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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze2.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 21 to 11 computations (47.6% saved)

sample714.0ms (14.7%)

Memory

-85.6MiB live, 239.6MiB allocated

Samples

408.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 266.0ms

ival-mult: 146.0ms (54.8% of total)

ival-div: 45.0ms (16.9% of total)

ival-sub: 33.0ms (12.4% of total)

ival-add: 31.0ms (11.6% of total)

ival-true: 5.0ms (1.9% of total)

exact: 4.0ms (1.5% of total)

ival-assert: 3.0ms (1.1% of total)

Bogosity

explain99.0ms (2%)

Memory

-6.6MiB live, 59.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
123	-	1	(-6.9295500807744195e-168 -1.4284566396642344e-161)	`(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))`
12	-	0	-	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`
0	-	0	-	`(.f64 (.f64 y #s(literal 4 binary64)) y)`
0	-	0	-	`(*.f64 y #s(literal 4 binary64))`
0	-	0	-	`#s(literal 4 binary64)`
0	-	0	-	`(*.f64 x x)`
0	-	0	-	`(+.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`
0	-	0	-	`y`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))`	o/o	104	0
↳	`(.f64 (.f64 y #s(literal 4 binary64)) y)`	overflow	67
↳	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`	overflow	104
↳	`(*.f64 x x)`	overflow	49
↳	`(.f64 (.f64 y #s(literal 4 binary64)) y)`	overflow	67
↳	`(+.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`	overflow	104
↳	`(*.f64 x x)`	overflow	49
`/.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	18	0
↳	`(.f64 (.f64 y #s(literal 4 binary64)) y)`	underflow	59
↳	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`	underflow	18
↳	`(*.f64 x x)`	underflow	66
↳	`(.f64 (.f64 y #s(literal 4 binary64)) y)`	underflow	59
↳	`(+.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`	underflow	18
↳	`(*.f64 x x)`	underflow	66
`-.f64`	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`	nan-rescue	12	0
↳	`(*.f64 x x)`	overflow	49
↳	`(.f64 (.f64 y #s(literal 4 binary64)) y)`	overflow	67

Confusion

	Predicted +	Predicted -
+	122	1
-	0	133

Precision

1.0

Recall

0.991869918699187

Confusion?

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

Precision?

1.0

Recall?

0.991869918699187

Freqs

test

number	freq
0	134
1	110
2	12

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Total Time

17.1396484375

Average Time

0.06695175170898438

Samples

30.0ms

512×

valid

Compiler

Compiled 176 to 40 computations (77.3% saved)

Precisions

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

ival-mult: 9.0ms (55% of total)

ival-div: 3.0ms (18.3% of total)

ival-sub: 2.0ms (12.2% of total)

ival-add: 2.0ms (12.2% of total)

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

exact: 0.0ms (0% of total)

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

preprocess189.0ms (3.9%)

Memory

1.6MiB live, 8.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	97
1	89	97
2	240	95
3	620	95
4	1743	95
5	2721	95
6	2962	95
7	2981	95
8	2996	95
9	3001	95
10	3001	95
11	3301	95
12	3437	95
13	3437	95
14	3581	95
15	4417	95
16	4417	95
0	9	19
0	15	19
1	27	19
2	56	19
3	112	19
4	215	19
5	344	19
6	511	19
7	724	19
8	1191	19
9	2211	19
10	2260	19
11	2298	19
12	2326	19
13	2326	19
0	2326	17

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs y)

(abs x)

Compiler

Compiled 19 to 9 computations (52.6% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

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)

simplify53.0ms (1.1%)

Memory

3.5MiB live, 3.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	0	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))
cost-diff	128	(+.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))
cost-diff	128	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	51
0	15	51
1	27	51
2	56	51
3	112	51
4	215	51
5	344	51
6	511	51
7	724	51
8	1191	51
9	2211	51
10	2260	51
11	2298	51
12	2326	51
13	2326	51
0	2326	47

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize28.0ms (0.6%)

Memory

-7.0MiB live, 9.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0.0078125	(+.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))
accuracy	2.746079300811441	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))
accuracy	30.03119485574849	(/.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

19.0ms

256×

valid

Compiler

Compiled 104 to 20 computations (80.8% saved)

Precisions

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

ival-mult: 4.0ms (51.3% of total)

ival-sub: 1.0ms (12.8% of total)

ival-div: 1.0ms (12.8% of total)

ival-add: 1.0ms (12.8% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

2.8MiB live, 2.8MiB allocated

Counts

4 → 24

Calls

Call 1

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

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

Calls

6 calls:

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

simplify149.0ms (3.1%)

Memory

7.1MiB live, 49.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 24

Calls

Call 1

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

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

rewrite167.0ms (3.4%)

Memory

-2.0MiB live, 57.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 602

Calls

Call 1

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

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

eval54.0ms (1.1%)

Memory: 3.1MiB live, 45.5MiB allocated
Compiler: Compiled 24 545 to 1 557 computations (93.7% saved)

prune11.0ms (0.2%)

Memory

-1.7MiB live, 24.6MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	620	7	627
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	621	7	628

Accuracy

99.8%

Counts

628 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.0%	(/.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)))
	36.6%	(/.f64 (-.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) (.f64 (/.f64 (/.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) x) x) (.f64 (.f64 #s(literal 4 binary64) y) y))) (.f64 (/.f64 (/.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) x) x) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))))
	52.3%	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (fma.f64 x x (.f64 (*.f64 #s(literal 4 binary64) y) y)))
▶	51.4%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64)))
▶	49.1%	#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)))
▶	47.3%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
▶	52.9%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Compiler

Compiled 372 to 174 computations (53.2% saved)

simplify288.0ms (5.9%)

Memory

3.8MiB live, 11.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	197
0	47	193
1	85	189
2	143	189
3	236	189
4	369	189
5	522	189
6	703	189
7	1058	189
8	2425	189
9	4175	189
10	4758	189
11	4906	189
12	4950	189
13	4966	189
14	4970	189
15	5236	189
16	5352	189
17	5352	189
18	5522	189
19	5686	189
20	5796	189
21	5803	189
22	5959	189
23	6198	189
24	6230	189
25	6230	189
0	6230	189

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize65.0ms (1.3%)

Memory

-14.7MiB live, 25.8MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 #s(literal 4 binary64) y)
accuracy	0.0078125	(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
accuracy	2.749985550811441	(fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x))
accuracy	30.03119485574849	(/.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	(*.f64 x x)
accuracy	1.9149105697232507	(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64))
accuracy	8.248767336923667	(/.f64 (*.f64 x x) y)
accuracy	29.00809133747202	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64)))
accuracy	0	(/.f64 y x)
accuracy	0.00390625	(*.f64 #s(literal -8 binary64) (/.f64 y x))
accuracy	0.11328125	(fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))
accuracy	32.58167133856089	#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	33.75666180417387	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
accuracy	30.117029027068945	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Samples

49.0ms

256×

valid

Compiler

Compiled 376 to 62 computations (83.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-mult: 20.0ms (59.8% of total)

ival-div: 7.0ms (20.9% of total)

ival-add: 5.0ms (14.9% of total)

ival-sub: 1.0ms (3% of total)

exact: 1.0ms (3% of total)

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

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

series17.0ms (0.3%)

Memory

-0.2MiB live, 8.8MiB allocated

Counts

16 → 35

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	y	@	-inf	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (* -8 (/ y x)) (/ y x)) 1) (* -8 (/ y x)) (/ y x) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ 1/2 y) (/ (* x x) y)) -1) (/ 1/2 y) (/ (* x x) y) (/ (+ (* -4 (* y y)) (* x x)) (+ (* (* 4 y) y) (* x x))) (+ (* -4 (* y y)) (* x x)) (* y y) (* x x) (+ (* (* 4 y) y) (* x x)) (* 4 y))
3.0ms	y	@	0	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (* -8 (/ y x)) (/ y x)) 1) (* -8 (/ y x)) (/ y x) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ 1/2 y) (/ (* x x) y)) -1) (/ 1/2 y) (/ (* x x) y) (/ (+ (* -4 (* y y)) (* x x)) (+ (* (* 4 y) y) (* x x))) (+ (* -4 (* y y)) (* x x)) (* y y) (* x x) (+ (* (* 4 y) y) (* x x)) (* 4 y))
3.0ms	y	@	inf	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (* -8 (/ y x)) (/ y x)) 1) (* -8 (/ y x)) (/ y x) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ 1/2 y) (/ (* x x) y)) -1) (/ 1/2 y) (/ (* x x) y) (/ (+ (* -4 (* y y)) (* x x)) (+ (* (* 4 y) y) (* x x))) (+ (* -4 (* y y)) (* x x)) (* y y) (* x x) (+ (* (* 4 y) y) (* x x)) (* 4 y))
2.0ms	x	@	0	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (* -8 (/ y x)) (/ y x)) 1) (* -8 (/ y x)) (/ y x) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ 1/2 y) (/ (* x x) y)) -1) (/ 1/2 y) (/ (* x x) y) (/ (+ (* -4 (* y y)) (* x x)) (+ (* (* 4 y) y) (* x x))) (+ (* -4 (* y y)) (* x x)) (* y y) (* x x) (+ (* (* 4 y) y) (* x x)) (* 4 y))
2.0ms	x	@	inf	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (* -8 (/ y x)) (/ y x)) 1) (* -8 (/ y x)) (/ y x) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ 1/2 y) (/ (* x x) y)) -1) (/ 1/2 y) (/ (* x x) y) (/ (+ (* -4 (* y y)) (* x x)) (+ (* (* 4 y) y) (* x x))) (+ (* -4 (* y y)) (* x x)) (* y y) (* x x) (+ (* (* 4 y) y) (* x x)) (* 4 y))

simplify157.0ms (3.2%)

Memory

8.9MiB live, 50.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	130	503
1	351	477
2	1045	425
3	4360	407
0	8539	374

Stop Event

1×	iter limit
1×	node limit

Counts

35 → 35

Calls

Call 1

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

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

rewrite160.0ms (3.3%)

Memory

-1.9MiB live, 57.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	180
0	47	176
1	191	170
2	1419	168
0	8444	164

Stop Event

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

Counts

16 → 642

Calls

Call 1

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

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

eval71.0ms (1.5%)

Memory: -0.1MiB live, 59.2MiB allocated
Compiler: Compiled 27 235 to 2 172 computations (92% saved)

prune11.0ms (0.2%)

Memory

-0.2MiB live, 26.5MiB allocated

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	702	4	706
Fresh	2	0	2
Picked	1	4	5
Done	0	0	0
Total	705	8	713

Accuracy

100.0%

Counts

713 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.0%	(/.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)))
▶	52.0%	(/.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) y)))
▶	54.7%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64)))
▶	44.8%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (.f64 #s(literal -8 binary64) y) (.f64 x x)) (*.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
✓	49.1%	#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)))
▶	54.7%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64)))))
✓	47.3%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
✓	52.9%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Compiler

Compiled 200 to 110 computations (45% saved)

simplify253.0ms (5.2%)

Memory

4.2MiB live, 11.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 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	0	(/.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) y)))
cost-diff	0	(/.f64 x y)
cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
cost-diff	0	(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
cost-diff	0	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64)))
cost-diff	0	(*.f64 #s(literal -8 binary64) y)
cost-diff	0	(fma.f64 (/.f64 (.f64 #s(literal -8 binary64) y) (.f64 x x)) (*.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (.f64 #s(literal -8 binary64) y) (.f64 x x)) (*.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
cost-diff	320	(*.f64 y #s(literal 1 binary64))
cost-diff	0	(fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64)))
cost-diff	0	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64)))))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64))))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	246
0	61	225
1	114	222
2	245	222
3	504	222
4	783	222
5	1192	222
6	1581	222
7	2037	222
8	3213	222
9	4661	222
10	5025	222
11	5099	222
12	5135	222
13	5153	222
14	5155	222
15	5524	222
16	5633	222
17	5633	222
18	5633	222
19	5643	222
20	5643	222
21	5643	222
0	5643	222

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

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

localize82.0ms (1.7%)

Memory

-7.8MiB live, 34.6MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0	(*.f64 #s(literal 4 binary64) y)
accuracy	2.749985550811441	(fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x))
accuracy	30.03119485574849	(/.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) y)))
accuracy	0	(/.f64 x y)
accuracy	0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	0.14910126953688405	(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64))
accuracy	29.00809133747202	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64)))
accuracy	0	(*.f64 #s(literal -8 binary64) y)
accuracy	1.2451818557439747	(fma.f64 (/.f64 (.f64 #s(literal -8 binary64) y) (.f64 x x)) (*.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy	8.186510110886921	(/.f64 (.f64 #s(literal -8 binary64) y) (.f64 x x))
accuracy	32.58167133856089	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (.f64 #s(literal -8 binary64) y) (.f64 x x)) (*.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
accuracy	0.09765625	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64))))
accuracy	0.2109509831731476	(/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64)))
accuracy	0.262382519536884	(pow.f64 (/.f64 x y) #s(literal 2 binary64))
accuracy	29.00809133747202	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64)))))

Samples

54.0ms

256×

valid

Compiler

Compiled 466 to 77 computations (83.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-mult: 17.0ms (45.5% of total)

ival-div: 10.0ms (26.8% of total)

ival-add: 6.0ms (16.1% of total)

ival-pow2: 2.0ms (5.4% of total)

ival-sub: 1.0ms (2.7% of total)

exact: 1.0ms (2.7% of total)

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

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

series20.0ms (0.4%)

Memory

3.1MiB live, 10.6MiB allocated

Counts

20 → 46

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64)))
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64))
(*.f64 y #s(literal 1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (.f64 #s(literal -8 binary64) y) (.f64 x x)) (*.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (.f64 #s(literal -8 binary64) y) (.f64 x x)) (*.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -8 binary64) y)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(*.f64 #s(literal 1/2 binary64) x)
(/.f64 x y)
(/.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) y)))
(fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x))
(*.f64 y y)
(*.f64 x x)
(pow.f64 (/.f64 x y) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal -8 binary64) y) (.f64 x x))
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64))
(*.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)
(- (* (pow x 2) (- (* -1/4 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1)
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/8 (/ (pow x 2) (pow y 6))) (* 1/4 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1)
(* -8 (/ (pow y 2) (pow x 2)))
(/ (+ (* -8 (pow y 2)) (pow x 2)) (pow x 2))
(* 1/2 (/ x y))
(* 1/2 x)
(/ x y)
(* -4 (pow y 2))
(+ (* -4 (pow y 2)) (pow x 2))
(pow x 2)
(/ (pow x 2) (pow y 2))
(* -8 (/ y (pow x 2)))
(* 1/2 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))
1
(- (+ 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)))))
(* 2 (/ (pow y 2) (pow x 2)))
(/ (+ (* 2 (pow y 2)) (* 4 (/ (pow y 4) (pow x 2)))) (pow x 2))
(/ (- (+ (* 2 (pow y 2)) (* 8 (/ (pow y 6) (pow x 4)))) (* -4 (/ (pow y 4) (pow x 2)))) (pow x 2))
(/ (- (+ (* 2 (pow y 2)) (* 16 (/ (pow y 8) (pow x 6)))) (+ (* -8 (/ (pow y 6) (pow x 4))) (* -4 (/ (pow y 4) (pow x 2))))) (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)) (* 1/2 (pow x 2))) (pow y 2))
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))
(* (pow y 2) (+ (* 4 (/ (pow y 2) (pow x 4))) (* 2 (/ 1 (pow x 2)))))
(* (pow y 2) (+ (* (pow y 2) (+ (* 8 (/ (pow y 2) (pow x 6))) (* 4 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2)))))
(* (pow y 2) (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 16 (/ (pow y 2) (pow x 8))) (* 8 (/ 1 (pow x 6))))) (* 4 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2)))))
y
(* -8 y)
(pow y 2)
(* 4 y)
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))
(- (* -1/4 (/ (pow x 4) (pow y 4))) (+ 1 (* 1/2 (/ (pow x 2) (pow y 2)))))
(- (* -1/8 (/ (pow x 6) (pow y 6))) (+ 1 (+ (* 1/4 (/ (pow x 4) (pow y 4))) (* 1/2 (/ (pow x 2) (pow y 2))))))
(* (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
5.0ms	x	@	-inf	((/ 1 (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1)) (+ (* (pow (/ x y) 2) 1/2) -1) (* y 1) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ (* -8 y) (* x x)) (* y 1)) 1) (* -8 y) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (* 1/2 x) y) (* 1/2 x) (/ x y) (/ (+ (* -4 (* y y)) (* x x)) (+ (* x x) (* (* 4 y) y))) (+ (* -4 (* y y)) (* x x)) (* y y) (* x x) (pow (/ x y) 2) (/ (* -8 y) (* x x)) (+ (* (/ (* 1/2 x) y) (/ x y)) -1) (* 4 y))
3.0ms	y	@	inf	((/ 1 (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1)) (+ (* (pow (/ x y) 2) 1/2) -1) (* y 1) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ (* -8 y) (* x x)) (* y 1)) 1) (* -8 y) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (* 1/2 x) y) (* 1/2 x) (/ x y) (/ (+ (* -4 (* y y)) (* x x)) (+ (* x x) (* (* 4 y) y))) (+ (* -4 (* y y)) (* x x)) (* y y) (* x x) (pow (/ x y) 2) (/ (* -8 y) (* x x)) (+ (* (/ (* 1/2 x) y) (/ x y)) -1) (* 4 y))
3.0ms	y	@	-inf	((/ 1 (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1)) (+ (* (pow (/ x y) 2) 1/2) -1) (* y 1) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ (* -8 y) (* x x)) (* y 1)) 1) (* -8 y) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (* 1/2 x) y) (* 1/2 x) (/ x y) (/ (+ (* -4 (* y y)) (* x x)) (+ (* x x) (* (* 4 y) y))) (+ (* -4 (* y y)) (* x x)) (* y y) (* x x) (pow (/ x y) 2) (/ (* -8 y) (* x x)) (+ (* (/ (* 1/2 x) y) (/ x y)) -1) (* 4 y))
3.0ms	y	@	0	((/ 1 (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1)) (+ (* (pow (/ x y) 2) 1/2) -1) (* y 1) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ (* -8 y) (* x x)) (* y 1)) 1) (* -8 y) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (* 1/2 x) y) (* 1/2 x) (/ x y) (/ (+ (* -4 (* y y)) (* x x)) (+ (* x x) (* (* 4 y) y))) (+ (* -4 (* y y)) (* x x)) (* y y) (* x x) (pow (/ x y) 2) (/ (* -8 y) (* x x)) (+ (* (/ (* 1/2 x) y) (/ x y)) -1) (* 4 y))
3.0ms	x	@	inf	((/ 1 (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1)) (+ (* (pow (/ x y) 2) 1/2) -1) (* y 1) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ (* -8 y) (* x x)) (* y 1)) 1) (* -8 y) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (* 1/2 x) y) (* 1/2 x) (/ x y) (/ (+ (* -4 (* y y)) (* x x)) (+ (* x x) (* (* 4 y) y))) (+ (* -4 (* y y)) (* x x)) (* y y) (* x x) (pow (/ x y) 2) (/ (* -8 y) (* x x)) (+ (* (/ (* 1/2 x) y) (/ x y)) -1) (* 4 y))

simplify154.0ms (3.2%)

Memory

3.3MiB live, 42.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	192	766
1	550	740
2	1651	704
3	6178	692
0	8346	640

Stop Event

1×	iter limit
1×	node limit

Counts

46 → 45

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

rewrite144.0ms (3%)

Memory

-5.7MiB live, 59.7MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	209
0	61	188
1	246	185
2	1657	185
0	8388	185

Stop Event

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

Counts

20 → 1 052

Calls

Call 1

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

Outputs
(.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1/2 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))))
(*.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1/2 binary64)))))))
(.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(*.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1/2 binary64)))))))
(.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
(.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)))
(pow.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal -1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1/2 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)))) (-.f64 #s(literal -1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal -1 binary64))) (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal -1 binary64))) (neg.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal -1 binary64)) (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1/2 binary64))))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(neg.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (neg.f64 y)) (/.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal -1 binary64)) (/.f64 (neg.f64 x) y) #s(literal -1 binary64))
(fma.f64 (/.f64 (/.f64 x y) (neg.f64 y)) (/.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))
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eval91.0ms (1.9%)

Memory: 8.5MiB live, 73.9MiB allocated
Compiler: Compiled 30 142 to 2 926 computations (90.3% saved)

prune13.0ms (0.3%)

Memory

-3.5MiB live, 30.8MiB allocated

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	804	4	808
Fresh	0	0	0
Picked	2	2	4
Done	0	4	4
Total	806	10	816

Accuracy

100.0%

Counts

816 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.0%	(/.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)))
✓	52.0%	(/.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) y)))
▶	51.3%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 y y)) (*.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
✓	54.7%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64)))
▶	44.8%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (.f64 #s(literal -8 binary64) y) (.f64 x x)) y #s(literal 1 binary64)))
✓	49.1%	#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)))
▶	54.7%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64) #s(literal -1 binary64)))))
▶	47.6%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1)) (fma.f64 (/.f64 #s(literal -1/2 binary64) (.f64 y y)) (.f64 x x) #s(literal -1 binary64)))))
✓	47.3%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
✓	52.9%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Compiler

Compiled 276 to 155 computations (43.8% saved)

simplify301.0ms (6.2%)

Memory

4.5MiB live, 11.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y y)
cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
cost-diff	0	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 y y)) (*.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
cost-diff	320	(*.f64 x #s(literal 1 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	0	(*.f64 #s(literal -8 binary64) y)
cost-diff	0	(fma.f64 (/.f64 (.f64 #s(literal -8 binary64) y) (.f64 x x)) y #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (.f64 #s(literal -8 binary64) y) (.f64 x x)) y #s(literal 1 binary64)))
cost-diff	0	(fma.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64) #s(literal -1 binary64))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64) #s(literal -1 binary64)))
cost-diff	0	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64) #s(literal -1 binary64)))))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64) #s(literal -1 binary64))))
cost-diff	0	(/.f64 #s(literal -1/2 binary64) (*.f64 y y))
cost-diff	0	#s(approx (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1)) (fma.f64 (/.f64 #s(literal -1/2 binary64) (.f64 y y)) (.f64 x x) #s(literal -1 binary64)))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1)) (fma.f64 (/.f64 #s(literal -1/2 binary64) (.f64 y y)) (.f64 x x) #s(literal -1 binary64))))
cost-diff	0	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1)) (fma.f64 (/.f64 #s(literal -1/2 binary64) (.f64 y y)) (.f64 x x) #s(literal -1 binary64)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	328
0	66	297
1	128	293
2	287	293
3	569	293
4	847	293
5	1132	293
6	1368	293
7	1773	293
8	3000	293
9	4419	293
10	4816	293
11	4894	293
12	4953	293
13	4988	293
14	4990	293
15	5125	293
16	5182	293
17	5182	293
18	5182	293
19	5278	293
20	5450	293
21	5572	293
22	5584	293
23	5584	293
24	5584	293
0	5584	281

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

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

localize89.0ms (1.8%)

Memory

-6.4MiB live, 36.7MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	1.398721650142	(fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 y y)) (*.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))
accuracy	7.185693217099618	(/.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 y y))
accuracy	29.00809133747202	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 y y)) (*.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
accuracy	0	(*.f64 #s(literal -8 binary64) y)
accuracy	1.2451818557439747	(fma.f64 (/.f64 (.f64 #s(literal -8 binary64) y) (.f64 x x)) y #s(literal 1 binary64))
accuracy	8.186510110886921	(/.f64 (.f64 #s(literal -8 binary64) y) (.f64 x x))
accuracy	32.58167133856089	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (.f64 #s(literal -8 binary64) y) (.f64 x x)) y #s(literal 1 binary64)))
accuracy	0.1796875	(*.f64 (/.f64 x y) x)
accuracy	0.2109509831731476	(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64) #s(literal -1 binary64)))
accuracy	2.949474912326497	(/.f64 (*.f64 (/.f64 x y) x) y)
accuracy	29.00809133747202	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64) #s(literal -1 binary64)))))
accuracy	0.5779306044052767	(/.f64 #s(literal -1/2 binary64) (*.f64 y y))
accuracy	11.448413379237136	(fma.f64 (/.f64 #s(literal -1/2 binary64) (.f64 y y)) (.f64 x x) #s(literal -1 binary64))
accuracy	29.00809133747202	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1)) (fma.f64 (/.f64 #s(literal -1/2 binary64) (.f64 y y)) (.f64 x x) #s(literal -1 binary64)))))
accuracy	29.829045977265068	#s(approx (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1)) (fma.f64 (/.f64 #s(literal -1/2 binary64) (.f64 y y)) (.f64 x x) #s(literal -1 binary64)))

Samples

62.0ms

256×

valid

Compiler

Compiled 578 to 87 computations (84.9% saved)

Precisions

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

ival-mult: 17.0ms (37.1% of total)

ival-div: 14.0ms (30.5% of total)

ival-add: 11.0ms (24% of total)

ival-pow2: 2.0ms (4.4% of total)

ival-sub: 1.0ms (2.2% of total)

exact: 1.0ms (2.2% of total)

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

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

series16.0ms (0.3%)

Memory

1.2MiB live, 10.4MiB allocated

Counts

22 → 45

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	y	@	0	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ 1 (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1))) (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1)) (/ -1/2 (* y y)) (/ 1 (/ 1 (+ (* (/ (* (/ x y) x) y) 1/2) -1))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ 1 (+ (* (/ (* (/ x y) x) y) 1/2) -1)) (+ (* (/ (* (/ x y) x) y) 1/2) -1) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ (* -8 y) (* x x)) y) 1) (* -8 y) (* x x) (* x 1) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (* 1/2 x) (* y y) (+ (* (/ -1/2 (* y y)) (* x x)) -1) (/ (* (/ x y) x) y) (* (/ x y) x) (/ (* -8 y) (* x x)) (/ (* 1/2 x) (* y y)) (+ (* (/ (* 1/2 x) (* y y)) (* x 1)) -1))
3.0ms	x	@	inf	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ 1 (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1))) (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1)) (/ -1/2 (* y y)) (/ 1 (/ 1 (+ (* (/ (* (/ x y) x) y) 1/2) -1))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ 1 (+ (* (/ (* (/ x y) x) y) 1/2) -1)) (+ (* (/ (* (/ x y) x) y) 1/2) -1) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ (* -8 y) (* x x)) y) 1) (* -8 y) (* x x) (* x 1) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (* 1/2 x) (* y y) (+ (* (/ -1/2 (* y y)) (* x x)) -1) (/ (* (/ x y) x) y) (* (/ x y) x) (/ (* -8 y) (* x x)) (/ (* 1/2 x) (* y y)) (+ (* (/ (* 1/2 x) (* y y)) (* x 1)) -1))
2.0ms	x	@	-inf	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ 1 (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1))) (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1)) (/ -1/2 (* y y)) (/ 1 (/ 1 (+ (* (/ (* (/ x y) x) y) 1/2) -1))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ 1 (+ (* (/ (* (/ x y) x) y) 1/2) -1)) (+ (* (/ (* (/ x y) x) y) 1/2) -1) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ (* -8 y) (* x x)) y) 1) (* -8 y) (* x x) (* x 1) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (* 1/2 x) (* y y) (+ (* (/ -1/2 (* y y)) (* x x)) -1) (/ (* (/ x y) x) y) (* (/ x y) x) (/ (* -8 y) (* x x)) (/ (* 1/2 x) (* y y)) (+ (* (/ (* 1/2 x) (* y y)) (* x 1)) -1))
2.0ms	y	@	-inf	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ 1 (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1))) (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1)) (/ -1/2 (* y y)) (/ 1 (/ 1 (+ (* (/ (* (/ x y) x) y) 1/2) -1))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ 1 (+ (* (/ (* (/ x y) x) y) 1/2) -1)) (+ (* (/ (* (/ x y) x) y) 1/2) -1) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ (* -8 y) (* x x)) y) 1) (* -8 y) (* x x) (* x 1) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (* 1/2 x) (* y y) (+ (* (/ -1/2 (* y y)) (* x x)) -1) (/ (* (/ x y) x) y) (* (/ x y) x) (/ (* -8 y) (* x x)) (/ (* 1/2 x) (* y y)) (+ (* (/ (* 1/2 x) (* y y)) (* x 1)) -1))
2.0ms	y	@	inf	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ 1 (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1))) (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1)) (/ -1/2 (* y y)) (/ 1 (/ 1 (+ (* (/ (* (/ x y) x) y) 1/2) -1))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ 1 (+ (* (/ (* (/ x y) x) y) 1/2) -1)) (+ (* (/ (* (/ x y) x) y) 1/2) -1) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ (* -8 y) (* x x)) y) 1) (* -8 y) (* x x) (* x 1) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (* 1/2 x) (* y y) (+ (* (/ -1/2 (* y y)) (* x x)) -1) (/ (* (/ x y) x) y) (* (/ x y) x) (/ (* -8 y) (* x x)) (/ (* 1/2 x) (* y y)) (+ (* (/ (* 1/2 x) (* y y)) (* x 1)) -1))

simplify134.0ms (2.8%)

Memory

5.3MiB live, 42.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	195	767
1	553	741
2	1690	705
3	5714	693
0	8170	642

Stop Event

1×	iter limit
1×	node limit

Counts

45 → 44

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

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

rewrite151.0ms (3.1%)

Memory

-5.9MiB live, 53.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	300
0	66	269
1	272	265
2	1681	263
0	8295	249

Stop Event

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

Counts

22 → 821

Calls

Call 1

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

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

eval77.0ms (1.6%)

Memory: 4.5MiB live, 63.8MiB allocated
Compiler: Compiled 26 069 to 2 709 computations (89.6% saved)

prune14.0ms (0.3%)

Memory

4.2MiB live, 27.7MiB allocated

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	654	2	656
Fresh	0	0	0
Picked	2	2	4
Done	0	6	6
Total	656	10	666

Accuracy

100.0%

Counts

666 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.0%	(/.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)))
✓	52.0%	(/.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) y)))
	51.3%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 y y)) x #s(literal -1 binary64)))
✓	54.7%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64)))
✓	44.8%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (.f64 #s(literal -8 binary64) y) (.f64 x x)) y #s(literal 1 binary64)))
✓	49.1%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)))
	53.9%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1)) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64)))))
✓	47.6%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (pow (/ x y) 2) 1/2) -1)) (fma.f64 (/.f64 #s(literal -1/2 binary64) (.f64 y y)) (.f64 x x) #s(literal -1 binary64)))))
✓	47.3%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
✓	52.9%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Compiler

Compiled 814 to 259 computations (68.2% saved)

regimes25.0ms (0.5%)

Memory

-4.2MiB live, 14.3MiB allocated

Counts

18 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

5.0ms	y
5.0ms	x
5.0ms	(.f64 (.f64 y #s(literal 4 binary64)) y)
4.0ms	(*.f64 x x)
4.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))

Results

Accuracy	Segments	Branch
81.1%	3	`x`
85.2%	3	`y`
80.5%	2	`(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))`
81.1%	3	`(*.f64 x x)`
85.2%	3	`(.f64 (.f64 y #s(literal 4 binary64)) y)`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes9.0ms (0.2%)

Memory

-2.4MiB live, 5.4MiB allocated

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
85.2%	3	`y`
85.2%	3	`(.f64 (.f64 y #s(literal 4 binary64)) y)`

Compiler

Compiled 6 to 7 computations (-16.7% saved)

regimes16.0ms (0.3%)

Memory

2.8MiB live, 10.7MiB allocated

Counts

10 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

3.0ms	y
3.0ms	x
3.0ms	(.f64 (.f64 y #s(literal 4 binary64)) y)
3.0ms	(*.f64 x x)
3.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))

Results

Accuracy	Segments	Branch
77.7%	2	`x`
77.7%	2	`(*.f64 x x)`
80.1%	3	`(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))`
77.8%	2	`y`
77.8%	2	`(.f64 (.f64 y #s(literal 4 binary64)) y)`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes4.0ms (0.1%)

Memory

-8.3MiB live, 2.1MiB allocated

Counts

8 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

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
79.4%	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)

regimes8.0ms (0.2%)

Memory

7.4MiB live, 7.4MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

Calls

5 calls:

2.0ms	x
2.0ms	y
2.0ms	(*.f64 x x)
2.0ms	(.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
76.6%	2	`x`
76.6%	2	`(*.f64 x x)`
76.4%	2	`y`
76.4%	2	`(.f64 (.f64 y #s(literal 4 binary64)) y)`
79.1%	3	`(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes2.0ms (0%)

Memory

-6.7MiB live, 1.3MiB allocated

Counts

2 → 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))

Outputs

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

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

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

Calls

1 calls:

1.0ms

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

Results

Accuracy	Segments	Branch
78.8%	3	`(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))`

Compiler

Compiled 19 to 9 computations (52.6% saved)

regimes6.0ms (0.1%)

Memory

6.6MiB live, 6.6MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
52.9%	1	`y`
52.9%	1	`(.f64 (.f64 y #s(literal 4 binary64)) y)`
52.9%	1	`x`
52.9%	1	`(*.f64 x x)`
52.9%	1	`(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))`

Compiler

Compiled 29 to 21 computations (27.6% saved)

bsearch1.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.9541527193248276e+190	3.0554932666599605e+202
0.0ms	1.3086947985e-314	4.640729637475e-312

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch1.0ms (0%)

Memory

-7.6MiB live, 0.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.9541527193248276e+190	3.0554932666599605e+202
0.0ms	1.3086947985e-314	4.640729637475e-312

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch1.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN
0.0ms	-0.9999984678054751	0.9308361754417958

Compiler

Compiled 22 to 14 computations (36.4% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN
0.0ms	-0.9999984678054751	0.9308361754417958

Compiler

Compiled 22 to 14 computations (36.4% saved)

bsearch1.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN
0.0ms	-0.9999984678054751	0.9308361754417958

Compiler

Compiled 22 to 14 computations (36.4% saved)

bsearch25.0ms (0.5%)

Memory

1.0MiB live, 8.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-failed
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	1.0	NaN
11.0ms	-0.9999984678054751	0.9308361754417958

Samples

6.0ms	416×	0	valid
2.0ms	101×	0	invalid

Compiler

Compiled 1 114 to 638 computations (42.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

simplify25.0ms (0.5%)

Memory

3.6MiB live, 19.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	690
1	82	690
2	97	690
3	105	690
4	111	690
5	113	690

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 2024022533/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) (if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 20000000000000001451183431946375567220606848575622745649136687967944203449841378148904136363486483903481251953737351442322669506327274827542980731560078643584425249036505384641606421990866944 binary64)) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) y))) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64)))))
(if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 2024022533/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) (if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 20000000000000001451183431946375567220606848575622745649136687967944203449841378148904136363486483903481251953737351442322669506327274827542980731560078643584425249036505384641606421990866944 binary64)) (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) y))) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64)))))
(if (<=.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y))) #s(literal -1/2 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64))) (if (<=.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y))) #s(literal 2 binary64)) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (.f64 #s(literal -8 binary64) y) (.f64 x x)) y #s(literal 1 binary64))) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64)))))
(if (<=.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y))) #s(literal -1/2 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 y y)) x #s(literal -1 binary64))) (if (<=.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y))) #s(literal 2 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (.f64 #s(literal -8 binary64) y) (.f64 x x)) y #s(literal 1 binary64))) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))))
(if (<=.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y))) #s(literal -1/2 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y))) #s(literal 2 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (.f64 #s(literal -8 binary64) y) (.f64 x x)) y #s(literal 1 binary64))) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))))
(if (<=.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y))) #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y))) #s(literal +inf.0 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Outputs
(if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 2024022533/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) (if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 20000000000000001451183431946375567220606848575622745649136687967944203449841378148904136363486483903481251953737351442322669506327274827542980731560078643584425249036505384641606421990866944 binary64)) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) y))) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64)))))
(if (<=.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) #s(literal 2024022533/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 (/.f64 y x) #s(literal -8 binary64)) (/.f64 y x) #s(literal 1 binary64))) (if (<=.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) #s(literal 20000000000000001451183431946375567220606848575622745649136687967944203449841378148904136363486483903481251953737351442322669506327274827542980731560078643584425249036505384641606421990866944 binary64)) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 #s(literal 4 binary64) y) y)) (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) y))) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64)))))
(if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 2024022533/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) (if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 20000000000000001451183431946375567220606848575622745649136687967944203449841378148904136363486483903481251953737351442322669506327274827542980731560078643584425249036505384641606421990866944 binary64)) (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) y))) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64)))))
(if (<=.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) #s(literal 2024022533/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 (/.f64 y x) #s(literal -8 binary64)) (/.f64 y x) #s(literal 1 binary64))) (if (<=.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) #s(literal 20000000000000001451183431946375567220606848575622745649136687967944203449841378148904136363486483903481251953737351442322669506327274827542980731560078643584425249036505384641606421990866944 binary64)) (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) y))) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64)))))
(if (<=.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y))) #s(literal -1/2 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64))) (if (<=.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y))) #s(literal 2 binary64)) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (.f64 #s(literal -8 binary64) y) (.f64 x x)) y #s(literal 1 binary64))) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64)))))
(if (<=.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 #s(literal 4 binary64) y) y)) (+.f64 (.f64 x x) (.f64 (.f64 #s(literal 4 binary64) y) y))) #s(literal -1/2 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64))) (if (<=.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 #s(literal 4 binary64) y) y)) (+.f64 (.f64 x x) (.f64 (.f64 #s(literal 4 binary64) y) y))) #s(literal 2 binary64)) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (.f64 #s(literal -8 binary64) y) (.f64 x x)) y #s(literal 1 binary64))) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64)))))
(if (<=.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y))) #s(literal -1/2 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 y y)) x #s(literal -1 binary64))) (if (<=.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y))) #s(literal 2 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (.f64 #s(literal -8 binary64) y) (.f64 x x)) y #s(literal 1 binary64))) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))))
(if (<=.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 #s(literal 4 binary64) y) y)) (+.f64 (.f64 x x) (.f64 (.f64 #s(literal 4 binary64) y) y))) #s(literal -1/2 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 y y)) x #s(literal -1 binary64))) (if (<=.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 #s(literal 4 binary64) y) y)) (+.f64 (.f64 x x) (.f64 (.f64 #s(literal 4 binary64) y) y))) #s(literal 2 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (.f64 #s(literal -8 binary64) y) (.f64 x x)) y #s(literal 1 binary64))) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))))
(if (<=.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y))) #s(literal -1/2 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y))) #s(literal 2 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (.f64 #s(literal -8 binary64) y) (.f64 x x)) y #s(literal 1 binary64))) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))))
(if (<=.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 #s(literal 4 binary64) y) y)) (+.f64 (.f64 x x) (.f64 (.f64 #s(literal 4 binary64) y) y))) #s(literal -1/2 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 #s(literal 4 binary64) y) y)) (+.f64 (.f64 x x) (.f64 (.f64 #s(literal 4 binary64) y) y))) #s(literal 2 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (.f64 #s(literal -8 binary64) y) (.f64 x x)) y #s(literal 1 binary64))) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))))
(if (<=.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y))) #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y))) #s(literal +inf.0 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))))
(if (<=.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 #s(literal 4 binary64) y) y)) (+.f64 (.f64 x x) (.f64 (.f64 #s(literal 4 binary64) y) y))) #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 #s(literal 4 binary64) y) y)) (+.f64 (.f64 x x) (.f64 (.f64 #s(literal 4 binary64) y) y))) #s(literal +inf.0 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))

soundness909.0ms (18.7%)

Memory

-4.2MiB live, 11.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	300
0	66	269
1	272	265
2	1681	263
0	8295	249
0	30	180
0	47	176
1	191	170
2	1419	168
0	8444	164
0	9	40
0	15	40
1	54	40
2	397	40
3	6323	40
0	8488	36
0	115	420
1	319	384
2	960	338
3	4078	334
0	8269	304
0	37	209
0	61	188
1	246	185
2	1657	185
0	8388	185

Stop Event

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

Compiler

Compiled 1 315 to 392 computations (70.2% saved)

preprocess58.0ms (1.2%)

Memory

5.7MiB live, 36.4MiB allocated

Remove

(abs x)

(abs y)

Compiler

Compiled 1 956 to 338 computations (82.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze2.0ms (0%)

sample714.0ms (14.7%)

explain99.0ms (2%)

preprocess189.0ms (3.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify53.0ms (1.1%)

localize28.0ms (0.6%)

series6.0ms (0.1%)

simplify149.0ms (3.1%)

rewrite167.0ms (3.4%)

eval54.0ms (1.1%)

prune11.0ms (0.2%)

simplify288.0ms (5.9%)

localize65.0ms (1.3%)

series17.0ms (0.3%)

simplify157.0ms (3.2%)

rewrite160.0ms (3.3%)

eval71.0ms (1.5%)

prune11.0ms (0.2%)

simplify253.0ms (5.2%)

localize82.0ms (1.7%)

series20.0ms (0.4%)

simplify154.0ms (3.2%)

rewrite144.0ms (3%)

eval91.0ms (1.9%)

prune13.0ms (0.3%)

simplify301.0ms (6.2%)

localize89.0ms (1.8%)

series16.0ms (0.3%)

simplify134.0ms (2.8%)

rewrite151.0ms (3.1%)

eval77.0ms (1.6%)

prune14.0ms (0.3%)

regimes25.0ms (0.5%)

regimes9.0ms (0.2%)

regimes16.0ms (0.3%)

regimes4.0ms (0.1%)

regimes8.0ms (0.2%)

regimes2.0ms (0%)

regimes6.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch25.0ms (0.5%)

simplify25.0ms (0.5%)

soundness909.0ms (18.7%)

preprocess58.0ms (1.2%)

end0.0ms (0%)

Profiling