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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze2.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 21 to 11 computations (47.6% saved)

sample1.2s (16.1%)

Memory

28.9MiB live, 1 141.7MiB allocated

Samples

771.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 478.0ms

ival-mult: 307.0ms (64.3% of total)

ival-div: 84.0ms (17.6% of total)

ival-sub: 37.0ms (7.7% of total)

ival-add: 36.0ms (7.5% of total)

ival-true: 6.0ms (1.3% of total)

exact: 6.0ms (1.3% of total)

ival-assert: 4.0ms (0.8% of total)

Bogosity

explain139.0ms (1.9%)

Memory

-7.4MiB live, 276.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
130	-	1	(-1.5929102754669245e-161 -4.516435492720055e-162)	`(/.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)))`
16	-	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	118	0
↳	`(.f64 (.f64 y #s(literal 4 binary64)) y)`	overflow	68
↳	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`	overflow	118
↳	`(*.f64 x x)`	overflow	66
↳	`(.f64 (.f64 y #s(literal 4 binary64)) y)`	overflow	68
↳	`(+.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`	overflow	118
↳	`(*.f64 x x)`	overflow	66
`-.f64`	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`	nan-rescue	16	0
↳	`(*.f64 x x)`	overflow	66
↳	`(.f64 (.f64 y #s(literal 4 binary64)) y)`	overflow	68
`/.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	11	0
↳	`(.f64 (.f64 y #s(literal 4 binary64)) y)`	underflow	52
↳	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`	underflow	11
↳	`(*.f64 x x)`	underflow	57
↳	`(.f64 (.f64 y #s(literal 4 binary64)) y)`	underflow	52
↳	`(+.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`	underflow	11
↳	`(*.f64 x x)`	underflow	57

Confusion

	Predicted +	Predicted -
+	129	1
-	0	126

Precision

1.0

Recall

0.9923076923076923

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	129	0	1
-	0	0	126

Precision?

1.0

Recall?

0.9923076923076923

Freqs

test

number	freq
0	127
1	113
2	16

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

52.0ms

512×

valid

Compiler

Compiled 176 to 40 computations (77.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-mult: 29.0ms (76.7% of total)

ival-div: 3.0ms (7.9% of total)

ival-sub: 2.0ms (5.3% of total)

ival-add: 2.0ms (5.3% of total)

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

exact: 0.0ms (0% of total)

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

preprocess186.0ms (2.5%)

Memory

3.1MiB live, 80.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	97
1	89	97
2	240	95
3	621	95
4	1748	95
5	2724	95
6	2963	95
7	2982	95
8	2997	95
9	3002	95
10	3002	95
11	3302	95
12	3438	95
13	3438	95
14	3582	95
15	4457	95
16	4457	95
0	9	19
0	15	19
1	27	19
2	56	19
3	112	19
4	215	19
5	344	19
6	511	19
7	725	19
8	1248	19
9	2302	19
10	2353	19
11	2391	19
12	2419	19
13	2419	19
0	2419	17

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs y)

(abs x)

Compiler

Compiled 19 to 9 computations (52.6% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.3%	(/.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)

simplify55.0ms (0.7%)

Memory

0.3MiB live, 39.0MiB 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	725	51
8	1248	51
9	2302	51
10	2353	51
11	2391	51
12	2419	51
13	2419	51
0	2419	47

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize40.0ms (0.5%)

Memory

-33.3MiB live, 58.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y #s(literal 4 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	3.4531146791510294	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))
accuracy	31.809846151677654	(/.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

21.0ms

256×

valid

Compiler

Compiled 104 to 20 computations (80.8% saved)

Precisions

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

ival-mult: 5.0ms (57.4% of total)

ival-div: 2.0ms (23% of total)

ival-sub: 1.0ms (11.5% of total)

ival-add: 1.0ms (11.5% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

8.8MiB live, 8.8MiB allocated

Counts

5 → 25

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)
(*.f64 y #s(literal 4 binary64))

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))))))
(* 4 y)
(* (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
2.0ms	y	@	inf	((- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (* x x) (* y 4))
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) (* y 4))
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) (* y 4))
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) (* y 4))
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) (* y 4))

simplify188.0ms (2.5%)

Memory

6.8MiB live, 226.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	116	423
1	321	387
2	982	341
3	4090	337
0	8208	307

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 25

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

rewrite214.0ms (2.9%)

Memory

4.2MiB live, 280.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	43
0	15	43
1	54	43
2	397	43
3	6363	43
0	8342	39

Stop Event

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

Counts

5 → 628

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)
(*.f64 y #s(literal 4 binary64))

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

eval109.0ms (1.5%)

Memory: 24.5MiB live, 154.9MiB allocated
Compiler: Compiled 26 293 to 1 616 computations (93.9% saved)

prune15.0ms (0.2%)

Memory

-21.8MiB live, 53.1MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	650	7	657
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	651	7	658

Accuracy

99.6%

Counts

658 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.6%	(fma.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)))))
▶	49.3%	(/.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)))
	49.3%	(/.f64 #s(literal 1 binary64) (/.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))))
▶	51.0%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64)))
▶	50.3%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y #s(literal 1 binary64)))
▶	51.2%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
▶	49.5%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Compiler

Compiled 328 to 176 computations (46.3% saved)

simplify286.0ms (3.9%)

Memory

-4.6MiB live, 81.9MiB 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 x (/.f64 x y))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) y)
cost-diff	0	(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64))
cost-diff	0	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64)))
cost-diff	0	(/.f64 #s(literal -8 binary64) (*.f64 x x))
cost-diff	0	(.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y)
cost-diff	0	(fma.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y #s(literal 1 binary64)))
cost-diff	0	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
cost-diff	0	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	204
0	49	200
1	86	196
2	158	196
3	261	196
4	389	196
5	536	196
6	716	196
7	1071	196
8	2508	196
9	4329	196
10	4914	196
11	5069	196
12	5113	196
13	5129	196
14	5133	196
15	5399	196
16	5515	196
17	5515	196
18	5685	196
19	5853	196
20	6005	196
21	6012	196
22	6168	196
23	6458	196
24	6490	196
25	6490	196
0	6490	196

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize85.0ms (1.2%)

Memory

13.6MiB live, 89.2MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.0	(*.f64 #s(literal 4 binary64) y)
accuracy	3.4492084291510294	(fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x))
accuracy	31.809846151677654	(/.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)))
accuracy	0.0	(/.f64 #s(literal 1/2 binary64) y)
accuracy	0.1015625	(*.f64 x (/.f64 x y))
accuracy	1.6917992498989616	(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64))
accuracy	31.345606029649055	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64)))
accuracy	0.37941910734316664	(/.f64 #s(literal -8 binary64) (*.f64 x x))
accuracy	2.3665157652849533	(fma.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y #s(literal 1 binary64))
accuracy	6.790325837719587	(.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y)
accuracy	30.32617994045862	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y #s(literal 1 binary64)))
accuracy	32.30570715776402	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
accuracy	31.220800255716842	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))

Samples

67.0ms

256×

valid

Compiler

Compiled 390 to 64 computations (83.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-mult: 38.0ms (71% of total)

ival-div: 8.0ms (15% of total)

ival-add: 5.0ms (9.3% of total)

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

exact: 1.0ms (1.9% of total)

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

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

series37.0ms (0.5%)

Memory

0.4MiB live, 42.7MiB allocated

Counts

15 → 31

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
23.0ms	y	@	-inf	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (* (/ -8 (* x x)) y) y) 1) (* (/ -8 (* x x)) y) (/ -8 (* x x)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ 1/2 y) (* x (/ x y))) -1) (/ 1/2 y) (* x (/ x y)) (/ (+ (* -4 (* y y)) (* x x)) (+ (* (* 4 y) y) (* x x))) (+ (* -4 (* y y)) (* x x)) (* y y) (* x x) (* 4 y))
3.0ms	x	@	inf	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (* (/ -8 (* x x)) y) y) 1) (* (/ -8 (* x x)) y) (/ -8 (* x x)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ 1/2 y) (* x (/ x y))) -1) (/ 1/2 y) (* x (/ x y)) (/ (+ (* -4 (* y y)) (* x x)) (+ (* (* 4 y) y) (* x x))) (+ (* -4 (* y y)) (* x x)) (* y y) (* x x) (* 4 y))
3.0ms	x	@	0	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (* (/ -8 (* x x)) y) y) 1) (* (/ -8 (* x x)) y) (/ -8 (* x x)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ 1/2 y) (* x (/ x y))) -1) (/ 1/2 y) (* x (/ x y)) (/ (+ (* -4 (* y y)) (* x x)) (+ (* (* 4 y) y) (* x x))) (+ (* -4 (* y y)) (* x x)) (* y y) (* x x) (* 4 y))
2.0ms	y	@	0	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (* (/ -8 (* x x)) y) y) 1) (* (/ -8 (* x x)) y) (/ -8 (* x x)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ 1/2 y) (* x (/ x y))) -1) (/ 1/2 y) (* x (/ x y)) (/ (+ (* -4 (* y y)) (* x x)) (+ (* (* 4 y) y) (* x x))) (+ (* -4 (* y y)) (* x x)) (* y y) (* x x) (* 4 y))
2.0ms	y	@	inf	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (* (/ -8 (* x x)) y) y) 1) (* (/ -8 (* x x)) y) (/ -8 (* x x)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ 1/2 y) (* x (/ x y))) -1) (/ 1/2 y) (* x (/ x y)) (/ (+ (* -4 (* y y)) (* x x)) (+ (* (* 4 y) y) (* x x))) (+ (* -4 (* y y)) (* x x)) (* y y) (* x x) (* 4 y))

simplify195.0ms (2.7%)

Memory

24.4MiB live, 245.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	126	479
1	333	453
2	1025	401
3	4228	383
0	8301	353

Stop Event

1×	iter limit
1×	node limit

Counts

31 → 31

Calls

Call 1

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

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

rewrite234.0ms (3.2%)

Memory

-22.8MiB live, 300.8MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	176
0	49	172
1	193	168
2	1327	168
0	8760	168

Stop Event

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

Counts

15 → 667

Calls

Call 1

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

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

eval138.0ms (1.9%)

Memory: 11.0MiB live, 200.7MiB allocated
Compiler: Compiled 28 249 to 1 997 computations (92.9% saved)

prune18.0ms (0.2%)

Memory

-3.0MiB live, 44.7MiB allocated

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	712	5	717
Fresh	1	1	2
Picked	1	4	5
Done	0	0	0
Total	714	10	724

Accuracy

99.7%

Counts

724 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.6%	(fma.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)))))
✓	49.3%	(/.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)))
▶	49.3%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) (fma.f64 (.f64 #s(literal -4 binary64) y) y (.f64 x x))))
▶	52.6%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) x) x) y #s(literal 1 binary64)))
✓	51.0%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64)))
▶	48.2%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal -8 binary64) x) (/.f64 (*.f64 y y) x) #s(literal 1 binary64)))
▶	46.2%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)))
▶	46.1%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 #s(literal -8 binary64) (/.f64 (.f64 y y) (.f64 x x)) #s(literal 1 binary64)))
✓	51.2%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
✓	49.5%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Compiler

Compiled 423 to 228 computations (46.1% saved)

simplify379.0ms (5.1%)

Memory

27.6MiB live, 103.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 #s(literal 4 binary64) y)
cost-diff	0	(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
cost-diff	0	(/.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) (fma.f64 (.f64 #s(literal -4 binary64) y) y (.f64 x x)))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) (fma.f64 (.f64 #s(literal -4 binary64) y) y (.f64 x x))))
cost-diff	0	(/.f64 (*.f64 y y) x)
cost-diff	0	(/.f64 #s(literal -8 binary64) x)
cost-diff	0	(fma.f64 (/.f64 #s(literal -8 binary64) x) (/.f64 (*.f64 y 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) x) (/.f64 (*.f64 y y) x) #s(literal 1 binary64)))
cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 y y))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(*.f64 y y)
cost-diff	0	(fma.f64 #s(literal -8 binary64) (/.f64 (.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))) (fma.f64 #s(literal -8 binary64) (/.f64 (.f64 y y) (.f64 x x)) #s(literal 1 binary64)))
cost-diff	0	(/.f64 (*.f64 #s(literal -8 binary64) y) x)
cost-diff	0	(/.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) x) x)
cost-diff	0	(fma.f64 (/.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) x) x) y #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) x) x) y #s(literal 1 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	302
0	65	298
1	123	292
2	228	290
3	436	290
4	938	290
5	1260	290
6	1630	290
7	2154	290
8	3601	290
9	5366	290
10	5868	290
11	5946	290
12	5976	290
13	5984	290
14	5984	290
15	6441	290
16	6535	290
17	6535	290
18	6535	290
19	6591	290
20	6643	290
21	6701	290
22	6769	290
23	6793	290
24	6793	290
25	6793	290
26	6793	290
27	6793	290
0	6793	288

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize134.0ms (1.8%)

Memory

-55.2MiB live, 204.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 #s(literal -4 binary64) y)
accuracy	0.01171875	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) (fma.f64 (.f64 #s(literal -4 binary64) y) y (.f64 x x))))
accuracy	1.257798738027801	(fma.f64 (.f64 #s(literal -4 binary64) y) y (.f64 x x))
accuracy	31.809534218921435	(/.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) (fma.f64 (.f64 #s(literal -4 binary64) y) y (.f64 x x)))
accuracy	0.0	(*.f64 y y)
accuracy	1.9408757044911806	(fma.f64 (/.f64 #s(literal -8 binary64) x) (/.f64 (*.f64 y y) x) #s(literal 1 binary64))
accuracy	6.204387675324071	(/.f64 (*.f64 y y) x)
accuracy	30.32617994045862	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal -8 binary64) x) (/.f64 (*.f64 y y) x) #s(literal 1 binary64)))
accuracy	0.0078125	(.f64 (.f64 x x) #s(literal 1/2 binary64))
accuracy	0.2808779435802336	(/.f64 #s(literal 1 binary64) (*.f64 y y))
accuracy	10.594464387027921	(fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64))
accuracy	31.345606029649055	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)))
accuracy	0.0	(*.f64 y y)
accuracy	0.0	(*.f64 x x)
accuracy	13.953969451596484	(/.f64 (.f64 y y) (.f64 x x))
accuracy	30.32617994045862	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 #s(literal -8 binary64) (/.f64 (.f64 y y) (.f64 x x)) #s(literal 1 binary64)))
accuracy	0.0	(*.f64 #s(literal -8 binary64) y)
accuracy	0.12109375	(/.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) x) x)
accuracy	2.3665157652849533	(fma.f64 (/.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) x) x) y #s(literal 1 binary64))
accuracy	30.32617994045862	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) x) x) y #s(literal 1 binary64)))

Samples

79.0ms

256×

valid

Compiler

Compiled 570 to 80 computations (86% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-mult: 21.0ms (45.1% of total)

ival-div: 15.0ms (32.2% of total)

ival-add: 9.0ms (19.3% of total)

ival-sub: 1.0ms (2.1% of total)

exact: 1.0ms (2.1% of total)

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

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

series26.0ms (0.3%)

Memory

24.7MiB live, 61.4MiB allocated

Counts

24 → 52

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
9.0ms	y	@	inf	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ (/ (* -8 y) x) x) y) 1) (/ (/ (* -8 y) x) x) (/ (* -8 y) x) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* -8 (/ (* y y) (* x x))) 1) (* y y) (* x x) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (* (* x x) 1/2) (/ 1 (* y y)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ -8 x) (/ (* y y) x)) 1) (/ -8 x) (/ (* y y) x) (/ 1 (/ (+ (* (* 4 y) y) (* x x)) (+ (* (* -4 y) y) (* x x)))) (/ (+ (* (* 4 y) y) (* x x)) (+ (* (* -4 y) y) (* x x))) (+ (* (* 4 y) y) (* x x)) (* 4 y) (* -8 y) (/ (* y y) (* x x)) (+ (* (* (* x x) 1/2) (/ 1 (* y y))) -1) (+ (* (* -4 y) y) (* x x)) (* -4 y))
3.0ms	x	@	inf	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ (/ (* -8 y) x) x) y) 1) (/ (/ (* -8 y) x) x) (/ (* -8 y) x) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* -8 (/ (* y y) (* x x))) 1) (* y y) (* x x) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (* (* x x) 1/2) (/ 1 (* y y)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ -8 x) (/ (* y y) x)) 1) (/ -8 x) (/ (* y y) x) (/ 1 (/ (+ (* (* 4 y) y) (* x x)) (+ (* (* -4 y) y) (* x x)))) (/ (+ (* (* 4 y) y) (* x x)) (+ (* (* -4 y) y) (* x x))) (+ (* (* 4 y) y) (* x x)) (* 4 y) (* -8 y) (/ (* y y) (* x x)) (+ (* (* (* x x) 1/2) (/ 1 (* y y))) -1) (+ (* (* -4 y) y) (* x x)) (* -4 y))
3.0ms	y	@	-inf	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ (/ (* -8 y) x) x) y) 1) (/ (/ (* -8 y) x) x) (/ (* -8 y) x) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* -8 (/ (* y y) (* x x))) 1) (* y y) (* x x) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (* (* x x) 1/2) (/ 1 (* y y)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ -8 x) (/ (* y y) x)) 1) (/ -8 x) (/ (* y y) x) (/ 1 (/ (+ (* (* 4 y) y) (* x x)) (+ (* (* -4 y) y) (* x x)))) (/ (+ (* (* 4 y) y) (* x x)) (+ (* (* -4 y) y) (* x x))) (+ (* (* 4 y) y) (* x x)) (* 4 y) (* -8 y) (/ (* y y) (* x x)) (+ (* (* (* x x) 1/2) (/ 1 (* y y))) -1) (+ (* (* -4 y) y) (* x x)) (* -4 y))
3.0ms	y	@	0	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ (/ (* -8 y) x) x) y) 1) (/ (/ (* -8 y) x) x) (/ (* -8 y) x) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* -8 (/ (* y y) (* x x))) 1) (* y y) (* x x) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (* (* x x) 1/2) (/ 1 (* y y)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ -8 x) (/ (* y y) x)) 1) (/ -8 x) (/ (* y y) x) (/ 1 (/ (+ (* (* 4 y) y) (* x x)) (+ (* (* -4 y) y) (* x x)))) (/ (+ (* (* 4 y) y) (* x x)) (+ (* (* -4 y) y) (* x x))) (+ (* (* 4 y) y) (* x x)) (* 4 y) (* -8 y) (/ (* y y) (* x x)) (+ (* (* (* x x) 1/2) (/ 1 (* y y))) -1) (+ (* (* -4 y) y) (* x x)) (* -4 y))
3.0ms	x	@	0	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ (/ (* -8 y) x) x) y) 1) (/ (/ (* -8 y) x) x) (/ (* -8 y) x) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* -8 (/ (* y y) (* x x))) 1) (* y y) (* x x) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (* (* x x) 1/2) (/ 1 (* y y)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ -8 x) (/ (* y y) x)) 1) (/ -8 x) (/ (* y y) x) (/ 1 (/ (+ (* (* 4 y) y) (* x x)) (+ (* (* -4 y) y) (* x x)))) (/ (+ (* (* 4 y) y) (* x x)) (+ (* (* -4 y) y) (* x x))) (+ (* (* 4 y) y) (* x x)) (* 4 y) (* -8 y) (/ (* y y) (* x x)) (+ (* (* (* x x) 1/2) (/ 1 (* y y))) -1) (+ (* (* -4 y) y) (* x x)) (* -4 y))

simplify221.0ms (3%)

Memory

20.5MiB live, 215.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	191	856
1	555	800
2	1756	732
3	5387	716
0	8165	658

Stop Event

1×	iter limit
1×	node limit

Counts

52 → 52

Calls

Call 1

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

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

rewrite260.0ms (3.5%)

Memory

-4.0MiB live, 190.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	268
0	65	262
1	273	238
2	1911	236
0	8693	234

Stop Event

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

Counts

24 → 675

Calls

Call 1

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

eval325.0ms (4.4%)

Memory: -18.9MiB live, 115.5MiB allocated
Compiler: Compiled 24 131 to 2 347 computations (90.3% saved)

prune189.0ms (2.6%)

Memory

-1.0MiB live, 35.7MiB allocated

Pruning

11 alts after pruning (4 fresh and 7 done)

	Pruned	Kept	Total
New	685	3	688
Fresh	0	1	1
Picked	2	3	5
Done	0	4	4
Total	687	11	698

Accuracy

99.7%

Counts

698 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.6%	(fma.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)))))
✓	49.3%	(/.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)))
✓	49.3%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) (fma.f64 (.f64 #s(literal -4 binary64) y) y (.f64 x x))))
▶	52.1%	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (* 4 y) y) (* x x)) (+ (* (* -4 y) y) (* x x))) (fma.f64 (/.f64 #s(literal 8 binary64) x) (*.f64 (/.f64 y x) y) #s(literal 1 binary64))))
✓	52.6%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) x) x) y #s(literal 1 binary64)))
✓	51.0%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64)))
▶	48.4%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 x (/.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 y y)) #s(literal -1 binary64)))
▶	48.2%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 #s(literal -8 binary64) (/.f64 (/.f64 (*.f64 y y) x) x) #s(literal 1 binary64)))
✓	46.1%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 #s(literal -8 binary64) (/.f64 (.f64 y y) (.f64 x x)) #s(literal 1 binary64)))
✓	51.2%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
✓	49.5%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Compiler

Compiled 286 to 156 computations (45.5% saved)

simplify432.0ms (5.9%)

Memory

-8.6MiB live, 107.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	282
0	70	280
1	126	280
2	222	272
3	370	272
4	507	272
5	644	272
6	813	272
7	1255	272
8	2999	272
9	5115	272
10	5675	272
11	5794	272
12	5859	272
13	5894	272
14	5898	272
15	6276	272
16	6418	272
17	6418	272
18	6639	272
19	7052	272
20	7388	272
21	7500	272
22	7536	272
23	7568	272
24	7568	272
25	7568	272
26	7640	272
0	8024	267

Stop Event

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

Calls

Call 1

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

localize334.0ms (4.5%)

Memory

-1.8MiB live, 85.6MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0625	(fma.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)))))
accuracy	1.5999739903396142	(.f64 (.f64 #s(literal -4 binary64) y) (/.f64 y (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))))
accuracy	17.791765867519892	(/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)))
accuracy	19.148209748760838	(/.f64 y (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)))
accuracy	0.01171875	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (* 4 y) y) (* x x)) (+ (* (* -4 y) y) (* x x))) (fma.f64 (/.f64 #s(literal 8 binary64) x) (*.f64 (/.f64 y x) y) #s(literal 1 binary64))))
accuracy	0.15234375	(*.f64 (/.f64 y x) y)
accuracy	1.9369694544911806	(fma.f64 (/.f64 #s(literal 8 binary64) x) (*.f64 (/.f64 y x) y) #s(literal 1 binary64))
accuracy	31.267333856329994	#s(approx (/ (+ (* (* 4 y) y) (* x x)) (+ (* (* -4 y) y) (* x x))) (fma.f64 (/.f64 #s(literal 8 binary64) x) (*.f64 (/.f64 y x) y) #s(literal 1 binary64)))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	2.1642047627045153	(fma.f64 x (/.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 y y)) #s(literal -1 binary64))
accuracy	5.956474735909207	(/.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 y y))
accuracy	31.345606029649055	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 x (/.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 y y)) #s(literal -1 binary64)))
accuracy	0.0	(*.f64 y y)
accuracy	3.307357645533739	(/.f64 (/.f64 (*.f64 y y) x) x)
accuracy	6.204387675324071	(/.f64 (*.f64 y y) x)
accuracy	30.32617994045862	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 #s(literal -8 binary64) (/.f64 (/.f64 (*.f64 y y) x) x) #s(literal 1 binary64)))

Samples

231.0ms

256×

valid

Compiler

Compiled 536 to 91 computations (83% saved)

Precisions

Click to see histograms. Total time spent on operations: 214.0ms

ival-mult: 190.0ms (88.7% of total)

ival-div: 15.0ms (7% of total)

ival-add: 7.0ms (3.3% of total)

ival-sub: 1.0ms (0.5% of total)

exact: 1.0ms (0.5% of total)

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

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

series70.0ms (0.9%)

Memory

-3.0MiB live, 33.5MiB allocated

Counts

20 → 97

Calls

Call 1

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

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

Calls

6 calls:

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

simplify253.0ms (3.4%)

Memory

29.5MiB live, 182.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	439	2110
1	1311	1994
2	3923	1900
0	8583	1752

Stop Event

1×	iter limit
1×	node limit

Counts

97 → 97

Calls

Call 1

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

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

rewrite247.0ms (3.4%)

Memory

14.9MiB live, 247.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	254
0	70	252
1	277	252
2	2071	240
0	8832	236

Stop Event

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

Counts

20 → 629

Calls

Call 1

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

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

eval100.0ms (1.4%)

Memory: -14.9MiB live, 224.1MiB allocated
Compiler: Compiled 27 918 to 2 444 computations (91.2% saved)

prune22.0ms (0.3%)

Memory

-10.2MiB live, 66.4MiB allocated

Pruning

13 alts after pruning (2 fresh and 11 done)

	Pruned	Kept	Total
New	695	2	697
Fresh	0	0	0
Picked	0	4	4
Done	0	7	7
Total	695	13	708

Accuracy

99.7%

Counts

708 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	50.6%	(fma.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)))))
	32.9%	(/.f64 (fma.f64 (.f64 #s(literal -4 binary64) y) (/.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) x) (.f64 (/.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) y) x)) (.f64 (/.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) y) (/.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (*.f64 x x)) x)))
✓	49.3%	(/.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)))
✓	49.3%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) (fma.f64 (.f64 #s(literal -4 binary64) y) y (.f64 x x))))
✓	52.1%	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (* 4 y) y) (* x x)) (+ (* (* -4 y) y) (* x x))) (fma.f64 (/.f64 #s(literal 8 binary64) x) (*.f64 (/.f64 y x) y) #s(literal 1 binary64))))
✓	52.6%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) x) x) y #s(literal 1 binary64)))
✓	51.0%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64)))
✓	48.4%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 x (/.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 y y)) #s(literal -1 binary64)))
✓	48.2%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 #s(literal -8 binary64) (/.f64 (/.f64 (*.f64 y y) x) x) #s(literal 1 binary64)))
✓	46.1%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 #s(literal -8 binary64) (/.f64 (.f64 y y) (.f64 x x)) #s(literal 1 binary64)))
	27.3%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(approx (+ (* -8 (/ (/ (* y y) x) x)) 1) (/.f64 (/.f64 (fma.f64 #s(literal -8 binary64) (.f64 y y) (.f64 x x)) x) x)))
✓	51.2%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
✓	49.5%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Compiler

Compiled 886 to 297 computations (66.5% saved)

regimes31.0ms (0.4%)

Memory

15.5MiB live, 63.5MiB allocated

Counts

18 → 3

Calls

Call 1

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

Outputs

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

(fma.f64 (/.f64 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)))))

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

Calls

5 calls:

8.0ms	(*.f64 x x)
6.0ms	y
6.0ms	x
5.0ms	(.f64 (.f64 y #s(literal 4 binary64)) y)
5.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))

Results

Accuracy	Segments	Branch
84.5%	3	`x`
80.1%	3	`y`
76.0%	2	`(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))`
84.5%	3	`(*.f64 x x)`
80.1%	3	`(.f64 (.f64 y #s(literal 4 binary64)) y)`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes30.0ms (0.4%)

Memory

-22.9MiB live, 16.2MiB allocated

Counts

16 → 3

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

24.0ms	x
5.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
84.3%	3	`x`
84.3%	3	`(*.f64 x x)`

Compiler

Compiled 4 to 5 computations (-25% saved)

regimes10.0ms (0.1%)

Memory

18.2MiB live, 18.2MiB allocated

Counts

14 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

5.0ms	x
4.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
84.3%	3	`x`
84.3%	3	`(*.f64 x x)`

Compiler

Compiled 4 to 5 computations (-25% saved)

regimes28.0ms (0.4%)

Memory

-14.2MiB live, 24.9MiB allocated

Counts

11 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

24.0ms	x
3.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
79.0%	2	`x`
79.0%	2	`(*.f64 x x)`

Compiler

Compiled 4 to 5 computations (-25% saved)

regimes7.0ms (0.1%)

Memory

21.8MiB live, 21.8MiB allocated

Counts

9 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

3.0ms	x
3.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
78.8%	2	`x`
78.8%	2	`(*.f64 x x)`

Compiler

Compiled 4 to 5 computations (-25% saved)

regimes14.0ms (0.2%)

Memory

-6.4MiB live, 31.5MiB allocated

Counts

8 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

5.0ms	x
3.0ms	y
3.0ms	(.f64 (.f64 y #s(literal 4 binary64)) y)
3.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
75.5%	2	`y`
75.5%	2	`(.f64 (.f64 y #s(literal 4 binary64)) y)`
78.2%	2	`x`
78.2%	2	`(*.f64 x x)`

Compiler

Compiled 10 to 12 computations (-20% saved)

regimes4.0ms (0.1%)

Memory

10.8MiB live, 10.8MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
78.0%	2	`x`
78.0%	2	`(*.f64 x x)`

Compiler

Compiled 4 to 5 computations (-25% saved)

regimes27.0ms (0.4%)

Memory

-21.7MiB live, 27.6MiB 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:

22.0ms	(/.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)))
1.0ms	(.f64 (.f64 y #s(literal 4 binary64)) y)
1.0ms	x
1.0ms	y
1.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
49.5%	1	`y`
49.5%	1	`(.f64 (.f64 y #s(literal 4 binary64)) y)`
49.5%	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)))`
49.5%	1	`x`
49.5%	1	`(*.f64 x x)`

Compiler

Compiled 29 to 21 computations (27.6% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	6.584296517930039e+205	7.6686016954008815e+208
0.0ms	1.2106223254546505e-235	3.1884455814061027e-233

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	6.584296517930039e+205	7.6686016954008815e+208
0.0ms	1.2106223254546505e-235	3.1884455814061027e-233

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	6.584296517930039e+205	7.6686016954008815e+208
0.0ms	1.2106223254546505e-235	3.1884455814061027e-233

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.438914372171382e+109	6.800695909766246e+109

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.438914372171382e+109	6.800695909766246e+109

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.438914372171382e+109	6.800695909766246e+109

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.438914372171382e+109	6.800695909766246e+109

Compiler

Compiled 20 to 14 computations (30% saved)

simplify107.0ms (1.5%)

Memory

16.0MiB live, 55.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	536
1	74	536
2	100	536
3	157	536
4	268	536
5	419	536
6	719	536
7	4986	536

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 (.f64 x x) #s(literal 357986298980937/1789931494904685075276173995854677405670108698260665783090090606394441500334556509959080266614039273464334969326187482504649803797317086043777814127597786226282054644248700756391675078842436173515315000514484077967245659600421098975959924194154643456 binary64)) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 x (/.f64 x y)) #s(literal -1 binary64))) (if (<=.f64 (.f64 x x) #s(literal 100000000000000003889357755108838843130737249295202013334302382007691294289384896763079965607877701387326460311941213291353170611409437561654018367221268940354434586262616943544566455807655946219322240663552 binary64)) (fma.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))))) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) x) x) y #s(literal 1 binary64)))))
(if (<=.f64 (.f64 x x) #s(literal 357986298980937/1789931494904685075276173995854677405670108698260665783090090606394441500334556509959080266614039273464334969326187482504649803797317086043777814127597786226282054644248700756391675078842436173515315000514484077967245659600421098975959924194154643456 binary64)) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 x (/.f64 x y)) #s(literal -1 binary64))) (if (<=.f64 (.f64 x x) #s(literal 100000000000000003889357755108838843130737249295202013334302382007691294289384896763079965607877701387326460311941213291353170611409437561654018367221268940354434586262616943544566455807655946219322240663552 binary64)) (/.f64 #s(literal 1 binary64) (/.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(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) x) x) y #s(literal 1 binary64)))))
(if (<=.f64 (.f64 x x) #s(literal 357986298980937/1789931494904685075276173995854677405670108698260665783090090606394441500334556509959080266614039273464334969326187482504649803797317086043777814127597786226282054644248700756391675078842436173515315000514484077967245659600421098975959924194154643456 binary64)) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 x (/.f64 x y)) #s(literal -1 binary64))) (if (<=.f64 (.f64 x x) #s(literal 100000000000000003889357755108838843130737249295202013334302382007691294289384896763079965607877701387326460311941213291353170611409437561654018367221268940354434586262616943544566455807655946219322240663552 binary64)) (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) x) x) y #s(literal 1 binary64)))))
(if (<=.f64 (.f64 x x) #s(literal 19999999999999999637017414376799615729435301928656342495916796739798145108760106596411606848786275352526716928 binary64)) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 x (/.f64 x y)) #s(literal -1 binary64))) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) x) x) y #s(literal 1 binary64))))
(if (<=.f64 (.f64 x x) #s(literal 19999999999999999637017414376799615729435301928656342495916796739798145108760106596411606848786275352526716928 binary64)) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 x (/.f64 x y)) #s(literal -1 binary64))) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y #s(literal 1 binary64))))
(if (<=.f64 (.f64 x x) #s(literal 19999999999999999637017414376799615729435301928656342495916796739798145108760106596411606848786275352526716928 binary64)) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y #s(literal 1 binary64))))
(if (<=.f64 (.f64 x x) #s(literal 19999999999999999637017414376799615729435301928656342495916796739798145108760106596411606848786275352526716928 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 x x) #s(literal 357986298980937/1789931494904685075276173995854677405670108698260665783090090606394441500334556509959080266614039273464334969326187482504649803797317086043777814127597786226282054644248700756391675078842436173515315000514484077967245659600421098975959924194154643456 binary64)) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 x (/.f64 x y)) #s(literal -1 binary64))) (if (<=.f64 (.f64 x x) #s(literal 100000000000000003889357755108838843130737249295202013334302382007691294289384896763079965607877701387326460311941213291353170611409437561654018367221268940354434586262616943544566455807655946219322240663552 binary64)) (fma.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))))) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) x) x) y #s(literal 1 binary64)))))
(if (<=.f64 (.f64 x x) #s(literal 357986298980937/1789931494904685075276173995854677405670108698260665783090090606394441500334556509959080266614039273464334969326187482504649803797317086043777814127597786226282054644248700756391675078842436173515315000514484077967245659600421098975959924194154643456 binary64)) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 x (/.f64 x y)) #s(literal -1 binary64))) (if (<=.f64 (.f64 x x) #s(literal 100000000000000003889357755108838843130737249295202013334302382007691294289384896763079965607877701387326460311941213291353170611409437561654018367221268940354434586262616943544566455807655946219322240663552 binary64)) (/.f64 #s(literal 1 binary64) (/.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(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) x) x) y #s(literal 1 binary64)))))
(if (<=.f64 (.f64 x x) #s(literal 357986298980937/1789931494904685075276173995854677405670108698260665783090090606394441500334556509959080266614039273464334969326187482504649803797317086043777814127597786226282054644248700756391675078842436173515315000514484077967245659600421098975959924194154643456 binary64)) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 x (/.f64 x y)) #s(literal -1 binary64))) (if (<=.f64 (.f64 x x) #s(literal 100000000000000003889357755108838843130737249295202013334302382007691294289384896763079965607877701387326460311941213291353170611409437561654018367221268940354434586262616943544566455807655946219322240663552 binary64)) (pow.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)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) x) x) y #s(literal 1 binary64)))))
(if (<=.f64 (.f64 x x) #s(literal 357986298980937/1789931494904685075276173995854677405670108698260665783090090606394441500334556509959080266614039273464334969326187482504649803797317086043777814127597786226282054644248700756391675078842436173515315000514484077967245659600421098975959924194154643456 binary64)) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 x (/.f64 x y)) #s(literal -1 binary64))) (if (<=.f64 (.f64 x x) #s(literal 100000000000000003889357755108838843130737249295202013334302382007691294289384896763079965607877701387326460311941213291353170611409437561654018367221268940354434586262616943544566455807655946219322240663552 binary64)) (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) x) x) y #s(literal 1 binary64)))))
(if (<=.f64 (.f64 x x) #s(literal 19999999999999999637017414376799615729435301928656342495916796739798145108760106596411606848786275352526716928 binary64)) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 x (/.f64 x y)) #s(literal -1 binary64))) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) x) x) y #s(literal 1 binary64))))
(if (<=.f64 (.f64 x x) #s(literal 19999999999999999637017414376799615729435301928656342495916796739798145108760106596411606848786275352526716928 binary64)) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 x (/.f64 x y)) #s(literal -1 binary64))) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y #s(literal 1 binary64))))
(if (<=.f64 (.f64 x x) #s(literal 19999999999999999637017414376799615729435301928656342495916796739798145108760106596411606848786275352526716928 binary64)) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y #s(literal 1 binary64))))
(if (<=.f64 (.f64 x x) #s(literal 19999999999999999637017414376799615729435301928656342495916796739798145108760106596411606848786275352526716928 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))

soundness850.0ms (11.5%)

Memory

2.6MiB live, 543.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	116	423
1	321	387
2	982	341
3	4090	337
0	8208	307
0	31	176
0	49	172
1	193	168
2	1327	168
0	8760	168
0	9	43
0	15	43
1	54	43
2	397	43
3	6363	43
0	8342	39

Stop Event

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

Compiler

Compiled 899 to 239 computations (73.4% saved)

preprocess127.0ms (1.7%)

Memory

0.9MiB live, 170.6MiB allocated

Remove

(abs x)

(abs y)

Compiler

Compiled 1 664 to 340 computations (79.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze2.0ms (0%)

sample1.2s (16.1%)

explain139.0ms (1.9%)

preprocess186.0ms (2.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify55.0ms (0.7%)

localize40.0ms (0.5%)

series7.0ms (0.1%)

simplify188.0ms (2.5%)

rewrite214.0ms (2.9%)

eval109.0ms (1.5%)

prune15.0ms (0.2%)

simplify286.0ms (3.9%)

localize85.0ms (1.2%)

series37.0ms (0.5%)

simplify195.0ms (2.7%)

rewrite234.0ms (3.2%)

eval138.0ms (1.9%)

prune18.0ms (0.2%)

simplify379.0ms (5.1%)

localize134.0ms (1.8%)

series26.0ms (0.3%)

simplify221.0ms (3%)

rewrite260.0ms (3.5%)

eval325.0ms (4.4%)

prune189.0ms (2.6%)

simplify432.0ms (5.9%)

localize334.0ms (4.5%)

series70.0ms (0.9%)

simplify253.0ms (3.4%)

rewrite247.0ms (3.4%)

eval100.0ms (1.4%)

prune22.0ms (0.3%)

regimes31.0ms (0.4%)

regimes30.0ms (0.4%)

regimes10.0ms (0.1%)

regimes28.0ms (0.4%)

regimes7.0ms (0.1%)

regimes14.0ms (0.2%)

regimes4.0ms (0.1%)

regimes27.0ms (0.4%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify107.0ms (1.5%)

soundness850.0ms (11.5%)

preprocess127.0ms (1.7%)

end0.0ms (0%)

Profiling