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

6.5MiB live, 6.5MiB 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)

sample850.0ms (14%)

Memory

44.3MiB live, 1 058.1MiB allocated

Samples

562.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 352.0ms

ival-mult: 199.0ms (56.6% of total)

ival-div: 70.0ms (19.9% of total)

ival-sub: 35.0ms (9.9% of total)

ival-add: 35.0ms (9.9% of total)

ival-true: 5.0ms (1.4% of total)

exact: 5.0ms (1.4% of total)

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

Bogosity

explain173.0ms (2.8%)

Memory

-20.2MiB live, 229.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
128	-	-	`(/.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	112	0
↳	`(.f64 (.f64 y #s(literal 4 binary64)) y)`	overflow	70
↳	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`	overflow	112
↳	`(*.f64 x x)`	overflow	54
↳	`(.f64 (.f64 y #s(literal 4 binary64)) y)`	overflow	70
↳	`(+.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`	overflow	112
↳	`(*.f64 x x)`	overflow	54
`/.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	16	0
↳	`(.f64 (.f64 y #s(literal 4 binary64)) y)`	underflow	67
↳	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`	underflow	16
↳	`(*.f64 x x)`	underflow	66
↳	`(.f64 (.f64 y #s(literal 4 binary64)) y)`	underflow	67
↳	`(+.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`	underflow	16
↳	`(*.f64 x x)`	underflow	66
`-.f64`	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`	nan-rescue	12	0
↳	`(*.f64 x x)`	overflow	54
↳	`(.f64 (.f64 y #s(literal 4 binary64)) y)`	overflow	70

Confusion

	Predicted +	Predicted -
+	128	0
-	0	128

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	128	0	0
-	0	0	128

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	128
1	116
2	12

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

68.0ms

512×

valid

Compiler

Compiled 176 to 40 computations (77.3% saved)

Precisions

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

ival-mult: 46.0ms (85% of total)

ival-div: 3.0ms (5.5% of total)

ival-sub: 2.0ms (3.7% of total)

ival-add: 2.0ms (3.7% of total)

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

exact: 0.0ms (0% of total)

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

preprocess198.0ms (3.2%)

Memory

10.0MiB live, 87.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	97
1	89	97
2	240	95
3	620	95
4	1743	95
5	2721	95
6	2962	95
7	2981	95
8	2996	95
9	3001	95
10	3001	95
11	3301	95
12	3437	95
13	3437	95
14	3581	95
15	4417	95
16	4417	95
0	9	19
0	15	19
1	27	19
2	56	19
3	112	19
4	215	19
5	344	19
6	511	19
7	724	19
8	1191	19
9	2211	19
10	2260	19
11	2298	19
12	2326	19
13	2326	19
0	2326	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 y (*.f64 y #s(literal 4 binary64)) (*.f64 x x)))

Symmetry

(abs y)

(abs x)

Compiler

Compiled 19 to 9 computations (52.6% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.0%	(/.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)))

Compiler

Compiled 19 to 9 computations (52.6% saved)

simplify61.0ms (1%)

Memory

-4.4MiB live, 31.1MiB 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	128	(+.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))
cost-diff	128	(-.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	27	51
2	56	51
3	112	51
4	215	51
5	344	51
6	511	51
7	724	51
8	1191	51
9	2211	51
10	2260	51
11	2298	51
12	2326	51
13	2326	51
0	2326	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 y (.f64 y #s(literal 4 binary64)) (.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 y (.f64 y #s(literal 4 binary64)))
(*.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
(+.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))
(fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))

localize40.0ms (0.7%)

Memory

-8.7MiB live, 29.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.0078125	(+.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))
accuracy	2.6953001149812352	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))
accuracy	31.453539075662505	(/.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

32.0ms

256×

valid

Compiler

Compiled 104 to 20 computations (80.8% saved)

Precisions

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

ival-mult: 5.0ms (58.3% of total)

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

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

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

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

9.0MiB live, 9.0MiB 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))

simplify260.0ms (4.3%)

Memory

-8.7MiB live, 267.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	115	420
1	319	384
2	960	338
3	4078	334
0	8269	304

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

rewrite255.0ms (4.2%)

Memory

2.9MiB live, 240.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	40
0	15	40
1	54	40
2	397	40
3	6323	40
0	8488	36

Stop Event

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

Counts

4 → 602

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 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64))) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64)))))
(.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 (fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64))) (-.f64 (fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64))) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64))) (neg.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64))))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64))) (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (*.f64 x x))))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64))))))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64)))) (neg.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (*.f64 x x))))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64))) (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 64 binary64) (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 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64))) (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))))) (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))))))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (pow.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64)))) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64))) (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64)))) #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64))) (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 64 binary64) (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 (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64)))))
(.f64 (pow.f64 (fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)) (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))))
(.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (*.f64 x x)) #s(literal 2 binary64)))
(.f64 (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64))))
(.f64 (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))))
(.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (*.f64 x x))))
(.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64))) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (.f64 y y) (*.f64 x x)))
(.f64 (fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (pow.f64 (fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64))))
(.f64 (fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (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 x y) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))))))
(.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 (pow.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64)))) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64))) (fma.f64 (pow.f64 y #s(literal 6 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))
(pow.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) #s(literal 1 binary64))
(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (fma.f64 (.f64 #s(literal 4 binary64) y) y (*.f64 x x)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) #s(literal 4 binary64))) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (.f64 (pow.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64))) (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) #s(literal 9 binary64))) (pow.f64 (fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64))) (fma.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 64 binary64)) (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 12 binary64))))
(/.f64 (.f64 (pow.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) #s(literal -1 binary64))) (fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))))
(/.f64 (.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64))) (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64)) (.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64)) (.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64)))))
(/.f64 (.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64))) (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (pow.f64 (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64)) (.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64)) (.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64)) (.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 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 2 binary64)) (pow.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))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) (/.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 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 64 binary64)) (fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 64 binary64)) (fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (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 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64)) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) #s(literal 3 binary64))) (+.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 2 binary64)) (+.f64 (pow.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))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) (/.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 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 64 binary64)) (fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 64 binary64)) (fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 64 binary64)) (fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)))))))))
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(fma.f64 (.f64 x x) (pow.f64 (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) #s(literal 2 binary64)) (neg.f64 (/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) #s(literal 2 binary64)))))
(fma.f64 (.f64 x x) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) #s(literal -1 binary64)) (.f64 (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) #s(literal -1 binary64)) (.f64 #s(literal -4 binary64) (.f64 y y))))
(fma.f64 (.f64 x x) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) #s(literal -1 binary64)) (.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -4 binary64) y) (/.f64 y (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))))))
(fma.f64 (.f64 x x) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) #s(literal -1 binary64)) (.f64 (.f64 #s(literal -4 binary64) y) (/.f64 y (fma.f64 (.f64 #s(literal 4 binary64) y) y (*.f64 x x)))))
(fma.f64 x (.f64 (/.f64 x (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 #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))))
(fma.f64 x (.f64 (/.f64 x (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)) (neg.f64 (/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 2 binary64)))))
(fma.f64 x (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) (.f64 (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) #s(literal -1 binary64)) (.f64 #s(literal -4 binary64) (*.f64 y y))))
(fma.f64 x (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) (.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -4 binary64) y) (/.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))) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.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)) #s(literal 1 binary64) (/.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 (pow.f64 y #s(literal 6 binary64)) #s(literal 64 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)) #s(literal 1 binary64) (/.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 (fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64) (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 (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64))) (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 (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (pow.f64 y #s(literal 4 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 (pow.f64 y #s(literal 6 binary64)) #s(literal 64 binary64)) (.f64 (fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (pow.f64 y #s(literal 4 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 6 binary64)) (fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (pow.f64 y #s(literal 4 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 y #s(literal 6 binary64)) #s(literal 64 binary64)) (fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (pow.f64 y #s(literal 4 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 #s(literal 0 binary64) (neg.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)))) (/.f64 (neg.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 (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 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.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 (/.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)))
(exp.f64 (.f64 (log.f64 (/.f64 (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 -1 binary64)))
(+.f64 (.f64 (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64)) (.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (fma.f64 (pow.f64 y #s(literal 6 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 y #s(literal 6 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 y #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))))) (.f64 (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64)) (.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (*.f64 x x)) (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))))))
(+.f64 (.f64 (.f64 (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) x) #s(literal 1 binary64)) (.f64 (.f64 (.f64 #s(literal -4 binary64) y) (/.f64 y (fma.f64 (.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64)) (.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64)))) (.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (*.f64 x x)) (fma.f64 (pow.f64 y #s(literal 6 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 y #s(literal 6 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 y #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64)) (.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64)))))
(+.f64 (.f64 (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) #s(literal -1 binary64)) (.f64 #s(literal -4 binary64) (.f64 y y))) (.f64 (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) x))
(+.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 (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))) (neg.f64 (/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 2 binary64)))))
(+.f64 (.f64 (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) x) (.f64 (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) #s(literal -1 binary64)) (.f64 #s(literal -4 binary64) (.f64 y y))))
(+.f64 (.f64 (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) x) (.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -4 binary64) y) (/.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 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 x))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))

eval104.0ms (1.7%)

Memory: 29.7MiB live, 147.0MiB allocated
Compiler: Compiled 24 545 to 1 557 computations (93.7% saved)

prune74.0ms (1.2%)

Memory

-39.6MiB live, 50.6MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	619	8	627
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	620	8	628

Accuracy

99.7%

Counts

628 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.0%	(fma.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))
	50.0%	(/.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)))
▶	36.2%	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (fma.f64 (.f64 x x) (/.f64 (.f64 x x) (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x))) (neg.f64 (/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64)) (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x))))))
▶	50.0%	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (fma.f64 x x (.f64 (*.f64 #s(literal 4 binary64) y) y)))
▶	52.7%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64)))
	47.9%	#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)))
▶	46.1%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
▶	53.9%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Compiler

Compiled 408 to 208 computations (49% saved)

simplify239.0ms (3.9%)

Memory

41.6MiB live, 115.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 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)) (fma.f64 (.f64 x x) (/.f64 (.f64 x x) (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x))) (neg.f64 (/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64)) (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x))))))
cost-diff	128	(neg.f64 (/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64)) (fma.f64 #s(literal -4 binary64) (.f64 y y) (*.f64 x x))))
cost-diff	128	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))
cost-diff	0	(.f64 (.f64 y #s(literal 4 binary64)) y)
cost-diff	0	(*.f64 x x)
cost-diff	0	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (fma.f64 x x (.f64 (*.f64 #s(literal 4 binary64) y) y)))
cost-diff	128	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))
cost-diff	0	(/.f64 (*.f64 x x) y)
cost-diff	0	(/.f64 #s(literal 1/2 binary64) y)
cost-diff	0	(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64))
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 (*.f64 x x) 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	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	313
0	62	311
1	115	300
2	221	298
3	425	294
4	845	294
5	2021	294
6	4447	294
7	5421	294
8	5586	294
9	5644	294
10	5661	294
11	5663	294
12	6207	294
13	6447	294
14	6447	294
15	6447	294
16	6581	280
17	6761	276
18	7284	276
0	8036	274

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))) #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 1/2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64))
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(/.f64 (*.f64 x x) y)
(*.f64 x x)
x
#s(literal -1 binary64)
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (fma.f64 x x (.f64 (*.f64 #s(literal 4 binary64) y) 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)
(fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) y))
(.f64 (.f64 #s(literal 4 binary64) y) y)
(*.f64 #s(literal 4 binary64) y)
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (fma.f64 (.f64 x x) (/.f64 (.f64 x x) (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x))) (neg.f64 (/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64)) (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x))))))
(-.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)
(fma.f64 (.f64 x x) (/.f64 (.f64 x x) (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x))) (neg.f64 (/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64)) (fma.f64 #s(literal -4 binary64) (.f64 y y) (*.f64 x x)))))
(/.f64 (.f64 x x) (fma.f64 #s(literal -4 binary64) (.f64 y y) (*.f64 x x)))
(fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x))
#s(literal -4 binary64)
(*.f64 y y)
(neg.f64 (/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64)) (fma.f64 #s(literal -4 binary64) (.f64 y y) (*.f64 x x))))
(/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64)) (fma.f64 #s(literal -4 binary64) (.f64 y y) (*.f64 x x)))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64))
(pow.f64 y #s(literal 4 binary64))
#s(literal 16 binary64)

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

localize104.0ms (1.7%)

Memory

-21.6MiB live, 170.5MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	2.6953001149812352	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))
accuracy	22.159119951602836	(/.f64 (.f64 x x) (fma.f64 #s(literal -4 binary64) (.f64 y y) (*.f64 x x)))
accuracy	31.453539075662505	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (fma.f64 (.f64 x x) (/.f64 (.f64 x x) (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x))) (neg.f64 (/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64)) (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x))))))
accuracy	32.320784373653154	(/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64)) (fma.f64 #s(literal -4 binary64) (.f64 y y) (*.f64 x x)))
accuracy	0.0	(*.f64 #s(literal 4 binary64) y)
accuracy	0.00390625	(fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) y))
accuracy	2.6953001149812352	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))
accuracy	31.453539075662505	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (fma.f64 x x (.f64 (*.f64 #s(literal 4 binary64) y) y)))
accuracy	0.0	(*.f64 x x)
accuracy	1.7194650943512968	(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64))
accuracy	6.9153692005866105	(/.f64 (*.f64 x x) y)
accuracy	28.57129199703913	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64)))
accuracy	34.50605207025428	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
accuracy	29.530002120831007	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Samples

62.0ms

256×

valid

Compiler

Compiled 626 to 73 computations (88.3% saved)

Precisions

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

ival-mult: 18.0ms (43.2% of total)

ival-div: 10.0ms (24% of total)

ival-add: 5.0ms (12% of total)

ival-neg: 3.0ms (7.2% of total)

ival-pow: 3.0ms (7.2% of total)

ival-sub: 1.0ms (2.4% of total)

exact: 1.0ms (2.4% of total)

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

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

series86.0ms (1.4%)

Memory

6.5MiB live, 68.0MiB allocated

Counts

16 → 70

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 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64))
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 (*.f64 x x) 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)) (fma.f64 x x (.f64 (*.f64 #s(literal 4 binary64) y) y)))
(*.f64 x x)
(.f64 (.f64 y #s(literal 4 binary64)) y)
(neg.f64 (/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64)) (fma.f64 #s(literal -4 binary64) (.f64 y y) (*.f64 x x))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (fma.f64 (.f64 x x) (/.f64 (.f64 x x) (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x))) (neg.f64 (/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64)) (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x))))))
(fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) y))
(*.f64 #s(literal 4 binary64) y)
(/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64)) (fma.f64 #s(literal -4 binary64) (.f64 y y) (*.f64 x x)))
(/.f64 (.f64 x x) (fma.f64 #s(literal -4 binary64) (.f64 y y) (*.f64 x x)))

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)
(* -4 (pow y 2))
(- (pow x 2) (* 4 (pow y 2)))
(pow x 2)
(* 4 (pow y 2))
(- (pow x 2) (* -4 (pow y 2)))
(- (* (pow x 2) (+ 1 (* 1/4 (/ (pow x 2) (pow y 2))))) (* -4 (pow y 2)))
(- (* (pow x 2) (+ 1 (* (pow x 2) (+ (* 1/16 (/ (pow x 2) (pow y 4))) (* 1/4 (/ 1 (pow y 2))))))) (* -4 (pow y 2)))
(+ (* 4 (pow y 2)) (pow x 2))
(+ (* -4 (pow y 2)) (* -1 (pow x 2)))
(+ (* -4 (pow y 2)) (* (pow x 2) (- (* -1/4 (/ (pow x 2) (pow y 2))) 1)))
(+ (* -4 (pow y 2)) (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (/ (pow x 2) (pow y 4))) (* 1/4 (/ 1 (pow y 2))))) 1)))
(* -1/4 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (- (* -1/16 (/ (pow x 2) (pow y 4))) (* 1/4 (/ 1 (pow y 2)))))
(* (pow x 2) (- (* (pow x 2) (- (* -1/64 (/ (pow x 2) (pow y 6))) (* 1/16 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2)))))
(* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -1/256 (/ (pow x 2) (pow y 8))) (* 1/64 (/ 1 (pow y 6))))) (* 1/16 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 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)))))
(* 1/2 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(* -16 (/ (pow y 4) (pow x 2)))
(/ (- (* -64 (/ (pow y 6) (pow x 2))) (* 16 (pow y 4))) (pow x 2))
(/ (- (* -256 (/ (pow y 8) (pow x 4))) (+ (* 16 (pow y 4)) (* 64 (/ (pow y 6) (pow x 2))))) (pow x 2))
(/ (- (* -1024 (/ (pow y 10) (pow x 6))) (+ (* 16 (pow y 4)) (+ (* 64 (/ (pow y 6) (pow x 2))) (* 256 (/ (pow y 8) (pow x 4)))))) (pow x 2))
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* -1 (/ (+ (* -1 (+ (* -16 (pow y 4)) (* 16 (pow y 4)))) (* 4 (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))))) (pow x 4))))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* -1 (/ (+ (* -4 (* (pow y 2) (+ (* -1 (+ (* -16 (pow y 4)) (* 16 (pow y 4)))) (* 4 (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))))))) (+ (* -1 (* (+ (* -16 (pow y 4)) (* 16 (pow y 4))) (- (* -4 (pow y 2)) (* 4 (pow y 2))))) (* -1 (+ (* -64 (pow y 6)) (* 64 (pow y 6)))))) (pow x 6))))) (+ (* -1 (/ (+ (* -16 (pow y 4)) (* 16 (pow y 4))) (pow x 4))) (+ (* 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)))))
(* 16 (/ (pow y 4) (pow x 2)))
(/ (+ (* 16 (pow y 4)) (* 64 (/ (pow y 6) (pow x 2)))) (pow x 2))
(/ (+ (* 16 (pow y 4)) (+ (* 64 (/ (pow y 6) (pow x 2))) (* 256 (/ (pow y 8) (pow x 4))))) (pow x 2))
(/ (+ (* 16 (pow y 4)) (+ (* 64 (/ (pow y 6) (pow x 2))) (+ (* 256 (/ (pow y 8) (pow x 4))) (* 1024 (/ (pow y 10) (pow x 6)))))) (pow x 2))
(+ 1 (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (* 16 (/ (pow y 4) (pow x 4)))) (* -4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (* 64 (/ (pow y 6) (pow x 6)))) (+ (* -16 (/ (pow y 4) (pow x 4))) (* -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))))))
(/ (+ (* -1 (pow y 2)) (* 1/2 (pow x 2))) (pow y 2))
(/ 1/2 y)
(+ (* -4 (pow y 2)) (pow x 2))
(* (pow y 4) (- (* -64 (/ (pow y 2) (pow x 4))) (* 16 (/ 1 (pow x 2)))))
(* (pow y 4) (- (* (pow y 2) (- (* -256 (/ (pow y 2) (pow x 6))) (* 64 (/ 1 (pow x 4))))) (* 16 (/ 1 (pow x 2)))))
(* (pow y 4) (- (* (pow y 2) (- (* (pow y 2) (- (* -1024 (/ (pow y 2) (pow x 8))) (* 256 (/ 1 (pow x 6))))) (* 64 (/ 1 (pow x 4))))) (* 16 (/ 1 (pow x 2)))))
(* 4 y)
(* (pow y 4) (+ (* 64 (/ (pow y 2) (pow x 4))) (* 16 (/ 1 (pow x 2)))))
(* (pow y 4) (+ (* (pow y 2) (+ (* 256 (/ (pow y 2) (pow x 6))) (* 64 (/ 1 (pow x 4))))) (* 16 (/ 1 (pow x 2)))))
(* (pow y 4) (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 1024 (/ (pow y 2) (pow x 8))) (* 256 (/ 1 (pow x 6))))) (* 64 (/ 1 (pow x 4))))) (* 16 (/ 1 (pow x 2)))))
(+ 1 (* (pow y 2) (+ (* 16 (/ (pow y 2) (pow x 4))) (* 4 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (+ (* (pow y 2) (+ (* 64 (/ (pow y 2) (pow x 6))) (* 16 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 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))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (- (+ 4 (* 1/4 (/ (pow x 4) (pow y 4)))) (* -1 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (- (+ 4 (* 1/16 (/ (pow x 6) (pow y 6)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (* -1/4 (/ (pow x 4) (pow y 4))))))
(- (+ (* -1 (/ (+ (* -1/16 (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2))))) (* 1/4 (+ (* -1/16 (pow x 6)) (* 1/16 (pow x 6))))) (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 x 2) (pow y 2))) 4))
(* (pow y 2) (- (* -1/4 (/ (pow x 4) (pow y 4))) (+ 4 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (- (* -1/16 (/ (pow x 6) (pow y 6))) (+ 4 (+ (* 1/4 (/ (pow x 4) (pow y 4))) (/ (pow x 2) (pow y 2))))))
(/ (+ (* -1/4 (pow x 2)) (* -1/16 (/ (pow x 4) (pow y 2)))) (pow y 2))
(/ (- (+ (* -1/4 (pow x 2)) (* -1/64 (/ (pow x 6) (pow y 4)))) (* 1/16 (/ (pow x 4) (pow y 2)))) (pow y 2))
(/ (- (+ (* -1/4 (pow x 2)) (* -1/256 (/ (pow x 8) (pow y 6)))) (+ (* 1/64 (/ (pow x 6) (pow y 4))) (* 1/16 (/ (pow x 4) (pow y 2))))) (pow y 2))

Calls

6 calls:

Time	Variable		Point	Expression
53.0ms	y	@	0	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ 1/2 y) (/ (* x x) y)) -1) (/ 1/2 y) (/ (* x x) y) (- (* x x) (* (* y 4) y)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) (* x x) (* (* y 4) y) (neg (/ (* (pow y 4) 16) (+ (* -4 (* y y)) (* x x)))) (/ (- (* x x) (* (* y 4) y)) (+ (* (* x x) (/ (* x x) (+ (* -4 (* y y)) (* x x)))) (neg (/ (* (pow y 4) 16) (+ (* -4 (* y y)) (* x x)))))) (+ (* x x) (* (* 4 y) y)) (* 4 y) (/ (* (pow y 4) 16) (+ (* -4 (* y y)) (* x x))) (/ (* x x) (+ (* -4 (* y y)) (* x x))))
19.0ms	y	@	inf	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ 1/2 y) (/ (* x x) y)) -1) (/ 1/2 y) (/ (* x x) y) (- (* x x) (* (* y 4) y)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) (* x x) (* (* y 4) y) (neg (/ (* (pow y 4) 16) (+ (* -4 (* y y)) (* x x)))) (/ (- (* x x) (* (* y 4) y)) (+ (* (* x x) (/ (* x x) (+ (* -4 (* y y)) (* x x)))) (neg (/ (* (pow y 4) 16) (+ (* -4 (* y y)) (* x x)))))) (+ (* x x) (* (* 4 y) y)) (* 4 y) (/ (* (pow y 4) 16) (+ (* -4 (* y y)) (* x x))) (/ (* x x) (+ (* -4 (* y y)) (* x x))))
5.0ms	x	@	inf	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ 1/2 y) (/ (* x x) y)) -1) (/ 1/2 y) (/ (* x x) y) (- (* x x) (* (* y 4) y)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) (* x x) (* (* y 4) y) (neg (/ (* (pow y 4) 16) (+ (* -4 (* y y)) (* x x)))) (/ (- (* x x) (* (* y 4) y)) (+ (* (* x x) (/ (* x x) (+ (* -4 (* y y)) (* x x)))) (neg (/ (* (pow y 4) 16) (+ (* -4 (* y y)) (* x x)))))) (+ (* x x) (* (* 4 y) y)) (* 4 y) (/ (* (pow y 4) 16) (+ (* -4 (* y y)) (* x x))) (/ (* x x) (+ (* -4 (* y y)) (* x x))))
3.0ms	x	@	0	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ 1/2 y) (/ (* x x) y)) -1) (/ 1/2 y) (/ (* x x) y) (- (* x x) (* (* y 4) y)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) (* x x) (* (* y 4) y) (neg (/ (* (pow y 4) 16) (+ (* -4 (* y y)) (* x x)))) (/ (- (* x x) (* (* y 4) y)) (+ (* (* x x) (/ (* x x) (+ (* -4 (* y y)) (* x x)))) (neg (/ (* (pow y 4) 16) (+ (* -4 (* y y)) (* x x)))))) (+ (* x x) (* (* 4 y) y)) (* 4 y) (/ (* (pow y 4) 16) (+ (* -4 (* y y)) (* x x))) (/ (* x x) (+ (* -4 (* y y)) (* x x))))
3.0ms	y	@	-inf	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ 1/2 y) (/ (* x x) y)) -1) (/ 1/2 y) (/ (* x x) y) (- (* x x) (* (* y 4) y)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) (* x x) (* (* y 4) y) (neg (/ (* (pow y 4) 16) (+ (* -4 (* y y)) (* x x)))) (/ (- (* x x) (* (* y 4) y)) (+ (* (* x x) (/ (* x x) (+ (* -4 (* y y)) (* x x)))) (neg (/ (* (pow y 4) 16) (+ (* -4 (* y y)) (* x x)))))) (+ (* x x) (* (* 4 y) y)) (* 4 y) (/ (* (pow y 4) 16) (+ (* -4 (* y y)) (* x x))) (/ (* x x) (+ (* -4 (* y y)) (* x x))))

simplify192.0ms (3.1%)

Memory

3.2MiB live, 194.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	339	1599
1	1015	1498
2	3304	1430
0	8361	1327

Stop Event

1×	iter limit
1×	node limit

Counts

70 → 70

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)
(* -4 (pow y 2))
(- (pow x 2) (* 4 (pow y 2)))
(pow x 2)
(* 4 (pow y 2))
(- (pow x 2) (* -4 (pow y 2)))
(- (* (pow x 2) (+ 1 (* 1/4 (/ (pow x 2) (pow y 2))))) (* -4 (pow y 2)))
(- (* (pow x 2) (+ 1 (* (pow x 2) (+ (* 1/16 (/ (pow x 2) (pow y 4))) (* 1/4 (/ 1 (pow y 2))))))) (* -4 (pow y 2)))
(+ (* 4 (pow y 2)) (pow x 2))
(+ (* -4 (pow y 2)) (* -1 (pow x 2)))
(+ (* -4 (pow y 2)) (* (pow x 2) (- (* -1/4 (/ (pow x 2) (pow y 2))) 1)))
(+ (* -4 (pow y 2)) (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (/ (pow x 2) (pow y 4))) (* 1/4 (/ 1 (pow y 2))))) 1)))
(* -1/4 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (- (* -1/16 (/ (pow x 2) (pow y 4))) (* 1/4 (/ 1 (pow y 2)))))
(* (pow x 2) (- (* (pow x 2) (- (* -1/64 (/ (pow x 2) (pow y 6))) (* 1/16 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2)))))
(* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -1/256 (/ (pow x 2) (pow y 8))) (* 1/64 (/ 1 (pow y 6))))) (* 1/16 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 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)))))
(* 1/2 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(* -16 (/ (pow y 4) (pow x 2)))
(/ (- (* -64 (/ (pow y 6) (pow x 2))) (* 16 (pow y 4))) (pow x 2))
(/ (- (* -256 (/ (pow y 8) (pow x 4))) (+ (* 16 (pow y 4)) (* 64 (/ (pow y 6) (pow x 2))))) (pow x 2))
(/ (- (* -1024 (/ (pow y 10) (pow x 6))) (+ (* 16 (pow y 4)) (+ (* 64 (/ (pow y 6) (pow x 2))) (* 256 (/ (pow y 8) (pow x 4)))))) (pow x 2))
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* -1 (/ (+ (* -1 (+ (* -16 (pow y 4)) (* 16 (pow y 4)))) (* 4 (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))))) (pow x 4))))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* -1 (/ (+ (* -4 (* (pow y 2) (+ (* -1 (+ (* -16 (pow y 4)) (* 16 (pow y 4)))) (* 4 (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))))))) (+ (* -1 (* (+ (* -16 (pow y 4)) (* 16 (pow y 4))) (- (* -4 (pow y 2)) (* 4 (pow y 2))))) (* -1 (+ (* -64 (pow y 6)) (* 64 (pow y 6)))))) (pow x 6))))) (+ (* -1 (/ (+ (* -16 (pow y 4)) (* 16 (pow y 4))) (pow x 4))) (+ (* 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)))))
(* 16 (/ (pow y 4) (pow x 2)))
(/ (+ (* 16 (pow y 4)) (* 64 (/ (pow y 6) (pow x 2)))) (pow x 2))
(/ (+ (* 16 (pow y 4)) (+ (* 64 (/ (pow y 6) (pow x 2))) (* 256 (/ (pow y 8) (pow x 4))))) (pow x 2))
(/ (+ (* 16 (pow y 4)) (+ (* 64 (/ (pow y 6) (pow x 2))) (+ (* 256 (/ (pow y 8) (pow x 4))) (* 1024 (/ (pow y 10) (pow x 6)))))) (pow x 2))
(+ 1 (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (* 16 (/ (pow y 4) (pow x 4)))) (* -4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (* 64 (/ (pow y 6) (pow x 6)))) (+ (* -16 (/ (pow y 4) (pow x 4))) (* -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))))))
(/ (+ (* -1 (pow y 2)) (* 1/2 (pow x 2))) (pow y 2))
(/ 1/2 y)
(+ (* -4 (pow y 2)) (pow x 2))
(* (pow y 4) (- (* -64 (/ (pow y 2) (pow x 4))) (* 16 (/ 1 (pow x 2)))))
(* (pow y 4) (- (* (pow y 2) (- (* -256 (/ (pow y 2) (pow x 6))) (* 64 (/ 1 (pow x 4))))) (* 16 (/ 1 (pow x 2)))))
(* (pow y 4) (- (* (pow y 2) (- (* (pow y 2) (- (* -1024 (/ (pow y 2) (pow x 8))) (* 256 (/ 1 (pow x 6))))) (* 64 (/ 1 (pow x 4))))) (* 16 (/ 1 (pow x 2)))))
(* 4 y)
(* (pow y 4) (+ (* 64 (/ (pow y 2) (pow x 4))) (* 16 (/ 1 (pow x 2)))))
(* (pow y 4) (+ (* (pow y 2) (+ (* 256 (/ (pow y 2) (pow x 6))) (* 64 (/ 1 (pow x 4))))) (* 16 (/ 1 (pow x 2)))))
(* (pow y 4) (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 1024 (/ (pow y 2) (pow x 8))) (* 256 (/ 1 (pow x 6))))) (* 64 (/ 1 (pow x 4))))) (* 16 (/ 1 (pow x 2)))))
(+ 1 (* (pow y 2) (+ (* 16 (/ (pow y 2) (pow x 4))) (* 4 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (+ (* (pow y 2) (+ (* 64 (/ (pow y 2) (pow x 6))) (* 16 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 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))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (- (+ 4 (* 1/4 (/ (pow x 4) (pow y 4)))) (* -1 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (- (+ 4 (* 1/16 (/ (pow x 6) (pow y 6)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (* -1/4 (/ (pow x 4) (pow y 4))))))
(- (+ (* -1 (/ (+ (* -1/16 (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2))))) (* 1/4 (+ (* -1/16 (pow x 6)) (* 1/16 (pow x 6))))) (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 x 2) (pow y 2))) 4))
(* (pow y 2) (- (* -1/4 (/ (pow x 4) (pow y 4))) (+ 4 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (- (* -1/16 (/ (pow x 6) (pow y 6))) (+ 4 (+ (* 1/4 (/ (pow x 4) (pow y 4))) (/ (pow x 2) (pow y 2))))))
(/ (+ (* -1/4 (pow x 2)) (* -1/16 (/ (pow x 4) (pow y 2)))) (pow y 2))
(/ (- (+ (* -1/4 (pow x 2)) (* -1/64 (/ (pow x 6) (pow y 4)))) (* 1/16 (/ (pow x 4) (pow y 2)))) (pow y 2))
(/ (- (+ (* -1/4 (pow x 2)) (* -1/256 (/ (pow x 8) (pow y 6)))) (+ (* 1/64 (/ (pow x 6) (pow y 4))) (* 1/16 (/ (pow x 4) (pow y 2))))) (pow y 2))

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 (*.f64 x 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 (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)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (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)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (.f64 x x) y) #s(literal -1 binary64)))
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(* -4 (pow y 2))
(.f64 #s(literal -4 binary64) (.f64 y y))
(- (pow x 2) (* 4 (pow y 2)))
(fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x))
(pow x 2)
(*.f64 x x)
(* 4 (pow y 2))
(.f64 (.f64 y y) #s(literal 4 binary64))
(- (pow x 2) (* -4 (pow y 2)))
(fma.f64 (.f64 y y) #s(literal 4 binary64) (.f64 x x))
(- (* (pow x 2) (+ 1 (* 1/4 (/ (pow x 2) (pow y 2))))) (* -4 (pow y 2)))
(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) x) y) (/.f64 x y) #s(literal 1 binary64)) (.f64 x x)))
(- (* (pow x 2) (+ 1 (* (pow x 2) (+ (* 1/16 (/ (pow x 2) (pow y 4))) (* 1/4 (/ 1 (pow y 2))))))) (* -4 (pow y 2)))
(fma.f64 (.f64 #s(literal 4 binary64) y) y (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1/4 binary64) (.f64 y y))) (.f64 x x)))
(+ (* 4 (pow y 2)) (pow x 2))
(fma.f64 (.f64 y y) #s(literal 4 binary64) (.f64 x x))
(+ (* -4 (pow y 2)) (* -1 (pow x 2)))
(neg.f64 (fma.f64 (.f64 y y) #s(literal 4 binary64) (.f64 x x)))
(+ (* -4 (pow y 2)) (* (pow x 2) (- (* -1/4 (/ (pow x 2) (pow y 2))) 1)))
(fma.f64 (.f64 #s(literal -4 binary64) y) y (.f64 (fma.f64 (/.f64 (.f64 #s(literal -1/4 binary64) x) y) (/.f64 x y) #s(literal -1 binary64)) (.f64 x x)))
(+ (* -4 (pow y 2)) (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (/ (pow x 2) (pow y 4))) (* 1/4 (/ 1 (pow y 2))))) 1)))
(fma.f64 (.f64 #s(literal -4 binary64) y) y (.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal -1/4 binary64) (.f64 y y))) (.f64 x x) #s(literal -1 binary64)) (.f64 x x)))
(* -1/4 (/ (pow x 2) (pow y 2)))
(.f64 (/.f64 (.f64 #s(literal -1/4 binary64) x) y) (/.f64 x y))
(* (pow x 2) (- (* -1/16 (/ (pow x 2) (pow y 4))) (* 1/4 (/ 1 (pow y 2)))))
(.f64 (fma.f64 #s(literal -1/16 binary64) (.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal -1/4 binary64) (.f64 y y))) (.f64 x x))
(* (pow x 2) (- (* (pow x 2) (- (* -1/64 (/ (pow x 2) (pow y 6))) (* 1/16 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2)))))
(.f64 (fma.f64 (fma.f64 #s(literal -1/64 binary64) (.f64 x (/.f64 x (pow.f64 y #s(literal 6 binary64)))) (/.f64 #s(literal -1/16 binary64) (pow.f64 y #s(literal 4 binary64)))) (.f64 x x) (/.f64 #s(literal -1/4 binary64) (.f64 y y))) (*.f64 x x))
(* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -1/256 (/ (pow x 2) (pow y 8))) (* 1/64 (/ 1 (pow y 6))))) (* 1/16 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2)))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x (/.f64 x (pow.f64 y #s(literal 8 binary64)))) #s(literal -1/256 binary64) (/.f64 #s(literal -1/64 binary64) (pow.f64 y #s(literal 6 binary64)))) (.f64 x x) (/.f64 #s(literal -1/16 binary64) (pow.f64 y #s(literal 4 binary64)))) (.f64 x x) (/.f64 #s(literal -1/4 binary64) (.f64 y y))) (.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 #s(literal -8 binary64) 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 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -8 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -4 binary64) (fma.f64 (/.f64 (.f64 #s(literal -8 binary64) y) x) (/.f64 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)))))
(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)))) (fma.f64 (/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -8 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -4 binary64) (fma.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))))
(* 1/2 (/ (pow x 2) (pow y 2)))
(.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y))
(* (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))
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(.f64 (fma.f64 (/.f64 (.f64 #s(literal -4 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x x))
(* -16 (/ (pow y 4) (pow x 2)))
(*.f64 (/.f64 #s(literal -16 binary64) x) (/.f64 (pow.f64 y #s(literal 4 binary64)) x))
(/ (- (* -64 (/ (pow y 6) (pow x 2))) (* 16 (pow y 4))) (pow x 2))
(/.f64 (fma.f64 (/.f64 #s(literal -64 binary64) x) (/.f64 (pow.f64 y #s(literal 6 binary64)) x) (.f64 #s(literal -16 binary64) (pow.f64 y #s(literal 4 binary64)))) (.f64 x x))
(/ (- (* -256 (/ (pow y 8) (pow x 4))) (+ (* 16 (pow y 4)) (* 64 (/ (pow y 6) (pow x 2))))) (pow x 2))
(/.f64 (fma.f64 (/.f64 #s(literal -64 binary64) x) (/.f64 (pow.f64 y #s(literal 6 binary64)) x) (fma.f64 #s(literal -16 binary64) (pow.f64 y #s(literal 4 binary64)) (/.f64 (.f64 #s(literal -256 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 4 binary64))))) (.f64 x x))
(/ (- (* -1024 (/ (pow y 10) (pow x 6))) (+ (* 16 (pow y 4)) (+ (* 64 (/ (pow y 6) (pow x 2))) (* 256 (/ (pow y 8) (pow x 4)))))) (pow x 2))
(/.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 10 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal -1024 binary64) (fma.f64 (/.f64 #s(literal -64 binary64) x) (/.f64 (pow.f64 y #s(literal 6 binary64)) x) (fma.f64 #s(literal -16 binary64) (pow.f64 y #s(literal 4 binary64)) (/.f64 (.f64 #s(literal -256 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 4 binary64)))))) (.f64 x x))
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* -1 (/ (+ (* -1 (+ (* -16 (pow y 4)) (* 16 (pow y 4)))) (* 4 (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))))) (pow x 4))))) (* 4 (/ (pow y 2) (pow x 2))))
(fma.f64 (/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -8 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -4 binary64) (fma.f64 (/.f64 (.f64 #s(literal -8 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)))
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* -1 (/ (+ (* -4 (* (pow y 2) (+ (* -1 (+ (* -16 (pow y 4)) (* 16 (pow y 4)))) (* 4 (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))))))) (+ (* -1 (* (+ (* -16 (pow y 4)) (* 16 (pow y 4))) (- (* -4 (pow y 2)) (* 4 (pow y 2))))) (* -1 (+ (* -64 (pow y 6)) (* 64 (pow y 6)))))) (pow x 6))))) (+ (* -1 (/ (+ (* -16 (pow y 4)) (* 16 (pow y 4))) (pow x 4))) (+ (* 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 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -8 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -4 binary64) (fma.f64 (/.f64 (.f64 #s(literal -8 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))) (/.f64 (.f64 (.f64 #s(literal -4 binary64) (.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -8 binary64)) #s(literal 4 binary64))) (*.f64 y y)) (pow.f64 x #s(literal 6 binary64))))
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(.f64 (fma.f64 (/.f64 (.f64 #s(literal 4 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x x))
(* 16 (/ (pow y 4) (pow x 2)))
(*.f64 (/.f64 #s(literal 16 binary64) x) (/.f64 (pow.f64 y #s(literal 4 binary64)) x))
(/ (+ (* 16 (pow y 4)) (* 64 (/ (pow y 6) (pow x 2)))) (pow x 2))
(/.f64 (fma.f64 (/.f64 #s(literal 64 binary64) x) (/.f64 (pow.f64 y #s(literal 6 binary64)) x) (.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64)))) (.f64 x x))
(/ (+ (* 16 (pow y 4)) (+ (* 64 (/ (pow y 6) (pow x 2))) (* 256 (/ (pow y 8) (pow x 4))))) (pow x 2))
(/.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (/.f64 #s(literal 64 binary64) x) (/.f64 (pow.f64 y #s(literal 6 binary64)) x) (/.f64 (.f64 #s(literal 256 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 4 binary64))))) (.f64 x x))
(/ (+ (* 16 (pow y 4)) (+ (* 64 (/ (pow y 6) (pow x 2))) (+ (* 256 (/ (pow y 8) (pow x 4))) (* 1024 (/ (pow y 10) (pow x 6)))))) (pow x 2))
(/.f64 (fma.f64 #s(literal 1024 binary64) (/.f64 (pow.f64 y #s(literal 10 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (/.f64 #s(literal 64 binary64) x) (/.f64 (pow.f64 y #s(literal 6 binary64)) x) (/.f64 (.f64 #s(literal 256 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 4 binary64)))))) (.f64 x x))
(+ 1 (* 4 (/ (pow y 2) (pow x 2))))
(fma.f64 (/.f64 (*.f64 #s(literal 4 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))
(- (+ 1 (* 16 (/ (pow y 4) (pow x 4)))) (* -4 (/ (pow y 2) (pow x 2))))
(fma.f64 (/.f64 (*.f64 #s(literal 4 binary64) y) x) (/.f64 y x) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
(- (+ 1 (* 64 (/ (pow y 6) (pow x 6)))) (+ (* -16 (/ (pow y 4) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2)))))
(fma.f64 (/.f64 (*.f64 #s(literal 4 binary64) y) x) (/.f64 y x) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 y #s(literal 6 binary64)) (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64))))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(fma.f64 (/.f64 (*.f64 #s(literal -8 binary64) 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 (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 (.f64 y (/.f64 y (pow.f64 x #s(literal 6 binary64)))) #s(literal -128 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))
(/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (.f64 (neg.f64 y) y)) (*.f64 y y))
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(+ (* -4 (pow y 2)) (pow x 2))
(fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x))
(* (pow y 4) (- (* -64 (/ (pow y 2) (pow x 4))) (* 16 (/ 1 (pow x 2)))))
(.f64 (fma.f64 (.f64 y (/.f64 y (pow.f64 x #s(literal 4 binary64)))) #s(literal -64 binary64) (/.f64 #s(literal -16 binary64) (*.f64 x x))) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (- (* (pow y 2) (- (* -256 (/ (pow y 2) (pow x 6))) (* 64 (/ 1 (pow x 4))))) (* 16 (/ 1 (pow x 2)))))
(.f64 (fma.f64 (fma.f64 (.f64 y (/.f64 y (pow.f64 x #s(literal 6 binary64)))) #s(literal -256 binary64) (/.f64 #s(literal -64 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 y y) (/.f64 #s(literal -16 binary64) (.f64 x x))) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (- (* (pow y 2) (- (* (pow y 2) (- (* -1024 (/ (pow y 2) (pow x 8))) (* 256 (/ 1 (pow x 6))))) (* 64 (/ 1 (pow x 4))))) (* 16 (/ 1 (pow x 2)))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 y (/.f64 y (pow.f64 x #s(literal 8 binary64)))) #s(literal -1024 binary64) (/.f64 #s(literal -256 binary64) (pow.f64 x #s(literal 6 binary64)))) (.f64 y y) (/.f64 #s(literal -64 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 y y) (/.f64 #s(literal -16 binary64) (*.f64 x x))) (pow.f64 y #s(literal 4 binary64)))
(* 4 y)
(*.f64 #s(literal 4 binary64) y)
(* (pow y 4) (+ (* 64 (/ (pow y 2) (pow x 4))) (* 16 (/ 1 (pow x 2)))))
(.f64 (fma.f64 (.f64 (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 4 binary64))) y) y (/.f64 #s(literal 16 binary64) (*.f64 x x))) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (+ (* (pow y 2) (+ (* 256 (/ (pow y 2) (pow x 6))) (* 64 (/ 1 (pow x 4))))) (* 16 (/ 1 (pow x 2)))))
(.f64 (fma.f64 (fma.f64 (.f64 (/.f64 #s(literal 256 binary64) (pow.f64 x #s(literal 6 binary64))) y) y (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 y y) (/.f64 #s(literal 16 binary64) (.f64 x x))) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 1024 (/ (pow y 2) (pow x 8))) (* 256 (/ 1 (pow x 6))))) (* 64 (/ 1 (pow x 4))))) (* 16 (/ 1 (pow x 2)))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 y (/.f64 y (pow.f64 x #s(literal 8 binary64)))) #s(literal 1024 binary64) (/.f64 #s(literal 256 binary64) (pow.f64 x #s(literal 6 binary64)))) (.f64 y y) (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 y y) (/.f64 #s(literal 16 binary64) (*.f64 x x))) (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) (+ (* 64 (/ (pow y 2) (pow x 6))) (* 16 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 y (/.f64 y (pow.f64 x #s(literal 6 binary64)))) #s(literal 64 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))
(- (* 1/4 (/ (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 (*.f64 x 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 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/4 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (.f64 x 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)) #s(literal 1/16 binary64)) (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/4 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64))))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -4 binary64)) (.f64 y y))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 4 binary64)) (.f64 y y))
(* (pow y 2) (- (+ 4 (* 1/4 (/ (pow x 4) (pow y 4)))) (* -1 (/ (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 1/4 binary64) (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 4 binary64))) (.f64 y y))
(* (pow y 2) (- (+ 4 (* 1/16 (/ (pow x 6) (pow y 6)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (* -1/4 (/ (pow x 4) (pow y 4))))))
(.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/4 binary64) (fma.f64 (/.f64 x y) (/.f64 x y) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 1/16 binary64) (pow.f64 y #s(literal 6 binary64))) #s(literal 4 binary64)))) (.f64 y y))
(- (+ (* -1 (/ (+ (* -1/16 (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2))))) (* 1/4 (+ (* -1/16 (pow x 6)) (* 1/16 (pow x 6))))) (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 (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/4 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (.f64 x x) y) #s(literal -1 binary64))) (/.f64 (.f64 (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/16 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) (pow.f64 y #s(literal 6 binary64))))
(* (pow y 2) (- (* -1 (/ (pow x 2) (pow y 2))) 4))
(.f64 (fma.f64 (/.f64 (neg.f64 x) y) (/.f64 x y) #s(literal -4 binary64)) (.f64 y y))
(* (pow y 2) (- (* -1/4 (/ (pow x 4) (pow y 4))) (+ 4 (/ (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 -1/4 binary64) (fma.f64 (/.f64 (neg.f64 x) y) (/.f64 x y) #s(literal -4 binary64))) (.f64 y y))
(* (pow y 2) (- (* -1/16 (/ (pow x 6) (pow y 6))) (+ 4 (+ (* 1/4 (/ (pow x 4) (pow y 4))) (/ (pow x 2) (pow y 2))))))
(.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal -1/16 binary64) (pow.f64 y #s(literal 6 binary64))) #s(literal -4 binary64)) (fma.f64 (/.f64 x y) (/.f64 x y) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (pow.f64 y #s(literal 4 binary64))))) (*.f64 y y))
(/ (+ (* -1/4 (pow x 2)) (* -1/16 (/ (pow x 4) (pow y 2)))) (pow y 2))
(/.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) x) x (.f64 (/.f64 #s(literal -1/16 binary64) y) (/.f64 (pow.f64 x #s(literal 4 binary64)) y))) (*.f64 y y))
(/ (- (+ (* -1/4 (pow x 2)) (* -1/64 (/ (pow x 6) (pow y 4)))) (* 1/16 (/ (pow x 4) (pow y 2)))) (pow y 2))
(/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) y) (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (fma.f64 (.f64 #s(literal -1/4 binary64) x) x (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/64 binary64)) (pow.f64 y #s(literal 4 binary64))))) (*.f64 y y))
(/ (- (+ (* -1/4 (pow x 2)) (* -1/256 (/ (pow x 8) (pow y 6)))) (+ (* 1/64 (/ (pow x 6) (pow y 4))) (* 1/16 (/ (pow x 4) (pow y 2))))) (pow y 2))
(/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/256 binary64) (fma.f64 (/.f64 #s(literal -1/16 binary64) y) (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (fma.f64 (.f64 #s(literal -1/4 binary64) x) x (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/64 binary64)) (pow.f64 y #s(literal 4 binary64)))))) (*.f64 y y))

rewrite182.0ms (3%)

Memory

-10.1MiB live, 303.4MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	218
0	62	192
1	230	185
2	1657	185
0	8465	185

Stop Event

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

Counts

16 → 697

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 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64))
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 (*.f64 x x) 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)) (fma.f64 x x (.f64 (*.f64 #s(literal 4 binary64) y) y)))
(*.f64 x x)
(.f64 (.f64 y #s(literal 4 binary64)) y)
(neg.f64 (/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64)) (fma.f64 #s(literal -4 binary64) (.f64 y y) (*.f64 x x))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (fma.f64 (.f64 x x) (/.f64 (.f64 x x) (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x))) (neg.f64 (/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64)) (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x))))))
(fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) y))
(*.f64 #s(literal 4 binary64) y)
(/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64)) (fma.f64 #s(literal -4 binary64) (.f64 y y) (*.f64 x x)))
(/.f64 (.f64 x x) (fma.f64 #s(literal -4 binary64) (.f64 y y) (*.f64 x x)))

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))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 (.f64 x x) y) y) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (+.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 (.f64 x x) y) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (/.f64 (.f64 x x) y) (.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 (.f64 x x) y) y) #s(literal 2 binary64))) (fma.f64 (/.f64 (.f64 x x) y) (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (/.f64 (.f64 x x) y) (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 (.f64 x x) y) y) #s(literal 2 binary64))) (fma.f64 (/.f64 (.f64 x x) y) (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))) (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 (.f64 x x) y) y) #s(literal 2 binary64))) (fma.f64 (/.f64 (.f64 x x) y) (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))) (fma.f64 (pow.f64 (fma.f64 (/.f64 (.f64 x x) y) (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 (.f64 x x) y) (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 (.f64 x x) y) y) #s(literal 2 binary64))) (fma.f64 (/.f64 (.f64 x x) y) (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))) (pow.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 (.f64 x x) y) y) #s(literal 2 binary64))))) (neg.f64 (-.f64 #s(literal -1 binary64) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 x y)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 (.f64 x x) y) y) #s(literal 2 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (/.f64 (.f64 x x) y) (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 (.f64 x x) y) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (/.f64 (.f64 x x) y) (*.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 (.f64 x x) y) y) #s(literal 2 binary64))) (fma.f64 (/.f64 (.f64 x x) y) (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))) (.f64 (fma.f64 (/.f64 (.f64 x x) y) (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 (/.f64 (.f64 x x) y) (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 (.f64 x x) y) y) #s(literal 2 binary64)))) (-.f64 #s(literal -1 binary64) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 x y))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 (.f64 x x) y) y) #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (/.f64 (.f64 x x) y) (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (*.f64 y y)))))
(/.f64 (neg.f64 (+.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64))) (neg.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 (.f64 x x) y) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (/.f64 (.f64 x x) y) (*.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64))))))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 (.f64 x x) y) y) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (.f64 x x) y) (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)))
(/.f64 (+.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (*.f64 y y))))
(/.f64 (+.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64)) (-.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 (.f64 x x) y) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (/.f64 (.f64 x x) y) (*.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 x y))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 (.f64 x x) y) y) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (.f64 y y))) (+.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)))))
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 x y) #s(literal -1 binary64))
(fma.f64 (.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64)) (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (pow.f64 y #s(literal -2 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64))
(fma.f64 (.f64 x x) (pow.f64 (.f64 y (*.f64 y #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64))
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(+.f64 (.f64 x x) (.f64 (*.f64 #s(literal 4 binary64) y) y))
(*.f64 #s(literal 4 binary64) y)
(*.f64 y #s(literal 4 binary64))
(.f64 (/.f64 (.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (neg.f64 x) x (.f64 (*.f64 y y) #s(literal -4 binary64))))
(.f64 (/.f64 (.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 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 16 binary64) (fma.f64 (.f64 y y) #s(literal -4 binary64) (*.f64 x x))) (pow.f64 y #s(literal 4 binary64)))
(.f64 (pow.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (.f64 (*.f64 y y) #s(literal -4 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) #s(literal -1 binary64)) (.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))))
(.f64 (.f64 #s(literal -16 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (neg.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x))) #s(literal -1 binary64)))
(.f64 (.f64 y y) (.f64 (.f64 y y) (/.f64 #s(literal 16 binary64) (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)))))
(.f64 (.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) #s(literal -1 binary64)))
(.f64 #s(literal 16 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (.f64 y y) #s(literal -4 binary64) (*.f64 x x))))
(.f64 #s(literal 16 binary64) (.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) #s(literal -1 binary64))))
(.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal 16 binary64) (fma.f64 (.f64 y y) #s(literal -4 binary64) (*.f64 x x))))
(.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 16 binary64) (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x))) (pow.f64 y #s(literal 4 binary64))))
(pow.f64 (/.f64 (/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) #s(literal 16 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))) (neg.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x))))
(/.f64 (neg.f64 (neg.f64 (.f64 #s(literal -16 binary64) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (*.f64 x x))))))
(/.f64 (.f64 (.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)))
(/.f64 (neg.f64 (.f64 #s(literal -16 binary64) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (*.f64 x x)))))
(/.f64 (.f64 #s(literal -16 binary64) (pow.f64 y #s(literal 4 binary64))) (neg.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (*.f64 x x))))
(/.f64 (.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (.f64 y y) #s(literal -4 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (.f64 (.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) #s(literal 16 binary64)) (pow.f64 y #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) #s(literal 16 binary64)) (pow.f64 y #s(literal 4 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) #s(literal 16 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(neg.f64 (/.f64 (.f64 #s(literal -16 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (.f64 y y) #s(literal -4 binary64) (*.f64 x x))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)))) (/.f64 (.f64 #s(literal -16 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (.f64 y y) #s(literal -4 binary64) (*.f64 x x))))
(exp.f64 (.f64 (log.f64 (/.f64 (/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (*.f64 x x)) #s(literal 16 binary64)) (pow.f64 y #s(literal 4 binary64)))) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 x x) (fma.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 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 x x) (-.f64 (.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (neg.f64 x) x (.f64 (*.f64 y y) #s(literal -4 binary64))))
(.f64 (/.f64 x (fma.f64 (.f64 y y) #s(literal -4 binary64) (*.f64 x x))) x)
(.f64 (pow.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (*.f64 x x)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) #s(literal -1 binary64)) (.f64 x x))
(.f64 (.f64 (neg.f64 x) x) (pow.f64 (neg.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x))) #s(literal -1 binary64)))
(.f64 (.f64 x x) (pow.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (/.f64 x (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x))) x))
(.f64 x (/.f64 x (fma.f64 (.f64 y y) #s(literal -4 binary64) (*.f64 x x))))
(pow.f64 (.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (*.f64 x x)) (pow.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (.f64 (neg.f64 x) x))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (*.f64 x x))))))
(/.f64 (neg.f64 (.f64 (.f64 x x) #s(literal 1 binary64))) (neg.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x))))
(/.f64 (neg.f64 (.f64 (neg.f64 x) x)) (neg.f64 (neg.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (*.f64 x x)))))
(/.f64 (.f64 (.f64 x x) #s(literal 1 binary64)) (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)))
(/.f64 (.f64 (neg.f64 x) x) (neg.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (*.f64 x x))))
(/.f64 (.f64 x x) (fma.f64 (.f64 y y) #s(literal -4 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (.f64 (.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (*.f64 x x)) (pow.f64 x #s(literal -2 binary64))))))
(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (*.f64 x x)) (pow.f64 x #s(literal -2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (*.f64 x x)) (pow.f64 x #s(literal -2 binary64)))))
(neg.f64 (/.f64 (.f64 (neg.f64 x) x) (fma.f64 (.f64 y y) #s(literal -4 binary64) (*.f64 x x))))
(neg.f64 (/.f64 (.f64 x x) (neg.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (*.f64 x x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)))) (/.f64 (.f64 x x) (neg.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (*.f64 x x)))))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (pow.f64 x #s(literal -2 binary64)))) #s(literal -1 binary64)))

eval148.0ms (2.4%)

Memory: 25.6MiB live, 223.3MiB allocated
Compiler: Compiled 42 114 to 2 864 computations (93.2% saved)

prune61.0ms (1%)

Memory

-16.0MiB live, 64.0MiB allocated

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	790	6	796
Fresh	2	1	3
Picked	3	2	5
Done	0	0	0
Total	795	9	804

Accuracy

99.8%

Counts

804 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.0%	(fma.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))
▶	50.0%	(/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) y)))
▶	34.5%	(/.f64 #s(approx (- (* x x) (* (* y 4) y)) (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -4 binary64)) (.f64 y y))) (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) y)))
▶	47.9%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)))
▶	55.3%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)))
▶	49.7%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x x) (.f64 y y)) #s(literal -1 binary64)))
	51.9%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 (.f64 x x) y) y) #s(literal 2 binary64)))) (-.f64 #s(literal -1 binary64) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 x y)))))
✓	46.1%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
✓	53.9%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Compiler

Compiled 460 to 254 computations (44.8% saved)

simplify97.0ms (1.6%)

Memory

14.1MiB live, 129.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -4 binary64))
cost-diff	0	#s(approx (- (* x x) (* (* y 4) y)) (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -4 binary64)) (.f64 y y)))
cost-diff	0	(/.f64 #s(approx (- (* x x) (* (* y 4) y)) (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -4 binary64)) (.f64 y y))) (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) y)))
cost-diff	1408	(.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -4 binary64)) (.f64 y y))
cost-diff	0	(fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) y))
cost-diff	0	(*.f64 x x)
cost-diff	0	(*.f64 y y)
cost-diff	0	(fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x))
cost-diff	0	(*.f64 #s(literal -8 binary64) y)
cost-diff	0	(/.f64 (*.f64 #s(literal -8 binary64) y) x)
cost-diff	0	(fma.f64 (/.f64 (*.f64 #s(literal -8 binary64) 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 (*.f64 #s(literal -8 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)))
cost-diff	0	(*.f64 y y)
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x x) (.f64 y y)) #s(literal -1 binary64))
cost-diff	0	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x x) (.f64 y y)) #s(literal -1 binary64)))
cost-diff	0	(*.f64 (/.f64 x y) x)
cost-diff	0	(/.f64 #s(literal 1/2 binary64) y)
cost-diff	0	(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (/.f64 x 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 1/2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)))

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	38	317
0	64	310
1	116	305
2	201	305
3	343	305
4	597	303
5	1063	297
6	1972	297
7	4035	297
8	6386	297
0	8471	297

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

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

localize142.0ms (2.3%)

Memory

-4.9MiB live, 114.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) y))
accuracy	0.08041000976844201	(fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -4 binary64))
accuracy	13.422528848820216	(.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -4 binary64)) (.f64 y y))
accuracy	31.453539075662505	(/.f64 #s(approx (- (* x x) (* (* y 4) y)) (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -4 binary64)) (.f64 y y))) (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) y)))
accuracy	0.0	(*.f64 #s(literal 4 binary64) y)
accuracy	0.00390625	(fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) y))
accuracy	2.6953001149812352	(fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x))
accuracy	31.453539075662505	(/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) y)))
accuracy	0.0	(/.f64 y x)
accuracy	0.0	(*.f64 #s(literal -8 binary64) y)
accuracy	0.08822250976844202	(fma.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))
accuracy	33.32704576752844	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)))
accuracy	0.0	(*.f64 y y)
accuracy	0.0	(*.f64 x x)
accuracy	15.215679629709872	(/.f64 (.f64 x x) (.f64 y y))
accuracy	28.57129199703913	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x x) (.f64 y y)) #s(literal -1 binary64)))
accuracy	0.0	(/.f64 #s(literal 1/2 binary64) y)
accuracy	0.1328125	(*.f64 (/.f64 x y) x)
accuracy	1.7194650943512968	(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64))
accuracy	28.57129199703913	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)))

Samples

85.0ms

256×

valid

Compiler

Compiled 588 to 79 computations (86.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

ival-mult: 38.0ms (56.7% of total)

ival-div: 11.0ms (16.4% of total)

ival-sub: 9.0ms (13.4% of total)

ival-add: 7.0ms (10.5% of total)

exact: 1.0ms (1.5% of total)

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

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

series29.0ms (0.5%)

Memory

-17.5MiB live, 20.5MiB allocated

Counts

22 → 42

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

Calls

6 calls:

Time	Variable		Point	Expression
12.0ms	y	@	-inf	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ 1/2 y) (* (/ x y) x)) -1) (/ 1/2 y) (* (/ x y) x) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* 1/2 (/ (* x x) (* y y))) -1) (* x x) (* y y) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ (* -8 y) x) (/ y x)) 1) (/ (* -8 y) x) (* -8 y) (+ (* (* y y) -4) (* x x)) (+ (* x x) (* (* 4 y) y)) (* (+ (* (/ x y) (/ x y)) -4) (* y y)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) (- (* x x) (* (* y 4) y)) (+ (* (/ x y) (/ x y)) -4) (/ (* x x) (* y y)) (/ y x) (/ (+ (* (* y y) -4) (* x x)) (+ (* x x) (* (* 4 y) y))) (* 4 y))
5.0ms	x	@	0	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ 1/2 y) (* (/ x y) x)) -1) (/ 1/2 y) (* (/ x y) x) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* 1/2 (/ (* x x) (* y y))) -1) (* x x) (* y y) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ (* -8 y) x) (/ y x)) 1) (/ (* -8 y) x) (* -8 y) (+ (* (* y y) -4) (* x x)) (+ (* x x) (* (* 4 y) y)) (* (+ (* (/ x y) (/ x y)) -4) (* y y)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) (- (* x x) (* (* y 4) y)) (+ (* (/ x y) (/ x y)) -4) (/ (* x x) (* y y)) (/ y x) (/ (+ (* (* y y) -4) (* x x)) (+ (* x x) (* (* 4 y) y))) (* 4 y))
3.0ms	y	@	inf	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ 1/2 y) (* (/ x y) x)) -1) (/ 1/2 y) (* (/ x y) x) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* 1/2 (/ (* x x) (* y y))) -1) (* x x) (* y y) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ (* -8 y) x) (/ y x)) 1) (/ (* -8 y) x) (* -8 y) (+ (* (* y y) -4) (* x x)) (+ (* x x) (* (* 4 y) y)) (* (+ (* (/ x y) (/ x y)) -4) (* y y)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) (- (* x x) (* (* y 4) y)) (+ (* (/ x y) (/ x y)) -4) (/ (* x x) (* y y)) (/ y x) (/ (+ (* (* y y) -4) (* x x)) (+ (* x x) (* (* 4 y) y))) (* 4 y))
3.0ms	y	@	0	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ 1/2 y) (* (/ x y) x)) -1) (/ 1/2 y) (* (/ x y) x) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* 1/2 (/ (* x x) (* y y))) -1) (* x x) (* y y) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ (* -8 y) x) (/ y x)) 1) (/ (* -8 y) x) (* -8 y) (+ (* (* y y) -4) (* x x)) (+ (* x x) (* (* 4 y) y)) (* (+ (* (/ x y) (/ x y)) -4) (* y y)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) (- (* x x) (* (* y 4) y)) (+ (* (/ x y) (/ x y)) -4) (/ (* x x) (* y y)) (/ y x) (/ (+ (* (* y y) -4) (* x x)) (+ (* x x) (* (* 4 y) y))) (* 4 y))
3.0ms	x	@	inf	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ 1/2 y) (* (/ x y) x)) -1) (/ 1/2 y) (* (/ x y) x) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* 1/2 (/ (* x x) (* y y))) -1) (* x x) (* y y) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ (* -8 y) x) (/ y x)) 1) (/ (* -8 y) x) (* -8 y) (+ (* (* y y) -4) (* x x)) (+ (* x x) (* (* 4 y) y)) (* (+ (* (/ x y) (/ x y)) -4) (* y y)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) (- (* x x) (* (* y 4) y)) (+ (* (/ x y) (/ x y)) -4) (/ (* x x) (* y y)) (/ y x) (/ (+ (* (* y y) -4) (* x x)) (+ (* x x) (* (* 4 y) y))) (* 4 y))

simplify241.0ms (4%)

Memory

16.5MiB live, 167.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	136	550
1	366	524
2	1081	472
3	4481	454
0	8787	417

Stop Event

1×	iter limit
1×	node limit

Counts

42 → 42

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)
(pow x 2)
(* -8 (/ (pow y 2) (pow x 2)))
(/ (+ (* -8 (pow y 2)) (pow x 2)) (pow x 2))
(* -8 (/ y x))
(* -4 (pow y 2))
(+ (* -4 (pow y 2)) (pow x 2))
(* 4 (pow y 2))
(+ (* 4 (pow y 2)) (pow x 2))
(- (pow x 2) (* 4 (pow y 2)))
-4
(- (/ (pow x 2) (pow y 2)) 4)
(/ (pow x 2) (pow y 2))
(/ y x)
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)))))
(* 1/2 (/ (pow x 2) (pow y 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)))))
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (- (/ 1 (pow y 2)) (* 4 (/ 1 (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))
(/ 1/2 y)
(pow y 2)
(* -8 y)
(/ (+ (* -4 (pow y 2)) (pow x 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))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))

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

rewrite312.0ms (5.1%)

Memory

11.0MiB live, 300.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	261
0	64	252
1	261	239
2	1861	237
0	9382	235

Stop Event

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

Counts

22 → 773

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

Outputs
#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 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 y x) #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 -1 binary64)))
(.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal -6 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 y x) #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 -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 y x) #s(literal -4 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 y x) #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 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal -6 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 y x) #s(literal -4 binary64))))) (neg.f64 (-.f64 #s(literal -1 binary64) (.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 y x) #s(literal -4 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal -6 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 y x) #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 (-.f64 (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 y x) #s(literal -4 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 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (.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 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 y x) #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 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 y x) #s(literal -4 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal -6 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 y x) #s(literal -4 binary64))) (.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal -6 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 y x) #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 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 y x) #s(literal -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 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal -6 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 y x) #s(literal -4 binary64))) (.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal -6 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 y x) #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 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 y x) #s(literal -4 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 y x) #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 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal -6 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 y x) #s(literal -4 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 y x) #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 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal -6 binary64)) #s(literal -1 binary64)))))
(fma.f64 (/.f64 (*.f64 (/.f64 x y) x) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) y) #s(literal -1 binary64))
(fma.f64 (/.f64 (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (.f64 y y)) #s(literal -1 binary64))
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64))
(fma.f64 (/.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 y y)) #s(literal -1 binary64))
(fma.f64 (/.f64 (*.f64 (neg.f64 x) x) y) (/.f64 #s(literal -1/2 binary64) y) #s(literal -1 binary64))
(fma.f64 (/.f64 (*.f64 x x) (neg.f64 y)) (/.f64 #s(literal -1/2 binary64) y) #s(literal -1 binary64))
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 x y) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 (neg.f64 x) x) y) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 x x) (neg.f64 y)) #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x (pow.f64 y #s(literal -2 binary64))) #s(literal -1 binary64))
(fma.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) (/.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (.f64 (.f64 (/.f64 x y) x) #s(literal 1/2 binary64)) (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (pow.f64 y #s(literal -2 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) (/.f64 x #s(literal 2 binary64))) x #s(literal -1 binary64))
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (neg.f64 x) y) (/.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))
(fma.f64 (.f64 x x) (.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 (/.f64 x y) x) (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 2 binary64)) #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) (/.f64 (/.f64 x y) #s(literal 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 (/.f64 x y) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #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) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 x (.f64 (.f64 x (pow.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(fma.f64 x (*.f64 (pow.f64 y #s(literal -2 binary64)) (/.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 y x) #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 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 y x) #s(literal -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 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)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (pow.f64 (neg.f64 y) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64)))
(pow.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (neg.f64 (neg.f64 y))))
(/.f64 #s(literal -1/2 binary64) (neg.f64 y))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 y #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 y #s(literal 2 binary64))))
(/.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))
(exp.f64 (.f64 (log.f64 (.f64 y #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 x (pow.f64 (neg.f64 x) #s(literal -1 binary64))) (pow.f64 (neg.f64 y) #s(literal -1 binary64)))
(*.f64 (/.f64 x (pow.f64 x #s(literal -1 binary64))) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal -1 binary64))) (/.f64 x (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) (/.f64 x y))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 x (neg.f64 y)) (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal -1 binary64))))
(*.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 x (pow.f64 (neg.f64 x) #s(literal -1 binary64))))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x y))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x (pow.f64 x #s(literal -1 binary64))))
(.f64 #s(literal 1 binary64) (.f64 (/.f64 x y) x))
(.f64 (.f64 x x) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(pow.f64 (/.f64 y (*.f64 x x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (neg.f64 (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) x)) (neg.f64 (neg.f64 y)))
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 y x))
(/.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 y x))
(/.f64 (*.f64 (neg.f64 x) x) (neg.f64 y))
(/.f64 (neg.f64 x) (neg.f64 (/.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x x)))
(/.f64 (*.f64 x x) y)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 x x))))
(/.f64 x (/.f64 y x))
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(fma.f64 (/.f64 x (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64))))) (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) (neg.f64 (.f64 (.f64 #s(literal 4 binary64) y) (/.f64 y (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))))))
(fma.f64 (/.f64 x (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64))) (fma.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))) (/.f64 x (fma.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (.f64 (.f64 #s(literal 4 binary64) y) (/.f64 y (fma.f64 (.f64 #s(literal 4 binary64) y) y (*.f64 x x))))))
(fma.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64)))) (/.f64 x (pow.f64 (fma.f64 (.f64 #s(literal -4 binary64) y) y (.f64 x x)) #s(literal -1 binary64))) (neg.f64 (.f64 (.f64 #s(literal 4 binary64) y) (/.f64 y (fma.f64 (.f64 #s(literal 4 binary64) y) y (*.f64 x x))))))
(fma.f64 (/.f64 x (fma.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 x (pow.f64 (fma.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) (-.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) (neg.f64 (.f64 (.f64 #s(literal 4 binary64) y) (/.f64 y (fma.f64 (.f64 #s(literal 4 binary64) y) y (*.f64 x x))))))
(fma.f64 (/.f64 (.f64 x x) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64)))) (fma.f64 (.f64 #s(literal -4 binary64) y) y (.f64 x x)) (neg.f64 (.f64 (.f64 #s(literal 4 binary64) y) (/.f64 y (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))))))
(fma.f64 (/.f64 (.f64 x x) (fma.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) (-.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (.f64 (.f64 #s(literal 4 binary64) y) (/.f64 y (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))))))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) (neg.f64 (.f64 (.f64 #s(literal 4 binary64) y) (/.f64 y (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))))))
(fma.f64 #s(literal 1 binary64) (.f64 x (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)))) (neg.f64 (.f64 (.f64 #s(literal 4 binary64) y) (/.f64 y (fma.f64 (.f64 #s(literal 4 binary64) y) y (*.f64 x x))))))
(fma.f64 (.f64 x x) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) #s(literal -1 binary64)) (neg.f64 (.f64 (.f64 #s(literal 4 binary64) y) (/.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))) (neg.f64 (.f64 (.f64 #s(literal 4 binary64) y) (/.f64 y (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))))))
(-.f64 (/.f64 (pow.f64 (.f64 x (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)))) #s(literal 2 binary64)) (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 (pow.f64 (.f64 (.f64 #s(literal 4 binary64) y) (/.f64 y (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)))) #s(literal 2 binary64)) (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 6 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (.f64 #s(literal 4 binary64) y) (/.f64 y (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)))) #s(literal 2 binary64)) (.f64 (.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 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (.f64 #s(literal 4 binary64) y) (/.f64 y (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)))) #s(literal 2 binary64)) (.f64 (.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 (.f64 x x) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) #s(literal 2 binary64))) (/.f64 (.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) (.f64 (.f64 #s(literal 4 binary64) 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 4 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 2 binary64))))
(-.f64 (/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64)) (.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) (fma.f64 (neg.f64 x) x (.f64 #s(literal -4 binary64) (.f64 y y))))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) (fma.f64 (neg.f64 x) x (.f64 #s(literal -4 binary64) (*.f64 y y))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) (fma.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64))) (.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) (fma.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) (fma.f64 (.f64 #s(literal 4 binary64) y) y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (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 y #s(literal 4 binary64)) #s(literal 16 binary64)) (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)) (fma.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (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))) (fma.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (.f64 #s(literal 4 binary64) y) y (*.f64 x x))))
(-.f64 (/.f64 (.f64 #s(literal -16 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (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 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (.f64 #s(literal -4 binary64) (.f64 y y)))) (fma.f64 (.f64 #s(literal 4 binary64) y) y (*.f64 x x))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 x) x (.f64 #s(literal -4 binary64) (.f64 y y)))) (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) y) y (.f64 x x)) (fma.f64 (neg.f64 x) x (.f64 #s(literal -4 binary64) (.f64 y y)))))
(-.f64 (.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)))))
(exp.f64 (.f64 (log.f64 (/.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)))) #s(literal -1 binary64)))
(+.f64 (.f64 x (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)))) (neg.f64 (.f64 (.f64 #s(literal 4 binary64) y) (/.f64 y (fma.f64 (.f64 #s(literal 4 binary64) y) y (*.f64 x x))))))
(*.f64 #s(literal 4 binary64) y)
(*.f64 y #s(literal 4 binary64))

eval102.0ms (1.7%)

Memory: -15.9MiB live, 293.4MiB allocated
Compiler: Compiled 29 371 to 2 583 computations (91.2% saved)

prune16.0ms (0.3%)

Memory

22.7MiB live, 61.9MiB allocated

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	819	1	820
Fresh	0	2	2
Picked	0	5	5
Done	0	2	2
Total	819	10	829

Accuracy

99.8%

Counts

829 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.0%	(fma.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))
✓	50.0%	(/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) y)))
✓	34.5%	(/.f64 #s(approx (- (* x x) (* (* y 4) y)) (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -4 binary64)) (.f64 y y))) (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) y)))
✓	47.9%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)))
✓	55.3%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)))
▶	44.4%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 #s(literal -8 binary64) y) (/.f64 y (.f64 x x)) #s(literal 1 binary64)))
✓	49.7%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x x) (.f64 y y)) #s(literal -1 binary64)))
▶	51.9%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 (.f64 x x) y) y) #s(literal 2 binary64)))) (-.f64 #s(literal -1 binary64) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 x y)))))
✓	46.1%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
✓	53.9%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Compiler

Compiled 281 to 154 computations (45.2% saved)

simplify192.0ms (3.1%)

Memory

-20.9MiB live, 264.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
cost-diff	0	(/.f64 y (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)))
cost-diff	0	(*.f64 #s(literal -4 binary64) y)
cost-diff	1728	(fma.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))
cost-diff	0	(/.f64 y (*.f64 x x))
cost-diff	0	(*.f64 #s(literal -8 binary64) y)
cost-diff	0	(fma.f64 (.f64 #s(literal -8 binary64) y) (/.f64 y (.f64 x 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) y) (/.f64 y (.f64 x x)) #s(literal 1 binary64)))
cost-diff	0	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 (.f64 x x) y) y) #s(literal 2 binary64)))) (-.f64 #s(literal -1 binary64) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 x y)))))
cost-diff	128	(-.f64 #s(literal -1 binary64) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 x y)))
cost-diff	128	(-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 (.f64 x x) y) y) #s(literal 2 binary64))))
cost-diff	1024	(pow.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 2 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	290
0	66	288
1	129	288
2	263	280
3	688	280
4	2208	260
5	4382	260
6	7428	260
0	8201	251

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

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

localize129.0ms (2.1%)

Memory

-9.3MiB live, 152.8MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.11328125	(fma.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))
accuracy	1.131951991735299	(.f64 (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) y) y (*.f64 x x))) x)
accuracy	18.67164683439621	(/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)))
accuracy	20.060705314296545	(/.f64 y (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)))
accuracy	0.0	(*.f64 #s(literal -8 binary64) y)
accuracy	1.434774954958384	(fma.f64 (.f64 #s(literal -8 binary64) y) (/.f64 y (.f64 x x)) #s(literal 1 binary64))
accuracy	6.939346381904714	(/.f64 y (*.f64 x x))
accuracy	33.32704576752844	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 #s(literal -8 binary64) y) (/.f64 y (.f64 x x)) #s(literal 1 binary64)))
accuracy	2.8169511811494736	(/.f64 (/.f64 (*.f64 x x) y) y)
accuracy	6.9153692005866105	(/.f64 (*.f64 x x) y)
accuracy	18.064435416394357	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 (.f64 x x) y) y) #s(literal 2 binary64)))) (-.f64 #s(literal -1 binary64) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 x y))))
accuracy	28.57129199703913	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 (.f64 x x) y) y) #s(literal 2 binary64)))) (-.f64 #s(literal -1 binary64) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 x y)))))

Samples

85.0ms

256×

valid

Compiler

Compiled 553 to 83 computations (85% saved)

Precisions

Click to see histograms. Total time spent on operations: 69.0ms

ival-div: 38.0ms (55.1% of total)

ival-mult: 20.0ms (29% of total)

ival-add: 4.0ms (5.8% of total)

ival-sub: 3.0ms (4.3% of total)

ival-pow2: 3.0ms (4.3% of total)

exact: 1.0ms (1.4% of total)

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

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

series37.0ms (0.6%)

Memory

29.5MiB live, 64.0MiB allocated

Counts

17 → 88

Calls

Call 1

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

Outputs
(/ (pow x 4) (pow y 4))
1
(+ 1 (* -1/4 (/ (pow x 4) (pow y 4))))
-1
(- (* -1/2 (/ (pow x 2) (pow y 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)
(* -8 (/ (pow y 2) (pow x 2)))
(/ (+ (* -8 (pow y 2)) (pow x 2)) (pow x 2))
(/ y (pow x 2))
(/ 1/4 y)
(+ (* -1/16 (/ (pow x 2) (pow y 3))) (* 1/4 (/ 1 y)))
(+ (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow y 5))) (* 1/16 (/ 1 (pow y 3))))) (* 1/4 (/ 1 y)))
(+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/256 (/ (pow x 2) (pow y 7))) (* 1/64 (/ 1 (pow y 5))))) (* 1/16 (/ 1 (pow y 3))))) (* 1/4 (/ 1 y)))
(* 4 (pow y 2))
(+ (* 4 (pow y 2)) (pow x 2))
(/ (pow x 2) y)
(/ (pow x 2) (pow y 2))
(* 1/4 (/ x (pow y 2)))
(* x (+ (* -1/16 (/ (pow x 2) (pow y 4))) (* 1/4 (/ 1 (pow y 2)))))
(* x (+ (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow y 6))) (* 1/16 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2)))))
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/256 (/ (pow x 2) (pow y 8))) (* 1/64 (/ 1 (pow y 6))))) (* 1/16 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2)))))
(* 1/4 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (+ (* -1/16 (/ (pow x 2) (pow y 4))) (* 1/4 (/ 1 (pow y 2)))))
(* (pow x 2) (+ (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow y 6))) (* 1/16 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2)))))
(* (pow x 2) (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/256 (/ (pow x 2) (pow y 8))) (* 1/64 (/ 1 (pow y 6))))) (* 1/16 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2)))))
(* -1/4 (/ (pow x 4) (pow y 4)))
(* (pow x 4) (- (/ 1 (pow x 4)) (* 1/4 (/ 1 (pow y 4)))))
(* -1/2 (/ (pow x 2) (pow y 2)))
(* -1 (* (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)))))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (pow y 4) (pow x 4))))) (+ (* -16 (/ (pow y 4) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
(- (+ 1 (+ (* -64 (/ (pow y 6) (pow x 6))) (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (pow y 4) (pow x 4)))))) (+ (* -16 (/ (pow y 4) (pow x 4))) (+ (* 4 (/ (pow y 2) (pow x 2))) (* 64 (/ (pow y 6) (pow x 6))))))
(/ (+ y (* -4 (/ (pow y 3) (pow x 2)))) (pow x 2))
(/ (- (+ y (* 16 (/ (pow y 5) (pow x 4)))) (* 4 (/ (pow y 3) (pow x 2)))) (pow x 2))
(/ (- (+ y (* -64 (/ (pow y 7) (pow x 6)))) (+ (* -16 (/ (pow y 5) (pow x 4))) (* 4 (/ (pow y 3) (pow x 2))))) (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(* 1/2 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))
(/ 1 x)
(/ (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) x)
(/ (- (+ 1 (* 16 (/ (pow y 4) (pow x 4)))) (* 4 (/ (pow y 2) (pow x 2)))) x)
(/ (- (+ 1 (* -64 (/ (pow y 6) (pow x 6)))) (+ (* -16 (/ (pow y 4) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2))))) x)
(+ 1 (* -4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (* 16 (/ (pow y 4) (pow x 4)))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (* -64 (/ (pow y 6) (pow x 6)))) (+ (* -16 (/ (pow y 4) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
(* -1 (/ (- (* 4 (/ (pow y 2) (pow x 2))) 1) x))
(* -1 (/ (- (* -16 (/ (pow y 4) (pow x 4))) (+ 1 (* -4 (/ (pow y 2) (pow x 2))))) x))
(* -1 (/ (- (* 64 (/ (pow y 6) (pow x 6))) (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (pow y 4) (pow x 4)))))) x))
(/ (- (pow y 4) (* 1/4 (pow x 4))) (pow y 4))
(/ (- (* -1 (pow y 2)) (* 1/2 (pow x 2))) (pow y 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))))))
(* -8 y)
(* -4 y)
(* y (+ (* -4 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 2))))
(* y (+ (* (pow y 2) (- (* 16 (/ (pow y 2) (pow x 6))) (* 4 (/ 1 (pow x 4))))) (/ 1 (pow x 2))))
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -64 (/ (pow y 2) (pow x 8))) (* 16 (/ 1 (pow x 6))))) (* 4 (/ 1 (pow x 4))))) (/ 1 (pow x 2))))
(/ (+ (* -1 (pow y 2)) (* 1/2 (pow x 2))) (pow y 2))
(+ (* -4 (/ (pow y 2) (pow x 3))) (/ 1 x))
(+ (* (pow y 2) (- (* 16 (/ (pow y 2) (pow x 5))) (* 4 (/ 1 (pow x 3))))) (/ 1 x))
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -64 (/ (pow y 2) (pow x 7))) (* 16 (/ 1 (pow x 5))))) (* 4 (/ 1 (pow x 3))))) (/ 1 x))
(+ 1 (* (pow y 2) (- (* 16 (/ (pow y 2) (pow x 4))) (* 4 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -64 (/ (pow y 2) (pow x 6))) (* 16 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 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) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))
(- (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* 1/32 (/ (pow x 6) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/8 (/ (pow x 4) (pow y 4))))))
(/ (+ 1/4 (* -1/16 (/ (pow x 2) (pow y 2)))) y)
(/ (- (+ 1/4 (* 1/64 (/ (pow x 4) (pow y 4)))) (* 1/16 (/ (pow x 2) (pow y 2)))) y)
(/ (- (+ 1/4 (* -1/256 (/ (pow x 6) (pow y 6)))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/16 (/ (pow x 2) (pow y 2))))) y)
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(/ (+ (* -1/16 (/ (pow x 3) (pow y 2))) (* 1/4 x)) (pow y 2))
(/ (- (+ (* 1/64 (/ (pow x 5) (pow y 4))) (* 1/4 x)) (* 1/16 (/ (pow x 3) (pow y 2)))) (pow y 2))
(/ (- (+ (* -1/256 (/ (pow x 7) (pow y 6))) (* 1/4 x)) (+ (* -1/64 (/ (pow x 5) (pow y 4))) (* 1/16 (/ (pow x 3) (pow y 2))))) (pow y 2))
(/ (+ (* -1/16 (/ (pow x 4) (pow y 2))) (* 1/4 (pow x 2))) (pow y 2))
(/ (- (+ (* 1/64 (/ (pow x 6) (pow y 4))) (* 1/4 (pow x 2))) (* 1/16 (/ (pow x 4) (pow y 2)))) (pow y 2))
(/ (- (+ (* -1/256 (/ (pow x 8) (pow y 6))) (* 1/4 (pow x 2))) (+ (* -1/64 (/ (pow x 6) (pow y 4))) (* 1/16 (/ (pow x 4) (pow y 2))))) (pow y 2))
(* -1 (/ (- (* 1/16 (/ (pow x 2) (pow y 2))) 1/4) y))
(* -1 (/ (- (* -1/64 (/ (pow x 4) (pow y 4))) (+ 1/4 (* -1/16 (/ (pow x 2) (pow y 2))))) y))
(* -1 (/ (- (* 1/256 (/ (pow x 6) (pow y 6))) (+ 1/4 (+ (* -1/16 (/ (pow x 2) (pow y 2))) (* 1/64 (/ (pow x 4) (pow y 4)))))) y))

Calls

6 calls:

Time	Variable		Point	Expression
9.0ms	y	@	inf	((pow (/ (/ (* x x) y) y) 2) (- 1 (* 1/4 (pow (/ (/ (* x x) y) y) 2))) (- -1 (* (* (/ 1/2 y) x) (/ x y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (* -8 y) (/ y (* x x))) 1) (* -8 y) (/ y (* x x)) (+ (* (* -4 y) (/ y (+ (* (* 4 y) y) (* x x)))) (* (/ x (+ (* (* 4 y) y) (* x x))) x)) (* -4 y) (/ y (+ (* (* 4 y) y) (* x x))) (+ (* (* 4 y) y) (* x x)) (/ (- 1 (* 1/4 (pow (/ (/ (* x x) y) y) 2))) (- -1 (* (* (/ 1/2 y) x) (/ x y)))) (/ (* x x) y) (/ (/ (* x x) y) y) (/ x (+ (* (* 4 y) y) (* x x))) (* (/ x (+ (* (* 4 y) y) (* x x))) x))
9.0ms	y	@	0	((pow (/ (/ (* x x) y) y) 2) (- 1 (* 1/4 (pow (/ (/ (* x x) y) y) 2))) (- -1 (* (* (/ 1/2 y) x) (/ x y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (* -8 y) (/ y (* x x))) 1) (* -8 y) (/ y (* x x)) (+ (* (* -4 y) (/ y (+ (* (* 4 y) y) (* x x)))) (* (/ x (+ (* (* 4 y) y) (* x x))) x)) (* -4 y) (/ y (+ (* (* 4 y) y) (* x x))) (+ (* (* 4 y) y) (* x x)) (/ (- 1 (* 1/4 (pow (/ (/ (* x x) y) y) 2))) (- -1 (* (* (/ 1/2 y) x) (/ x y)))) (/ (* x x) y) (/ (/ (* x x) y) y) (/ x (+ (* (* 4 y) y) (* x x))) (* (/ x (+ (* (* 4 y) y) (* x x))) x))
5.0ms	x	@	0	((pow (/ (/ (* x x) y) y) 2) (- 1 (* 1/4 (pow (/ (/ (* x x) y) y) 2))) (- -1 (* (* (/ 1/2 y) x) (/ x y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (* -8 y) (/ y (* x x))) 1) (* -8 y) (/ y (* x x)) (+ (* (* -4 y) (/ y (+ (* (* 4 y) y) (* x x)))) (* (/ x (+ (* (* 4 y) y) (* x x))) x)) (* -4 y) (/ y (+ (* (* 4 y) y) (* x x))) (+ (* (* 4 y) y) (* x x)) (/ (- 1 (* 1/4 (pow (/ (/ (* x x) y) y) 2))) (- -1 (* (* (/ 1/2 y) x) (/ x y)))) (/ (* x x) y) (/ (/ (* x x) y) y) (/ x (+ (* (* 4 y) y) (* x x))) (* (/ x (+ (* (* 4 y) y) (* x x))) x))
5.0ms	x	@	inf	((pow (/ (/ (* x x) y) y) 2) (- 1 (* 1/4 (pow (/ (/ (* x x) y) y) 2))) (- -1 (* (* (/ 1/2 y) x) (/ x y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (* -8 y) (/ y (* x x))) 1) (* -8 y) (/ y (* x x)) (+ (* (* -4 y) (/ y (+ (* (* 4 y) y) (* x x)))) (* (/ x (+ (* (* 4 y) y) (* x x))) x)) (* -4 y) (/ y (+ (* (* 4 y) y) (* x x))) (+ (* (* 4 y) y) (* x x)) (/ (- 1 (* 1/4 (pow (/ (/ (* x x) y) y) 2))) (- -1 (* (* (/ 1/2 y) x) (/ x y)))) (/ (* x x) y) (/ (/ (* x x) y) y) (/ x (+ (* (* 4 y) y) (* x x))) (* (/ x (+ (* (* 4 y) y) (* x x))) x))
4.0ms	y	@	-inf	((pow (/ (/ (* x x) y) y) 2) (- 1 (* 1/4 (pow (/ (/ (* x x) y) y) 2))) (- -1 (* (* (/ 1/2 y) x) (/ x y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (* -8 y) (/ y (* x x))) 1) (* -8 y) (/ y (* x x)) (+ (* (* -4 y) (/ y (+ (* (* 4 y) y) (* x x)))) (* (/ x (+ (* (* 4 y) y) (* x x))) x)) (* -4 y) (/ y (+ (* (* 4 y) y) (* x x))) (+ (* (* 4 y) y) (* x x)) (/ (- 1 (* 1/4 (pow (/ (/ (* x x) y) y) 2))) (- -1 (* (* (/ 1/2 y) x) (/ x y)))) (/ (* x x) y) (/ (/ (* x x) y) y) (/ x (+ (* (* 4 y) y) (* x x))) (* (/ x (+ (* (* 4 y) y) (* x x))) x))

simplify254.0ms (4.2%)

Memory

-23.7MiB live, 270.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	378	1787
1	1125	1719
2	3234	1667
0	8457	1534

Stop Event

1×	iter limit
1×	node limit

Counts

88 → 88

Calls

Call 1

Inputs
(/ (pow x 4) (pow y 4))
1
(+ 1 (* -1/4 (/ (pow x 4) (pow y 4))))
-1
(- (* -1/2 (/ (pow x 2) (pow y 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)
(* -8 (/ (pow y 2) (pow x 2)))
(/ (+ (* -8 (pow y 2)) (pow x 2)) (pow x 2))
(/ y (pow x 2))
(/ 1/4 y)
(+ (* -1/16 (/ (pow x 2) (pow y 3))) (* 1/4 (/ 1 y)))
(+ (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow y 5))) (* 1/16 (/ 1 (pow y 3))))) (* 1/4 (/ 1 y)))
(+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/256 (/ (pow x 2) (pow y 7))) (* 1/64 (/ 1 (pow y 5))))) (* 1/16 (/ 1 (pow y 3))))) (* 1/4 (/ 1 y)))
(* 4 (pow y 2))
(+ (* 4 (pow y 2)) (pow x 2))
(/ (pow x 2) y)
(/ (pow x 2) (pow y 2))
(* 1/4 (/ x (pow y 2)))
(* x (+ (* -1/16 (/ (pow x 2) (pow y 4))) (* 1/4 (/ 1 (pow y 2)))))
(* x (+ (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow y 6))) (* 1/16 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2)))))
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/256 (/ (pow x 2) (pow y 8))) (* 1/64 (/ 1 (pow y 6))))) (* 1/16 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2)))))
(* 1/4 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (+ (* -1/16 (/ (pow x 2) (pow y 4))) (* 1/4 (/ 1 (pow y 2)))))
(* (pow x 2) (+ (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow y 6))) (* 1/16 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2)))))
(* (pow x 2) (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/256 (/ (pow x 2) (pow y 8))) (* 1/64 (/ 1 (pow y 6))))) (* 1/16 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2)))))
(* -1/4 (/ (pow x 4) (pow y 4)))
(* (pow x 4) (- (/ 1 (pow x 4)) (* 1/4 (/ 1 (pow y 4)))))
(* -1/2 (/ (pow x 2) (pow y 2)))
(* -1 (* (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)))))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (pow y 4) (pow x 4))))) (+ (* -16 (/ (pow y 4) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
(- (+ 1 (+ (* -64 (/ (pow y 6) (pow x 6))) (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (pow y 4) (pow x 4)))))) (+ (* -16 (/ (pow y 4) (pow x 4))) (+ (* 4 (/ (pow y 2) (pow x 2))) (* 64 (/ (pow y 6) (pow x 6))))))
(/ (+ y (* -4 (/ (pow y 3) (pow x 2)))) (pow x 2))
(/ (- (+ y (* 16 (/ (pow y 5) (pow x 4)))) (* 4 (/ (pow y 3) (pow x 2)))) (pow x 2))
(/ (- (+ y (* -64 (/ (pow y 7) (pow x 6)))) (+ (* -16 (/ (pow y 5) (pow x 4))) (* 4 (/ (pow y 3) (pow x 2))))) (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(* 1/2 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))
(/ 1 x)
(/ (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) x)
(/ (- (+ 1 (* 16 (/ (pow y 4) (pow x 4)))) (* 4 (/ (pow y 2) (pow x 2)))) x)
(/ (- (+ 1 (* -64 (/ (pow y 6) (pow x 6)))) (+ (* -16 (/ (pow y 4) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2))))) x)
(+ 1 (* -4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (* 16 (/ (pow y 4) (pow x 4)))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (* -64 (/ (pow y 6) (pow x 6)))) (+ (* -16 (/ (pow y 4) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
(* -1 (/ (- (* 4 (/ (pow y 2) (pow x 2))) 1) x))
(* -1 (/ (- (* -16 (/ (pow y 4) (pow x 4))) (+ 1 (* -4 (/ (pow y 2) (pow x 2))))) x))
(* -1 (/ (- (* 64 (/ (pow y 6) (pow x 6))) (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (pow y 4) (pow x 4)))))) x))
(/ (- (pow y 4) (* 1/4 (pow x 4))) (pow y 4))
(/ (- (* -1 (pow y 2)) (* 1/2 (pow x 2))) (pow y 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))))))
(* -8 y)
(* -4 y)
(* y (+ (* -4 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 2))))
(* y (+ (* (pow y 2) (- (* 16 (/ (pow y 2) (pow x 6))) (* 4 (/ 1 (pow x 4))))) (/ 1 (pow x 2))))
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -64 (/ (pow y 2) (pow x 8))) (* 16 (/ 1 (pow x 6))))) (* 4 (/ 1 (pow x 4))))) (/ 1 (pow x 2))))
(/ (+ (* -1 (pow y 2)) (* 1/2 (pow x 2))) (pow y 2))
(+ (* -4 (/ (pow y 2) (pow x 3))) (/ 1 x))
(+ (* (pow y 2) (- (* 16 (/ (pow y 2) (pow x 5))) (* 4 (/ 1 (pow x 3))))) (/ 1 x))
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -64 (/ (pow y 2) (pow x 7))) (* 16 (/ 1 (pow x 5))))) (* 4 (/ 1 (pow x 3))))) (/ 1 x))
(+ 1 (* (pow y 2) (- (* 16 (/ (pow y 2) (pow x 4))) (* 4 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -64 (/ (pow y 2) (pow x 6))) (* 16 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 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) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))
(- (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* 1/32 (/ (pow x 6) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/8 (/ (pow x 4) (pow y 4))))))
(/ (+ 1/4 (* -1/16 (/ (pow x 2) (pow y 2)))) y)
(/ (- (+ 1/4 (* 1/64 (/ (pow x 4) (pow y 4)))) (* 1/16 (/ (pow x 2) (pow y 2)))) y)
(/ (- (+ 1/4 (* -1/256 (/ (pow x 6) (pow y 6)))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/16 (/ (pow x 2) (pow y 2))))) y)
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(/ (+ (* -1/16 (/ (pow x 3) (pow y 2))) (* 1/4 x)) (pow y 2))
(/ (- (+ (* 1/64 (/ (pow x 5) (pow y 4))) (* 1/4 x)) (* 1/16 (/ (pow x 3) (pow y 2)))) (pow y 2))
(/ (- (+ (* -1/256 (/ (pow x 7) (pow y 6))) (* 1/4 x)) (+ (* -1/64 (/ (pow x 5) (pow y 4))) (* 1/16 (/ (pow x 3) (pow y 2))))) (pow y 2))
(/ (+ (* -1/16 (/ (pow x 4) (pow y 2))) (* 1/4 (pow x 2))) (pow y 2))
(/ (- (+ (* 1/64 (/ (pow x 6) (pow y 4))) (* 1/4 (pow x 2))) (* 1/16 (/ (pow x 4) (pow y 2)))) (pow y 2))
(/ (- (+ (* -1/256 (/ (pow x 8) (pow y 6))) (* 1/4 (pow x 2))) (+ (* -1/64 (/ (pow x 6) (pow y 4))) (* 1/16 (/ (pow x 4) (pow y 2))))) (pow y 2))
(* -1 (/ (- (* 1/16 (/ (pow x 2) (pow y 2))) 1/4) y))
(* -1 (/ (- (* -1/64 (/ (pow x 4) (pow y 4))) (+ 1/4 (* -1/16 (/ (pow x 2) (pow y 2))))) y))
(* -1 (/ (- (* 1/256 (/ (pow x 6) (pow y 6))) (+ 1/4 (+ (* -1/16 (/ (pow x 2) (pow y 2))) (* 1/64 (/ (pow x 4) (pow y 4)))))) y))

Outputs
(/ (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 (* -1/4 (/ (pow x 4) (pow y 4))))
(fma.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))
-1
#s(literal -1 binary64)
(- (* -1/2 (/ (pow x 2) (pow y 2))) 1)
(fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64))
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) (.f64 x x) #s(literal -1 binary64))
(- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1)
(fma.f64 (fma.f64 (/.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) (+ (* (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 (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))
(* -8 (/ (pow y 2) (pow x 2)))
(.f64 (/.f64 (.f64 #s(literal -8 binary64) y) x) (/.f64 y x))
(/ (+ (* -8 (pow y 2)) (pow x 2)) (pow x 2))
(/.f64 (/.f64 (fma.f64 #s(literal -8 binary64) (.f64 y y) (.f64 x x)) x) x)
(/ y (pow x 2))
(/.f64 y (*.f64 x x))
(/ 1/4 y)
(/.f64 #s(literal 1/4 binary64) y)
(+ (* -1/16 (/ (pow x 2) (pow y 3))) (* 1/4 (/ 1 y)))
(fma.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 x x) (/.f64 #s(literal 1/4 binary64) y))
(+ (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow y 5))) (* 1/16 (/ 1 (pow y 3))))) (* 1/4 (/ 1 y)))
(fma.f64 (fma.f64 (.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 y #s(literal 5 binary64))) x) x (/.f64 #s(literal -1/16 binary64) (pow.f64 y #s(literal 3 binary64)))) (.f64 x x) (/.f64 #s(literal 1/4 binary64) y))
(+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/256 (/ (pow x 2) (pow y 7))) (* 1/64 (/ 1 (pow y 5))))) (* 1/16 (/ 1 (pow y 3))))) (* 1/4 (/ 1 y)))
(fma.f64 (fma.f64 (fma.f64 (.f64 x (/.f64 x (pow.f64 y #s(literal 7 binary64)))) #s(literal -1/256 binary64) (/.f64 #s(literal 1/64 binary64) (pow.f64 y #s(literal 5 binary64)))) (.f64 x x) (/.f64 #s(literal -1/16 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/4 binary64) y))
(* 4 (pow y 2))
(.f64 (.f64 y y) #s(literal 4 binary64))
(+ (* 4 (pow y 2)) (pow x 2))
(fma.f64 (.f64 y y) #s(literal 4 binary64) (.f64 x x))
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 x y) (/.f64 x y))
(* 1/4 (/ x (pow y 2)))
(*.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) y) y) x)
(* x (+ (* -1/16 (/ (pow x 2) (pow y 4))) (* 1/4 (/ 1 (pow y 2)))))
(.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 x x) (/.f64 (/.f64 #s(literal 1/4 binary64) y) y)) x)
(* x (+ (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow y 6))) (* 1/16 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 y #s(literal 6 binary64))) x) x (/.f64 #s(literal -1/16 binary64) (pow.f64 y #s(literal 4 binary64)))) (.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) y) y) x))
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/256 (/ (pow x 2) (pow y 8))) (* 1/64 (/ 1 (pow y 6))))) (* 1/16 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (.f64 x (/.f64 x (pow.f64 y #s(literal 8 binary64)))) #s(literal -1/256 binary64) (/.f64 #s(literal 1/64 binary64) (pow.f64 y #s(literal 6 binary64)))) (.f64 x x) (/.f64 #s(literal -1/16 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) y) y) x))
(* 1/4 (/ (pow x 2) (pow y 2)))
(.f64 (/.f64 (.f64 #s(literal 1/4 binary64) x) y) (/.f64 x y))
(* (pow x 2) (+ (* -1/16 (/ (pow x 2) (pow y 4))) (* 1/4 (/ 1 (pow y 2)))))
(.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 x x) (/.f64 (/.f64 #s(literal 1/4 binary64) y) y)) (*.f64 x x))
(* (pow x 2) (+ (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow y 6))) (* 1/16 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2)))))
(.f64 (fma.f64 (fma.f64 (.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 y #s(literal 6 binary64))) x) x (/.f64 #s(literal -1/16 binary64) (pow.f64 y #s(literal 4 binary64)))) (.f64 x x) (/.f64 (/.f64 #s(literal 1/4 binary64) y) y)) (.f64 x x))
(* (pow x 2) (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/256 (/ (pow x 2) (pow y 8))) (* 1/64 (/ 1 (pow y 6))))) (* 1/16 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2)))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x (/.f64 x (pow.f64 y #s(literal 8 binary64)))) #s(literal -1/256 binary64) (/.f64 #s(literal 1/64 binary64) (pow.f64 y #s(literal 6 binary64)))) (.f64 x x) (/.f64 #s(literal -1/16 binary64) (pow.f64 y #s(literal 4 binary64)))) (.f64 x x) (/.f64 (/.f64 #s(literal 1/4 binary64) y) y)) (*.f64 x x))
(* -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 (pow x 4)) (* 1/4 (/ 1 (pow y 4)))))
(fma.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))
(* -1/2 (/ (pow x 2) (pow y 2)))
(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) x) y) (/.f64 x y))
(* -1 (* (pow x 2) (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))))
(fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64))
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))
(fma.f64 (/.f64 (*.f64 #s(literal -8 binary64) 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 (.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -4 binary64) (fma.f64 (/.f64 (.f64 #s(literal -8 binary64) y) x) (/.f64 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)))))
(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)))) (fma.f64 (/.f64 (.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -4 binary64) (fma.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(fma.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (pow y 4) (pow x 4))))) (+ (* -16 (/ (pow y 4) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
(fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 16 binary64) (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 16 binary64) (fma.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))))
(- (+ 1 (+ (* -64 (/ (pow y 6) (pow x 6))) (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (pow y 4) (pow x 4)))))) (+ (* -16 (/ (pow y 4) (pow x 4))) (+ (* 4 (/ (pow y 2) (pow x 2))) (* 64 (/ (pow y 6) (pow x 6))))))
(fma.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal -64 binary64) (fma.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal -64 binary64) (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 16 binary64) (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 16 binary64) (fma.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))))))
(/ (+ y (* -4 (/ (pow y 3) (pow x 2)))) (pow x 2))
(/.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) (/.f64 #s(literal -4 binary64) x) y) (*.f64 x x))
(/ (- (+ y (* 16 (/ (pow y 5) (pow x 4)))) (* 4 (/ (pow y 3) (pow x 2)))) (pow x 2))
(/.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 16 binary64) (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) (/.f64 #s(literal -4 binary64) x) y)) (*.f64 x x))
(/ (- (+ y (* -64 (/ (pow y 7) (pow x 6)))) (+ (* -16 (/ (pow y 5) (pow x 4))) (* 4 (/ (pow y 3) (pow x 2))))) (pow x 2))
(/.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 7 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal -64 binary64) (fma.f64 (/.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 16 binary64) (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) (/.f64 #s(literal -4 binary64) x) y))) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(fma.f64 (/.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 x x))
(* 1/2 (/ (pow x 2) (pow y 2)))
(.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y))
(* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) (.f64 x x) #s(literal -1 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) x)
(fma.f64 (/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 y y) (/.f64 #s(literal 1 binary64) x))
(/ (- (+ 1 (* 16 (/ (pow y 4) (pow x 4)))) (* 4 (/ (pow y 2) (pow x 2)))) x)
(/.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 16 binary64) (fma.f64 (/.f64 (*.f64 #s(literal -4 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))) x)
(/ (- (+ 1 (* -64 (/ (pow y 6) (pow x 6)))) (+ (* -16 (/ (pow y 4) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2))))) x)
(/.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal -64 binary64) (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 16 binary64) (fma.f64 (/.f64 (*.f64 #s(literal -4 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)))) x)
(+ 1 (* -4 (/ (pow y 2) (pow x 2))))
(fma.f64 (/.f64 (*.f64 #s(literal -4 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))
(- (+ 1 (* 16 (/ (pow y 4) (pow x 4)))) (* 4 (/ (pow y 2) (pow x 2))))
(fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 16 binary64) (fma.f64 (/.f64 (*.f64 #s(literal -4 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)))
(- (+ 1 (* -64 (/ (pow y 6) (pow x 6)))) (+ (* -16 (/ (pow y 4) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
(fma.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal -64 binary64) (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 16 binary64) (fma.f64 (/.f64 (*.f64 #s(literal -4 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))))
(* -1 (/ (- (* 4 (/ (pow y 2) (pow x 2))) 1) x))
(fma.f64 (/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 y y) (/.f64 #s(literal 1 binary64) x))
(* -1 (/ (- (* -16 (/ (pow y 4) (pow x 4))) (+ 1 (* -4 (/ (pow y 2) (pow x 2))))) x))
(/.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 16 binary64) (fma.f64 (/.f64 (*.f64 #s(literal -4 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))) x)
(* -1 (/ (- (* 64 (/ (pow y 6) (pow x 6))) (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (pow y 4) (pow x 4)))))) x))
(/.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal -64 binary64) (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 16 binary64) (fma.f64 (/.f64 (*.f64 #s(literal -4 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)))) x)
(/ (- (pow y 4) (* 1/4 (pow x 4))) (pow y 4))
(fma.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))
(/ (- (* -1 (pow y 2)) (* 1/2 (pow x 2))) (pow y 2))
(fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) y) (/.f64 x y) #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 (.f64 y (/.f64 y (pow.f64 x #s(literal 6 binary64)))) #s(literal -128 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))
(* -8 y)
(*.f64 #s(literal -8 binary64) y)
(* -4 y)
(*.f64 #s(literal -4 binary64) y)
(* y (+ (* -4 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 2))))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -4 binary64) (/.f64 y (*.f64 x x)))
(* y (+ (* (pow y 2) (- (* 16 (/ (pow y 2) (pow x 6))) (* 4 (/ 1 (pow x 4))))) (/ 1 (pow x 2))))
(fma.f64 (fma.f64 (.f64 (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 6 binary64))) y) y (/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 y #s(literal 3 binary64)) (/.f64 y (.f64 x x)))
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -64 (/ (pow y 2) (pow x 8))) (* 16 (/ 1 (pow x 6))))) (* 4 (/ 1 (pow x 4))))) (/ 1 (pow x 2))))
(fma.f64 (fma.f64 (fma.f64 (.f64 y (/.f64 y (pow.f64 x #s(literal 8 binary64)))) #s(literal -64 binary64) (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 6 binary64)))) (.f64 y y) (/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 y #s(literal 3 binary64)) (/.f64 y (*.f64 x x)))
(/ (+ (* -1 (pow y 2)) (* 1/2 (pow x 2))) (pow y 2))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) (.f64 x x) #s(literal -1 binary64))
(+ (* -4 (/ (pow y 2) (pow x 3))) (/ 1 x))
(fma.f64 (/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 y y) (/.f64 #s(literal 1 binary64) x))
(+ (* (pow y 2) (- (* 16 (/ (pow y 2) (pow x 5))) (* 4 (/ 1 (pow x 3))))) (/ 1 x))
(fma.f64 (fma.f64 (.f64 (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 5 binary64))) y) y (/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 y y) (/.f64 #s(literal 1 binary64) x))
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -64 (/ (pow y 2) (pow x 7))) (* 16 (/ 1 (pow x 5))))) (* 4 (/ 1 (pow x 3))))) (/ 1 x))
(fma.f64 (fma.f64 (fma.f64 (.f64 y (/.f64 y (pow.f64 x #s(literal 7 binary64)))) #s(literal -64 binary64) (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 y y) (/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y y) (/.f64 #s(literal 1 binary64) x))
(+ 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) (+ (* -64 (/ (pow y 2) (pow x 6))) (* 16 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 y (/.f64 y (pow.f64 x #s(literal 6 binary64)))) #s(literal -64 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))
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) (.f64 x x) #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 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/4 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))))))
(fma.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/4 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) (.f64 x x) #s(literal -1 binary64))))
(* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))
(fma.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))
(- (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(fma.f64 (fma.f64 (/.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))
(- (+ (* 1/32 (/ (pow x 6) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/8 (/ (pow x 4) (pow y 4))))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/32 binary64) (fma.f64 (fma.f64 (/.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)))
(/ (+ 1/4 (* -1/16 (/ (pow x 2) (pow y 2)))) y)
(fma.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 x x) (/.f64 #s(literal 1/4 binary64) y))
(/ (- (+ 1/4 (* 1/64 (/ (pow x 4) (pow y 4)))) (* 1/16 (/ (pow x 2) (pow y 2)))) y)
(/.f64 (fma.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal -1/16 binary64) x) y) (/.f64 x y) #s(literal 1/4 binary64))) y)
(/ (- (+ 1/4 (* -1/256 (/ (pow x 6) (pow y 6)))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/16 (/ (pow x 2) (pow y 2))))) y)
(/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/16 binary64) x) y) (/.f64 x y) (fma.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/256 binary64) #s(literal 1/4 binary64)))) y)
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(.f64 (.f64 (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal 4 binary64)) y) y)
(/ (+ (* -1/16 (/ (pow x 3) (pow y 2))) (* 1/4 x)) (pow y 2))
(/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal -1/16 binary64) y) (.f64 #s(literal 1/4 binary64) x)) (.f64 y y))
(/ (- (+ (* 1/64 (/ (pow x 5) (pow y 4))) (* 1/4 x)) (* 1/16 (/ (pow x 3) (pow y 2)))) (pow y 2))
(/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal -1/16 binary64) y) (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/64 binary64) (.f64 #s(literal 1/4 binary64) x))) (.f64 y y))
(/ (- (+ (* -1/256 (/ (pow x 7) (pow y 6))) (* 1/4 x)) (+ (* -1/64 (/ (pow x 5) (pow y 4))) (* 1/16 (/ (pow x 3) (pow y 2))))) (pow y 2))
(/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/256 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal -1/16 binary64) y) (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/64 binary64) (.f64 #s(literal 1/4 binary64) x)))) (.f64 y y))
(/ (+ (* -1/16 (/ (pow x 4) (pow y 2))) (* 1/4 (pow x 2))) (pow y 2))
(/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (/.f64 #s(literal -1/16 binary64) y) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (*.f64 y y))
(/ (- (+ (* 1/64 (/ (pow x 6) (pow y 4))) (* 1/4 (pow x 2))) (* 1/16 (/ (pow x 4) (pow y 2)))) (pow y 2))
(/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (/.f64 #s(literal -1/16 binary64) y) (fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/64 binary64) (.f64 #s(literal 1/4 binary64) (.f64 x x)))) (*.f64 y y))
(/ (- (+ (* -1/256 (/ (pow x 8) (pow y 6))) (* 1/4 (pow x 2))) (+ (* -1/64 (/ (pow x 6) (pow y 4))) (* 1/16 (/ (pow x 4) (pow y 2))))) (pow y 2))
(/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/256 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (/.f64 #s(literal -1/16 binary64) y) (fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/64 binary64) (.f64 #s(literal 1/4 binary64) (.f64 x x))))) (*.f64 y y))
(* -1 (/ (- (* 1/16 (/ (pow x 2) (pow y 2))) 1/4) y))
(fma.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 x x) (/.f64 #s(literal 1/4 binary64) y))
(* -1 (/ (- (* -1/64 (/ (pow x 4) (pow y 4))) (+ 1/4 (* -1/16 (/ (pow x 2) (pow y 2))))) y))
(/.f64 (fma.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal -1/16 binary64) x) y) (/.f64 x y) #s(literal 1/4 binary64))) y)
(* -1 (/ (- (* 1/256 (/ (pow x 6) (pow y 6))) (+ 1/4 (+ (* -1/16 (/ (pow x 2) (pow y 2))) (* 1/64 (/ (pow x 4) (pow y 4)))))) y))
(/.f64 (fma.f64 #s(literal 1/256 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) x) y) (/.f64 x y) #s(literal -1/4 binary64)))) (neg.f64 y))

rewrite189.0ms (3.1%)

Memory

26.6MiB live, 216.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	232
0	66	230
1	266	230
2	2003	190
0	8730	185

Stop Event

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

Counts

17 → 670

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (/.f64 (*.f64 x x) y)) #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (/.f64 y (.f64 x x)) #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (/.f64 (*.f64 x x) y)) (pow.f64 y #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 (neg.f64 x) (/.f64 x y)) y) (/.f64 (*.f64 (neg.f64 x) (/.f64 x y)) y))
(.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 (/.f64 y (.f64 x x)) #s(literal -2 binary64)))
(.f64 (pow.f64 (/.f64 y (.f64 x x)) #s(literal -2 binary64)) (pow.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) #s(literal 2 binary64)))
(.f64 (pow.f64 (/.f64 y (.f64 x x)) #s(literal -2 binary64)) (pow.f64 y #s(literal -2 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) y) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (pow.f64 (/.f64 y x) #s(literal -2 binary64)))
(.f64 (/.f64 (.f64 x x) y) (pow.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (/.f64 y x) #s(literal -2 binary64))) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 x x) y) (*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (/.f64 y x) #s(literal -2 binary64))))
(.f64 (.f64 x x) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64)))
(.f64 (.f64 x x) (pow.f64 (/.f64 x (*.f64 y y)) #s(literal 2 binary64)))
(.f64 (.f64 x x) (pow.f64 (pow.f64 (*.f64 (/.f64 y x) y) #s(literal -1 binary64)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64))))
(pow.f64 (pow.f64 (.f64 (/.f64 y (.f64 x x)) y) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (.f64 (/.f64 y (.f64 x x)) y) #s(literal -2 binary64))
(pow.f64 (pow.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64))
(/.f64 (neg.f64 (.f64 (.f64 (neg.f64 x) (/.f64 x y)) (pow.f64 (/.f64 y x) #s(literal -2 binary64)))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (.f64 (/.f64 (.f64 x x) y) (pow.f64 (/.f64 y x) #s(literal -2 binary64)))) (neg.f64 y))
(/.f64 (neg.f64 (.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (.f64 (neg.f64 x) (/.f64 x y)))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 1 binary64))) (neg.f64 (.f64 (/.f64 y (*.f64 x x)) y)))
(/.f64 (neg.f64 (.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (/.f64 (.f64 x x) y))) (neg.f64 y))
(/.f64 (neg.f64 (.f64 (.f64 (neg.f64 x) (/.f64 x y)) #s(literal 1 binary64))) (neg.f64 (.f64 (neg.f64 y) (.f64 (/.f64 y (*.f64 x x)) y))))
(/.f64 (neg.f64 (.f64 (.f64 (neg.f64 x) (/.f64 x y)) (/.f64 (.f64 x x) y))) (neg.f64 (.f64 (neg.f64 y) y)))
(/.f64 (neg.f64 (.f64 (.f64 (neg.f64 x) (/.f64 x y)) (.f64 x x))) (neg.f64 (.f64 (neg.f64 y) (*.f64 y y))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) (/.f64 x y)))) (neg.f64 (.f64 (.f64 (/.f64 y (*.f64 x x)) y) (neg.f64 y))))
(/.f64 (neg.f64 (.f64 (/.f64 (.f64 x x) y) (.f64 (neg.f64 x) (/.f64 x y)))) (neg.f64 (.f64 y (neg.f64 y))))
(/.f64 (neg.f64 (pow.f64 (/.f64 y (.f64 x x)) #s(literal -2 binary64))) (neg.f64 (.f64 y y)))
(/.f64 (neg.f64 (.f64 (/.f64 (.f64 x x) y) (*.f64 x x))) (neg.f64 (pow.f64 y #s(literal 3 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (.f64 (neg.f64 x) (/.f64 x y)))) (neg.f64 (.f64 (*.f64 y y) (neg.f64 y))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (/.f64 (*.f64 x x) y))) (neg.f64 (pow.f64 y #s(literal 3 binary64))))
(/.f64 (neg.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64))) (neg.f64 (.f64 (/.f64 y (.f64 x x)) y)))
(/.f64 (neg.f64 (.f64 (/.f64 (.f64 x x) y) #s(literal 1 binary64))) (neg.f64 (.f64 y (.f64 (/.f64 y (*.f64 x x)) y))))
(/.f64 (neg.f64 (.f64 (.f64 x x) #s(literal 1 binary64))) (neg.f64 (.f64 (.f64 y y) (.f64 (/.f64 y (.f64 x x)) y))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (.f64 x x))) (neg.f64 (.f64 (.f64 (/.f64 y (.f64 x x)) y) (.f64 y y))))
(/.f64 (.f64 (.f64 (neg.f64 x) (/.f64 x y)) (pow.f64 (/.f64 y x) #s(literal -2 binary64))) (neg.f64 y))
(/.f64 (.f64 (/.f64 (.f64 x x) y) (pow.f64 (/.f64 y x) #s(literal -2 binary64))) y)
(/.f64 (.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (.f64 (neg.f64 x) (/.f64 x y))) (neg.f64 y))
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eval125.0ms (2.1%)

Memory: -16.3MiB live, 257.5MiB allocated
Compiler: Compiled 38 514 to 3 431 computations (91.1% saved)

prune20.0ms (0.3%)

Memory

22.8MiB live, 61.4MiB allocated

Pruning

11 alts after pruning (2 fresh and 9 done)

	Pruned	Kept	Total
New	791	2	793
Fresh	0	0	0
Picked	1	2	3
Done	0	7	7
Total	792	11	803

Accuracy

99.8%

Counts

803 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.0%	(fma.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))
✓	50.0%	(/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) y)))
✓	34.5%	(/.f64 #s(approx (- (* x x) (* (* y 4) y)) (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -4 binary64)) (.f64 y y))) (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) y)))
✓	47.9%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)))
✓	55.3%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)))
✓	44.4%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 #s(literal -8 binary64) y) (/.f64 y (.f64 x x)) #s(literal 1 binary64)))
✓	49.7%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x x) (.f64 y y)) #s(literal -1 binary64)))
	51.7%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 (.f64 x x) y) y) #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal -1 binary64)))))
	54.6%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 #s(approx (- 1 (* 1/4 (pow (/ (/ (* x x) y) y) 2))) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 x y)))))
✓	46.1%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
✓	53.9%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Compiler

Compiled 872 to 288 computations (67% saved)

regimes36.0ms (0.6%)

Memory

-22.3MiB live, 71.3MiB allocated

Counts

18 → 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 #s(literal 1/2 binary64) (/.f64 (.f64 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) y) (/.f64 y (.f64 x x)) #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 (/.f64 x 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 (*.f64 x x) y) #s(literal -1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal -8 binary64) 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)))
(/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) y)))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (fma.f64 x x (.f64 (*.f64 #s(literal 4 binary64) y) y)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 #s(approx (- 1 (* 1/4 (pow (/ (/ (* x x) y) y) 2))) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 x 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 #s(approx (- (* x x) (* (* y 4) y)) (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -4 binary64)) (.f64 y y))) (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) y)))
(fma.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))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 (.f64 x x) y) y) #s(literal 2 binary64)))) (-.f64 #s(literal -1 binary64) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 x y)))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (fma.f64 (.f64 x x) (/.f64 (.f64 x x) (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x))) (neg.f64 (/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64)) (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 (.f64 x x) y) y) #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 y x) #s(literal -2 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)))

(fma.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))

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

Calls

5 calls:

14.0ms	(.f64 (.f64 y #s(literal 4 binary64)) y)
6.0ms	x
5.0ms	y
5.0ms	(*.f64 x x)
4.0ms	(/.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
79.8%	3	`x`
86.8%	3	`y`
78.8%	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)))`
79.8%	3	`(*.f64 x x)`
86.8%	3	`(.f64 (.f64 y #s(literal 4 binary64)) y)`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes9.0ms (0.1%)

Memory

14.3MiB live, 14.3MiB allocated

Counts

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

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

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

Calls

2 calls:

4.0ms	y
4.0ms	(.f64 (.f64 y #s(literal 4 binary64)) y)

Results

Accuracy	Segments	Branch
86.7%	3	`(.f64 (.f64 y #s(literal 4 binary64)) y)`
86.7%	3	`y`

Compiler

Compiled 6 to 7 computations (-16.7% saved)

regimes19.0ms (0.3%)

Memory

-26.3MiB live, 12.9MiB allocated

Counts

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

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

Calls

2 calls:

15.0ms	(.f64 (.f64 y #s(literal 4 binary64)) y)
3.0ms	y

Results

Accuracy	Segments	Branch
86.7%	3	`y`
86.7%	3	`(.f64 (.f64 y #s(literal 4 binary64)) y)`

Compiler

Compiled 6 to 7 computations (-16.7% saved)

regimes6.0ms (0.1%)

Memory

8.9MiB live, 8.9MiB allocated

Counts

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
80.9%	2	`y`
80.9%	2	`(.f64 (.f64 y #s(literal 4 binary64)) y)`

Compiler

Compiled 6 to 7 computations (-16.7% saved)

regimes5.0ms (0.1%)

Memory

7.3MiB live, 7.3MiB 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 #s(literal 1/2 binary64) (/.f64 (.f64 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) y) (/.f64 y (.f64 x x)) #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))) (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))) #s(literal -1 binary64))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
80.3%	2	`y`
80.3%	2	`(.f64 (.f64 y #s(literal 4 binary64)) y)`

Compiler

Compiled 6 to 7 computations (-16.7% saved)

regimes4.0ms (0.1%)

Memory

6.7MiB live, 6.7MiB 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 #s(literal 1/2 binary64) (/.f64 (.f64 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) y) (/.f64 y (.f64 x 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))) #s(literal -1 binary64))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
79.7%	2	`y`
79.7%	2	`(.f64 (.f64 y #s(literal 4 binary64)) y)`

Compiler

Compiled 6 to 7 computations (-16.7% saved)

regimes33.0ms (0.5%)

Memory

-25.5MiB live, 13.5MiB 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:

28.0ms	(*.f64 x x)
1.0ms	x
1.0ms	y
1.0ms	(.f64 (.f64 y #s(literal 4 binary64)) y)
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
53.9%	1	`x`
53.9%	1	`(*.f64 x x)`
53.9%	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)))`
53.9%	1	`y`
53.9%	1	`(.f64 (.f64 y #s(literal 4 binary64)) y)`

Compiler

Compiled 29 to 21 computations (27.6% saved)

bsearch30.0ms (0.5%)

Memory

0.2MiB live, 41.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	5.5170574189997865e+141	1.83837022687934e+145
10.0ms	4.119364879741237e-151	7.44710191554617e-150

Samples

13.0ms

240×

valid

Compiler

Compiled 862 to 457 computations (47% saved)

Precisions

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

ival-mult: 4.0ms (49.6% of total)

ival-sub: 1.0ms (12.4% of total)

ival-div: 1.0ms (12.4% of total)

ival-add: 1.0ms (12.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.2175169025816234e+284	1.3518420364305584e+291
0.0ms	1.628365663294541e-308	3.0334315121688862e-307

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.2175169025816234e+284	1.3518420364305584e+291
0.0ms	1.628365663294541e-308	3.0334315121688862e-307

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.957440082223401e-103	3.4539342169772994e-98

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	2.957440082223401e-103	3.4539342169772994e-98

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	2.957440082223401e-103	3.4539342169772994e-98

Compiler

Compiled 18 to 14 computations (22.2% saved)

simplify26.0ms (0.4%)

Memory

16.6MiB live, 54.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	478
1	70	478

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 y #s(literal 2948408144391829/1842755090244893238399196572748178169393027939656465052918069482541808673043041431682679065028153695088607604995490158642466105776330465152617887818082371115063181312 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 y #s(literal 2800000000000000066487210604223095000744242197920310124925701968276664802717657603190897359005033223562168713574752325012221556875692228405624832 binary64)) (fma.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)) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)))))
(if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 1012011266536553/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 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 200000000000000015842876501691535308251363838339942186816779868466887151795034205545089069114411529059504325666588836124813676426230104197677563914641752713707086241642983763505789334141041164451549418938435594261010114368138763297090749546488747114934452621501484084432923307385290752 binary64)) (/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) y))) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)))))
(if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 1012011266536553/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 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 200000000000000015842876501691535308251363838339942186816779868466887151795034205545089069114411529059504325666588836124813676426230104197677563914641752713707086241642983763505789334141041164451549418938435594261010114368138763297090749546488747114934452621501484084432923307385290752 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))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)))))
(if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 5043456793138493/10086913586276986678343434265636765134100413253239154346994763111486904773503285916522052161250538404046496765518544896 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 (/.f64 x y) x) #s(literal -1 binary64))))
(if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 5043456793138493/10086913586276986678343434265636765134100413253239154346994763111486904773503285916522052161250538404046496765518544896 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))) #s(literal -1 binary64)))
(if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 5043456793138493/10086913586276986678343434265636765134100413253239154346994763111486904773503285916522052161250538404046496765518544896 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 y #s(literal 2948408144391829/1842755090244893238399196572748178169393027939656465052918069482541808673043041431682679065028153695088607604995490158642466105776330465152617887818082371115063181312 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 y #s(literal 2800000000000000066487210604223095000744242197920310124925701968276664802717657603190897359005033223562168713574752325012221556875692228405624832 binary64)) (fma.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)) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)))))
(if (<=.f64 y #s(literal 2948408144391829/1842755090244893238399196572748178169393027939656465052918069482541808673043041431682679065028153695088607604995490158642466105776330465152617887818082371115063181312 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))) (if (<=.f64 y #s(literal 2800000000000000066487210604223095000744242197920310124925701968276664802717657603190897359005033223562168713574752325012221556875692228405624832 binary64)) (fma.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)) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)))))
(if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 1012011266536553/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 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 200000000000000015842876501691535308251363838339942186816779868466887151795034205545089069114411529059504325666588836124813676426230104197677563914641752713707086241642983763505789334141041164451549418938435594261010114368138763297090749546488747114934452621501484084432923307385290752 binary64)) (/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) y))) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)))))
(if (<=.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) #s(literal 1012011266536553/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 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))) (if (<=.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) #s(literal 200000000000000015842876501691535308251363838339942186816779868466887151795034205545089069114411529059504325666588836124813676426230104197677563914641752713707086241642983763505789334141041164451549418938435594261010114368138763297090749546488747114934452621501484084432923307385290752 binary64)) (/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) y))) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)))))
(if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 1012011266536553/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 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 200000000000000015842876501691535308251363838339942186816779868466887151795034205545089069114411529059504325666588836124813676426230104197677563914641752713707086241642983763505789334141041164451549418938435594261010114368138763297090749546488747114934452621501484084432923307385290752 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))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)))))
(if (<=.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) #s(literal 1012011266536553/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 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))) (if (<=.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) #s(literal 200000000000000015842876501691535308251363838339942186816779868466887151795034205545089069114411529059504325666588836124813676426230104197677563914641752713707086241642983763505789334141041164451549418938435594261010114368138763297090749546488747114934452621501484084432923307385290752 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))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)))))
(if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 5043456793138493/10086913586276986678343434265636765134100413253239154346994763111486904773503285916522052161250538404046496765518544896 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 (/.f64 x y) x) #s(literal -1 binary64))))
(if (<=.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) #s(literal 5043456793138493/10086913586276986678343434265636765134100413253239154346994763111486904773503285916522052161250538404046496765518544896 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))) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64))))
(if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 5043456793138493/10086913586276986678343434265636765134100413253239154346994763111486904773503285916522052161250538404046496765518544896 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))) #s(literal -1 binary64)))
(if (<=.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) #s(literal 5043456793138493/10086913586276986678343434265636765134100413253239154346994763111486904773503285916522052161250538404046496765518544896 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))) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)))
(if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 5043456793138493/10086913586276986678343434265636765134100413253239154346994763111486904773503285916522052161250538404046496765518544896 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)))
(if (<=.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) #s(literal 5043456793138493/10086913586276986678343434265636765134100413253239154346994763111486904773503285916522052161250538404046496765518544896 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))

soundness884.0ms (14.5%)

Memory

-2.6MiB live, 508.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	115	420
1	319	384
2	960	338
3	4078	334
0	8269	304
0	37	218
0	62	192
1	230	185
2	1657	185
0	8465	185
0	9	40
0	15	40
1	54	40
2	397	40
3	6323	40
0	8488	36

Stop Event

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

Compiler

Compiled 872 to 260 computations (70.2% saved)

preprocess121.0ms (2%)

Memory: 1.5MiB live, 83.3MiB allocated
Remove: (abs x)
Compiler: Compiled 1 720 to 412 computations (76% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze2.0ms (0%)

sample850.0ms (14%)

explain173.0ms (2.8%)

preprocess198.0ms (3.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify61.0ms (1%)

localize40.0ms (0.7%)

series7.0ms (0.1%)

simplify260.0ms (4.3%)

rewrite255.0ms (4.2%)

eval104.0ms (1.7%)

prune74.0ms (1.2%)

simplify239.0ms (3.9%)

localize104.0ms (1.7%)

series86.0ms (1.4%)

simplify192.0ms (3.1%)

rewrite182.0ms (3%)

eval148.0ms (2.4%)

prune61.0ms (1%)

simplify97.0ms (1.6%)

localize142.0ms (2.3%)

series29.0ms (0.5%)

simplify241.0ms (4%)

rewrite312.0ms (5.1%)

eval102.0ms (1.7%)

prune16.0ms (0.3%)

simplify192.0ms (3.1%)

localize129.0ms (2.1%)

series37.0ms (0.6%)

simplify254.0ms (4.2%)

rewrite189.0ms (3.1%)

eval125.0ms (2.1%)

prune20.0ms (0.3%)

regimes36.0ms (0.6%)

regimes9.0ms (0.1%)

regimes19.0ms (0.3%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes33.0ms (0.5%)

bsearch30.0ms (0.5%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify26.0ms (0.4%)

soundness884.0ms (14.5%)

preprocess121.0ms (2%)

end0.0ms (0%)

Profiling