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

start0.0ms (0%)

Memory: 0.2MiB live, 0.1MiB allocated

analyze2.0ms (0%)

Memory

7.6MiB live, 7.6MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
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)

sample983.0ms (16.1%)

Memory

-2.0MiB live, 1 028.6MiB allocated

Samples

586.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 316.0ms

ival-mult: 176.0ms (55.7% of total)

ival-div: 52.0ms (16.5% of total)

ival-sub: 38.0ms (12% of total)

ival-add: 35.0ms (11.1% of total)

ival-true: 6.0ms (1.9% of total)

exact: 5.0ms (1.6% of total)

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

Bogosity

explain120.0ms (2%)

Memory

22.4MiB live, 254.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
123	-	1	(-8.049661473762847e-160 1.177033525029938e-163)	`(/.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)))`
20	-	0	-	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`
0	-	0	-	`(.f64 (.f64 y #s(literal 4 binary64)) y)`
0	-	0	-	`(*.f64 y #s(literal 4 binary64))`
0	-	0	-	`#s(literal 4 binary64)`
0	-	0	-	`(*.f64 x x)`
0	-	0	-	`(+.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`
0	-	0	-	`y`
0	-	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	106	0
↳	`(.f64 (.f64 y #s(literal 4 binary64)) y)`	overflow	65
↳	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`	overflow	106
↳	`(*.f64 y #s(literal 4 binary64))`	overflow	1
↳	`(*.f64 x x)`	overflow	61
↳	`(.f64 (.f64 y #s(literal 4 binary64)) y)`	overflow	65
↳	`(+.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`	overflow	106
↳	`(*.f64 y #s(literal 4 binary64))`	overflow	1
↳	`(*.f64 x x)`	overflow	61
`-.f64`	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`	nan-rescue	20	0
↳	`(*.f64 x x)`	overflow	61
↳	`(.f64 (.f64 y #s(literal 4 binary64)) y)`	overflow	65
↳	`(*.f64 y #s(literal 4 binary64))`	overflow	1
`/.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	59
↳	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`	underflow	16
↳	`(*.f64 x x)`	underflow	68
↳	`(.f64 (.f64 y #s(literal 4 binary64)) y)`	underflow	59
↳	`(+.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`	underflow	16
↳	`(*.f64 x x)`	underflow	68

Confusion

	Predicted +	Predicted -
+	122	1
-	0	133

Precision

1.0

Recall

0.991869918699187

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	122	0	1
-	0	0	133

Precision?

1.0

Recall?

0.991869918699187

Freqs

test

number	freq
0	134
1	102
2	20

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

33.0ms

512×

valid

Compiler

Compiled 125 to 31 computations (75.2% saved)

Precisions

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

ival-mult: 9.0ms (50.9% of total)

ival-div: 3.0ms (17% of total)

ival-sub: 2.0ms (11.3% of total)

ival-add: 2.0ms (11.3% of total)

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

exact: 0.0ms (0% of total)

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

preprocess234.0ms (3.8%)

Memory

-0.9MiB live, 94.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	97
1	89	97
2	240	95
3	621	95
4	1748	95
5	2724	95
6	2963	95
7	2982	95
8	2997	95
9	3002	95
10	3002	95
11	3302	95
12	3438	95
13	3438	95
14	3582	95
15	4457	95
16	4457	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	725	19
8	1248	19
9	2302	19
10	2353	19
11	2391	19
12	2419	19
13	2419	19
0	2419	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

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.2%	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))

Compiler

Compiled 19 to 9 computations (52.6% saved)

simplify56.0ms (0.9%)

Memory

-2.6MiB live, 34.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	51
0	15	51
1	27	51
2	56	51
3	112	51
4	215	51
5	344	51
6	511	51
7	725	51
8	1248	51
9	2302	51
10	2353	51
11	2391	51
12	2419	51
13	2419	51
0	2419	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))

localize43.0ms (0.7%)

Memory

-16.9MiB live, 101.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.00390625	(+.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))
accuracy	4.746062787453088	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))
accuracy	30.09943578144198	(/.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

23.0ms

256×

valid

Compiler

Compiled 53 to 11 computations (79.2% saved)

Precisions

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

ival-div: 6.0ms (41.3% of total)

ival-mult: 6.0ms (41.3% of total)

ival-sub: 1.0ms (6.9% of total)

ival-add: 1.0ms (6.9% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

11.5MiB live, 11.5MiB 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))

simplify192.0ms (3.1%)

Memory

33.7MiB live, 218.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	115	420
1	319	384
2	986	338
3	4120	334
0	8235	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 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y #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 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y #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))))

rewrite285.0ms (4.7%)

Memory

-27.2MiB live, 303.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	40
0	15	40
1	54	40
2	397	40
3	6363	40
0	8342	36

Stop Event

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

Counts

4 → 626

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

eval111.0ms (1.8%)

Memory: 12.4MiB live, 124.2MiB allocated
Compiler: Compiled 26 171 to 1 609 computations (93.9% saved)

prune45.0ms (0.7%)

Memory

7.1MiB live, 45.8MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	646	5	651
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	647	5	652

Accuracy

99.6%

Counts

652 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.6%	(/.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)))
▶	49.5%	#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)))
▶	44.5%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y #s(literal 1 binary64)))
▶	46.0%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
▶	54.2%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Compiler

Compiled 238 to 128 computations (46.2% saved)

simplify500.0ms (8.2%)

Memory

-23.5MiB live, 135.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 x x)
cost-diff	0	(*.f64 y y)
cost-diff	0	(fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x))
cost-diff	0	(/.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)))
cost-diff	0	(/.f64 (*.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	(/.f64 #s(literal -8 binary64) (*.f64 x x))
cost-diff	0	(.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y)
cost-diff	0	(fma.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y #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) (.f64 x x)) y) 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: 1 (0.0ms)

Iter	Nodes	Cost
0	30	204
0	47	200
1	84	196
2	148	196
3	258	196
4	389	196
5	537	196
6	717	196
7	1072	196
8	2499	196
9	4312	196
10	4899	196
11	5048	196
12	5092	196
13	5108	196
14	5112	196
15	5378	196
16	5494	196
17	5494	196
18	5676	196
19	5840	196
20	5990	196
21	5997	196
22	6153	196
23	6464	196
24	6496	196
25	6496	196
0	6496	196

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize99.0ms (1.6%)

Memory

9.5MiB live, 130.1MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 #s(literal 4 binary64) y)
accuracy	0.00390625	(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
accuracy	4.757781537453088	(fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x))
accuracy	30.09943578144198	(/.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)))
accuracy	0.0	(*.f64 x x)
accuracy	0.9956503170244295	(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64))
accuracy	8.697201284872161	(/.f64 (*.f64 x x) y)
accuracy	28.44601620256494	#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	0.5883619002536915	(/.f64 #s(literal -8 binary64) (*.f64 x x))
accuracy	2.4320811666649838	(fma.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y #s(literal 1 binary64))
accuracy	8.207540100557516	(.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y)
accuracy	33.32048691396272	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y #s(literal 1 binary64)))
accuracy	34.5661533983628	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
accuracy	29.325371717658573	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Samples

81.0ms

256×

valid

Compiler

Compiled 186 to 31 computations (83.3% saved)

Precisions

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

ival-mult: 54.0ms (79.1% of total)

ival-div: 7.0ms (10.3% of total)

ival-add: 5.0ms (7.3% of total)

ival-sub: 1.0ms (1.5% of total)

exact: 1.0ms (1.5% of total)

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

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

series19.0ms (0.3%)

Memory

4.5MiB live, 42.4MiB allocated

Counts

16 → 35

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

Outputs
-1
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1)
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1)
(* -8 (/ (pow y 2) (pow x 2)))
(/ (+ (* -8 (pow y 2)) (pow x 2)) (pow x 2))
(* -8 (/ y (pow x 2)))
(/ -8 (pow x 2))
(/ (pow x 2) y)
(* -4 (pow y 2))
(+ (* -4 (pow y 2)) (pow x 2))
(pow x 2)
(* 4 (pow y 2))
(+ (* 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)))))
(+ 1 (* -8 (/ (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)))))
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))
(/ (+ (* -1 (pow y 2)) (* 1/2 (pow x 2))) (pow y 2))
(/ 1/2 y)
(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
6.0ms	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))) (+ (* (* (/ -8 (* x x)) y) y) 1) (* (/ -8 (* x x)) y) (/ -8 (* x x)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ 1/2 y) (/ (* x x) y)) -1) (/ 1/2 y) (/ (* x x) y) (/ (+ (* -4 (* y y)) (* x x)) (+ (* (* 4 y) y) (* x x))) (+ (* -4 (* y y)) (* x x)) (* y y) (* x x) (+ (* (* 4 y) y) (* x x)) (* 4 y))
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))) (+ (* (* (/ -8 (* x x)) y) y) 1) (* (/ -8 (* x x)) y) (/ -8 (* x x)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ 1/2 y) (/ (* x x) y)) -1) (/ 1/2 y) (/ (* x x) y) (/ (+ (* -4 (* y y)) (* x x)) (+ (* (* 4 y) y) (* x x))) (+ (* -4 (* y y)) (* x x)) (* y y) (* x x) (+ (* (* 4 y) y) (* x x)) (* 4 y))
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))) (+ (* (* (/ -8 (* x x)) y) y) 1) (* (/ -8 (* x x)) y) (/ -8 (* x x)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ 1/2 y) (/ (* x x) y)) -1) (/ 1/2 y) (/ (* x x) y) (/ (+ (* -4 (* y y)) (* x x)) (+ (* (* 4 y) y) (* x x))) (+ (* -4 (* y y)) (* x x)) (* y y) (* x x) (+ (* (* 4 y) y) (* x x)) (* 4 y))
2.0ms	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))) (+ (* (* (/ -8 (* x x)) y) y) 1) (* (/ -8 (* x x)) y) (/ -8 (* x x)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ 1/2 y) (/ (* x x) y)) -1) (/ 1/2 y) (/ (* x x) y) (/ (+ (* -4 (* y y)) (* x x)) (+ (* (* 4 y) y) (* x x))) (+ (* -4 (* y y)) (* x x)) (* y y) (* x x) (+ (* (* 4 y) y) (* x x)) (* 4 y))
2.0ms	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))) (+ (* (* (/ -8 (* x x)) y) y) 1) (* (/ -8 (* x x)) y) (/ -8 (* x x)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ 1/2 y) (/ (* x x) y)) -1) (/ 1/2 y) (/ (* x x) y) (/ (+ (* -4 (* y y)) (* x x)) (+ (* (* 4 y) y) (* x x))) (+ (* -4 (* y y)) (* x x)) (* y y) (* x x) (+ (* (* 4 y) y) (* x x)) (* 4 y))

simplify270.0ms (4.4%)

Memory

4.9MiB live, 282.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	131	507
1	352	481
2	1078	429
3	4427	411
0	8158	378

Stop Event

1×	iter limit
1×	node limit

Counts

35 → 35

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

rewrite197.0ms (3.2%)

Memory

8.4MiB live, 243.4MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	184
0	47	180
1	192	176
2	1376	176
0	8730	176

Stop Event

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

Counts

16 → 641

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

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 #s(literal -8 binary64) (.f64 x x)) y) y #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal -8 binary64) (*.f64 x x)) y) y))))
(.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 y y) (/.f64 #s(literal -8 binary64) (*.f64 x x)) #s(literal -1 binary64)))))
(.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (/.f64 #s(literal -512 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y))))))
(.f64 (fma.f64 (pow.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 y y) (/.f64 #s(literal -8 binary64) (*.f64 x x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (/.f64 #s(literal -512 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 #s(literal -8 binary64) (*.f64 x x)) y) y)))))
(.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (/.f64 #s(literal -512 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (pow.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y))) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 #s(literal -8 binary64) (*.f64 x x)) y) y #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y) #s(literal 2 binary64)) (fma.f64 (.f64 y y) (/.f64 #s(literal -8 binary64) (.f64 x x)) #s(literal -1 binary64))) (/.f64 (pow.f64 (.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y) #s(literal 2 binary64)) (fma.f64 (.f64 y y) (/.f64 #s(literal -8 binary64) (.f64 x x)) #s(literal -1 binary64)))) (.f64 (pow.f64 (fma.f64 (.f64 y y) (/.f64 #s(literal -8 binary64) (.f64 x x)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 y y) (/.f64 #s(literal -8 binary64) (.f64 x x)) #s(literal -1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 (.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y) #s(literal 2 binary64)) (fma.f64 (.f64 y y) (/.f64 #s(literal -8 binary64) (.f64 x x)) #s(literal -1 binary64))) (pow.f64 (fma.f64 (.f64 y y) (/.f64 #s(literal -8 binary64) (*.f64 x x)) #s(literal -1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y) #s(literal 2 binary64)) (fma.f64 (.f64 y y) (/.f64 #s(literal -8 binary64) (.f64 x x)) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (.f64 y y) (/.f64 #s(literal -8 binary64) (.f64 x x)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y) #s(literal 2 binary64)) (fma.f64 (.f64 y y) (/.f64 #s(literal -8 binary64) (.f64 x x)) #s(literal -1 binary64))) (/.f64 (pow.f64 (.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y) #s(literal 2 binary64)) (fma.f64 (.f64 y y) (/.f64 #s(literal -8 binary64) (.f64 x x)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (fma.f64 (.f64 y y) (/.f64 #s(literal -8 binary64) (.f64 x x)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 y y) (/.f64 #s(literal -8 binary64) (.f64 x x)) #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 (/.f64 (pow.f64 (.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y) #s(literal 2 binary64)) (fma.f64 (.f64 y y) (/.f64 #s(literal -8 binary64) (.f64 x x)) #s(literal -1 binary64))) (pow.f64 (fma.f64 (.f64 y y) (/.f64 #s(literal -8 binary64) (*.f64 x x)) #s(literal -1 binary64)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 y y) (/.f64 #s(literal -8 binary64) (.f64 x x)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (/.f64 #s(literal -512 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal -8 binary64) (*.f64 x x)) y) y))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y) #s(literal 2 binary64)) (fma.f64 (.f64 y y) (/.f64 #s(literal -8 binary64) (.f64 x x)) #s(literal -1 binary64))) (.f64 (fma.f64 (.f64 y y) (/.f64 #s(literal -8 binary64) (.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 (.f64 y y) (/.f64 #s(literal -8 binary64) (.f64 x x)) #s(literal -1 binary64)) (fma.f64 (.f64 y y) (/.f64 #s(literal -8 binary64) (.f64 x x)) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (.f64 y y) (/.f64 #s(literal -8 binary64) (.f64 x x)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (/.f64 #s(literal -512 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (/.f64 #s(literal -512 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64))) (neg.f64 (fma.f64 (pow.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal -8 binary64) (*.f64 x x)) y) y)))))
(/.f64 (fma.f64 (pow.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 y y) (/.f64 #s(literal -8 binary64) (.f64 x x)) #s(literal -1 binary64)))
(/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (/.f64 #s(literal -512 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (/.f64 #s(literal -512 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (fma.f64 (pow.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal -8 binary64) (*.f64 x x)) y) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y))) (fma.f64 (pow.f64 y #s(literal 6 binary64)) (/.f64 #s(literal -512 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal 8 binary64) x) (/.f64 (*.f64 y y) (neg.f64 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 (.f64 #s(literal -8 binary64) y) y) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 (/.f64 #s(literal -8 binary64) x) (.f64 y y)) (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 8 binary64) (.f64 y y)) (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal -8 binary64) (.f64 y y)) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 y (.f64 #s(literal -8 binary64) y)) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (.f64 y y) (.f64 x #s(literal -1/8 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 y x) (/.f64 (*.f64 #s(literal -8 binary64) y) x) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -8 binary64) x) (/.f64 (*.f64 y y) x) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (*.f64 y y) #s(literal -1/8 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y) #s(literal 2 binary64)) (pow.f64 (fma.f64 (.f64 y y) (/.f64 #s(literal -8 binary64) (.f64 x x)) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (fma.f64 (.f64 y y) (/.f64 #s(literal -8 binary64) (*.f64 x x)) #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (.f64 (.f64 (/.f64 #s(literal -8 binary64) (*.f64 x x)) y) y) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 y y) (/.f64 #s(literal -8 binary64) (.f64 x x)) #s(literal 1 binary64))
(fma.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) (.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(literal -8 binary64) (/.f64 (.f64 y y) (.f64 x x)) #s(literal 1 binary64))
(fma.f64 #s(literal -8 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 y y)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal -8 binary64) (*.f64 x x)) y) y) #s(literal 1 binary64))
(fma.f64 y (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y))) (/.f64 (pow.f64 (.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal -8 binary64) (*.f64 x x)) y) y))))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y) #s(literal 2 binary64)) (fma.f64 (.f64 y y) (/.f64 #s(literal -8 binary64) (.f64 x x)) #s(literal -1 binary64))) (pow.f64 (fma.f64 (.f64 y y) (/.f64 #s(literal -8 binary64) (*.f64 x x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y) #s(literal 2 binary64)) (fma.f64 (.f64 y y) (/.f64 #s(literal -8 binary64) (.f64 x x)) #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 (.f64 y y) (/.f64 #s(literal -8 binary64) (*.f64 x x)) #s(literal -1 binary64)) #s(literal -1 binary64))))
(+.f64 (.f64 (.f64 (/.f64 #s(literal -8 binary64) (*.f64 x x)) y) y) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal -8 binary64) (*.f64 x x)) y) y))
(*.f64 (/.f64 #s(literal 8 binary64) x) (/.f64 y (neg.f64 x)))
(.f64 (/.f64 y #s(literal -1 binary64)) (.f64 #s(literal 8 binary64) (pow.f64 x #s(literal -2 binary64))))
(*.f64 (/.f64 y (neg.f64 x)) (/.f64 #s(literal 8 binary64) x))
(.f64 (/.f64 (.f64 #s(literal -8 binary64) y) x) (pow.f64 x #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 #s(literal -8 binary64) x) y) (pow.f64 x #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 8 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(.f64 (.f64 y (/.f64 #s(literal -8 binary64) x)) (pow.f64 x #s(literal -1 binary64)))
(.f64 (.f64 y #s(literal 8 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(.f64 (pow.f64 x #s(literal -1 binary64)) (.f64 y (/.f64 #s(literal -8 binary64) x)))
(*.f64 (/.f64 y x) (/.f64 #s(literal -8 binary64) x))
(.f64 (neg.f64 (.f64 #s(literal -8 binary64) y)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal -8 binary64) x) (/.f64 y x))
(.f64 (.f64 #s(literal -8 binary64) y) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 y #s(literal -1/8 binary64)))
(.f64 (/.f64 y (.f64 x x)) #s(literal -8 binary64))
(.f64 (.f64 (/.f64 #s(literal -8 binary64) (*.f64 x x)) y) #s(literal 1 binary64))
(.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y)
(.f64 #s(literal -8 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) y))
(.f64 #s(literal -8 binary64) (/.f64 y (.f64 x x)))
(.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -8 binary64) (*.f64 x x)) y))
(.f64 y (/.f64 #s(literal -8 binary64) (.f64 x x)))
(pow.f64 (.f64 (.f64 x #s(literal -1/8 binary64)) (/.f64 x y)) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) x)) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal -8 binary64) x) y)) (neg.f64 x))
(/.f64 (neg.f64 (.f64 #s(literal 8 binary64) y)) (.f64 x x))
(/.f64 (neg.f64 (*.f64 y (/.f64 #s(literal -8 binary64) x))) (neg.f64 x))
(/.f64 (neg.f64 (.f64 y #s(literal 8 binary64))) (.f64 x x))
(/.f64 (neg.f64 (neg.f64 (.f64 #s(literal -8 binary64) y))) (.f64 x x))
(/.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) x) x)
(/.f64 (*.f64 (/.f64 #s(literal -8 binary64) x) y) x)
(/.f64 (.f64 #s(literal 8 binary64) y) (.f64 (neg.f64 x) x))
(/.f64 (*.f64 y (/.f64 #s(literal -8 binary64) x)) x)
(/.f64 (.f64 y #s(literal 8 binary64)) (.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (.f64 #s(literal -8 binary64) y)) (.f64 (neg.f64 x) x))
(/.f64 (.f64 #s(literal -8 binary64) y) (.f64 x x))
(/.f64 (neg.f64 y) (neg.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64))))
(/.f64 #s(literal -8 binary64) (/.f64 (*.f64 x x) y))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 #s(literal -8 binary64) y) x)))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (/.f64 #s(literal -8 binary64) x) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 x) x) (.f64 #s(literal 8 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (/.f64 #s(literal -8 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 x) x) (.f64 y #s(literal 8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x #s(literal -1/8 binary64)) (/.f64 x y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) y))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal -1/8 binary64)) (/.f64 x y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 x #s(literal -1/8 binary64)) (/.f64 x y))))
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(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 x (pow.f64 (+.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) (neg.f64 (/.f64 (.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal -4 binary64) y) y (*.f64 x x)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (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 #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))))) #s(literal -1 binary64))) (neg.f64 (/.f64 (.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (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 #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))))) (/.f64 (pow.f64 x #s(literal 3 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)))))) (neg.f64 (/.f64 (.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (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 #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))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64)))) (.f64 #s(literal 4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))))) (neg.f64 (/.f64 (.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (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 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) (neg.f64 (/.f64 (.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (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 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (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))))) #s(literal -1 binary64))) (neg.f64 (/.f64 (.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal -4 binary64) y) y (*.f64 x x)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 4 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 x #s(literal 4 binary64))))) (/.f64 x (fma.f64 (neg.f64 x) x (.f64 (.f64 #s(literal 4 binary64) y) y))) (neg.f64 (/.f64 (.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal -4 binary64) y) y (*.f64 x x)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.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))))) (/.f64 x (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)))))) (neg.f64 (/.f64 (.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal -4 binary64) y) y (.f64 x x)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.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))))) (/.f64 x (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64)))) (.f64 #s(literal 4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))))) (neg.f64 (/.f64 (.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal -4 binary64) y) y (*.f64 x x)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 x (fma.f64 (.f64 #s(literal -4 binary64) y) y (.f64 x x))) (neg.f64 (/.f64 (.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal -4 binary64) y) y (*.f64 x x)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)))) (neg.f64 (/.f64 (.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal -4 binary64) y) y (.f64 x x)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 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 16 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal -4 binary64) y) y (.f64 x x)))))
(fma.f64 (/.f64 (.f64 x x) (/.f64 (-.f64 (pow.f64 x #s(literal 4 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 x #s(literal 4 binary64))))) (/.f64 (.f64 x x) (fma.f64 (neg.f64 x) x (.f64 (.f64 #s(literal 4 binary64) y) y))) (neg.f64 (/.f64 (.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal -4 binary64) y) y (*.f64 x x)))))
(fma.f64 (/.f64 (.f64 x x) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.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))))) (/.f64 (.f64 x x) (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)))))) (neg.f64 (/.f64 (.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal -4 binary64) y) y (.f64 x x)))))
(fma.f64 (/.f64 (.f64 x x) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.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))))) (/.f64 (.f64 x x) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64)))) (.f64 #s(literal 4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))))) (neg.f64 (/.f64 (.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (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 #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))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (neg.f64 x) x (.f64 (.f64 #s(literal 4 binary64) y) y))) (neg.f64 (/.f64 (.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal -4 binary64) y) y (*.f64 x x)))))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal -4 binary64) y) y (.f64 x x))) (neg.f64 (/.f64 (.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal -4 binary64) y) y (*.f64 x x)))))
(fma.f64 (/.f64 x (-.f64 (.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)))) (neg.f64 (/.f64 (.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (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 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) #s(literal -1 binary64))) (neg.f64 (/.f64 (.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal -4 binary64) y) y (.f64 x x)))))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (.f64 (.f64 #s(literal 4 binary64) y) y))
(fma.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)))) (/.f64 (.f64 x x) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)))) (neg.f64 (/.f64 (.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (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 #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)))) (neg.f64 (/.f64 (.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (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)))) (/.f64 (.f64 x x) (pow.f64 (+.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) (neg.f64 (/.f64 (.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (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)))) (/.f64 (.f64 x x) (pow.f64 (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))))) #s(literal -1 binary64))) (neg.f64 (/.f64 (.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal -4 binary64) y) y (*.f64 x x)))))
(fma.f64 (.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal -4 binary64) y) y (.f64 x x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (.f64 (*.f64 #s(literal 4 binary64) y) y)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal -4 binary64) y) y (.f64 x x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (.f64 #s(literal 16 binary64) (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))
(fma.f64 (.f64 y y) #s(literal 4 binary64) (.f64 x x))
(fma.f64 (.f64 x x) (/.f64 (.f64 x x) (fma.f64 (.f64 #s(literal -4 binary64) y) y (.f64 x x))) (neg.f64 (/.f64 (.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal -4 binary64) y) y (*.f64 x x)))))
(fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 (*.f64 #s(literal 4 binary64) y) y))
(fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 (*.f64 #s(literal 4 binary64) y) y))
(fma.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x) (.f64 (*.f64 #s(literal 4 binary64) y) y))
(fma.f64 #s(literal -1 binary64) (.f64 (.f64 y y) #s(literal -4 binary64)) (*.f64 x x))
(fma.f64 #s(literal 4 binary64) (.f64 y y) (.f64 x x))
(fma.f64 y (.f64 #s(literal 4 binary64) y) (.f64 x x))
(fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) y))
(-.f64 (/.f64 (/.f64 (.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (neg.f64 x) x (.f64 (.f64 #s(literal 4 binary64) y) y))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (.f64 (*.f64 #s(literal 4 binary64) y) y))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal -4 binary64) y) y (.f64 x x))) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal -4 binary64) y) y (*.f64 x x))) #s(literal 1 binary64)))
(-.f64 (/.f64 (.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (neg.f64 x) x (.f64 (.f64 #s(literal 4 binary64) y) y))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (.f64 (*.f64 #s(literal 4 binary64) y) y))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal -4 binary64) y) y (.f64 x x))) (/.f64 (.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal -4 binary64) y) y (*.f64 x x))))
(-.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 x) x (.f64 (.f64 y y) #s(literal -4 binary64))))
(-.f64 (.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 (neg.f64 x) x (.f64 (.f64 #s(literal 4 binary64) y) y))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (.f64 (*.f64 #s(literal 4 binary64) y) y)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal -4 binary64) y) y (.f64 x x))) (neg.f64 (/.f64 (.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal -4 binary64) y) y (*.f64 x x)))))
(+.f64 (.f64 x x) (.f64 (*.f64 #s(literal 4 binary64) y) y))
(+.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) (*.f64 x x))
(*.f64 #s(literal 4 binary64) y)
(*.f64 y #s(literal 4 binary64))

eval79.0ms (1.3%)

Memory: -4.2MiB live, 157.9MiB allocated
Compiler: Compiled 27 315 to 2 224 computations (91.9% saved)

prune52.0ms (0.9%)

Memory

-35.0MiB live, 66.1MiB allocated

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	704	3	707
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	706	6	712

Accuracy

99.9%

Counts

712 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.6%	(/.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)))
▶	47.9%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) x) x) y #s(literal 1 binary64)))
▶	45.2%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (.f64 #s(literal -8 binary64) y) (.f64 x x)) y #s(literal 1 binary64)))
▶	44.2%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 y #s(literal 2 binary64)) y)) #s(literal -1 binary64)))
✓	46.0%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
✓	54.2%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Compiler

Compiled 151 to 82 computations (45.7% saved)

simplify289.0ms (4.7%)

Memory

5.5MiB live, 82.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	183
0	42	183
1	81	177
2	159	177
3	379	177
4	726	177
5	1008	177
6	1260	177
7	1822	177
8	3611	177
9	4721	177
10	5143	177
11	5212	177
12	5250	177
13	5264	177
14	5558	177
15	5692	177
16	5692	177
17	5692	177
18	5692	177
19	5789	177
20	5961	177
21	6047	177
22	6059	177
23	6059	177
0	6059	171

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize86.0ms (1.4%)

Memory

-3.3MiB live, 110.8MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 #s(literal -8 binary64) y)
accuracy	0.12109375	(/.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) x) x)
accuracy	2.4320811666649838	(fma.f64 (/.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) x) x) y #s(literal 1 binary64))
accuracy	33.32048691396272	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) x) x) y #s(literal 1 binary64)))
accuracy	0.0	(*.f64 #s(literal -8 binary64) y)
accuracy	2.4320811666649838	(fma.f64 (/.f64 (.f64 #s(literal -8 binary64) y) (.f64 x x)) y #s(literal 1 binary64))
accuracy	8.422269555945215	(/.f64 (.f64 #s(literal -8 binary64) y) (.f64 x x))
accuracy	33.32048691396272	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (.f64 #s(literal -8 binary64) y) (.f64 x x)) y #s(literal 1 binary64)))
accuracy	0.0	(*.f64 x x)
accuracy	0.6493927576019616	(/.f64 #s(literal 1 binary64) (.f64 (.f64 y #s(literal 2 binary64)) y))
accuracy	12.417648493883306	(fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 y #s(literal 2 binary64)) y)) #s(literal -1 binary64))
accuracy	28.44601620256494	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 y #s(literal 2 binary64)) y)) #s(literal -1 binary64)))

Samples

46.0ms

256×

valid

Compiler

Compiled 153 to 28 computations (81.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-mult: 17.0ms (55.7% of total)

ival-div: 7.0ms (22.9% of total)

ival-add: 4.0ms (13.1% of total)

ival-sub: 1.0ms (3.3% of total)

exact: 1.0ms (3.3% of total)

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

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

series12.0ms (0.2%)

Memory

14.5MiB live, 14.5MiB allocated

Counts

12 → 25

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	((/ 1 (* (* y 2) y)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (* x x) (/ 1 (* (* y 2) y))) -1) (* x x) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ (* -8 y) (* x x)) y) 1) (/ (* -8 y) (* x x)) (* -8 y) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ (/ (* -8 y) x) x) y) 1) (/ (/ (* -8 y) x) x) (/ (* -8 y) x))
2.0ms	y	@	-inf	((/ 1 (* (* y 2) y)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (* x x) (/ 1 (* (* y 2) y))) -1) (* x x) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ (* -8 y) (* x x)) y) 1) (/ (* -8 y) (* x x)) (* -8 y) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ (/ (* -8 y) x) x) y) 1) (/ (/ (* -8 y) x) x) (/ (* -8 y) x))
2.0ms	y	@	0	((/ 1 (* (* y 2) y)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (* x x) (/ 1 (* (* y 2) y))) -1) (* x x) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ (* -8 y) (* x x)) y) 1) (/ (* -8 y) (* x x)) (* -8 y) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ (/ (* -8 y) x) x) y) 1) (/ (/ (* -8 y) x) x) (/ (* -8 y) x))
2.0ms	x	@	inf	((/ 1 (* (* y 2) y)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (* x x) (/ 1 (* (* y 2) y))) -1) (* x x) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ (* -8 y) (* x x)) y) 1) (/ (* -8 y) (* x x)) (* -8 y) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ (/ (* -8 y) x) x) y) 1) (/ (/ (* -8 y) x) x) (/ (* -8 y) x))
2.0ms	x	@	0	((/ 1 (* (* y 2) y)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (* x x) (/ 1 (* (* y 2) y))) -1) (* x x) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ (* -8 y) (* x x)) y) 1) (/ (* -8 y) (* x x)) (* -8 y) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ (/ (* -8 y) x) x) y) 1) (/ (/ (* -8 y) x) x) (/ (* -8 y) x))

simplify193.0ms (3.2%)

Memory

33.1MiB live, 218.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	122	461
1	319	405
2	977	353
3	3661	343
0	8122	316

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 25

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

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

rewrite225.0ms (3.7%)

Memory

-32.2MiB live, 259.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	156
0	42	154
1	169	150
2	1060	150
0	8338	144

Stop Event

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

Counts

12 → 408

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (.f64 y y) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 y y) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) y) y) #s(literal -1/2 binary64)) (pow.f64 (.f64 (*.f64 #s(literal 2 binary64) y) y) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 y #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y)))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y))
(pow.f64 (exp.f64 (log.f64 (.f64 (.f64 #s(literal 2 binary64) y) y))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) y) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) y) y) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (.f64 (.f64 #s(literal 2 binary64) y) y) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) y))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (pow.f64 y #s(literal -1 binary64))) (*.f64 #s(literal -2 binary64) y))
(/.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) y))
(/.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) y)) (neg.f64 y))
(/.f64 (/.f64 #s(literal 1/2 binary64) y) y)
(/.f64 #s(literal -1 binary64) (.f64 (.f64 y y) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 y #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 2 binary64) y) y))
(neg.f64 (/.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) y)) y))
(neg.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) (neg.f64 y)))
(neg.f64 (*.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y)) #s(literal 1 binary64)))
(neg.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y)))
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y)))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 #s(literal 2 binary64) y) y)) #s(literal -1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x (*.f64 y y)) #s(literal -1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) y) y) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x (.f64 y y))))))
(.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) y) y) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 x x) (*.f64 y y)) #s(literal -1/2 binary64) #s(literal -1 binary64))))
(.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) y) y) #s(literal -3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) y) y) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 (.f64 x x) (.f64 (.f64 y y) #s(literal -2 binary64)))))))
(.f64 (fma.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) y) y) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x (.f64 y y)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) y) y) #s(literal -3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x (.f64 y y))) (fma.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x (*.f64 y y)) #s(literal 1 binary64))))))
(.f64 (fma.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) y) y) #s(literal -3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (fma.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) y) y) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 (.f64 x x) (.f64 (.f64 y y) #s(literal -2 binary64)))) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x (.f64 y y)) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x (*.f64 y y)) #s(literal -1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) y) y) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x (.f64 y y)) #s(literal 1 binary64))) (/.f64 (.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) y) y) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x (.f64 y y)) #s(literal 1 binary64)))) (.f64 (pow.f64 (fma.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x (.f64 y y)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x (.f64 y y)) #s(literal 1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) y) y) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x (.f64 y y)) #s(literal 1 binary64))) (pow.f64 (fma.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x (*.f64 y y)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) y) y) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x (.f64 y y)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x (.f64 y y)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) y) y) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x (.f64 y y)) #s(literal 1 binary64))) (/.f64 (.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) y) y) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x (.f64 y y)) #s(literal 1 binary64))) (fma.f64 (pow.f64 (fma.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x (.f64 y y)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x (.f64 y y)) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (/.f64 (.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) y) y) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x (.f64 y y)) #s(literal 1 binary64))) (pow.f64 (fma.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x (*.f64 y y)) #s(literal 1 binary64)) #s(literal -1 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) y) y) #s(literal -3 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (-.f64 (fma.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) y) y) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 (.f64 x x) (.f64 (.f64 y y) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) y) y) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal -1 binary64) (.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x (*.f64 y y))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) y) y) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal -1/2 binary64) #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) y) y) #s(literal -3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) y) y) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 (.f64 x x) (.f64 (*.f64 y y) #s(literal -2 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) y) y) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x (.f64 y y)) #s(literal 1 binary64))) (.f64 (fma.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x (.f64 y y)) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x (.f64 y y)) #s(literal 1 binary64)) (fma.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x (.f64 y y)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) y) y) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal -1 binary64) (.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x (*.f64 y y)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) y) y) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))) (fma.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal -1/2 binary64) #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) y) y) #s(literal -3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x (.f64 y y))) (fma.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x (.f64 y y)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) y) y) #s(literal -3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 (fma.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) y) y) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 (.f64 x x) (.f64 (*.f64 y y) #s(literal -2 binary64))))))
(/.f64 (fma.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) y) y) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x (*.f64 y y)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) y) y) #s(literal -3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x (.f64 y y))) (fma.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x (.f64 y y)) #s(literal 1 binary64)))))
(/.f64 (fma.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) y) y) #s(literal -3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (-.f64 (fma.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) y) y) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 (.f64 x x) (.f64 (*.f64 y y) #s(literal -2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x (*.f64 y y)) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x (.f64 y y)))) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 (*.f64 #s(literal 2 binary64) y) y) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x (.f64 y y))) (fma.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x (.f64 y y)) #s(literal 1 binary64)))) (fma.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) y) y) #s(literal -3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x (*.f64 y y)) #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x (*.f64 y y)) #s(literal -1 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) y) y) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))) (fma.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x (*.f64 y y)) #s(literal 1 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) y) y) #s(literal -3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (-.f64 (fma.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) y) y) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 (.f64 x x) (.f64 (*.f64 y y) #s(literal -2 binary64))))))
(neg.f64 (/.f64 (fma.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) y) y) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal -1/2 binary64) #s(literal -1 binary64))))
(neg.f64 (/.f64 (fma.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) y) y) #s(literal -3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (neg.f64 (-.f64 (fma.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) y) y) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 (.f64 x x) (.f64 (*.f64 y y) #s(literal -2 binary64)))))))
(fma.f64 (.f64 x (pow.f64 (.f64 (.f64 #s(literal 2 binary64) y) y) #s(literal -1/2 binary64))) (.f64 x (pow.f64 (.f64 (.f64 #s(literal 2 binary64) y) y) #s(literal -1/2 binary64))) #s(literal -1 binary64))
(fma.f64 (.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) y) y) #s(literal -1/2 binary64)) x) (.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) y) y) #s(literal -1/2 binary64)) x) #s(literal -1 binary64))
(fma.f64 (/.f64 (*.f64 x x) #s(literal -1 binary64)) (neg.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y)) #s(literal -1 binary64))
(fma.f64 (/.f64 (.f64 x x) (.f64 #s(literal -2 binary64) y)) (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))
(fma.f64 (/.f64 (neg.f64 x) (*.f64 #s(literal 2 binary64) y)) (/.f64 x (neg.f64 y)) #s(literal -1 binary64))
(fma.f64 (/.f64 (.f64 x x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) y)) (/.f64 (.f64 x x) (neg.f64 y)) #s(literal -1 binary64))
(fma.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)) (/.f64 (neg.f64 x) y) #s(literal -1 binary64))
(fma.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x (*.f64 y y)) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (/.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 x (*.f64 y y)) (/.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 1/2 binary64) #s(literal -1 binary64))
(fma.f64 (/.f64 (.f64 x x) (neg.f64 y)) (/.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64))
(fma.f64 (/.f64 (neg.f64 x) y) (/.f64 x (*.f64 #s(literal -2 binary64) y)) #s(literal -1 binary64))
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 x) (.f64 (.f64 #s(literal 2 binary64) y) y)) #s(literal -1 binary64))
(fma.f64 (/.f64 x (neg.f64 y)) (/.f64 (neg.f64 x) (*.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (.f64 x x) (.f64 #s(literal -2 binary64) y)) #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 #s(literal 1/2 binary64) y) (.f64 x x)) (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y)) (*.f64 (neg.f64 x) x) #s(literal -1 binary64))
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x x) y)) #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x x) y)) (pow.f64 y #s(literal -1 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 (/.f64 #s(literal 1/2 binary64) y)) (/.f64 x y) #s(literal -1 binary64))
(fma.f64 (/.f64 x y) (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64))
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(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (.f64 (.f64 y (pow.f64 x #s(literal -2 binary64))) y) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 (/.f64 y x) (/.f64 (*.f64 #s(literal -8 binary64) y) x) #s(literal -1 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -512 binary64) (pow.f64 (.f64 (.f64 y (pow.f64 x #s(literal -2 binary64))) y) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 64 binary64) (pow.f64 (.f64 (.f64 y (pow.f64 x #s(literal -2 binary64))) y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (/.f64 x y)) (/.f64 #s(literal -8 binary64) x))))))
(neg.f64 (/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (.f64 (.f64 y (pow.f64 x #s(literal -2 binary64))) y) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 #s(literal 8 binary64) y) (.f64 y (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))))
(neg.f64 (/.f64 (fma.f64 #s(literal -512 binary64) (pow.f64 (.f64 (.f64 y (pow.f64 x #s(literal -2 binary64))) y) #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (.f64 (.f64 y (pow.f64 x #s(literal -2 binary64))) y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (/.f64 x y)) (/.f64 #s(literal -8 binary64) x)))))))
(fma.f64 (/.f64 (*.f64 #s(literal 8 binary64) (/.f64 y x)) #s(literal -1 binary64)) (/.f64 y x) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 (.f64 #s(literal -8 binary64) y) y) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 y (/.f64 x y)) (/.f64 #s(literal -8 binary64) x) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 #s(literal -8 binary64) y) #s(literal 1 binary64)) (.f64 y (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 y (neg.f64 x)) (*.f64 #s(literal 8 binary64) (/.f64 y x)) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 #s(literal 8 binary64) y) #s(literal -1 binary64)) (.f64 y (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 y #s(literal -1 binary64)) (.f64 #s(literal 8 binary64) (.f64 y (pow.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal -8 binary64) (pow.f64 x #s(literal -2 binary64))) (/.f64 (.f64 y y) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 8 binary64) (.f64 y y)) (neg.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 y (/.f64 x (*.f64 #s(literal 8 binary64) y))) (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
(fma.f64 (.f64 y (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal -8 binary64) y) #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 y (pow.f64 x #s(literal -2 binary64))) (/.f64 (.f64 #s(literal -8 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 (/.f64 (.f64 #s(literal -8 binary64) y) x) y) (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 #s(literal -8 binary64) y) y) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 y (pow.f64 (*.f64 #s(literal -8 binary64) y) #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (.f64 (/.f64 (.f64 #s(literal -8 binary64) y) x) y) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 64 binary64) (pow.f64 (.f64 (.f64 y (pow.f64 x #s(literal -2 binary64))) y) #s(literal 2 binary64))) (pow.f64 (fma.f64 (/.f64 y x) (/.f64 (.f64 #s(literal -8 binary64) y) x) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (fma.f64 (/.f64 y x) (/.f64 (*.f64 #s(literal -8 binary64) y) x) #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 y x) (/.f64 (*.f64 #s(literal -8 binary64) y) x) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -8 binary64) x) (/.f64 y (/.f64 x y)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -8 binary64) x) (/.f64 (*.f64 y y) x) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -8 binary64) x) (*.f64 (/.f64 y x) y) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 8 binary64) (/.f64 y x)) (/.f64 y (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 y (/.f64 x y)) (/.f64 #s(literal -8 binary64) x)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 #s(literal -8 binary64) y) x) (.f64 (pow.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64))
(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) (pow.f64 x #s(literal -2 binary64))) y) y #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal -8 binary64) y) (.f64 (pow.f64 x #s(literal -2 binary64)) y) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal -8 binary64) y) (.f64 y (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal -8 binary64) (/.f64 (.f64 y y) (.f64 x x)) #s(literal 1 binary64))
(fma.f64 #s(literal -8 binary64) (.f64 (.f64 y (pow.f64 x #s(literal -2 binary64))) y) #s(literal 1 binary64))
(fma.f64 y (.f64 (.f64 #s(literal -8 binary64) (pow.f64 x #s(literal -2 binary64))) y) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (/.f64 x y)) (/.f64 #s(literal -8 binary64) x)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 y (/.f64 x y)) (/.f64 #s(literal -8 binary64) x)))) (/.f64 (.f64 #s(literal 64 binary64) (pow.f64 (.f64 (.f64 y (pow.f64 x #s(literal -2 binary64))) y) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (/.f64 x y)) (/.f64 #s(literal -8 binary64) x)))))
(-.f64 (/.f64 (.f64 #s(literal 64 binary64) (pow.f64 (.f64 (.f64 y (pow.f64 x #s(literal -2 binary64))) y) #s(literal 2 binary64))) (fma.f64 (/.f64 y x) (/.f64 (.f64 #s(literal -8 binary64) y) x) #s(literal -1 binary64))) (pow.f64 (fma.f64 (/.f64 y x) (/.f64 (*.f64 #s(literal -8 binary64) y) x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(+.f64 (/.f64 (.f64 #s(literal 64 binary64) (pow.f64 (.f64 (.f64 y (pow.f64 x #s(literal -2 binary64))) y) #s(literal 2 binary64))) (fma.f64 (/.f64 y x) (/.f64 (.f64 #s(literal -8 binary64) y) x) #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 (/.f64 y x) (/.f64 (*.f64 #s(literal -8 binary64) y) x) #s(literal -1 binary64)) #s(literal -1 binary64))))
(+.f64 (*.f64 (/.f64 y (/.f64 x y)) (/.f64 #s(literal -8 binary64) x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (/.f64 x y)) (/.f64 #s(literal -8 binary64) x)))
(.f64 (pow.f64 (.f64 (/.f64 x (.f64 #s(literal -8 binary64) y)) x) #s(literal -1/2 binary64)) (pow.f64 (.f64 (/.f64 x (*.f64 #s(literal -8 binary64) y)) x) #s(literal -1/2 binary64)))
(.f64 (/.f64 (.f64 #s(literal -8 binary64) y) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (/.f64 (neg.f64 y) x) (/.f64 #s(literal -8 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 8 binary64) x) (/.f64 y (neg.f64 x)))
(*.f64 (/.f64 y (neg.f64 x)) (/.f64 #s(literal 8 binary64) x))
(*.f64 (/.f64 #s(literal -8 binary64) (neg.f64 x)) (/.f64 (neg.f64 y) x))
(.f64 (/.f64 (.f64 #s(literal 8 binary64) y) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64)))
(.f64 (/.f64 (.f64 #s(literal -8 binary64) y) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
(.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 8 binary64) (.f64 x x)))
(.f64 (.f64 #s(literal -8 binary64) (pow.f64 x #s(literal -2 binary64))) y)
(.f64 (.f64 (/.f64 #s(literal -8 binary64) x) y) (pow.f64 x #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) x) (.f64 #s(literal 8 binary64) (/.f64 y x)))
(.f64 #s(literal 8 binary64) (/.f64 (neg.f64 y) (.f64 x x)))
(*.f64 #s(literal 8 binary64) (/.f64 (neg.f64 (/.f64 y x)) x))
(.f64 (.f64 y (pow.f64 x #s(literal -2 binary64))) #s(literal -8 binary64))
(.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -8 binary64) y) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 #s(literal -8 binary64) y))
(.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (.f64 #s(literal -8 binary64) y) #s(literal -1 binary64))))
(.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (.f64 #s(literal -8 binary64) y) x))
(*.f64 (/.f64 y x) (/.f64 #s(literal -8 binary64) x))
(*.f64 (/.f64 #s(literal -8 binary64) x) (/.f64 y x))
(.f64 (.f64 #s(literal 8 binary64) y) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(.f64 (.f64 #s(literal 8 binary64) (/.f64 y x)) (/.f64 #s(literal -1 binary64) x))
(.f64 (/.f64 (.f64 #s(literal -8 binary64) y) x) (pow.f64 x #s(literal -1 binary64)))
(.f64 (.f64 (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal -2 binary64))) y) #s(literal 1 binary64))
(.f64 (.f64 #s(literal -8 binary64) y) (pow.f64 x #s(literal -2 binary64)))
(.f64 #s(literal -8 binary64) (.f64 y (pow.f64 x #s(literal -2 binary64))))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (*.f64 #s(literal 8 binary64) y)) x)))
(.f64 #s(literal -1 binary64) (.f64 #s(literal 8 binary64) (*.f64 y (pow.f64 x #s(literal -2 binary64)))))
(.f64 y (.f64 #s(literal -8 binary64) (pow.f64 x #s(literal -2 binary64))))
(.f64 #s(literal 1 binary64) (.f64 (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal -2 binary64))) y))
(pow.f64 (.f64 (/.f64 x (.f64 #s(literal -8 binary64) y)) x) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal -8 binary64) x) y)) (neg.f64 x))
(/.f64 (*.f64 (/.f64 #s(literal -8 binary64) x) y) x)
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (*.f64 #s(literal 8 binary64) y)))
(/.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 x (*.f64 #s(literal -8 binary64) y)))
(/.f64 (/.f64 y x) (*.f64 x #s(literal -1/8 binary64)))
(/.f64 (/.f64 #s(literal -8 binary64) x) (/.f64 x y))
(/.f64 (.f64 #s(literal 8 binary64) y) (.f64 (neg.f64 x) x))
(/.f64 (*.f64 #s(literal 8 binary64) (/.f64 y x)) (neg.f64 x))
(/.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) x) x)
(/.f64 (.f64 #s(literal -8 binary64) y) (.f64 x x))
(/.f64 #s(literal -8 binary64) (/.f64 (*.f64 x x) y))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 x (.f64 #s(literal 8 binary64) y)) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (/.f64 #s(literal -8 binary64) x) y)))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (.f64 #s(literal -8 binary64) y)) x))
(neg.f64 (/.f64 #s(literal -1 binary64) (.f64 (/.f64 x (.f64 #s(literal -8 binary64) y)) x)))
(neg.f64 (.f64 (pow.f64 x #s(literal -1 binary64)) (.f64 #s(literal 8 binary64) (/.f64 y x))))
(neg.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 8 binary64) (*.f64 y (pow.f64 x #s(literal -2 binary64))))))
(neg.f64 (.f64 (.f64 #s(literal 8 binary64) (*.f64 y (pow.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64)))
(neg.f64 (.f64 #s(literal 8 binary64) (.f64 y (pow.f64 x #s(literal -2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (neg.f64 x) x)) (.f64 #s(literal 8 binary64) (*.f64 y (pow.f64 x #s(literal -2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (.f64 #s(literal 8 binary64) (.f64 y (pow.f64 x #s(literal -2 binary64)))))
(-.f64 #s(literal 0 binary64) (.f64 #s(literal 8 binary64) (.f64 y (pow.f64 x #s(literal -2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 x (*.f64 #s(literal -8 binary64) y)) x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 x (.f64 #s(literal -8 binary64) y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x (*.f64 #s(literal -8 binary64) y)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 8 binary64) x))
(*.f64 #s(literal 8 binary64) (/.f64 (neg.f64 y) x))
(*.f64 #s(literal 8 binary64) (neg.f64 (/.f64 y x)))
(.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -8 binary64) y) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 x #s(literal -1 binary64)) (.f64 #s(literal -8 binary64) y))
(*.f64 (/.f64 y x) #s(literal -8 binary64))
(.f64 (.f64 #s(literal 8 binary64) y) (/.f64 #s(literal -1 binary64) x))
(.f64 (/.f64 (.f64 #s(literal -8 binary64) y) x) #s(literal 1 binary64))
(.f64 (.f64 #s(literal -8 binary64) y) (pow.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal -8 binary64) (neg.f64 (neg.f64 (/.f64 y x))))
(*.f64 #s(literal -8 binary64) (/.f64 y x))
(.f64 #s(literal -1 binary64) (.f64 #s(literal 8 binary64) (/.f64 y x)))
(*.f64 y (/.f64 #s(literal -8 binary64) x))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -8 binary64) y) x))
(pow.f64 (/.f64 x (*.f64 #s(literal -8 binary64) y)) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 8 binary64) y) (neg.f64 x))
(/.f64 (*.f64 #s(literal -8 binary64) y) x)
(/.f64 #s(literal -8 binary64) (/.f64 x y))
(/.f64 #s(literal -1 binary64) (/.f64 x (*.f64 #s(literal 8 binary64) y)))
(/.f64 y (*.f64 x #s(literal -1/8 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(literal -8 binary64) y)))
(neg.f64 (.f64 (.f64 #s(literal 8 binary64) (/.f64 y x)) #s(literal 1 binary64)))
(neg.f64 (*.f64 #s(literal 8 binary64) (/.f64 y x)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 #s(literal 8 binary64) (/.f64 y x)))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 8 binary64) (/.f64 y x)))
(exp.f64 (.f64 (log.f64 (/.f64 x (.f64 #s(literal -8 binary64) y))) #s(literal -1 binary64)))

eval48.0ms (0.8%)

Memory: -2.7MiB live, 118.1MiB allocated
Compiler: Compiled 12 344 to 1 173 computations (90.5% saved)

prune6.0ms (0.1%)

Memory

19.6MiB live, 19.6MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	330	1	331
Fresh	0	0	0
Picked	1	2	3
Done	0	3	3
Total	331	6	337

Accuracy

99.9%

Counts

337 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.6%	(/.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)))
✓	47.9%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) x) x) y #s(literal 1 binary64)))
▶	45.4%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 1/2 binary64) #s(literal -1 binary64)))
✓	45.2%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (.f64 #s(literal -8 binary64) y) (.f64 x x)) y #s(literal 1 binary64)))
✓	46.0%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
✓	54.2%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Compiler

Compiled 149 to 80 computations (46.3% saved)

simplify160.0ms (2.6%)

Memory

7.3MiB live, 43.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	57
0	21	57
1	43	57
2	98	57
3	184	57
4	298	57
5	448	57
6	625	57
7	904	57
8	1910	57
9	3292	57
10	3573	57
11	3638	57
12	3660	57
13	3672	57
14	3676	57
15	3984	57
16	4112	57
17	4112	57
18	4112	57
19	4120	57
20	4120	57
0	4120	55

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize66.0ms (1.1%)

Memory

1.6MiB live, 40.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y y)
accuracy	0.0	(*.f64 x x)
accuracy	16.693626538833293	(/.f64 (.f64 x x) (.f64 y y))
accuracy	28.44601620256494	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 1/2 binary64) #s(literal -1 binary64)))

Samples

59.0ms

256×

valid

Compiler

Compiled 49 to 17 computations (65.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-add: 35.0ms (68% of total)

ival-mult: 12.0ms (23.3% of total)

ival-div: 3.0ms (5.8% of total)

ival-sub: 1.0ms (1.9% of total)

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

exact: 0.0ms (0% of total)

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

series17.0ms (0.3%)

Memory

-26.5MiB live, 15.7MiB allocated

Counts

5 → 20

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 1/2 binary64) #s(literal -1 binary64)))
(fma.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 1/2 binary64) #s(literal -1 binary64))
(/.f64 (.f64 x x) (.f64 y y))
(*.f64 x x)
(*.f64 y 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) (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)))))
(* 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))))
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))
(/ (+ (* -1 (pow y 2)) (* 1/2 (pow x 2))) (pow y 2))
(pow y 2)
(- (* 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
12.0ms	y	@	inf	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ (* x x) (* y y)) 1/2) -1) (/ (* x x) (* y y)) (* x x) (* y y))
1.0ms	x	@	inf	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ (* x x) (* y y)) 1/2) -1) (/ (* x x) (* y y)) (* x x) (* y y))
1.0ms	x	@	-inf	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ (* x x) (* y y)) 1/2) -1) (/ (* x x) (* y y)) (* x x) (* y y))
1.0ms	x	@	0	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ (* x x) (* y y)) 1/2) -1) (/ (* x x) (* y y)) (* x x) (* y y))
1.0ms	y	@	-inf	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ (* x x) (* y y)) 1/2) -1) (/ (* x x) (* y y)) (* x x) (* y y))

simplify222.0ms (3.6%)

Memory

6.0MiB live, 233.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	111	408
1	298	362
2	925	310
3	3539	300
0	8368	275

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 20

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

rewrite203.0ms (3.3%)

Memory

16.4MiB live, 215.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	53
0	21	53
1	90	47
2	666	47
0	8747	45

Stop Event

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

Counts

5 → 182

Calls

Call 1

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

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

eval30.0ms (0.5%)

Memory: -11.6MiB live, 74.7MiB allocated
Compiler: Compiled 6 937 to 757 computations (89.1% saved)

prune8.0ms (0.1%)

Memory

-9.9MiB live, 27.7MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	196	0	196
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	196	6	202

Accuracy

99.9%

Counts

202 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.6%	(/.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)))
✓	47.9%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) x) x) y #s(literal 1 binary64)))
✓	45.4%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 1/2 binary64) #s(literal -1 binary64)))
✓	45.2%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (.f64 #s(literal -8 binary64) y) (.f64 x x)) y #s(literal 1 binary64)))
✓	46.0%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
✓	54.2%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Compiler

Compiled 409 to 133 computations (67.5% saved)

regimes18.0ms (0.3%)

Memory

5.7MiB live, 44.2MiB allocated

Counts

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

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

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

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

Calls

5 calls:

4.0ms	x
3.0ms	y
3.0ms	(.f64 (.f64 y #s(literal 4 binary64)) y)
3.0ms	(*.f64 x x)
3.0ms	(/.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
82.8%	4	`x`
82.9%	3	`y`
79.8%	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)))`
81.2%	3	`(*.f64 x x)`
82.9%	3	`(.f64 (.f64 y #s(literal 4 binary64)) y)`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes7.0ms (0.1%)

Memory

18.0MiB live, 18.0MiB 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 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) 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) (.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) (.f64 y y)) #s(literal 1/2 binary64) #s(literal -1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 y #s(literal 2 binary64)) 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)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) x) x) y #s(literal 1 binary64)))
(/.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)))

Outputs

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
82.7%	3	`y`
82.7%	3	`(.f64 (.f64 y #s(literal 4 binary64)) y)`

Compiler

Compiled 6 to 7 computations (-16.7% saved)

regimes16.0ms (0.3%)

Memory

-15.3MiB live, 29.0MiB allocated

Counts

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

Outputs

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

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

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

Calls

5 calls:

5.0ms	x
3.0ms	y
3.0ms	(.f64 (.f64 y #s(literal 4 binary64)) y)
3.0ms	(*.f64 x x)
2.0ms	(/.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
75.6%	2	`(*.f64 x x)`
75.6%	2	`x`
79.3%	3	`(/.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)))`
76.1%	4	`y`
76.1%	4	`(.f64 (.f64 y #s(literal 4 binary64)) y)`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes3.0ms (0%)

Memory

5.5MiB live, 5.5MiB allocated

Counts

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

Outputs

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

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

Calls

1 calls:

2.0ms

(/.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
79.3%	3	`(/.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)

regimes2.0ms (0%)

Memory

4.4MiB live, 4.4MiB allocated

Counts

4 → 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 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) 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) (.f64 x x)) y #s(literal 1 binary64)))

Outputs

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

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

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

Calls

1 calls:

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
79.1%	3	`(/.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)

regimes2.0ms (0%)

Memory

4.7MiB live, 4.7MiB allocated

Counts

3 → 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 (*.f64 (/.f64 #s(literal -8 binary64) (*.f64 x x)) y) y #s(literal 1 binary64)))

Outputs

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

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

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

Calls

1 calls:

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
78.8%	3	`(/.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)

regimes7.0ms (0.1%)

Memory

-21.3MiB live, 17.2MiB 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:

2.0ms	y
1.0ms	x
1.0ms	(.f64 (.f64 y #s(literal 4 binary64)) y)
1.0ms	(*.f64 x x)
1.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))

Results

Accuracy	Segments	Branch
54.2%	1	`y`
54.2%	1	`(.f64 (.f64 y #s(literal 4 binary64)) y)`
54.2%	1	`x`
54.2%	1	`(*.f64 x x)`
54.2%	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)))`

Compiler

Compiled 29 to 21 computations (27.6% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.4224054637512364e+282	1.4920099047763733e+294
0.0ms	0.0	5.8957e-320

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.4224054637512364e+282	1.4920099047763733e+294
0.0ms	1.5255536278802395e-202	3.2887458423385348e-199

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN
0.0ms	-0.9429076922785761	0.9999999992717323

Compiler

Compiled 22 to 14 computations (36.4% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN
0.0ms	-0.9429076922785761	0.9999999992717323

Compiler

Compiled 22 to 14 computations (36.4% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN
0.0ms	-0.9429076922785761	0.9999999992717323

Compiler

Compiled 22 to 14 computations (36.4% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN
0.0ms	-0.9429076922785761	0.9999999992717323

Compiler

Compiled 22 to 14 computations (36.4% saved)

simplify77.0ms (1.3%)

Memory

-4.0MiB live, 34.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	624
1	81	624
2	118	624
3	188	624
4	305	624
5	457	624
6	693	624
7	1098	624
8	1799	624
9	3988	624
10	4241	624
11	4251	624
12	4253	624
13	4254	624
14	4258	624
15	4261	624

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 0 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (/.f64 (.f64 #s(literal -8 binary64) y) x) x) y #s(literal 1 binary64))) (if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 4999999999999999776976758867680672137135910509455656406145286513092270051171899247993747169198343529904886398316453839048785277932554934376688051573834203877201790654817277398129088042191946101056488196398654247512479919893482671316298083093982265172114949794916231224645058195095552 binary64)) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y))) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))))
(if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 2206260905240795/11031304526203974597457456414861827591216226218170224705794538792432397774848431640257320003887617175667569787102671861633294128382337464639166223001902133228245297232354359845986844033174623155170927185464197384241152 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (/.f64 (.f64 #s(literal -8 binary64) y) x) x) y #s(literal 1 binary64))) (if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 4999999999999999776976758867680672137135910509455656406145286513092270051171899247993747169198343529904886398316453839048785277932554934376688051573834203877201790654817277398129088042191946101056488196398654247512479919893482671316298083093982265172114949794916231224645058195095552 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))) #s(literal -1 binary64))))
(if (<=.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))) #s(literal -1/2 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 1/2 binary64) #s(literal -1 binary64))) (if (<=.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))) #s(literal 2 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (/.f64 (.f64 #s(literal -8 binary64) y) x) x) 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 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y))) #s(literal -1/2 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 1/2 binary64) #s(literal -1 binary64))) (if (<=.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))) #s(literal 2 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (.f64 #s(literal -8 binary64) y) (.f64 x x)) 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 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y))) #s(literal -1/2 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)) (if (<=.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))) #s(literal 2 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (.f64 #s(literal -8 binary64) y) (.f64 x x)) 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 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y))) #s(literal -1/2 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)) (if (<=.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))) #s(literal 2 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Outputs
(if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 0 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (/.f64 (.f64 #s(literal -8 binary64) y) x) x) y #s(literal 1 binary64))) (if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 4999999999999999776976758867680672137135910509455656406145286513092270051171899247993747169198343529904886398316453839048785277932554934376688051573834203877201790654817277398129088042191946101056488196398654247512479919893482671316298083093982265172114949794916231224645058195095552 binary64)) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y))) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))))
(if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 2206260905240795/11031304526203974597457456414861827591216226218170224705794538792432397774848431640257320003887617175667569787102671861633294128382337464639166223001902133228245297232354359845986844033174623155170927185464197384241152 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (/.f64 (.f64 #s(literal -8 binary64) y) x) x) y #s(literal 1 binary64))) (if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 4999999999999999776976758867680672137135910509455656406145286513092270051171899247993747169198343529904886398316453839048785277932554934376688051573834203877201790654817277398129088042191946101056488196398654247512479919893482671316298083093982265172114949794916231224645058195095552 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))) #s(literal -1 binary64))))
(if (<=.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))) #s(literal -1/2 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 1/2 binary64) #s(literal -1 binary64))) (if (<=.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))) #s(literal 2 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (/.f64 (.f64 #s(literal -8 binary64) y) x) x) 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 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y))) #s(literal -1/2 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 1/2 binary64) #s(literal -1 binary64))) (if (<=.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))) #s(literal 2 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (.f64 #s(literal -8 binary64) y) (.f64 x x)) 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 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y))) #s(literal -1/2 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)) (if (<=.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))) #s(literal 2 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (.f64 #s(literal -8 binary64) y) (.f64 x x)) 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 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y))) #s(literal -1/2 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)) (if (<=.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))) #s(literal 2 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))

soundness927.0ms (15.2%)

Memory

20.0MiB live, 657.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	40
0	15	40
1	54	40
2	397	40
3	6363	40
0	8342	36
0	27	156
0	42	154
1	169	150
2	1060	150
0	8338	144
0	30	184
0	47	180
1	192	176
2	1376	176
0	8730	176
0	115	420
1	319	384
2	986	338
3	4120	334
0	8235	304

Stop Event

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

Compiler

Compiled 1 037 to 276 computations (73.4% saved)

preprocess196.0ms (3.2%)

Memory

9.0MiB live, 89.6MiB allocated

Remove

(abs x)

(abs y)

Compiler

Compiled 1 872 to 308 computations (83.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze2.0ms (0%)

sample983.0ms (16.1%)

explain120.0ms (2%)

preprocess234.0ms (3.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify56.0ms (0.9%)

localize43.0ms (0.7%)

series7.0ms (0.1%)

simplify192.0ms (3.1%)

rewrite285.0ms (4.7%)

eval111.0ms (1.8%)

prune45.0ms (0.7%)

simplify500.0ms (8.2%)

localize99.0ms (1.6%)

series19.0ms (0.3%)

simplify270.0ms (4.4%)

rewrite197.0ms (3.2%)

eval79.0ms (1.3%)

prune52.0ms (0.9%)

simplify289.0ms (4.7%)

localize86.0ms (1.4%)

series12.0ms (0.2%)

simplify193.0ms (3.2%)

rewrite225.0ms (3.7%)

eval48.0ms (0.8%)

prune6.0ms (0.1%)

simplify160.0ms (2.6%)

localize66.0ms (1.1%)

series17.0ms (0.3%)

simplify222.0ms (3.6%)

rewrite203.0ms (3.3%)

eval30.0ms (0.5%)

prune8.0ms (0.1%)

regimes18.0ms (0.3%)

regimes7.0ms (0.1%)

regimes16.0ms (0.3%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes7.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify77.0ms (1.3%)

soundness927.0ms (15.2%)

preprocess196.0ms (3.2%)

end0.0ms (0%)

Profiling