Metrics for Diagrams.TwoD.Arc:arcBetween from diagrams-lib-1.3.0.3

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze2.0ms (0%)

Memory

3.2MiB live, 3.2MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
75%	74.9%	25%	0.1%	0%	0%	0%	3
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	4
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	5
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	6
98.4%	98.3%	1.6%	0.1%	0%	0%	0%	7
99.2%	99.1%	0.8%	0.1%	0%	0%	0%	8
99.6%	99.5%	0.4%	0.1%	0%	0%	0%	9
99.8%	99.7%	0.2%	0.1%	0%	0%	0%	10
99.9%	99.8%	0.1%	0.1%	0%	0%	0%	11
100%	99.9%	0%	0.1%	0%	0%	0%	12

Compiler

Compiled 21 to 11 computations (47.6% saved)

sample955.0ms (11.7%)

Memory

4.5MiB live, 1 161.3MiB allocated

Samples

676.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 417.0ms

ival-mult: 232.0ms (55.6% of total)

ival-add: 68.0ms (16.3% of total)

ival-div: 65.0ms (15.6% of total)

ival-sub: 38.0ms (9.1% of total)

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

exact: 5.0ms (1.2% of total)

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

Bogosity

explain191.0ms (2.3%)

Memory

-9.0MiB live, 205.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
130	-	-	`(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))`
12	-	-	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`
0	-	-	`(.f64 (.f64 y #s(literal 4 binary64)) y)`
0	-	-	`(*.f64 y #s(literal 4 binary64))`
0	-	-	`#s(literal 4 binary64)`
0	-	-	`(*.f64 x x)`
0	-	-	`(+.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`
0	-	-	`y`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))`	o/o	110	0
↳	`(.f64 (.f64 y #s(literal 4 binary64)) y)`	overflow	61
↳	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`	overflow	110
↳	`(*.f64 y #s(literal 4 binary64))`	overflow	1
↳	`(*.f64 x x)`	overflow	61
↳	`(.f64 (.f64 y #s(literal 4 binary64)) y)`	overflow	61
↳	`(+.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`	overflow	110
↳	`(*.f64 y #s(literal 4 binary64))`	overflow	1
↳	`(*.f64 x x)`	overflow	61
`/.f64`	`(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))`	u/u	20	0
↳	`(.f64 (.f64 y #s(literal 4 binary64)) y)`	underflow	64
↳	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`	underflow	20
↳	`(*.f64 x x)`	underflow	58
↳	`(.f64 (.f64 y #s(literal 4 binary64)) y)`	underflow	64
↳	`(+.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`	underflow	20
↳	`(*.f64 x x)`	underflow	58
`-.f64`	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`	nan-rescue	12	0
↳	`(*.f64 x x)`	overflow	61
↳	`(.f64 (.f64 y #s(literal 4 binary64)) y)`	overflow	61
↳	`(*.f64 y #s(literal 4 binary64))`	overflow	1

Confusion

	Predicted +	Predicted -
+	130	0
-	0	126

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	130	0	0
-	0	0	126

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	126
1	118
2	12

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

57.0ms

512×

valid

Compiler

Compiled 125 to 31 computations (75.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-mult: 23.0ms (54.7% of total)

ival-div: 11.0ms (26.1% of total)

ival-sub: 5.0ms (11.9% of total)

ival-add: 2.0ms (4.8% of total)

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

exact: 0.0ms (0% of total)

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

preprocess99.0ms (1.2%)

Memory

2.6MiB live, 76.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	97
1	85	97
2	262	95
3	549	95
4	1072	95
5	1489	95
6	1642	95
7	1653	95
0	9	19
0	15	19
1	30	19
2	81	19
3	190	19
4	390	19
5	608	19
6	880	19
7	892	19
0	892	17

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))

Outputs

(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)))

(/.f64 (fma.f64 (*.f64 y y) #s(literal -4 binary64) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))

Symmetry

(abs y)

(abs x)

Compiler

Compiled 19 to 9 computations (52.6% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.2%	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))

Compiler

Compiled 19 to 9 computations (52.6% saved)

simplify51.0ms (0.6%)

Memory

-24.9MiB live, 12.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	0	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))
cost-diff	1	(+.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))
cost-diff	1	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	51
0	15	51
1	30	51
2	81	51
3	190	51
4	390	51
5	608	51
6	880	51
7	892	51
0	892	47

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))
(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))
(*.f64 x x)
x
(.f64 (.f64 y #s(literal 4 binary64)) y)
(*.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
(+.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))

Outputs
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))
(/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)))
(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))
(fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x))
(*.f64 x x)
x
(.f64 (.f64 y #s(literal 4 binary64)) y)
(.f64 (.f64 #s(literal 4 binary64) y) y)
(*.f64 y #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) y)
y
#s(literal 4 binary64)
(+.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))
(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))

localize47.0ms (0.6%)

Memory

4.5MiB live, 50.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.01171875	(+.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))
accuracy	2.902323108302058	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))
accuracy	31.921641828741787	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))

Samples

42.0ms

256×

valid

Compiler

Compiled 53 to 11 computations (79.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-sub: 26.0ms (75.1% of total)

ival-mult: 6.0ms (17.3% of total)

ival-div: 2.0ms (5.8% of total)

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

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

7.9MiB live, 7.9MiB allocated

Counts

4 → 24

Calls

Call 1

Inputs
(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))
(+.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))
(*.f64 x x)

Outputs
(* -4 (pow y 2))
(- (pow x 2) (* 4 (pow y 2)))
(* 4 (pow y 2))
(+ (* 4 (pow y 2)) (pow x 2))
-1
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1)
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1)
(pow x 2)
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
1
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
(+ (* -4 (pow y 2)) (pow x 2))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	((- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (* x x))
1.0ms	x	@	0	((- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (* x x))
1.0ms	y	@	inf	((- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (* x x))
1.0ms	y	@	-inf	((- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (* x x))
1.0ms	y	@	0	((- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (* x x))

simplify1.7s (20.3%)

Memory

36.2MiB live, 206.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	115	440
1	326	402
2	1092	358
3	6285	354
0	8250	332

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 24

Calls

Call 1

Inputs
(* -4 (pow y 2))
(- (pow x 2) (* 4 (pow y 2)))
(* 4 (pow y 2))
(+ (* 4 (pow y 2)) (pow x 2))
-1
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1)
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1)
(pow x 2)
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
1
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
(+ (* -4 (pow y 2)) (pow x 2))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))

Outputs
(* -4 (pow y 2))
(.f64 (.f64 y y) #s(literal -4 binary64))
(- (pow x 2) (* 4 (pow y 2)))
(fma.f64 (.f64 #s(literal -4 binary64) y) y (.f64 x x))
(* 4 (pow y 2))
(.f64 #s(literal 4 binary64) (.f64 y y))
(+ (* 4 (pow y 2)) (pow x 2))
(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
-1
#s(literal -1 binary64)
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64))
(- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1)
(-.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/2 binary64) (.f64 y y)) (*.f64 x x) #s(literal 1 binary64)))
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1)
(-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal 1/32 binary64) x) (/.f64 x (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64))))) (fma.f64 (/.f64 #s(literal -1/2 binary64) (.f64 y y)) (.f64 x x) #s(literal 1 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(.f64 (fma.f64 (.f64 #s(literal -4 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(.f64 (fma.f64 (.f64 #s(literal 4 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x x))
1
#s(literal 1 binary64)
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))
(fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))
(fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) (fma.f64 (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
(+.f64 (/.f64 (.f64 (pow.f64 (.f64 y y) #s(literal 3 binary64)) #s(literal -128 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) (fma.f64 (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))))
(+ (* -4 (pow y 2)) (pow x 2))
(fma.f64 (.f64 #s(literal -4 binary64) y) y (.f64 x x))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) (fma.f64 (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -128 binary64) y) (/.f64 y (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 y y) (/.f64 #s(literal -8 binary64) (.f64 x x))) (.f64 y y) #s(literal 1 binary64))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(.f64 (-.f64 (.f64 (/.f64 (/.f64 x y) y) x) #s(literal 4 binary64)) (*.f64 y y))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(.f64 (fma.f64 (/.f64 (/.f64 x y) y) x #s(literal 4 binary64)) (.f64 y y))
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64))
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(-.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/2 binary64) (.f64 y y)) (*.f64 x x) #s(literal 1 binary64)))
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))
(+.f64 (-.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/2 binary64) (.f64 y y)) (.f64 x x) #s(literal 1 binary64))) (/.f64 (.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/32 binary64)) (pow.f64 y #s(literal 6 binary64))))

rewrite270.0ms (3.3%)

Memory

-25.3MiB live, 280.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	40
0	15	40
1	52	40
2	382	40
0	5623	36

Stop Event

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

Counts

4 → 467

Calls

Call 1

Inputs
(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))
(+.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))
(*.f64 x x)

Outputs
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) #s(literal 4 binary64)) (.f64 y y)) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) #s(literal 4 binary64)) (*.f64 y y))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) #s(literal 4 binary64)) (.f64 y y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) #s(literal 4 binary64)) (.f64 y y)) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))))
(.f64 (/.f64 (fma.f64 (pow.f64 (.f64 y y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (.f64 y y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (.f64 y y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64))) (neg.f64 (fma.f64 (pow.f64 (.f64 y y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(.f64 (/.f64 (fma.f64 (pow.f64 (.f64 y y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64)))) (fma.f64 (neg.f64 x) x (.f64 (.f64 #s(literal 4 binary64) y) y)))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64))) (fma.f64 (pow.f64 (.f64 y y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (neg.f64 x) x (.f64 (.f64 #s(literal 4 binary64) y) y)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (.f64 y y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (fma.f64 (pow.f64 (.f64 y y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))))) (fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) (/.f64 (fma.f64 (pow.f64 (.f64 y y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64)))))) (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) #s(literal 4 binary64)) (.f64 y y) (pow.f64 x #s(literal 4 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (fma.f64 (.f64 #s(literal 4 binary64) y) y (*.f64 x x))))
(.f64 (/.f64 (fma.f64 (pow.f64 (.f64 y y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (fma.f64 (pow.f64 (.f64 y y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (.f64 y y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (.f64 y y) (*.f64 x x)))
(.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) #s(literal 4 binary64)) (.f64 y y) (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))))
(.f64 (fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 (pow.f64 (.f64 y y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))))))
(.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (fma.f64 (.f64 #s(literal 4 binary64) y) y (*.f64 x x))))
(.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (*.f64 x x)) #s(literal 1 binary64))
(/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64))) (/.f64 (fma.f64 (pow.f64 (.f64 y y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64)))))) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)))
(/.f64 (.f64 (/.f64 (fma.f64 (pow.f64 (.f64 y y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (fma.f64 (pow.f64 (.f64 y y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (.f64 (.f64 (.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x))) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (.f64 y y) (*.f64 x x)))))
(/.f64 (.f64 (/.f64 (fma.f64 (pow.f64 (.f64 y y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (fma.f64 (pow.f64 (.f64 y y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))))) (+.f64 (pow.f64 (.f64 (.f64 (.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (.f64 (.f64 (.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x))) (fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (.f64 y y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (.f64 y y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)))) (.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) (/.f64 (pow.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))))) (fma.f64 (neg.f64 x) x (.f64 (.f64 #s(literal 4 binary64) y) y)))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) #s(literal 4 binary64)) (.f64 y y) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) #s(literal 4 binary64)) (.f64 y y) (pow.f64 x #s(literal 4 binary64))))) (.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64)) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) #s(literal 4 binary64)) (.f64 y y) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64)) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) #s(literal 4 binary64)) (.f64 y y) (pow.f64 x #s(literal 4 binary64)))))) (+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) #s(literal 4 binary64)) (.f64 y y) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64)) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) #s(literal 4 binary64)) (.f64 y y) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) (fma.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) (/.f64 (pow.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) (.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) (/.f64 (pow.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 4 binary64) y) y (*.f64 x x)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) #s(literal 4 binary64)) (.f64 y y) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64)) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) #s(literal 4 binary64)) (.f64 y y) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) #s(literal 4 binary64)) (.f64 y y) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) #s(literal 4 binary64)) (.f64 y y) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64)) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) #s(literal 4 binary64)) (.f64 y y) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64)) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) #s(literal 4 binary64)) (.f64 y y) (pow.f64 x #s(literal 4 binary64)))) (.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) #s(literal 4 binary64)) (.f64 y y) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64)) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64))))))))
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(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64))))) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) #s(literal 4 binary64)) (.f64 y y) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 y y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (.f64 #s(literal 4 binary64) y) y (*.f64 x x)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (.f64 (.f64 (.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x))) #s(literal 2 binary64)))) (.f64 (fma.f64 (pow.f64 (.f64 y y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (.f64 y y) (*.f64 x x))))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64))) (+.f64 (pow.f64 (.f64 (.f64 (.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (.f64 (fma.f64 (pow.f64 (.f64 y y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (.f64 (.f64 (.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x))) (fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (.f64 y y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64))) (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64))))) (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64))) (neg.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) #s(literal 4 binary64)) (.f64 y y) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64)))) (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64))) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) #s(literal 4 binary64)) (.f64 y y) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64))) (fma.f64 (pow.f64 (.f64 y y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64))) (neg.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (*.f64 x x)))))
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(fma.f64 x (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) (.f64 (neg.f64 (/.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) (fma.f64 (pow.f64 (.f64 y y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 x (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) (.f64 (neg.f64 y) (.f64 #s(literal 4 binary64) (/.f64 y (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))))))
(fma.f64 x (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) (.f64 (.f64 #s(literal -4 binary64) y) (/.f64 y (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) #s(literal 2 binary64))) (/.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)))) (/.f64 (pow.f64 (.f64 (/.f64 y (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) (.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)) (/.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 y (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) (.f64 #s(literal 4 binary64) y)) (/.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (.f64 (/.f64 y (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) (.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64)) (fma.f64 (.f64 (/.f64 y (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) (.f64 #s(literal 4 binary64) y)) (/.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) #s(literal 2 binary64))))))
(-.f64 (/.f64 (.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) (.f64 x x)) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) #s(literal 2 binary64))) (/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) #s(literal 4 binary64)) (.f64 y y)) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) #s(literal 4 binary64)) (.f64 y y) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)))) (/.f64 (pow.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) #s(literal 4 binary64)) (.f64 y y) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) #s(literal 4 binary64)) (.f64 y y) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) (/.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64)) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) #s(literal 4 binary64)) (.f64 y y) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) #s(literal 2 binary64))) (pow.f64 (.f64 (/.f64 y (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) (.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)))
(-.f64 (.f64 (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) x) (.f64 (/.f64 y (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) (*.f64 #s(literal 4 binary64) y)))
(+.f64 (.f64 (.f64 (.f64 #s(literal -4 binary64) y) y) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) #s(literal 1 binary64))) (.f64 (.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) y) y (*.f64 x x))) #s(literal 1 binary64))))
(+.f64 (.f64 (.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) #s(literal 1 binary64))) (.f64 (.f64 (.f64 #s(literal -4 binary64) y) y) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) y) y (*.f64 x x))) #s(literal 1 binary64))))
(+.f64 (.f64 (.f64 (.f64 (.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x))) (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (fma.f64 (pow.f64 (.f64 y y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))))) (.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))))))
(+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (fma.f64 (pow.f64 (.f64 y y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))))) (.f64 (.f64 (.f64 (.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x))) (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))))))
(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) #s(literal 1 binary64)) (.f64 (.f64 #s(literal -4 binary64) y) y)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) #s(literal 1 binary64)) (*.f64 x x)))
(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) #s(literal 1 binary64)) (.f64 x x)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) #s(literal 1 binary64)) (.f64 (*.f64 #s(literal -4 binary64) y) y)))
(+.f64 (.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (fma.f64 (pow.f64 (.f64 y y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (.f64 (.f64 (.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)))) (.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))))
(+.f64 (.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (fma.f64 (pow.f64 (.f64 y y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))) (.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (fma.f64 (pow.f64 (.f64 y y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (.f64 (.f64 (.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (.f64 y y) (*.f64 x x)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) #s(literal 2 binary64))) (.f64 (.f64 (.f64 #s(literal -4 binary64) y) (/.f64 y (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)))) (.f64 (/.f64 y (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) (*.f64 #s(literal 4 binary64) y))))
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64))) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) #s(literal 2 binary64))))
(+.f64 (.f64 (.f64 #s(literal -4 binary64) y) (/.f64 y (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)))) (.f64 (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) y) y (*.f64 x x))) x))
(+.f64 (.f64 (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) x) (.f64 (neg.f64 (/.f64 (.f64 (.f64 #s(literal -4 binary64) y) y) (fma.f64 (pow.f64 (.f64 y y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))))) (fma.f64 #s(literal -4 binary64) (.f64 y y) (*.f64 x x))))
(+.f64 (.f64 (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) x) (.f64 (neg.f64 (/.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) (fma.f64 (pow.f64 (.f64 y y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (.f64 y y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (.f64 (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) x) (.f64 (neg.f64 y) (.f64 #s(literal 4 binary64) (/.f64 y (fma.f64 (.f64 #s(literal 4 binary64) y) y (*.f64 x x))))))
(+.f64 (.f64 (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) x) (.f64 (.f64 #s(literal -4 binary64) y) (/.f64 y (fma.f64 (.f64 #s(literal 4 binary64) y) y (*.f64 x x)))))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))

eval55.0ms (0.7%)

Memory: 16.8MiB live, 127.2MiB allocated
Compiler: Compiled 23 724 to 1 315 computations (94.5% saved)

prune13.0ms (0.2%)

Memory

-7.4MiB live, 40.1MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	495	6	501
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	496	6	502

Accuracy

99.5%

Counts

502 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.2%	(/.f64 (fma.f64 (.f64 #s(literal -4 binary64) y) y (.f64 x x)) (+.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y)))
▶	49.0%	(/.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)))
▶	45.5%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)))
▶	57.8%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64)))
▶	43.5%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
▶	56.1%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Compiler

Compiled 276 to 148 computations (46.4% saved)

simplify97.0ms (1.2%)

Memory

-22.2MiB live, 92.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 x x)
cost-diff	0	(*.f64 y y)
cost-diff	0	(fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x))
cost-diff	0	(/.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)))
cost-diff	0	(/.f64 y x)
cost-diff	0	(*.f64 #s(literal -8 binary64) (/.f64 y x))
cost-diff	0	(fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)))
cost-diff	0	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
cost-diff	0	(.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y))
cost-diff	0	(-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64)))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	205
0	48	201
1	101	197
2	240	197
3	590	197
4	1321	197
5	2545	197
6	3764	197
7	3920	197
8	3924	197
9	3924	197
10	4052	197
11	4108	197
12	4108	197
0	4108	197

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64)))
(-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
#s(literal 1/2 binary64)
(/.f64 x y)
x
y
#s(literal 1 binary64)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))
(*.f64 #s(literal -8 binary64) (/.f64 y x))
#s(literal -8 binary64)
(/.f64 y x)
y
x
#s(literal 1 binary64)
(/.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)))
(fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x))
#s(literal -4 binary64)
(*.f64 y y)
y
(*.f64 x x)
x
(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
(*.f64 #s(literal 4 binary64) y)
#s(literal 4 binary64)

Outputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (.f64 x x)) #s(literal 1 binary64)))
(-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64))
(-.f64 (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (.f64 x x)) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y))
(.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (.f64 x x))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 x y)
x
y
#s(literal 1 binary64)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64)) (/.f64 y x) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64)) (/.f64 y x) #s(literal 1 binary64))
(*.f64 #s(literal -8 binary64) (/.f64 y x))
(*.f64 (/.f64 y x) #s(literal -8 binary64))
#s(literal -8 binary64)
(/.f64 y x)
y
x
#s(literal 1 binary64)
(/.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)))
(/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (fma.f64 (.f64 y y) #s(literal 4 binary64) (.f64 x x)))
(fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x))
(fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x))
#s(literal -4 binary64)
(*.f64 y y)
y
(*.f64 x x)
x
(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
(fma.f64 (.f64 y y) #s(literal 4 binary64) (.f64 x x))
(*.f64 #s(literal 4 binary64) y)
#s(literal 4 binary64)

localize79.0ms (1%)

Memory

-2.4MiB live, 83.3MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.0	(*.f64 #s(literal 4 binary64) y)
accuracy	2.906229358302058	(fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x))
accuracy	31.921641828741787	(/.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)))
accuracy	0.0	(/.f64 y x)
accuracy	0.029628759768442016	(*.f64 #s(literal -8 binary64) (/.f64 y x))
accuracy	0.13119125976844204	(fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))
accuracy	34.87122133252261	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)))
accuracy	36.13219959340221	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
accuracy	28.095244384864948	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
accuracy	0.0	(-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64))
accuracy	0.00390625	(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
accuracy	0.2109375	(.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y))
accuracy	27.016377010813212	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64)))

Samples

63.0ms

256×

valid

Compiler

Compiled 185 to 31 computations (83.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-mult: 22.0ms (44.6% of total)

ival-div: 20.0ms (40.5% of total)

ival-add: 4.0ms (8.1% of total)

ival-sub: 2.0ms (4.1% of total)

exact: 1.0ms (2% of total)

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

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

series19.0ms (0.2%)

Memory

23.9MiB live, 23.9MiB allocated

Counts

15 → 30

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64)))
(-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))
(*.f64 #s(literal -8 binary64) (/.f64 y x))
(/.f64 y x)
(/.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)))
(fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x))
(*.f64 y y)
(*.f64 x x)
(*.f64 #s(literal 4 binary64) y)

Outputs
-1
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1)
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1)
(* 1/2 (/ (pow x 2) (pow y 2)))
(* 1/2 (/ x y))
(* -8 (/ (pow y 2) (pow x 2)))
(/ (+ (* -8 (pow y 2)) (pow x 2)) (pow x 2))
(* -8 (/ y x))
(/ y x)
(* -4 (pow y 2))
(+ (* -4 (pow y 2)) (pow x 2))
(pow x 2)
1
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))
(/ (+ (* -1 (pow y 2)) (* 1/2 (pow x 2))) (pow y 2))
(pow y 2)
(* 4 y)
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))
(* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (* (* 1/2 (/ x y)) (/ x y)) 1) (* (* 1/2 (/ x y)) (/ x y)) (* 1/2 (/ x y)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (* -8 (/ y x)) (/ y x)) 1) (* -8 (/ y x)) (/ y x) (/ (+ (* -4 (* y y)) (* x x)) (+ (* (* 4 y) y) (* x x))) (+ (* -4 (* y y)) (* x x)) (* y y) (* x x) (* 4 y))
3.0ms	x	@	0	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (* (* 1/2 (/ x y)) (/ x y)) 1) (* (* 1/2 (/ x y)) (/ x y)) (* 1/2 (/ x y)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (* -8 (/ y x)) (/ y x)) 1) (* -8 (/ y x)) (/ y x) (/ (+ (* -4 (* y y)) (* x x)) (+ (* (* 4 y) y) (* x x))) (+ (* -4 (* y y)) (* x x)) (* y y) (* x x) (* 4 y))
3.0ms	y	@	inf	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (* (* 1/2 (/ x y)) (/ x y)) 1) (* (* 1/2 (/ x y)) (/ x y)) (* 1/2 (/ x y)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (* -8 (/ y x)) (/ y x)) 1) (* -8 (/ y x)) (/ y x) (/ (+ (* -4 (* y y)) (* x x)) (+ (* (* 4 y) y) (* x x))) (+ (* -4 (* y y)) (* x x)) (* y y) (* x x) (* 4 y))
3.0ms	y	@	0	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (* (* 1/2 (/ x y)) (/ x y)) 1) (* (* 1/2 (/ x y)) (/ x y)) (* 1/2 (/ x y)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (* -8 (/ y x)) (/ y x)) 1) (* -8 (/ y x)) (/ y x) (/ (+ (* -4 (* y y)) (* x x)) (+ (* (* 4 y) y) (* x x))) (+ (* -4 (* y y)) (* x x)) (* y y) (* x x) (* 4 y))
3.0ms	y	@	-inf	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (* (* 1/2 (/ x y)) (/ x y)) 1) (* (* 1/2 (/ x y)) (/ x y)) (* 1/2 (/ x y)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (* -8 (/ y x)) (/ y x)) 1) (* -8 (/ y x)) (/ y x) (/ (+ (* -4 (* y y)) (* x x)) (+ (* (* 4 y) y) (* x x))) (+ (* -4 (* y y)) (* x x)) (* y y) (* x x) (* 4 y))

simplify169.0ms (2.1%)

Memory

-22.7MiB live, 206.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	125	462
1	348	428
2	1154	388
3	6616	384
0	8267	357

Stop Event

1×	iter limit
1×	node limit

Counts

30 → 30

Calls

Call 1

Inputs
-1
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1)
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1)
(* 1/2 (/ (pow x 2) (pow y 2)))
(* 1/2 (/ x y))
(* -8 (/ (pow y 2) (pow x 2)))
(/ (+ (* -8 (pow y 2)) (pow x 2)) (pow x 2))
(* -8 (/ y x))
(/ y x)
(* -4 (pow y 2))
(+ (* -4 (pow y 2)) (pow x 2))
(pow x 2)
1
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))
(/ (+ (* -1 (pow y 2)) (* 1/2 (pow x 2))) (pow y 2))
(pow y 2)
(* 4 y)
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))
(* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))

Outputs
-1
#s(literal -1 binary64)
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64))
(- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1)
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64)))
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal 1/32 binary64) x) (/.f64 x (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 x (/.f64 x y)) #s(literal -1 binary64)))
(* 1/2 (/ (pow x 2) (pow y 2)))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) x) x)
(* 1/2 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(* -8 (/ (pow y 2) (pow x 2)))
(.f64 (.f64 (/.f64 #s(literal -8 binary64) (*.f64 x x)) y) y)
(/ (+ (* -8 (pow y 2)) (pow x 2)) (pow x 2))
(fma.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64)) (/.f64 y x) #s(literal 1 binary64))
(* -8 (/ y x))
(*.f64 (/.f64 y x) #s(literal -8 binary64))
(/ y x)
(/.f64 y x)
(* -4 (pow y 2))
(.f64 #s(literal -4 binary64) (.f64 y y))
(+ (* -4 (pow y 2)) (pow x 2))
(fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x))
(pow x 2)
(*.f64 x x)
1
#s(literal 1 binary64)
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))
(fma.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64)) (/.f64 y x) #s(literal 1 binary64))
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))
(fma.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y (fma.f64 (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
(+.f64 (fma.f64 (fma.f64 (.f64 #s(literal 32 binary64) y) (/.f64 y (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -8 binary64) (.f64 x x))) (.f64 y y) (/.f64 (.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal -128 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal 1 binary64))
(* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))
(.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x x))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(fma.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64)) (/.f64 y x) #s(literal 1 binary64))
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 #s(literal -4 binary64) (.f64 y y)) #s(literal 1 binary64) (*.f64 x x))
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))
(fma.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y (fma.f64 (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -128 binary64) y) (/.f64 y (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 y y) (/.f64 #s(literal -8 binary64) (.f64 x x))) (.f64 y y) #s(literal 1 binary64))
(/ (+ (* -1 (pow y 2)) (* 1/2 (pow x 2))) (pow y 2))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64))
(pow y 2)
(*.f64 y y)
(* 4 y)
(*.f64 #s(literal 4 binary64) y)
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64))
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64)))
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (+.f64 (/.f64 (.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 1/32 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64))))
(* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64)) (/.f64 y x) #s(literal 1 binary64))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(.f64 (-.f64 (.f64 (/.f64 (/.f64 x y) y) x) #s(literal 4 binary64)) (*.f64 y y))

rewrite303.0ms (3.7%)

Memory

21.3MiB live, 234.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	180
0	48	176
1	178	164
2	1268	164
0	8601	162

Stop Event

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

Counts

15 → 779

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64)))
(-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))
(*.f64 #s(literal -8 binary64) (/.f64 y x))
(/.f64 y x)
(/.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)))
(fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x))
(*.f64 y y)
(*.f64 x x)
(*.f64 #s(literal 4 binary64) y)

Outputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (-.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
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(-.f64 (.f64 x x) (.f64 (neg.f64 (*.f64 #s(literal -4 binary64) (neg.f64 y))) (neg.f64 y)))
(-.f64 (.f64 x x) (.f64 (neg.f64 (neg.f64 y)) (*.f64 (neg.f64 y) #s(literal -4 binary64))))
(-.f64 (.f64 x x) (.f64 (neg.f64 y) (*.f64 #s(literal -4 binary64) y)))
(-.f64 (.f64 x x) (.f64 (neg.f64 (neg.f64 y)) (*.f64 #s(literal 4 binary64) y)))
(-.f64 (.f64 x x) (.f64 (neg.f64 (*.f64 #s(literal -4 binary64) y)) y))
(-.f64 (.f64 x x) (.f64 (neg.f64 (*.f64 y y)) #s(literal -4 binary64)))
(-.f64 (.f64 x x) (.f64 (*.f64 #s(literal 4 binary64) y) y))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal -4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)))))) (/.f64 (.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal -4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))))
(+.f64 (/.f64 (.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal -4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal -4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))))
(+.f64 (/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64)) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) (/.f64 (.f64 (.f64 (neg.f64 x) x) (.f64 x x)) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) (/.f64 (.f64 (.f64 (.f64 y y) #s(literal -4 binary64)) (.f64 (.f64 #s(literal 4 binary64) y) y)) (fma.f64 (.f64 #s(literal 4 binary64) y) y (*.f64 x x))))
(+.f64 (/.f64 (.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64))) (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (.f64 #s(literal 4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (.f64 #s(literal 4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64))) (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (neg.f64 (.f64 (.f64 y y) #s(literal -4 binary64))) (*.f64 (neg.f64 x) x))
(+.f64 (.f64 (neg.f64 x) x) (neg.f64 (.f64 (*.f64 y y) #s(literal -4 binary64))))
(+.f64 (.f64 (.f64 y y) #s(literal -4 binary64)) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x)))
(+.f64 (.f64 (.f64 y y) #s(literal -4 binary64)) (*.f64 (neg.f64 (neg.f64 x)) x))
(+.f64 (.f64 (.f64 y y) #s(literal -4 binary64)) (*.f64 x x))
(+.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 x))))
(+.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(+.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) (*.f64 (neg.f64 x) x))
(+.f64 (.f64 x x) (.f64 (neg.f64 (neg.f64 (*.f64 y y))) #s(literal -4 binary64)))
(+.f64 (.f64 x x) (.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -4 binary64) y))) y))
(+.f64 (.f64 x x) (.f64 (neg.f64 (*.f64 #s(literal -4 binary64) y)) (neg.f64 y)))
(+.f64 (.f64 x x) (.f64 (neg.f64 (*.f64 y y)) #s(literal 4 binary64)))
(+.f64 (.f64 x x) (.f64 (neg.f64 y) (*.f64 #s(literal 4 binary64) y)))
(+.f64 (.f64 x x) (.f64 (*.f64 y y) #s(literal -4 binary64)))
(*.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 y))))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 y y)
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 y)) #s(literal 2 binary64))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 y) y))
(neg.f64 (*.f64 y (neg.f64 y)))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(fabs.f64 (neg.f64 (*.f64 y y)))
(fabs.f64 (*.f64 (neg.f64 y) y))
(fabs.f64 (*.f64 y (neg.f64 y)))
(fabs.f64 (*.f64 y y))
(exp.f64 (*.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 y) #s(literal 2 binary64))))
(*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
(*.f64 #s(literal 4 binary64) y)
(*.f64 y #s(literal 4 binary64))

eval93.0ms (1.1%)

Memory: 8.4MiB live, 198.4MiB allocated
Compiler: Compiled 36 316 to 2 164 computations (94% saved)

prune19.0ms (0.2%)

Memory

-20.2MiB live, 55.9MiB allocated

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	827	5	832
Fresh	1	0	1
Picked	2	3	5
Done	0	0	0
Total	830	8	838

Accuracy

99.5%

Counts

838 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.2%	(/.f64 (fma.f64 (.f64 #s(literal -4 binary64) y) y (.f64 x x)) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)))
▶	57.8%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64)))
✓	45.5%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)))
▶	56.9%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))
▶	56.6%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))))))
▶	49.7%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) (*.f64 y y)) #s(literal 1 binary64)))
✓	43.5%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
✓	56.1%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Compiler

Compiled 568 to 229 computations (59.7% saved)

simplify114.0ms (1.4%)

Memory

24.6MiB live, 146.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	9	(.f64 (/.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))
cost-diff	10	(-.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)))
cost-diff	19	(fma.f64 (/.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (/.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))))
cost-diff	20	(fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (/.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))
cost-diff	0	(pow.f64 (/.f64 x y) #s(literal 4 binary64))
cost-diff	0	(fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64))
cost-diff	0	(/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
cost-diff	0	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))
cost-diff	0	(*.f64 x x)
cost-diff	0	(*.f64 #s(literal -4 binary64) y)
cost-diff	0	(fma.f64 (.f64 #s(literal -4 binary64) y) y (.f64 x x))
cost-diff	0	(/.f64 (fma.f64 (.f64 #s(literal -4 binary64) y) y (.f64 x x)) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)))
cost-diff	0	(.f64 (.f64 #s(literal 1/2 binary64) x) x)
cost-diff	0	(-.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) (*.f64 y y)) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) (*.f64 y y)) #s(literal 1 binary64)))
cost-diff	2	(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) (*.f64 y y))
cost-diff	0	(*.f64 x (/.f64 x y))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) y)
cost-diff	0	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64)))
cost-diff	2	(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	784
0	87	740
1	188	692
2	572	627
3	2261	593
4	7786	566
0	8705	554

Stop Event

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

Calls

Call 1

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

Outputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64))
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(*.f64 x (/.f64 x y))
(*.f64 (/.f64 x y) x)
x
(/.f64 x y)
#s(literal -1 binary64)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) (*.f64 y y)) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) (*.f64 y y)) #s(literal 1 binary64))
(-.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) (*.f64 y y))
(*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) x) x)
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(*.f64 y y)
y
#s(literal 1 binary64)
(/.f64 (fma.f64 (.f64 #s(literal -4 binary64) y) y (.f64 x x)) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)))
(/.f64 (fma.f64 (.f64 #s(literal -4 binary64) y) y (.f64 x x)) (fma.f64 (.f64 y y) #s(literal 4 binary64) (.f64 x x)))
(fma.f64 (.f64 #s(literal -4 binary64) y) y (.f64 x x))
(*.f64 #s(literal -4 binary64) y)
#s(literal -4 binary64)
y
(*.f64 x x)
x
(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
(fma.f64 (.f64 y y) #s(literal 4 binary64) (.f64 x x))
(*.f64 #s(literal 4 binary64) y)
#s(literal 4 binary64)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)))
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 x y) #s(literal 4 binary64))
(/.f64 x y)
x
y
#s(literal 4 binary64)
#s(literal 1/4 binary64)
#s(literal -1 binary64)
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))
(pow.f64 (/.f64 x y) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (/.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (fma.f64 #s(literal 1/16 binary64) (pow.f64 (/.f64 x y) #s(literal 8 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))))
(/.f64 (/.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (fma.f64 #s(literal 1/16 binary64) (pow.f64 (/.f64 x y) #s(literal 8 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)))))
(-.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)))
(/.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)))
(pow.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) #s(literal 3 binary64))
(/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (/.f64 x y) #s(literal 4 binary64)))
(*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)))
(pow.f64 (/.f64 x y) #s(literal 4 binary64))
(/.f64 x y)
x
y
#s(literal 4 binary64)
#s(literal 1/4 binary64)
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))
(pow.f64 (/.f64 x y) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
(pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))
(pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))
#s(literal -1 binary64)
(fma.f64 (/.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (/.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (fma.f64 #s(literal 1/16 binary64) (pow.f64 (/.f64 x y) #s(literal 8 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))))
(fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (/.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)))
(.f64 (/.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 x y) #s(literal 4 binary64)))

localize147.0ms (1.8%)

Memory

-39.4MiB live, 244.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	17.222846072506947	(.f64 (/.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))
accuracy	17.916673905244277	(/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
accuracy	19.323767051221832	(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))))
accuracy	27.016377010813212	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))))))
accuracy	0.2109375	(pow.f64 (/.f64 x y) #s(literal 2 binary64))
accuracy	0.24978266606351426	(pow.f64 (/.f64 x y) #s(literal 4 binary64))
accuracy	17.918295145475835	(/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
accuracy	27.016377010813212	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))
accuracy	0.0	(*.f64 #s(literal 4 binary64) y)
accuracy	0.0	(*.f64 #s(literal -4 binary64) y)
accuracy	2.499972476055602	(fma.f64 (.f64 #s(literal -4 binary64) y) y (.f64 x x))
accuracy	31.921641828741787	(/.f64 (fma.f64 (.f64 #s(literal -4 binary64) y) y (.f64 x x)) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)))
accuracy	0.0	(*.f64 y y)
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	13.358003696724863	(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) (*.f64 y y))
accuracy	27.016377010813212	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) (*.f64 y y)) #s(literal 1 binary64)))
accuracy	0.0	(/.f64 #s(literal 1/2 binary64) y)
accuracy	0.12109375	(*.f64 x (/.f64 x y))
accuracy	1.4376869565120942	(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64))
accuracy	27.016377010813212	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64)))

Samples

104.0ms

256×

valid

Compiler

Compiled 672 to 53 computations (92.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 81.0ms

ival-mult: 28.0ms (34.5% of total)

ival-sub: 16.0ms (19.7% of total)

ival-pow: 13.0ms (16% of total)

ival-div: 12.0ms (14.8% of total)

ival-add: 8.0ms (9.9% of total)

ival-pow2: 3.0ms (3.7% of total)

exact: 1.0ms (1.2% of total)

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

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

series92.0ms (1.1%)

Memory

25.1MiB live, 62.8MiB allocated

Counts

27 → 91

Calls

Call 1

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

Outputs
-1
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1)
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1)
(/ (pow x 2) y)
(* 1/2 (/ (pow x 2) (pow y 2)))
(* 1/2 (pow x 2))
(* -4 (pow y 2))
(+ (* -4 (pow y 2)) (pow x 2))
(pow x 2)
(- (* 1/4 (/ (pow x 4) (pow y 4))) 1)
(/ (pow x 4) (pow y 4))
1
(+ 1 (* -1 (/ (pow x 2) (pow y 2))))
(+ 1 (* (pow x 2) (- (/ (pow x 2) (pow y 4)) (/ 1 (pow y 2)))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -3/4 (/ (pow x 2) (pow y 6))) (/ 1 (pow y 4)))) (/ 1 (pow y 2)))))
(- (* 3/2 (/ (pow x 2) (pow y 2))) 1)
(- (* (pow x 2) (+ (* -3/2 (/ (pow x 2) (pow y 4))) (* 3/2 (/ 1 (pow y 2))))) 1)
(- (* (pow x 2) (+ (* (pow x 2) (- (* 5/4 (/ (pow x 2) (pow y 6))) (* 3/2 (/ 1 (pow y 4))))) (* 3/2 (/ 1 (pow y 2))))) 1)
(* 1/4 (/ (pow x 4) (pow y 4)))
(* (pow x 4) (+ (* -1/4 (/ (pow x 2) (pow y 6))) (* 1/4 (/ 1 (pow y 4)))))
(* (pow x 4) (+ (* (pow x 2) (- (* 3/16 (/ (pow x 2) (pow y 8))) (* 1/4 (/ 1 (pow y 6))))) (* 1/4 (/ 1 (pow y 4)))))
(* (pow x 4) (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 10))) (* 3/16 (/ 1 (pow y 8))))) (* 1/4 (/ 1 (pow y 6))))) (* 1/4 (/ 1 (pow y 4)))))
(* 1/2 x)
(/ (pow x 2) (pow y 2))
(* (pow x 4) (+ (* -1/8 (/ (pow x 2) (pow y 6))) (* 1/4 (/ 1 (pow y 4)))))
(* (pow x 4) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow y 8))) (* 1/8 (/ 1 (pow y 6))))) (* 1/4 (/ 1 (pow y 4)))))
(* (pow x 4) (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/32 (/ (pow x 2) (pow y 10))) (* 1/16 (/ 1 (pow y 8))))) (* 1/8 (/ 1 (pow y 6))))) (* 1/4 (/ 1 (pow y 4)))))
(* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(* (pow x 4) (- (* 1/4 (/ 1 (pow y 4))) (/ 1 (pow x 4))))
(+ 1 (* -4 (/ (pow y 2) (pow x 2))))
(+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (+ (* -1/4 (/ (+ (* -64 (pow y 4)) (* 16 (pow y 4))) (pow x 4))) (* 4 (/ (pow y 4) (pow x 4))))))
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (+ (* -1/4 (/ (+ (* -64 (pow y 4)) (* 16 (pow y 4))) (pow x 4))) (+ (* -1/4 (/ (+ (* -64 (pow y 6)) (* -4 (* (pow y 2) (+ (* -64 (pow y 4)) (* 16 (pow y 4)))))) (pow x 6))) (* 4 (/ (pow y 4) (pow x 4))))))) (* 16 (/ (pow y 6) (pow x 6))))
(* (pow x 4) (- (* 1/4 (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2)))))
(* (pow x 4) (- (+ (* 1/4 (/ 1 (pow y 4))) (/ 4 (pow x 4))) (/ 1 (* (pow x 2) (pow y 2)))))
(* (pow x 4) (- (+ (* -4 (/ (pow y 2) (pow x 6))) (+ (* -1/16 (/ (+ (* -64 (pow y 2)) (* 192 (pow y 2))) (pow x 6))) (+ (* 1/4 (/ 1 (pow y 4))) (/ 4 (pow x 4))))) (/ 1 (* (pow x 2) (pow y 2)))))
(* 1/8 (/ (pow x 6) (pow y 6)))
(* (pow x 6) (- (* 1/8 (/ 1 (pow y 6))) (* 3/4 (/ 1 (* (pow x 2) (pow y 4))))))
(* (pow x 6) (- (+ (* 1/8 (/ 1 (pow y 6))) (/ 3 (* (pow x 4) (pow y 2)))) (/ 3/4 (* (pow x 2) (pow y 4)))))
(* (pow x 6) (- (+ (* 3 (/ 1 (* (pow x 4) (pow y 2)))) (* 1/8 (/ 1 (pow y 6)))) (+ (/ 3/4 (* (pow x 2) (pow y 4))) (* 10 (/ 1 (pow x 6))))))
(- (+ 1 (* -1 (/ (+ (* -16 (pow y 4)) (* 4 (pow y 4))) (pow x 4)))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (* -1 (/ (+ (* -16 (pow y 6)) (* -4 (* (pow y 2) (+ (* -16 (pow y 4)) (* 4 (pow y 4)))))) (pow x 6)))) (+ (* -16 (/ (pow y 4) (pow x 4))) (+ (* 4 (/ (pow y 2) (pow x 2))) (* 4 (/ (pow y 4) (pow x 4))))))
(* (pow x 2) (- (+ (* 12 (/ (pow y 2) (pow x 4))) (* 1/2 (/ 1 (pow y 2)))) (+ (* 4 (/ (pow y 2) (pow x 4))) (+ (* 8 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 2))))))
(* (pow x 2) (- (+ (* -40 (/ (pow y 4) (pow x 6))) (+ (* 12 (/ (pow y 2) (pow x 4))) (* 1/2 (/ 1 (pow y 2))))) (+ (* -16 (/ (pow y 4) (pow x 6))) (+ (* -4 (/ (* (pow y 2) (- (* 12 (pow y 2)) (+ (* 4 (pow y 2)) (* 8 (pow y 2))))) (pow x 6))) (+ (* 2 (/ (* (pow y 2) (+ (* -4 (pow y 2)) (* -1/16 (+ (* -64 (pow y 2)) (* 192 (pow y 2)))))) (pow x 6))) (+ (* 4 (/ (pow y 2) (pow x 4))) (+ (* 8 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 2)))))))))
(* (pow x 2) (- (+ (* 2 (/ (pow y 2) (pow x 4))) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (pow x 2))))
(* (pow x 2) (- (+ (* -4 (/ (pow y 4) (pow x 6))) (* 1/2 (/ 1 (pow y 2)))) (+ (* -2 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 2)))))
(/ (+ (* -1 (pow y 2)) (* 1/2 (pow x 2))) (pow y 2))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))
(/ 1/2 y)
(* -4 y)
(/ (+ (* -1 (pow y 4)) (* 1/4 (pow x 4))) (pow y 4))
(+ 1 (* (pow y 2) (- (* 16 (/ (pow y 2) (pow x 4))) (* 4 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -48 (/ (pow y 2) (pow x 6))) (* 16 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 2))))))
(/ (+ (* -1 (* (pow x 2) (pow y 2))) (* 1/4 (pow x 4))) (pow y 4))
(/ (+ (* 1/4 (pow x 4)) (* (pow y 2) (+ (* -1 (pow x 2)) (* 4 (pow y 2))))) (pow y 4))
(/ (+ (* 1/4 (pow x 4)) (* (pow y 2) (+ (* -1 (pow x 2)) (* (pow y 2) (+ 4 (* -12 (/ (pow y 2) (pow x 2)))))))) (pow y 4))
(/ (+ (* -1 (* (pow y 2) (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))))) (* 1/8 (pow x 6))) (pow y 6))
(/ (+ (* 1/8 (pow x 6)) (* (pow y 2) (+ (* -1 (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4)))) (* -1/64 (* (pow y 2) (+ (* -512 (/ (pow (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) 2) (pow x 6))) (* 64 (+ (* 1/2 (pow x 2)) (pow x 2))))))))) (pow y 6))
(/ (+ (* 1/8 (pow x 6)) (* (pow y 2) (+ (* -1 (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4)))) (* (pow y 2) (+ (* -1/64 (* (pow y 2) (+ 64 (+ (* -512 (/ (* (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) (+ (* 1/2 (pow x 2)) (pow x 2))) (pow x 6))) (* -8 (/ (* (+ (* -512 (/ (pow (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) 2) (pow x 6))) (* 64 (+ (* 1/2 (pow x 2)) (pow x 2)))) (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4)))) (pow x 6))))))) (* -1/64 (+ (* -512 (/ (pow (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) 2) (pow x 6))) (* 64 (+ (* 1/2 (pow x 2)) (pow x 2)))))))))) (pow y 6))
(+ 1 (* (pow y 2) (- (* 12 (/ (pow y 2) (pow x 4))) (* 4 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -32 (/ (pow y 2) (pow x 6))) (* 12 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 2))))))
(pow y 2)
(* 4 y)
(/ (+ (* 1/2 (pow x 2)) (* (pow y 2) (+ 2 (* -4 (/ (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) (pow x 4)))))) (pow y 2))
(/ (+ (* 1/2 (pow x 2)) (* (pow y 2) (+ 2 (+ (* -4 (/ (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) (pow x 4))) (* (pow y 2) (- (* -1/16 (/ (+ (* -512 (/ (pow (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) 2) (pow x 6))) (* 64 (+ (* 1/2 (pow x 2)) (pow x 2)))) (pow x 4))) (+ (* -4 (/ (+ 2 (* -4 (/ (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) (pow x 4)))) (pow x 2))) (* 8 (/ 1 (pow x 2)))))))))) (pow y 2))
(/ (+ (* 1/2 (pow x 2)) (* (pow y 2) (+ 2 (+ (* -4 (/ (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) (pow x 4))) (* (pow y 2) (- (+ (* -1/16 (/ (+ (* -512 (/ (pow (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) 2) (pow x 6))) (* 64 (+ (* 1/2 (pow x 2)) (pow x 2)))) (pow x 4))) (* (pow y 2) (- (+ (* -1/16 (/ (+ 64 (+ (* -512 (/ (* (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) (+ (* 1/2 (pow x 2)) (pow x 2))) (pow x 6))) (* -8 (/ (* (+ (* -512 (/ (pow (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) 2) (pow x 6))) (* 64 (+ (* 1/2 (pow x 2)) (pow x 2)))) (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4)))) (pow x 6))))) (pow x 4))) (* 24 (/ 1 (pow x 4)))) (+ (* -4 (/ (- (* -1/16 (/ (+ (* -512 (/ (pow (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) 2) (pow x 6))) (* 64 (+ (* 1/2 (pow x 2)) (pow x 2)))) (pow x 4))) (+ (* -4 (/ (+ 2 (* -4 (/ (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) (pow x 4)))) (pow x 2))) (* 8 (/ 1 (pow x 2))))) (pow x 2))) (* 16 (/ (+ 2 (* -4 (/ (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) (pow x 4)))) (pow x 4))))))) (+ (* -4 (/ (+ 2 (* -4 (/ (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) (pow x 4)))) (pow x 2))) (* 8 (/ 1 (pow x 2)))))))))) (pow y 2))
(/ (+ (* 1/2 (pow x 2)) (* (pow y 2) (- (* 2 (/ (pow y 2) (pow x 2))) 1))) (pow y 2))
(/ (+ (* 1/2 (pow x 2)) (* (pow y 2) (- (* (pow y 2) (+ (* -4 (/ (pow y 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))) 1))) (pow y 2))
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(- (+ 1 (/ (pow x 4) (pow y 4))) (/ (pow x 2) (pow y 2)))
(- (+ 1 (/ (* (pow x 2) (+ (* -1 (pow x 4)) (* 1/4 (pow x 4)))) (pow y 6))) (+ (* -1 (/ (pow x 4) (pow y 4))) (/ (pow x 2) (pow y 2))))
(- (+ (* 1/2 (/ (pow x 2) (pow y 2))) (/ (pow x 2) (pow y 2))) 1)
(- (+ (* -1 (/ (pow (+ (* 1/2 (pow x 2)) (pow x 2)) 2) (pow y 4))) (+ (* 1/4 (/ (pow x 4) (pow y 4))) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/2 (/ (pow x 4) (pow y 4))) (/ (pow x 2) (pow y 2)))))) 1)
(- (+ (* -1 (/ (* (+ (* -1 (pow (+ (* 1/2 (pow x 2)) (pow x 2)) 2)) (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4)))) (+ (* 1/2 (pow x 2)) (pow x 2))) (pow y 6))) (+ (* -1 (/ (* (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) (+ (* 1/2 (pow x 2)) (pow x 2))) (pow y 6))) (+ (* -1 (/ (pow (+ (* 1/2 (pow x 2)) (pow x 2)) 2) (pow y 4))) (+ (* 1/8 (/ (pow x 6) (pow y 6))) (+ (* 1/4 (/ (pow x 4) (pow y 4))) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/2 (/ (pow x 4) (pow y 4))) (/ (pow x 2) (pow y 2))))))))) 1)
(/ (+ (* -1/4 (/ (pow x 6) (pow y 2))) (* 1/4 (pow x 4))) (pow y 4))
(/ (+ (* -1/4 (/ (+ (* -1 (pow x 8)) (* 1/4 (pow x 8))) (pow y 4))) (+ (* -1/4 (/ (pow x 6) (pow y 2))) (* 1/4 (pow x 4)))) (pow y 4))
(/ (+ (* -1/4 (/ (+ (* -1 (* (pow x 2) (+ (* -1 (pow x 8)) (* 1/4 (pow x 8))))) (* -1/4 (pow x 10))) (pow y 6))) (+ (* -1/4 (/ (+ (* -1 (pow x 8)) (* 1/4 (pow x 8))) (pow y 4))) (+ (* -1/4 (/ (pow x 6) (pow y 2))) (* 1/4 (pow x 4))))) (pow y 4))
(- (+ (* -1 (/ (pow (+ (* 1/2 (pow x 2)) (pow x 2)) 2) (pow y 4))) (+ (* 1/4 (/ (pow x 4) (pow y 4))) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (* 1/2 (/ (pow x 4) (pow y 4)))))) (+ 1 (+ (* -1 (/ (pow x 4) (pow y 4))) (* -1/2 (/ (pow x 4) (pow y 4))))))
(- (+ (* -1 (/ (* (+ (* -1 (pow (+ (* 1/2 (pow x 2)) (pow x 2)) 2)) (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4)))) (+ (* 1/2 (pow x 2)) (pow x 2))) (pow y 6))) (+ (* -1 (/ (* (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) (+ (* 1/2 (pow x 2)) (pow x 2))) (pow y 6))) (+ (* -1 (/ (pow (+ (* 1/2 (pow x 2)) (pow x 2)) 2) (pow y 4))) (+ (* 1/8 (/ (pow x 6) (pow y 6))) (+ (* 1/4 (/ (pow x 4) (pow y 4))) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (* 1/2 (/ (pow x 4) (pow y 4))))))))) (+ 1 (+ (* -1 (/ (* (pow x 2) (+ (* -1 (pow x 4)) (* 1/4 (pow x 4)))) (pow y 6))) (+ (* -1 (/ (* (pow x 2) (- (+ (* -1 (pow (+ (* 1/2 (pow x 2)) (pow x 2)) 2)) (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4)))) (+ (* -1 (pow x 4)) (* -1/2 (pow x 4))))) (pow y 6))) (+ (* -1 (/ (pow x 4) (pow y 4))) (+ (* -1/2 (/ (pow x 4) (pow y 4))) (* 1/2 (/ (pow x 6) (pow y 6)))))))))
(/ (+ (* -1/8 (/ (pow x 6) (pow y 2))) (* 1/4 (pow x 4))) (pow y 4))
(/ (+ (* -1/8 (/ (pow x 6) (pow y 2))) (+ (* 1/16 (/ (pow x 8) (pow y 4))) (* 1/4 (pow x 4)))) (pow y 4))
(/ (+ (* -1/8 (/ (pow x 6) (pow y 2))) (+ (* -1/32 (/ (pow x 10) (pow y 6))) (+ (* 1/16 (/ (pow x 8) (pow y 4))) (* 1/4 (pow x 4))))) (pow y 4))

Calls

6 calls:

Time	Variable		Point	Expression
50.0ms	y	@	0	((+ (* (/ 1/2 y) (* x (/ x y))) -1) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ 1/2 y) (* x (/ x y)) (/ (* (* 1/2 x) x) (* y y)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (/ (* (* 1/2 x) x) (* y y)) 1) (* (* 1/2 x) x) (/ (+ (* (* -4 y) y) (* x x)) (+ (* (* 4 y) y) (* x x))) (+ (* (* -4 y) y) (* x x)) (* -4 y) (* x x) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (+ (* (pow (/ x y) 4) 1/4) -1) (+ (* (pow (/ x y) 2) 1/2) 1)) (+ (* (pow (/ x y) 4) 1/4) -1) (pow (/ x y) 4) (+ (* (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1)) (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1))) (+ (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1))) (+ (* (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1)) (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1)))) (- (pow (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) 3) (pow (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1) 3)) (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1)) (* 1/2 x) (* y y) (* 4 y) (pow (/ x y) 2) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (pow (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) 3) (pow (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1) 3)) (+ (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1))) (+ (* (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1)) (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1))))) (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)))
12.0ms	x	@	0	((+ (* (/ 1/2 y) (* x (/ x y))) -1) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ 1/2 y) (* x (/ x y)) (/ (* (* 1/2 x) x) (* y y)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (/ (* (* 1/2 x) x) (* y y)) 1) (* (* 1/2 x) x) (/ (+ (* (* -4 y) y) (* x x)) (+ (* (* 4 y) y) (* x x))) (+ (* (* -4 y) y) (* x x)) (* -4 y) (* x x) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (+ (* (pow (/ x y) 4) 1/4) -1) (+ (* (pow (/ x y) 2) 1/2) 1)) (+ (* (pow (/ x y) 4) 1/4) -1) (pow (/ x y) 4) (+ (* (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1)) (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1))) (+ (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1))) (+ (* (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1)) (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1)))) (- (pow (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) 3) (pow (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1) 3)) (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1)) (* 1/2 x) (* y y) (* 4 y) (pow (/ x y) 2) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (pow (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) 3) (pow (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1) 3)) (+ (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1))) (+ (* (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1)) (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1))))) (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)))
9.0ms	x	@	inf	((+ (* (/ 1/2 y) (* x (/ x y))) -1) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ 1/2 y) (* x (/ x y)) (/ (* (* 1/2 x) x) (* y y)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (/ (* (* 1/2 x) x) (* y y)) 1) (* (* 1/2 x) x) (/ (+ (* (* -4 y) y) (* x x)) (+ (* (* 4 y) y) (* x x))) (+ (* (* -4 y) y) (* x x)) (* -4 y) (* x x) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (+ (* (pow (/ x y) 4) 1/4) -1) (+ (* (pow (/ x y) 2) 1/2) 1)) (+ (* (pow (/ x y) 4) 1/4) -1) (pow (/ x y) 4) (+ (* (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1)) (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1))) (+ (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1))) (+ (* (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1)) (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1)))) (- (pow (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) 3) (pow (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1) 3)) (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1)) (* 1/2 x) (* y y) (* 4 y) (pow (/ x y) 2) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (pow (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) 3) (pow (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1) 3)) (+ (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1))) (+ (* (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1)) (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1))))) (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)))
7.0ms	y	@	inf	((+ (* (/ 1/2 y) (* x (/ x y))) -1) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ 1/2 y) (* x (/ x y)) (/ (* (* 1/2 x) x) (* y y)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (/ (* (* 1/2 x) x) (* y y)) 1) (* (* 1/2 x) x) (/ (+ (* (* -4 y) y) (* x x)) (+ (* (* 4 y) y) (* x x))) (+ (* (* -4 y) y) (* x x)) (* -4 y) (* x x) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (+ (* (pow (/ x y) 4) 1/4) -1) (+ (* (pow (/ x y) 2) 1/2) 1)) (+ (* (pow (/ x y) 4) 1/4) -1) (pow (/ x y) 4) (+ (* (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1)) (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1))) (+ (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1))) (+ (* (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1)) (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1)))) (- (pow (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) 3) (pow (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1) 3)) (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1)) (* 1/2 x) (* y y) (* 4 y) (pow (/ x y) 2) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (pow (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) 3) (pow (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1) 3)) (+ (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1))) (+ (* (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1)) (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1))))) (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)))
5.0ms	x	@	-inf	((+ (* (/ 1/2 y) (* x (/ x y))) -1) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ 1/2 y) (* x (/ x y)) (/ (* (* 1/2 x) x) (* y y)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (/ (* (* 1/2 x) x) (* y y)) 1) (* (* 1/2 x) x) (/ (+ (* (* -4 y) y) (* x x)) (+ (* (* 4 y) y) (* x x))) (+ (* (* -4 y) y) (* x x)) (* -4 y) (* x x) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (+ (* (pow (/ x y) 4) 1/4) -1) (+ (* (pow (/ x y) 2) 1/2) 1)) (+ (* (pow (/ x y) 4) 1/4) -1) (pow (/ x y) 4) (+ (* (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1)) (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1))) (+ (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1))) (+ (* (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1)) (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1)))) (- (pow (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) 3) (pow (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1) 3)) (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1)) (* 1/2 x) (* y y) (* 4 y) (pow (/ x y) 2) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (pow (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) 3) (pow (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1) 3)) (+ (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1))) (+ (* (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1)) (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1))))) (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)))

simplify237.0ms (2.9%)

Memory

11.4MiB live, 157.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	554	2775
1	1866	2559
2	7833	2534
0	8003	2400

Stop Event

1×	iter limit
1×	node limit

Counts

91 → 91

Calls

Call 1

Inputs
-1
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1)
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1)
(/ (pow x 2) y)
(* 1/2 (/ (pow x 2) (pow y 2)))
(* 1/2 (pow x 2))
(* -4 (pow y 2))
(+ (* -4 (pow y 2)) (pow x 2))
(pow x 2)
(- (* 1/4 (/ (pow x 4) (pow y 4))) 1)
(/ (pow x 4) (pow y 4))
1
(+ 1 (* -1 (/ (pow x 2) (pow y 2))))
(+ 1 (* (pow x 2) (- (/ (pow x 2) (pow y 4)) (/ 1 (pow y 2)))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -3/4 (/ (pow x 2) (pow y 6))) (/ 1 (pow y 4)))) (/ 1 (pow y 2)))))
(- (* 3/2 (/ (pow x 2) (pow y 2))) 1)
(- (* (pow x 2) (+ (* -3/2 (/ (pow x 2) (pow y 4))) (* 3/2 (/ 1 (pow y 2))))) 1)
(- (* (pow x 2) (+ (* (pow x 2) (- (* 5/4 (/ (pow x 2) (pow y 6))) (* 3/2 (/ 1 (pow y 4))))) (* 3/2 (/ 1 (pow y 2))))) 1)
(* 1/4 (/ (pow x 4) (pow y 4)))
(* (pow x 4) (+ (* -1/4 (/ (pow x 2) (pow y 6))) (* 1/4 (/ 1 (pow y 4)))))
(* (pow x 4) (+ (* (pow x 2) (- (* 3/16 (/ (pow x 2) (pow y 8))) (* 1/4 (/ 1 (pow y 6))))) (* 1/4 (/ 1 (pow y 4)))))
(* (pow x 4) (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 10))) (* 3/16 (/ 1 (pow y 8))))) (* 1/4 (/ 1 (pow y 6))))) (* 1/4 (/ 1 (pow y 4)))))
(* 1/2 x)
(/ (pow x 2) (pow y 2))
(* (pow x 4) (+ (* -1/8 (/ (pow x 2) (pow y 6))) (* 1/4 (/ 1 (pow y 4)))))
(* (pow x 4) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow y 8))) (* 1/8 (/ 1 (pow y 6))))) (* 1/4 (/ 1 (pow y 4)))))
(* (pow x 4) (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/32 (/ (pow x 2) (pow y 10))) (* 1/16 (/ 1 (pow y 8))))) (* 1/8 (/ 1 (pow y 6))))) (* 1/4 (/ 1 (pow y 4)))))
(* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(* (pow x 4) (- (* 1/4 (/ 1 (pow y 4))) (/ 1 (pow x 4))))
(+ 1 (* -4 (/ (pow y 2) (pow x 2))))
(+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (+ (* -1/4 (/ (+ (* -64 (pow y 4)) (* 16 (pow y 4))) (pow x 4))) (* 4 (/ (pow y 4) (pow x 4))))))
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (+ (* -1/4 (/ (+ (* -64 (pow y 4)) (* 16 (pow y 4))) (pow x 4))) (+ (* -1/4 (/ (+ (* -64 (pow y 6)) (* -4 (* (pow y 2) (+ (* -64 (pow y 4)) (* 16 (pow y 4)))))) (pow x 6))) (* 4 (/ (pow y 4) (pow x 4))))))) (* 16 (/ (pow y 6) (pow x 6))))
(* (pow x 4) (- (* 1/4 (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2)))))
(* (pow x 4) (- (+ (* 1/4 (/ 1 (pow y 4))) (/ 4 (pow x 4))) (/ 1 (* (pow x 2) (pow y 2)))))
(* (pow x 4) (- (+ (* -4 (/ (pow y 2) (pow x 6))) (+ (* -1/16 (/ (+ (* -64 (pow y 2)) (* 192 (pow y 2))) (pow x 6))) (+ (* 1/4 (/ 1 (pow y 4))) (/ 4 (pow x 4))))) (/ 1 (* (pow x 2) (pow y 2)))))
(* 1/8 (/ (pow x 6) (pow y 6)))
(* (pow x 6) (- (* 1/8 (/ 1 (pow y 6))) (* 3/4 (/ 1 (* (pow x 2) (pow y 4))))))
(* (pow x 6) (- (+ (* 1/8 (/ 1 (pow y 6))) (/ 3 (* (pow x 4) (pow y 2)))) (/ 3/4 (* (pow x 2) (pow y 4)))))
(* (pow x 6) (- (+ (* 3 (/ 1 (* (pow x 4) (pow y 2)))) (* 1/8 (/ 1 (pow y 6)))) (+ (/ 3/4 (* (pow x 2) (pow y 4))) (* 10 (/ 1 (pow x 6))))))
(- (+ 1 (* -1 (/ (+ (* -16 (pow y 4)) (* 4 (pow y 4))) (pow x 4)))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (* -1 (/ (+ (* -16 (pow y 6)) (* -4 (* (pow y 2) (+ (* -16 (pow y 4)) (* 4 (pow y 4)))))) (pow x 6)))) (+ (* -16 (/ (pow y 4) (pow x 4))) (+ (* 4 (/ (pow y 2) (pow x 2))) (* 4 (/ (pow y 4) (pow x 4))))))
(* (pow x 2) (- (+ (* 12 (/ (pow y 2) (pow x 4))) (* 1/2 (/ 1 (pow y 2)))) (+ (* 4 (/ (pow y 2) (pow x 4))) (+ (* 8 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 2))))))
(* (pow x 2) (- (+ (* -40 (/ (pow y 4) (pow x 6))) (+ (* 12 (/ (pow y 2) (pow x 4))) (* 1/2 (/ 1 (pow y 2))))) (+ (* -16 (/ (pow y 4) (pow x 6))) (+ (* -4 (/ (* (pow y 2) (- (* 12 (pow y 2)) (+ (* 4 (pow y 2)) (* 8 (pow y 2))))) (pow x 6))) (+ (* 2 (/ (* (pow y 2) (+ (* -4 (pow y 2)) (* -1/16 (+ (* -64 (pow y 2)) (* 192 (pow y 2)))))) (pow x 6))) (+ (* 4 (/ (pow y 2) (pow x 4))) (+ (* 8 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 2)))))))))
(* (pow x 2) (- (+ (* 2 (/ (pow y 2) (pow x 4))) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (pow x 2))))
(* (pow x 2) (- (+ (* -4 (/ (pow y 4) (pow x 6))) (* 1/2 (/ 1 (pow y 2)))) (+ (* -2 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 2)))))
(/ (+ (* -1 (pow y 2)) (* 1/2 (pow x 2))) (pow y 2))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))
(/ 1/2 y)
(* -4 y)
(/ (+ (* -1 (pow y 4)) (* 1/4 (pow x 4))) (pow y 4))
(+ 1 (* (pow y 2) (- (* 16 (/ (pow y 2) (pow x 4))) (* 4 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -48 (/ (pow y 2) (pow x 6))) (* 16 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 2))))))
(/ (+ (* -1 (* (pow x 2) (pow y 2))) (* 1/4 (pow x 4))) (pow y 4))
(/ (+ (* 1/4 (pow x 4)) (* (pow y 2) (+ (* -1 (pow x 2)) (* 4 (pow y 2))))) (pow y 4))
(/ (+ (* 1/4 (pow x 4)) (* (pow y 2) (+ (* -1 (pow x 2)) (* (pow y 2) (+ 4 (* -12 (/ (pow y 2) (pow x 2)))))))) (pow y 4))
(/ (+ (* -1 (* (pow y 2) (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))))) (* 1/8 (pow x 6))) (pow y 6))
(/ (+ (* 1/8 (pow x 6)) (* (pow y 2) (+ (* -1 (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4)))) (* -1/64 (* (pow y 2) (+ (* -512 (/ (pow (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) 2) (pow x 6))) (* 64 (+ (* 1/2 (pow x 2)) (pow x 2))))))))) (pow y 6))
(/ (+ (* 1/8 (pow x 6)) (* (pow y 2) (+ (* -1 (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4)))) (* (pow y 2) (+ (* -1/64 (* (pow y 2) (+ 64 (+ (* -512 (/ (* (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) (+ (* 1/2 (pow x 2)) (pow x 2))) (pow x 6))) (* -8 (/ (* (+ (* -512 (/ (pow (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) 2) (pow x 6))) (* 64 (+ (* 1/2 (pow x 2)) (pow x 2)))) (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4)))) (pow x 6))))))) (* -1/64 (+ (* -512 (/ (pow (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) 2) (pow x 6))) (* 64 (+ (* 1/2 (pow x 2)) (pow x 2)))))))))) (pow y 6))
(+ 1 (* (pow y 2) (- (* 12 (/ (pow y 2) (pow x 4))) (* 4 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -32 (/ (pow y 2) (pow x 6))) (* 12 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 2))))))
(pow y 2)
(* 4 y)
(/ (+ (* 1/2 (pow x 2)) (* (pow y 2) (+ 2 (* -4 (/ (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) (pow x 4)))))) (pow y 2))
(/ (+ (* 1/2 (pow x 2)) (* (pow y 2) (+ 2 (+ (* -4 (/ (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) (pow x 4))) (* (pow y 2) (- (* -1/16 (/ (+ (* -512 (/ (pow (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) 2) (pow x 6))) (* 64 (+ (* 1/2 (pow x 2)) (pow x 2)))) (pow x 4))) (+ (* -4 (/ (+ 2 (* -4 (/ (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) (pow x 4)))) (pow x 2))) (* 8 (/ 1 (pow x 2)))))))))) (pow y 2))
(/ (+ (* 1/2 (pow x 2)) (* (pow y 2) (+ 2 (+ (* -4 (/ (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) (pow x 4))) (* (pow y 2) (- (+ (* -1/16 (/ (+ (* -512 (/ (pow (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) 2) (pow x 6))) (* 64 (+ (* 1/2 (pow x 2)) (pow x 2)))) (pow x 4))) (* (pow y 2) (- (+ (* -1/16 (/ (+ 64 (+ (* -512 (/ (* (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) (+ (* 1/2 (pow x 2)) (pow x 2))) (pow x 6))) (* -8 (/ (* (+ (* -512 (/ (pow (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) 2) (pow x 6))) (* 64 (+ (* 1/2 (pow x 2)) (pow x 2)))) (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4)))) (pow x 6))))) (pow x 4))) (* 24 (/ 1 (pow x 4)))) (+ (* -4 (/ (- (* -1/16 (/ (+ (* -512 (/ (pow (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) 2) (pow x 6))) (* 64 (+ (* 1/2 (pow x 2)) (pow x 2)))) (pow x 4))) (+ (* -4 (/ (+ 2 (* -4 (/ (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) (pow x 4)))) (pow x 2))) (* 8 (/ 1 (pow x 2))))) (pow x 2))) (* 16 (/ (+ 2 (* -4 (/ (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) (pow x 4)))) (pow x 4))))))) (+ (* -4 (/ (+ 2 (* -4 (/ (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) (pow x 4)))) (pow x 2))) (* 8 (/ 1 (pow x 2)))))))))) (pow y 2))
(/ (+ (* 1/2 (pow x 2)) (* (pow y 2) (- (* 2 (/ (pow y 2) (pow x 2))) 1))) (pow y 2))
(/ (+ (* 1/2 (pow x 2)) (* (pow y 2) (- (* (pow y 2) (+ (* -4 (/ (pow y 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))) 1))) (pow y 2))
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(- (+ 1 (/ (pow x 4) (pow y 4))) (/ (pow x 2) (pow y 2)))
(- (+ 1 (/ (* (pow x 2) (+ (* -1 (pow x 4)) (* 1/4 (pow x 4)))) (pow y 6))) (+ (* -1 (/ (pow x 4) (pow y 4))) (/ (pow x 2) (pow y 2))))
(- (+ (* 1/2 (/ (pow x 2) (pow y 2))) (/ (pow x 2) (pow y 2))) 1)
(- (+ (* -1 (/ (pow (+ (* 1/2 (pow x 2)) (pow x 2)) 2) (pow y 4))) (+ (* 1/4 (/ (pow x 4) (pow y 4))) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/2 (/ (pow x 4) (pow y 4))) (/ (pow x 2) (pow y 2)))))) 1)
(- (+ (* -1 (/ (* (+ (* -1 (pow (+ (* 1/2 (pow x 2)) (pow x 2)) 2)) (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4)))) (+ (* 1/2 (pow x 2)) (pow x 2))) (pow y 6))) (+ (* -1 (/ (* (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) (+ (* 1/2 (pow x 2)) (pow x 2))) (pow y 6))) (+ (* -1 (/ (pow (+ (* 1/2 (pow x 2)) (pow x 2)) 2) (pow y 4))) (+ (* 1/8 (/ (pow x 6) (pow y 6))) (+ (* 1/4 (/ (pow x 4) (pow y 4))) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/2 (/ (pow x 4) (pow y 4))) (/ (pow x 2) (pow y 2))))))))) 1)
(/ (+ (* -1/4 (/ (pow x 6) (pow y 2))) (* 1/4 (pow x 4))) (pow y 4))
(/ (+ (* -1/4 (/ (+ (* -1 (pow x 8)) (* 1/4 (pow x 8))) (pow y 4))) (+ (* -1/4 (/ (pow x 6) (pow y 2))) (* 1/4 (pow x 4)))) (pow y 4))
(/ (+ (* -1/4 (/ (+ (* -1 (* (pow x 2) (+ (* -1 (pow x 8)) (* 1/4 (pow x 8))))) (* -1/4 (pow x 10))) (pow y 6))) (+ (* -1/4 (/ (+ (* -1 (pow x 8)) (* 1/4 (pow x 8))) (pow y 4))) (+ (* -1/4 (/ (pow x 6) (pow y 2))) (* 1/4 (pow x 4))))) (pow y 4))
(- (+ (* -1 (/ (pow (+ (* 1/2 (pow x 2)) (pow x 2)) 2) (pow y 4))) (+ (* 1/4 (/ (pow x 4) (pow y 4))) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (* 1/2 (/ (pow x 4) (pow y 4)))))) (+ 1 (+ (* -1 (/ (pow x 4) (pow y 4))) (* -1/2 (/ (pow x 4) (pow y 4))))))
(- (+ (* -1 (/ (* (+ (* -1 (pow (+ (* 1/2 (pow x 2)) (pow x 2)) 2)) (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4)))) (+ (* 1/2 (pow x 2)) (pow x 2))) (pow y 6))) (+ (* -1 (/ (* (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) (+ (* 1/2 (pow x 2)) (pow x 2))) (pow y 6))) (+ (* -1 (/ (pow (+ (* 1/2 (pow x 2)) (pow x 2)) 2) (pow y 4))) (+ (* 1/8 (/ (pow x 6) (pow y 6))) (+ (* 1/4 (/ (pow x 4) (pow y 4))) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (* 1/2 (/ (pow x 4) (pow y 4))))))))) (+ 1 (+ (* -1 (/ (* (pow x 2) (+ (* -1 (pow x 4)) (* 1/4 (pow x 4)))) (pow y 6))) (+ (* -1 (/ (* (pow x 2) (- (+ (* -1 (pow (+ (* 1/2 (pow x 2)) (pow x 2)) 2)) (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4)))) (+ (* -1 (pow x 4)) (* -1/2 (pow x 4))))) (pow y 6))) (+ (* -1 (/ (pow x 4) (pow y 4))) (+ (* -1/2 (/ (pow x 4) (pow y 4))) (* 1/2 (/ (pow x 6) (pow y 6)))))))))
(/ (+ (* -1/8 (/ (pow x 6) (pow y 2))) (* 1/4 (pow x 4))) (pow y 4))
(/ (+ (* -1/8 (/ (pow x 6) (pow y 2))) (+ (* 1/16 (/ (pow x 8) (pow y 4))) (* 1/4 (pow x 4)))) (pow y 4))
(/ (+ (* -1/8 (/ (pow x 6) (pow y 2))) (+ (* -1/32 (/ (pow x 10) (pow y 6))) (+ (* 1/16 (/ (pow x 8) (pow y 4))) (* 1/4 (pow x 4))))) (pow y 4))

Outputs
-1
#s(literal -1 binary64)
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(-.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) x) x) #s(literal 1 binary64))
(- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1)
(-.f64 (.f64 (fma.f64 (.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 y y))) (.f64 x x)) #s(literal 1 binary64))
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1)
(-.f64 (.f64 (fma.f64 (fma.f64 (.f64 x (/.f64 x (pow.f64 y #s(literal 6 binary64)))) #s(literal 1/32 binary64) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64)))) (.f64 x x) (/.f64 #s(literal 1/2 binary64) (.f64 y y))) (*.f64 x x)) #s(literal 1 binary64))
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(* 1/2 (/ (pow x 2) (pow y 2)))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) x) x)
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* -4 (pow y 2))
(.f64 #s(literal -4 binary64) (.f64 y y))
(+ (* -4 (pow y 2)) (pow x 2))
(fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x))
(pow x 2)
(*.f64 x x)
(- (* 1/4 (/ (pow x 4) (pow y 4))) 1)
(-.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
(/ (pow x 4) (pow y 4))
(/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (pow x 2) (pow y 2))))
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) (/.f64 x y)))
(+ 1 (* (pow x 2) (- (/ (pow x 2) (pow y 4)) (/ 1 (pow y 2)))))
(fma.f64 (-.f64 (.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 y y))) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -3/4 (/ (pow x 2) (pow y 6))) (/ 1 (pow y 4)))) (/ 1 (pow y 2)))))
(fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -3/4 binary64) (.f64 x (/.f64 x (pow.f64 y #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 y y))) (*.f64 x x) #s(literal 1 binary64))
(- (* 3/2 (/ (pow x 2) (pow y 2))) 1)
(-.f64 (.f64 (.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 y y)) x) x) #s(literal 1 binary64))
(- (* (pow x 2) (+ (* -3/2 (/ (pow x 2) (pow y 4))) (* 3/2 (/ 1 (pow y 2))))) 1)
(-.f64 (.f64 (fma.f64 #s(literal -3/2 binary64) (.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 3/2 binary64) (.f64 y y))) (.f64 x x)) #s(literal 1 binary64))
(- (* (pow x 2) (+ (* (pow x 2) (- (* 5/4 (/ (pow x 2) (pow y 6))) (* 3/2 (/ 1 (pow y 4))))) (* 3/2 (/ 1 (pow y 2))))) 1)
(-.f64 (.f64 (fma.f64 (fma.f64 #s(literal 5/4 binary64) (.f64 x (/.f64 x (pow.f64 y #s(literal 6 binary64)))) (/.f64 #s(literal -3/2 binary64) (pow.f64 y #s(literal 4 binary64)))) (.f64 x x) (/.f64 #s(literal 3/2 binary64) (.f64 y y))) (*.f64 x x)) #s(literal 1 binary64))
(* 1/4 (/ (pow x 4) (pow y 4)))
(*.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ (* -1/4 (/ (pow x 2) (pow y 6))) (* 1/4 (/ 1 (pow y 4)))))
(.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x (/.f64 x (pow.f64 y #s(literal 6 binary64)))) (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ (* (pow x 2) (- (* 3/16 (/ (pow x 2) (pow y 8))) (* 1/4 (/ 1 (pow y 6))))) (* 1/4 (/ 1 (pow y 4)))))
(.f64 (fma.f64 (fma.f64 (.f64 (/.f64 #s(literal 3/16 binary64) (pow.f64 y #s(literal 8 binary64))) x) x (/.f64 #s(literal -1/4 binary64) (pow.f64 y #s(literal 6 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 10))) (* 3/16 (/ 1 (pow y 8))))) (* 1/4 (/ 1 (pow y 6))))) (* 1/4 (/ 1 (pow y 4)))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x (/.f64 x (pow.f64 y #s(literal 10 binary64)))) #s(literal -1/8 binary64) (/.f64 #s(literal 3/16 binary64) (pow.f64 y #s(literal 8 binary64)))) (.f64 x x) (/.f64 #s(literal -1/4 binary64) (pow.f64 y #s(literal 6 binary64)))) (.f64 x x) (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 x y) (/.f64 x y))
(* (pow x 4) (+ (* -1/8 (/ (pow x 2) (pow y 6))) (* 1/4 (/ 1 (pow y 4)))))
(.f64 (fma.f64 (.f64 x (/.f64 x (pow.f64 y #s(literal 6 binary64)))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow y 8))) (* 1/8 (/ 1 (pow y 6))))) (* 1/4 (/ 1 (pow y 4)))))
(.f64 (fma.f64 (fma.f64 (.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 y #s(literal 8 binary64))) x) x (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 6 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/32 (/ (pow x 2) (pow y 10))) (* 1/16 (/ 1 (pow y 8))))) (* 1/8 (/ 1 (pow y 6))))) (* 1/4 (/ 1 (pow y 4)))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/32 binary64) (.f64 x (/.f64 x (pow.f64 y #s(literal 10 binary64)))) (/.f64 #s(literal 1/16 binary64) (pow.f64 y #s(literal 8 binary64)))) (.f64 x x) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 6 binary64)))) (.f64 x x) (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))
(.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x x))
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))
(fma.f64 (/.f64 #s(literal -8 binary64) x) (/.f64 (*.f64 y y) x) #s(literal 1 binary64))
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))
(+.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal -8 binary64) (.f64 y y)) y) y) (pow.f64 x #s(literal 4 binary64))) #s(literal -4 binary64) (.f64 (/.f64 #s(literal -8 binary64) x) (/.f64 (.f64 y y) x))) #s(literal 1 binary64))
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
(-.f64 (fma.f64 (/.f64 #s(literal -4 binary64) x) (/.f64 (.f64 y y) x) (fma.f64 (.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 (.f64 y y) (/.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal 1 binary64))) (.f64 (fma.f64 (/.f64 y x) (/.f64 y x) (/.f64 (.f64 (.f64 (.f64 #s(literal -8 binary64) (*.f64 y y)) y) y) (pow.f64 x #s(literal 4 binary64)))) #s(literal 4 binary64)))
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(.f64 (fma.f64 (/.f64 #s(literal -4 binary64) x) (/.f64 (.f64 y y) x) #s(literal 1 binary64)) (*.f64 x x))
(* (pow x 4) (- (* 1/4 (/ 1 (pow y 4))) (/ 1 (pow x 4))))
(*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(+ 1 (* -4 (/ (pow y 2) (pow x 2))))
(fma.f64 (/.f64 #s(literal -4 binary64) x) (/.f64 (*.f64 y y) x) #s(literal 1 binary64))
(+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (+ (* -1/4 (/ (+ (* -64 (pow y 4)) (* 16 (pow y 4))) (pow x 4))) (* 4 (/ (pow y 4) (pow x 4))))))
(+.f64 (fma.f64 (/.f64 #s(literal -4 binary64) x) (/.f64 (.f64 y y) x) (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64) (.f64 (*.f64 #s(literal -48 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/4 binary64))) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64))
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (+ (* -1/4 (/ (+ (* -64 (pow y 4)) (* 16 (pow y 4))) (pow x 4))) (+ (* -1/4 (/ (+ (* -64 (pow y 6)) (* -4 (* (pow y 2) (+ (* -64 (pow y 4)) (* 16 (pow y 4)))))) (pow x 6))) (* 4 (/ (pow y 4) (pow x 4))))))) (* 16 (/ (pow y 6) (pow x 6))))
(fma.f64 #s(literal -16 binary64) (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) (.f64 #s(literal -48 binary64) (pow.f64 y #s(literal 4 binary64)))) (.f64 y y) (.f64 #s(literal -64 binary64) (pow.f64 y #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64))) #s(literal -1/4 binary64) (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64) (.f64 (.f64 #s(literal -48 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/4 binary64))) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (/.f64 #s(literal -4 binary64) x) (/.f64 (*.f64 y y) x) #s(literal 1 binary64))))
(* (pow x 4) (- (* 1/4 (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2)))))
(.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) y) y)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (+ (* 1/4 (/ 1 (pow y 4))) (/ 4 (pow x 4))) (/ 1 (* (pow x 2) (pow y 2)))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1/4 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) y) y)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (+ (* -4 (/ (pow y 2) (pow x 6))) (+ (* -1/16 (/ (+ (* -64 (pow y 2)) (* 192 (pow y 2))) (pow x 6))) (+ (* 1/4 (/ 1 (pow y 4))) (/ 4 (pow x 4))))) (/ 1 (* (pow x 2) (pow y 2)))))
(.f64 (-.f64 (+.f64 (+.f64 (/.f64 (fma.f64 #s(literal -8 binary64) (.f64 y y) (.f64 #s(literal -4 binary64) (.f64 y y))) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) y) y)) (pow.f64 x #s(literal 4 binary64)))
(* 1/8 (/ (pow x 6) (pow y 6)))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 6 binary64))))
(* (pow x 6) (- (* 1/8 (/ 1 (pow y 6))) (* 3/4 (/ 1 (* (pow x 2) (pow y 4))))))
(.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (+ (* 1/8 (/ 1 (pow y 6))) (/ 3 (* (pow x 4) (pow y 2)))) (/ 3/4 (* (pow x 2) (pow y 4)))))
(.f64 (-.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 4 binary64))) y) y) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 6 binary64)))) (/.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (+ (* 3 (/ 1 (* (pow x 4) (pow y 2)))) (* 1/8 (/ 1 (pow y 6)))) (+ (/ 3/4 (* (pow x 2) (pow y 4))) (* 10 (/ 1 (pow x 6))))))
(.f64 (-.f64 (-.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 4 binary64))) y) y) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 6 binary64)))) (/.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(- (+ 1 (* -1 (/ (+ (* -16 (pow y 4)) (* 4 (pow y 4))) (pow x 4)))) (* 4 (/ (pow y 2) (pow x 2))))
(fma.f64 (.f64 (/.f64 y x) (/.f64 y x)) #s(literal -4 binary64) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal -12 binary64) (pow.f64 x #s(literal 4 binary64))))))
(- (+ 1 (* -1 (/ (+ (* -16 (pow y 6)) (* -4 (* (pow y 2) (+ (* -16 (pow y 4)) (* 4 (pow y 4)))))) (pow x 6)))) (+ (* -16 (/ (pow y 4) (pow x 4))) (+ (* 4 (/ (pow y 2) (pow x 2))) (* 4 (/ (pow y 4) (pow x 4))))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) (.f64 #s(literal -12 binary64) (pow.f64 y #s(literal 4 binary64)))) (.f64 y y) (.f64 #s(literal -16 binary64) (pow.f64 y #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 (.f64 y y) x) (.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal -12 binary64) (pow.f64 x #s(literal 4 binary64))))))
(* (pow x 2) (- (+ (* 12 (/ (pow y 2) (pow x 4))) (* 1/2 (/ 1 (pow y 2)))) (+ (* 4 (/ (pow y 2) (pow x 4))) (+ (* 8 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 2))))))
(.f64 (fma.f64 (.f64 (/.f64 #s(literal 12 binary64) (pow.f64 x #s(literal 4 binary64))) y) y (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) (fma.f64 (.f64 (/.f64 #s(literal 12 binary64) (pow.f64 x #s(literal 4 binary64))) y) y (/.f64 #s(literal 1 binary64) (.f64 x x))))) (.f64 x x))
(* (pow x 2) (- (+ (* -40 (/ (pow y 4) (pow x 6))) (+ (* 12 (/ (pow y 2) (pow x 4))) (* 1/2 (/ 1 (pow y 2))))) (+ (* -16 (/ (pow y 4) (pow x 6))) (+ (* -4 (/ (* (pow y 2) (- (* 12 (pow y 2)) (+ (* 4 (pow y 2)) (* 8 (pow y 2))))) (pow x 6))) (+ (* 2 (/ (* (pow y 2) (+ (* -4 (pow y 2)) (* -1/16 (+ (* -64 (pow y 2)) (* 192 (pow y 2)))))) (pow x 6))) (+ (* 4 (/ (pow y 2) (pow x 4))) (+ (* 8 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 2)))))))))
(.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal -40 binary64) (fma.f64 (.f64 (/.f64 #s(literal 12 binary64) (pow.f64 x #s(literal 4 binary64))) y) y (/.f64 #s(literal 1/2 binary64) (.f64 y y)))) (+.f64 (/.f64 (+.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 y #s(literal 4 binary64)) #s(literal 0 binary64)) (.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal -8 binary64) (.f64 y y) (.f64 #s(literal -4 binary64) (.f64 y y)))) (.f64 y y))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (.f64 (/.f64 #s(literal 12 binary64) (pow.f64 x #s(literal 4 binary64))) y) y (/.f64 #s(literal 1 binary64) (.f64 x x))))) (.f64 x x))
(* (pow x 2) (- (+ (* 2 (/ (pow y 2) (pow x 4))) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (pow x 2))))
(.f64 (-.f64 (fma.f64 (.f64 y (/.f64 y (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 y y))) (/.f64 #s(literal 1 binary64) (.f64 x x))) (*.f64 x x))
(* (pow x 2) (- (+ (* -4 (/ (pow y 4) (pow x 6))) (* 1/2 (/ 1 (pow y 2)))) (+ (* -2 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 2)))))
(.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal -4 binary64) (-.f64 (fma.f64 (.f64 y (/.f64 y (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 y y))) (/.f64 #s(literal 1 binary64) (.f64 x x)))) (*.f64 x x))
(/ (+ (* -1 (pow y 2)) (* 1/2 (pow x 2))) (pow y 2))
(/.f64 (fma.f64 (neg.f64 y) y (.f64 (.f64 x x) #s(literal 1/2 binary64))) (*.f64 y y))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(fma.f64 (/.f64 #s(literal -8 binary64) x) (/.f64 (*.f64 y y) x) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 (.f64 (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64))) y) y (/.f64 #s(literal -8 binary64) (.f64 x x))) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -128 binary64) (.f64 y (/.f64 y (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 y y) (/.f64 #s(literal -8 binary64) (.f64 x x))) (.f64 y y) #s(literal 1 binary64))
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(* -4 y)
(*.f64 #s(literal -4 binary64) y)
(/ (+ (* -1 (pow y 4)) (* 1/4 (pow x 4))) (pow y 4))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 4 binary64)))
(+ 1 (* (pow y 2) (- (* 16 (/ (pow y 2) (pow x 4))) (* 4 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 (.f64 (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) y) y (/.f64 #s(literal -4 binary64) (.f64 x x))) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -48 (/ (pow y 2) (pow x 6))) (* 16 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -48 binary64) (.f64 y (/.f64 y (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 y y) (/.f64 #s(literal -4 binary64) (.f64 x x))) (.f64 y y) #s(literal 1 binary64))
(/ (+ (* -1 (* (pow x 2) (pow y 2))) (* 1/4 (pow x 4))) (pow y 4))
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(/ (+ (* -1/8 (/ (pow x 6) (pow y 2))) (* 1/4 (pow x 4))) (pow y 4))
(/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (pow.f64 x #s(literal 6 binary64)) y) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))) (pow.f64 y #s(literal 4 binary64)))
(/ (+ (* -1/8 (/ (pow x 6) (pow y 2))) (+ (* 1/16 (/ (pow x 8) (pow y 4))) (* 1/4 (pow x 4)))) (pow y 4))
(/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (pow.f64 x #s(literal 6 binary64)) y) (fma.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)))) (pow.f64 y #s(literal 4 binary64)))
(/ (+ (* -1/8 (/ (pow x 6) (pow y 2))) (+ (* -1/32 (/ (pow x 10) (pow y 6))) (+ (* 1/16 (/ (pow x 8) (pow y 4))) (* 1/4 (pow x 4))))) (pow y 4))
(/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 10 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/32 binary64) (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (pow.f64 x #s(literal 6 binary64)) y) (fma.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))))) (pow.f64 y #s(literal 4 binary64)))

rewrite342.0ms (4.2%)

Memory

-18.7MiB live, 229.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	665
0	87	409
1	372	364
2	3142	362
0	8302	356

Stop Event

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

Counts

27 → 976

Calls

Call 1

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

Outputs
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)))) (-.f64 #s(literal -1 binary64) (.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) #s(literal 1 binary64))) (neg.f64 (-.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) #s(literal 1 binary64)) (-.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(fma.f64 (fabs.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 x y))) x #s(literal -1 binary64))
(fma.f64 (fabs.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 y))) (/.f64 x y) #s(literal -1 binary64))
(fma.f64 (fabs.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 y))) (*.f64 (/.f64 x y) x) #s(literal -1 binary64))
(fma.f64 (fabs.f64 (/.f64 (/.f64 x y) y)) (fabs.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64))
(fma.f64 (fabs.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) y))) (fabs.f64 (.f64 (/.f64 x y) #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (fabs.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y))) (/.f64 x y) #s(literal -1 binary64))
(fma.f64 (fabs.f64 (.f64 x #s(literal 1/2 binary64))) (fabs.f64 (.f64 (/.f64 (/.f64 x y) y) #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (fabs.f64 (*.f64 x #s(literal 1/2 binary64))) (fabs.f64 (/.f64 (/.f64 x y) y)) #s(literal -1 binary64))
(fma.f64 (fabs.f64 (/.f64 #s(literal 1/2 binary64) y)) (*.f64 (/.f64 x y) x) #s(literal -1 binary64))
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 x y)) x #s(literal -1 binary64))
(fma.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 y)) (/.f64 x (neg.f64 y)) #s(literal -1 binary64))
(fma.f64 (/.f64 x (neg.f64 y)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 y)) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 y)) (/.f64 (*.f64 x x) (neg.f64 y)) #s(literal -1 binary64))
(fma.f64 (/.f64 (/.f64 x y) y) (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))
(fma.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) y)) (.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) (/.f64 x y) #s(literal -1 binary64))
(fma.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 (/.f64 (/.f64 x y) y) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (/.f64 x y) y) #s(literal -1 binary64))
(fma.f64 (*.f64 (/.f64 x y) x) (fabs.f64 (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64))
(fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64))
(fma.f64 (/.f64 x y) (fabs.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 y))) #s(literal -1 binary64))
(fma.f64 (/.f64 x y) (fabs.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(fma.f64 (/.f64 x y) (fabs.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64))
(fma.f64 (/.f64 x y) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 x y) (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64))
(fma.f64 x (fabs.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y y))) #s(literal -1 binary64))
(fma.f64 x (fabs.f64 (*.f64 (/.f64 x y) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64))
(fma.f64 x (fabs.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 x y) y))) #s(literal -1 binary64))
(fma.f64 x (/.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y y)) #s(literal -1 binary64))
(fma.f64 x (*.f64 (/.f64 x y) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 x y) y)) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (*.f64 x (/.f64 (/.f64 x y) y))) #s(literal -1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (/.f64 x y) y)) #s(literal -1 binary64))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))
(-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (-.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (pow.f64 (-.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal -1 binary64) (.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) y))) (/.f64 x y)))
(-.f64 #s(literal -1 binary64) (.f64 (neg.f64 (.f64 (/.f64 x y) x)) (/.f64 #s(literal 1/2 binary64) y)))
(-.f64 #s(literal -1 binary64) (.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) y)) (.f64 (/.f64 x y) x)))
(+.f64 (/.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(+.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64)))
(/.f64 #s(literal -1/2 binary64) (neg.f64 y))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 y)))
(/.f64 #s(literal 1/2 binary64) y)
(neg.f64 (/.f64 #s(literal -1/2 binary64) y))
(*.f64 (neg.f64 x) (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 x y) x)
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(/.f64 (exp.f64 (fma.f64 (log.f64 (/.f64 x y)) #s(literal 4 binary64) (log.f64 #s(literal -1/4 binary64)))) (exp.f64 (log.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))))
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(sqrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64))))
(fabs.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(fabs.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (/.f64 x y) #s(literal 4 binary64))))
(exp.f64 (/.f64 (-.f64 (log.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 (/.f64 x y) #s(literal 8 binary64)))) (.f64 #s(literal 2 binary64) (log1p.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
(exp.f64 (.f64 (fma.f64 (log.f64 (/.f64 x y)) #s(literal 4 binary64) (-.f64 (log.f64 #s(literal 1/4 binary64)) (log1p.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))
(exp.f64 (fma.f64 (log.f64 (/.f64 x y)) #s(literal 4 binary64) (-.f64 (log.f64 #s(literal 1/4 binary64)) (log1p.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64))))))
(+.f64 (cosh.f64 (fma.f64 (log.f64 (/.f64 x y)) #s(literal 4 binary64) (-.f64 (log.f64 #s(literal 1/4 binary64)) (log1p.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)))))) (sinh.f64 (fma.f64 (log.f64 (/.f64 x y)) #s(literal 4 binary64) (-.f64 (log.f64 #s(literal 1/4 binary64)) (log1p.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)))))))

eval488.0ms (6%)

Memory: 34.3MiB live, 380.6MiB allocated
Compiler: Compiled 146 403 to 5 733 computations (96.1% saved)

prune99.0ms (1.2%)

Memory

-21.9MiB live, 101.5MiB allocated

Pruning

16 alts after pruning (11 fresh and 5 done)

	Pruned	Kept	Total
New	1 374	11	1 385
Fresh	0	0	0
Picked	3	2	5
Done	0	3	3
Total	1 377	16	1 393

Accuracy

99.5%

Counts

1 393 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.2%	(/.f64 (fma.f64 (.f64 #s(literal -4 binary64) y) y (.f64 x x)) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)))
▶	56.9%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (/.f64 x y) #s(literal 4 binary64)))))
✓	57.8%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64)))
✓	45.5%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)))
▶	53.6%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 x (/.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y y)) #s(literal -1 binary64)))
▶	56.6%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
	56.8%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64) #s(literal 1 binary64))))
	56.4%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 x y) #s(literal 12 binary64)))) (fma.f64 (/.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))))))
	16.6%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64))))) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))
▶	56.4%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) (.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64)))))))
	27.6%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))))))
	56.6%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))))
	56.4%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64)) (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))))))
▶	56.6%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))) (-.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))))
✓	43.5%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
✓	56.1%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Compiler

Compiled 2 057 to 779 computations (62.1% saved)

simplify194.0ms (2.4%)

Memory

-9.4MiB live, 194.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) (.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64))))))
cost-diff	0	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) (.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64)))))))
cost-diff	1	(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
cost-diff	1	(-.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)))
cost-diff	0	(-.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)))
cost-diff	0	(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))) (-.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
cost-diff	0	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))) (-.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))))
cost-diff	1	(-.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))
cost-diff	0	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
cost-diff	1	(-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
cost-diff	1	(+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
cost-diff	2	(.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))
cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
cost-diff	0	(/.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y y))
cost-diff	0	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 x (/.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y y)) #s(literal -1 binary64)))
cost-diff	2	(fma.f64 x (/.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y y)) #s(literal -1 binary64))
cost-diff	0	(fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))
cost-diff	0	(pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64))
cost-diff	0	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (/.f64 x y) #s(literal 4 binary64)))))
cost-diff	21	(fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (/.f64 x y) #s(literal 4 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	1298
0	118	1288
1	222	1266
2	615	1261
3	2591	1243
0	8701	1213

Stop Event

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

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (/.f64 x y) #s(literal 4 binary64)))))
(fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (/.f64 x y) #s(literal 4 binary64))))
(pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64))
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))
(pow.f64 (/.f64 x y) #s(literal 2 binary64))
(/.f64 x y)
x
y
#s(literal 2 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal -1/2 binary64)
(neg.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (/.f64 x y) #s(literal 4 binary64)))
(/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(literal 1/4 binary64)
(pow.f64 (/.f64 x y) #s(literal 4 binary64))
#s(literal 4 binary64)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 x (/.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y y)) #s(literal -1 binary64)))
(fma.f64 x (/.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y y)) #s(literal -1 binary64))
x
(/.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y y))
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 y y)
y
#s(literal -1 binary64)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal -1 binary64))
(pow.f64 (/.f64 x y) #s(literal 6 binary64))
(/.f64 x y)
x
y
#s(literal 6 binary64)
#s(literal 1/8 binary64)
#s(literal -1 binary64)
(+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
#s(literal 1 binary64)
(-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)))
#s(literal 1/4 binary64)
(pow.f64 (/.f64 x y) #s(literal 4 binary64))
#s(literal 4 binary64)
(.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 x y) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))) (-.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))) (-.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(-.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64)))
(pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(literal 1/4 binary64)
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))
(pow.f64 (/.f64 x y) #s(literal 2 binary64))
(/.f64 x y)
x
y
#s(literal 2 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(pow.f64 (/.f64 x y) #s(literal 8 binary64))
#s(literal 8 binary64)
(pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))
#s(literal -2 binary64)
(-.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (/.f64 x y) #s(literal 4 binary64)))
(pow.f64 (/.f64 x y) #s(literal 4 binary64))
#s(literal 4 binary64)
(/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(literal -1 binary64)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) (.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) (.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64))))))
(-.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)))
(pow.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64))
(/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (/.f64 x y) #s(literal 4 binary64))
(/.f64 x y)
x
y
#s(literal 4 binary64)
#s(literal 1/4 binary64)
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))
(pow.f64 (/.f64 x y) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
(pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))
(pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))
#s(literal -1 binary64)
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64)))))
(pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))
(pow.f64 (/.f64 x y) #s(literal 6 binary64))
#s(literal 6 binary64)
#s(literal 1/8 binary64)
(pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) (.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64))))
(*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)))
(pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))
#s(literal -2 binary64)
(*.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64)))
(pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(pow.f64 (/.f64 x y) #s(literal 8 binary64))
#s(literal 8 binary64)

Outputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (/.f64 x y) #s(literal 4 binary64)))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))))
(fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (/.f64 x y) #s(literal 4 binary64))))
(/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))
(pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64))
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64))
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 x y) #s(literal 2 binary64))
(/.f64 x y)
x
y
#s(literal 2 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal -1/2 binary64)
(neg.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(neg.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (/.f64 x y) #s(literal 4 binary64)))
(*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))
#s(literal 1/4 binary64)
(pow.f64 (/.f64 x y) #s(literal 4 binary64))
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(pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
#s(literal -1 binary64)
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64)))))
(fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (fma.f64 (.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (.f64 (pow.f64 (/.f64 x y) #s(literal 8 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))))
(pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 x y) #s(literal 6 binary64))
#s(literal 6 binary64)
#s(literal 1/8 binary64)
(pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))
(fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) (.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64))))
(fma.f64 (.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (.f64 (pow.f64 (/.f64 x y) #s(literal 8 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))))
(*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)))
(*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))
#s(literal -2 binary64)
(*.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64)))
(*.f64 (pow.f64 (/.f64 x y) #s(literal 8 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))
(pow.f64 (/.f64 x y) #s(literal 8 binary64))
#s(literal 8 binary64)

localize248.0ms (3%)

Memory

-1.2MiB live, 315.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	19.323767051221832	(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) (.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64))))))
accuracy	19.915788582020937	(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64)))))
accuracy	19.925672835477062	(*.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64)))
accuracy	27.016377010813212	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) (.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64)))))))
accuracy	17.512045145475835	(*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (/.f64 x y) #s(literal 4 binary64)))
accuracy	17.906576395475835	(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))) (-.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
accuracy	19.925672835477062	(*.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64)))
accuracy	27.016377010813212	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))) (-.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))))
accuracy	0.2109375	(pow.f64 (/.f64 x y) #s(literal 2 binary64))
accuracy	0.24978266606351426	(pow.f64 (/.f64 x y) #s(literal 4 binary64))
accuracy	19.327673301221832	(/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
accuracy	27.016377010813212	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
accuracy	0.0	(*.f64 x #s(literal 1/2 binary64))
accuracy	0.7264812125900124	(fma.f64 x (/.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y y)) #s(literal -1 binary64))
accuracy	6.985913117551041	(/.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y y))
accuracy	27.016377010813212	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 x (/.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y y)) #s(literal -1 binary64)))
accuracy	0.24978266606351426	(pow.f64 (/.f64 x y) #s(literal 4 binary64))
accuracy	8.972951302481993	(pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64))
accuracy	17.512045145475835	(*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (/.f64 x y) #s(literal 4 binary64)))
accuracy	27.016377010813212	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (/.f64 x y) #s(literal 4 binary64)))))

Samples

168.0ms

256×

valid

Compiler

Compiled 1 123 to 71 computations (93.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 132.0ms

ival-mult: 41.0ms (31.1% of total)

ival-add: 29.0ms (22% of total)

ival-pow: 25.0ms (18.9% of total)

ival-div: 16.0ms (12.1% of total)

ival-pow2: 12.0ms (9.1% of total)

ival-sub: 7.0ms (5.3% of total)

exact: 2.0ms (1.5% of total)

ival-neg: 1.0ms (0.8% of total)

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

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

series99.0ms (1.2%)

Memory

11.7MiB live, 89.2MiB allocated

Counts

26 → 132

Calls

Call 1

Inputs
(fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (/.f64 x y) #s(literal 4 binary64))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (/.f64 x y) #s(literal 4 binary64)))))
(pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64))
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 x (/.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y y)) #s(literal -1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 x (/.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y y)) #s(literal -1 binary64)))
(/.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y y))
(*.f64 x #s(literal 1/2 binary64))
(.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(-.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))) (-.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))) (-.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(-.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)))
(-.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) (.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) (.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64))))))
(*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (/.f64 x y) #s(literal 4 binary64)))
(pow.f64 (/.f64 x y) #s(literal 4 binary64))
(/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(pow.f64 (/.f64 x y) #s(literal 2 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64)))
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64)))))

Outputs
-1
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1)
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1)
1
(+ 1 (* -1/4 (/ (pow x 2) (pow y 2))))
(+ 1 (* (pow x 2) (- (* 3/32 (/ (pow x 2) (pow y 4))) (* 1/4 (/ 1 (pow y 2))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -5/128 (/ (pow x 2) (pow y 6))) (* 3/32 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2))))))
(+ 1 (* 1/2 (/ (pow x 2) (pow y 2))))
(* 1/2 (/ x (pow y 2)))
(* 1/2 x)
(* -1/2 (/ (pow x 2) (pow y 2)))
(+ 1 (* (pow x 2) (+ (* 1/4 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))))
(* 1/2 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (+ (* 1/4 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2)))))
(+ 1 (* -1/2 (/ (pow x 2) (pow y 2))))
(+ 1 (* (pow x 2) (- (* 1/2 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/4 (/ (pow x 2) (pow y 6))) (* 1/2 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))))
(- (/ (pow x 2) (pow y 2)) 1)
(- (* (pow x 2) (+ (* -3/4 (/ (pow x 2) (pow y 4))) (/ 1 (pow y 2)))) 1)
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/2 (/ (pow x 2) (pow y 6))) (* 3/4 (/ 1 (pow y 4))))) (/ 1 (pow y 2)))) 1)
(- (* 3/2 (/ (pow x 2) (pow y 2))) 1)
(- (* (pow x 2) (+ (* -3/2 (/ (pow x 2) (pow y 4))) (* 3/2 (/ 1 (pow y 2))))) 1)
(- (* (pow x 2) (+ (* (pow x 2) (- (* 5/4 (/ (pow x 2) (pow y 6))) (* 3/2 (/ 1 (pow y 4))))) (* 3/2 (/ 1 (pow y 2))))) 1)
(* 1/4 (/ (pow x 4) (pow y 4)))
(* (pow x 4) (+ (* -1/8 (/ (pow x 2) (pow y 6))) (* 1/4 (/ 1 (pow y 4)))))
(* (pow x 4) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow y 8))) (* 1/8 (/ 1 (pow y 6))))) (* 1/4 (/ 1 (pow y 4)))))
(* (pow x 4) (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/32 (/ (pow x 2) (pow y 10))) (* 1/16 (/ 1 (pow y 8))))) (* 1/8 (/ 1 (pow y 6))))) (* 1/4 (/ 1 (pow y 4)))))
(/ (pow x 4) (pow y 4))
(/ (pow x 2) (pow y 2))
(* 1/16 (/ (pow x 8) (pow y 8)))
(* (pow x 8) (+ (* -1/16 (/ (pow x 2) (pow y 10))) (* 1/16 (/ 1 (pow y 8)))))
(* (pow x 8) (+ (* (pow x 2) (- (* 3/64 (/ (pow x 2) (pow y 12))) (* 1/16 (/ 1 (pow y 10))))) (* 1/16 (/ 1 (pow y 8)))))
(* (pow x 8) (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/32 (/ (pow x 2) (pow y 14))) (* 3/64 (/ 1 (pow y 12))))) (* 1/16 (/ 1 (pow y 10))))) (* 1/16 (/ 1 (pow y 8)))))
(+ 1 (* -1 (/ (pow x 2) (pow y 2))))
(+ 1 (* (pow x 2) (- (/ (pow x 2) (pow y 4)) (/ 1 (pow y 2)))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -3/4 (/ (pow x 2) (pow y 6))) (/ 1 (pow y 4)))) (/ 1 (pow y 2)))))
(* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))
(* (pow x 2) (- (+ (* -4 (/ (pow y 4) (pow x 6))) (+ (* 4 (/ (pow y 4) (pow x 6))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 (pow x 2))))
(* (pow x 2) (- (+ (* -8 (/ (pow y 6) (pow x 8))) (+ (* -4 (/ (pow y 4) (pow x 6))) (+ (* 4 (/ (pow y 4) (pow x 6))) (+ (* 8 (/ (pow y 6) (pow x 8))) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 (pow x 2))))
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
(/ (* y (sqrt 2)) x)
(/ (+ (* -2 (/ (pow y 3) (* (pow x 2) (sqrt 2)))) (* y (sqrt 2))) x)
(/ (+ (* -2 (/ (pow y 3) (* (pow x 2) (sqrt 2)))) (+ (* -1/2 (/ (+ (* -8 (pow y 6)) (* 4 (/ (pow y 6) (pow (sqrt 2) 2)))) (* (pow x 4) (* y (sqrt 2))))) (* y (sqrt 2)))) x)
(/ (+ (* -2 (/ (pow y 3) (* (pow x 2) (sqrt 2)))) (+ (* -1/2 (/ (+ (* -8 (pow y 6)) (* 4 (/ (pow y 6) (pow (sqrt 2) 2)))) (* (pow x 4) (* y (sqrt 2))))) (+ (* -1/2 (/ (+ (* 2 (/ (* (pow y 2) (+ (* -8 (pow y 6)) (* 4 (/ (pow y 6) (pow (sqrt 2) 2))))) (pow (sqrt 2) 2))) (* 16 (pow y 8))) (* (pow x 6) (* y (sqrt 2))))) (* y (sqrt 2))))) x)
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/2 (/ 1 (pow y 2)))))
(* (pow x 4) (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))
(* (pow x 4) (+ (/ 1/2 (* (pow x 2) (pow y 2))) (+ (/ 1 (pow x 4)) (* 1/4 (/ 1 (pow y 4))))))
(* (pow x 2) (- (+ (* 4 (/ (pow y 2) (pow x 4))) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (pow x 2))))
(* (pow x 2) (- (+ (* -4 (/ (pow y 4) (pow x 6))) (+ (* 4 (/ (pow y 2) (pow x 4))) (* 1/2 (/ 1 (pow y 2))))) (+ (* 4 (/ (pow y 4) (pow x 6))) (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ (* 6 (/ (pow y 2) (pow x 4))) (* 1/2 (/ 1 (pow y 2)))) (+ (* 2 (/ (pow y 2) (pow x 4))) (+ (* 4 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 2))))))
(* (pow x 2) (- (+ (* -1/8 (/ (* (pow y 2) (+ (* -64 (pow y 2)) (* 192 (pow y 2)))) (pow x 6))) (+ (* 4 (/ (pow y 4) (pow x 6))) (+ (* 6 (/ (pow y 2) (pow x 4))) (* 1/2 (/ 1 (pow y 2)))))) (+ (* -8 (/ (pow y 4) (pow x 6))) (+ (* -4 (/ (pow y 4) (pow x 6))) (+ (* -2 (/ (* (pow y 2) (- (* 6 (pow y 2)) (+ (* 2 (pow y 2)) (* 4 (pow y 2))))) (pow x 6))) (+ (* 2 (/ (pow y 2) (pow x 4))) (+ (* 4 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 2)))))))))
(* (pow x 4) (- (* 1/4 (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2)))))
(* (pow x 4) (- (+ (* 1/4 (/ 1 (pow y 4))) (/ 3 (pow x 4))) (/ 1 (* (pow x 2) (pow y 2)))))
(* (pow x 4) (- (+ (* -1/16 (/ (+ (* -64 (pow y 2)) (* 192 (pow y 2))) (pow x 6))) (+ (* 1/4 (/ 1 (pow y 4))) (/ 3 (pow x 4)))) (/ 1 (* (pow x 2) (pow y 2)))))
(* 1/8 (/ (pow x 6) (pow y 6)))
(* (pow x 6) (- (* 1/8 (/ 1 (pow y 6))) (* 3/4 (/ 1 (* (pow x 2) (pow y 4))))))
(* (pow x 6) (- (+ (* 1/8 (/ 1 (pow y 6))) (/ 3 (* (pow x 4) (pow y 2)))) (/ 3/4 (* (pow x 2) (pow y 4)))))
(* (pow x 6) (- (+ (* 3 (/ 1 (* (pow x 4) (pow y 2)))) (* 1/8 (/ 1 (pow y 6)))) (+ (/ 3/4 (* (pow x 2) (pow y 4))) (* 10 (/ 1 (pow x 6))))))
(* (pow x 2) (- (/ 1 (pow x 2)) (* 1/2 (/ 1 (pow y 2)))))
(* (pow x 2) (- (+ (* 12 (/ (pow y 2) (pow x 4))) (* 1/2 (/ 1 (pow y 2)))) (+ (* 4 (/ (pow y 2) (pow x 4))) (+ (* 8 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 2))))))
(* (pow x 2) (- (+ (* -40 (/ (pow y 4) (pow x 6))) (+ (* 12 (/ (pow y 2) (pow x 4))) (* 1/2 (/ 1 (pow y 2))))) (+ (* -16 (/ (pow y 4) (pow x 6))) (+ (* -4 (/ (* (pow y 2) (- (* 12 (pow y 2)) (+ (* 4 (pow y 2)) (* 8 (pow y 2))))) (pow x 6))) (+ (* 2 (/ (* (pow y 2) (+ (* -4 (pow y 2)) (* -1/16 (+ (* -64 (pow y 2)) (* 192 (pow y 2)))))) (pow x 6))) (+ (* 4 (/ (pow y 2) (pow x 4))) (+ (* 8 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 2)))))))))
(* (pow x 2) (- (+ (* 2 (/ (pow y 2) (pow x 4))) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (pow x 2))))
(* (pow x 2) (- (+ (* -4 (/ (pow y 4) (pow x 6))) (* 1/2 (/ 1 (pow y 2)))) (+ (* -2 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ (* -1 (/ (+ (* -2 (pow y 2)) (* 2 (pow y 2))) (pow x 4))) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (pow x 2))))
(* (pow x 2) (- (+ (* 2 (/ (* (pow y 2) (+ (* -2 (pow y 2)) (* 2 (pow y 2)))) (pow x 6))) (* 1/2 (/ 1 (pow y 2)))) (+ (* -2 (/ (pow y 2) (pow x 4))) (+ (* 2 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 2))))))
(* (pow x 4) (- (+ (* -1 (/ (+ (* -4 (pow y 2)) (* 12 (pow y 2))) (pow x 6))) (+ (* 1/4 (/ 1 (pow y 4))) (/ 3 (pow x 4)))) (/ 1 (* (pow x 2) (pow y 2)))))
(* (pow x 4) (- (+ (* 1/4 (/ 1 (pow y 4))) (/ 4 (pow x 4))) (/ 1 (* (pow x 2) (pow y 2)))))
(* (pow x 4) (- (+ (* -4 (/ (pow y 2) (pow x 6))) (+ (* -1/16 (/ (+ (* -64 (pow y 2)) (* 192 (pow y 2))) (pow x 6))) (+ (* 1/4 (/ 1 (pow y 4))) (/ 4 (pow x 4))))) (/ 1 (* (pow x 2) (pow y 2)))))
(* -1 (/ (* y (sqrt 2)) x))
(* -1 (/ (+ (* -2 (/ (pow y 3) (* (pow x 2) (sqrt 2)))) (* y (sqrt 2))) x))
(* -1 (/ (+ (* -2 (/ (pow y 3) (* (pow x 2) (sqrt 2)))) (+ (* -1/2 (/ (+ (* -8 (pow y 6)) (* 4 (/ (pow y 6) (pow (sqrt 2) 2)))) (* (pow x 4) (* y (sqrt 2))))) (* y (sqrt 2)))) x))
(* -1 (/ (+ (* -2 (/ (pow y 3) (* (pow x 2) (sqrt 2)))) (+ (* -1/2 (/ (+ (* -8 (pow y 6)) (* 4 (/ (pow y 6) (pow (sqrt 2) 2)))) (* (pow x 4) (* y (sqrt 2))))) (+ (* -1/2 (/ (+ (* 2 (/ (* (pow y 2) (+ (* -8 (pow y 6)) (* 4 (/ (pow y 6) (pow (sqrt 2) 2))))) (pow (sqrt 2) 2))) (* 16 (pow y 8))) (* (pow x 6) (* y (sqrt 2))))) (* y (sqrt 2))))) x))
(/ (+ (* -1 (pow y 2)) (* 1/2 (pow x 2))) (pow y 2))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))
(* y (+ (* -2 (/ (pow y 2) (* (pow x 3) (sqrt 2)))) (/ (sqrt 2) x)))
(* y (+ (* (pow y 2) (- (* 1/2 (/ (* x (* (pow y 2) (- (* 8 (/ 1 (pow x 6))) (* 4 (/ 1 (* (pow x 6) (pow (sqrt 2) 2))))))) (sqrt 2))) (* 2 (/ 1 (* (pow x 3) (sqrt 2)))))) (/ (sqrt 2) x)))
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/2 (/ (* x (* (pow y 2) (+ (* -2 (/ (- (* 8 (/ 1 (pow x 6))) (* 4 (/ 1 (* (pow x 6) (pow (sqrt 2) 2))))) (* (pow x 2) (pow (sqrt 2) 2)))) (* 16 (/ 1 (pow x 8)))))) (sqrt 2))) (* 1/2 (/ (* x (- (* 8 (/ 1 (pow x 6))) (* 4 (/ 1 (* (pow x 6) (pow (sqrt 2) 2)))))) (sqrt 2))))) (* 2 (/ 1 (* (pow x 3) (sqrt 2)))))) (/ (sqrt 2) x)))
(/ (+ (* 1/2 (pow x 2)) (pow y 2)) (pow y 2))
(/ (+ (* 1/4 (pow x 4)) (* 1/2 (* (pow x 2) (pow y 2)))) (pow y 4))
(/ (+ (* 1/4 (pow x 4)) (* (pow y 2) (- (pow y 2) (* -1/2 (pow x 2))))) (pow y 4))
(/ (+ (* 1/2 (pow x 2)) (* (pow y 2) (- (* 4 (/ (pow y 2) (pow x 2))) 1))) (pow y 2))
(/ (+ (* 1/2 (pow x 2)) (* (pow y 2) (- (* (pow y 2) (+ (* -8 (/ (pow y 2) (pow x 4))) (* 4 (/ 1 (pow x 2))))) 1))) (pow y 2))
(/ (+ (* -1 (* (pow x 2) (pow y 2))) (* 1/4 (pow x 4))) (pow y 4))
(/ (+ (* 1/4 (pow x 4)) (* (pow y 2) (+ (* -1 (pow x 2)) (* 3 (pow y 2))))) (pow y 4))
(/ (+ (* 1/4 (pow x 4)) (* (pow y 2) (+ (* -1 (pow x 2)) (* (pow y 2) (+ 3 (* -8 (/ (pow y 2) (pow x 2)))))))) (pow y 4))
(/ (+ (* -1 (* (pow y 2) (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))))) (* 1/8 (pow x 6))) (pow y 6))
(/ (+ (* 1/8 (pow x 6)) (* (pow y 2) (+ (* -1 (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4)))) (* -1/64 (* (pow y 2) (+ (* -512 (/ (pow (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) 2) (pow x 6))) (* 64 (+ (* 1/2 (pow x 2)) (pow x 2))))))))) (pow y 6))
(/ (+ (* 1/8 (pow x 6)) (* (pow y 2) (+ (* -1 (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4)))) (* (pow y 2) (+ (* -1/64 (* (pow y 2) (+ 64 (+ (* -512 (/ (* (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) (+ (* 1/2 (pow x 2)) (pow x 2))) (pow x 6))) (* -8 (/ (* (+ (* -512 (/ (pow (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) 2) (pow x 6))) (* 64 (+ (* 1/2 (pow x 2)) (pow x 2)))) (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4)))) (pow x 6))))))) (* -1/64 (+ (* -512 (/ (pow (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) 2) (pow x 6))) (* 64 (+ (* 1/2 (pow x 2)) (pow x 2)))))))))) (pow y 6))
(/ (- (pow y 2) (* 1/2 (pow x 2))) (pow y 2))
(/ (+ (* 1/2 (pow x 2)) (* (pow y 2) (+ 2 (* -4 (/ (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) (pow x 4)))))) (pow y 2))
(/ (+ (* 1/2 (pow x 2)) (* (pow y 2) (+ 2 (+ (* -4 (/ (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) (pow x 4))) (* (pow y 2) (- (* -1/16 (/ (+ (* -512 (/ (pow (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) 2) (pow x 6))) (* 64 (+ (* 1/2 (pow x 2)) (pow x 2)))) (pow x 4))) (+ (* -4 (/ (+ 2 (* -4 (/ (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) (pow x 4)))) (pow x 2))) (* 8 (/ 1 (pow x 2)))))))))) (pow y 2))
(/ (+ (* 1/2 (pow x 2)) (* (pow y 2) (+ 2 (+ (* -4 (/ (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) (pow x 4))) (* (pow y 2) (- (+ (* -1/16 (/ (+ (* -512 (/ (pow (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) 2) (pow x 6))) (* 64 (+ (* 1/2 (pow x 2)) (pow x 2)))) (pow x 4))) (* (pow y 2) (- (+ (* -1/16 (/ (+ 64 (+ (* -512 (/ (* (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) (+ (* 1/2 (pow x 2)) (pow x 2))) (pow x 6))) (* -8 (/ (* (+ (* -512 (/ (pow (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) 2) (pow x 6))) (* 64 (+ (* 1/2 (pow x 2)) (pow x 2)))) (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4)))) (pow x 6))))) (pow x 4))) (* 24 (/ 1 (pow x 4)))) (+ (* -4 (/ (- (* -1/16 (/ (+ (* -512 (/ (pow (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) 2) (pow x 6))) (* 64 (+ (* 1/2 (pow x 2)) (pow x 2)))) (pow x 4))) (+ (* -4 (/ (+ 2 (* -4 (/ (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) (pow x 4)))) (pow x 2))) (* 8 (/ 1 (pow x 2))))) (pow x 2))) (* 16 (/ (+ 2 (* -4 (/ (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) (pow x 4)))) (pow x 4))))))) (+ (* -4 (/ (+ 2 (* -4 (/ (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) (pow x 4)))) (pow x 2))) (* 8 (/ 1 (pow x 2)))))))))) (pow y 2))
(/ (+ (* 1/2 (pow x 2)) (* (pow y 2) (- (* 2 (/ (pow y 2) (pow x 2))) 1))) (pow y 2))
(/ (+ (* 1/2 (pow x 2)) (* (pow y 2) (- (* (pow y 2) (+ (* -4 (/ (pow y 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))) 1))) (pow y 2))
(/ (+ (* 1/4 (pow x 4)) (* (pow y 2) (+ (* -1 (pow x 2)) (* 4 (pow y 2))))) (pow y 4))
(/ (+ (* 1/4 (pow x 4)) (* (pow y 2) (+ (* -1 (pow x 2)) (* (pow y 2) (+ 4 (* -12 (/ (pow y 2) (pow x 2)))))))) (pow y 4))
(- (+ (* -1/4 (/ (pow x 4) (pow y 4))) (+ (* 1/4 (/ (pow x 4) (pow y 4))) (* 1/2 (/ (pow x 2) (pow y 2))))) 1)
(- (+ (* -1/4 (/ (pow x 4) (pow y 4))) (+ (* -1/8 (/ (pow x 6) (pow y 6))) (+ (* 1/8 (/ (pow x 6) (pow y 6))) (+ (* 1/4 (/ (pow x 4) (pow y 4))) (* 1/2 (/ (pow x 2) (pow y 2))))))) 1)
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))
(+ 1 (+ (* -1/2 (/ (+ (* -1/4 (pow x 4)) (* 1/16 (pow x 4))) (pow y 4))) (* -1/4 (/ (pow x 2) (pow y 2)))))
(+ 1 (+ (* -1/2 (/ (+ (* -1/4 (pow x 4)) (* 1/16 (pow x 4))) (pow y 4))) (+ (* -1/2 (/ (+ (* 1/8 (pow x 6)) (* 1/4 (* (pow x 2) (+ (* -1/4 (pow x 4)) (* 1/16 (pow x 4)))))) (pow y 6))) (* -1/4 (/ (pow x 2) (pow y 2))))))
(- (+ 1 (* 1/4 (/ (pow x 4) (pow y 4)))) (* -1/2 (/ (pow x 2) (pow y 2))))
(/ (- (* 1/4 (/ (pow x 4) (pow y 2))) (* -1/2 (pow x 2))) (pow y 2))
(- (+ 1 (* 1/4 (/ (pow x 4) (pow y 4)))) (+ (* -1/4 (/ (pow x 4) (pow y 4))) (* 1/2 (/ (pow x 2) (pow y 2)))))
(- (+ 1 (+ (* -1/8 (/ (pow x 6) (pow y 6))) (* 1/4 (/ (pow x 4) (pow y 4))))) (+ (* -1/4 (/ (pow x 4) (pow y 4))) (+ (* 1/8 (/ (pow x 6) (pow y 6))) (* 1/2 (/ (pow x 2) (pow y 2))))))
(- (/ (pow x 2) (pow y 2)) (+ 1 (* 1/2 (/ (pow x 2) (pow y 2)))))
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(- (+ (* -1 (/ (pow x 4) (pow y 4))) (+ (* 1/4 (/ (pow x 4) (pow y 4))) (/ (pow x 2) (pow y 2)))) 1)
(- (+ (* -1 (/ (* (pow x 2) (+ (* -1 (pow x 4)) (* 1/4 (pow x 4)))) (pow y 6))) (+ (* -1 (/ (pow x 4) (pow y 4))) (+ (* -1/4 (/ (pow x 6) (pow y 6))) (+ (* 1/4 (/ (pow x 4) (pow y 4))) (/ (pow x 2) (pow y 2)))))) 1)
(- (+ (* 1/2 (/ (pow x 2) (pow y 2))) (/ (pow x 2) (pow y 2))) 1)
(- (+ (* -1 (/ (pow (+ (* 1/2 (pow x 2)) (pow x 2)) 2) (pow y 4))) (+ (* 1/4 (/ (pow x 4) (pow y 4))) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/2 (/ (pow x 4) (pow y 4))) (/ (pow x 2) (pow y 2)))))) 1)
(- (+ (* -1 (/ (* (+ (* -1 (pow (+ (* 1/2 (pow x 2)) (pow x 2)) 2)) (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4)))) (+ (* 1/2 (pow x 2)) (pow x 2))) (pow y 6))) (+ (* -1 (/ (* (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) (+ (* 1/2 (pow x 2)) (pow x 2))) (pow y 6))) (+ (* -1 (/ (pow (+ (* 1/2 (pow x 2)) (pow x 2)) 2) (pow y 4))) (+ (* 1/8 (/ (pow x 6) (pow y 6))) (+ (* 1/4 (/ (pow x 4) (pow y 4))) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/2 (/ (pow x 4) (pow y 4))) (/ (pow x 2) (pow y 2))))))))) 1)
(- (+ (* -1 (/ (pow (+ (* 1/2 (pow x 2)) (pow x 2)) 2) (pow y 4))) (+ (* 1/4 (/ (pow x 4) (pow y 4))) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (* 1/2 (/ (pow x 4) (pow y 4)))))) (+ 1 (+ (* -1 (/ (pow x 4) (pow y 4))) (* -1/2 (/ (pow x 4) (pow y 4))))))
(- (+ (* -1 (/ (* (+ (* -1 (pow (+ (* 1/2 (pow x 2)) (pow x 2)) 2)) (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4)))) (+ (* 1/2 (pow x 2)) (pow x 2))) (pow y 6))) (+ (* -1 (/ (* (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) (+ (* 1/2 (pow x 2)) (pow x 2))) (pow y 6))) (+ (* -1 (/ (pow (+ (* 1/2 (pow x 2)) (pow x 2)) 2) (pow y 4))) (+ (* 1/8 (/ (pow x 6) (pow y 6))) (+ (* 1/4 (/ (pow x 4) (pow y 4))) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (* 1/2 (/ (pow x 4) (pow y 4))))))))) (+ 1 (+ (* -1 (/ (* (pow x 2) (- (+ (* -1 (pow (+ (* 1/2 (pow x 2)) (pow x 2)) 2)) (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4)))) (+ (* -1 (pow x 4)) (* -1/2 (pow x 4))))) (pow y 6))) (+ (* -1 (/ (- (* -1/2 (pow x 6)) (* 1/4 (pow x 6))) (pow y 6))) (+ (* -1 (/ (pow x 4) (pow y 4))) (+ (* -1/2 (/ (pow x 4) (pow y 4))) (* 1/2 (/ (pow x 6) (pow y 6)))))))))
(/ (+ (* -1/8 (/ (pow x 6) (pow y 2))) (* 1/4 (pow x 4))) (pow y 4))
(/ (+ (* -1/8 (/ (pow x 6) (pow y 2))) (+ (* 1/16 (/ (pow x 8) (pow y 4))) (* 1/4 (pow x 4)))) (pow y 4))
(/ (+ (* -1/8 (/ (pow x 6) (pow y 2))) (+ (* -1/32 (/ (pow x 10) (pow y 6))) (+ (* 1/16 (/ (pow x 8) (pow y 4))) (* 1/4 (pow x 4))))) (pow y 4))
(- (* -1 (/ (+ (* -1/4 (pow x 4)) (* 1/4 (pow x 4))) (pow y 4))) (+ 1 (* -1/2 (/ (pow x 2) (pow y 2)))))
(- (* 1/2 (/ (* (pow x 2) (+ (* -1/4 (pow x 4)) (* 1/4 (pow x 4)))) (pow y 6))) (+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* -1/4 (/ (pow x 4) (pow y 4))) (* 1/4 (/ (pow x 4) (pow y 4)))))))
(/ (+ (* -1/16 (/ (pow x 10) (pow y 2))) (* 1/16 (pow x 8))) (pow y 8))
(/ (+ (* -1/16 (/ (+ (* -1 (pow x 12)) (* 1/4 (pow x 12))) (pow y 4))) (+ (* -1/16 (/ (pow x 10) (pow y 2))) (* 1/16 (pow x 8)))) (pow y 8))
(/ (+ (* -1/16 (/ (+ (* -1 (* (pow x 2) (+ (* -1 (pow x 12)) (* 1/4 (pow x 12))))) (* -1/4 (pow x 14))) (pow y 6))) (+ (* -1/16 (/ (+ (* -1 (pow x 12)) (* 1/4 (pow x 12))) (pow y 4))) (+ (* -1/16 (/ (pow x 10) (pow y 2))) (* 1/16 (pow x 8))))) (pow y 8))
(+ 1 (+ (* -1 (/ (pow x 2) (pow y 2))) (/ (pow x 4) (pow y 4))))
(- (+ 1 (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* -1/2 (/ (pow x 6) (pow y 6))) (/ (pow x 4) (pow y 4))))) (* 1/4 (/ (pow x 6) (pow y 6))))

Calls

6 calls:

Time	Variable		Point	Expression
30.0ms	x	@	inf	((+ (* (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1/2) (neg (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1/2))) (* (/ 1/4 (+ (* (pow (/ x y) 2) 1/2) 1)) (pow (/ x y) 4))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1/2) (+ (* (pow (/ x y) 2) 1/2) 1) (+ (* x (/ (* x 1/2) (* y y))) -1) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (* x 1/2) (* y y)) (* x 1/2) (* (* (pow (/ x y) 2) 1/2) -1) (+ 1 (- (* 1/4 (pow (/ x y) 4)) (* (* (pow (/ x y) 2) 1/2) -1))) (- (* 1/4 (pow (/ x y) 4)) (* (* (pow (/ x y) 2) 1/2) -1)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (* (/ 1/4 (+ (* (pow (/ x y) 2) 1/2) 1)) (pow (/ x y) 4)) (/ -1 (+ (* (pow (/ x y) 2) 1/2) 1))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* (pow (/ 1/4 (+ (* (pow (/ x y) 2) 1/2) 1)) 2) (pow (/ x y) 8)) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -2)) (- (* (/ 1/4 (+ (* (pow (/ x y) 2) 1/2) 1)) (pow (/ x y) 4)) (/ -1 (+ (* (pow (/ x y) 2) 1/2) 1)))) (- (* (pow (/ 1/4 (+ (* (pow (/ x y) 2) 1/2) 1)) 2) (pow (/ x y) 8)) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -2)) (- (pow (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) 3) (pow (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1) 3)) (- 1 (* (pow (/ x y) 2) 1/2)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (pow (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) 3) (pow (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1) 3)) (+ (* (pow (/ -1 (+ (* (pow (/ x y) 6) 1/8) 1)) 2) (pow (+ (* 1/4 (pow (/ x y) 4)) (- 1 (* (pow (/ x y) 2) 1/2))) 2)) (+ (* (* 1/4 (pow (/ x y) 4)) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -2)) (* (pow (/ 1/4 (+ (* (pow (/ x y) 2) 1/2) 1)) 2) (pow (/ x y) 8))))) (* (/ 1/4 (+ (* (pow (/ x y) 2) 1/2) 1)) (pow (/ x y) 4)) (pow (/ x y) 4) (/ (+ (* (pow (/ x y) 6) 1/8) -1) (+ 1 (- (* 1/4 (pow (/ x y) 4)) (* (* (pow (/ x y) 2) 1/2) -1)))) (pow (/ x y) 2) (* (pow (/ 1/4 (+ (* (pow (/ x y) 2) 1/2) 1)) 2) (pow (/ x y) 8)) (+ (* (pow (/ -1 (+ (* (pow (/ x y) 6) 1/8) 1)) 2) (pow (+ (* 1/4 (pow (/ x y) 4)) (- 1 (* (pow (/ x y) 2) 1/2))) 2)) (+ (* (* 1/4 (pow (/ x y) 4)) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -2)) (* (pow (/ 1/4 (+ (* (pow (/ x y) 2) 1/2) 1)) 2) (pow (/ x y) 8)))))
30.0ms	y	@	-inf	((+ (* (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1/2) (neg (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1/2))) (* (/ 1/4 (+ (* (pow (/ x y) 2) 1/2) 1)) (pow (/ x y) 4))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1/2) (+ (* (pow (/ x y) 2) 1/2) 1) (+ (* x (/ (* x 1/2) (* y y))) -1) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (* x 1/2) (* y y)) (* x 1/2) (* (* (pow (/ x y) 2) 1/2) -1) (+ 1 (- (* 1/4 (pow (/ x y) 4)) (* (* (pow (/ x y) 2) 1/2) -1))) (- (* 1/4 (pow (/ x y) 4)) (* (* (pow (/ x y) 2) 1/2) -1)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (* (/ 1/4 (+ (* (pow (/ x y) 2) 1/2) 1)) (pow (/ x y) 4)) (/ -1 (+ (* (pow (/ x y) 2) 1/2) 1))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* (pow (/ 1/4 (+ (* (pow (/ x y) 2) 1/2) 1)) 2) (pow (/ x y) 8)) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -2)) (- (* (/ 1/4 (+ (* (pow (/ x y) 2) 1/2) 1)) (pow (/ x y) 4)) (/ -1 (+ (* (pow (/ x y) 2) 1/2) 1)))) (- (* (pow (/ 1/4 (+ (* (pow (/ x y) 2) 1/2) 1)) 2) (pow (/ x y) 8)) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -2)) (- (pow (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) 3) (pow (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1) 3)) (- 1 (* (pow (/ x y) 2) 1/2)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (pow (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) 3) (pow (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1) 3)) (+ (* (pow (/ -1 (+ (* (pow (/ x y) 6) 1/8) 1)) 2) (pow (+ (* 1/4 (pow (/ x y) 4)) (- 1 (* (pow (/ x y) 2) 1/2))) 2)) (+ (* (* 1/4 (pow (/ x y) 4)) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -2)) (* (pow (/ 1/4 (+ (* (pow (/ x y) 2) 1/2) 1)) 2) (pow (/ x y) 8))))) (* (/ 1/4 (+ (* (pow (/ x y) 2) 1/2) 1)) (pow (/ x y) 4)) (pow (/ x y) 4) (/ (+ (* (pow (/ x y) 6) 1/8) -1) (+ 1 (- (* 1/4 (pow (/ x y) 4)) (* (* (pow (/ x y) 2) 1/2) -1)))) (pow (/ x y) 2) (* (pow (/ 1/4 (+ (* (pow (/ x y) 2) 1/2) 1)) 2) (pow (/ x y) 8)) (+ (* (pow (/ -1 (+ (* (pow (/ x y) 6) 1/8) 1)) 2) (pow (+ (* 1/4 (pow (/ x y) 4)) (- 1 (* (pow (/ x y) 2) 1/2))) 2)) (+ (* (* 1/4 (pow (/ x y) 4)) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -2)) (* (pow (/ 1/4 (+ (* (pow (/ x y) 2) 1/2) 1)) 2) (pow (/ x y) 8)))))
11.0ms	x	@	0	((+ (* (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1/2) (neg (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1/2))) (* (/ 1/4 (+ (* (pow (/ x y) 2) 1/2) 1)) (pow (/ x y) 4))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1/2) (+ (* (pow (/ x y) 2) 1/2) 1) (+ (* x (/ (* x 1/2) (* y y))) -1) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (* x 1/2) (* y y)) (* x 1/2) (* (* (pow (/ x y) 2) 1/2) -1) (+ 1 (- (* 1/4 (pow (/ x y) 4)) (* (* (pow (/ x y) 2) 1/2) -1))) (- (* 1/4 (pow (/ x y) 4)) (* (* (pow (/ x y) 2) 1/2) -1)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (* (/ 1/4 (+ (* (pow (/ x y) 2) 1/2) 1)) (pow (/ x y) 4)) (/ -1 (+ (* (pow (/ x y) 2) 1/2) 1))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* (pow (/ 1/4 (+ (* (pow (/ x y) 2) 1/2) 1)) 2) (pow (/ x y) 8)) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -2)) (- (* (/ 1/4 (+ (* (pow (/ x y) 2) 1/2) 1)) (pow (/ x y) 4)) (/ -1 (+ (* (pow (/ x y) 2) 1/2) 1)))) (- (* (pow (/ 1/4 (+ (* (pow (/ x y) 2) 1/2) 1)) 2) (pow (/ x y) 8)) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -2)) (- (pow (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) 3) (pow (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1) 3)) (- 1 (* (pow (/ x y) 2) 1/2)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (pow (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) 3) (pow (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1) 3)) (+ (* (pow (/ -1 (+ (* (pow (/ x y) 6) 1/8) 1)) 2) (pow (+ (* 1/4 (pow (/ x y) 4)) (- 1 (* (pow (/ x y) 2) 1/2))) 2)) (+ (* (* 1/4 (pow (/ x y) 4)) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -2)) (* (pow (/ 1/4 (+ (* (pow (/ x y) 2) 1/2) 1)) 2) (pow (/ x y) 8))))) (* (/ 1/4 (+ (* (pow (/ x y) 2) 1/2) 1)) (pow (/ x y) 4)) (pow (/ x y) 4) (/ (+ (* (pow (/ x y) 6) 1/8) -1) (+ 1 (- (* 1/4 (pow (/ x y) 4)) (* (* (pow (/ x y) 2) 1/2) -1)))) (pow (/ x y) 2) (* (pow (/ 1/4 (+ (* (pow (/ x y) 2) 1/2) 1)) 2) (pow (/ x y) 8)) (+ (* (pow (/ -1 (+ (* (pow (/ x y) 6) 1/8) 1)) 2) (pow (+ (* 1/4 (pow (/ x y) 4)) (- 1 (* (pow (/ x y) 2) 1/2))) 2)) (+ (* (* 1/4 (pow (/ x y) 4)) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -2)) (* (pow (/ 1/4 (+ (* (pow (/ x y) 2) 1/2) 1)) 2) (pow (/ x y) 8)))))
10.0ms	y	@	0	((+ (* (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1/2) (neg (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1/2))) (* (/ 1/4 (+ (* (pow (/ x y) 2) 1/2) 1)) (pow (/ x y) 4))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1/2) (+ (* (pow (/ x y) 2) 1/2) 1) (+ (* x (/ (* x 1/2) (* y y))) -1) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (* x 1/2) (* y y)) (* x 1/2) (* (* (pow (/ x y) 2) 1/2) -1) (+ 1 (- (* 1/4 (pow (/ x y) 4)) (* (* (pow (/ x y) 2) 1/2) -1))) (- (* 1/4 (pow (/ x y) 4)) (* (* (pow (/ x y) 2) 1/2) -1)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (* (/ 1/4 (+ (* (pow (/ x y) 2) 1/2) 1)) (pow (/ x y) 4)) (/ -1 (+ (* (pow (/ x y) 2) 1/2) 1))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* (pow (/ 1/4 (+ (* (pow (/ x y) 2) 1/2) 1)) 2) (pow (/ x y) 8)) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -2)) (- (* (/ 1/4 (+ (* (pow (/ x y) 2) 1/2) 1)) (pow (/ x y) 4)) (/ -1 (+ (* (pow (/ x y) 2) 1/2) 1)))) (- (* (pow (/ 1/4 (+ (* (pow (/ x y) 2) 1/2) 1)) 2) (pow (/ x y) 8)) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -2)) (- (pow (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) 3) (pow (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1) 3)) (- 1 (* (pow (/ x y) 2) 1/2)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (pow (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) 3) (pow (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1) 3)) (+ (* (pow (/ -1 (+ (* (pow (/ x y) 6) 1/8) 1)) 2) (pow (+ (* 1/4 (pow (/ x y) 4)) (- 1 (* (pow (/ x y) 2) 1/2))) 2)) (+ (* (* 1/4 (pow (/ x y) 4)) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -2)) (* (pow (/ 1/4 (+ (* (pow (/ x y) 2) 1/2) 1)) 2) (pow (/ x y) 8))))) (* (/ 1/4 (+ (* (pow (/ x y) 2) 1/2) 1)) (pow (/ x y) 4)) (pow (/ x y) 4) (/ (+ (* (pow (/ x y) 6) 1/8) -1) (+ 1 (- (* 1/4 (pow (/ x y) 4)) (* (* (pow (/ x y) 2) 1/2) -1)))) (pow (/ x y) 2) (* (pow (/ 1/4 (+ (* (pow (/ x y) 2) 1/2) 1)) 2) (pow (/ x y) 8)) (+ (* (pow (/ -1 (+ (* (pow (/ x y) 6) 1/8) 1)) 2) (pow (+ (* 1/4 (pow (/ x y) 4)) (- 1 (* (pow (/ x y) 2) 1/2))) 2)) (+ (* (* 1/4 (pow (/ x y) 4)) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -2)) (* (pow (/ 1/4 (+ (* (pow (/ x y) 2) 1/2) 1)) 2) (pow (/ x y) 8)))))
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simplify223.0ms (2.7%)

Memory

3.5MiB live, 255.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	826	4515
1	2795	4072
0	8327	3876

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

Inputs
-1
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1)
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1)
1
(+ 1 (* -1/4 (/ (pow x 2) (pow y 2))))
(+ 1 (* (pow x 2) (- (* 3/32 (/ (pow x 2) (pow y 4))) (* 1/4 (/ 1 (pow y 2))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -5/128 (/ (pow x 2) (pow y 6))) (* 3/32 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2))))))
(+ 1 (* 1/2 (/ (pow x 2) (pow y 2))))
(* 1/2 (/ x (pow y 2)))
(* 1/2 x)
(* -1/2 (/ (pow x 2) (pow y 2)))
(+ 1 (* (pow x 2) (+ (* 1/4 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))))
(* 1/2 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (+ (* 1/4 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2)))))
(+ 1 (* -1/2 (/ (pow x 2) (pow y 2))))
(+ 1 (* (pow x 2) (- (* 1/2 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/4 (/ (pow x 2) (pow y 6))) (* 1/2 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))))
(- (/ (pow x 2) (pow y 2)) 1)
(- (* (pow x 2) (+ (* -3/4 (/ (pow x 2) (pow y 4))) (/ 1 (pow y 2)))) 1)
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/2 (/ (pow x 2) (pow y 6))) (* 3/4 (/ 1 (pow y 4))))) (/ 1 (pow y 2)))) 1)
(- (* 3/2 (/ (pow x 2) (pow y 2))) 1)
(- (* (pow x 2) (+ (* -3/2 (/ (pow x 2) (pow y 4))) (* 3/2 (/ 1 (pow y 2))))) 1)
(- (* (pow x 2) (+ (* (pow x 2) (- (* 5/4 (/ (pow x 2) (pow y 6))) (* 3/2 (/ 1 (pow y 4))))) (* 3/2 (/ 1 (pow y 2))))) 1)
(* 1/4 (/ (pow x 4) (pow y 4)))
(* (pow x 4) (+ (* -1/8 (/ (pow x 2) (pow y 6))) (* 1/4 (/ 1 (pow y 4)))))
(* (pow x 4) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow y 8))) (* 1/8 (/ 1 (pow y 6))))) (* 1/4 (/ 1 (pow y 4)))))
(* (pow x 4) (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/32 (/ (pow x 2) (pow y 10))) (* 1/16 (/ 1 (pow y 8))))) (* 1/8 (/ 1 (pow y 6))))) (* 1/4 (/ 1 (pow y 4)))))
(/ (pow x 4) (pow y 4))
(/ (pow x 2) (pow y 2))
(* 1/16 (/ (pow x 8) (pow y 8)))
(* (pow x 8) (+ (* -1/16 (/ (pow x 2) (pow y 10))) (* 1/16 (/ 1 (pow y 8)))))
(* (pow x 8) (+ (* (pow x 2) (- (* 3/64 (/ (pow x 2) (pow y 12))) (* 1/16 (/ 1 (pow y 10))))) (* 1/16 (/ 1 (pow y 8)))))
(* (pow x 8) (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/32 (/ (pow x 2) (pow y 14))) (* 3/64 (/ 1 (pow y 12))))) (* 1/16 (/ 1 (pow y 10))))) (* 1/16 (/ 1 (pow y 8)))))
(+ 1 (* -1 (/ (pow x 2) (pow y 2))))
(+ 1 (* (pow x 2) (- (/ (pow x 2) (pow y 4)) (/ 1 (pow y 2)))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -3/4 (/ (pow x 2) (pow y 6))) (/ 1 (pow y 4)))) (/ 1 (pow y 2)))))
(* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))
(* (pow x 2) (- (+ (* -4 (/ (pow y 4) (pow x 6))) (+ (* 4 (/ (pow y 4) (pow x 6))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 (pow x 2))))
(* (pow x 2) (- (+ (* -8 (/ (pow y 6) (pow x 8))) (+ (* -4 (/ (pow y 4) (pow x 6))) (+ (* 4 (/ (pow y 4) (pow x 6))) (+ (* 8 (/ (pow y 6) (pow x 8))) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 (pow x 2))))
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
(/ (* y (sqrt 2)) x)
(/ (+ (* -2 (/ (pow y 3) (* (pow x 2) (sqrt 2)))) (* y (sqrt 2))) x)
(/ (+ (* -2 (/ (pow y 3) (* (pow x 2) (sqrt 2)))) (+ (* -1/2 (/ (+ (* -8 (pow y 6)) (* 4 (/ (pow y 6) (pow (sqrt 2) 2)))) (* (pow x 4) (* y (sqrt 2))))) (* y (sqrt 2)))) x)
(/ (+ (* -2 (/ (pow y 3) (* (pow x 2) (sqrt 2)))) (+ (* -1/2 (/ (+ (* -8 (pow y 6)) (* 4 (/ (pow y 6) (pow (sqrt 2) 2)))) (* (pow x 4) (* y (sqrt 2))))) (+ (* -1/2 (/ (+ (* 2 (/ (* (pow y 2) (+ (* -8 (pow y 6)) (* 4 (/ (pow y 6) (pow (sqrt 2) 2))))) (pow (sqrt 2) 2))) (* 16 (pow y 8))) (* (pow x 6) (* y (sqrt 2))))) (* y (sqrt 2))))) x)
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/2 (/ 1 (pow y 2)))))
(* (pow x 4) (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))
(* (pow x 4) (+ (/ 1/2 (* (pow x 2) (pow y 2))) (+ (/ 1 (pow x 4)) (* 1/4 (/ 1 (pow y 4))))))
(* (pow x 2) (- (+ (* 4 (/ (pow y 2) (pow x 4))) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (pow x 2))))
(* (pow x 2) (- (+ (* -4 (/ (pow y 4) (pow x 6))) (+ (* 4 (/ (pow y 2) (pow x 4))) (* 1/2 (/ 1 (pow y 2))))) (+ (* 4 (/ (pow y 4) (pow x 6))) (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ (* 6 (/ (pow y 2) (pow x 4))) (* 1/2 (/ 1 (pow y 2)))) (+ (* 2 (/ (pow y 2) (pow x 4))) (+ (* 4 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 2))))))
(* (pow x 2) (- (+ (* -1/8 (/ (* (pow y 2) (+ (* -64 (pow y 2)) (* 192 (pow y 2)))) (pow x 6))) (+ (* 4 (/ (pow y 4) (pow x 6))) (+ (* 6 (/ (pow y 2) (pow x 4))) (* 1/2 (/ 1 (pow y 2)))))) (+ (* -8 (/ (pow y 4) (pow x 6))) (+ (* -4 (/ (pow y 4) (pow x 6))) (+ (* -2 (/ (* (pow y 2) (- (* 6 (pow y 2)) (+ (* 2 (pow y 2)) (* 4 (pow y 2))))) (pow x 6))) (+ (* 2 (/ (pow y 2) (pow x 4))) (+ (* 4 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 2)))))))))
(* (pow x 4) (- (* 1/4 (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2)))))
(* (pow x 4) (- (+ (* 1/4 (/ 1 (pow y 4))) (/ 3 (pow x 4))) (/ 1 (* (pow x 2) (pow y 2)))))
(* (pow x 4) (- (+ (* -1/16 (/ (+ (* -64 (pow y 2)) (* 192 (pow y 2))) (pow x 6))) (+ (* 1/4 (/ 1 (pow y 4))) (/ 3 (pow x 4)))) (/ 1 (* (pow x 2) (pow y 2)))))
(* 1/8 (/ (pow x 6) (pow y 6)))
(* (pow x 6) (- (* 1/8 (/ 1 (pow y 6))) (* 3/4 (/ 1 (* (pow x 2) (pow y 4))))))
(* (pow x 6) (- (+ (* 1/8 (/ 1 (pow y 6))) (/ 3 (* (pow x 4) (pow y 2)))) (/ 3/4 (* (pow x 2) (pow y 4)))))
(* (pow x 6) (- (+ (* 3 (/ 1 (* (pow x 4) (pow y 2)))) (* 1/8 (/ 1 (pow y 6)))) (+ (/ 3/4 (* (pow x 2) (pow y 4))) (* 10 (/ 1 (pow x 6))))))
(* (pow x 2) (- (/ 1 (pow x 2)) (* 1/2 (/ 1 (pow y 2)))))
(* (pow x 2) (- (+ (* 12 (/ (pow y 2) (pow x 4))) (* 1/2 (/ 1 (pow y 2)))) (+ (* 4 (/ (pow y 2) (pow x 4))) (+ (* 8 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 2))))))
(* (pow x 2) (- (+ (* -40 (/ (pow y 4) (pow x 6))) (+ (* 12 (/ (pow y 2) (pow x 4))) (* 1/2 (/ 1 (pow y 2))))) (+ (* -16 (/ (pow y 4) (pow x 6))) (+ (* -4 (/ (* (pow y 2) (- (* 12 (pow y 2)) (+ (* 4 (pow y 2)) (* 8 (pow y 2))))) (pow x 6))) (+ (* 2 (/ (* (pow y 2) (+ (* -4 (pow y 2)) (* -1/16 (+ (* -64 (pow y 2)) (* 192 (pow y 2)))))) (pow x 6))) (+ (* 4 (/ (pow y 2) (pow x 4))) (+ (* 8 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 2)))))))))
(* (pow x 2) (- (+ (* 2 (/ (pow y 2) (pow x 4))) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (pow x 2))))
(* (pow x 2) (- (+ (* -4 (/ (pow y 4) (pow x 6))) (* 1/2 (/ 1 (pow y 2)))) (+ (* -2 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ (* -1 (/ (+ (* -2 (pow y 2)) (* 2 (pow y 2))) (pow x 4))) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (pow x 2))))
(* (pow x 2) (- (+ (* 2 (/ (* (pow y 2) (+ (* -2 (pow y 2)) (* 2 (pow y 2)))) (pow x 6))) (* 1/2 (/ 1 (pow y 2)))) (+ (* -2 (/ (pow y 2) (pow x 4))) (+ (* 2 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 2))))))
(* (pow x 4) (- (+ (* -1 (/ (+ (* -4 (pow y 2)) (* 12 (pow y 2))) (pow x 6))) (+ (* 1/4 (/ 1 (pow y 4))) (/ 3 (pow x 4)))) (/ 1 (* (pow x 2) (pow y 2)))))
(* (pow x 4) (- (+ (* 1/4 (/ 1 (pow y 4))) (/ 4 (pow x 4))) (/ 1 (* (pow x 2) (pow y 2)))))
(* (pow x 4) (- (+ (* -4 (/ (pow y 2) (pow x 6))) (+ (* -1/16 (/ (+ (* -64 (pow y 2)) (* 192 (pow y 2))) (pow x 6))) (+ (* 1/4 (/ 1 (pow y 4))) (/ 4 (pow x 4))))) (/ 1 (* (pow x 2) (pow y 2)))))
(* -1 (/ (* y (sqrt 2)) x))
(* -1 (/ (+ (* -2 (/ (pow y 3) (* (pow x 2) (sqrt 2)))) (* y (sqrt 2))) x))
(* -1 (/ (+ (* -2 (/ (pow y 3) (* (pow x 2) (sqrt 2)))) (+ (* -1/2 (/ (+ (* -8 (pow y 6)) (* 4 (/ (pow y 6) (pow (sqrt 2) 2)))) (* (pow x 4) (* y (sqrt 2))))) (* y (sqrt 2)))) x))
(* -1 (/ (+ (* -2 (/ (pow y 3) (* (pow x 2) (sqrt 2)))) (+ (* -1/2 (/ (+ (* -8 (pow y 6)) (* 4 (/ (pow y 6) (pow (sqrt 2) 2)))) (* (pow x 4) (* y (sqrt 2))))) (+ (* -1/2 (/ (+ (* 2 (/ (* (pow y 2) (+ (* -8 (pow y 6)) (* 4 (/ (pow y 6) (pow (sqrt 2) 2))))) (pow (sqrt 2) 2))) (* 16 (pow y 8))) (* (pow x 6) (* y (sqrt 2))))) (* y (sqrt 2))))) x))
(/ (+ (* -1 (pow y 2)) (* 1/2 (pow x 2))) (pow y 2))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))
(* y (+ (* -2 (/ (pow y 2) (* (pow x 3) (sqrt 2)))) (/ (sqrt 2) x)))
(* y (+ (* (pow y 2) (- (* 1/2 (/ (* x (* (pow y 2) (- (* 8 (/ 1 (pow x 6))) (* 4 (/ 1 (* (pow x 6) (pow (sqrt 2) 2))))))) (sqrt 2))) (* 2 (/ 1 (* (pow x 3) (sqrt 2)))))) (/ (sqrt 2) x)))
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/2 (/ (* x (* (pow y 2) (+ (* -2 (/ (- (* 8 (/ 1 (pow x 6))) (* 4 (/ 1 (* (pow x 6) (pow (sqrt 2) 2))))) (* (pow x 2) (pow (sqrt 2) 2)))) (* 16 (/ 1 (pow x 8)))))) (sqrt 2))) (* 1/2 (/ (* x (- (* 8 (/ 1 (pow x 6))) (* 4 (/ 1 (* (pow x 6) (pow (sqrt 2) 2)))))) (sqrt 2))))) (* 2 (/ 1 (* (pow x 3) (sqrt 2)))))) (/ (sqrt 2) x)))
(/ (+ (* 1/2 (pow x 2)) (pow y 2)) (pow y 2))
(/ (+ (* 1/4 (pow x 4)) (* 1/2 (* (pow x 2) (pow y 2)))) (pow y 4))
(/ (+ (* 1/4 (pow x 4)) (* (pow y 2) (- (pow y 2) (* -1/2 (pow x 2))))) (pow y 4))
(/ (+ (* 1/2 (pow x 2)) (* (pow y 2) (- (* 4 (/ (pow y 2) (pow x 2))) 1))) (pow y 2))
(/ (+ (* 1/2 (pow x 2)) (* (pow y 2) (- (* (pow y 2) (+ (* -8 (/ (pow y 2) (pow x 4))) (* 4 (/ 1 (pow x 2))))) 1))) (pow y 2))
(/ (+ (* -1 (* (pow x 2) (pow y 2))) (* 1/4 (pow x 4))) (pow y 4))
(/ (+ (* 1/4 (pow x 4)) (* (pow y 2) (+ (* -1 (pow x 2)) (* 3 (pow y 2))))) (pow y 4))
(/ (+ (* 1/4 (pow x 4)) (* (pow y 2) (+ (* -1 (pow x 2)) (* (pow y 2) (+ 3 (* -8 (/ (pow y 2) (pow x 2)))))))) (pow y 4))
(/ (+ (* -1 (* (pow y 2) (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))))) (* 1/8 (pow x 6))) (pow y 6))
(/ (+ (* 1/8 (pow x 6)) (* (pow y 2) (+ (* -1 (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4)))) (* -1/64 (* (pow y 2) (+ (* -512 (/ (pow (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) 2) (pow x 6))) (* 64 (+ (* 1/2 (pow x 2)) (pow x 2))))))))) (pow y 6))
(/ (+ (* 1/8 (pow x 6)) (* (pow y 2) (+ (* -1 (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4)))) (* (pow y 2) (+ (* -1/64 (* (pow y 2) (+ 64 (+ (* -512 (/ (* (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) (+ (* 1/2 (pow x 2)) (pow x 2))) (pow x 6))) (* -8 (/ (* (+ (* -512 (/ (pow (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) 2) (pow x 6))) (* 64 (+ (* 1/2 (pow x 2)) (pow x 2)))) (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4)))) (pow x 6))))))) (* -1/64 (+ (* -512 (/ (pow (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) 2) (pow x 6))) (* 64 (+ (* 1/2 (pow x 2)) (pow x 2)))))))))) (pow y 6))
(/ (- (pow y 2) (* 1/2 (pow x 2))) (pow y 2))
(/ (+ (* 1/2 (pow x 2)) (* (pow y 2) (+ 2 (* -4 (/ (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) (pow x 4)))))) (pow y 2))
(/ (+ (* 1/2 (pow x 2)) (* (pow y 2) (+ 2 (+ (* -4 (/ (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) (pow x 4))) (* (pow y 2) (- (* -1/16 (/ (+ (* -512 (/ (pow (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) 2) (pow x 6))) (* 64 (+ (* 1/2 (pow x 2)) (pow x 2)))) (pow x 4))) (+ (* -4 (/ (+ 2 (* -4 (/ (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) (pow x 4)))) (pow x 2))) (* 8 (/ 1 (pow x 2)))))))))) (pow y 2))
(/ (+ (* 1/2 (pow x 2)) (* (pow y 2) (+ 2 (+ (* -4 (/ (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) (pow x 4))) (* (pow y 2) (- (+ (* -1/16 (/ (+ (* -512 (/ (pow (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) 2) (pow x 6))) (* 64 (+ (* 1/2 (pow x 2)) (pow x 2)))) (pow x 4))) (* (pow y 2) (- (+ (* -1/16 (/ (+ 64 (+ (* -512 (/ (* (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) (+ (* 1/2 (pow x 2)) (pow x 2))) (pow x 6))) (* -8 (/ (* (+ (* -512 (/ (pow (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) 2) (pow x 6))) (* 64 (+ (* 1/2 (pow x 2)) (pow x 2)))) (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4)))) (pow x 6))))) (pow x 4))) (* 24 (/ 1 (pow x 4)))) (+ (* -4 (/ (- (* -1/16 (/ (+ (* -512 (/ (pow (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) 2) (pow x 6))) (* 64 (+ (* 1/2 (pow x 2)) (pow x 2)))) (pow x 4))) (+ (* -4 (/ (+ 2 (* -4 (/ (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) (pow x 4)))) (pow x 2))) (* 8 (/ 1 (pow x 2))))) (pow x 2))) (* 16 (/ (+ 2 (* -4 (/ (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) (pow x 4)))) (pow x 4))))))) (+ (* -4 (/ (+ 2 (* -4 (/ (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) (pow x 4)))) (pow x 2))) (* 8 (/ 1 (pow x 2)))))))))) (pow y 2))
(/ (+ (* 1/2 (pow x 2)) (* (pow y 2) (- (* 2 (/ (pow y 2) (pow x 2))) 1))) (pow y 2))
(/ (+ (* 1/2 (pow x 2)) (* (pow y 2) (- (* (pow y 2) (+ (* -4 (/ (pow y 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))) 1))) (pow y 2))
(/ (+ (* 1/4 (pow x 4)) (* (pow y 2) (+ (* -1 (pow x 2)) (* 4 (pow y 2))))) (pow y 4))
(/ (+ (* 1/4 (pow x 4)) (* (pow y 2) (+ (* -1 (pow x 2)) (* (pow y 2) (+ 4 (* -12 (/ (pow y 2) (pow x 2)))))))) (pow y 4))
(- (+ (* -1/4 (/ (pow x 4) (pow y 4))) (+ (* 1/4 (/ (pow x 4) (pow y 4))) (* 1/2 (/ (pow x 2) (pow y 2))))) 1)
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(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
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(- (+ 1 (* 1/4 (/ (pow x 4) (pow y 4)))) (* -1/2 (/ (pow x 2) (pow y 2))))
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(- (/ (pow x 2) (pow y 2)) (+ 1 (* 1/2 (/ (pow x 2) (pow y 2)))))
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(- (+ (* -1 (/ (* (+ (* -1 (pow (+ (* 1/2 (pow x 2)) (pow x 2)) 2)) (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4)))) (+ (* 1/2 (pow x 2)) (pow x 2))) (pow y 6))) (+ (* -1 (/ (* (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) (+ (* 1/2 (pow x 2)) (pow x 2))) (pow y 6))) (+ (* -1 (/ (pow (+ (* 1/2 (pow x 2)) (pow x 2)) 2) (pow y 4))) (+ (* 1/8 (/ (pow x 6) (pow y 6))) (+ (* 1/4 (/ (pow x 4) (pow y 4))) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/2 (/ (pow x 4) (pow y 4))) (/ (pow x 2) (pow y 2))))))))) 1)
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(/ (+ (* -1/8 (/ (pow x 6) (pow y 2))) (+ (* 1/16 (/ (pow x 8) (pow y 4))) (* 1/4 (pow x 4)))) (pow y 4))
(/ (+ (* -1/8 (/ (pow x 6) (pow y 2))) (+ (* -1/32 (/ (pow x 10) (pow y 6))) (+ (* 1/16 (/ (pow x 8) (pow y 4))) (* 1/4 (pow x 4))))) (pow y 4))
(- (* -1 (/ (+ (* -1/4 (pow x 4)) (* 1/4 (pow x 4))) (pow y 4))) (+ 1 (* -1/2 (/ (pow x 2) (pow y 2)))))
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(/ (+ (* -1/16 (/ (+ (* -1 (pow x 12)) (* 1/4 (pow x 12))) (pow y 4))) (+ (* -1/16 (/ (pow x 10) (pow y 2))) (* 1/16 (pow x 8)))) (pow y 8))
(/ (+ (* -1/16 (/ (+ (* -1 (* (pow x 2) (+ (* -1 (pow x 12)) (* 1/4 (pow x 12))))) (* -1/4 (pow x 14))) (pow y 6))) (+ (* -1/16 (/ (+ (* -1 (pow x 12)) (* 1/4 (pow x 12))) (pow y 4))) (+ (* -1/16 (/ (pow x 10) (pow y 2))) (* 1/16 (pow x 8))))) (pow y 8))
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Outputs
-1
#s(literal -1 binary64)
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(-.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (.f64 x x) y)) #s(literal 1 binary64))
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1
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(- (+ (* -1 (/ (pow x 4) (pow y 4))) (+ (* 1/4 (/ (pow x 4) (pow y 4))) (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1 (/ (- (* 1/4 (pow x 4)) (* -1/4 (pow x 4))) (pow y 4))) (+ (* -1/2 (/ (* (pow x 2) (- (pow x 2) (* 1/2 (pow x 2)))) (pow y 4))) (* 1/2 (/ (pow x 2) (pow y 2)))))))
(-.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -3/4 binary64) (.f64 (/.f64 x y) (/.f64 x y))) (+.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x)) #s(literal -1/2 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2 binary64))) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))))
(- (+ (* -1 (/ (* (pow x 2) (+ (* -1 (pow x 4)) (* 1/4 (pow x 4)))) (pow y 6))) (+ (* -1 (/ (pow x 4) (pow y 4))) (+ (* -1/4 (/ (pow x 6) (pow y 6))) (+ (* 1/4 (/ (pow x 4) (pow y 4))) (/ (pow x 2) (pow y 2)))))) (+ 1 (+ (* -1 (/ (- (* -1/8 (pow x 6)) (* 1/8 (pow x 6))) (pow y 6))) (+ (* -1 (/ (- (* 1/4 (pow x 4)) (* -1/4 (pow x 4))) (pow y 4))) (+ (* -1/2 (/ (* (pow x 2) (- (+ (* -1 (pow x 4)) (* 1/4 (pow x 4))) (+ (* -1 (- (* 1/4 (pow x 4)) (* -1/4 (pow x 4)))) (* -1/2 (* (pow x 2) (- (pow x 2) (* 1/2 (pow x 2)))))))) (pow y 6))) (+ (* -1/2 (/ (* (pow x 2) (- (pow x 2) (* 1/2 (pow x 2)))) (pow y 4))) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (/ (* (- (* 1/4 (pow x 4)) (* -1/4 (pow x 4))) (- (pow x 2) (* 1/2 (pow x 2)))) (pow y 6)))))))))
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(- (+ (* -1 (/ (pow x 4) (pow y 4))) (+ (* 1/4 (/ (pow x 4) (pow y 4))) (/ (pow x 2) (pow y 2)))) 1)
(-.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -3/4 binary64) (*.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))
(- (+ (* -1 (/ (* (pow x 2) (+ (* -1 (pow x 4)) (* 1/4 (pow x 4)))) (pow y 6))) (+ (* -1 (/ (pow x 4) (pow y 4))) (+ (* -1/4 (/ (pow x 6) (pow y 6))) (+ (* 1/4 (/ (pow x 4) (pow y 4))) (/ (pow x 2) (pow y 2)))))) 1)
(-.f64 (fma.f64 (.f64 (neg.f64 x) x) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3/4 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/4 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -3/4 binary64) (*.f64 (/.f64 x y) (/.f64 x y))))) #s(literal 1 binary64))
(- (+ (* 1/2 (/ (pow x 2) (pow y 2))) (/ (pow x 2) (pow y 2))) 1)
(-.f64 (.f64 (/.f64 #s(literal 3/2 binary64) y) (/.f64 (.f64 x x) y)) #s(literal 1 binary64))
(- (+ (* -1 (/ (pow (+ (* 1/2 (pow x 2)) (pow x 2)) 2) (pow y 4))) (+ (* 1/4 (/ (pow x 4) (pow y 4))) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/2 (/ (pow x 4) (pow y 4))) (/ (pow x 2) (pow y 2)))))) 1)
(-.f64 (+.f64 (/.f64 (fma.f64 (pow.f64 (.f64 #s(literal 3/2 binary64) (.f64 x x)) #s(literal 2 binary64)) #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 3/2 binary64) y) (/.f64 (.f64 x x) y) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)) (pow.f64 y #s(literal 4 binary64))))) #s(literal 1 binary64))
(- (+ (* -1 (/ (* (+ (* -1 (pow (+ (* 1/2 (pow x 2)) (pow x 2)) 2)) (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4)))) (+ (* 1/2 (pow x 2)) (pow x 2))) (pow y 6))) (+ (* -1 (/ (* (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) (+ (* 1/2 (pow x 2)) (pow x 2))) (pow y 6))) (+ (* -1 (/ (pow (+ (* 1/2 (pow x 2)) (pow x 2)) 2) (pow y 4))) (+ (* 1/8 (/ (pow x 6) (pow y 6))) (+ (* 1/4 (/ (pow x 4) (pow y 4))) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/2 (/ (pow x 4) (pow y 4))) (/ (pow x 2) (pow y 2))))))))) 1)
(-.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3/4 binary64) (neg.f64 (pow.f64 (.f64 #s(literal 3/2 binary64) (.f64 x x)) #s(literal 2 binary64)))) (.f64 #s(literal 3/2 binary64) (.f64 x x))) (neg.f64 (.f64 (.f64 #s(literal 3/2 binary64) (.f64 x x)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3/4 binary64))))) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/8 binary64) (+.f64 (/.f64 (fma.f64 (pow.f64 (.f64 #s(literal 3/2 binary64) (.f64 x x)) #s(literal 2 binary64)) #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 3/2 binary64) y) (/.f64 (.f64 x x) y) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)) (pow.f64 y #s(literal 4 binary64))))))) #s(literal 1 binary64))
(- (+ (* -1 (/ (pow (+ (* 1/2 (pow x 2)) (pow x 2)) 2) (pow y 4))) (+ (* 1/4 (/ (pow x 4) (pow y 4))) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (* 1/2 (/ (pow x 4) (pow y 4)))))) (+ 1 (+ (* -1 (/ (pow x 4) (pow y 4))) (* -1/2 (/ (pow x 4) (pow y 4))))))
(-.f64 (+.f64 (/.f64 (fma.f64 (pow.f64 (.f64 #s(literal 3/2 binary64) (.f64 x x)) #s(literal 2 binary64)) #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x y) (/.f64 x y) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -3/2 binary64) #s(literal 1 binary64)))
(- (+ (* -1 (/ (* (+ (* -1 (pow (+ (* 1/2 (pow x 2)) (pow x 2)) 2)) (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4)))) (+ (* 1/2 (pow x 2)) (pow x 2))) (pow y 6))) (+ (* -1 (/ (* (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) (+ (* 1/2 (pow x 2)) (pow x 2))) (pow y 6))) (+ (* -1 (/ (pow (+ (* 1/2 (pow x 2)) (pow x 2)) 2) (pow y 4))) (+ (* 1/8 (/ (pow x 6) (pow y 6))) (+ (* 1/4 (/ (pow x 4) (pow y 4))) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (* 1/2 (/ (pow x 4) (pow y 4))))))))) (+ 1 (+ (* -1 (/ (* (pow x 2) (- (+ (* -1 (pow (+ (* 1/2 (pow x 2)) (pow x 2)) 2)) (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4)))) (+ (* -1 (pow x 4)) (* -1/2 (pow x 4))))) (pow y 6))) (+ (* -1 (/ (- (* -1/2 (pow x 6)) (* 1/4 (pow x 6))) (pow y 6))) (+ (* -1 (/ (pow x 4) (pow y 4))) (+ (* -1/2 (/ (pow x 4) (pow y 4))) (* 1/2 (/ (pow x 6) (pow y 6)))))))))
(-.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3/4 binary64) (neg.f64 (pow.f64 (.f64 #s(literal 3/2 binary64) (.f64 x x)) #s(literal 2 binary64)))) (.f64 #s(literal 3/2 binary64) (.f64 x x))) (neg.f64 (.f64 (.f64 #s(literal 3/2 binary64) (.f64 x x)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3/4 binary64))))) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/8 binary64) (+.f64 (/.f64 (fma.f64 (pow.f64 (.f64 #s(literal 3/2 binary64) (.f64 x x)) #s(literal 2 binary64)) #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x y) (/.f64 x y) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))))))) (+.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (.f64 (fma.f64 (pow.f64 (.f64 #s(literal 3/2 binary64) (.f64 x x)) #s(literal 2 binary64)) #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9/4 binary64))) (.f64 x x)) (neg.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -3/4 binary64)))) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3/2 binary64)) (pow.f64 y #s(literal 4 binary64))))) #s(literal 1 binary64)))
(/ (+ (* -1/8 (/ (pow x 6) (pow y 2))) (* 1/4 (pow x 4))) (pow y 4))
(/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) y) (/.f64 #s(literal -1/8 binary64) y) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))) (pow.f64 y #s(literal 4 binary64)))
(/ (+ (* -1/8 (/ (pow x 6) (pow y 2))) (+ (* 1/16 (/ (pow x 8) (pow y 4))) (* 1/4 (pow x 4)))) (pow y 4))
(/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) y) (/.f64 #s(literal -1/8 binary64) y) (fma.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)))) (pow.f64 y #s(literal 4 binary64)))
(/ (+ (* -1/8 (/ (pow x 6) (pow y 2))) (+ (* -1/32 (/ (pow x 10) (pow y 6))) (+ (* 1/16 (/ (pow x 8) (pow y 4))) (* 1/4 (pow x 4))))) (pow y 4))
(/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 10 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/32 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) y) (/.f64 #s(literal -1/8 binary64) y) (fma.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))))) (pow.f64 y #s(literal 4 binary64)))
(- (* -1 (/ (+ (* -1/4 (pow x 4)) (* 1/4 (pow x 4))) (pow y 4))) (+ 1 (* -1/2 (/ (pow x 2) (pow y 2)))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64))
(- (* 1/2 (/ (* (pow x 2) (+ (* -1/4 (pow x 4)) (* 1/4 (pow x 4)))) (pow y 6))) (+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* -1/4 (/ (pow x 4) (pow y 4))) (* 1/4 (/ (pow x 4) (pow y 4)))))))
(-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 0 binary64) (.f64 x x))) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (.f64 x x) y) #s(literal 1 binary64)))
(/ (+ (* -1/16 (/ (pow x 10) (pow y 2))) (* 1/16 (pow x 8))) (pow y 8))
(/.f64 (.f64 #s(literal -1/16 binary64) (-.f64 (/.f64 (pow.f64 x #s(literal 10 binary64)) (.f64 y y)) (pow.f64 x #s(literal 8 binary64)))) (pow.f64 y #s(literal 8 binary64)))
(/ (+ (* -1/16 (/ (+ (* -1 (pow x 12)) (* 1/4 (pow x 12))) (pow y 4))) (+ (* -1/16 (/ (pow x 10) (pow y 2))) (* 1/16 (pow x 8)))) (pow y 8))
(/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal -3/4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/16 binary64) (.f64 #s(literal -1/16 binary64) (-.f64 (/.f64 (pow.f64 x #s(literal 10 binary64)) (*.f64 y y)) (pow.f64 x #s(literal 8 binary64))))) (pow.f64 y #s(literal 8 binary64)))
(/ (+ (* -1/16 (/ (+ (* -1 (* (pow x 2) (+ (* -1 (pow x 12)) (* 1/4 (pow x 12))))) (* -1/4 (pow x 14))) (pow y 6))) (+ (* -1/16 (/ (+ (* -1 (pow x 12)) (* 1/4 (pow x 12))) (pow y 4))) (+ (* -1/16 (/ (pow x 10) (pow y 2))) (* 1/16 (pow x 8))))) (pow y 8))
(/.f64 (fma.f64 #s(literal -1/16 binary64) (+.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 14 binary64)) #s(literal -1/4 binary64) (.f64 (.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal -3/4 binary64)) (.f64 (neg.f64 x) x))) (pow.f64 y #s(literal 6 binary64))) (/.f64 (.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal -3/4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (.f64 #s(literal -1/16 binary64) (-.f64 (/.f64 (pow.f64 x #s(literal 10 binary64)) (.f64 y y)) (pow.f64 x #s(literal 8 binary64))))) (pow.f64 y #s(literal 8 binary64)))
(+ 1 (+ (* -1 (/ (pow x 2) (pow y 2))) (/ (pow x 4) (pow y 4))))
(+.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))
(- (+ 1 (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* -1/2 (/ (pow x 6) (pow y 6))) (/ (pow x 4) (pow y 4))))) (* 1/4 (/ (pow x 6) (pow y 6))))
(-.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 x y) (/.f64 x y)))) (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/4 binary64)) (pow.f64 y #s(literal 6 binary64))))

rewrite277.0ms (3.4%)

Memory

-9.3MiB live, 303.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	844
0	118	746
1	495	603
2	4066	597
0	8381	580

Stop Event

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

Counts

26 → 987

Calls

Call 1

Inputs
(fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (/.f64 x y) #s(literal 4 binary64))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (/.f64 x y) #s(literal 4 binary64)))))
(pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64))
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 x (/.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y y)) #s(literal -1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 x (/.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y y)) #s(literal -1 binary64)))
(/.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y y))
(*.f64 x #s(literal 1/2 binary64))
(.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(-.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))) (-.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))) (-.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(-.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)))
(-.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) (.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) (.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64))))))
(*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (/.f64 x y) #s(literal 4 binary64)))
(pow.f64 (/.f64 x y) #s(literal 4 binary64))
(/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(pow.f64 (/.f64 x y) #s(literal 2 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64)))
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64)))))

Outputs
(.f64 (/.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (-.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (-.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))))) (-.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (-.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 12 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -3 binary64)))) (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (pow.f64 (/.f64 x y) #s(literal 8 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 8 binary64)) (/.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) (/.f64 (-.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 8 binary64)) (/.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 24 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64))) (pow.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) (/.f64 (-.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 8 binary64)) (/.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) (/.f64 (-.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 8 binary64)) (/.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))))) (/.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) (/.f64 (-.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))))))))
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(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) (.f64 (pow.f64 (/.f64 x y) #s(literal 8 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))))) (neg.f64 (-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 8 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))) (/.f64 (-.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))) (.f64 (/.f64 (-.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)))) (pow.f64 (/.f64 (-.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))))
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(-.f64 (fma.f64 (.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (.f64 (pow.f64 (/.f64 x y) #s(literal 8 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))) (*.f64 (neg.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))) (pow.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1 binary64))) #s(literal -2 binary64))))
(-.f64 (fma.f64 (.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (.f64 (pow.f64 (/.f64 x y) #s(literal 8 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))) (*.f64 (neg.f64 (pow.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1 binary64))) #s(literal -2 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))))
(+.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 8 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))) (.f64 (.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 x y) #s(literal 4 binary64))))
(+.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -6 binary64)) (fma.f64 (fma.f64 (.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (.f64 (pow.f64 (/.f64 x y) #s(literal 8 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))) (-.f64 (fma.f64 (.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (.f64 (pow.f64 (/.f64 x y) #s(literal 8 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -4 binary64)))) (/.f64 (pow.f64 (fma.f64 (.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (.f64 (pow.f64 (/.f64 x y) #s(literal 8 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))) #s(literal 3 binary64)) (fma.f64 (fma.f64 (.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (.f64 (pow.f64 (/.f64 x y) #s(literal 8 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))) (-.f64 (fma.f64 (.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (.f64 (pow.f64 (/.f64 x y) #s(literal 8 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -4 binary64)))))
(+.f64 (fma.f64 (.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))) (.f64 (pow.f64 (/.f64 x y) #s(literal 8 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))))
(+.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 8 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))) (fma.f64 (.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))))
(+.f64 (.f64 (.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 8 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))))
(+.f64 (fma.f64 (.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (.f64 (pow.f64 (/.f64 x y) #s(literal 8 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)))
(+.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 (.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (.f64 (pow.f64 (/.f64 x y) #s(literal 8 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))))

eval467.0ms (5.7%)

Memory: 33.1MiB live, 617.1MiB allocated
Compiler: Compiled 178 514 to 8 387 computations (95.3% saved)

prune110.0ms (1.3%)

Memory

-16.7MiB live, 178.4MiB allocated

Pruning

20 alts after pruning (14 fresh and 6 done)

	Pruned	Kept	Total
New	1 941	11	1 952
Fresh	3	3	6
Picked	4	1	5
Done	0	5	5
Total	1 948	20	1 968

Accuracy

99.5%

Counts

1 968 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.2%	(/.f64 (fma.f64 (.f64 #s(literal -4 binary64) y) y (.f64 x x)) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)))
	56.8%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (/.f64 (.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (/.f64 x y) #s(literal 4 binary64)))))
	56.7%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (.f64 (/.f64 #s(literal 1/4 binary64) #s(approx (+ ( (pow (/ x y) 2) 1/2) 1) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)))) (pow.f64 (/.f64 x y) #s(literal 4 binary64)))))
	56.1%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal -1/2 binary64))) (*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (/.f64 x y) #s(literal 4 binary64)))))
✓	57.8%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64)))
✓	45.5%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)))
✓	53.6%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 x (/.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y y)) #s(literal -1 binary64)))
	56.0%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) (.f64 (pow.f64 (/.f64 x y) #s(literal 12 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) (.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64)))))))
	56.6%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) (.f64 (/.f64 x y) #s(literal 1/2 binary64)) (.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64))))))
	56.8%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64) #s(literal 1 binary64))))
	16.6%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64))))) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))
	16.2%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) (.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64)))))))
	56.4%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64)) (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))))))
	56.4%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) (.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64)))))))
	56.6%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))) (-.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64) #s(literal 1 binary64))))))
	56.6%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))) (-.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))))))
	56.6%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64))) (pow.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal -2 binary64))) (-.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))))
	56.6%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64))) (pow.f64 (-.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (/.f64 #s(literal 1/8 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))))) #s(literal -2 binary64))) (-.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))))
✓	43.5%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
✓	56.1%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Compiler

Compiled 3 798 to 854 computations (77.5% saved)

regimes48.0ms (0.6%)

Memory

36.1MiB live, 109.1MiB allocated

Counts

34 → 3

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 x (/.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y y)) #s(literal -1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) (*.f64 y y)) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64)))
(/.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)))
(/.f64 (fma.f64 (.f64 #s(literal -4 binary64) y) y (.f64 x x)) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)))
(/.f64 (fma.f64 (.f64 #s(literal -4 binary64) y) y (.f64 x x)) (+.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y)))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64) #s(literal 1 binary64))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) (.f64 (/.f64 x y) #s(literal 1/2 binary64)) (.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (.f64 (/.f64 #s(literal 1/4 binary64) #s(approx (+ ( (pow (/ x y) 2) 1/2) 1) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)))) (pow.f64 (/.f64 x y) #s(literal 4 binary64)))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (/.f64 (.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (/.f64 x y) #s(literal 4 binary64)))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (/.f64 x y) #s(literal 4 binary64)))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64))))) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))) (-.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64) #s(literal 1 binary64))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal -1/2 binary64))) (*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (/.f64 x y) #s(literal 4 binary64)))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))) (-.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))) (-.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64))) (pow.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal -2 binary64))) (-.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64))) (pow.f64 (-.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (/.f64 #s(literal 1/8 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))))) #s(literal -2 binary64))) (-.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) (.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64)))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) (.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64)))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) (.f64 (pow.f64 (/.f64 x y) #s(literal 12 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) (.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64)))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 x y) #s(literal 12 binary64)))) (fma.f64 (/.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64)) (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) (.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64)))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))))))

Outputs

#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)))

(/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))

#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64)))

Calls

5 calls:

11.0ms	x
9.0ms	(*.f64 x x)
9.0ms	y
8.0ms	(.f64 (.f64 y #s(literal 4 binary64)) y)
7.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))

Results

Accuracy	Segments	Branch
84.4%	3	`x`
84.8%	3	`y`
77.0%	2	`(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))`
84.4%	3	`(*.f64 x x)`
84.8%	3	`(.f64 (.f64 y #s(literal 4 binary64)) y)`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes17.0ms (0.2%)

Memory

-45.5MiB live, 16.0MiB allocated

Counts

7 → 2

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 x (/.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y y)) #s(literal -1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) (*.f64 y y)) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64)))

Outputs

#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64)))

#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)))

Calls

4 calls:

9.0ms	(.f64 (.f64 y #s(literal 4 binary64)) y)
3.0ms	y
3.0ms	x
2.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
79.4%	2	`x`
79.4%	2	`(*.f64 x x)`
78.2%	2	`y`
78.2%	2	`(.f64 (.f64 y #s(literal 4 binary64)) y)`

Compiler

Compiled 10 to 12 computations (-20% saved)

regimes5.0ms (0.1%)

Memory

5.3MiB live, 5.3MiB allocated

Counts

5 → 2

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 x (/.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y y)) #s(literal -1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) (*.f64 y y)) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)))

Outputs

#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)))

Calls

2 calls:

2.0ms	x
2.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
78.6%	2	`x`
78.6%	2	`(*.f64 x x)`

Compiler

Compiled 4 to 5 computations (-25% saved)

regimes8.0ms (0.1%)

Memory

11.0MiB live, 11.0MiB allocated

Counts

4 → 2

Calls

Call 1

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

Outputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))

Calls

4 calls:

2.0ms	y
2.0ms	x
2.0ms	(.f64 (.f64 y #s(literal 4 binary64)) y)
2.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
77.5%	2	`y`
77.5%	2	`(.f64 (.f64 y #s(literal 4 binary64)) y)`
78.2%	2	`x`
78.2%	2	`(*.f64 x x)`

Compiler

Compiled 10 to 12 computations (-20% saved)

regimes5.0ms (0.1%)

Memory

11.4MiB live, 11.4MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Outputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Calls

5 calls:

1.0ms	x
1.0ms	y
1.0ms	(.f64 (.f64 y #s(literal 4 binary64)) y)
1.0ms	(*.f64 x x)
1.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))

Results

Accuracy	Segments	Branch
56.1%	1	`(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))`
56.1%	1	`y`
56.1%	1	`(.f64 (.f64 y #s(literal 4 binary64)) y)`
56.1%	1	`x`
56.1%	1	`(*.f64 x x)`

Compiler

Compiled 29 to 21 computations (27.6% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.6011293047039715e+263	1.9047095699147633e+268
0.0ms	3.321912482610651e-238	5.216200480939659e-232

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.0242312434524934e+192	1.1259037796506505e+194

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.635303344029366e-22	3.5121823308581426e-20

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch4.0ms (0%)

Memory

-37.8MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.0242312434524934e+192	1.1259037796506505e+194

Compiler

Compiled 20 to 14 computations (30% saved)

simplify23.0ms (0.3%)

Memory

5.6MiB live, 43.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	286
1	69	286
2	122	286
3	236	286
4	444	286
5	658	286
6	908	286
7	920	286

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 3665779701564795/7331559403129590068331208687020758653624765228075687047537011123791632385370343464792392772051104864109916034360063928339045596353810784435313926666640532382851295822842678298180301122938618566718730242107326783353838221723324821405531849499257419595776 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) (if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 500000000000000022070259451447643889643195698691290637281503086641722198041511804637241833845925416199409849438773805515698556484214352937342799866667017096235890326785935022607598869817624603345407231591885929026416516254957774801286987505083286521920239280586752 binary64)) (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 x x) #s(literal 4000000000000000163603520835045592005144078953065187831840086853768378653967990910217448018152980789494253047391031253790526131145191623760697248746959109213501418395131774955018617058039431168 binary64)) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 x (/.f64 x y)) #s(literal -1 binary64))) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))))
(if (<=.f64 (.f64 x x) #s(literal 4253529586511731/21267647932558653966460912964485513216 binary64)) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))))
(if (<=.f64 (.f64 x x) #s(literal 4000000000000000163603520835045592005144078953065187831840086853768378653967990910217448018152980789494253047391031253790526131145191623760697248746959109213501418395131774955018617058039431168 binary64)) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Outputs
(if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 3665779701564795/7331559403129590068331208687020758653624765228075687047537011123791632385370343464792392772051104864109916034360063928339045596353810784435313926666640532382851295822842678298180301122938618566718730242107326783353838221723324821405531849499257419595776 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) (if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 500000000000000022070259451447643889643195698691290637281503086641722198041511804637241833845925416199409849438773805515698556484214352937342799866667017096235890326785935022607598869817624603345407231591885929026416516254957774801286987505083286521920239280586752 binary64)) (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 x x) #s(literal 4000000000000000163603520835045592005144078953065187831840086853768378653967990910217448018152980789494253047391031253790526131145191623760697248746959109213501418395131774955018617058039431168 binary64)) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 x (/.f64 x y)) #s(literal -1 binary64))) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))))
(if (<=.f64 (.f64 x x) #s(literal 4253529586511731/21267647932558653966460912964485513216 binary64)) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))))
(if (<=.f64 (.f64 x x) #s(literal 4000000000000000163603520835045592005144078953065187831840086853768378653967990910217448018152980789494253047391031253790526131145191623760697248746959109213501418395131774955018617058039431168 binary64)) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

soundness708.0ms (8.7%)

Memory

28.2MiB live, 457.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	125	462
1	348	428
2	1154	388
3	6616	384
0	8267	357
0	115	440
1	326	402
2	1092	358
3	6285	354
0	8250	332
0	9	40
0	15	40
1	52	40
2	382	40
0	5623	36

Stop Event

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

Compiler

Compiled 413 to 120 computations (70.9% saved)

preprocess76.0ms (0.9%)

Memory

20.2MiB live, 92.7MiB allocated

Remove

(abs x)

(abs y)

Compiler

Compiled 1 148 to 314 computations (72.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze2.0ms (0%)

sample955.0ms (11.7%)

explain191.0ms (2.3%)

preprocess99.0ms (1.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify51.0ms (0.6%)

localize47.0ms (0.6%)

series7.0ms (0.1%)

simplify1.7s (20.3%)

rewrite270.0ms (3.3%)

eval55.0ms (0.7%)

prune13.0ms (0.2%)

simplify97.0ms (1.2%)

localize79.0ms (1%)

series19.0ms (0.2%)

simplify169.0ms (2.1%)

rewrite303.0ms (3.7%)

eval93.0ms (1.1%)

prune19.0ms (0.2%)

simplify114.0ms (1.4%)

localize147.0ms (1.8%)

series92.0ms (1.1%)

simplify237.0ms (2.9%)

rewrite342.0ms (4.2%)

eval488.0ms (6%)

prune99.0ms (1.2%)

simplify194.0ms (2.4%)

localize248.0ms (3%)

series99.0ms (1.2%)

simplify223.0ms (2.7%)

rewrite277.0ms (3.4%)

eval467.0ms (5.7%)

prune110.0ms (1.3%)

regimes48.0ms (0.6%)

regimes17.0ms (0.2%)

regimes5.0ms (0.1%)

regimes8.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch4.0ms (0%)

simplify23.0ms (0.3%)

soundness708.0ms (8.7%)

preprocess76.0ms (0.9%)

end0.0ms (0%)

Profiling