 (+ (* x x) (* (neg y) x))) (* (neg y) x) (neg y) (+ (* (neg y) x) (* x x)) (* 2 (+ (* (neg y) x) (* x x))))
1.0ms	y	@	inf	((* (- x y) (* 2 x)) (- x y) (* 2 x) (* 2 (- (* x x) (* x y))) (* -2 (* y x)) (* y x) (* 2 (- (* x x) (* x y))) (- (* x x) (* x y)) (* x x) (+ (* x x) (* (neg y) x)) (* 2 (+ (* x x) (* (neg y) x))) (* (neg y) x) (neg y) (+ (* (neg y) x) (* x x)) (* 2 (+ (* (neg y) x) (* x x))))
1.0ms	y	@	0	((* (- x y) (* 2 x)) (- x y) (* 2 x) (* 2 (- (* x x) (* x y))) (* -2 (* y x)) (* y x) (* 2 (- (* x x) (* x y))) (- (* x x) (* x y)) (* x x) (+ (* x x) (* (neg y) x)) (* 2 (+ (* x x) (* (neg y) x))) (* (neg y) x) (neg y) (+ (* (neg y) x) (* x x)) (* 2 (+ (* (neg y) x) (* x x))))

simplify318.0ms (8.3%)

Memory

-2.9MiB live, 78.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	61	2082
1	202	1740
2	484	1740
3	1583	1560
4	3636	1560
5	5364	1560
6	6962	1560
0	8121	1560

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 321

Calls

Call 1

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

Outputs
(.f64 (.f64 x x) #s(literal 2 binary64))
(.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))
(.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))
(.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))
x
(-.f64 x y)
(-.f64 x y)
(-.f64 x y)
(.f64 (.f64 x x) #s(literal 2 binary64))
(.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))
(.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))
(.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))
(.f64 #s(literal -2 binary64) (.f64 y x))
(.f64 #s(literal -2 binary64) (.f64 y x))
(.f64 #s(literal -2 binary64) (.f64 y x))
(.f64 #s(literal -2 binary64) (.f64 y x))
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(.f64 (.f64 x x) #s(literal 2 binary64))
(.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))
(.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))
(.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))
(*.f64 x x)
(*.f64 (-.f64 x y) x)
(*.f64 (-.f64 x y) x)
(*.f64 (-.f64 x y) x)
(*.f64 x x)
(*.f64 (-.f64 x y) x)
(*.f64 (-.f64 x y) x)
(*.f64 (-.f64 x y) x)
(.f64 (.f64 x x) #s(literal 2 binary64))
(.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))
(.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))
(.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))
(*.f64 (neg.f64 y) x)
(*.f64 (neg.f64 y) x)
(*.f64 (neg.f64 y) x)
(*.f64 (neg.f64 y) x)
(neg.f64 y)
(neg.f64 y)
(neg.f64 y)
(neg.f64 y)
(*.f64 x x)
(*.f64 (-.f64 x y) x)
(*.f64 (-.f64 x y) x)
(*.f64 (-.f64 x y) x)
(.f64 (.f64 x x) #s(literal 2 binary64))
(.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))
(.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))
(.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))
(.f64 #s(literal -2 binary64) (.f64 y x))
(.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))
(.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))
(.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))
(neg.f64 y)
(-.f64 x y)
(-.f64 x y)
(-.f64 x y)
(.f64 #s(literal -2 binary64) (.f64 y x))
(.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))
(.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))
(.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))
(.f64 #s(literal -2 binary64) (.f64 y x))
(.f64 #s(literal -2 binary64) (.f64 y x))
(.f64 #s(literal -2 binary64) (.f64 y x))
(.f64 #s(literal -2 binary64) (.f64 y x))
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(.f64 #s(literal -2 binary64) (.f64 y x))
(.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))
(.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))
(.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))
(*.f64 (neg.f64 y) x)
(*.f64 (-.f64 x y) x)
(*.f64 (-.f64 x y) x)
(*.f64 (-.f64 x y) x)
(*.f64 (neg.f64 y) x)
(*.f64 (-.f64 x y) x)
(*.f64 (-.f64 x y) x)
(*.f64 (-.f64 x y) x)
(.f64 #s(literal -2 binary64) (.f64 y x))
(.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))
(.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))
(.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))
(*.f64 (neg.f64 y) x)
(*.f64 (neg.f64 y) x)
(*.f64 (neg.f64 y) x)
(*.f64 (neg.f64 y) x)
(neg.f64 y)
(neg.f64 y)
(neg.f64 y)
(neg.f64 y)
(*.f64 (neg.f64 y) x)
(*.f64 (-.f64 x y) x)
(*.f64 (-.f64 x y) x)
(*.f64 (-.f64 x y) x)
(.f64 #s(literal -2 binary64) (.f64 y x))
(.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))
(.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))
(.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))
(.f64 #s(literal -2 binary64) (.f64 y x))
(.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))
(.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))
(.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))
(neg.f64 y)
(-.f64 x y)
(-.f64 x y)
(-.f64 x y)
(.f64 #s(literal -2 binary64) (.f64 y x))
(.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))
(.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))
(.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))
(.f64 #s(literal -2 binary64) (.f64 y x))
(.f64 #s(literal -2 binary64) (.f64 y x))
(.f64 #s(literal -2 binary64) (.f64 y x))
(.f64 #s(literal -2 binary64) (.f64 y x))
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(.f64 #s(literal -2 binary64) (.f64 y x))
(.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))
(.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))
(.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))
(*.f64 (neg.f64 y) x)
(*.f64 (-.f64 x y) x)
(*.f64 (-.f64 x y) x)
(*.f64 (-.f64 x y) x)
(*.f64 (neg.f64 y) x)
(*.f64 (-.f64 x y) x)
(*.f64 (-.f64 x y) x)
(*.f64 (-.f64 x y) x)
(.f64 #s(literal -2 binary64) (.f64 y x))
(.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))
(.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))
(.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))
(*.f64 (neg.f64 y) x)
(*.f64 (neg.f64 y) x)
(*.f64 (neg.f64 y) x)
(*.f64 (neg.f64 y) x)
(neg.f64 y)
(neg.f64 y)
(neg.f64 y)
(neg.f64 y)
(*.f64 (neg.f64 y) x)
(*.f64 (-.f64 x y) x)
(*.f64 (-.f64 x y) x)
(*.f64 (-.f64 x y) x)
(.f64 #s(literal -2 binary64) (.f64 y x))
(.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))
(.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))
(.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))
(.f64 #s(literal -2 binary64) (.f64 y x))
(.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))
(.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))
(.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))
(neg.f64 y)
(-.f64 x y)
(-.f64 x y)
(-.f64 x y)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(.f64 #s(literal -2 binary64) (.f64 y x))
(.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))
(.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))
(.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))
(.f64 #s(literal -2 binary64) (.f64 y x))
(.f64 #s(literal -2 binary64) (.f64 y x))
(.f64 #s(literal -2 binary64) (.f64 y x))
(.f64 #s(literal -2 binary64) (.f64 y x))
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(.f64 #s(literal -2 binary64) (.f64 y x))
(.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))
(.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))
(.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))
(*.f64 (neg.f64 y) x)
(*.f64 (-.f64 x y) x)
(*.f64 (-.f64 x y) x)
(*.f64 (-.f64 x y) x)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 (neg.f64 y) x)
(*.f64 (-.f64 x y) x)
(*.f64 (-.f64 x y) x)
(*.f64 (-.f64 x y) x)
(.f64 #s(literal -2 binary64) (.f64 y x))
(.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))
(.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))
(.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))
(*.f64 (neg.f64 y) x)
(*.f64 (neg.f64 y) x)
(*.f64 (neg.f64 y) x)
(*.f64 (neg.f64 y) x)
(*.f64 (neg.f64 y) x)
(*.f64 (-.f64 x y) x)
(*.f64 (-.f64 x y) x)
(*.f64 (-.f64 x y) x)
(.f64 #s(literal -2 binary64) (.f64 y x))
(.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))
(.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))
(.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))
(.f64 (.f64 x x) #s(literal 2 binary64))
(.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))
(.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))
(.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))
x
(-.f64 x y)
(-.f64 x y)
(-.f64 x y)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(.f64 (.f64 x x) #s(literal 2 binary64))
(.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))
(.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))
(.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))
(.f64 #s(literal -2 binary64) (.f64 y x))
(.f64 #s(literal -2 binary64) (.f64 y x))
(.f64 #s(literal -2 binary64) (.f64 y x))
(.f64 #s(literal -2 binary64) (.f64 y x))
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(.f64 (.f64 x x) #s(literal 2 binary64))
(.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))
(.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))
(.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))
(*.f64 x x)
(*.f64 (-.f64 x y) x)
(*.f64 (-.f64 x y) x)
(*.f64 (-.f64 x y) x)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 (-.f64 x y) x)
(*.f64 (-.f64 x y) x)
(*.f64 (-.f64 x y) x)
(.f64 (.f64 x x) #s(literal 2 binary64))
(.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))
(.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))
(.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))
(*.f64 (neg.f64 y) x)
(*.f64 (neg.f64 y) x)
(*.f64 (neg.f64 y) x)
(*.f64 (neg.f64 y) x)
(*.f64 x x)
(*.f64 (-.f64 x y) x)
(*.f64 (-.f64 x y) x)
(*.f64 (-.f64 x y) x)
(.f64 (.f64 x x) #s(literal 2 binary64))
(.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))
(.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))
(.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))
(.f64 (.f64 x x) #s(literal 2 binary64))
(.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))
(.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))
(.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))
x
(-.f64 x y)
(-.f64 x y)
(-.f64 x y)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(.f64 (.f64 x x) #s(literal 2 binary64))
(.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))
(.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))
(.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))
(.f64 #s(literal -2 binary64) (.f64 y x))
(.f64 #s(literal -2 binary64) (.f64 y x))
(.f64 #s(literal -2 binary64) (.f64 y x))
(.f64 #s(literal -2 binary64) (.f64 y x))
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(.f64 (.f64 x x) #s(literal 2 binary64))
(.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))
(.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))
(.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))
(*.f64 x x)
(*.f64 (-.f64 x y) x)
(*.f64 (-.f64 x y) x)
(*.f64 (-.f64 x y) x)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 (-.f64 x y) x)
(*.f64 (-.f64 x y) x)
(*.f64 (-.f64 x y) x)
(.f64 (.f64 x x) #s(literal 2 binary64))
(.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))
(.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))
(.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))
(*.f64 (neg.f64 y) x)
(*.f64 (neg.f64 y) x)
(*.f64 (neg.f64 y) x)
(*.f64 (neg.f64 y) x)
(*.f64 x x)
(*.f64 (-.f64 x y) x)
(*.f64 (-.f64 x y) x)
(*.f64 (-.f64 x y) x)
(.f64 (.f64 x x) #s(literal 2 binary64))
(.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))
(.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))
(.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))

rewrite509.0ms (13.2%)

Memory

-8.3MiB live, 271.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	101
0	36	87
1	113	87
2	719	87
3	7951	87
0	8361	87

Stop Event

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

Counts

15 → 1 018

Calls

Call 1

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

Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>

eval340.0ms (8.8%)

Memory: -12.8MiB live, 303.8MiB allocated
Compiler: Compiled 27 434 to 1 630 computations (94.1% saved)

prune39.0ms (1%)

Memory

28.3MiB live, 104.1MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	1 390	0	1 390
Fresh	0	0	0
Picked	0	5	5
Done	0	0	0
Total	1 390	5	1 395

Accuracy

100.0%

Counts

1 395 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 (-.f64 x y) (.f64 #s(literal 2 binary64) x))
✓	96.9%	(.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 y) x (.f64 x x)))
✓	98.0%	(.f64 #s(literal 2 binary64) (fma.f64 x x (.f64 (neg.f64 y) x)))
✓	58.5%	(.f64 #s(literal 2 binary64) #s(approx (- ( x x) (* x y)) (*.f64 x x)))
✓	60.5%	#s(approx (* 2 (- (* x x) (* x y))) (.f64 #s(literal -2 binary64) (.f64 y x)))

Compiler

Compiled 115 to 67 computations (41.7% saved)

regimes14.0ms (0.4%)

Memory

-14.8MiB live, 22.6MiB allocated

Counts

6 → 1

Calls

Call 1

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

Outputs
(.f64 (-.f64 x y) (.f64 #s(literal 2 binary64) x))

Calls

4 calls:

6.0ms	y
3.0ms	x
3.0ms	(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))
3.0ms	(-.f64 (.f64 x x) (.f64 x y))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))`
100.0%	1	`(-.f64 (.f64 x x) (.f64 x y))`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes7.0ms (0.2%)

Memory

15.1MiB live, 15.1MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs
#s(approx (* 2 (- (* x x) (* x y))) (.f64 #s(literal -2 binary64) (.f64 y x)))
(.f64 #s(literal 2 binary64) #s(approx (- ( x x) (* x y)) (*.f64 x x)))

Outputs

#s(approx (* 2 (- (* x x) (* x y))) (*.f64 #s(literal -2 binary64) (*.f64 y x)))

(*.f64 #s(literal 2 binary64) #s(approx (- (* x x) (* x y)) (*.f64 x x)))

#s(approx (* 2 (- (* x x) (* x y))) (*.f64 #s(literal -2 binary64) (*.f64 y x)))

Calls

4 calls:

2.0ms	y
2.0ms	(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))
2.0ms	x
2.0ms	(-.f64 (.f64 x x) (.f64 x y))

Results

Accuracy	Segments	Branch
82.0%	3	`x`
87.8%	3	`y`
82.7%	4	`(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))`
82.7%	4	`(-.f64 (.f64 x x) (.f64 x y))`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes6.0ms (0.1%)

Memory

12.9MiB live, 12.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (* 2 (- (* x x) (* x y))) (.f64 #s(literal -2 binary64) (.f64 y x)))

Outputs
#s(approx (* 2 (- (* x x) (* x y))) (.f64 #s(literal -2 binary64) (.f64 y x)))

Calls

4 calls:

1.0ms	x
1.0ms	(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))
1.0ms	y
1.0ms	(-.f64 (.f64 x x) (.f64 x y))

Results

Accuracy	Segments	Branch
60.5%	1	`(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))`
60.5%	1	`(-.f64 (.f64 x x) (.f64 x y))`
60.5%	1	`x`
60.5%	1	`y`

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch41.0ms (1.1%)

Memory

-26.6MiB live, 53.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	1.7386817013662248e-15	19.284957673673215
20.0ms	-1.5629968820218436e+24	-47969084438422.5

Samples

21.0ms

320×

valid

Compiler

Compiled 572 to 452 computations (21% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-sub: 8.0ms (54.2% of total)

ival-mult: 6.0ms (40.6% of total)

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

exact: 0.0ms (0% of total)

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

simplify25.0ms (0.6%)

Memory

25.0MiB live, 63.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	73
1	30	73
2	35	73
3	37	73
4	38	73

Stop Event

1×

saturated

Calls

Call 1

Inputs

(*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x))

(if (<=.f64 y #s(literal -70000000000000 binary64)) #s(approx (* 2 (- (* x x) (* x y))) (*.f64 #s(literal -2 binary64) (*.f64 y x))) (if (<=.f64 y #s(literal 6346860552976803/604462909807314587353088 binary64)) (*.f64 #s(literal 2 binary64) #s(approx (- (* x x) (* x y)) (*.f64 x x))) #s(approx (* 2 (- (* x x) (* x y))) (*.f64 #s(literal -2 binary64) (*.f64 y x)))))

#s(approx (* 2 (- (* x x) (* x y))) (*.f64 #s(literal -2 binary64) (*.f64 y x)))

Outputs

(*.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 x y))

(if (<=.f64 y #s(literal -70000000000000 binary64)) #s(approx (* 2 (- (* x x) (* x y))) (*.f64 (*.f64 y x) #s(literal -2 binary64))) (if (<=.f64 y #s(literal 6346860552976803/604462909807314587353088 binary64)) (*.f64 #s(approx (- (* x x) (* x y)) (*.f64 x x)) #s(literal 2 binary64)) #s(approx (* 2 (- (* x x) (* x y))) (*.f64 (*.f64 y x) #s(literal -2 binary64)))))

#s(approx (* 2 (- (* x x) (* x y))) (*.f64 (*.f64 y x) #s(literal -2 binary64)))

soundness487.0ms (12.6%)

Memory

-39.3MiB live, 291.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	501
1	132	411
2	313	411
3	1113	375
4	3485	375
5	5533	375
6	6532	375
0	8025	375
0	7	22
0	11	18
1	34	18
2	235	18
3	2204	18
0	8785	18

Stop Event

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

Compiler

Compiled 104 to 49 computations (52.9% saved)

preprocess120.0ms (3.1%)

Memory: 33.1MiB live, 113.1MiB allocated
Compiler: Compiled 178 to 74 computations (58.4% saved)

end0.0ms (0%)

Memory: -38.9MiB live, 0.1MiB allocated

Iter	Nodes	Cost
0	7	25
0	11	21
1	20	21
2	44	21
3	95	21
4	173	21
5	233	21
6	383	21
7	551	21
8	756	21
9	806	21
0	806	21

Iter	Nodes	Cost
0	23	120
0	36	106
1	70	106
2	112	106
3	183	106
4	307	106
5	501	106
6	754	106
7	835	106
8	835	106
0	835	106

Iter	Nodes	Cost
0	7	25
0	11	21
1	20	21
2	44	21
3	95	21
4	173	21
5	233	21
6	383	21
7	551	21
8	756	21
9	806	21
0	806	21

Iter	Nodes	Cost
0	23	120
0	36	106
1	70	106
2	112	106
3	183	106
4	307	106
5	501	106
6	754	106
7	835	106
8	835	106
0	835	106

start0.0ms (0%)

analyze0.0ms (0%)

sample880.0ms (22.8%)

explain122.0ms (3.2%)

preprocess88.0ms (2.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify25.0ms (0.7%)

localize21.0ms (0.6%)

series8.0ms (0.2%)

simplify107.0ms (2.8%)

rewrite319.0ms (8.3%)

eval140.0ms (3.6%)

prune108.0ms (2.8%)

simplify25.0ms (0.7%)

localize86.0ms (2.2%)

series20.0ms (0.5%)

simplify318.0ms (8.3%)

rewrite509.0ms (13.2%)

eval340.0ms (8.8%)

prune39.0ms (1%)

regimes14.0ms (0.4%)

regimes7.0ms (0.2%)

regimes6.0ms (0.1%)

bsearch41.0ms (1.1%)

simplify25.0ms (0.6%)

soundness487.0ms (12.6%)

preprocess120.0ms (3.1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	7	25
0	11	21
1	20	21
2	44	21
3	95	21
4	173	21
5	233	21
6	383	21
7	551	21
8	756	21
9	806	21
0	806	21

Iter	Nodes	Cost
0	23	120
0	36	106
1	70	106
2	112	106
3	183	106
4	307	106
5	501	106
6	754	106
7	835	106
8	835	106
0	835	106