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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze2.0ms (0%)

Memory

5.3MiB live, 5.3MiB allocated; 0ms collecting garbage

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)

sample1.0s (15.3%)

Memory

17.4MiB live, 1 474.6MiB allocated; 304ms collecting garbage

Samples

712.0ms

8 256×

valid

Precisions

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

ival-mult: 234.0ms (55.2% of total)

ival-div: 92.0ms (21.7% of total)

ival-add: 42.0ms (9.9% of total)

ival-sub: 40.0ms (9.4% of total)

ival-true: 5.0ms (1.2% of total)

exact: 4.0ms (0.9% of total)

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

adjust: 2.0ms (0.5% of total)

Bogosity

explain139.0ms (2%)

Memory

30.9MiB live, 274.5MiB allocated; 25ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
122	-	-	`(/.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)))`
14	-	-	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`
0	-	-	`(.f64 (.f64 y #s(literal 4 binary64)) y)`
0	-	-	`(*.f64 y #s(literal 4 binary64))`
0	-	-	`#s(literal 4 binary64)`
0	-	-	`(*.f64 x x)`
0	-	-	`(+.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`
0	-	-	`y`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))`	o/o	110	0
↳	`(.f64 (.f64 y #s(literal 4 binary64)) y)`	overflow	60
↳	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`	overflow	110
↳	`(*.f64 x x)`	overflow	64
↳	`(.f64 (.f64 y #s(literal 4 binary64)) y)`	overflow	60
↳	`(+.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`	overflow	110
↳	`(*.f64 x x)`	overflow	64
`-.f64`	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`	nan-rescue	14	0
↳	`(*.f64 x x)`	overflow	64
↳	`(.f64 (.f64 y #s(literal 4 binary64)) y)`	overflow	60
`/.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	12	0
↳	`(.f64 (.f64 y #s(literal 4 binary64)) y)`	underflow	55
↳	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`	underflow	12
↳	`(*.f64 x x)`	underflow	55
↳	`(.f64 (.f64 y #s(literal 4 binary64)) y)`	underflow	55
↳	`(+.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`	underflow	12
↳	`(*.f64 x x)`	underflow	55

Confusion

	Predicted +	Predicted -
+	122	0
-	0	134

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	122	0	0
-	0	0	134

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	134
1	108
2	14

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

40.0ms

512×

valid

Compiler

Compiled 125 to 31 computations (75.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 10.0ms (48.7% of total)

ival-div: 5.0ms (24.4% of total)

ival-sub: 2.0ms (9.7% of total)

ival-add: 2.0ms (9.7% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

preprocess43.0ms (0.6%)

Memory

2.4MiB live, 49.5MiB allocated; 2ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs y)

(abs x)

Compiler

Compiled 19 to 9 computations (52.6% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.3%	(/.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)

simplify18.0ms (0.3%)

Memory

-27.5MiB live, 19.2MiB allocated; 4ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize23.0ms (0.3%)

Memory

33.6MiB live, 33.6MiB allocated; 0ms collecting garbage

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	3.144516800811441	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))
accuracy	29.93626051391448	(/.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

16.0ms

256×

valid

Compiler

Compiled 53 to 11 computations (79.2% saved)

Precisions

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

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

ival-div: 2.0ms (23.3% of total)

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

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

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series26.0ms (0.4%)

Memory

-35.3MiB live, 9.0MiB allocated; 9ms collecting garbage

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
20.0ms	y	@	0	((- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (* x x))
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))
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	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))

simplify235.0ms (3.5%)

Memory

7.5MiB live, 171.1MiB allocated; 81ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 24

Calls

Call 1

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

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

rewrite202.0ms (3%)

Memory

8.7MiB live, 349.9MiB allocated; 32ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 467

Calls

Call 1

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

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

eval56.0ms (0.8%)

Memory: 3.2MiB live, 144.7MiB allocated; 12ms collecting garbage
Compiler: Compiled 23 724 to 1 315 computations (94.5% saved)

prune47.0ms (0.7%)

Memory

-1.7MiB live, 44.0MiB allocated; 3ms collecting garbage

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	494	7	501
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	495	7	502

Accuracy

100.0%

Counts

502 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.1%	(fma.f64 (.f64 #s(literal -4 binary64) y) (/.f64 y (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) (.f64 (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) x))
▶	52.3%	(/.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)))
	51.8%	(.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) #s(literal 1 binary64)))
▶	49.8%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)))
▶	54.0%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64)))
▶	48.2%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
▶	52.1%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Compiler

Compiled 334 to 176 computations (47.3% saved)

simplify106.0ms (1.6%)

Memory

0.8MiB live, 93.2MiB allocated; 6ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize84.0ms (1.2%)

Memory

-33.6MiB live, 117.2MiB allocated; 39ms collecting garbage

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.0	(*.f64 #s(literal 4 binary64) y)
accuracy	3.144516800811441	(fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x))
accuracy	29.93626051391448	(/.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)))
accuracy	0.0	(/.f64 y x)
accuracy	0.01171875	(*.f64 #s(literal -8 binary64) (/.f64 y x))
accuracy	0.1171875	(fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))
accuracy	32.11155946614072	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)))
accuracy	33.18226016642046	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
accuracy	30.653304286784667	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
accuracy	0.0	(-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64))
accuracy	0.00390625	(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
accuracy	0.171875	(.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y))
accuracy	29.44872478881339	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64)))

Samples

55.0ms

256×

valid

Compiler

Compiled 185 to 31 computations (83.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-mult: 21.0ms (61.1% of total)

ival-div: 6.0ms (17.5% of total)

ival-add: 4.0ms (11.6% of total)

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

exact: 1.0ms (2.9% of total)

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

adjust: 0.0ms (0% of total)

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

series43.0ms (0.6%)

Memory

-5.2MiB live, 38.3MiB allocated; 15ms collecting garbage

Counts

15 → 30

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
27.0ms	y	@	-inf	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (* (* 1/2 (/ x y)) (/ x y)) 1) (* (* 1/2 (/ x y)) (/ x y)) (* 1/2 (/ x y)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (* -8 (/ y x)) (/ y x)) 1) (* -8 (/ y x)) (/ y x) (/ (+ (* -4 (* y y)) (* x x)) (+ (* (* 4 y) y) (* x x))) (+ (* -4 (* y y)) (* x x)) (* y y) (* x x) (* 4 y))
4.0ms	x	@	inf	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (* (* 1/2 (/ x y)) (/ x y)) 1) (* (* 1/2 (/ x y)) (/ x y)) (* 1/2 (/ x y)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (* -8 (/ y x)) (/ y x)) 1) (* -8 (/ y x)) (/ y x) (/ (+ (* -4 (* y y)) (* x x)) (+ (* (* 4 y) y) (* x x))) (+ (* -4 (* y y)) (* x x)) (* y y) (* x x) (* 4 y))
3.0ms	x	@	0	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (* (* 1/2 (/ x y)) (/ x y)) 1) (* (* 1/2 (/ x y)) (/ x y)) (* 1/2 (/ x y)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (* -8 (/ y x)) (/ y x)) 1) (* -8 (/ y x)) (/ y x) (/ (+ (* -4 (* y y)) (* x x)) (+ (* (* 4 y) y) (* x x))) (+ (* -4 (* y y)) (* x x)) (* y y) (* x x) (* 4 y))
3.0ms	y	@	inf	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (* (* 1/2 (/ x y)) (/ x y)) 1) (* (* 1/2 (/ x y)) (/ x y)) (* 1/2 (/ x y)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (* -8 (/ y x)) (/ y x)) 1) (* -8 (/ y x)) (/ y x) (/ (+ (* -4 (* y y)) (* x x)) (+ (* (* 4 y) y) (* x x))) (+ (* -4 (* y y)) (* x x)) (* y y) (* x x) (* 4 y))
3.0ms	y	@	0	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (* (* 1/2 (/ x y)) (/ x y)) 1) (* (* 1/2 (/ x y)) (/ x y)) (* 1/2 (/ x y)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (* -8 (/ y x)) (/ y x)) 1) (* -8 (/ y x)) (/ y x) (/ (+ (* -4 (* y y)) (* x x)) (+ (* (* 4 y) y) (* x x))) (+ (* -4 (* y y)) (* x x)) (* y y) (* x x) (* 4 y))

simplify224.0ms (3.3%)

Memory

40.7MiB live, 212.2MiB allocated; 54ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

30 → 30

Calls

Call 1

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

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

rewrite353.0ms (5.2%)

Memory

-20.2MiB live, 566.0MiB allocated; 86ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

15 → 779

Calls

Call 1

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

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

eval143.0ms (2.1%)

Memory: 32.5MiB live, 269.4MiB allocated; 45ms collecting garbage
Compiler: Compiled 36 316 to 2 164 computations (94% saved)

prune19.0ms (0.3%)

Memory

-31.4MiB live, 59.2MiB allocated; 8ms collecting garbage

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	830	2	832
Fresh	0	2	2
Picked	1	4	5
Done	0	0	0
Total	831	8	839

Accuracy

100.0%

Counts

839 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.1%	(fma.f64 (.f64 #s(literal -4 binary64) y) (/.f64 y (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) (.f64 (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) x))
✓	52.3%	(/.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)))
▶	51.8%	(.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) #s(literal 1 binary64)))
▶	53.9%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64)))
✓	49.8%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)))
▶	47.7%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) (*.f64 y y)) #s(literal 1 binary64)))
✓	48.2%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
✓	52.1%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Compiler

Compiled 197 to 105 computations (46.7% saved)

simplify309.0ms (4.6%)

Memory

20.9MiB live, 163.7MiB allocated; 23ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	273
0	62	260
1	129	258
2	326	254
3	1070	254
4	3015	254
5	4503	254
6	4819	254
7	4963	254
8	5033	254
9	5119	254
10	5125	254
11	5129	254
12	5184	254
13	5184	254
14	5226	254
15	5227	254
16	5229	254
17	5229	254
18	5487	254
19	5731	254
20	5778	254
21	5778	254
22	5778	254
23	5826	254
24	6108	254
25	6108	254
0	6108	254

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize109.0ms (1.6%)

Memory

0.6MiB live, 159.1MiB allocated; 30ms collecting garbage

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.1171875	(fma.f64 (.f64 #s(literal -4 binary64) y) (/.f64 y (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) (.f64 (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) x))
accuracy	2.0500511211530066	(.f64 (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) y) y (*.f64 x x))) x)
accuracy	18.098386806765124	(/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)))
accuracy	18.40061090383666	(/.f64 y (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)))
accuracy	0.0	(*.f64 #s(literal 4 binary64) y)
accuracy	0.7459590486749883	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)))
accuracy	3.144516800811441	(fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x))
accuracy	30.275437746014	(.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) #s(literal 1 binary64)))
accuracy	0.0	(/.f64 #s(literal 1/2 binary64) y)
accuracy	0.11328125	(*.f64 x (/.f64 x y))
accuracy	1.9332260137776736	(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64))
accuracy	29.44872478881339	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64)))
accuracy	0.0	(*.f64 y y)
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	14.681086392767314	(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) (*.f64 y y))
accuracy	29.44872478881339	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) (*.f64 y y)) #s(literal 1 binary64)))

Samples

64.0ms

256×

valid

Compiler

Compiled 266 to 39 computations (85.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-mult: 25.0ms (54.2% of total)

ival-div: 13.0ms (28.2% of total)

ival-add: 5.0ms (10.8% of total)

ival-sub: 2.0ms (4.3% of total)

exact: 1.0ms (2.2% of total)

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

adjust: 0.0ms (0% of total)

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

series31.0ms (0.5%)

Memory

-10.6MiB live, 79.8MiB allocated; 11ms collecting garbage

Counts

21 → 97

Calls

Call 1

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

Outputs
-1
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1)
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1)
(* 1/2 (/ (pow x 2) (pow y 2)))
(* 1/2 (pow x 2))
(/ (pow x 2) y)
(/ 1/4 (pow y 2))
(+ (* -1/16 (/ (pow x 2) (pow y 4))) (* 1/4 (/ 1 (pow y 2))))
(+ (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow y 6))) (* 1/16 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2))))
(+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/256 (/ (pow x 2) (pow y 8))) (* 1/64 (/ 1 (pow y 6))))) (* 1/16 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2))))
(* -4 (pow y 2))
(+ (* -4 (pow y 2)) (pow x 2))
(/ 1/4 y)
(+ (* -1/16 (/ (pow x 2) (pow y 3))) (* 1/4 (/ 1 y)))
(+ (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow y 5))) (* 1/16 (/ 1 (pow y 3))))) (* 1/4 (/ 1 y)))
(+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/256 (/ (pow x 2) (pow y 7))) (* 1/64 (/ 1 (pow y 5))))) (* 1/16 (/ 1 (pow y 3))))) (* 1/4 (/ 1 y)))
(* 4 (pow y 2))
(+ (* 4 (pow y 2)) (pow x 2))
(* 1/2 x)
(* 1/4 (/ x (pow y 2)))
(* x (+ (* -1/16 (/ (pow x 2) (pow y 4))) (* 1/4 (/ 1 (pow y 2)))))
(* x (+ (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow y 6))) (* 1/16 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2)))))
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/256 (/ (pow x 2) (pow y 8))) (* 1/64 (/ 1 (pow y 6))))) (* 1/16 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2)))))
(* 1/4 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (+ (* -1/16 (/ (pow x 2) (pow y 4))) (* 1/4 (/ 1 (pow y 2)))))
(* (pow x 2) (+ (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow y 6))) (* 1/16 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2)))))
(* (pow x 2) (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/256 (/ (pow x 2) (pow y 8))) (* 1/64 (/ 1 (pow y 6))))) (* 1/16 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2)))))
1
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))
(/ 1 (pow x 2))
(/ (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (pow x 2))
(/ (- (+ 1 (* 16 (/ (pow y 4) (pow x 4)))) (* 4 (/ (pow y 2) (pow x 2)))) (pow x 2))
(/ (- (+ 1 (* -64 (/ (pow y 6) (pow x 6)))) (+ (* -16 (/ (pow y 4) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2))))) (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (pow y 4) (pow x 4))))) (+ (* -16 (/ (pow y 4) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
(- (+ 1 (+ (* -64 (/ (pow y 6) (pow x 6))) (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (pow y 4) (pow x 4)))))) (+ (* -16 (/ (pow y 4) (pow x 4))) (+ (* 4 (/ (pow y 2) (pow x 2))) (* 64 (/ (pow y 6) (pow x 6))))))
(/ y (pow x 2))
(/ (+ y (* -4 (/ (pow y 3) (pow x 2)))) (pow x 2))
(/ (- (+ y (* 16 (/ (pow y 5) (pow x 4)))) (* 4 (/ (pow y 3) (pow x 2)))) (pow x 2))
(/ (- (+ y (* -64 (/ (pow y 7) (pow x 6)))) (+ (* -16 (/ (pow y 5) (pow x 4))) (* 4 (/ (pow y 3) (pow x 2))))) (pow x 2))
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(/ 1 x)
(/ (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) x)
(/ (- (+ 1 (* 16 (/ (pow y 4) (pow x 4)))) (* 4 (/ (pow y 2) (pow x 2)))) x)
(/ (- (+ 1 (* -64 (/ (pow y 6) (pow x 6)))) (+ (* -16 (/ (pow y 4) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2))))) x)
(+ 1 (* -4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (* 16 (/ (pow y 4) (pow x 4)))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (* -64 (/ (pow y 6) (pow x 6)))) (+ (* -16 (/ (pow y 4) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
(* -1 (/ (- (* 4 (/ (pow y 2) (pow x 2))) 1) x))
(* -1 (/ (- (* -16 (/ (pow y 4) (pow x 4))) (+ 1 (* -4 (/ (pow y 2) (pow x 2))))) x))
(* -1 (/ (- (* 64 (/ (pow y 6) (pow x 6))) (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (pow y 4) (pow x 4)))))) x))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))
(/ (+ (* -1 (pow y 2)) (* 1/2 (pow x 2))) (pow y 2))
(/ 1/2 y)
(+ (* -4 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 2)))
(+ (* (pow y 2) (- (* 16 (/ (pow y 2) (pow x 6))) (* 4 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -64 (/ (pow y 2) (pow x 8))) (* 16 (/ 1 (pow x 6))))) (* 4 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))
(pow y 2)
(* -4 y)
(* y (+ (* -4 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 2))))
(* y (+ (* (pow y 2) (- (* 16 (/ (pow y 2) (pow x 6))) (* 4 (/ 1 (pow x 4))))) (/ 1 (pow x 2))))
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -64 (/ (pow y 2) (pow x 8))) (* 16 (/ 1 (pow x 6))))) (* 4 (/ 1 (pow x 4))))) (/ 1 (pow x 2))))
(* 4 y)
(+ (* -4 (/ (pow y 2) (pow x 3))) (/ 1 x))
(+ (* (pow y 2) (- (* 16 (/ (pow y 2) (pow x 5))) (* 4 (/ 1 (pow x 3))))) (/ 1 x))
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -64 (/ (pow y 2) (pow x 7))) (* 16 (/ 1 (pow x 5))))) (* 4 (/ 1 (pow x 3))))) (/ 1 x))
(+ 1 (* (pow y 2) (- (* 16 (/ (pow y 2) (pow x 4))) (* 4 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -64 (/ (pow y 2) (pow x 6))) (* 16 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 2))))))
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))
(/ (+ 1/4 (* -1/16 (/ (pow x 2) (pow y 2)))) (pow y 2))
(/ (- (+ 1/4 (* 1/64 (/ (pow x 4) (pow y 4)))) (* 1/16 (/ (pow x 2) (pow y 2)))) (pow y 2))
(/ (- (+ 1/4 (* -1/256 (/ (pow x 6) (pow y 6)))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/16 (/ (pow x 2) (pow y 2))))) (pow y 2))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(- (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* 1/32 (/ (pow x 6) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/8 (/ (pow x 4) (pow y 4))))))
(/ (+ 1/4 (* -1/16 (/ (pow x 2) (pow y 2)))) y)
(/ (- (+ 1/4 (* 1/64 (/ (pow x 4) (pow y 4)))) (* 1/16 (/ (pow x 2) (pow y 2)))) y)
(/ (- (+ 1/4 (* -1/256 (/ (pow x 6) (pow y 6)))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/16 (/ (pow x 2) (pow y 2))))) y)
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(/ (+ (* -1/16 (/ (pow x 3) (pow y 2))) (* 1/4 x)) (pow y 2))
(/ (- (+ (* 1/64 (/ (pow x 5) (pow y 4))) (* 1/4 x)) (* 1/16 (/ (pow x 3) (pow y 2)))) (pow y 2))
(/ (- (+ (* -1/256 (/ (pow x 7) (pow y 6))) (* 1/4 x)) (+ (* -1/64 (/ (pow x 5) (pow y 4))) (* 1/16 (/ (pow x 3) (pow y 2))))) (pow y 2))
(/ (+ (* -1/16 (/ (pow x 4) (pow y 2))) (* 1/4 (pow x 2))) (pow y 2))
(/ (- (+ (* 1/64 (/ (pow x 6) (pow y 4))) (* 1/4 (pow x 2))) (* 1/16 (/ (pow x 4) (pow y 2)))) (pow y 2))
(/ (- (+ (* -1/256 (/ (pow x 8) (pow y 6))) (* 1/4 (pow x 2))) (+ (* -1/64 (/ (pow x 6) (pow y 4))) (* 1/16 (/ (pow x 4) (pow y 2))))) (pow y 2))
(* -1 (/ (- (* 1/16 (/ (pow x 2) (pow y 2))) 1/4) y))
(* -1 (/ (- (* -1/64 (/ (pow x 4) (pow y 4))) (+ 1/4 (* -1/16 (/ (pow x 2) (pow y 2))))) y))
(* -1 (/ (- (* 1/256 (/ (pow x 6) (pow y 6))) (+ 1/4 (+ (* -1/16 (/ (pow x 2) (pow y 2))) (* 1/64 (/ (pow x 4) (pow y 4)))))) y))

Calls

6 calls:

Time	Variable		Point	Expression
10.0ms	x	@	0	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (/ (* (* 1/2 x) x) (* y y)) 1) (/ (* (* 1/2 x) x) (* y y)) (* (* 1/2 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)) (* (/ 1 (+ (* (* 4 y) y) (* x x))) 1)) (* (/ 1 (+ (* (* 4 y) y) (* x x))) 1) (+ (* -4 (* y y)) (* x x)) (* y y) (+ (* (* -4 y) (/ y (+ (* (* 4 y) y) (* x x)))) (* (/ x (+ (* (* 4 y) y) (* x x))) x)) (* -4 y) (/ y (+ (* (* 4 y) y) (* x x))) (+ (* (* 4 y) y) (* x x)) (* 1/2 x) (/ 1 (+ (* (* 4 y) y) (* x x))) (* 4 y) (/ x (+ (* (* 4 y) y) (* x x))) (* (/ x (+ (* (* 4 y) y) (* x x))) x))
6.0ms	y	@	inf	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (/ (* (* 1/2 x) x) (* y y)) 1) (/ (* (* 1/2 x) x) (* y y)) (* (* 1/2 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)) (* (/ 1 (+ (* (* 4 y) y) (* x x))) 1)) (* (/ 1 (+ (* (* 4 y) y) (* x x))) 1) (+ (* -4 (* y y)) (* x x)) (* y y) (+ (* (* -4 y) (/ y (+ (* (* 4 y) y) (* x x)))) (* (/ x (+ (* (* 4 y) y) (* x x))) x)) (* -4 y) (/ y (+ (* (* 4 y) y) (* x x))) (+ (* (* 4 y) y) (* x x)) (* 1/2 x) (/ 1 (+ (* (* 4 y) y) (* x x))) (* 4 y) (/ x (+ (* (* 4 y) y) (* x x))) (* (/ x (+ (* (* 4 y) y) (* x x))) x))
4.0ms	x	@	inf	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (/ (* (* 1/2 x) x) (* y y)) 1) (/ (* (* 1/2 x) x) (* y y)) (* (* 1/2 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)) (* (/ 1 (+ (* (* 4 y) y) (* x x))) 1)) (* (/ 1 (+ (* (* 4 y) y) (* x x))) 1) (+ (* -4 (* y y)) (* x x)) (* y y) (+ (* (* -4 y) (/ y (+ (* (* 4 y) y) (* x x)))) (* (/ x (+ (* (* 4 y) y) (* x x))) x)) (* -4 y) (/ y (+ (* (* 4 y) y) (* x x))) (+ (* (* 4 y) y) (* x x)) (* 1/2 x) (/ 1 (+ (* (* 4 y) y) (* x x))) (* 4 y) (/ x (+ (* (* 4 y) y) (* x x))) (* (/ x (+ (* (* 4 y) y) (* x x))) x))
3.0ms	y	@	-inf	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (/ (* (* 1/2 x) x) (* y y)) 1) (/ (* (* 1/2 x) x) (* y y)) (* (* 1/2 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)) (* (/ 1 (+ (* (* 4 y) y) (* x x))) 1)) (* (/ 1 (+ (* (* 4 y) y) (* x x))) 1) (+ (* -4 (* y y)) (* x x)) (* y y) (+ (* (* -4 y) (/ y (+ (* (* 4 y) y) (* x x)))) (* (/ x (+ (* (* 4 y) y) (* x x))) x)) (* -4 y) (/ y (+ (* (* 4 y) y) (* x x))) (+ (* (* 4 y) y) (* x x)) (* 1/2 x) (/ 1 (+ (* (* 4 y) y) (* x x))) (* 4 y) (/ x (+ (* (* 4 y) y) (* x x))) (* (/ x (+ (* (* 4 y) y) (* x x))) x))
3.0ms	y	@	0	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (/ (* (* 1/2 x) x) (* y y)) 1) (/ (* (* 1/2 x) x) (* y y)) (* (* 1/2 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)) (* (/ 1 (+ (* (* 4 y) y) (* x x))) 1)) (* (/ 1 (+ (* (* 4 y) y) (* x x))) 1) (+ (* -4 (* y y)) (* x x)) (* y y) (+ (* (* -4 y) (/ y (+ (* (* 4 y) y) (* x x)))) (* (/ x (+ (* (* 4 y) y) (* x x))) x)) (* -4 y) (/ y (+ (* (* 4 y) y) (* x x))) (+ (* (* 4 y) y) (* x x)) (* 1/2 x) (/ 1 (+ (* (* 4 y) y) (* x x))) (* 4 y) (/ x (+ (* (* 4 y) y) (* x x))) (* (/ x (+ (* (* 4 y) y) (* x x))) x))

simplify319.0ms (4.7%)

Memory

22.1MiB live, 309.9MiB allocated; 35ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	370	2029
1	1123	1961
2	3612	1913
0	8265	1774

Stop Event

1×	iter limit
1×	node limit

Counts

97 → 97

Calls

Call 1

Inputs
-1
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1)
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1)
(* 1/2 (/ (pow x 2) (pow y 2)))
(* 1/2 (pow x 2))
(/ (pow x 2) y)
(/ 1/4 (pow y 2))
(+ (* -1/16 (/ (pow x 2) (pow y 4))) (* 1/4 (/ 1 (pow y 2))))
(+ (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow y 6))) (* 1/16 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2))))
(+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/256 (/ (pow x 2) (pow y 8))) (* 1/64 (/ 1 (pow y 6))))) (* 1/16 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2))))
(* -4 (pow y 2))
(+ (* -4 (pow y 2)) (pow x 2))
(/ 1/4 y)
(+ (* -1/16 (/ (pow x 2) (pow y 3))) (* 1/4 (/ 1 y)))
(+ (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow y 5))) (* 1/16 (/ 1 (pow y 3))))) (* 1/4 (/ 1 y)))
(+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/256 (/ (pow x 2) (pow y 7))) (* 1/64 (/ 1 (pow y 5))))) (* 1/16 (/ 1 (pow y 3))))) (* 1/4 (/ 1 y)))
(* 4 (pow y 2))
(+ (* 4 (pow y 2)) (pow x 2))
(* 1/2 x)
(* 1/4 (/ x (pow y 2)))
(* x (+ (* -1/16 (/ (pow x 2) (pow y 4))) (* 1/4 (/ 1 (pow y 2)))))
(* x (+ (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow y 6))) (* 1/16 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2)))))
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/256 (/ (pow x 2) (pow y 8))) (* 1/64 (/ 1 (pow y 6))))) (* 1/16 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2)))))
(* 1/4 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (+ (* -1/16 (/ (pow x 2) (pow y 4))) (* 1/4 (/ 1 (pow y 2)))))
(* (pow x 2) (+ (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow y 6))) (* 1/16 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2)))))
(* (pow x 2) (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/256 (/ (pow x 2) (pow y 8))) (* 1/64 (/ 1 (pow y 6))))) (* 1/16 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2)))))
1
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))
(/ 1 (pow x 2))
(/ (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (pow x 2))
(/ (- (+ 1 (* 16 (/ (pow y 4) (pow x 4)))) (* 4 (/ (pow y 2) (pow x 2)))) (pow x 2))
(/ (- (+ 1 (* -64 (/ (pow y 6) (pow x 6)))) (+ (* -16 (/ (pow y 4) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2))))) (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (pow y 4) (pow x 4))))) (+ (* -16 (/ (pow y 4) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
(- (+ 1 (+ (* -64 (/ (pow y 6) (pow x 6))) (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (pow y 4) (pow x 4)))))) (+ (* -16 (/ (pow y 4) (pow x 4))) (+ (* 4 (/ (pow y 2) (pow x 2))) (* 64 (/ (pow y 6) (pow x 6))))))
(/ y (pow x 2))
(/ (+ y (* -4 (/ (pow y 3) (pow x 2)))) (pow x 2))
(/ (- (+ y (* 16 (/ (pow y 5) (pow x 4)))) (* 4 (/ (pow y 3) (pow x 2)))) (pow x 2))
(/ (- (+ y (* -64 (/ (pow y 7) (pow x 6)))) (+ (* -16 (/ (pow y 5) (pow x 4))) (* 4 (/ (pow y 3) (pow x 2))))) (pow x 2))
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(/ 1 x)
(/ (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) x)
(/ (- (+ 1 (* 16 (/ (pow y 4) (pow x 4)))) (* 4 (/ (pow y 2) (pow x 2)))) x)
(/ (- (+ 1 (* -64 (/ (pow y 6) (pow x 6)))) (+ (* -16 (/ (pow y 4) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2))))) x)
(+ 1 (* -4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (* 16 (/ (pow y 4) (pow x 4)))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (* -64 (/ (pow y 6) (pow x 6)))) (+ (* -16 (/ (pow y 4) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
(* -1 (/ (- (* 4 (/ (pow y 2) (pow x 2))) 1) x))
(* -1 (/ (- (* -16 (/ (pow y 4) (pow x 4))) (+ 1 (* -4 (/ (pow y 2) (pow x 2))))) x))
(* -1 (/ (- (* 64 (/ (pow y 6) (pow x 6))) (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (pow y 4) (pow x 4)))))) x))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))
(/ (+ (* -1 (pow y 2)) (* 1/2 (pow x 2))) (pow y 2))
(/ 1/2 y)
(+ (* -4 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 2)))
(+ (* (pow y 2) (- (* 16 (/ (pow y 2) (pow x 6))) (* 4 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -64 (/ (pow y 2) (pow x 8))) (* 16 (/ 1 (pow x 6))))) (* 4 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))
(pow y 2)
(* -4 y)
(* y (+ (* -4 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 2))))
(* y (+ (* (pow y 2) (- (* 16 (/ (pow y 2) (pow x 6))) (* 4 (/ 1 (pow x 4))))) (/ 1 (pow x 2))))
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -64 (/ (pow y 2) (pow x 8))) (* 16 (/ 1 (pow x 6))))) (* 4 (/ 1 (pow x 4))))) (/ 1 (pow x 2))))
(* 4 y)
(+ (* -4 (/ (pow y 2) (pow x 3))) (/ 1 x))
(+ (* (pow y 2) (- (* 16 (/ (pow y 2) (pow x 5))) (* 4 (/ 1 (pow x 3))))) (/ 1 x))
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -64 (/ (pow y 2) (pow x 7))) (* 16 (/ 1 (pow x 5))))) (* 4 (/ 1 (pow x 3))))) (/ 1 x))
(+ 1 (* (pow y 2) (- (* 16 (/ (pow y 2) (pow x 4))) (* 4 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -64 (/ (pow y 2) (pow x 6))) (* 16 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 2))))))
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))
(/ (+ 1/4 (* -1/16 (/ (pow x 2) (pow y 2)))) (pow y 2))
(/ (- (+ 1/4 (* 1/64 (/ (pow x 4) (pow y 4)))) (* 1/16 (/ (pow x 2) (pow y 2)))) (pow y 2))
(/ (- (+ 1/4 (* -1/256 (/ (pow x 6) (pow y 6)))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/16 (/ (pow x 2) (pow y 2))))) (pow y 2))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(- (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* 1/32 (/ (pow x 6) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/8 (/ (pow x 4) (pow y 4))))))
(/ (+ 1/4 (* -1/16 (/ (pow x 2) (pow y 2)))) y)
(/ (- (+ 1/4 (* 1/64 (/ (pow x 4) (pow y 4)))) (* 1/16 (/ (pow x 2) (pow y 2)))) y)
(/ (- (+ 1/4 (* -1/256 (/ (pow x 6) (pow y 6)))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/16 (/ (pow x 2) (pow y 2))))) y)
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(/ (+ (* -1/16 (/ (pow x 3) (pow y 2))) (* 1/4 x)) (pow y 2))
(/ (- (+ (* 1/64 (/ (pow x 5) (pow y 4))) (* 1/4 x)) (* 1/16 (/ (pow x 3) (pow y 2)))) (pow y 2))
(/ (- (+ (* -1/256 (/ (pow x 7) (pow y 6))) (* 1/4 x)) (+ (* -1/64 (/ (pow x 5) (pow y 4))) (* 1/16 (/ (pow x 3) (pow y 2))))) (pow y 2))
(/ (+ (* -1/16 (/ (pow x 4) (pow y 2))) (* 1/4 (pow x 2))) (pow y 2))
(/ (- (+ (* 1/64 (/ (pow x 6) (pow y 4))) (* 1/4 (pow x 2))) (* 1/16 (/ (pow x 4) (pow y 2)))) (pow y 2))
(/ (- (+ (* -1/256 (/ (pow x 8) (pow y 6))) (* 1/4 (pow x 2))) (+ (* -1/64 (/ (pow x 6) (pow y 4))) (* 1/16 (/ (pow x 4) (pow y 2))))) (pow y 2))
(* -1 (/ (- (* 1/16 (/ (pow x 2) (pow y 2))) 1/4) y))
(* -1 (/ (- (* -1/64 (/ (pow x 4) (pow y 4))) (+ 1/4 (* -1/16 (/ (pow x 2) (pow y 2))))) y))
(* -1 (/ (- (* 1/256 (/ (pow x 6) (pow y 6))) (+ 1/4 (+ (* -1/16 (/ (pow x 2) (pow y 2))) (* 1/64 (/ (pow x 4) (pow y 4)))))) y))

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

rewrite963.0ms (14.2%)

Memory

-9.2MiB live, 390.4MiB allocated; 93ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	233
0	62	227
1	227	216
2	1681	208
0	9122	206

Stop Event

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

Counts

21 → 1 044

Calls

Call 1

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

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

eval341.0ms (5%)

Memory: 7.2MiB live, 379.5MiB allocated; 42ms collecting garbage
Compiler: Compiled 71 973 to 4 575 computations (93.6% saved)

prune91.0ms (1.3%)

Memory

-14.6MiB live, 124.0MiB allocated; 7ms collecting garbage

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	1 514	2	1 516
Fresh	0	0	0
Picked	2	2	4
Done	0	4	4
Total	1 516	8	1 524

Accuracy

100.0%

Counts

1 524 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.3%	(/.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)))
▶	51.8%	(.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) y) y (*.f64 x x))))
▶	35.9%	(.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* 4 y) y) (* x x)) (.f64 (.f64 (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal 4 binary64)) y) y))) #s(literal 1 binary64)))
✓	53.9%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64)))
✓	49.8%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)))
✓	47.7%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) (*.f64 y y)) #s(literal 1 binary64)))
✓	48.2%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
✓	52.1%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Compiler

Compiled 204 to 113 computations (44.6% saved)

simplify155.0ms (2.3%)

Memory

-13.2MiB live, 177.3MiB allocated; 13ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	216
0	41	216
1	80	212
2	220	212
3	877	212
4	3525	187
5	6878	187
0	8024	186

Stop Event

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

Calls

Call 1

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

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

localize99.0ms (1.5%)

Memory

25.3MiB live, 132.3MiB allocated; 14ms collecting garbage

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 #s(literal 4 binary64) y)
accuracy	0.7459590486749883	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)))
accuracy	3.144516800811441	(fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x))
accuracy	30.275437746014	(.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) y) y (*.f64 x x))))
accuracy	3.7612560092473544	(.f64 (fma.f64 x (/.f64 x (.f64 y y)) #s(literal 4 binary64)) y)
accuracy	4.027414330135178	(.f64 (.f64 (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal 4 binary64)) y) y)
accuracy	6.798796234608104	(/.f64 x (*.f64 y y))
accuracy	30.275437746014	(.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* 4 y) y) (* x x)) (.f64 (.f64 (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal 4 binary64)) y) y))) #s(literal 1 binary64)))

Samples

85.0ms

256×

valid

Compiler

Compiled 180 to 23 computations (87.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 72.0ms

ival-mult: 65.0ms (89.8% of total)

ival-div: 3.0ms (4.1% of total)

ival-add: 3.0ms (4.1% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series32.0ms (0.5%)

Memory

-21.5MiB live, 24.8MiB allocated; 8ms collecting garbage

Counts

11 → 46

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
22.0ms	x	@	-inf	((* (+ (* -4 (* y y)) (* x x)) (* (/ 1 (+ (* (* 4 y) y) (* x x))) 1)) (* (/ 1 (+ (* (* 4 y) y) (* x x))) 1) (* (* (+ (* x (/ x (* y y))) 4) y) y) (* (+ (* x (/ x (* y y))) 4) y) (* (+ (* -4 (* y y)) (* x x)) (/ 1 (+ (* (* 4 y) y) (* x x)))) (+ (* -4 (* y y)) (* x x)) (* y y) (* x x) (/ x (* y y)) (/ 1 (+ (* (* 4 y) y) (* x x))) (* 4 y))
2.0ms	x	@	0	((* (+ (* -4 (* y y)) (* x x)) (* (/ 1 (+ (* (* 4 y) y) (* x x))) 1)) (* (/ 1 (+ (* (* 4 y) y) (* x x))) 1) (* (* (+ (* x (/ x (* y y))) 4) y) y) (* (+ (* x (/ x (* y y))) 4) y) (* (+ (* -4 (* y y)) (* x x)) (/ 1 (+ (* (* 4 y) y) (* x x)))) (+ (* -4 (* y y)) (* x x)) (* y y) (* x x) (/ x (* y y)) (/ 1 (+ (* (* 4 y) y) (* x x))) (* 4 y))
2.0ms	x	@	inf	((* (+ (* -4 (* y y)) (* x x)) (* (/ 1 (+ (* (* 4 y) y) (* x x))) 1)) (* (/ 1 (+ (* (* 4 y) y) (* x x))) 1) (* (* (+ (* x (/ x (* y y))) 4) y) y) (* (+ (* x (/ x (* y y))) 4) y) (* (+ (* -4 (* y y)) (* x x)) (/ 1 (+ (* (* 4 y) y) (* x x)))) (+ (* -4 (* y y)) (* x x)) (* y y) (* x x) (/ x (* y y)) (/ 1 (+ (* (* 4 y) y) (* x x))) (* 4 y))
2.0ms	y	@	inf	((* (+ (* -4 (* y y)) (* x x)) (* (/ 1 (+ (* (* 4 y) y) (* x x))) 1)) (* (/ 1 (+ (* (* 4 y) y) (* x x))) 1) (* (* (+ (* x (/ x (* y y))) 4) y) y) (* (+ (* x (/ x (* y y))) 4) y) (* (+ (* -4 (* y y)) (* x x)) (/ 1 (+ (* (* 4 y) y) (* x x)))) (+ (* -4 (* y y)) (* x x)) (* y y) (* x x) (/ x (* y y)) (/ 1 (+ (* (* 4 y) y) (* x x))) (* 4 y))
2.0ms	y	@	-inf	((* (+ (* -4 (* y y)) (* x x)) (* (/ 1 (+ (* (* 4 y) y) (* x x))) 1)) (* (/ 1 (+ (* (* 4 y) y) (* x x))) 1) (* (* (+ (* x (/ x (* y y))) 4) y) y) (* (+ (* x (/ x (* y y))) 4) y) (* (+ (* -4 (* y y)) (* x x)) (/ 1 (+ (* (* 4 y) y) (* x x)))) (+ (* -4 (* y y)) (* x x)) (* y y) (* x x) (/ x (* y y)) (/ 1 (+ (* (* 4 y) y) (* x x))) (* 4 y))

simplify253.0ms (3.7%)

Memory

7.5MiB live, 232.0MiB allocated; 34ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	200	818
1	587	786
2	1891	746
3	7528	742
0	8393	691

Stop Event

1×	iter limit
1×	node limit

Counts

46 → 46

Calls

Call 1

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

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

rewrite216.0ms (3.2%)

Memory

36.6MiB live, 185.8MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	132
0	41	128
1	131	124
2	866	120
0	9750	120

Stop Event

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

Counts

11 → 581

Calls

Call 1

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

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

eval175.0ms (2.6%)

Memory: 10.7MiB live, 232.2MiB allocated; 45ms collecting garbage
Compiler: Compiled 34 307 to 2 576 computations (92.5% saved)

prune43.0ms (0.6%)

Memory

-24.7MiB live, 77.8MiB allocated; 35ms collecting garbage

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	806	1	807
Fresh	0	0	0
Picked	1	1	2
Done	0	6	6
Total	807	8	815

Accuracy

100.0%

Counts

815 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.3%	(/.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)))
✓	51.8%	(.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) y) y (*.f64 x x))))
	45.4%	(.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* 4 y) y) (* x x)) (.f64 #s(approx ( (+ (* x (/ x (* y y))) 4) y) (fma.f64 #s(literal 4 binary64) y (/.f64 (*.f64 x x) y))) y))) #s(literal 1 binary64)))
✓	53.9%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64)))
✓	49.8%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)))
✓	47.7%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) (*.f64 y y)) #s(literal 1 binary64)))
✓	48.2%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
✓	52.1%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Compiler

Compiled 560 to 197 computations (64.8% saved)

regimes35.0ms (0.5%)

Memory

14.4MiB live, 58.2MiB allocated; 10ms collecting garbage

Counts

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

Outputs

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

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

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

Calls

5 calls:

19.0ms	x
4.0ms	y
4.0ms	(.f64 (.f64 y #s(literal 4 binary64)) y)
4.0ms	(*.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
84.3%	3	`(.f64 (.f64 y #s(literal 4 binary64)) y)`
84.8%	3	`(*.f64 x x)`
77.1%	2	`(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))`
84.8%	3	`x`
84.3%	3	`y`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes11.0ms (0.2%)

Memory

-24.8MiB live, 21.0MiB allocated; 5ms collecting garbage

Counts

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

Outputs

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

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

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

Calls

2 calls:

6.0ms	(*.f64 x x)
4.0ms	x

Results

Accuracy	Segments	Branch
84.7%	3	`(*.f64 x x)`
84.7%	3	`x`

Compiler

Compiled 4 to 5 computations (-25% saved)

regimes10.0ms (0.1%)

Memory

26.1MiB live, 26.1MiB allocated; 0ms collecting garbage

Counts

6 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
80.8%	2	`y`
80.8%	2	`(.f64 (.f64 y #s(literal 4 binary64)) y)`
77.0%	2	`(*.f64 x x)`
77.0%	2	`x`

Compiler

Compiled 10 to 12 computations (-20% saved)

regimes5.0ms (0.1%)

Memory

12.8MiB live, 12.8MiB allocated; 0ms collecting garbage

Counts

5 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
80.8%	2	`(.f64 (.f64 y #s(literal 4 binary64)) y)`
80.8%	2	`y`

Compiler

Compiled 6 to 7 computations (-16.7% saved)

regimes16.0ms (0.2%)

Memory

-39.1MiB live, 11.6MiB allocated; 15ms collecting garbage

Counts

4 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

13.0ms	y
2.0ms	(.f64 (.f64 y #s(literal 4 binary64)) y)

Results

Accuracy	Segments	Branch
80.1%	2	`(.f64 (.f64 y #s(literal 4 binary64)) y)`
80.1%	2	`y`

Compiler

Compiled 6 to 7 computations (-16.7% saved)

regimes3.0ms (0.1%)

Memory

9.8MiB live, 9.8MiB allocated; 0ms collecting garbage

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

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

Calls

2 calls:

2.0ms	y
1.0ms	(.f64 (.f64 y #s(literal 4 binary64)) y)

Results

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

Compiler

Compiled 6 to 7 computations (-16.7% saved)

regimes5.0ms (0.1%)

Memory

19.5MiB live, 19.5MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
52.1%	1	`(*.f64 x x)`
52.1%	1	`x`
52.1%	1	`(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))`
52.1%	1	`(.f64 (.f64 y #s(literal 4 binary64)) y)`
52.1%	1	`y`

Compiler

Compiled 29 to 21 computations (27.6% saved)

bsearch27.0ms (0.4%)

Memory

11.5MiB live, 58.6MiB allocated; 4ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	3.8720456576360993e+124	8.414604750783456e+124
16.0ms	7.586864263674599e-153	1.5000977391991739e-145

Samples

15.0ms

224×

valid

Compiler

Compiled 806 to 429 computations (46.8% saved)

Precisions

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

ival-mult: 4.0ms (52.6% of total)

ival-sub: 1.0ms (13.1% of total)

ival-div: 1.0ms (13.1% of total)

ival-add: 1.0ms (13.1% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

bsearch6.0ms (0.1%)

Memory

-39.6MiB live, 6.0MiB allocated; 6ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.8720456576360993e+124	8.414604750783456e+124
4.0ms	7.586864263674599e-153	1.5000977391991739e-145

Compiler

Compiled 680 to 401 computations (41% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.931139791107576e-19	4.69273592789469e-18

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch9.0ms (0.1%)

Memory

21.3MiB live, 21.3MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	3.5111037406731437e-10	1.0831361788684157e-9

Samples

5.0ms

80×

valid

Compiler

Compiled 322 to 179 computations (44.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 1.0ms (36.9% of total)

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

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

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

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	59137353.22939779	23993413721.089256

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.931139791107576e-19	4.69273592789469e-18

Compiler

Compiled 18 to 14 computations (22.2% saved)

simplify26.0ms (0.4%)

Memory

17.6MiB live, 63.3MiB allocated; 4ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	442
1	79	442
2	132	442
3	246	442
4	454	442
5	671	442
6	920	442
7	934	442

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal 2087496000668043/3599131035634557106248430806148785487095757694641533306480604458089470064537190296255232548883112685719936728506816716098566612844395439751206812144692131084107776 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 x (/.f64 x y)) #s(literal -1 binary64))) (if (<=.f64 x #s(literal 79999999999999995868254995738497145715158147018256698815684116904679432563896219354020299592712167071081603380907405008175104 binary64)) (fma.f64 (.f64 #s(literal -4 binary64) y) (/.f64 y (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) (.f64 (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) x)) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal 2087496000668043/3599131035634557106248430806148785487095757694641533306480604458089470064537190296255232548883112685719936728506816716098566612844395439751206812144692131084107776 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 x (/.f64 x y)) #s(literal -1 binary64))) (if (<=.f64 x #s(literal 79999999999999995868254995738497145715158147018256698815684116904679432563896219354020299592712167071081603380907405008175104 binary64)) (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 1298074214633707/2596148429267413814265248164610048 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64))))
(if (<=.f64 y #s(literal 3771848557197643/9671406556917033397649408 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64))))
(if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 100000000 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)))
(if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 1298074214633707/2596148429267413814265248164610048 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 x #s(literal 2087496000668043/3599131035634557106248430806148785487095757694641533306480604458089470064537190296255232548883112685719936728506816716098566612844395439751206812144692131084107776 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 x (/.f64 x y)) #s(literal -1 binary64))) (if (<=.f64 x #s(literal 79999999999999995868254995738497145715158147018256698815684116904679432563896219354020299592712167071081603380907405008175104 binary64)) (fma.f64 (.f64 #s(literal -4 binary64) y) (/.f64 y (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) (.f64 (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) x)) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal 2087496000668043/3599131035634557106248430806148785487095757694641533306480604458089470064537190296255232548883112685719936728506816716098566612844395439751206812144692131084107776 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 x (/.f64 x y)) #s(literal -1 binary64))) (if (<=.f64 x #s(literal 79999999999999995868254995738497145715158147018256698815684116904679432563896219354020299592712167071081603380907405008175104 binary64)) (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 1298074214633707/2596148429267413814265248164610048 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64))))
(if (<=.f64 y #s(literal 3771848557197643/9671406556917033397649408 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64))))
(if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 100000000 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)))
(if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 1298074214633707/2596148429267413814265248164610048 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))

derivations622.0ms (9.2%)

Memory

-19.4MiB live, 650.5MiB allocated; 106ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Compiler

Compiled 442 to 61 computations (86.2% saved)

preprocess73.0ms (1.1%)

Memory: -13.1MiB live, 174.8MiB allocated; 20ms collecting garbage
Remove: (abs y)
Compiler: Compiled 1 648 to 414 computations (74.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze2.0ms (0%)

sample1.0s (15.3%)

explain139.0ms (2%)

preprocess43.0ms (0.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify18.0ms (0.3%)

localize23.0ms (0.3%)

series26.0ms (0.4%)

simplify235.0ms (3.5%)

rewrite202.0ms (3%)

eval56.0ms (0.8%)

prune47.0ms (0.7%)

simplify106.0ms (1.6%)

localize84.0ms (1.2%)

series43.0ms (0.6%)

simplify224.0ms (3.3%)

rewrite353.0ms (5.2%)

eval143.0ms (2.1%)

prune19.0ms (0.3%)

simplify309.0ms (4.6%)

localize109.0ms (1.6%)

series31.0ms (0.5%)

simplify319.0ms (4.7%)

rewrite963.0ms (14.2%)

eval341.0ms (5%)

prune91.0ms (1.3%)

simplify155.0ms (2.3%)

localize99.0ms (1.5%)

series32.0ms (0.5%)

simplify253.0ms (3.7%)

rewrite216.0ms (3.2%)

eval175.0ms (2.6%)

prune43.0ms (0.6%)

regimes35.0ms (0.5%)

regimes11.0ms (0.2%)

regimes10.0ms (0.1%)

regimes5.0ms (0.1%)

regimes16.0ms (0.2%)

regimes3.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch27.0ms (0.4%)

bsearch6.0ms (0.1%)

bsearch0.0ms (0%)

bsearch9.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify26.0ms (0.4%)

derivations622.0ms (9.2%)

preprocess73.0ms (1.1%)

end0.0ms (0%)

Profiling