Metrics for Data.Number.Erf:$cinvnormcdf from erf-2.0.0.0, B

analyze9.7s (32.3%)

Memory

3.4MiB live, 40.8MiB 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
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
62.5%	62.4%	37.5%	0.1%	0%	0%	0%	5
68.8%	68.7%	31.2%	0.1%	0%	0%	0%	6
78.1%	78%	21.9%	0.1%	0%	0%	0%	7
82.8%	82.7%	17.2%	0.1%	0%	0%	0%	8
88.3%	88.2%	11.7%	0.1%	0%	0%	0%	9
91%	90.9%	9%	0.1%	0%	0%	0%	10
93.9%	93.9%	6%	0.1%	0%	0%	0%	11
95.4%	95.3%	4.6%	0.1%	0%	0%	0%	12

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample10.9s (36.2%)

Memory

38.2MiB live, 979.3MiB allocated

Samples

10.5s	8 252×	0	valid
0.0ms	2×	1	valid
0.0ms	1×	3	valid
0.0ms	1×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 605.0ms

ival-div: 331.0ms (54.7% of total)

ival-add: 113.0ms (18.7% of total)

ival-mult: 108.0ms (17.9% of total)

ival-sub: 38.0ms (6.3% of total)

exact: 7.0ms (1.2% of total)

ival-true: 5.0ms (0.8% of total)

ival-assert: 3.0ms (0.5% of total)

adjust: 0.0ms (0% of total)

Bogosity

preprocess84.0ms (0.3%)

Memory

-20.2MiB live, 113.2MiB allocated

Algorithm

2×	egg-herbie

Rules

384×	`accelerator-lowering-fma.f32`
384×	`accelerator-lowering-fma.f64`
272×	`-lowering-.f32`
272×	`-lowering-.f64`
226×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	74
1	65	72
2	132	68
3	267	66
4	602	66
5	1047	66
6	1183	66
7	1211	66
8	1221	66
9	1225	66
0	9	11
1	17	11
2	28	11
3	43	11
4	85	11
5	158	11
6	279	11
7	375	11
8	584	11
9	674	11
10	796	11
11	832	11
12	991	11
13	1000	11
0	1000	10

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(- x (/ y (+ 1 (/ (* x y) 2))))

Outputs
(- x (/ y (+ 1 (/ (* x y) 2))))
(+.f64 x (/.f64 y (fma.f64 x (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal -1 binary64))))

Call 2

Inputs
(- x (/ y (+ 1 (/ (* x y) 2))))
(- (neg x) (/ y (+ 1 (/ (* (neg x) y) 2))))
(- x (/ (neg y) (+ 1 (/ (* x (neg y)) 2))))
(neg (- (neg x) (/ y (+ 1 (/ (* (neg x) y) 2)))))
(neg (- x (/ (neg y) (+ 1 (/ (* x (neg y)) 2)))))
(- y (/ x (+ 1 (/ (* y x) 2))))

Outputs
(- x (/ y (+ 1 (/ (* x y) 2))))
(+ x (/ y (+ (* x (* y -1/2)) -1)))
(- (neg x) (/ y (+ 1 (/ (* (neg x) y) 2))))
(- (/ y (+ (* x (* y 1/2)) -1)) x)
(- x (/ (neg y) (+ 1 (/ (* x (neg y)) 2))))
(+ x (/ y (+ 1 (* x (* y -1/2)))))
(neg (- (neg x) (/ y (+ 1 (/ (* (neg x) y) 2)))))
(+ x (/ y (+ 1 (* x (* y -1/2)))))
(neg (- x (/ (neg y) (+ 1 (/ (* x (neg y)) 2)))))
(- (/ y (+ (* x (* y 1/2)) -1)) x)
(- y (/ x (+ 1 (/ (* y x) 2))))
(+ y (/ x (+ (* x (* y -1/2)) -1)))

explain116.0ms (0.4%)

Memory

1.7MiB live, 279.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
40	-	-	`(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))`
1	-	-	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`
0	-	-	`(/.f64 (*.f64 x y) #s(literal 2 binary64))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(*.f64 x y)`
0	-	-	`(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`y`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`	cancellation	1	0

Confusion

	Predicted +	Predicted -
+	1	0
-	0	255

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	255

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

32.0ms

512×

valid

Compiler

Compiled 108 to 40 computations (63% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-div: 7.0ms (41.1% of total)

ival-mult: 4.0ms (23.5% of total)

ival-add: 3.0ms (17.6% of total)

ival-sub: 2.0ms (11.7% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify36.0ms (0.1%)

Memory

-29.9MiB live, 47.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))
✓	cost-diff	0	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
✓	cost-diff	192	(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))
✓	cost-diff	320	(/.f64 (*.f64 x y) #s(literal 2 binary64))

Rules

384×	`accelerator-lowering-fma.f32`
384×	`accelerator-lowering-fma.f64`
272×	`-lowering-.f32`
272×	`-lowering-.f64`
226×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	39
1	17	39
2	28	39
3	43	39
4	85	39
5	158	39
6	279	39
7	375	39
8	584	39
9	674	39
10	796	39
11	832	39
12	991	39
13	1000	39
0	1000	36

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(- x (/ y (+ 1 (/ (* x y) 2))))
x
(/ y (+ 1 (/ (* x y) 2)))
y
(+ 1 (/ (* x y) 2))
1
(/ (* x y) 2)
(* x y)
2

Outputs
(- x (/ y (+ 1 (/ (* x y) 2))))
(+.f64 x (/.f64 y (fma.f64 x (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal -1 binary64))))
x
(/ y (+ 1 (/ (* x y) 2)))
(/.f64 y (fma.f64 x (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)))
y
(+ 1 (/ (* x y) 2))
(fma.f64 x (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(/ (* x y) 2)
(fma.f64 x (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
2
#s(literal 2 binary64)

localize53.0ms (0.2%)

Memory

11.1MiB live, 51.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))
✓	accuracy	100.0%	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
✓	accuracy	85.3%	(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))

Samples

42.0ms

256×

valid

Compiler

Compiled 41 to 11 computations (73.2% saved)

Precisions

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

ival-div: 3.0ms (37% of total)

ival-mult: 2.0ms (24.7% of total)

ival-sub: 1.0ms (12.3% of total)

ival-add: 1.0ms (12.3% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0%)

Memory

13.9MiB live, 13.9MiB allocated

Counts

5 → 120

Calls

Call 1

Inputs
#<alt (/ (* x y) 2)>
#<alt (+ 1 (/ (* x y) 2))>
#<alt (- x (/ y (+ 1 (/ (* x y) 2))))>
#<alt (/ y (+ 1 (/ (* x y) 2)))>
#<alt (* x y)>

Outputs
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* x y)))>
#<alt (+ 1 (* 1/2 (* x y)))>
#<alt (+ 1 (* 1/2 (* x y)))>
#<alt (* 1/2 (* x y))>
#<alt (* x (+ (* 1/2 y) (/ 1 x)))>
#<alt (* x (+ (* 1/2 y) (/ 1 x)))>
#<alt (* x (+ (* 1/2 y) (/ 1 x)))>
#<alt (* 1/2 (* x y))>
#<alt (* -1 (* x (- (* -1/2 y) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1/2 y) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1/2 y) (/ 1 x))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* x y)))>
#<alt (+ 1 (* 1/2 (* x y)))>
#<alt (+ 1 (* 1/2 (* x y)))>
#<alt (* 1/2 (* x y))>
#<alt (* y (+ (* 1/2 x) (/ 1 y)))>
#<alt (* y (+ (* 1/2 x) (/ 1 y)))>
#<alt (* y (+ (* 1/2 x) (/ 1 y)))>
#<alt (* 1/2 (* x y))>
#<alt (* -1 (* y (- (* -1/2 x) (/ 1 y))))>
#<alt (* -1 (* y (- (* -1/2 x) (/ 1 y))))>
#<alt (* -1 (* y (- (* -1/2 x) (/ 1 y))))>
#<alt (* -1 y)>
#<alt (- (* x (+ 1 (* 1/2 (pow y 2)))) y)>
#<alt (- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)>
#<alt (- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)>
#<alt x>
#<alt (* x (- 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))>
#<alt x>
#<alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))>
#<alt (* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* y (- (* 1/2 (* x y)) 1)))>
#<alt (+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))>
#<alt (- x (* 2 (/ 1 x)))>
#<alt (- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))>
#<alt (- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))>
#<alt (- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))>
#<alt (- x (* 2 (/ 1 x)))>
#<alt (- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))>
#<alt (- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))>
#<alt (- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))>
#<alt y>
#<alt (* y (+ 1 (* -1/2 (* x y))))>
#<alt (* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))>
#<alt (* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))>
#<alt (/ 2 x)>
#<alt (- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))>
#<alt (- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))>
#<alt (- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))>
#<alt (/ 2 x)>
#<alt (- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))>
#<alt (+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))>
#<alt y>
#<alt (+ y (* -1/2 (* x (pow y 2))))>
#<alt (+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))>
#<alt (+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))>
#<alt (/ 2 x)>
#<alt (/ (- 2 (* 4 (/ 1 (* x y)))) x)>
#<alt (/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)>
#<alt (/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)>
#<alt (/ 2 x)>
#<alt (* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>

Calls

30 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(- x (/ y (+ 1 (/ (* x y) 2))))
1.0ms	y	@	0	(/ (* x y) 2)
1.0ms	x	@	inf	(/ (* x y) 2)
1.0ms	x	@	0	(/ (* x y) 2)
1.0ms	y	@	inf	(- x (/ y (+ 1 (/ (* x y) 2))))

rewrite381.0ms (1.3%)

Memory

21.2MiB live, 691.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 754×	`accelerator-lowering-fma.f32`
5 754×	`accelerator-lowering-fma.f64`
4 124×	`-lowering-.f32`
4 124×	`-lowering-.f64`
2 962×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	35
1	58	35
2	495	35
3	6876	35
0	8530	32

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 279

Calls

Call 1

Inputs
(/ (* x y) 2)
(+ 1 (/ (* x y) 2))
(- x (/ y (+ 1 (/ (* x y) 2))))
(/ y (+ 1 (/ (* x y) 2)))
(* x y)

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

simplify508.0ms (1.7%)

Memory

6.2MiB live, 964.4MiB allocated

Algorithm

1×	egg-herbie

Rules

13 558×	`accelerator-lowering-fma.f32`
13 558×	`accelerator-lowering-fma.f64`
4 930×	`-lowering-.f32`
4 930×	`-lowering-.f64`
1 854×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	231	1053
1	738	1018
2	1942	987
3	6081	981
0	8428	934

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

Inputs
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
1
(+ 1 (* 1/2 (* x y)))
(+ 1 (* 1/2 (* x y)))
(+ 1 (* 1/2 (* x y)))
(* 1/2 (* x y))
(* x (+ (* 1/2 y) (/ 1 x)))
(* x (+ (* 1/2 y) (/ 1 x)))
(* x (+ (* 1/2 y) (/ 1 x)))
(* 1/2 (* x y))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
1
(+ 1 (* 1/2 (* x y)))
(+ 1 (* 1/2 (* x y)))
(+ 1 (* 1/2 (* x y)))
(* 1/2 (* x y))
(* y (+ (* 1/2 x) (/ 1 y)))
(* y (+ (* 1/2 x) (/ 1 y)))
(* y (+ (* 1/2 x) (/ 1 y)))
(* 1/2 (* x y))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(* -1 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
x
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
x
(+ x (* -1 y))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
y
(* y (+ 1 (* -1/2 (* x y))))
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))
(/ 2 x)
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(/ 2 x)
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))
y
(+ y (* -1/2 (* x (pow y 2))))
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))
(/ 2 x)
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
(/ 2 x)
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)

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

eval49.0ms (0.2%)

Memory: -14.5MiB live, 141.2MiB allocated
Compiler: Compiled 11 269 to 1 048 computations (90.7% saved)

prune50.0ms (0.2%)

Memory

-7.1MiB live, 114.9MiB allocated

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	384	15	399
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	385	15	400

Accuracy

100.0%

Counts

400 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.9%	(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))) y x)
	37.3%	(fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (/.f64 (.f64 y (+.f64 x (/.f64 y (fma.f64 x (.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (fma.f64 x (.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (neg.f64 (/.f64 (.f64 y (.f64 y y)) (.f64 (fma.f64 x x (/.f64 (.f64 y (+.f64 x (/.f64 y (fma.f64 x (.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (fma.f64 x (.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))))))))
▶	59.8%	(fma.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) x)
	72.8%	(fma.f64 x (/.f64 x (+.f64 x (/.f64 y (fma.f64 x (.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (neg.f64 (/.f64 (.f64 y y) (.f64 (+.f64 x (/.f64 y (fma.f64 x (.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))))))
	61.0%	(fma.f64 x (/.f64 #s(literal -2 binary64) (*.f64 x x)) x)
	37.4%	(/.f64 (fma.f64 x (.f64 x x) (/.f64 (.f64 y (.f64 y y)) (.f64 (fma.f64 (.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)) (.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))))) (fma.f64 x x (/.f64 (.f64 y (+.f64 x (/.f64 y (fma.f64 x (.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
	53.7%	(/.f64 (fma.f64 x x (/.f64 (.f64 y y) (.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64))))) (+.f64 x (/.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
▶	53.1%	(-.f64 x (fma.f64 x (.f64 (.f64 y y) (fma.f64 x (*.f64 y #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) y))
▶	99.9%	(-.f64 x (/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64))))
	63.4%	(-.f64 x (/.f64 #s(literal 2 binary64) x))
	99.8%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y)))
	72.2%	(-.f64 x y)
	37.3%	(.f64 (fma.f64 x (.f64 x x) (/.f64 (.f64 y (.f64 y y)) (.f64 (fma.f64 (.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)) (.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (/.f64 (.f64 y (+.f64 x (/.f64 y (fma.f64 x (.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (fma.f64 x (.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
▶	53.5%	(.f64 (fma.f64 x x (/.f64 (.f64 y y) (.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y (fma.f64 x (.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
▶	61.2%	x

Compiler

Compiled 802 to 356 computations (55.6% saved)

simplify386.0ms (1.3%)

Memory

5.8MiB live, 519.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (.f64 y y) (.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64))))
✓	cost-diff	0	(fma.f64 x x (/.f64 (.f64 y y) (.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)))))
✓	cost-diff	320	(.f64 (fma.f64 x x (/.f64 (.f64 y y) (.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y (fma.f64 x (.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
✓	cost-diff	448	(.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)))
✓	cost-diff	0	(fma.f64 x (*.f64 y #s(literal 1/4 binary64)) #s(literal -1/2 binary64))
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(fma.f64 x (.f64 (.f64 y y) (fma.f64 x (*.f64 y #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) y)
✓	cost-diff	128	(-.f64 x (fma.f64 x (.f64 (.f64 y y) (fma.f64 x (*.f64 y #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) y))
✓	cost-diff	-64	(*.f64 x y)
✓	cost-diff	0	(fma.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) x)
✓	cost-diff	64	(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64))
✓	cost-diff	-64	(fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 y #s(literal 1/2 binary64))
✓	cost-diff	0	(/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
✓	cost-diff	0	(-.f64 x (/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64))))

Rules

14 736×	`accelerator-lowering-fma.f32`
14 736×	`accelerator-lowering-fma.f64`
3 912×	`-lowering-.f32`
3 912×	`-lowering-.f64`
1 668×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	276
1	105	274
2	295	274
3	933	274
4	2903	266
5	6270	266
0	8162	237

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(- x (/ y (+ (* (* y 1/2) x) 1)))
x
(/ y (+ (* (* y 1/2) x) 1))
y
(+ (* (* y 1/2) x) 1)
(* y 1/2)
1/2
1
x
(+ (* y (+ (* 1/2 (* x y)) -1)) x)
y
(+ (* 1/2 (* x y)) -1)
1/2
(* x y)
x
-1
(- x (+ (* x (* (* y y) (+ (* x (* y 1/4)) -1/2))) y))
x
(+ (* x (* (* y y) (+ (* x (* y 1/4)) -1/2))) y)
(* (* y y) (+ (* x (* y 1/4)) -1/2))
(* y y)
y
(+ (* x (* y 1/4)) -1/2)
(* y 1/4)
1/4
-1/2
(* (+ (* x x) (/ (* y y) (* (+ (* x (* y 1/2)) 1) (+ (* (* x y) -1/2) -1)))) (/ 1 (+ x (/ y (+ (* x (* y 1/2)) 1)))))
(+ (* x x) (/ (* y y) (* (+ (* x (* y 1/2)) 1) (+ (* (* x y) -1/2) -1))))
x
(/ (* y y) (* (+ (* x (* y 1/2)) 1) (+ (* (* x y) -1/2) -1)))
(* y y)
y
(* (+ (* x (* y 1/2)) 1) (+ (* (* x y) -1/2) -1))
(+ (* x (* y 1/2)) 1)
(* y 1/2)
1/2
1
(+ (* (* x y) -1/2) -1)
(* x y)
-1/2
-1
(/ 1 (+ x (/ y (+ (* x (* y 1/2)) 1))))
(+ x (/ y (+ (* x (* y 1/2)) 1)))
(/ y (+ (* x (* y 1/2)) 1))

Outputs
(- x (/ y (+ (* (* y 1/2) x) 1)))
(+.f64 x (/.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal -1 binary64))))
x
(/ y (+ (* (* y 1/2) x) 1))
(/.f64 y (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)))
y
(+ (* (* y 1/2) x) 1)
(fma.f64 y (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(* y 1/2)
(*.f64 y #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
1
#s(literal 1 binary64)
x
(+ (* y (+ (* 1/2 (* x y)) -1)) x)
(fma.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64)) x)
y
(+ (* 1/2 (* x y)) -1)
(fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64))
1/2
#s(literal 1/2 binary64)
(* x y)
(fma.f64 x y #s(literal 0 binary64))
x
-1
#s(literal -1 binary64)
(- x (+ (* x (* (* y y) (+ (* x (* y 1/4)) -1/2))) y))
(fma.f64 y (fma.f64 y (fma.f64 x (fma.f64 x (*.f64 y #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64)) x)
x
(+ (* x (* (* y y) (+ (* x (* y 1/4)) -1/2))) y)
(fma.f64 y (fma.f64 x (.f64 y (fma.f64 x (.f64 y #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))
(* (* y y) (+ (* x (* y 1/4)) -1/2))
(fma.f64 y (.f64 y (fma.f64 x (.f64 y #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) #s(literal 0 binary64))
(* y y)
(*.f64 y y)
y
(+ (* x (* y 1/4)) -1/2)
(fma.f64 x (*.f64 y #s(literal 1/4 binary64)) #s(literal -1/2 binary64))
(* y 1/4)
(*.f64 y #s(literal 1/4 binary64))
1/4
#s(literal 1/4 binary64)
-1/2
#s(literal -1/2 binary64)
(* (+ (* x x) (/ (* y y) (* (+ (* x (* y 1/2)) 1) (+ (* (* x y) -1/2) -1)))) (/ 1 (+ x (/ y (+ (* x (* y 1/2)) 1)))))
(/.f64 (fma.f64 x x (/.f64 (.f64 y y) (fma.f64 y (.f64 x (fma.f64 x (*.f64 y #s(literal -1/4 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))) (+.f64 x (/.f64 y (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)))))
(+ (* x x) (/ (* y y) (* (+ (* x (* y 1/2)) 1) (+ (* (* x y) -1/2) -1))))
(fma.f64 x x (/.f64 (.f64 y y) (fma.f64 y (.f64 x (fma.f64 x (*.f64 y #s(literal -1/4 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))))
x
(/ (* y y) (* (+ (* x (* y 1/2)) 1) (+ (* (* x y) -1/2) -1)))
(/.f64 (.f64 y y) (fma.f64 y (.f64 x (fma.f64 x (*.f64 y #s(literal -1/4 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(* y y)
(*.f64 y y)
y
(* (+ (* x (* y 1/2)) 1) (+ (* (* x y) -1/2) -1))
(fma.f64 y (.f64 x (fma.f64 x (.f64 y #s(literal -1/4 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(+ (* x (* y 1/2)) 1)
(fma.f64 y (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(* y 1/2)
(*.f64 y #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
1
#s(literal 1 binary64)
(+ (* (* x y) -1/2) -1)
(fma.f64 y (fma.f64 x #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal -1 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
-1/2
#s(literal -1/2 binary64)
-1
#s(literal -1 binary64)
(/ 1 (+ x (/ y (+ (* x (* y 1/2)) 1))))
(/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)))))
(+ x (/ y (+ (* x (* y 1/2)) 1)))
(+.f64 x (/.f64 y (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))))
(/ y (+ (* x (* y 1/2)) 1))
(/.f64 y (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)))

localize113.0ms (0.4%)

Memory

16.9MiB live, 211.8MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)))
✓	accuracy	85.3%	(/.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))
✓	accuracy	76.1%	(/.f64 (.f64 y y) (.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64))))
✓	accuracy	68.1%	(.f64 (fma.f64 x x (/.f64 (.f64 y y) (.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y (fma.f64 x (.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
✓	accuracy	100.0%	(*.f64 y #s(literal 1/4 binary64))
✓	accuracy	100.0%	(-.f64 x (fma.f64 x (.f64 (.f64 y y) (fma.f64 x (*.f64 y #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) y))
✓	accuracy	99.0%	(.f64 (.f64 y y) (fma.f64 x (*.f64 y #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))
✓	accuracy	95.5%	(fma.f64 x (.f64 (.f64 y y) (fma.f64 x (*.f64 y #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) y)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64))
✓	accuracy	99.9%	(fma.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) x)
✓	accuracy	100.0%	(fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 y #s(literal 1/2 binary64))
✓	accuracy	100.0%	(-.f64 x (/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64))))
✓	accuracy	85.3%	(/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64)))

Samples

66.0ms

256×

valid

Compiler

Compiled 250 to 39 computations (84.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-mult: 24.0ms (54.7% of total)

ival-add: 10.0ms (22.8% of total)

ival-div: 7.0ms (16% of total)

ival-sub: 2.0ms (4.6% of total)

exact: 1.0ms (2.3% of total)

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

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

series30.0ms (0.1%)

Memory

15.0MiB live, 53.3MiB allocated

Counts

18 → 396

Calls

Call 1

Inputs
#<alt (- x (/ y (+ (* (* y 1/2) x) 1)))>
#<alt (/ y (+ (* (* y 1/2) x) 1))>
#<alt (* y 1/2)>
#<alt (+ (* (* y 1/2) x) 1)>
#<alt (+ (* 1/2 (* x y)) -1)>
#<alt (+ (* y (+ (* 1/2 (* x y)) -1)) x)>
#<alt (* x y)>
#<alt (- x (+ (* x (* (* y y) (+ (* x (* y 1/4)) -1/2))) y))>
#<alt (+ (* x (* (* y y) (+ (* x (* y 1/4)) -1/2))) y)>
#<alt (* y y)>
#<alt (+ (* x (* y 1/4)) -1/2)>
#<alt (* (+ (* x (* y 1/2)) 1) (+ (* (* x y) -1/2) -1))>
#<alt (* (+ (* x x) (/ (* y y) (* (+ (* x (* y 1/2)) 1) (+ (* (* x y) -1/2) -1)))) (/ 1 (+ x (/ y (+ (* x (* y 1/2)) 1)))))>
#<alt (+ (* x x) (/ (* y y) (* (+ (* x (* y 1/2)) 1) (+ (* (* x y) -1/2) -1))))>
#<alt (/ (* y y) (* (+ (* x (* y 1/2)) 1) (+ (* (* x y) -1/2) -1)))>
#<alt (* (* y y) (+ (* x (* y 1/4)) -1/2))>
#<alt (* y 1/4)>
#<alt (/ y (+ (* x (* y 1/2)) 1))>

Outputs
#<alt (* -1 y)>
#<alt (- (* x (+ 1 (* 1/2 (pow y 2)))) y)>
#<alt (- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)>
#<alt (- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)>
#<alt x>
#<alt (* x (- 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))>
#<alt x>
#<alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))>
#<alt (* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* y (- (* 1/2 (* x y)) 1)))>
#<alt (+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))>
#<alt (- x (* 2 (/ 1 x)))>
#<alt (- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))>
#<alt (- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))>
#<alt (- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))>
#<alt (- x (* 2 (/ 1 x)))>
#<alt (- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))>
#<alt (- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))>
#<alt (- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))>
#<alt y>
#<alt (* y (+ 1 (* -1/2 (* x y))))>
#<alt (* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))>
#<alt (* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))>
#<alt (/ 2 x)>
#<alt (- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))>
#<alt (- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))>
#<alt (- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))>
#<alt (/ 2 x)>
#<alt (- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))>
#<alt (+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))>
#<alt y>
#<alt (+ y (* -1/2 (* x (pow y 2))))>
#<alt (+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))>
#<alt (+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))>
#<alt (/ 2 x)>
#<alt (/ (- 2 (* 4 (/ 1 (* x y)))) x)>
#<alt (/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)>
#<alt (/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)>
#<alt (/ 2 x)>
#<alt (* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt 1>
#<alt (+ 1 (* 1/2 (* x y)))>
#<alt (+ 1 (* 1/2 (* x y)))>
#<alt (+ 1 (* 1/2 (* x y)))>
#<alt (* 1/2 (* x y))>
#<alt (* y (+ (* 1/2 x) (/ 1 y)))>
#<alt (* y (+ (* 1/2 x) (/ 1 y)))>
#<alt (* y (+ (* 1/2 x) (/ 1 y)))>
#<alt (* 1/2 (* x y))>
#<alt (* -1 (* y (- (* -1/2 x) (/ 1 y))))>
#<alt (* -1 (* y (- (* -1/2 x) (/ 1 y))))>
#<alt (* -1 (* y (- (* -1/2 x) (/ 1 y))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* x y)))>
#<alt (+ 1 (* 1/2 (* x y)))>
#<alt (+ 1 (* 1/2 (* x y)))>
#<alt (* 1/2 (* x y))>
#<alt (* x (+ (* 1/2 y) (/ 1 x)))>
#<alt (* x (+ (* 1/2 y) (/ 1 x)))>
#<alt (* x (+ (* 1/2 y) (/ 1 x)))>
#<alt (* 1/2 (* x y))>
#<alt (* -1 (* x (- (* -1/2 y) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1/2 y) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1/2 y) (/ 1 x))))>
#<alt -1>
#<alt (- (* 1/2 (* x y)) 1)>
#<alt (- (* 1/2 (* x y)) 1)>
#<alt (- (* 1/2 (* x y)) 1)>
#<alt (* 1/2 (* x y))>
#<alt (* x (- (* 1/2 y) (/ 1 x)))>
#<alt (* x (- (* 1/2 y) (/ 1 x)))>
#<alt (* x (- (* 1/2 y) (/ 1 x)))>
#<alt (* 1/2 (* x y))>
#<alt (* -1 (* x (+ (* -1/2 y) (/ 1 x))))>
#<alt (* -1 (* x (+ (* -1/2 y) (/ 1 x))))>
#<alt (* -1 (* x (+ (* -1/2 y) (/ 1 x))))>
#<alt -1>
#<alt (- (* 1/2 (* x y)) 1)>
#<alt (- (* 1/2 (* x y)) 1)>
#<alt (- (* 1/2 (* x y)) 1)>
#<alt (* 1/2 (* x y))>
#<alt (* y (- (* 1/2 x) (/ 1 y)))>
#<alt (* y (- (* 1/2 x) (/ 1 y)))>
#<alt (* y (- (* 1/2 x) (/ 1 y)))>
#<alt (* 1/2 (* x y))>
#<alt (* -1 (* y (+ (* -1/2 x) (/ 1 y))))>
#<alt (* -1 (* y (+ (* -1/2 x) (/ 1 y))))>
#<alt (* -1 (* y (+ (* -1/2 x) (/ 1 y))))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* y (- (* 1/2 (* x y)) 1)))>
#<alt (+ x (* y (- (* 1/2 (* x y)) 1)))>
#<alt (* 1/2 (* x (pow y 2)))>
#<alt (* (pow y 2) (- (* 1/2 x) (/ 1 y)))>
#<alt (* (pow y 2) (- (+ (* 1/2 x) (/ x (pow y 2))) (/ 1 y)))>
#<alt (* (pow y 2) (- (+ (* 1/2 x) (/ x (pow y 2))) (/ 1 y)))>
#<alt (* 1/2 (* x (pow y 2)))>
#<alt (* (pow y 2) (- (* 1/2 x) (/ 1 y)))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ 1 (* -1 (/ x y))) y)) (* 1/2 x)))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ 1 (* -1 (/ x y))) y)) (* 1/2 x)))>
#<alt (* -1 y)>
#<alt (+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2)))))>
#<alt (+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2)))))>
#<alt (+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2)))))>
#<alt (* x (+ 1 (* 1/2 (pow y 2))))>
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#<alt (* -1 (* x (+ (* -1/4 (pow y 3)) (* 1/2 (/ (pow y 2) x)))))>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt y>
#<alt (* y (+ 1 (* -1/2 (* x y))))>
#<alt (* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))>
#<alt (* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))>
#<alt (/ 2 x)>
#<alt (- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))>
#<alt (- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))>
#<alt (- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))>
#<alt (/ 2 x)>
#<alt (- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))>
#<alt (+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))>
#<alt y>
#<alt (+ y (* -1/2 (* x (pow y 2))))>
#<alt (+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))>
#<alt (+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))>
#<alt (/ 2 x)>
#<alt (/ (- 2 (* 4 (/ 1 (* x y)))) x)>
#<alt (/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)>
#<alt (/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)>
#<alt (/ 2 x)>
#<alt (* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))>

Calls

99 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(* (+ (* x x) (/ (* y y) (* (+ (* x (* y 1/2)) 1) (+ (* (* x y) -1/2) -1)))) (/ 1 (+ x (/ y (+ (* x (* y 1/2)) 1)))))
3.0ms	y	@	inf	(* (+ (* x x) (/ (* y y) (* (+ (* x (* y 1/2)) 1) (+ (* (* x y) -1/2) -1)))) (/ 1 (+ x (/ y (+ (* x (* y 1/2)) 1)))))
2.0ms	x	@	-inf	(+ (* x (* (* y y) (+ (* x (* y 1/4)) -1/2))) y)
2.0ms	y	@	-inf	(* (+ (* x x) (/ (* y y) (* (+ (* x (* y 1/2)) 1) (+ (* (* x y) -1/2) -1)))) (/ 1 (+ x (/ y (+ (* x (* y 1/2)) 1)))))
1.0ms	y	@	0	(+ (* y (+ (* 1/2 (* x y)) -1)) x)

rewrite821.0ms (2.7%)

Memory

-39.0MiB live, 777.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 464×	`/-lowering-/.f32`
5 464×	`/-lowering-/.f64`
5 324×	`-lowering-.f32`
5 324×	`-lowering-.f64`
5 240×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	184
1	272	169
2	2306	169
0	9317	151

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 932

Calls

Call 1

Inputs
(- x (/ y (+ (* (* y 1/2) x) 1)))
(/ y (+ (* (* y 1/2) x) 1))
(* y 1/2)
(+ (* (* y 1/2) x) 1)
(+ (* 1/2 (* x y)) -1)
(+ (* y (+ (* 1/2 (* x y)) -1)) x)
(* x y)
(- x (+ (* x (* (* y y) (+ (* x (* y 1/4)) -1/2))) y))
(+ (* x (* (* y y) (+ (* x (* y 1/4)) -1/2))) y)
(* y y)
(+ (* x (* y 1/4)) -1/2)
(* (+ (* x (* y 1/2)) 1) (+ (* (* x y) -1/2) -1))
(* (+ (* x x) (/ (* y y) (* (+ (* x (* y 1/2)) 1) (+ (* (* x y) -1/2) -1)))) (/ 1 (+ x (/ y (+ (* x (* y 1/2)) 1)))))
(+ (* x x) (/ (* y y) (* (+ (* x (* y 1/2)) 1) (+ (* (* x y) -1/2) -1))))
(/ (* y y) (* (+ (* x (* y 1/2)) 1) (+ (* (* x y) -1/2) -1)))
(* (* y y) (+ (* x (* y 1/4)) -1/2))
(* y 1/4)
(/ y (+ (* x (* y 1/2)) 1))

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

simplify1.2s (4.1%)

Memory

17.2MiB live, 611.8MiB allocated

Algorithm

1×	egg-herbie

Rules

8 430×	`accelerator-lowering-fma.f32`
8 430×	`accelerator-lowering-fma.f64`
5 622×	`-lowering-.f32`
5 622×	`-lowering-.f64`
3 502×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	719	5714
1	2365	5480
2	7871	5480
0	8297	5159

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 396

Calls

Call 1

Inputs
(* -1 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
x
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
x
(+ x (* -1 y))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
y
(* y (+ 1 (* -1/2 (* x y))))
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))
(/ 2 x)
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(/ 2 x)
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))
y
(+ y (* -1/2 (* x (pow y 2))))
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))
(/ 2 x)
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
(/ 2 x)
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
1
(+ 1 (* 1/2 (* x y)))
(+ 1 (* 1/2 (* x y)))
(+ 1 (* 1/2 (* x y)))
(* 1/2 (* x y))
(* y (+ (* 1/2 x) (/ 1 y)))
(* y (+ (* 1/2 x) (/ 1 y)))
(* y (+ (* 1/2 x) (/ 1 y)))
(* 1/2 (* x y))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
1
(+ 1 (* 1/2 (* x y)))
(+ 1 (* 1/2 (* x y)))
(+ 1 (* 1/2 (* x y)))
(* 1/2 (* x y))
(* x (+ (* 1/2 y) (/ 1 x)))
(* x (+ (* 1/2 y) (/ 1 x)))
(* x (+ (* 1/2 y) (/ 1 x)))
(* 1/2 (* x y))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
-1
(- (* 1/2 (* x y)) 1)
(- (* 1/2 (* x y)) 1)
(- (* 1/2 (* x y)) 1)
(* 1/2 (* x y))
(* x (- (* 1/2 y) (/ 1 x)))
(* x (- (* 1/2 y) (/ 1 x)))
(* x (- (* 1/2 y) (/ 1 x)))
(* 1/2 (* x y))
(* -1 (* x (+ (* -1/2 y) (/ 1 x))))
(* -1 (* x (+ (* -1/2 y) (/ 1 x))))
(* -1 (* x (+ (* -1/2 y) (/ 1 x))))
-1
(- (* 1/2 (* x y)) 1)
(- (* 1/2 (* x y)) 1)
(- (* 1/2 (* x y)) 1)
(* 1/2 (* x y))
(* y (- (* 1/2 x) (/ 1 y)))
(* y (- (* 1/2 x) (/ 1 y)))
(* y (- (* 1/2 x) (/ 1 y)))
(* 1/2 (* x y))
(* -1 (* y (+ (* -1/2 x) (/ 1 y))))
(* -1 (* y (+ (* -1/2 x) (/ 1 y))))
(* -1 (* y (+ (* -1/2 x) (/ 1 y))))
x
(+ x (* -1 y))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(* 1/2 (* x (pow y 2)))
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(* (pow y 2) (- (+ (* 1/2 x) (/ x (pow y 2))) (/ 1 y)))
(* (pow y 2) (- (+ (* 1/2 x) (/ x (pow y 2))) (/ 1 y)))
(* 1/2 (* x (pow y 2)))
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(* (pow y 2) (+ (* -1 (/ (+ 1 (* -1 (/ x y))) y)) (* 1/2 x)))
(* (pow y 2) (+ (* -1 (/ (+ 1 (* -1 (/ x y))) y)) (* 1/2 x)))
(* -1 y)
(+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2)))))
(+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2)))))
(+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2)))))
(* x (+ 1 (* 1/2 (pow y 2))))
(* x (+ 1 (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))))
(* x (+ 1 (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))))
(* x (+ 1 (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))))
(* -1 (* x (- (* -1/2 (pow y 2)) 1)))
(* -1 (* x (- (+ (* -1/2 (pow y 2)) (/ y x)) 1)))
(* -1 (* x (- (+ (* -1/2 (pow y 2)) (/ y x)) 1)))
(* -1 (* x (- (+ (* -1/2 (pow y 2)) (/ y x)) 1)))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 y)
(- (* x (- 1 (* -1/2 (pow y 2)))) y)
(- (* x (- (+ 1 (* -1/4 (* x (pow y 3)))) (* -1/2 (pow y 2)))) y)
(- (* x (- (+ 1 (* -1/4 (* x (pow y 3)))) (* -1/2 (pow y 2)))) y)
(* -1/4 (* (pow x 2) (pow y 3)))
(* (pow x 2) (- (/ 1 x) (+ (* -1/2 (/ (pow y 2) x)) (* 1/4 (pow y 3)))))
(* (pow x 2) (- (+ (* -1 (/ y (pow x 2))) (/ 1 x)) (+ (* -1/2 (/ (pow y 2) x)) (* 1/4 (pow y 3)))))
(* (pow x 2) (- (+ (* -1 (/ y (pow x 2))) (/ 1 x)) (+ (* -1/2 (/ (pow y 2) x)) (* 1/4 (pow y 3)))))
(* -1/4 (* (pow x 2) (pow y 3)))
(* (pow x 2) (- (+ (* 1/2 (/ (pow y 2) x)) (/ 1 x)) (* 1/4 (pow y 3))))
(* (pow x 2) (- (* -1 (/ (- (/ y x) (+ 1 (* 1/2 (pow y 2)))) x)) (* 1/4 (pow y 3))))
(* (pow x 2) (- (* -1 (/ (- (/ y x) (+ 1 (* 1/2 (pow y 2)))) x)) (* 1/4 (pow y 3))))
x
(+ x (* -1 y))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+ x (* y (- (* y (- (* -1/4 (* (pow x 2) y)) (* -1/2 x))) 1)))
(* -1/4 (* (pow x 2) (pow y 3)))
(* (pow y 3) (- (* 1/2 (/ x y)) (* 1/4 (pow x 2))))
(* (pow y 3) (- (* -1 (/ (+ (* -1/2 x) (/ 1 y)) y)) (* 1/4 (pow x 2))))
(* (pow y 3) (- (/ x (pow y 3)) (+ (* -1/2 (/ x y)) (+ (* 1/4 (pow x 2)) (/ 1 (pow y 2))))))
(* -1/4 (* (pow x 2) (pow y 3)))
(* -1 (* (pow y 3) (- (* -1/2 (/ x y)) (* -1/4 (pow x 2)))))
(* -1 (* (pow y 3) (- (+ (* -1/2 (/ x y)) (/ 1 (pow y 2))) (* -1/4 (pow x 2)))))
(* -1 (* (pow y 3) (- (* -1 (/ (- (* -1 (/ (+ 1 (* -1 (/ x y))) y)) (* -1/2 x)) y)) (* -1/4 (pow x 2)))))
y
(+ y (* -1/2 (* x (pow y 2))))
(+ y (* x (+ (* -1/2 (pow y 2)) (* 1/4 (* x (pow y 3))))))
(+ y (* x (+ (* -1/2 (pow y 2)) (* 1/4 (* x (pow y 3))))))
(* 1/4 (* (pow x 2) (pow y 3)))
(* (pow x 2) (+ (* -1/2 (/ (pow y 2) x)) (* 1/4 (pow y 3))))
(* (pow x 2) (+ (* -1/2 (/ (pow y 2) x)) (+ (* 1/4 (pow y 3)) (/ y (pow x 2)))))
(* (pow x 2) (+ (* -1/2 (/ (pow y 2) x)) (+ (* 1/4 (pow y 3)) (/ y (pow x 2)))))
(* 1/4 (* (pow x 2) (pow y 3)))
(* (pow x 2) (+ (* -1/2 (/ (pow y 2) x)) (* 1/4 (pow y 3))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ y x)) (* 1/2 (pow y 2))) x)) (* 1/4 (pow y 3))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ y x)) (* 1/2 (pow y 2))) x)) (* 1/4 (pow y 3))))
y
(* y (+ 1 (* -1/2 (* x y))))
(* y (+ 1 (* y (+ (* -1/2 x) (* 1/4 (* (pow x 2) y))))))
(* y (+ 1 (* y (+ (* -1/2 x) (* 1/4 (* (pow x 2) y))))))
(* 1/4 (* (pow x 2) (pow y 3)))
(* (pow y 3) (+ (* -1/2 (/ x y)) (* 1/4 (pow x 2))))
(* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* 1/4 (pow x 2)) (/ 1 (pow y 2)))))
(* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* 1/4 (pow x 2)) (/ 1 (pow y 2)))))
(* 1/4 (* (pow x 2) (pow y 3)))
(* -1 (* (pow y 3) (+ (* -1/4 (pow x 2)) (* 1/2 (/ x y)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 x) (/ 1 y)) y)) (* -1/4 (pow x 2)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 x) (/ 1 y)) y)) (* -1/4 (pow x 2)))))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
-1/2
(- (* 1/4 (* x y)) 1/2)
(- (* 1/4 (* x y)) 1/2)
(- (* 1/4 (* x y)) 1/2)
(* 1/4 (* x y))
(* x (- (* 1/4 y) (* 1/2 (/ 1 x))))
(* x (- (* 1/4 y) (* 1/2 (/ 1 x))))
(* x (- (* 1/4 y) (* 1/2 (/ 1 x))))
(* 1/4 (* x y))
(* -1 (* x (+ (* -1/4 y) (* 1/2 (/ 1 x)))))
(* -1 (* x (+ (* -1/4 y) (* 1/2 (/ 1 x)))))
(* -1 (* x (+ (* -1/4 y) (* 1/2 (/ 1 x)))))
-1/2
(- (* 1/4 (* x y)) 1/2)
(- (* 1/4 (* x y)) 1/2)
(- (* 1/4 (* x y)) 1/2)
(* 1/4 (* x y))
(* y (- (* 1/4 x) (* 1/2 (/ 1 y))))
(* y (- (* 1/4 x) (* 1/2 (/ 1 y))))
(* y (- (* 1/4 x) (* 1/2 (/ 1 y))))
(* 1/4 (* x y))
(* -1 (* y (+ (* -1/4 x) (* 1/2 (/ 1 y)))))
(* -1 (* y (+ (* -1/4 x) (* 1/2 (/ 1 y)))))
(* -1 (* y (+ (* -1/4 x) (* 1/2 (/ 1 y)))))
-1
(- (* -1 (* x y)) 1)
(- (* x (+ (* -1 y) (* -1/4 (* x (pow y 2))))) 1)
(- (* x (+ (* -1 y) (* -1/4 (* x (pow y 2))))) 1)
(* -1/4 (* (pow x 2) (pow y 2)))
(* (pow x 2) (+ (* -1 (/ y x)) (* -1/4 (pow y 2))))
(* (pow x 2) (- (+ (* -1 (/ y x)) (* -1/4 (pow y 2))) (/ 1 (pow x 2))))
(* (pow x 2) (- (+ (* -1 (/ y x)) (* -1/4 (pow y 2))) (/ 1 (pow x 2))))
(* -1/4 (* (pow x 2) (pow y 2)))
(* (pow x 2) (+ (* -1 (/ y x)) (* -1/4 (pow y 2))))
(* (pow x 2) (+ (* -1 (/ (+ y (/ 1 x)) x)) (* -1/4 (pow y 2))))
(* (pow x 2) (+ (* -1 (/ (+ y (/ 1 x)) x)) (* -1/4 (pow y 2))))
-1
(- (* -1 (* x y)) 1)
(- (* y (+ (* -1 x) (* -1/4 (* (pow x 2) y)))) 1)
(- (* y (+ (* -1 x) (* -1/4 (* (pow x 2) y)))) 1)
(* -1/4 (* (pow x 2) (pow y 2)))
(* (pow y 2) (+ (* -1 (/ x y)) (* -1/4 (pow x 2))))
(* (pow y 2) (- (+ (* -1 (/ x y)) (* -1/4 (pow x 2))) (/ 1 (pow y 2))))
(* (pow y 2) (- (+ (* -1 (/ x y)) (* -1/4 (pow x 2))) (/ 1 (pow y 2))))
(* -1/4 (* (pow x 2) (pow y 2)))
(* (pow y 2) (+ (* -1 (/ x y)) (* -1/4 (pow x 2))))
(* (pow y 2) (+ (* -1 (/ (+ x (/ 1 y)) y)) (* -1/4 (pow x 2))))
(* (pow y 2) (+ (* -1 (/ (+ x (/ 1 y)) y)) (* -1/4 (pow x 2))))
(* -1 y)
(+ (* -1 y) (* x (- (pow y 2) (* -1 (- 1 (* 1/2 (pow y 2)))))))
(+ (* -1 y) (* x (- (+ (* x (- (/ 1 y) (+ (* -1/2 (pow y 3)) (+ (/ (* (- 1 (* 1/2 (pow y 2))) (- (pow y 2) (* -1 (- 1 (* 1/2 (pow y 2)))))) y) (pow y 3))))) (pow y 2)) (* -1 (- 1 (* 1/2 (pow y 2)))))))
(+ (* -1 y) (* x (- (+ (* x (- (+ (* x (- (* -1 (/ (+ (* -1 (* y (+ (* -1/4 (pow y 4)) (pow y 4)))) (* 1/4 (pow y 5))) y)) (+ (* 1/8 (pow y 4)) (+ (* 1/4 (* (pow y 2) (- (pow y 2) (* -1 (- 1 (* 1/2 (pow y 2))))))) (/ (* (- 1 (* 1/2 (pow y 2))) (- (/ 1 y) (+ (* -1/2 (pow y 3)) (+ (/ (* (- 1 (* 1/2 (pow y 2))) (- (pow y 2) (* -1 (- 1 (* 1/2 (pow y 2)))))) y) (pow y 3))))) y))))) (/ 1 y)) (+ (* -1/2 (pow y 3)) (+ (/ (* (- 1 (* 1/2 (pow y 2))) (- (pow y 2) (* -1 (- 1 (* 1/2 (pow y 2)))))) y) (pow y 3))))) (pow y 2)) (* -1 (- 1 (* 1/2 (pow y 2)))))))
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
x
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
x
(+ x (* -1 y))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+ x (* y (- (* y (- (* -1/4 (* (pow x 2) y)) (* -1/2 x))) 1)))
(/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (+ x (* 2 (/ 1 x))))
(- (+ (/ 16 (* (pow x 3) (* y (+ x (* 2 (/ 1 x)))))) (/ (pow x 2) (+ x (* 2 (/ 1 x))))) (+ (* -4 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 2) (* y (pow (+ x (* 2 (/ 1 x))) 2))))) (/ 4 (* (pow x 2) (+ x (* 2 (/ 1 x)))))))
(- (+ (* -1 (/ (+ (* -4 (/ (- (* 16 (/ 1 (* (pow x 3) (+ x (* 2 (/ 1 x)))))) (* -4 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 2))))) (* (pow x 2) (+ x (* 2 (/ 1 x)))))) (+ (* 8 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 3) (pow (+ x (* 2 (/ 1 x))) 2)))) (* 48 (/ 1 (* (pow x 4) (+ x (* 2 (/ 1 x)))))))) (pow y 2))) (+ (/ 16 (* (pow x 3) (* y (+ x (* 2 (/ 1 x)))))) (/ (pow x 2) (+ x (* 2 (/ 1 x)))))) (+ (* -4 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 2) (* y (pow (+ x (* 2 (/ 1 x))) 2))))) (/ 4 (* (pow x 2) (+ x (* 2 (/ 1 x)))))))
(- (+ (/ 16 (* (pow x 3) (* y (+ x (* 2 (/ 1 x)))))) (+ (/ 128 (* (pow x 5) (* (pow y 3) (+ x (* 2 (/ 1 x)))))) (/ (pow x 2) (+ x (* 2 (/ 1 x)))))) (+ (* -16 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 4) (* (pow y 3) (pow (+ x (* 2 (/ 1 x))) 2))))) (+ (* -4 (/ (- (* 16 (/ 1 (* (pow x 3) (+ x (* 2 (/ 1 x)))))) (* -4 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 2))))) (* (pow x 2) (* (pow y 2) (+ x (* 2 (/ 1 x))))))) (+ (* -4 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 2) (* y (pow (+ x (* 2 (/ 1 x))) 2))))) (+ (* 4 (/ (+ (* -4 (/ (- (* 16 (/ 1 (* (pow x 3) (+ x (* 2 (/ 1 x)))))) (* -4 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 2))))) (* (pow x 2) (+ x (* 2 (/ 1 x)))))) (+ (* 8 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 3) (pow (+ x (* 2 (/ 1 x))) 2)))) (* 48 (/ 1 (* (pow x 4) (+ x (* 2 (/ 1 x)))))))) (* (pow x 2) (* (pow y 3) (+ x (* 2 (/ 1 x))))))) (+ (* 8 (/ (- (* 16 (/ 1 (* (pow x 3) (+ x (* 2 (/ 1 x)))))) (* -4 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 2))))) (* (pow x 3) (* (pow y 3) (+ x (* 2 (/ 1 x))))))) (+ (* 8 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 3) (* (pow y 2) (pow (+ x (* 2 (/ 1 x))) 2))))) (+ (* 48 (/ 1 (* (pow x 4) (* (pow y 2) (+ x (* 2 (/ 1 x))))))) (/ 4 (* (pow x 2) (+ x (* 2 (/ 1 x)))))))))))))
(/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (+ x (* 2 (/ 1 x))))
(- (+ (* 4 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 2) (* y (pow (+ x (* 2 (/ 1 x))) 2))))) (+ (/ 16 (* (pow x 3) (* y (+ x (* 2 (/ 1 x)))))) (/ (pow x 2) (+ x (* 2 (/ 1 x)))))) (/ 4 (* (pow x 2) (+ x (* 2 (/ 1 x))))))
(- (+ (* -1 (/ (- (+ (* -4 (/ (+ (* 4 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 2)))) (* 16 (/ 1 (* (pow x 3) (+ x (* 2 (/ 1 x))))))) (* (pow x 2) (* y (+ x (* 2 (/ 1 x))))))) (+ (* 8 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 3) (* y (pow (+ x (* 2 (/ 1 x))) 2))))) (/ 48 (* (pow x 4) (* y (+ x (* 2 (/ 1 x)))))))) (+ (* 4 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 2)))) (* 16 (/ 1 (* (pow x 3) (+ x (* 2 (/ 1 x)))))))) y)) (/ (pow x 2) (+ x (* 2 (/ 1 x))))) (/ 4 (* (pow x 2) (+ x (* 2 (/ 1 x))))))
(- (+ (* -1 (/ (- (* -1 (/ (- (+ (* -8 (/ (+ (* 4 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 2)))) (* 16 (/ 1 (* (pow x 3) (+ x (* 2 (/ 1 x))))))) (* (pow x 3) (* y (+ x (* 2 (/ 1 x))))))) (+ (* -4 (/ (+ (* -4 (/ (+ (* 4 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 2)))) (* 16 (/ 1 (* (pow x 3) (+ x (* 2 (/ 1 x))))))) (* (pow x 2) (+ x (* 2 (/ 1 x)))))) (+ (* 8 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 3) (pow (+ x (* 2 (/ 1 x))) 2)))) (* 48 (/ 1 (* (pow x 4) (+ x (* 2 (/ 1 x)))))))) (* (pow x 2) (* y (+ x (* 2 (/ 1 x))))))) (+ (* 16 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 4) (* y (pow (+ x (* 2 (/ 1 x))) 2))))) (/ 128 (* (pow x 5) (* y (+ x (* 2 (/ 1 x))))))))) (+ (* -4 (/ (+ (* 4 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 2)))) (* 16 (/ 1 (* (pow x 3) (+ x (* 2 (/ 1 x))))))) (* (pow x 2) (+ x (* 2 (/ 1 x)))))) (+ (* 8 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 3) (pow (+ x (* 2 (/ 1 x))) 2)))) (* 48 (/ 1 (* (pow x 4) (+ x (* 2 (/ 1 x))))))))) y)) (+ (* 4 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 2)))) (* 16 (/ 1 (* (pow x 3) (+ x (* 2 (/ 1 x)))))))) y)) (/ (pow x 2) (+ x (* 2 (/ 1 x))))) (/ 4 (* (pow x 2) (+ x (* 2 (/ 1 x))))))
(* -1 (pow y 2))
(+ (* -1 (pow y 2)) (* x (pow y 3)))
(+ (* -1 (pow y 2)) (* x (- (* x (- 1 (+ (* -1/4 (pow y 4)) (pow y 4)))) (* -1 (pow y 3)))))
(+ (* -1 (pow y 2)) (* x (- (* x (- (+ 1 (* -1 (* x (+ (* -1 (* y (+ (* -1/4 (pow y 4)) (pow y 4)))) (* 1/4 (pow y 5)))))) (+ (* -1/4 (pow y 4)) (pow y 4)))) (* -1 (pow y 3)))))
(pow x 2)
(* (pow x 2) (- 1 (* 4 (/ 1 (pow x 4)))))
(* (pow x 2) (- (+ 1 (/ 16 (* (pow x 5) y))) (* 4 (/ 1 (pow x 4)))))
(* (pow x 2) (- (+ 1 (* 16 (/ 1 (* (pow x 5) y)))) (+ (* 48 (/ 1 (* (pow x 6) (pow y 2)))) (* 4 (/ 1 (pow x 4))))))
(pow x 2)
(* (pow x 2) (- 1 (* 4 (/ 1 (pow x 4)))))
(* (pow x 2) (- (+ 1 (/ 16 (* (pow x 5) y))) (* 4 (/ 1 (pow x 4)))))
(* (pow x 2) (- (+ 1 (* -1 (/ (- (* 48 (/ 1 (* x (pow y 2)))) (* 16 (/ 1 y))) (pow x 5)))) (* 4 (/ 1 (pow x 4)))))
(pow x 2)
(+ (* -1 (pow y 2)) (pow x 2))
(+ (* (pow y 2) (- (* x y) 1)) (pow x 2))
(+ (* (pow y 2) (- (* y (- (* -1 (* y (+ (* -1/4 (pow x 2)) (pow x 2)))) (* -1 x))) 1)) (pow x 2))
(- (pow x 2) (* 4 (/ 1 (pow x 2))))
(- (+ (* 16 (/ 1 (* (pow x 3) y))) (pow x 2)) (* 4 (/ 1 (pow x 2))))
(- (+ (/ 16 (* (pow x 3) y)) (pow x 2)) (+ (* 4 (/ 1 (pow x 2))) (/ 48 (* (pow x 4) (pow y 2)))))
(- (+ (* 128 (/ 1 (* (pow x 5) (pow y 3)))) (+ (/ 16 (* (pow x 3) y)) (pow x 2))) (+ (* 4 (/ 1 (pow x 2))) (* 48 (/ 1 (* (pow x 4) (pow y 2))))))
(- (pow x 2) (* 4 (/ 1 (pow x 2))))
(- (+ (* 16 (/ 1 (* (pow x 3) y))) (pow x 2)) (* 4 (/ 1 (pow x 2))))
(- (+ (* -1 (/ (- (* 48 (/ 1 (* (pow x 4) y))) (* 16 (/ 1 (pow x 3)))) y)) (pow x 2)) (* 4 (/ 1 (pow x 2))))
(- (+ (* -1 (/ (- (* -1 (/ (- (* 128 (/ 1 (* (pow x 5) y))) (* 48 (/ 1 (pow x 4)))) y)) (* 16 (/ 1 (pow x 3)))) y)) (pow x 2)) (* 4 (/ 1 (pow x 2))))
(* -1 (pow y 2))
(* (pow y 2) (- (* x y) 1))
(* (pow y 2) (- (* y (- (* -1 (* y (+ (* -1/4 (pow x 2)) (pow x 2)))) (* -1 x))) 1))
(* (pow y 2) (- (* y (- (* y (- (* -1 (* y (+ (* -1 (* x (+ (* -1/4 (pow x 2)) (pow x 2)))) (* 1/4 (pow x 3))))) (+ (* -1/4 (pow x 2)) (pow x 2)))) (* -1 x))) 1))
(/ -4 (pow x 2))
(- (* 16 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2))))
(- (/ 16 (* (pow x 3) y)) (+ (* 4 (/ 1 (pow x 2))) (/ 48 (* (pow x 4) (pow y 2)))))
(- (+ (* 128 (/ 1 (* (pow x 5) (pow y 3)))) (/ 16 (* (pow x 3) y))) (+ (* 48 (/ 1 (* (pow x 4) (pow y 2)))) (* 4 (/ 1 (pow x 2)))))
(/ -4 (pow x 2))
(- (* 16 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2))))
(- (* -1 (/ (- (* 48 (/ 1 (* (pow x 4) y))) (* 16 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2))))
(- (* -1 (/ (- (* -1 (/ (- (* 128 (/ 1 (* (pow x 5) y))) (* 48 (/ 1 (pow x 4)))) y)) (* 16 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2))))
(* -1 (pow y 2))
(+ (* -1 (pow y 2)) (* x (pow y 3)))
(+ (* -1 (pow y 2)) (* x (- (* -1 (* x (+ (* -1/4 (pow y 4)) (pow y 4)))) (* -1 (pow y 3)))))
(+ (* -1 (pow y 2)) (* x (- (* x (- (* -1 (* x (+ (* -1 (* y (+ (* -1/4 (pow y 4)) (pow y 4)))) (* 1/4 (pow y 5))))) (+ (* -1/4 (pow y 4)) (pow y 4)))) (* -1 (pow y 3)))))
(/ -4 (pow x 2))
(/ (- (* 16 (/ 1 (* x y))) 4) (pow x 2))
(/ (- (/ 16 (* x y)) (+ 4 (/ 48 (* (pow x 2) (pow y 2))))) (pow x 2))
(/ (- (+ (* 128 (/ 1 (* (pow x 3) (pow y 3)))) (/ 16 (* x y))) (+ 4 (* 48 (/ 1 (* (pow x 2) (pow y 2)))))) (pow x 2))
(/ -4 (pow x 2))
(/ (- (* 16 (/ 1 (* x y))) 4) (pow x 2))
(/ (- (* -1 (/ (- (* 48 (/ 1 (* x (pow y 2)))) (* 16 (/ 1 y))) x)) 4) (pow x 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (* 128 (/ 1 (* x (pow y 3)))) (* 48 (/ 1 (pow y 2)))) x)) (* 16 (/ 1 y))) x)) 4) (pow x 2))
(* -1/2 (pow y 2))
(* (pow y 2) (- (* 1/4 (* x y)) 1/2))
(* (pow y 2) (- (* 1/4 (* x y)) 1/2))
(* (pow y 2) (- (* 1/4 (* x y)) 1/2))
(* 1/4 (* x (pow y 3)))
(* (pow y 3) (- (* 1/4 x) (* 1/2 (/ 1 y))))
(* (pow y 3) (- (* 1/4 x) (* 1/2 (/ 1 y))))
(* (pow y 3) (- (* 1/4 x) (* 1/2 (/ 1 y))))
(* 1/4 (* x (pow y 3)))
(* -1 (* (pow y 3) (+ (* -1/4 x) (* 1/2 (/ 1 y)))))
(* -1 (* (pow y 3) (+ (* -1/4 x) (* 1/2 (/ 1 y)))))
(* -1 (* (pow y 3) (+ (* -1/4 x) (* 1/2 (/ 1 y)))))
(* -1/2 (pow y 2))
(+ (* -1/2 (pow y 2)) (* 1/4 (* x (pow y 3))))
(+ (* -1/2 (pow y 2)) (* 1/4 (* x (pow y 3))))
(+ (* -1/2 (pow y 2)) (* 1/4 (* x (pow y 3))))
(* 1/4 (* x (pow y 3)))
(* x (+ (* -1/2 (/ (pow y 2) x)) (* 1/4 (pow y 3))))
(* x (+ (* -1/2 (/ (pow y 2) x)) (* 1/4 (pow y 3))))
(* x (+ (* -1/2 (/ (pow y 2) x)) (* 1/4 (pow y 3))))
(* 1/4 (* x (pow y 3)))
(* -1 (* x (+ (* -1/4 (pow y 3)) (* 1/2 (/ (pow y 2) x)))))
(* -1 (* x (+ (* -1/4 (pow y 3)) (* 1/2 (/ (pow y 2) x)))))
(* -1 (* x (+ (* -1/4 (pow y 3)) (* 1/2 (/ (pow y 2) x)))))
(* 1/4 y)
(* 1/4 y)
(* 1/4 y)
(* 1/4 y)
(* 1/4 y)
(* 1/4 y)
(* 1/4 y)
(* 1/4 y)
(* 1/4 y)
(* 1/4 y)
(* 1/4 y)
(* 1/4 y)
y
(* y (+ 1 (* -1/2 (* x y))))
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))
(/ 2 x)
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(/ 2 x)
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))
y
(+ y (* -1/2 (* x (pow y 2))))
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))
(/ 2 x)
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
(/ 2 x)
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))

Outputs
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(fma.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) x)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(fma.f64 x (fma.f64 (.f64 y y) (fma.f64 y (.f64 x #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) y))
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
(-.f64 (fma.f64 x (fma.f64 (.f64 y y) (fma.f64 y (.f64 x #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (*.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 4 binary64)))))) x) y)
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 (/.f64 #s(literal 4 binary64) (.f64 y (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
(.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (.f64 y (.f64 x (.f64 x x))))) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (/.f64 #s(literal 8 binary64) (.f64 y (.f64 y (.f64 x (.f64 x (.f64 x x)))))))))
x
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) x) x)
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) (.f64 y (.f64 x (*.f64 x x)))))) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
(fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal -8 binary64) (.f64 y (.f64 y x)))) (.f64 x (*.f64 x x)))) (-.f64 #s(literal 0 binary64) x) x)
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* y (- (* 1/2 (* x y)) 1)))
(fma.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) x)
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(fma.f64 y (fma.f64 y (fma.f64 y (.f64 x (.f64 x #s(literal -1/4 binary64))) (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) x)
(- x (* 2 (/ 1 x)))
(+.f64 x (/.f64 #s(literal -2 binary64) x))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(+.f64 x (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(+.f64 x (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 y x)) #s(literal -2 binary64)) x) (/.f64 #s(literal 8 binary64) (.f64 y (.f64 y (.f64 x (*.f64 x x)))))))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(+.f64 (+.f64 x (/.f64 #s(literal 16 binary64) (.f64 y (.f64 y (.f64 y (.f64 x (.f64 x (.f64 x x)))))))) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 y x)) #s(literal -2 binary64)) x) (/.f64 #s(literal 8 binary64) (.f64 y (.f64 y (.f64 x (*.f64 x x)))))))
(- x (* 2 (/ 1 x)))
(+.f64 x (/.f64 #s(literal -2 binary64) x))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(+.f64 x (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(+.f64 (-.f64 x (+.f64 (/.f64 #s(literal 8 binary64) (.f64 y (.f64 y (.f64 x (.f64 x x))))) (/.f64 #s(literal -4 binary64) (.f64 y (.f64 x x))))) (/.f64 #s(literal -2 binary64) x))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(+.f64 (-.f64 x (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 16 binary64) (.f64 y (.f64 y (.f64 x (.f64 x (.f64 x x)))))) (/.f64 #s(literal -8 binary64) (.f64 y (.f64 x (.f64 x x))))) (/.f64 #s(literal -4 binary64) (*.f64 x x))) y)) (/.f64 #s(literal -2 binary64) x))
y
(* y (+ 1 (* -1/2 (* x y))))
(.f64 y (fma.f64 y (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))
(fma.f64 x (.f64 y (.f64 y (fma.f64 y (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))) y)
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))
(.f64 y (fma.f64 y (fma.f64 y (fma.f64 (.f64 y (.f64 x (.f64 x x))) #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (*.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 y x))) x)
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(+.f64 (/.f64 #s(literal 8 binary64) (.f64 y (.f64 y (.f64 x (.f64 x x))))) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 y x))) x))
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(-.f64 (+.f64 (/.f64 #s(literal 8 binary64) (.f64 y (.f64 y (.f64 x (.f64 x x))))) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (.f64 y x))) x)) (/.f64 #s(literal 16 binary64) (.f64 y (.f64 y (.f64 y (.f64 x (.f64 x (*.f64 x x))))))))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 y x))) x)
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(-.f64 (/.f64 #s(literal 2 binary64) x) (-.f64 (/.f64 #s(literal 4 binary64) (.f64 y (.f64 x x))) (/.f64 #s(literal 8 binary64) (.f64 y (.f64 y (.f64 x (.f64 x x)))))))
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))
(-.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal 8 binary64) (.f64 y (.f64 x (.f64 x x)))) (/.f64 #s(literal 16 binary64) (.f64 y (.f64 y (.f64 x (.f64 x (*.f64 x x)))))))) y))
y
(+ y (* -1/2 (* x (pow y 2))))
(.f64 y (fma.f64 y (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))
(fma.f64 x (.f64 y (.f64 y (fma.f64 y (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))) y)
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))
(fma.f64 x (fma.f64 y (.f64 y #s(literal -1/2 binary64)) (.f64 x (fma.f64 (.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (.f64 (.f64 y (.f64 y y)) #s(literal 1/4 binary64))))) y)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 y x))) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (.f64 y (.f64 y (.f64 x x)))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (.f64 y x)))) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (-.f64 (/.f64 #s(literal 8 binary64) (.f64 y (.f64 y (.f64 x x)))) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 y x)) (/.f64 #s(literal 16 binary64) (.f64 y (.f64 y (.f64 y (.f64 x (*.f64 x x))))))))) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 y x))) x)
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 8 binary64) (.f64 y (.f64 y (.f64 x x)))) (/.f64 #s(literal -4 binary64) (.f64 y x)))) #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 16 binary64) (.f64 x (.f64 x (.f64 y (.f64 y y))))) (/.f64 #s(literal -8 binary64) (.f64 y (.f64 y x)))) (/.f64 #s(literal -4 binary64) y)) (-.f64 #s(literal 0 binary64) x)) #s(literal -2 binary64)) x))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* x y)))
(fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* 1/2 (* x y)))
(fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* 1/2 (* x y)))
(fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/2 (* x y))
(.f64 y (.f64 x #s(literal 1/2 binary64)))
(* y (+ (* 1/2 x) (/ 1 y)))
(fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
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(* (pow y 2) (- (* y (- (* -1 (* y (+ (* -1/4 (pow x 2)) (pow x 2)))) (* -1 x))) 1))
(.f64 (.f64 y y) (fma.f64 y (fma.f64 y (.f64 #s(literal -3/4 binary64) (.f64 x x)) x) #s(literal -1 binary64)))
(* (pow y 2) (- (* y (- (* y (- (* -1 (* y (+ (* -1 (* x (+ (* -1/4 (pow x 2)) (pow x 2)))) (* 1/4 (pow x 3))))) (+ (* -1/4 (pow x 2)) (pow x 2)))) (* -1 x))) 1))
(.f64 (.f64 y y) (fma.f64 y (fma.f64 y (fma.f64 (-.f64 #s(literal 0 binary64) y) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 x (.f64 #s(literal -3/4 binary64) (.f64 x x)))) (.f64 #s(literal -3/4 binary64) (*.f64 x x))) x) #s(literal -1 binary64)))
(/ -4 (pow x 2))
(/.f64 #s(literal -4 binary64) (*.f64 x x))
(- (* 16 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2))))
(/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 16 binary64) (.f64 y x))) (.f64 x x))
(- (/ 16 (* (pow x 3) y)) (+ (* 4 (/ 1 (pow x 2))) (/ 48 (* (pow x 4) (pow y 2)))))
(-.f64 (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 16 binary64) (.f64 y x))) (.f64 x x)) (/.f64 #s(literal 48 binary64) (.f64 y (.f64 y (.f64 x (.f64 x (*.f64 x x)))))))
(- (+ (* 128 (/ 1 (* (pow x 5) (pow y 3)))) (/ 16 (* (pow x 3) y))) (+ (* 48 (/ 1 (* (pow x 4) (pow y 2)))) (* 4 (/ 1 (pow x 2)))))
(+.f64 (/.f64 #s(literal 128 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (-.f64 (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 16 binary64) (.f64 y x))) (.f64 x x)) (/.f64 #s(literal 48 binary64) (.f64 y (.f64 y (.f64 x (.f64 x (.f64 x x))))))))
(/ -4 (pow x 2))
(/.f64 #s(literal -4 binary64) (*.f64 x x))
(- (* 16 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2))))
(/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 16 binary64) (.f64 y x))) (.f64 x x))
(- (* -1 (/ (- (* 48 (/ 1 (* (pow x 4) y))) (* 16 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2))))
(fma.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal 48 binary64) (.f64 y (.f64 y (.f64 x (.f64 x (.f64 x x)))))) (/.f64 #s(literal 16 binary64) (.f64 y (.f64 x (.f64 x x))))) (/.f64 #s(literal -4 binary64) (*.f64 x x)))
(- (* -1 (/ (- (* -1 (/ (- (* 128 (/ 1 (* (pow x 5) y))) (* 48 (/ 1 (pow x 4)))) y)) (* 16 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2))))
(fma.f64 #s(literal -1 binary64) (-.f64 (/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 128 binary64) (.f64 y (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (/.f64 #s(literal -48 binary64) (.f64 x (.f64 x (.f64 x x)))))) (.f64 y y)) (/.f64 #s(literal 16 binary64) (.f64 y (.f64 x (.f64 x x))))) (/.f64 #s(literal -4 binary64) (*.f64 x x)))
(* -1 (pow y 2))
(-.f64 #s(literal 0 binary64) (*.f64 y y))
(+ (* -1 (pow y 2)) (* x (pow y 3)))
(.f64 (.f64 y y) (fma.f64 y x #s(literal -1 binary64)))
(+ (* -1 (pow y 2)) (* x (- (* -1 (* x (+ (* -1/4 (pow y 4)) (pow y 4)))) (* -1 (pow y 3)))))
(fma.f64 y (-.f64 #s(literal 0 binary64) y) (.f64 x (fma.f64 x (.f64 #s(literal -3/4 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 y (.f64 y y)))))
(+ (* -1 (pow y 2)) (* x (- (* x (- (* -1 (* x (+ (* -1 (* y (+ (* -1/4 (pow y 4)) (pow y 4)))) (* 1/4 (pow y 5))))) (+ (* -1/4 (pow y 4)) (pow y 4)))) (* -1 (pow y 3)))))
(fma.f64 x (fma.f64 x (fma.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 5 binary64)) (-.f64 #s(literal 0 binary64) (.f64 #s(literal 3/4 binary64) (pow.f64 y #s(literal 5 binary64))))) (.f64 #s(literal -3/4 binary64) (pow.f64 y #s(literal 4 binary64)))) (.f64 y (.f64 y y))) (-.f64 #s(literal 0 binary64) (*.f64 y y)))
(/ -4 (pow x 2))
(/.f64 #s(literal -4 binary64) (*.f64 x x))
(/ (- (* 16 (/ 1 (* x y))) 4) (pow x 2))
(/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 16 binary64) (.f64 y x))) (.f64 x x))
(/ (- (/ 16 (* x y)) (+ 4 (/ 48 (* (pow x 2) (pow y 2))))) (pow x 2))
(/.f64 (-.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 16 binary64) (.f64 y x))) (/.f64 #s(literal 48 binary64) (.f64 y (.f64 y (.f64 x x))))) (*.f64 x x))
(/ (- (+ (* 128 (/ 1 (* (pow x 3) (pow y 3)))) (/ 16 (* x y))) (+ 4 (* 48 (/ 1 (* (pow x 2) (pow y 2)))))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 128 binary64) (.f64 y (.f64 y (.f64 y (.f64 x (.f64 x x)))))) (-.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 16 binary64) (.f64 y x))) (/.f64 #s(literal 48 binary64) (.f64 y (.f64 y (.f64 x x)))))) (.f64 x x))
(/ -4 (pow x 2))
(/.f64 #s(literal -4 binary64) (*.f64 x x))
(/ (- (* 16 (/ 1 (* x y))) 4) (pow x 2))
(/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 16 binary64) (.f64 y x))) (.f64 x x))
(/ (- (* -1 (/ (- (* 48 (/ 1 (* x (pow y 2)))) (* 16 (/ 1 y))) x)) 4) (pow x 2))
(/.f64 (fma.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal 48 binary64) (.f64 y (.f64 y (.f64 x x)))) (/.f64 #s(literal 16 binary64) (.f64 y x))) #s(literal -4 binary64)) (*.f64 x x))
(/ (- (* -1 (/ (- (* -1 (/ (- (* 128 (/ 1 (* x (pow y 3)))) (* 48 (/ 1 (pow y 2)))) x)) (* 16 (/ 1 y))) x)) 4) (pow x 2))
(/.f64 (+.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal 128 binary64) (.f64 x (.f64 x (.f64 y (.f64 y y))))) (/.f64 #s(literal 48 binary64) (.f64 y (.f64 y x)))) (/.f64 #s(literal -16 binary64) y)) (-.f64 #s(literal 0 binary64) x))) (*.f64 x x))
(* -1/2 (pow y 2))
(.f64 y (.f64 y #s(literal -1/2 binary64)))
(* (pow y 2) (- (* 1/4 (* x y)) 1/2))
(.f64 y (.f64 y (fma.f64 y (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))
(* (pow y 2) (- (* 1/4 (* x y)) 1/2))
(.f64 y (.f64 y (fma.f64 y (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))
(* (pow y 2) (- (* 1/4 (* x y)) 1/2))
(.f64 y (.f64 y (fma.f64 y (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))
(* 1/4 (* x (pow y 3)))
(.f64 x (.f64 (.f64 y (.f64 y y)) #s(literal 1/4 binary64)))
(* (pow y 3) (- (* 1/4 x) (* 1/2 (/ 1 y))))
(.f64 (.f64 y y) (*.f64 y (fma.f64 x #s(literal 1/4 binary64) (/.f64 #s(literal -1/2 binary64) y))))
(* (pow y 3) (- (* 1/4 x) (* 1/2 (/ 1 y))))
(.f64 (.f64 y y) (*.f64 y (fma.f64 x #s(literal 1/4 binary64) (/.f64 #s(literal -1/2 binary64) y))))
(* (pow y 3) (- (* 1/4 x) (* 1/2 (/ 1 y))))
(.f64 (.f64 y y) (*.f64 y (fma.f64 x #s(literal 1/4 binary64) (/.f64 #s(literal -1/2 binary64) y))))
(* 1/4 (* x (pow y 3)))
(.f64 x (.f64 (.f64 y (.f64 y y)) #s(literal 1/4 binary64)))
(* -1 (* (pow y 3) (+ (* -1/4 x) (* 1/2 (/ 1 y)))))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) (fma.f64 y (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
(* -1 (* (pow y 3) (+ (* -1/4 x) (* 1/2 (/ 1 y)))))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) (fma.f64 y (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
(* -1 (* (pow y 3) (+ (* -1/4 x) (* 1/2 (/ 1 y)))))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) (fma.f64 y (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
(* -1/2 (pow y 2))
(.f64 y (.f64 y #s(literal -1/2 binary64)))
(+ (* -1/2 (pow y 2)) (* 1/4 (* x (pow y 3))))
(.f64 y (.f64 y (fma.f64 y (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))
(+ (* -1/2 (pow y 2)) (* 1/4 (* x (pow y 3))))
(.f64 y (.f64 y (fma.f64 y (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))
(+ (* -1/2 (pow y 2)) (* 1/4 (* x (pow y 3))))
(.f64 y (.f64 y (fma.f64 y (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))
(* 1/4 (* x (pow y 3)))
(.f64 x (.f64 (.f64 y (.f64 y y)) #s(literal 1/4 binary64)))
(* x (+ (* -1/2 (/ (pow y 2) x)) (* 1/4 (pow y 3))))
(.f64 x (fma.f64 y (.f64 (.f64 y y) #s(literal 1/4 binary64)) (/.f64 (.f64 y (*.f64 y #s(literal -1/2 binary64))) x)))
(* x (+ (* -1/2 (/ (pow y 2) x)) (* 1/4 (pow y 3))))
(.f64 x (fma.f64 y (.f64 (.f64 y y) #s(literal 1/4 binary64)) (/.f64 (.f64 y (*.f64 y #s(literal -1/2 binary64))) x)))
(* x (+ (* -1/2 (/ (pow y 2) x)) (* 1/4 (pow y 3))))
(.f64 x (fma.f64 y (.f64 (.f64 y y) #s(literal 1/4 binary64)) (/.f64 (.f64 y (*.f64 y #s(literal -1/2 binary64))) x)))
(* 1/4 (* x (pow y 3)))
(.f64 x (.f64 (.f64 y (.f64 y y)) #s(literal 1/4 binary64)))
(* -1 (* x (+ (* -1/4 (pow y 3)) (* 1/2 (/ (pow y 2) x)))))
(.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 y (.f64 (.f64 y y) #s(literal -1/4 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 y y)) x)))
(* -1 (* x (+ (* -1/4 (pow y 3)) (* 1/2 (/ (pow y 2) x)))))
(.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 y (.f64 (.f64 y y) #s(literal -1/4 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 y y)) x)))
(* -1 (* x (+ (* -1/4 (pow y 3)) (* 1/2 (/ (pow y 2) x)))))
(.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 y (.f64 (.f64 y y) #s(literal -1/4 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 y y)) x)))
(* 1/4 y)
(*.f64 y #s(literal 1/4 binary64))
(* 1/4 y)
(*.f64 y #s(literal 1/4 binary64))
(* 1/4 y)
(*.f64 y #s(literal 1/4 binary64))
(* 1/4 y)
(*.f64 y #s(literal 1/4 binary64))
(* 1/4 y)
(*.f64 y #s(literal 1/4 binary64))
(* 1/4 y)
(*.f64 y #s(literal 1/4 binary64))
(* 1/4 y)
(*.f64 y #s(literal 1/4 binary64))
(* 1/4 y)
(*.f64 y #s(literal 1/4 binary64))
(* 1/4 y)
(*.f64 y #s(literal 1/4 binary64))
(* 1/4 y)
(*.f64 y #s(literal 1/4 binary64))
(* 1/4 y)
(*.f64 y #s(literal 1/4 binary64))
(* 1/4 y)
(*.f64 y #s(literal 1/4 binary64))
y
(* y (+ 1 (* -1/2 (* x y))))
(.f64 y (fma.f64 y (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))
(fma.f64 x (.f64 y (.f64 y (fma.f64 y (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))) y)
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))
(.f64 y (fma.f64 y (fma.f64 y (fma.f64 (.f64 y (.f64 x (.f64 x x))) #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (*.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 y x))) x)
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(+.f64 (/.f64 #s(literal 8 binary64) (.f64 y (.f64 y (.f64 x (.f64 x x))))) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 y x))) x))
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(-.f64 (+.f64 (/.f64 #s(literal 8 binary64) (.f64 y (.f64 y (.f64 x (.f64 x x))))) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (.f64 y x))) x)) (/.f64 #s(literal 16 binary64) (.f64 y (.f64 y (.f64 y (.f64 x (.f64 x (*.f64 x x))))))))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 y x))) x)
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(-.f64 (/.f64 #s(literal 2 binary64) x) (-.f64 (/.f64 #s(literal 4 binary64) (.f64 y (.f64 x x))) (/.f64 #s(literal 8 binary64) (.f64 y (.f64 y (.f64 x (.f64 x x)))))))
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))
(-.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal 8 binary64) (.f64 y (.f64 x (.f64 x x)))) (/.f64 #s(literal 16 binary64) (.f64 y (.f64 y (.f64 x (.f64 x (*.f64 x x)))))))) y))
y
(+ y (* -1/2 (* x (pow y 2))))
(.f64 y (fma.f64 y (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))
(fma.f64 x (.f64 y (.f64 y (fma.f64 y (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))) y)
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))
(fma.f64 x (fma.f64 y (.f64 y #s(literal -1/2 binary64)) (.f64 x (fma.f64 (.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (.f64 (.f64 y (.f64 y y)) #s(literal 1/4 binary64))))) y)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 y x))) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (.f64 y (.f64 y (.f64 x x)))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (.f64 y x)))) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (-.f64 (/.f64 #s(literal 8 binary64) (.f64 y (.f64 y (.f64 x x)))) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 y x)) (/.f64 #s(literal 16 binary64) (.f64 y (.f64 y (.f64 y (.f64 x (*.f64 x x))))))))) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 y x))) x)
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 8 binary64) (.f64 y (.f64 y (.f64 x x)))) (/.f64 #s(literal -4 binary64) (.f64 y x)))) #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 16 binary64) (.f64 x (.f64 x (.f64 y (.f64 y y))))) (/.f64 #s(literal -8 binary64) (.f64 y (.f64 y x)))) (/.f64 #s(literal -4 binary64) y)) (-.f64 #s(literal 0 binary64) x)) #s(literal -2 binary64)) x))

eval549.0ms (1.8%)

Memory: 26.9MiB live, 365.4MiB allocated
Compiler: Compiled 63 772 to 3 773 computations (94.1% saved)

prune240.0ms (0.8%)

Memory

-28.0MiB live, 304.9MiB allocated

Pruning

16 alts after pruning (12 fresh and 4 done)

	Pruned	Kept	Total
New	1 397	5	1 402
Fresh	3	7	10
Picked	1	4	5
Done	0	0	0
Total	1 401	16	1 417

Accuracy

100.0%

Counts

1 417 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.5%	(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y (fma.f64 x (.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y (fma.f64 x (.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (/.f64 (.f64 y y) (.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (.f64 y #s(literal -1/2 binary64)) #s(literal -1 binary64))))))
▶	99.9%	(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))) y x)
✓	59.8%	(fma.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) x)
	72.8%	(fma.f64 x (/.f64 x (+.f64 x (/.f64 y (fma.f64 x (.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (neg.f64 (/.f64 (.f64 y y) (.f64 (+.f64 x (/.f64 y (fma.f64 x (.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))))))
	61.0%	(fma.f64 x (/.f64 #s(literal -2 binary64) (*.f64 x x)) x)
	53.7%	(/.f64 (fma.f64 x x (/.f64 (.f64 y y) (.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64))))) (+.f64 x (/.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
✓	53.1%	(-.f64 x (fma.f64 x (.f64 (.f64 y y) (fma.f64 x (*.f64 y #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) y))
▶	58.1%	(-.f64 x (fma.f64 x (.f64 (.f64 y y) #s(literal -1/2 binary64)) y))
✓	99.9%	(-.f64 x (/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64))))
	63.4%	(-.f64 x (/.f64 #s(literal 2 binary64) x))
▶	99.8%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y)))
▶	72.2%	(-.f64 x y)
	53.3%	(.f64 (fma.f64 (/.f64 (/.f64 (.f64 y y) (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 x y) (.f64 x y)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64)) (fma.f64 x (.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
	52.4%	(.f64 (fma.f64 (/.f64 (/.f64 y (fma.f64 x (.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 x y) (.f64 x y)) #s(literal -1 binary64))) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y (fma.f64 x (.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
▶	53.5%	(.f64 (fma.f64 x x (/.f64 (.f64 y y) (fma.f64 y (-.f64 (.f64 #s(literal -1/4 binary64) (.f64 y (.f64 x x))) x) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y (fma.f64 x (.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
✓	61.2%	x

Compiler

Compiled 677 to 337 computations (50.2% saved)

simplify278.0ms (0.9%)

Memory

-11.8MiB live, 503.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (.f64 y y) (fma.f64 y (-.f64 (.f64 #s(literal -1/4 binary64) (.f64 y (.f64 x x))) x) #s(literal -1 binary64)))
✓	cost-diff	0	(fma.f64 x x (/.f64 (.f64 y y) (fma.f64 y (-.f64 (.f64 #s(literal -1/4 binary64) (.f64 y (.f64 x x))) x) #s(literal -1 binary64))))
✓	cost-diff	192	(-.f64 (.f64 #s(literal -1/4 binary64) (.f64 y (*.f64 x x))) x)
✓	cost-diff	320	(.f64 (fma.f64 x x (/.f64 (.f64 y y) (fma.f64 y (-.f64 (.f64 #s(literal -1/4 binary64) (.f64 y (.f64 x x))) x) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y (fma.f64 x (.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
✓	cost-diff	0	(fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y)))
✓	cost-diff	320	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y))
✓	cost-diff	384	(/.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y)
✓	cost-diff	-64	(*.f64 y y)
✓	cost-diff	-64	(.f64 (.f64 y y) #s(literal -1/2 binary64))
✓	cost-diff	0	(fma.f64 x (.f64 (.f64 y y) #s(literal -1/2 binary64)) y)
✓	cost-diff	192	(-.f64 x (fma.f64 x (.f64 (.f64 y y) #s(literal -1/2 binary64)) y))
✓	cost-diff	0	(-.f64 x y)
✓	cost-diff	-64	(*.f64 y #s(literal 1/2 binary64))
✓	cost-diff	0	(fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))
✓	cost-diff	192	(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))) y x)

Rules

6 826×	`accelerator-lowering-fma.f32`
6 826×	`accelerator-lowering-fma.f64`
2 886×	`-lowering-.f32`
2 886×	`-lowering-.f64`
1 312×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	284
1	79	280
2	174	274
3	420	274
4	932	274
5	1536	274
6	2708	274
7	4763	272
8	5883	272
9	7093	272
0	8145	246

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (* (/ -1 (+ (* x (* y 1/2)) 1)) y) x)
(/ -1 (+ (* x (* y 1/2)) 1))
-1
(+ (* x (* y 1/2)) 1)
x
(* y 1/2)
y
1/2
1
(- x y)
x
y
(- x (+ (* x (* (* y y) -1/2)) y))
x
(+ (* x (* (* y y) -1/2)) y)
(* (* y y) -1/2)
(* y y)
y
-1/2
(- x (/ 1 (/ (+ (* x (* y 1/2)) 1) y)))
x
(/ 1 (/ (+ (* x (* y 1/2)) 1) y))
1
(/ (+ (* x (* y 1/2)) 1) y)
(+ (* x (* y 1/2)) 1)
(* y 1/2)
y
1/2
(* (+ (* x x) (/ (* y y) (+ (* y (- (* -1/4 (* y (* x x))) x)) -1))) (/ 1 (+ x (/ y (+ (* x (* y 1/2)) 1)))))
(+ (* x x) (/ (* y y) (+ (* y (- (* -1/4 (* y (* x x))) x)) -1)))
x
(/ (* y y) (+ (* y (- (* -1/4 (* y (* x x))) x)) -1))
(* y y)
y
(+ (* y (- (* -1/4 (* y (* x x))) x)) -1)
(- (* -1/4 (* y (* x x))) x)
(* -1/4 (* y (* x x)))
-1/4
(* y (* x x))
(* x x)
-1
(/ 1 (+ x (/ y (+ (* x (* y 1/2)) 1))))
1
(+ x (/ y (+ (* x (* y 1/2)) 1)))
(/ y (+ (* x (* y 1/2)) 1))
(+ (* x (* y 1/2)) 1)
(* y 1/2)
1/2

Outputs
(+ (* (/ -1 (+ (* x (* y 1/2)) 1)) y) x)
(+.f64 x (/.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal -1 binary64))))
(/ -1 (+ (* x (* y 1/2)) 1))
(/.f64 #s(literal -1 binary64) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)))
-1
#s(literal -1 binary64)
(+ (* x (* y 1/2)) 1)
(fma.f64 y (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
x
(* y 1/2)
(fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64))
y
1/2
#s(literal 1/2 binary64)
1
#s(literal 1 binary64)
(- x y)
(-.f64 x y)
x
y
(- x (+ (* x (* (* y y) -1/2)) y))
(fma.f64 y (fma.f64 x (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal -1 binary64)) x)
x
(+ (* x (* (* y y) -1/2)) y)
(fma.f64 y (fma.f64 x (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(* (* y y) -1/2)
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* y y)
(fma.f64 y y #s(literal 0 binary64))
y
-1/2
#s(literal -1/2 binary64)
(- x (/ 1 (/ (+ (* x (* y 1/2)) 1) y)))
(+.f64 x (/.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal -1 binary64))))
x
(/ 1 (/ (+ (* x (* y 1/2)) 1) y))
(/.f64 y (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(/ (+ (* x (* y 1/2)) 1) y)
(fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
(+ (* x (* y 1/2)) 1)
(fma.f64 y (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(* y 1/2)
(fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64))
y
1/2
#s(literal 1/2 binary64)
(* (+ (* x x) (/ (* y y) (+ (* y (- (* -1/4 (* y (* x x))) x)) -1))) (/ 1 (+ x (/ y (+ (* x (* y 1/2)) 1)))))
(/.f64 (fma.f64 x x (/.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 x (fma.f64 y (fma.f64 #s(literal -1/4 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64)))) (+.f64 x (/.f64 y (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)))))
(+ (* x x) (/ (* y y) (+ (* y (- (* -1/4 (* y (* x x))) x)) -1)))
(fma.f64 x x (/.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 x (fma.f64 y (fma.f64 #s(literal -1/4 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64))))
x
(/ (* y y) (+ (* y (- (* -1/4 (* y (* x x))) x)) -1))
(/.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 x (fma.f64 y (fma.f64 #s(literal -1/4 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64)))
(* y y)
(fma.f64 y y #s(literal 0 binary64))
y
(+ (* y (- (* -1/4 (* y (* x x))) x)) -1)
(fma.f64 x (fma.f64 y (fma.f64 #s(literal -1/4 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64))
(- (* -1/4 (* y (* x x))) x)
(fma.f64 x (fma.f64 #s(literal -1/4 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))
(* -1/4 (* y (* x x)))
(fma.f64 x (fma.f64 #s(literal -1/4 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
-1/4
#s(literal -1/4 binary64)
(* y (* x x))
(fma.f64 x (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x x)
(fma.f64 x x #s(literal 0 binary64))
-1
#s(literal -1 binary64)
(/ 1 (+ x (/ y (+ (* x (* y 1/2)) 1))))
(/.f64 #s(literal -1 binary64) (-.f64 (/.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal -1 binary64))) x))
1
#s(literal 1 binary64)
(+ x (/ y (+ (* x (* y 1/2)) 1)))
(+.f64 x (/.f64 y (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))))
(/ y (+ (* x (* y 1/2)) 1))
(/.f64 y (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)))
(+ (* x (* y 1/2)) 1)
(fma.f64 y (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(* y 1/2)
(fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64))
1/2
#s(literal 1/2 binary64)

localize209.0ms (0.7%)

Memory

28.2MiB live, 303.9MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	92.2%	(.f64 y (.f64 x x))
✓	accuracy	85.3%	(/.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))
✓	accuracy	76.1%	(/.f64 (.f64 y y) (fma.f64 y (-.f64 (.f64 #s(literal -1/4 binary64) (.f64 y (.f64 x x))) x) #s(literal -1 binary64)))
✓	accuracy	68.1%	(.f64 (fma.f64 x x (/.f64 (.f64 y y) (fma.f64 y (-.f64 (.f64 #s(literal -1/4 binary64) (.f64 y (.f64 x x))) x) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y (fma.f64 x (.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
✓	accuracy	100.0%	(*.f64 y #s(literal 1/2 binary64))
✓	accuracy	100.0%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y)))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y))
✓	accuracy	85.3%	(/.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y)
✓	accuracy	100.0%	(-.f64 x (fma.f64 x (.f64 (.f64 y y) #s(literal -1/2 binary64)) y))
✓	accuracy	100.0%	(.f64 (.f64 y y) #s(literal -1/2 binary64))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	94.2%	(fma.f64 x (.f64 (.f64 y y) #s(literal -1/2 binary64)) y)
✓	accuracy	100.0%	(-.f64 x y)
✓	accuracy	100.0%	(fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 y #s(literal 1/2 binary64))
✓	accuracy	99.9%	(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))) y x)
✓	accuracy	99.1%	(/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))

Samples

61.0ms

256×

valid

Compiler

Compiled 263 to 36 computations (86.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-mult: 17.0ms (43.8% of total)

ival-div: 10.0ms (25.8% of total)

ival-add: 7.0ms (18.1% of total)

ival-sub: 5.0ms (12.9% of total)

exact: 1.0ms (2.6% of total)

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

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

series22.0ms (0.1%)

Memory

5.0MiB live, 45.4MiB allocated

Counts

18 → 396

Calls

Call 1

Inputs
#<alt (+ (* (/ -1 (+ (* x (* y 1/2)) 1)) y) x)>
#<alt (/ -1 (+ (* x (* y 1/2)) 1))>
#<alt (+ (* x (* y 1/2)) 1)>
#<alt (* y 1/2)>
#<alt (- x y)>
#<alt (- x (+ (* x (* (* y y) -1/2)) y))>
#<alt (+ (* x (* (* y y) -1/2)) y)>
#<alt (* (* y y) -1/2)>
#<alt (* y y)>
#<alt (/ (+ (* x (* y 1/2)) 1) y)>
#<alt (/ 1 (/ (+ (* x (* y 1/2)) 1) y))>
#<alt (- x (/ 1 (/ (+ (* x (* y 1/2)) 1) y)))>
#<alt (* (+ (* x x) (/ (* y y) (+ (* y (- (* -1/4 (* y (* x x))) x)) -1))) (/ 1 (+ x (/ y (+ (* x (* y 1/2)) 1)))))>
#<alt (- (* -1/4 (* y (* x x))) x)>
#<alt (+ (* x x) (/ (* y y) (+ (* y (- (* -1/4 (* y (* x x))) x)) -1)))>
#<alt (/ (* y y) (+ (* y (- (* -1/4 (* y (* x x))) x)) -1))>
#<alt (/ y (+ (* x (* y 1/2)) 1))>
#<alt (* y (* x x))>

Outputs
#<alt (* -1 y)>
#<alt (+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2)))))>
#<alt (+ (* -1 y) (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))))>
#<alt (+ (* -1 y) (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))))>
#<alt x>
#<alt (* x (- 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))>
#<alt x>
#<alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))>
#<alt (* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* y (- (* 1/2 (* x y)) 1)))>
#<alt (+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))>
#<alt (- x (* 2 (/ 1 x)))>
#<alt (- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))>
#<alt (- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))>
#<alt (- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))>
#<alt (- x (* 2 (/ 1 x)))>
#<alt (- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))>
#<alt (- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))>
#<alt (- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))>
#<alt -1>
#<alt (- (* 1/2 (* x y)) 1)>
#<alt (- (* x (- (* -1/4 (* x (pow y 2))) (* -1/2 y))) 1)>
#<alt (- (* x (- (* x (- (* 1/8 (* x (pow y 3))) (* 1/4 (pow y 2)))) (* -1/2 y))) 1)>
#<alt (/ -2 (* x y))>
#<alt (/ (- (* 4 (/ 1 (* x (pow y 2)))) (* 2 (/ 1 y))) x)>
#<alt (/ (- (/ 4 (* x (pow y 2))) (+ (* 2 (/ 1 y)) (/ 8 (* (pow x 2) (pow y 3))))) x)>
#<alt (/ (- (+ (* 16 (/ 1 (* (pow x 3) (pow y 4)))) (/ 4 (* x (pow y 2)))) (+ (* 2 (/ 1 y)) (* 8 (/ 1 (* (pow x 2) (pow y 3)))))) x)>
#<alt (/ -2 (* x y))>
#<alt (* -1 (/ (- (* 2 (/ 1 y)) (* 4 (/ 1 (* x (pow y 2))))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* 4 (/ 1 (pow y 2))) (* 8 (/ 1 (* x (pow y 3))))) x)) (* 2 (/ 1 y))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow y 3))) (* 16 (/ 1 (* x (pow y 4))))) x)) (* 4 (/ 1 (pow y 2)))) x)) (* 2 (/ 1 y))) x))>
#<alt -1>
#<alt (- (* 1/2 (* x y)) 1)>
#<alt (- (* y (- (* -1/4 (* (pow x 2) y)) (* -1/2 x))) 1)>
#<alt (- (* y (- (* y (- (* 1/8 (* (pow x 3) y)) (* 1/4 (pow x 2)))) (* -1/2 x))) 1)>
#<alt (/ -2 (* x y))>
#<alt (/ (- (* 4 (/ 1 (* (pow x 2) y))) (* 2 (/ 1 x))) y)>
#<alt (/ (- (/ 4 (* (pow x 2) y)) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2))))) y)>
#<alt (/ (- (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2)))))) y)>
#<alt (/ -2 (* x y))>
#<alt (* -1 (/ (- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y)))) y))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x))) y))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x))) y))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* x y)))>
#<alt (+ 1 (* 1/2 (* x y)))>
#<alt (+ 1 (* 1/2 (* x y)))>
#<alt (* 1/2 (* x y))>
#<alt (* x (+ (* 1/2 y) (/ 1 x)))>
#<alt (* x (+ (* 1/2 y) (/ 1 x)))>
#<alt (* x (+ (* 1/2 y) (/ 1 x)))>
#<alt (* 1/2 (* x y))>
#<alt (* -1 (* x (- (* -1/2 y) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1/2 y) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1/2 y) (/ 1 x))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* x y)))>
#<alt (+ 1 (* 1/2 (* x y)))>
#<alt (+ 1 (* 1/2 (* x y)))>
#<alt (* 1/2 (* x y))>
#<alt (* y (+ (* 1/2 x) (/ 1 y)))>
#<alt (* y (+ (* 1/2 x) (/ 1 y)))>
#<alt (* y (+ (* 1/2 x) (/ 1 y)))>
#<alt (* 1/2 (* x y))>
#<alt (* -1 (* y (- (* -1/2 x) (/ 1 y))))>
#<alt (* -1 (* y (- (* -1/2 x) (/ 1 y))))>
#<alt (* -1 (* y (- (* -1/2 x) (/ 1 y))))>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* -1 y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 y)>
#<alt (- (* x (- 1 (* -1/2 (pow y 2)))) y)>
#<alt (- (* x (- 1 (* -1/2 (pow y 2)))) y)>
#<alt (- (* x (- 1 (* -1/2 (pow y 2)))) y)>
#<alt (* x (- 1 (* -1/2 (pow y 2))))>
#<alt (* x (- (+ 1 (* -1 (/ y x))) (* -1/2 (pow y 2))))>
#<alt (* x (- (+ 1 (* -1 (/ y x))) (* -1/2 (pow y 2))))>
#<alt (* x (- (+ 1 (* -1 (/ y x))) (* -1/2 (pow y 2))))>
#<alt (* x (+ 1 (* 1/2 (pow y 2))))>
#<alt (* -1 (* x (- (/ y x) (+ 1 (* 1/2 (pow y 2))))))>
#<alt (* -1 (* x (- (/ y x) (+ 1 (* 1/2 (pow y 2))))))>
#<alt (* -1 (* x (- (/ y x) (+ 1 (* 1/2 (pow y 2))))))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* y (- (* 1/2 (* x y)) 1)))>
#<alt (+ x (* y (- (* 1/2 (* x y)) 1)))>
#<alt (* 1/2 (* x (pow y 2)))>
#<alt (* -1 (* (pow y 2) (+ (* -1/2 x) (/ 1 y))))>
#<alt (* (pow y 2) (- (/ x (pow y 2)) (+ (* -1/2 x) (/ 1 y))))>
#<alt (* (pow y 2) (- (/ x (pow y 2)) (+ (* -1/2 x) (/ 1 y))))>
#<alt (* 1/2 (* x (pow y 2)))>
#<alt (* -1 (* (pow y 2) (+ (* -1/2 x) (/ 1 y))))>
#<alt (* (pow y 2) (- (* -1 (/ (+ 1 (* -1 (/ x y))) y)) (* -1/2 x)))>
#<alt (* (pow y 2) (- (* -1 (/ (+ 1 (* -1 (/ x y))) y)) (* -1/2 x)))>
#<alt y>
#<alt (+ y (* -1/2 (* x (pow y 2))))>
#<alt (+ y (* -1/2 (* x (pow y 2))))>
#<alt (+ y (* -1/2 (* x (pow y 2))))>
#<alt (* -1/2 (* x (pow y 2)))>
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#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>

Calls

99 calls:

Time	Variable		Point	Expression
5.0ms	x	@	0	(* (+ (* x x) (/ (* y y) (+ (* y (- (* -1/4 (* y (* x x))) x)) -1))) (/ 1 (+ x (/ y (+ (* x (* y 1/2)) 1)))))
0.0ms	y	@	-inf	(* (+ (* x x) (/ (* y y) (+ (* y (- (* -1/4 (* y (* x x))) x)) -1))) (/ 1 (+ x (/ y (+ (* x (* y 1/2)) 1)))))
0.0ms	y	@	inf	(* (+ (* x x) (/ (* y y) (+ (* y (- (* -1/4 (* y (* x x))) x)) -1))) (/ 1 (+ x (/ y (+ (* x (* y 1/2)) 1)))))
0.0ms	x	@	0	(- x (+ (* x (* (* y y) -1/2)) y))
0.0ms	x	@	inf	(- x (+ (* x (* (* y y) -1/2)) y))

rewrite509.0ms (1.7%)

Memory

2.4MiB live, 924.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 482×	`accelerator-lowering-fma.f32`
5 482×	`accelerator-lowering-fma.f64`
4 676×	`/-lowering-/.f32`
4 676×	`/-lowering-/.f64`
4 526×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	188
1	222	184
2	1957	184
0	8251	169

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 635

Calls

Call 1

Inputs
(+ (* (/ -1 (+ (* x (* y 1/2)) 1)) y) x)
(/ -1 (+ (* x (* y 1/2)) 1))
(+ (* x (* y 1/2)) 1)
(* y 1/2)
(- x y)
(- x (+ (* x (* (* y y) -1/2)) y))
(+ (* x (* (* y y) -1/2)) y)
(* (* y y) -1/2)
(* y y)
(/ (+ (* x (* y 1/2)) 1) y)
(/ 1 (/ (+ (* x (* y 1/2)) 1) y))
(- x (/ 1 (/ (+ (* x (* y 1/2)) 1) y)))
(* (+ (* x x) (/ (* y y) (+ (* y (- (* -1/4 (* y (* x x))) x)) -1))) (/ 1 (+ x (/ y (+ (* x (* y 1/2)) 1)))))
(- (* -1/4 (* y (* x x))) x)
(+ (* x x) (/ (* y y) (+ (* y (- (* -1/4 (* y (* x x))) x)) -1)))
(/ (* y y) (+ (* y (- (* -1/4 (* y (* x x))) x)) -1))
(/ y (+ (* x (* y 1/2)) 1))
(* y (* x x))

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

simplify470.0ms (1.6%)

Memory

-3.2MiB live, 905.0MiB allocated

Algorithm

1×	egg-herbie

Rules

6 982×	`accelerator-lowering-fma.f32`
6 982×	`accelerator-lowering-fma.f64`
4 800×	`-lowering-.f32`
4 800×	`-lowering-.f64`
3 702×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	679	5512
1	2220	5335
2	7092	5313
0	8006	5042

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 396

Calls

Call 1

Inputs
(* -1 y)
(+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2)))))
(+ (* -1 y) (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))))
(+ (* -1 y) (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))))
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
x
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
x
(+ x (* -1 y))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
-1
(- (* 1/2 (* x y)) 1)
(- (* x (- (* -1/4 (* x (pow y 2))) (* -1/2 y))) 1)
(- (* x (- (* x (- (* 1/8 (* x (pow y 3))) (* 1/4 (pow y 2)))) (* -1/2 y))) 1)
(/ -2 (* x y))
(/ (- (* 4 (/ 1 (* x (pow y 2)))) (* 2 (/ 1 y))) x)
(/ (- (/ 4 (* x (pow y 2))) (+ (* 2 (/ 1 y)) (/ 8 (* (pow x 2) (pow y 3))))) x)
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(/ -4 (pow x 2))
(/ (- (* 16 (/ 1 (* x y))) 4) (pow x 2))
(/ (- (* -1 (/ (- (* 48 (/ 1 (* x (pow y 2)))) (* 16 (/ 1 y))) x)) 4) (pow x 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (* 128 (/ 1 (* x (pow y 3)))) (* 48 (/ 1 (pow y 2)))) x)) (* 16 (/ 1 y))) x)) 4) (pow x 2))
y
(* y (+ 1 (* -1/2 (* x y))))
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))
(/ 2 x)
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(/ 2 x)
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))
y
(+ y (* -1/2 (* x (pow y 2))))
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))
(/ 2 x)
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
(/ 2 x)
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)

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

eval171.0ms (0.6%)

Memory: 56.3MiB live, 377.7MiB allocated
Compiler: Compiled 40 622 to 2 731 computations (93.3% saved)

prune128.0ms (0.4%)

Memory

-21.6MiB live, 359.0MiB allocated

Pruning

16 alts after pruning (9 fresh and 7 done)

	Pruned	Kept	Total
New	1 186	7	1 193
Fresh	5	2	7
Picked	2	3	5
Done	0	4	4
Total	1 193	16	1 209

Accuracy

100.0%

Counts

1 209 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))) y x)
✓	59.8%	(fma.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) x)
▶	61.0%	(fma.f64 x (/.f64 #s(literal -2 binary64) (*.f64 x x)) x)
	53.7%	(/.f64 (fma.f64 x x (/.f64 (.f64 y y) (fma.f64 y (-.f64 (.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x y))) x) #s(literal -1 binary64)))) (+.f64 x (/.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64)))))
	29.5%	(/.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 (fma.f64 y (-.f64 (.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x y))) x) #s(literal -1 binary64)) (fma.f64 y (-.f64 (.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x y))) x) #s(literal -1 binary64))))) (.f64 (+.f64 x (/.f64 y (fma.f64 #s(literal 1/2 binary64) (.f64 x y) #s(literal 1 binary64)))) (-.f64 (.f64 x x) (/.f64 (.f64 y y) (fma.f64 y (-.f64 (.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x y))) x) #s(literal -1 binary64))))))
✓	53.1%	(-.f64 x (fma.f64 x (.f64 (.f64 y y) (fma.f64 x (*.f64 y #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) y))
✓	58.1%	(-.f64 x (fma.f64 x (.f64 (.f64 y y) #s(literal -1/2 binary64)) y))
✓	99.9%	(-.f64 x (/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64))))
▶	63.4%	(-.f64 x (/.f64 #s(literal 2 binary64) x))
▶	99.9%	(-.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
✓	72.2%	(-.f64 x y)
	62.6%	(.f64 (fma.f64 (/.f64 y (fma.f64 y (-.f64 (.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x y))) x) #s(literal -1 binary64))) y (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y (fma.f64 x (.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
▶	53.5%	(.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x y))) x) #s(literal -1 binary64))) (.f64 y y) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
▶	53.5%	(.f64 (fma.f64 x x (/.f64 (.f64 y y) (fma.f64 y (.f64 x (fma.f64 y (.f64 x #s(literal -1/4 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
	67.7%	(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y x)))
✓	61.2%	x

Compiler

Compiled 569 to 304 computations (46.6% saved)

simplify265.0ms (0.9%)

Memory

-21.8MiB live, 476.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (.f64 #s(literal -1/4 binary64) (.f64 x (*.f64 x y))) x) #s(literal -1 binary64)))
✓	cost-diff	192	(-.f64 (.f64 #s(literal -1/4 binary64) (.f64 x (*.f64 x y))) x)
✓	cost-diff	320	(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x y))) x) #s(literal -1 binary64))) (.f64 y y) (*.f64 x x))
✓	cost-diff	320	(.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x y))) x) #s(literal -1 binary64))) (.f64 y y) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
✓	cost-diff	0	(fma.f64 y (.f64 x (fma.f64 y (.f64 x #s(literal -1/4 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(fma.f64 x x (/.f64 (.f64 y y) (fma.f64 y (.f64 x (fma.f64 y (*.f64 x #s(literal -1/4 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))))
✓	cost-diff	320	(.f64 (fma.f64 x x (/.f64 (.f64 y y) (fma.f64 y (.f64 x (fma.f64 y (.f64 x #s(literal -1/4 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
✓	cost-diff	-64	(*.f64 x x)
✓	cost-diff	0	(/.f64 #s(literal -2 binary64) (*.f64 x x))
✓	cost-diff	576	(fma.f64 x (/.f64 #s(literal -2 binary64) (*.f64 x x)) x)
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) x)
✓	cost-diff	0	(-.f64 x (/.f64 #s(literal 2 binary64) x))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	0	(fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
✓	cost-diff	0	(-.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))

Rules

5 434×	`accelerator-lowering-fma.f32`
5 434×	`accelerator-lowering-fma.f64`
3 288×	`-lowering-.f32`
3 288×	`-lowering-.f64`
1 548×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	379
1	105	375
2	222	375
3	419	375
4	751	375
5	1322	375
6	2555	375
7	4447	375
8	6578	375
0	8311	339

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(- x (/ 1 (+ (* x 1/2) (/ 1 y))))
x
(/ 1 (+ (* x 1/2) (/ 1 y)))
1
(+ (* x 1/2) (/ 1 y))
1/2
(/ 1 y)
y
(- x (/ 2 x))
x
(/ 2 x)
2
(+ (* x (/ -2 (* x x))) x)
x
(/ -2 (* x x))
-2
(* x x)
(* (+ (* x x) (/ (* y y) (+ (* y (* x (+ (* y (* x -1/4)) -1))) -1))) (/ 1 (+ x (/ y (+ (* x (* y 1/2)) 1)))))
(+ (* x x) (/ (* y y) (+ (* y (* x (+ (* y (* x -1/4)) -1))) -1)))
x
(/ (* y y) (+ (* y (* x (+ (* y (* x -1/4)) -1))) -1))
(* y y)
y
(+ (* y (* x (+ (* y (* x -1/4)) -1))) -1)
(* x (+ (* y (* x -1/4)) -1))
(+ (* y (* x -1/4)) -1)
(* x -1/4)
-1/4
-1
(/ 1 (+ x (/ y (+ (* x (* y 1/2)) 1))))
1
(+ x (/ y (+ (* x (* y 1/2)) 1)))
(/ y (+ (* x (* y 1/2)) 1))
(+ (* x (* y 1/2)) 1)
(* y 1/2)
1/2
(* (+ (* (/ 1 (+ (* y (- (* -1/4 (* x (* x y))) x)) -1)) (* y y)) (* x x)) (/ 1 (+ x (/ y (+ (* x (* y 1/2)) 1)))))
(+ (* (/ 1 (+ (* y (- (* -1/4 (* x (* x y))) x)) -1)) (* y y)) (* x x))
(/ 1 (+ (* y (- (* -1/4 (* x (* x y))) x)) -1))
1
(+ (* y (- (* -1/4 (* x (* x y))) x)) -1)
y
(- (* -1/4 (* x (* x y))) x)
(* -1/4 (* x (* x y)))
-1/4
(* x (* x y))
x
(* x y)
-1
(* y y)
(* x x)
(/ 1 (+ x (/ y (+ (* x (* y 1/2)) 1))))
(+ x (/ y (+ (* x (* y 1/2)) 1)))
(/ y (+ (* x (* y 1/2)) 1))
(+ (* x (* y 1/2)) 1)
(* y 1/2)
1/2

Outputs
(- x (/ 1 (+ (* x 1/2) (/ 1 y))))
(+.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) y))))
x
(/ 1 (+ (* x 1/2) (/ 1 y)))
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
1
#s(literal 1 binary64)
(+ (* x 1/2) (/ 1 y))
(fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
1/2
#s(literal 1/2 binary64)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
y
(- x (/ 2 x))
(+.f64 x (/.f64 #s(literal -2 binary64) x))
x
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
2
#s(literal 2 binary64)
(+ (* x (/ -2 (* x x))) x)
(+.f64 x (/.f64 #s(literal -2 binary64) x))
x
(/ -2 (* x x))
(/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal 0 binary64)))
-2
#s(literal -2 binary64)
(* x x)
(fma.f64 x x #s(literal 0 binary64))
(* (+ (* x x) (/ (* y y) (+ (* y (* x (+ (* y (* x -1/4)) -1))) -1))) (/ 1 (+ x (/ y (+ (* x (* y 1/2)) 1)))))
(/.f64 (fma.f64 y (/.f64 y (fma.f64 (fma.f64 x (fma.f64 y #s(literal -1/4 binary64) #s(literal 0 binary64)) #s(literal -1 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal -1 binary64))) (fma.f64 x x #s(literal 0 binary64))) (+.f64 x (/.f64 y (fma.f64 x (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)))))
(+ (* x x) (/ (* y y) (+ (* y (* x (+ (* y (* x -1/4)) -1))) -1)))
(fma.f64 y (/.f64 y (fma.f64 (fma.f64 x (fma.f64 y #s(literal -1/4 binary64) #s(literal 0 binary64)) #s(literal -1 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal -1 binary64))) (fma.f64 x x #s(literal 0 binary64)))
x
(/ (* y y) (+ (* y (* x (+ (* y (* x -1/4)) -1))) -1))
(fma.f64 y (/.f64 y (fma.f64 (fma.f64 x (fma.f64 y #s(literal -1/4 binary64) #s(literal 0 binary64)) #s(literal -1 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal -1 binary64))) #s(literal 0 binary64))
(* y y)
(*.f64 y y)
y
(+ (* y (* x (+ (* y (* x -1/4)) -1))) -1)
(fma.f64 (fma.f64 x (fma.f64 y #s(literal -1/4 binary64) #s(literal 0 binary64)) #s(literal -1 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal -1 binary64))
(* x (+ (* y (* x -1/4)) -1))
(fma.f64 x (fma.f64 x (fma.f64 y #s(literal -1/4 binary64) #s(literal 0 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))
(+ (* y (* x -1/4)) -1)
(fma.f64 x (fma.f64 y #s(literal -1/4 binary64) #s(literal 0 binary64)) #s(literal -1 binary64))
(* x -1/4)
(fma.f64 x #s(literal -1/4 binary64) #s(literal 0 binary64))
-1/4
#s(literal -1/4 binary64)
-1
#s(literal -1 binary64)
(/ 1 (+ x (/ y (+ (* x (* y 1/2)) 1))))
(/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y (fma.f64 x (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)))))
1
#s(literal 1 binary64)
(+ x (/ y (+ (* x (* y 1/2)) 1)))
(+.f64 x (/.f64 y (fma.f64 x (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))))
(/ y (+ (* x (* y 1/2)) 1))
(/.f64 y (fma.f64 x (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)))
(+ (* x (* y 1/2)) 1)
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))
(* y 1/2)
(*.f64 #s(literal 1/2 binary64) y)
1/2
#s(literal 1/2 binary64)
(* (+ (* (/ 1 (+ (* y (- (* -1/4 (* x (* x y))) x)) -1)) (* y y)) (* x x)) (/ 1 (+ x (/ y (+ (* x (* y 1/2)) 1)))))
(/.f64 (fma.f64 y (/.f64 y (fma.f64 (fma.f64 x (fma.f64 y #s(literal -1/4 binary64) #s(literal 0 binary64)) #s(literal -1 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal -1 binary64))) (fma.f64 x x #s(literal 0 binary64))) (+.f64 x (/.f64 y (fma.f64 x (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)))))
(+ (* (/ 1 (+ (* y (- (* -1/4 (* x (* x y))) x)) -1)) (* y y)) (* x x))
(fma.f64 y (/.f64 y (fma.f64 (fma.f64 x (fma.f64 y #s(literal -1/4 binary64) #s(literal 0 binary64)) #s(literal -1 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal -1 binary64))) (fma.f64 x x #s(literal 0 binary64)))
(/ 1 (+ (* y (- (* -1/4 (* x (* x y))) x)) -1))
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (fma.f64 y #s(literal -1/4 binary64) #s(literal 0 binary64)) #s(literal -1 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal -1 binary64)))
1
#s(literal 1 binary64)
(+ (* y (- (* -1/4 (* x (* x y))) x)) -1)
(fma.f64 (fma.f64 x (fma.f64 y #s(literal -1/4 binary64) #s(literal 0 binary64)) #s(literal -1 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal -1 binary64))
y
(- (* -1/4 (* x (* x y))) x)
(fma.f64 x (fma.f64 x (fma.f64 y #s(literal -1/4 binary64) #s(literal 0 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))
(* -1/4 (* x (* x y)))
(fma.f64 x (fma.f64 y (fma.f64 x #s(literal -1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
-1/4
#s(literal -1/4 binary64)
(* x (* x y))
(fma.f64 y (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
x
(* x y)
(fma.f64 x y #s(literal 0 binary64))
-1
#s(literal -1 binary64)
(* y y)
(*.f64 y y)
(* x x)
(fma.f64 x x #s(literal 0 binary64))
(/ 1 (+ x (/ y (+ (* x (* y 1/2)) 1))))
(/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y (fma.f64 x (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)))))
(+ x (/ y (+ (* x (* y 1/2)) 1)))
(+.f64 x (/.f64 y (fma.f64 x (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))))
(/ y (+ (* x (* y 1/2)) 1))
(/.f64 y (fma.f64 x (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)))
(+ (* x (* y 1/2)) 1)
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))
(* y 1/2)
(*.f64 #s(literal 1/2 binary64) y)
1/2
#s(literal 1/2 binary64)

localize261.0ms (0.9%)

Memory

-18.6MiB live, 254.8MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	97.1%	(fma.f64 y (-.f64 (.f64 #s(literal -1/4 binary64) (.f64 x (*.f64 x y))) x) #s(literal -1 binary64))
✓	accuracy	85.3%	(/.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))
✓	accuracy	80.3%	(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x y))) x) #s(literal -1 binary64))) (.f64 y y) (*.f64 x x))
✓	accuracy	68.1%	(.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x y))) x) #s(literal -1 binary64))) (.f64 y y) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
✓	accuracy	97.1%	(fma.f64 y (.f64 x (fma.f64 y (.f64 x #s(literal -1/4 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
✓	accuracy	85.3%	(/.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))
✓	accuracy	76.1%	(/.f64 (.f64 y y) (fma.f64 y (.f64 x (fma.f64 y (*.f64 x #s(literal -1/4 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
✓	accuracy	68.1%	(.f64 (fma.f64 x x (/.f64 (.f64 y y) (fma.f64 y (.f64 x (fma.f64 y (.f64 x #s(literal -1/4 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.3%	(/.f64 #s(literal -2 binary64) (*.f64 x x))
✓	accuracy	81.8%	(fma.f64 x (/.f64 #s(literal -2 binary64) (*.f64 x x)) x)
✓	accuracy	100.0%	(/.f64 #s(literal 2 binary64) x)
✓	accuracy	100.0%	(-.f64 x (/.f64 #s(literal 2 binary64) x))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
✓	accuracy	100.0%	(-.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))

Samples

182.0ms

256×

valid

Compiler

Compiled 357 to 47 computations (86.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 160.0ms

ival-add: 114.0ms (71.3% of total)

ival-mult: 25.0ms (15.6% of total)

ival-div: 14.0ms (8.8% of total)

ival-sub: 5.0ms (3.1% of total)

exact: 1.0ms (0.6% of total)

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

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

series24.0ms (0.1%)

Memory

-1.3MiB live, 39.1MiB allocated

Counts

20 → 396

Calls

Call 1

Inputs
#<alt (- x (/ 1 (+ (* x 1/2) (/ 1 y))))>
#<alt (/ 1 (+ (* x 1/2) (/ 1 y)))>
#<alt (+ (* x 1/2) (/ 1 y))>
#<alt (/ 1 y)>
#<alt (- x (/ 2 x))>
#<alt (/ 2 x)>
#<alt (+ (* x (/ -2 (* x x))) x)>
#<alt (/ -2 (* x x))>
#<alt (* x x)>
#<alt (* (+ (* x x) (/ (* y y) (+ (* y (* x (+ (* y (* x -1/4)) -1))) -1))) (/ 1 (+ x (/ y (+ (* x (* y 1/2)) 1)))))>
#<alt (+ (* x x) (/ (* y y) (+ (* y (* x (+ (* y (* x -1/4)) -1))) -1)))>
#<alt (* y y)>
#<alt (+ (* y (* x (+ (* y (* x -1/4)) -1))) -1)>
#<alt (* (+ (* (/ 1 (+ (* y (- (* -1/4 (* x (* x y))) x)) -1)) (* y y)) (* x x)) (/ 1 (+ x (/ y (+ (* x (* y 1/2)) 1)))))>
#<alt (+ (* (/ 1 (+ (* y (- (* -1/4 (* x (* x y))) x)) -1)) (* y y)) (* x x))>
#<alt (- (* -1/4 (* x (* x y))) x)>
#<alt (/ 1 (+ (* y (- (* -1/4 (* x (* x y))) x)) -1))>
#<alt (/ (* y y) (+ (* y (* x (+ (* y (* x -1/4)) -1))) -1))>
#<alt (/ y (+ (* x (* y 1/2)) 1))>
#<alt (+ (* y (- (* -1/4 (* x (* x y))) x)) -1)>

Outputs
#<alt (* -1 y)>
#<alt (- (* x (+ 1 (* 1/2 (pow y 2)))) y)>
#<alt (- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)>
#<alt (- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)>
#<alt x>
#<alt (* x (- 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))>
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#<alt (- (+ (* 4 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 2) (* y (pow (+ x (* 2 (/ 1 x))) 2))))) (+ (/ 16 (* (pow x 3) (* y (+ x (* 2 (/ 1 x)))))) (/ (pow x 2) (+ x (* 2 (/ 1 x)))))) (/ 4 (* (pow x 2) (+ x (* 2 (/ 1 x))))))>
#<alt (- (+ (* -1 (/ (- (+ (* -4 (/ (+ (* 4 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 2)))) (* 16 (/ 1 (* (pow x 3) (+ x (* 2 (/ 1 x))))))) (* (pow x 2) (* y (+ x (* 2 (/ 1 x))))))) (+ (* 8 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 3) (* y (pow (+ x (* 2 (/ 1 x))) 2))))) (/ 48 (* (pow x 4) (* y (+ x (* 2 (/ 1 x)))))))) (+ (* 4 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 2)))) (* 16 (/ 1 (* (pow x 3) (+ x (* 2 (/ 1 x)))))))) y)) (/ (pow x 2) (+ x (* 2 (/ 1 x))))) (/ 4 (* (pow x 2) (+ x (* 2 (/ 1 x))))))>
#<alt (- (+ (* -1 (/ (- (* -1 (/ (- (+ (* -8 (/ (+ (* 4 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 2)))) (* 16 (/ 1 (* (pow x 3) (+ x (* 2 (/ 1 x))))))) (* (pow x 3) (* y (+ x (* 2 (/ 1 x))))))) (+ (* -4 (/ (+ (* -4 (/ (+ (* 4 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 2)))) (* 16 (/ 1 (* (pow x 3) (+ x (* 2 (/ 1 x))))))) (* (pow x 2) (+ x (* 2 (/ 1 x)))))) (+ (* 8 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 3) (pow (+ x (* 2 (/ 1 x))) 2)))) (* 48 (/ 1 (* (pow x 4) (+ x (* 2 (/ 1 x)))))))) (* (pow x 2) (* y (+ x (* 2 (/ 1 x))))))) (+ (* 16 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 4) (* y (pow (+ x (* 2 (/ 1 x))) 2))))) (/ 128 (* (pow x 5) (* y (+ x (* 2 (/ 1 x))))))))) (+ (* -4 (/ (+ (* 4 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 2)))) (* 16 (/ 1 (* (pow x 3) (+ x (* 2 (/ 1 x))))))) (* (pow x 2) (+ x (* 2 (/ 1 x)))))) (+ (* 8 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 3) (pow (+ x (* 2 (/ 1 x))) 2)))) (* 48 (/ 1 (* (pow x 4) (+ x (* 2 (/ 1 x))))))))) y)) (+ (* 4 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 2)))) (* 16 (/ 1 (* (pow x 3) (+ x (* 2 (/ 1 x)))))))) y)) (/ (pow x 2) (+ x (* 2 (/ 1 x))))) (/ 4 (* (pow x 2) (+ x (* 2 (/ 1 x))))))>
#<alt (* -1 y)>
#<alt (+ (* -1 y) (* x (- (pow y 2) (* -1 (- 1 (* 1/2 (pow y 2)))))))>
#<alt (+ (* -1 y) (* x (- (+ (* x (- (/ 1 y) (+ (* -1/2 (pow y 3)) (+ (/ (* (- 1 (* 1/2 (pow y 2))) (- (pow y 2) (* -1 (- 1 (* 1/2 (pow y 2)))))) y) (pow y 3))))) (pow y 2)) (* -1 (- 1 (* 1/2 (pow y 2)))))))>
#<alt (+ (* -1 y) (* x (- (+ (* x (- (+ (* x (- (* -1 (/ (+ (* -1 (* y (+ (* -1/4 (pow y 4)) (pow y 4)))) (* 1/4 (pow y 5))) y)) (+ (* 1/8 (pow y 4)) (+ (* 1/4 (* (pow y 2) (- (pow y 2) (* -1 (- 1 (* 1/2 (pow y 2))))))) (/ (* (- 1 (* 1/2 (pow y 2))) (- (/ 1 y) (+ (* -1/2 (pow y 3)) (+ (/ (* (- 1 (* 1/2 (pow y 2))) (- (pow y 2) (* -1 (- 1 (* 1/2 (pow y 2)))))) y) (pow y 3))))) y))))) (/ 1 y)) (+ (* -1/2 (pow y 3)) (+ (/ (* (- 1 (* 1/2 (pow y 2))) (- (pow y 2) (* -1 (- 1 (* 1/2 (pow y 2)))))) y) (pow y 3))))) (pow y 2)) (* -1 (- 1 (* 1/2 (pow y 2)))))))>
#<alt x>
#<alt (* x (- 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))>
#<alt x>
#<alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))>
#<alt (* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))>
#<alt (pow x 2)>
#<alt (+ (* -1 (pow y 2)) (pow x 2))>
#<alt (+ (* (pow y 2) (- (* x y) 1)) (pow x 2))>
#<alt (+ (* (pow y 2) (- (* y (- (* -1 (* y (+ (* -1/4 (pow x 2)) (pow x 2)))) (* -1 x))) 1)) (pow x 2))>
#<alt (- (pow x 2) (* 4 (/ 1 (pow x 2))))>
#<alt (- (+ (* 16 (/ 1 (* (pow x 3) y))) (pow x 2)) (* 4 (/ 1 (pow x 2))))>
#<alt (- (+ (/ 16 (* (pow x 3) y)) (pow x 2)) (+ (* 4 (/ 1 (pow x 2))) (/ 48 (* (pow x 4) (pow y 2)))))>
#<alt (- (+ (* 128 (/ 1 (* (pow x 5) (pow y 3)))) (+ (/ 16 (* (pow x 3) y)) (pow x 2))) (+ (* 4 (/ 1 (pow x 2))) (* 48 (/ 1 (* (pow x 4) (pow y 2))))))>
#<alt (- (pow x 2) (* 4 (/ 1 (pow x 2))))>
#<alt (- (+ (* 16 (/ 1 (* (pow x 3) y))) (pow x 2)) (* 4 (/ 1 (pow x 2))))>
#<alt (- (+ (* -1 (/ (- (* 48 (/ 1 (* (pow x 4) y))) (* 16 (/ 1 (pow x 3)))) y)) (pow x 2)) (* 4 (/ 1 (pow x 2))))>
#<alt (- (+ (* -1 (/ (- (* -1 (/ (- (* 128 (/ 1 (* (pow x 5) y))) (* 48 (/ 1 (pow x 4)))) y)) (* 16 (/ 1 (pow x 3)))) y)) (pow x 2)) (* 4 (/ 1 (pow x 2))))>
#<alt (* -1 (pow y 2))>
#<alt (+ (* -1 (pow y 2)) (* x (pow y 3)))>
#<alt (+ (* -1 (pow y 2)) (* x (- (* x (- 1 (+ (* -1/4 (pow y 4)) (pow y 4)))) (* -1 (pow y 3)))))>
#<alt (+ (* -1 (pow y 2)) (* x (- (* x (- (+ 1 (* -1 (* x (+ (* -1 (* y (+ (* -1/4 (pow y 4)) (pow y 4)))) (* 1/4 (pow y 5)))))) (+ (* -1/4 (pow y 4)) (pow y 4)))) (* -1 (pow y 3)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (* 4 (/ 1 (pow x 4)))))>
#<alt (* (pow x 2) (- (+ 1 (/ 16 (* (pow x 5) y))) (* 4 (/ 1 (pow x 4)))))>
#<alt (* (pow x 2) (- (+ 1 (* 16 (/ 1 (* (pow x 5) y)))) (+ (* 48 (/ 1 (* (pow x 6) (pow y 2)))) (* 4 (/ 1 (pow x 4))))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (* 4 (/ 1 (pow x 4)))))>
#<alt (* (pow x 2) (- (+ 1 (/ 16 (* (pow x 5) y))) (* 4 (/ 1 (pow x 4)))))>
#<alt (* (pow x 2) (- (+ 1 (* -1 (/ (- (* 48 (/ 1 (* x (pow y 2)))) (* 16 (/ 1 y))) (pow x 5)))) (* 4 (/ 1 (pow x 4)))))>
#<alt (* -1 x)>
#<alt (* x (- (* -1/4 (* x y)) 1))>
#<alt (* x (- (* -1/4 (* x y)) 1))>
#<alt (* x (- (* -1/4 (* x y)) 1))>
#<alt (* -1/4 (* (pow x 2) y))>
#<alt (* (pow x 2) (- (* -1/4 y) (/ 1 x)))>
#<alt (* (pow x 2) (- (* -1/4 y) (/ 1 x)))>
#<alt (* (pow x 2) (- (* -1/4 y) (/ 1 x)))>
#<alt (* -1/4 (* (pow x 2) y))>
#<alt (* (pow x 2) (- (* -1/4 y) (/ 1 x)))>
#<alt (* (pow x 2) (- (* -1/4 y) (/ 1 x)))>
#<alt (* (pow x 2) (- (* -1/4 y) (/ 1 x)))>
#<alt (* -1 x)>
#<alt (- (* -1/4 (* (pow x 2) y)) x)>
#<alt (- (* -1/4 (* (pow x 2) y)) x)>
#<alt (- (* -1/4 (* (pow x 2) y)) x)>
#<alt (* -1/4 (* (pow x 2) y))>
#<alt (* y (+ (* -1 (/ x y)) (* -1/4 (pow x 2))))>
#<alt (* y (+ (* -1 (/ x y)) (* -1/4 (pow x 2))))>
#<alt (* y (+ (* -1 (/ x y)) (* -1/4 (pow x 2))))>
#<alt (* -1/4 (* (pow x 2) y))>
#<alt (* -1 (* y (+ (* 1/4 (pow x 2)) (/ x y))))>
#<alt (* -1 (* y (+ (* 1/4 (pow x 2)) (/ x y))))>
#<alt (* -1 (* y (+ (* 1/4 (pow x 2)) (/ x y))))>
#<alt -1>
#<alt (- (* x y) 1)>
#<alt (- (* y (- (* -1 (* y (+ (* -1/4 (pow x 2)) (pow x 2)))) (* -1 x))) 1)>
#<alt (- (* y (- (* y (- (* -1 (* y (+ (* -1 (* x (+ (* -1/4 (pow x 2)) (pow x 2)))) (* 1/4 (pow x 3))))) (+ (* -1/4 (pow x 2)) (pow x 2)))) (* -1 x))) 1)>
#<alt (/ -4 (* (pow x 2) (pow y 2)))>
#<alt (/ (- (* 16 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) (pow y 2))>
#<alt (/ (- (/ 16 (* (pow x 3) y)) (+ (* 4 (/ 1 (pow x 2))) (/ 48 (* (pow x 4) (pow y 2))))) (pow y 2))>
#<alt (/ (- (+ (* 128 (/ 1 (* (pow x 5) (pow y 3)))) (/ 16 (* (pow x 3) y))) (+ (* 48 (/ 1 (* (pow x 4) (pow y 2)))) (* 4 (/ 1 (pow x 2))))) (pow y 2))>
#<alt (/ -4 (* (pow x 2) (pow y 2)))>
#<alt (/ (- (* 16 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) (pow y 2))>
#<alt (/ (- (* -1 (/ (- (* 48 (/ 1 (* (pow x 4) y))) (* 16 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) (pow y 2))>
#<alt (/ (- (* -1 (/ (- (* -1 (/ (- (* 128 (/ 1 (* (pow x 5) y))) (* 48 (/ 1 (pow x 4)))) y)) (* 16 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) (pow y 2))>
#<alt -1>
#<alt (- (* x y) 1)>
#<alt (- (* x (- (* -1 (* x (+ (* -1/4 (pow y 2)) (pow y 2)))) (* -1 y))) 1)>
#<alt (- (* x (- (* x (- (* -1 (* x (+ (* -1 (* y (+ (* -1/4 (pow y 2)) (pow y 2)))) (* 1/4 (pow y 3))))) (+ (* -1/4 (pow y 2)) (pow y 2)))) (* -1 y))) 1)>
#<alt (/ -4 (* (pow x 2) (pow y 2)))>
#<alt (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 4 (/ 1 (pow y 2)))) (pow x 2))>
#<alt (/ (- (/ 16 (* x (pow y 3))) (+ (* 4 (/ 1 (pow y 2))) (/ 48 (* (pow x 2) (pow y 4))))) (pow x 2))>
#<alt (/ (- (+ (* 128 (/ 1 (* (pow x 3) (pow y 5)))) (/ 16 (* x (pow y 3)))) (+ (* 48 (/ 1 (* (pow x 2) (pow y 4)))) (* 4 (/ 1 (pow y 2))))) (pow x 2))>
#<alt (/ -4 (* (pow x 2) (pow y 2)))>
#<alt (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 4 (/ 1 (pow y 2)))) (pow x 2))>
#<alt (/ (- (* -1 (/ (- (* 48 (/ 1 (* x (pow y 4)))) (* 16 (/ 1 (pow y 3)))) x)) (* 4 (/ 1 (pow y 2)))) (pow x 2))>
#<alt (/ (- (* -1 (/ (- (* -1 (/ (- (* 128 (/ 1 (* x (pow y 5)))) (* 48 (/ 1 (pow y 4)))) x)) (* 16 (/ 1 (pow y 3)))) x)) (* 4 (/ 1 (pow y 2)))) (pow x 2))>
#<alt (* -1 (pow y 2))>
#<alt (* (pow y 2) (- (* x y) 1))>
#<alt (* (pow y 2) (- (* y (- (* -1 (* y (+ (* -1/4 (pow x 2)) (pow x 2)))) (* -1 x))) 1))>
#<alt (* (pow y 2) (- (* y (- (* y (- (* -1 (* y (+ (* -1 (* x (+ (* -1/4 (pow x 2)) (pow x 2)))) (* 1/4 (pow x 3))))) (+ (* -1/4 (pow x 2)) (pow x 2)))) (* -1 x))) 1))>
#<alt (/ -4 (pow x 2))>
#<alt (- (* 16 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2))))>
#<alt (- (/ 16 (* (pow x 3) y)) (+ (* 4 (/ 1 (pow x 2))) (/ 48 (* (pow x 4) (pow y 2)))))>
#<alt (- (+ (* 128 (/ 1 (* (pow x 5) (pow y 3)))) (/ 16 (* (pow x 3) y))) (+ (* 48 (/ 1 (* (pow x 4) (pow y 2)))) (* 4 (/ 1 (pow x 2)))))>
#<alt (/ -4 (pow x 2))>
#<alt (- (* 16 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2))))>
#<alt (- (* -1 (/ (- (* 48 (/ 1 (* (pow x 4) y))) (* 16 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2))))>
#<alt (- (* -1 (/ (- (* -1 (/ (- (* 128 (/ 1 (* (pow x 5) y))) (* 48 (/ 1 (pow x 4)))) y)) (* 16 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2))))>
#<alt (* -1 (pow y 2))>
#<alt (+ (* -1 (pow y 2)) (* x (pow y 3)))>
#<alt (+ (* -1 (pow y 2)) (* x (- (* -1 (* x (+ (* -1/4 (pow y 4)) (pow y 4)))) (* -1 (pow y 3)))))>
#<alt (+ (* -1 (pow y 2)) (* x (- (* x (- (* -1 (* x (+ (* -1 (* y (+ (* -1/4 (pow y 4)) (pow y 4)))) (* 1/4 (pow y 5))))) (+ (* -1/4 (pow y 4)) (pow y 4)))) (* -1 (pow y 3)))))>
#<alt (/ -4 (pow x 2))>
#<alt (/ (- (* 16 (/ 1 (* x y))) 4) (pow x 2))>
#<alt (/ (- (/ 16 (* x y)) (+ 4 (/ 48 (* (pow x 2) (pow y 2))))) (pow x 2))>
#<alt (/ (- (+ (* 128 (/ 1 (* (pow x 3) (pow y 3)))) (/ 16 (* x y))) (+ 4 (* 48 (/ 1 (* (pow x 2) (pow y 2)))))) (pow x 2))>
#<alt (/ -4 (pow x 2))>
#<alt (/ (- (* 16 (/ 1 (* x y))) 4) (pow x 2))>
#<alt (/ (- (* -1 (/ (- (* 48 (/ 1 (* x (pow y 2)))) (* 16 (/ 1 y))) x)) 4) (pow x 2))>
#<alt (/ (- (* -1 (/ (- (* -1 (/ (- (* 128 (/ 1 (* x (pow y 3)))) (* 48 (/ 1 (pow y 2)))) x)) (* 16 (/ 1 y))) x)) 4) (pow x 2))>
#<alt y>
#<alt (* y (+ 1 (* -1/2 (* x y))))>
#<alt (* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))>
#<alt (* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))>
#<alt (/ 2 x)>
#<alt (- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))>
#<alt (- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))>
#<alt (- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))>
#<alt (/ 2 x)>
#<alt (- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))>
#<alt (+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))>
#<alt y>
#<alt (+ y (* -1/2 (* x (pow y 2))))>
#<alt (+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))>
#<alt (+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))>
#<alt (/ 2 x)>
#<alt (/ (- 2 (* 4 (/ 1 (* x y)))) x)>
#<alt (/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)>
#<alt (/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)>
#<alt (/ 2 x)>
#<alt (* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))>
#<alt -1>
#<alt (- (* -1 (* x y)) 1)>
#<alt (- (* y (+ (* -1 x) (* -1/4 (* (pow x 2) y)))) 1)>
#<alt (- (* y (+ (* -1 x) (* -1/4 (* (pow x 2) y)))) 1)>
#<alt (* -1/4 (* (pow x 2) (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1 (/ x y)) (* -1/4 (pow x 2))))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ x (/ 1 y)) y)) (* -1/4 (pow x 2))))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ x (/ 1 y)) y)) (* -1/4 (pow x 2))))>
#<alt (* -1/4 (* (pow x 2) (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1 (/ x y)) (* -1/4 (pow x 2))))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ x (/ 1 y)) y)) (* -1/4 (pow x 2))))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ x (/ 1 y)) y)) (* -1/4 (pow x 2))))>
#<alt -1>
#<alt (- (* -1 (* x y)) 1)>
#<alt (- (* x (+ (* -1 y) (* -1/4 (* x (pow y 2))))) 1)>
#<alt (- (* x (+ (* -1 y) (* -1/4 (* x (pow y 2))))) 1)>
#<alt (* -1/4 (* (pow x 2) (pow y 2)))>
#<alt (* (pow x 2) (+ (* -1 (/ y x)) (* -1/4 (pow y 2))))>
#<alt (* (pow x 2) (- (+ (* -1 (/ y x)) (* -1/4 (pow y 2))) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- (+ (* -1 (/ y x)) (* -1/4 (pow y 2))) (/ 1 (pow x 2))))>
#<alt (* -1/4 (* (pow x 2) (pow y 2)))>
#<alt (* (pow x 2) (+ (* -1 (/ y x)) (* -1/4 (pow y 2))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ y (/ 1 x)) x)) (* -1/4 (pow y 2))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ y (/ 1 x)) x)) (* -1/4 (pow y 2))))>

Calls

99 calls:

Time	Variable		Point	Expression
4.0ms	y	@	inf	(* (+ (* x x) (/ (* y y) (+ (* y (* x (+ (* y (* x -1/4)) -1))) -1))) (/ 1 (+ x (/ y (+ (* x (* y 1/2)) 1)))))
0.0ms	x	@	inf	(/ 1 (+ (* y (- (* -1/4 (* x (* x y))) x)) -1))
0.0ms	y	@	-inf	(* (+ (* x x) (/ (* y y) (+ (* y (* x (+ (* y (* x -1/4)) -1))) -1))) (/ 1 (+ x (/ y (+ (* x (* y 1/2)) 1)))))
0.0ms	x	@	0	(* (+ (* x x) (/ (* y y) (+ (* y (* x (+ (* y (* x -1/4)) -1))) -1))) (/ 1 (+ x (/ y (+ (* x (* y 1/2)) 1)))))
0.0ms	x	@	0	(/ -2 (* x x))

rewrite453.0ms (1.5%)

Memory

14.4MiB live, 721.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 140×	`-lowering-.f32`
4 140×	`-lowering-.f64`
3 916×	`/-lowering-/.f32`
3 916×	`/-lowering-/.f64`
3 546×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	238
1	290	238
2	2714	238
0	8344	211

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 743

Calls

Call 1

Inputs
(- x (/ 1 (+ (* x 1/2) (/ 1 y))))
(/ 1 (+ (* x 1/2) (/ 1 y)))
(+ (* x 1/2) (/ 1 y))
(/ 1 y)
(- x (/ 2 x))
(/ 2 x)
(+ (* x (/ -2 (* x x))) x)
(/ -2 (* x x))
(* x x)
(* (+ (* x x) (/ (* y y) (+ (* y (* x (+ (* y (* x -1/4)) -1))) -1))) (/ 1 (+ x (/ y (+ (* x (* y 1/2)) 1)))))
(+ (* x x) (/ (* y y) (+ (* y (* x (+ (* y (* x -1/4)) -1))) -1)))
(* y y)
(+ (* y (* x (+ (* y (* x -1/4)) -1))) -1)
(* (+ (* (/ 1 (+ (* y (- (* -1/4 (* x (* x y))) x)) -1)) (* y y)) (* x x)) (/ 1 (+ x (/ y (+ (* x (* y 1/2)) 1)))))
(+ (* (/ 1 (+ (* y (- (* -1/4 (* x (* x y))) x)) -1)) (* y y)) (* x x))
(- (* -1/4 (* x (* x y))) x)
(/ 1 (+ (* y (- (* -1/4 (* x (* x y))) x)) -1))
(/ (* y y) (+ (* y (* x (+ (* y (* x -1/4)) -1))) -1))
(/ y (+ (* x (* y 1/2)) 1))
(+ (* y (- (* -1/4 (* x (* x y))) x)) -1)

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

simplify533.0ms (1.8%)

Memory

11.2MiB live, 843.6MiB allocated

Algorithm

1×	egg-herbie

Rules

7 280×	`accelerator-lowering-fma.f32`
7 280×	`accelerator-lowering-fma.f64`
4 752×	`-lowering-.f32`
4 752×	`-lowering-.f64`
3 628×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	651	7133
1	2156	6900
2	7045	6865
0	8179	6522

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 396

Calls

Call 1

Inputs
(* -1 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
x
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
x
(+ x (* -1 y))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
y
(+ y (* -1/2 (* x (pow y 2))))
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))
(/ 2 x)
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
(/ 2 x)
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
y
(* y (+ 1 (* -1/2 (* x y))))
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))
(/ 2 x)
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(/ 2 x)
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))
(/ 1 y)
(+ (* 1/2 x) (/ 1 y))
(+ (* 1/2 x) (/ 1 y))
(+ (* 1/2 x) (/ 1 y))
(* 1/2 x)
(* x (+ 1/2 (/ 1 (* x y))))
(* x (+ 1/2 (/ 1 (* x y))))
(* x (+ 1/2 (/ 1 (* x y))))
(* 1/2 x)
(* x (+ 1/2 (/ 1 (* x y))))
(* x (+ 1/2 (/ 1 (* x y))))
(* x (+ 1/2 (/ 1 (* x y))))
(/ 1 y)
(/ (+ 1 (* 1/2 (* x y))) y)
(/ (+ 1 (* 1/2 (* x y))) y)
(/ (+ 1 (* 1/2 (* x y))) y)
(* 1/2 x)
(+ (* 1/2 x) (/ 1 y))
(+ (* 1/2 x) (/ 1 y))
(+ (* 1/2 x) (/ 1 y))
(* 1/2 x)
(+ (* 1/2 x) (/ 1 y))
(+ (* 1/2 x) (/ 1 y))
(+ (* 1/2 x) (/ 1 y))
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ -2 x)
(/ (- (pow x 2) 2) x)
(/ (- (pow x 2) 2) x)
(/ (- (pow x 2) 2) x)
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
x
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ -2 x)
(/ (- (pow x 2) 2) x)
(/ (- (pow x 2) 2) x)
(/ (- (pow x 2) 2) x)
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
x
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1 y)
(+ (* -1 y) (* x (- (pow y 2) (* -1 (- 1 (* 1/2 (pow y 2)))))))
(+ (* -1 y) (* x (- (+ (* x (- (/ 1 y) (+ (* -1/2 (pow y 3)) (+ (/ (* (- 1 (* 1/2 (pow y 2))) (- (pow y 2) (* -1 (- 1 (* 1/2 (pow y 2)))))) y) (pow y 3))))) (pow y 2)) (* -1 (- 1 (* 1/2 (pow y 2)))))))
(+ (* -1 y) (* x (- (+ (* x (- (+ (* x (- (* -1 (/ (+ (* -1 (* y (+ (* -1/4 (pow y 4)) (pow y 4)))) (* 1/4 (pow y 5))) y)) (+ (* 1/8 (pow y 4)) (+ (* 1/4 (* (pow y 2) (- (pow y 2) (* -1 (- 1 (* 1/2 (pow y 2))))))) (/ (* (- 1 (* 1/2 (pow y 2))) (- (/ 1 y) (+ (* -1/2 (pow y 3)) (+ (/ (* (- 1 (* 1/2 (pow y 2))) (- (pow y 2) (* -1 (- 1 (* 1/2 (pow y 2)))))) y) (pow y 3))))) y))))) (/ 1 y)) (+ (* -1/2 (pow y 3)) (+ (/ (* (- 1 (* 1/2 (pow y 2))) (- (pow y 2) (* -1 (- 1 (* 1/2 (pow y 2)))))) y) (pow y 3))))) (pow y 2)) (* -1 (- 1 (* 1/2 (pow y 2)))))))
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
x
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
x
(+ x (* -1 y))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+ x (* y (- (* y (- (* -1/4 (* (pow x 2) y)) (* -1/2 x))) 1)))
(/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (+ x (* 2 (/ 1 x))))
(- (+ (/ 16 (* (pow x 3) (* y (+ x (* 2 (/ 1 x)))))) (/ (pow x 2) (+ x (* 2 (/ 1 x))))) (+ (* -4 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 2) (* y (pow (+ x (* 2 (/ 1 x))) 2))))) (/ 4 (* (pow x 2) (+ x (* 2 (/ 1 x)))))))
(- (+ (* -1 (/ (+ (* -4 (/ (- (* 16 (/ 1 (* (pow x 3) (+ x (* 2 (/ 1 x)))))) (* -4 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 2))))) (* (pow x 2) (+ x (* 2 (/ 1 x)))))) (+ (* 8 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 3) (pow (+ x (* 2 (/ 1 x))) 2)))) (* 48 (/ 1 (* (pow x 4) (+ x (* 2 (/ 1 x)))))))) (pow y 2))) (+ (/ 16 (* (pow x 3) (* y (+ x (* 2 (/ 1 x)))))) (/ (pow x 2) (+ x (* 2 (/ 1 x)))))) (+ (* -4 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 2) (* y (pow (+ x (* 2 (/ 1 x))) 2))))) (/ 4 (* (pow x 2) (+ x (* 2 (/ 1 x)))))))
(- (+ (/ 16 (* (pow x 3) (* y (+ x (* 2 (/ 1 x)))))) (+ (/ 128 (* (pow x 5) (* (pow y 3) (+ x (* 2 (/ 1 x)))))) (/ (pow x 2) (+ x (* 2 (/ 1 x)))))) (+ (* -16 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 4) (* (pow y 3) (pow (+ x (* 2 (/ 1 x))) 2))))) (+ (* -4 (/ (- (* 16 (/ 1 (* (pow x 3) (+ x (* 2 (/ 1 x)))))) (* -4 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 2))))) (* (pow x 2) (* (pow y 2) (+ x (* 2 (/ 1 x))))))) (+ (* -4 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 2) (* y (pow (+ x (* 2 (/ 1 x))) 2))))) (+ (* 4 (/ (+ (* -4 (/ (- (* 16 (/ 1 (* (pow x 3) (+ x (* 2 (/ 1 x)))))) (* -4 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 2))))) (* (pow x 2) (+ x (* 2 (/ 1 x)))))) (+ (* 8 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 3) (pow (+ x (* 2 (/ 1 x))) 2)))) (* 48 (/ 1 (* (pow x 4) (+ x (* 2 (/ 1 x)))))))) (* (pow x 2) (* (pow y 3) (+ x (* 2 (/ 1 x))))))) (+ (* 8 (/ (- (* 16 (/ 1 (* (pow x 3) (+ x (* 2 (/ 1 x)))))) (* -4 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 2))))) (* (pow x 3) (* (pow y 3) (+ x (* 2 (/ 1 x))))))) (+ (* 8 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 3) (* (pow y 2) (pow (+ x (* 2 (/ 1 x))) 2))))) (+ (* 48 (/ 1 (* (pow x 4) (* (pow y 2) (+ x (* 2 (/ 1 x))))))) (/ 4 (* (pow x 2) (+ x (* 2 (/ 1 x)))))))))))))
(/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (+ x (* 2 (/ 1 x))))
(- (+ (* 4 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 2) (* y (pow (+ x (* 2 (/ 1 x))) 2))))) (+ (/ 16 (* (pow x 3) (* y (+ x (* 2 (/ 1 x)))))) (/ (pow x 2) (+ x (* 2 (/ 1 x)))))) (/ 4 (* (pow x 2) (+ x (* 2 (/ 1 x))))))
(- (+ (* -1 (/ (- (+ (* -4 (/ (+ (* 4 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 2)))) (* 16 (/ 1 (* (pow x 3) (+ x (* 2 (/ 1 x))))))) (* (pow x 2) (* y (+ x (* 2 (/ 1 x))))))) (+ (* 8 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 3) (* y (pow (+ x (* 2 (/ 1 x))) 2))))) (/ 48 (* (pow x 4) (* y (+ x (* 2 (/ 1 x)))))))) (+ (* 4 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 2)))) (* 16 (/ 1 (* (pow x 3) (+ x (* 2 (/ 1 x)))))))) y)) (/ (pow x 2) (+ x (* 2 (/ 1 x))))) (/ 4 (* (pow x 2) (+ x (* 2 (/ 1 x))))))
(- (+ (* -1 (/ (- (* -1 (/ (- (+ (* -8 (/ (+ (* 4 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 2)))) (* 16 (/ 1 (* (pow x 3) (+ x (* 2 (/ 1 x))))))) (* (pow x 3) (* y (+ x (* 2 (/ 1 x))))))) (+ (* -4 (/ (+ (* -4 (/ (+ (* 4 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 2)))) (* 16 (/ 1 (* (pow x 3) (+ x (* 2 (/ 1 x))))))) (* (pow x 2) (+ x (* 2 (/ 1 x)))))) (+ (* 8 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 3) (pow (+ x (* 2 (/ 1 x))) 2)))) (* 48 (/ 1 (* (pow x 4) (+ x (* 2 (/ 1 x)))))))) (* (pow x 2) (* y (+ x (* 2 (/ 1 x))))))) (+ (* 16 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 4) (* y (pow (+ x (* 2 (/ 1 x))) 2))))) (/ 128 (* (pow x 5) (* y (+ x (* 2 (/ 1 x))))))))) (+ (* -4 (/ (+ (* 4 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 2)))) (* 16 (/ 1 (* (pow x 3) (+ x (* 2 (/ 1 x))))))) (* (pow x 2) (+ x (* 2 (/ 1 x)))))) (+ (* 8 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 3) (pow (+ x (* 2 (/ 1 x))) 2)))) (* 48 (/ 1 (* (pow x 4) (+ x (* 2 (/ 1 x))))))))) y)) (+ (* 4 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 2)))) (* 16 (/ 1 (* (pow x 3) (+ x (* 2 (/ 1 x)))))))) y)) (/ (pow x 2) (+ x (* 2 (/ 1 x))))) (/ 4 (* (pow x 2) (+ x (* 2 (/ 1 x))))))
(* -1 (pow y 2))
(+ (* -1 (pow y 2)) (* x (pow y 3)))
(+ (* -1 (pow y 2)) (* x (- (* x (- 1 (+ (* -1/4 (pow y 4)) (pow y 4)))) (* -1 (pow y 3)))))
(+ (* -1 (pow y 2)) (* x (- (* x (- (+ 1 (* -1 (* x (+ (* -1 (* y (+ (* -1/4 (pow y 4)) (pow y 4)))) (* 1/4 (pow y 5)))))) (+ (* -1/4 (pow y 4)) (pow y 4)))) (* -1 (pow y 3)))))
(pow x 2)
(* (pow x 2) (- 1 (* 4 (/ 1 (pow x 4)))))
(* (pow x 2) (- (+ 1 (/ 16 (* (pow x 5) y))) (* 4 (/ 1 (pow x 4)))))
(* (pow x 2) (- (+ 1 (* 16 (/ 1 (* (pow x 5) y)))) (+ (* 48 (/ 1 (* (pow x 6) (pow y 2)))) (* 4 (/ 1 (pow x 4))))))
(pow x 2)
(* (pow x 2) (- 1 (* 4 (/ 1 (pow x 4)))))
(* (pow x 2) (- (+ 1 (/ 16 (* (pow x 5) y))) (* 4 (/ 1 (pow x 4)))))
(* (pow x 2) (- (+ 1 (* -1 (/ (- (* 48 (/ 1 (* x (pow y 2)))) (* 16 (/ 1 y))) (pow x 5)))) (* 4 (/ 1 (pow x 4)))))
(pow x 2)
(+ (* -1 (pow y 2)) (pow x 2))
(+ (* (pow y 2) (- (* x y) 1)) (pow x 2))
(+ (* (pow y 2) (- (* y (- (* -1 (* y (+ (* -1/4 (pow x 2)) (pow x 2)))) (* -1 x))) 1)) (pow x 2))
(- (pow x 2) (* 4 (/ 1 (pow x 2))))
(- (+ (* 16 (/ 1 (* (pow x 3) y))) (pow x 2)) (* 4 (/ 1 (pow x 2))))
(- (+ (/ 16 (* (pow x 3) y)) (pow x 2)) (+ (* 4 (/ 1 (pow x 2))) (/ 48 (* (pow x 4) (pow y 2)))))
(- (+ (* 128 (/ 1 (* (pow x 5) (pow y 3)))) (+ (/ 16 (* (pow x 3) y)) (pow x 2))) (+ (* 4 (/ 1 (pow x 2))) (* 48 (/ 1 (* (pow x 4) (pow y 2))))))
(- (pow x 2) (* 4 (/ 1 (pow x 2))))
(- (+ (* 16 (/ 1 (* (pow x 3) y))) (pow x 2)) (* 4 (/ 1 (pow x 2))))
(- (+ (* -1 (/ (- (* 48 (/ 1 (* (pow x 4) y))) (* 16 (/ 1 (pow x 3)))) y)) (pow x 2)) (* 4 (/ 1 (pow x 2))))
(- (+ (* -1 (/ (- (* -1 (/ (- (* 128 (/ 1 (* (pow x 5) y))) (* 48 (/ 1 (pow x 4)))) y)) (* 16 (/ 1 (pow x 3)))) y)) (pow x 2)) (* 4 (/ 1 (pow x 2))))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
-1
(- (* -1 (* x y)) 1)
(- (* y (+ (* -1 x) (* -1/4 (* (pow x 2) y)))) 1)
(- (* y (+ (* -1 x) (* -1/4 (* (pow x 2) y)))) 1)
(* -1/4 (* (pow x 2) (pow y 2)))
(* (pow y 2) (+ (* -1 (/ x y)) (* -1/4 (pow x 2))))
(* (pow y 2) (- (+ (* -1 (/ x y)) (* -1/4 (pow x 2))) (/ 1 (pow y 2))))
(* (pow y 2) (- (+ (* -1 (/ x y)) (* -1/4 (pow x 2))) (/ 1 (pow y 2))))
(* -1/4 (* (pow x 2) (pow y 2)))
(* (pow y 2) (+ (* -1 (/ x y)) (* -1/4 (pow x 2))))
(* (pow y 2) (+ (* -1 (/ (+ x (/ 1 y)) y)) (* -1/4 (pow x 2))))
(* (pow y 2) (+ (* -1 (/ (+ x (/ 1 y)) y)) (* -1/4 (pow x 2))))
-1
(- (* -1 (* x y)) 1)
(- (* x (+ (* -1 y) (* -1/4 (* x (pow y 2))))) 1)
(- (* x (+ (* -1 y) (* -1/4 (* x (pow y 2))))) 1)
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(* -1/4 (* (pow x 2) (pow y 2)))
(* (pow x 2) (+ (* -1 (/ y x)) (* -1/4 (pow y 2))))
(* (pow x 2) (+ (* -1 (/ (+ y (/ 1 x)) x)) (* -1/4 (pow y 2))))
(* (pow x 2) (+ (* -1 (/ (+ y (/ 1 x)) x)) (* -1/4 (pow y 2))))
x
(+ x (* -1 y))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+ x (* y (- (* y (- (* -1/4 (* (pow x 2) y)) (* -1/2 x))) 1)))
(/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (+ x (* 2 (/ 1 x))))
(- (+ (/ 16 (* (pow x 3) (* y (+ x (* 2 (/ 1 x)))))) (/ (pow x 2) (+ x (* 2 (/ 1 x))))) (+ (* -4 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 2) (* y (pow (+ x (* 2 (/ 1 x))) 2))))) (/ 4 (* (pow x 2) (+ x (* 2 (/ 1 x)))))))
(- (+ (* -1 (/ (+ (* -4 (/ (- (* 16 (/ 1 (* (pow x 3) (+ x (* 2 (/ 1 x)))))) (* -4 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 2))))) (* (pow x 2) (+ x (* 2 (/ 1 x)))))) (+ (* 8 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 3) (pow (+ x (* 2 (/ 1 x))) 2)))) (* 48 (/ 1 (* (pow x 4) (+ x (* 2 (/ 1 x)))))))) (pow y 2))) (+ (/ 16 (* (pow x 3) (* y (+ x (* 2 (/ 1 x)))))) (/ (pow x 2) (+ x (* 2 (/ 1 x)))))) (+ (* -4 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 2) (* y (pow (+ x (* 2 (/ 1 x))) 2))))) (/ 4 (* (pow x 2) (+ x (* 2 (/ 1 x)))))))
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(/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (+ x (* 2 (/ 1 x))))
(- (+ (* 4 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 2) (* y (pow (+ x (* 2 (/ 1 x))) 2))))) (+ (/ 16 (* (pow x 3) (* y (+ x (* 2 (/ 1 x)))))) (/ (pow x 2) (+ x (* 2 (/ 1 x)))))) (/ 4 (* (pow x 2) (+ x (* 2 (/ 1 x))))))
(- (+ (* -1 (/ (- (+ (* -4 (/ (+ (* 4 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 2)))) (* 16 (/ 1 (* (pow x 3) (+ x (* 2 (/ 1 x))))))) (* (pow x 2) (* y (+ x (* 2 (/ 1 x))))))) (+ (* 8 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 3) (* y (pow (+ x (* 2 (/ 1 x))) 2))))) (/ 48 (* (pow x 4) (* y (+ x (* 2 (/ 1 x)))))))) (+ (* 4 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 2)))) (* 16 (/ 1 (* (pow x 3) (+ x (* 2 (/ 1 x)))))))) y)) (/ (pow x 2) (+ x (* 2 (/ 1 x))))) (/ 4 (* (pow x 2) (+ x (* 2 (/ 1 x))))))
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(* -1 y)
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(+ (* -1 y) (* x (- (+ (* x (- (/ 1 y) (+ (* -1/2 (pow y 3)) (+ (/ (* (- 1 (* 1/2 (pow y 2))) (- (pow y 2) (* -1 (- 1 (* 1/2 (pow y 2)))))) y) (pow y 3))))) (pow y 2)) (* -1 (- 1 (* 1/2 (pow y 2)))))))
(+ (* -1 y) (* x (- (+ (* x (- (+ (* x (- (* -1 (/ (+ (* -1 (* y (+ (* -1/4 (pow y 4)) (pow y 4)))) (* 1/4 (pow y 5))) y)) (+ (* 1/8 (pow y 4)) (+ (* 1/4 (* (pow y 2) (- (pow y 2) (* -1 (- 1 (* 1/2 (pow y 2))))))) (/ (* (- 1 (* 1/2 (pow y 2))) (- (/ 1 y) (+ (* -1/2 (pow y 3)) (+ (/ (* (- 1 (* 1/2 (pow y 2))) (- (pow y 2) (* -1 (- 1 (* 1/2 (pow y 2)))))) y) (pow y 3))))) y))))) (/ 1 y)) (+ (* -1/2 (pow y 3)) (+ (/ (* (- 1 (* 1/2 (pow y 2))) (- (pow y 2) (* -1 (- 1 (* 1/2 (pow y 2)))))) y) (pow y 3))))) (pow y 2)) (* -1 (- 1 (* 1/2 (pow y 2)))))))
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
x
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
(pow x 2)
(+ (* -1 (pow y 2)) (pow x 2))
(+ (* (pow y 2) (- (* x y) 1)) (pow x 2))
(+ (* (pow y 2) (- (* y (- (* -1 (* y (+ (* -1/4 (pow x 2)) (pow x 2)))) (* -1 x))) 1)) (pow x 2))
(- (pow x 2) (* 4 (/ 1 (pow x 2))))
(- (+ (* 16 (/ 1 (* (pow x 3) y))) (pow x 2)) (* 4 (/ 1 (pow x 2))))
(- (+ (/ 16 (* (pow x 3) y)) (pow x 2)) (+ (* 4 (/ 1 (pow x 2))) (/ 48 (* (pow x 4) (pow y 2)))))
(- (+ (* 128 (/ 1 (* (pow x 5) (pow y 3)))) (+ (/ 16 (* (pow x 3) y)) (pow x 2))) (+ (* 4 (/ 1 (pow x 2))) (* 48 (/ 1 (* (pow x 4) (pow y 2))))))
(- (pow x 2) (* 4 (/ 1 (pow x 2))))
(- (+ (* 16 (/ 1 (* (pow x 3) y))) (pow x 2)) (* 4 (/ 1 (pow x 2))))
(- (+ (* -1 (/ (- (* 48 (/ 1 (* (pow x 4) y))) (* 16 (/ 1 (pow x 3)))) y)) (pow x 2)) (* 4 (/ 1 (pow x 2))))
(- (+ (* -1 (/ (- (* -1 (/ (- (* 128 (/ 1 (* (pow x 5) y))) (* 48 (/ 1 (pow x 4)))) y)) (* 16 (/ 1 (pow x 3)))) y)) (pow x 2)) (* 4 (/ 1 (pow x 2))))
(* -1 (pow y 2))
(+ (* -1 (pow y 2)) (* x (pow y 3)))
(+ (* -1 (pow y 2)) (* x (- (* x (- 1 (+ (* -1/4 (pow y 4)) (pow y 4)))) (* -1 (pow y 3)))))
(+ (* -1 (pow y 2)) (* x (- (* x (- (+ 1 (* -1 (* x (+ (* -1 (* y (+ (* -1/4 (pow y 4)) (pow y 4)))) (* 1/4 (pow y 5)))))) (+ (* -1/4 (pow y 4)) (pow y 4)))) (* -1 (pow y 3)))))
(pow x 2)
(* (pow x 2) (- 1 (* 4 (/ 1 (pow x 4)))))
(* (pow x 2) (- (+ 1 (/ 16 (* (pow x 5) y))) (* 4 (/ 1 (pow x 4)))))
(* (pow x 2) (- (+ 1 (* 16 (/ 1 (* (pow x 5) y)))) (+ (* 48 (/ 1 (* (pow x 6) (pow y 2)))) (* 4 (/ 1 (pow x 4))))))
(pow x 2)
(* (pow x 2) (- 1 (* 4 (/ 1 (pow x 4)))))
(* (pow x 2) (- (+ 1 (/ 16 (* (pow x 5) y))) (* 4 (/ 1 (pow x 4)))))
(* (pow x 2) (- (+ 1 (* -1 (/ (- (* 48 (/ 1 (* x (pow y 2)))) (* 16 (/ 1 y))) (pow x 5)))) (* 4 (/ 1 (pow x 4)))))
(* -1 x)
(* x (- (* -1/4 (* x y)) 1))
(* x (- (* -1/4 (* x y)) 1))
(* x (- (* -1/4 (* x y)) 1))
(* -1/4 (* (pow x 2) y))
(* (pow x 2) (- (* -1/4 y) (/ 1 x)))
(* (pow x 2) (- (* -1/4 y) (/ 1 x)))
(* (pow x 2) (- (* -1/4 y) (/ 1 x)))
(* -1/4 (* (pow x 2) y))
(* (pow x 2) (- (* -1/4 y) (/ 1 x)))
(* (pow x 2) (- (* -1/4 y) (/ 1 x)))
(* (pow x 2) (- (* -1/4 y) (/ 1 x)))
(* -1 x)
(- (* -1/4 (* (pow x 2) y)) x)
(- (* -1/4 (* (pow x 2) y)) x)
(- (* -1/4 (* (pow x 2) y)) x)
(* -1/4 (* (pow x 2) y))
(* y (+ (* -1 (/ x y)) (* -1/4 (pow x 2))))
(* y (+ (* -1 (/ x y)) (* -1/4 (pow x 2))))
(* y (+ (* -1 (/ x y)) (* -1/4 (pow x 2))))
(* -1/4 (* (pow x 2) y))
(* -1 (* y (+ (* 1/4 (pow x 2)) (/ x y))))
(* -1 (* y (+ (* 1/4 (pow x 2)) (/ x y))))
(* -1 (* y (+ (* 1/4 (pow x 2)) (/ x y))))
-1
(- (* x y) 1)
(- (* y (- (* -1 (* y (+ (* -1/4 (pow x 2)) (pow x 2)))) (* -1 x))) 1)
(- (* y (- (* y (- (* -1 (* y (+ (* -1 (* x (+ (* -1/4 (pow x 2)) (pow x 2)))) (* 1/4 (pow x 3))))) (+ (* -1/4 (pow x 2)) (pow x 2)))) (* -1 x))) 1)
(/ -4 (* (pow x 2) (pow y 2)))
(/ (- (* 16 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) (pow y 2))
(/ (- (/ 16 (* (pow x 3) y)) (+ (* 4 (/ 1 (pow x 2))) (/ 48 (* (pow x 4) (pow y 2))))) (pow y 2))
(/ (- (+ (* 128 (/ 1 (* (pow x 5) (pow y 3)))) (/ 16 (* (pow x 3) y))) (+ (* 48 (/ 1 (* (pow x 4) (pow y 2)))) (* 4 (/ 1 (pow x 2))))) (pow y 2))
(/ -4 (* (pow x 2) (pow y 2)))
(/ (- (* 16 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) (pow y 2))
(/ (- (* -1 (/ (- (* 48 (/ 1 (* (pow x 4) y))) (* 16 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) (pow y 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (* 128 (/ 1 (* (pow x 5) y))) (* 48 (/ 1 (pow x 4)))) y)) (* 16 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) (pow y 2))
-1
(- (* x y) 1)
(- (* x (- (* -1 (* x (+ (* -1/4 (pow y 2)) (pow y 2)))) (* -1 y))) 1)
(- (* x (- (* x (- (* -1 (* x (+ (* -1 (* y (+ (* -1/4 (pow y 2)) (pow y 2)))) (* 1/4 (pow y 3))))) (+ (* -1/4 (pow y 2)) (pow y 2)))) (* -1 y))) 1)
(/ -4 (* (pow x 2) (pow y 2)))
(/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 4 (/ 1 (pow y 2)))) (pow x 2))
(/ (- (/ 16 (* x (pow y 3))) (+ (* 4 (/ 1 (pow y 2))) (/ 48 (* (pow x 2) (pow y 4))))) (pow x 2))
(/ (- (+ (* 128 (/ 1 (* (pow x 3) (pow y 5)))) (/ 16 (* x (pow y 3)))) (+ (* 48 (/ 1 (* (pow x 2) (pow y 4)))) (* 4 (/ 1 (pow y 2))))) (pow x 2))
(/ -4 (* (pow x 2) (pow y 2)))
(/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 4 (/ 1 (pow y 2)))) (pow x 2))
(/ (- (* -1 (/ (- (* 48 (/ 1 (* x (pow y 4)))) (* 16 (/ 1 (pow y 3)))) x)) (* 4 (/ 1 (pow y 2)))) (pow x 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (* 128 (/ 1 (* x (pow y 5)))) (* 48 (/ 1 (pow y 4)))) x)) (* 16 (/ 1 (pow y 3)))) x)) (* 4 (/ 1 (pow y 2)))) (pow x 2))
(* -1 (pow y 2))
(* (pow y 2) (- (* x y) 1))
(* (pow y 2) (- (* y (- (* -1 (* y (+ (* -1/4 (pow x 2)) (pow x 2)))) (* -1 x))) 1))
(* (pow y 2) (- (* y (- (* y (- (* -1 (* y (+ (* -1 (* x (+ (* -1/4 (pow x 2)) (pow x 2)))) (* 1/4 (pow x 3))))) (+ (* -1/4 (pow x 2)) (pow x 2)))) (* -1 x))) 1))
(/ -4 (pow x 2))
(- (* 16 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2))))
(- (/ 16 (* (pow x 3) y)) (+ (* 4 (/ 1 (pow x 2))) (/ 48 (* (pow x 4) (pow y 2)))))
(- (+ (* 128 (/ 1 (* (pow x 5) (pow y 3)))) (/ 16 (* (pow x 3) y))) (+ (* 48 (/ 1 (* (pow x 4) (pow y 2)))) (* 4 (/ 1 (pow x 2)))))
(/ -4 (pow x 2))
(- (* 16 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2))))
(- (* -1 (/ (- (* 48 (/ 1 (* (pow x 4) y))) (* 16 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2))))
(- (* -1 (/ (- (* -1 (/ (- (* 128 (/ 1 (* (pow x 5) y))) (* 48 (/ 1 (pow x 4)))) y)) (* 16 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2))))
(* -1 (pow y 2))
(+ (* -1 (pow y 2)) (* x (pow y 3)))
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(+ (* -1 (pow y 2)) (* x (- (* x (- (* -1 (* x (+ (* -1 (* y (+ (* -1/4 (pow y 4)) (pow y 4)))) (* 1/4 (pow y 5))))) (+ (* -1/4 (pow y 4)) (pow y 4)))) (* -1 (pow y 3)))))
(/ -4 (pow x 2))
(/ (- (* 16 (/ 1 (* x y))) 4) (pow x 2))
(/ (- (/ 16 (* x y)) (+ 4 (/ 48 (* (pow x 2) (pow y 2))))) (pow x 2))
(/ (- (+ (* 128 (/ 1 (* (pow x 3) (pow y 3)))) (/ 16 (* x y))) (+ 4 (* 48 (/ 1 (* (pow x 2) (pow y 2)))))) (pow x 2))
(/ -4 (pow x 2))
(/ (- (* 16 (/ 1 (* x y))) 4) (pow x 2))
(/ (- (* -1 (/ (- (* 48 (/ 1 (* x (pow y 2)))) (* 16 (/ 1 y))) x)) 4) (pow x 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (* 128 (/ 1 (* x (pow y 3)))) (* 48 (/ 1 (pow y 2)))) x)) (* 16 (/ 1 y))) x)) 4) (pow x 2))
y
(* y (+ 1 (* -1/2 (* x y))))
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))
(/ 2 x)
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(/ 2 x)
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))
y
(+ y (* -1/2 (* x (pow y 2))))
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))
(/ 2 x)
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
(/ 2 x)
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
-1
(- (* -1 (* x y)) 1)
(- (* y (+ (* -1 x) (* -1/4 (* (pow x 2) y)))) 1)
(- (* y (+ (* -1 x) (* -1/4 (* (pow x 2) y)))) 1)
(* -1/4 (* (pow x 2) (pow y 2)))
(* (pow y 2) (+ (* -1 (/ x y)) (* -1/4 (pow x 2))))
(* (pow y 2) (+ (* -1 (/ (+ x (/ 1 y)) y)) (* -1/4 (pow x 2))))
(* (pow y 2) (+ (* -1 (/ (+ x (/ 1 y)) y)) (* -1/4 (pow x 2))))
(* -1/4 (* (pow x 2) (pow y 2)))
(* (pow y 2) (+ (* -1 (/ x y)) (* -1/4 (pow x 2))))
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(* (pow y 2) (+ (* -1 (/ (+ x (/ 1 y)) y)) (* -1/4 (pow x 2))))
-1
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(- (* x (+ (* -1 y) (* -1/4 (* x (pow y 2))))) 1)
(- (* x (+ (* -1 y) (* -1/4 (* x (pow y 2))))) 1)
(* -1/4 (* (pow x 2) (pow y 2)))
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(* (pow x 2) (- (+ (* -1 (/ y x)) (* -1/4 (pow y 2))) (/ 1 (pow x 2))))
(* (pow x 2) (- (+ (* -1 (/ y x)) (* -1/4 (pow y 2))) (/ 1 (pow x 2))))
(* -1/4 (* (pow x 2) (pow y 2)))
(* (pow x 2) (+ (* -1 (/ y x)) (* -1/4 (pow y 2))))
(* (pow x 2) (+ (* -1 (/ (+ y (/ 1 x)) x)) (* -1/4 (pow y 2))))
(* (pow x 2) (+ (* -1 (/ (+ y (/ 1 x)) x)) (* -1/4 (pow y 2))))

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

eval571.0ms (1.9%)

Memory: -52.9MiB live, 420.2MiB allocated
Compiler: Compiled 52 481 to 2 697 computations (94.9% saved)

prune157.0ms (0.5%)

Memory

-24.1MiB live, 295.4MiB allocated

Pruning

15 alts after pruning (5 fresh and 10 done)

	Pruned	Kept	Total
New	1 220	4	1 224
Fresh	3	1	4
Picked	2	3	5
Done	0	7	7
Total	1 225	15	1 240

Accuracy

100.0%

Counts

1 240 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))) y x)
✓	59.8%	(fma.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) x)
✓	61.0%	(fma.f64 x (/.f64 #s(literal -2 binary64) (*.f64 x x)) x)
	60.9%	(/.f64 (fma.f64 y (/.f64 y (fma.f64 x (.f64 y (fma.f64 x (.f64 y #s(literal -1/4 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))) (.f64 x x)) (+.f64 x (/.f64 y (fma.f64 x (.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)))))
	29.5%	(/.f64 (-.f64 (/.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 (fma.f64 x (.f64 y (fma.f64 x (.f64 y #s(literal -1/4 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) (fma.f64 x (.f64 y (fma.f64 x (.f64 y #s(literal -1/4 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (+.f64 x (/.f64 y (fma.f64 x (.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)))) (-.f64 (/.f64 (.f64 y y) (fma.f64 x (.f64 y (fma.f64 x (.f64 y #s(literal -1/4 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))) (*.f64 x x))))
	15.8%	(/.f64 #s(literal -2 binary64) x)
✓	53.1%	(-.f64 x (fma.f64 x (.f64 (.f64 y y) (fma.f64 x (*.f64 y #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) y))
✓	58.1%	(-.f64 x (fma.f64 x (.f64 (.f64 y y) #s(literal -1/2 binary64)) y))
✓	99.9%	(-.f64 x (/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64))))
✓	63.4%	(-.f64 x (/.f64 #s(literal 2 binary64) x))
✓	99.9%	(-.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
✓	72.2%	(-.f64 x y)
	53.5%	(.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (.f64 y #s(literal -1/4 binary64)) #s(literal -1 binary64)) (.f64 x y) #s(literal -1 binary64))) (.f64 y y) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y (fma.f64 x (.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
	67.7%	(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y x)))
✓	61.2%	x

Compiler

Compiled 1 170 to 300 computations (74.4% saved)

regimes31.0ms (0.1%)

Memory

26.7MiB live, 65.2MiB allocated

Counts

32 → 1

Calls

Call 1

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

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

Calls

3 calls:

11.0ms	y
9.0ms	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
9.0ms	x

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes12.0ms (0%)

Memory

-2.3MiB live, 35.5MiB allocated

Counts

8 → 3

Calls

Call 1

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

Outputs
(-.f64 x (/.f64 #s(literal 2 binary64) x))
(-.f64 x y)
(-.f64 x (/.f64 #s(literal 2 binary64) x))

Calls

3 calls:

5.0ms	y
3.0ms	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
3.0ms	x

Results

Accuracy	Segments	Branch
88.7%	3	`x`
93.7%	3	`y`
88.3%	3	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes12.0ms (0%)

Memory

-15.0MiB live, 26.0MiB allocated

Counts

3 → 4

Calls

Call 1

Inputs
x
(-.f64 x y)
(/.f64 #s(literal -2 binary64) x)

Outputs
x
(/.f64 #s(literal -2 binary64) x)
(-.f64 x y)
x

Calls

3 calls:

7.0ms	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
77.5%	3	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`
87.9%	4	`x`
83.4%	3	`y`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes2.0ms (0%)

Memory

5.4MiB live, 5.4MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs
x
(-.f64 x y)

Outputs
x
(-.f64 x y)
x

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
84.5%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Memory

13.1MiB live, 13.1MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

3 calls:

1.0ms	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
61.2%	1	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`
61.2%	1	`y`
61.2%	1	`x`

Compiler

Compiled 19 to 13 computations (31.6% saved)

bsearch43.0ms (0.1%)

Memory

-21.3MiB live, 53.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	3.5574727468270674e+106	3.3241437305669896e+109
16.0ms	-1.7025398758243353e+97	-5.377298841924252e+82

Samples

16.0ms

288×

valid

Compiler

Compiled 268 to 194 computations (27.6% saved)

Precisions

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

ival-div: 4.0ms (43% of total)

ival-mult: 2.0ms (21.5% of total)

ival-sub: 1.0ms (10.7% of total)

ival-add: 1.0ms (10.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch66.0ms (0.2%)

Memory

14.8MiB live, 51.6MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
39.0ms	0.7590173466182463	213.8767262809926
12.0ms	-1.6053939180576458e-98	-3.2551063374405133e-105
11.0ms	-0.00010249794569022413	-1.4868601691131453e-7

Samples

22.0ms

400×

valid

Compiler

Compiled 284 to 215 computations (24.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-div: 5.0ms (39.6% of total)

ival-mult: 3.0ms (23.7% of total)

ival-sub: 2.0ms (15.8% of total)

ival-add: 2.0ms (15.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch29.0ms (0.1%)

Memory

2.1MiB live, 40.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	0.7590173466182463	213.8767262809926
8.0ms	-42741305089.79275	-3525878495.015161

Samples

12.0ms

224×

valid

Compiler

Compiled 156 to 112 computations (28.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-div: 3.0ms (41.9% of total)

ival-mult: 2.0ms (28% of total)

ival-sub: 1.0ms (14% of total)

ival-add: 1.0ms (14% of total)

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

exact: 0.0ms (0% of total)

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

simplify11.0ms (0%)

Memory

19.5MiB live, 19.5MiB allocated

Algorithm

1×	egg-herbie

Rules

18×	`+-commutative_binary64`
18×	`sub-neg_binary64`
14×	`*-commutative_binary64`
12×	`neg-sub0_binary64`
12×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	61
1	51	61
2	68	61
3	80	61
4	89	61
5	92	61

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 x (/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -16000000000000000924265758369854347238996274033537026193568669811755397344270793834496 binary64)) (-.f64 x (/.f64 #s(literal 2 binary64) x)) (if (<=.f64 y #s(literal 58000000000000004057866359120677578845638918674551323684082616574515486411353468469865464707739326995234816 binary64)) (-.f64 x y) (-.f64 x (/.f64 #s(literal 2 binary64) x))))
(if (<=.f64 x #s(literal -1369486280032197/2361183241434822606848 binary64)) x (if (<=.f64 x #s(literal -17796316275227/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848 binary64)) (/.f64 #s(literal -2 binary64) x) (if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) (-.f64 x y) x)))
(if (<=.f64 x #s(literal -3600000000 binary64)) x (if (<=.f64 x #s(literal 799388933858263/562949953421312 binary64)) (-.f64 x y) x))
x

Outputs
(-.f64 x (/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -16000000000000000924265758369854347238996274033537026193568669811755397344270793834496 binary64)) (-.f64 x (/.f64 #s(literal 2 binary64) x)) (if (<=.f64 y #s(literal 58000000000000004057866359120677578845638918674551323684082616574515486411353468469865464707739326995234816 binary64)) (-.f64 x y) (-.f64 x (/.f64 #s(literal 2 binary64) x))))
(if (<=.f64 x #s(literal -1369486280032197/2361183241434822606848 binary64)) x (if (<=.f64 x #s(literal -17796316275227/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848 binary64)) (/.f64 #s(literal -2 binary64) x) (if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) (-.f64 x y) x)))
(if (<=.f64 x #s(literal -3600000000 binary64)) x (if (<=.f64 x #s(literal 799388933858263/562949953421312 binary64)) (-.f64 x y) x))
x

soundness567.0ms (1.9%)

Memory

10.4MiB live, 461.8MiB allocated

Rules

13 558×	`accelerator-lowering-fma.f32`
13 558×	`accelerator-lowering-fma.f64`
7 280×	`accelerator-lowering-fma.f32`
7 280×	`accelerator-lowering-fma.f64`
5 754×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	651	7133
1	2156	6900
2	7045	6865
0	8179	6522
0	9	35
1	58	35
2	495	35
3	6876	35
0	8530	32
0	231	1053
1	738	1018
2	1942	987
3	6081	981
0	8428	934

Stop Event

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

Compiler

Compiled 122 to 72 computations (41% saved)

preprocess35.0ms (0.1%)

Memory: 27.0MiB live, 105.4MiB allocated
Compiler: Compiled 160 to 88 computations (45% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze9.7s (32.3%)

sample10.9s (36.2%)

preprocess84.0ms (0.3%)

explain116.0ms (0.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify36.0ms (0.1%)

localize53.0ms (0.2%)

series9.0ms (0%)

rewrite381.0ms (1.3%)

simplify508.0ms (1.7%)

eval49.0ms (0.2%)

prune50.0ms (0.2%)

simplify386.0ms (1.3%)

localize113.0ms (0.4%)

series30.0ms (0.1%)

rewrite821.0ms (2.7%)

simplify1.2s (4.1%)

eval549.0ms (1.8%)

prune240.0ms (0.8%)

simplify278.0ms (0.9%)

localize209.0ms (0.7%)

series22.0ms (0.1%)

rewrite509.0ms (1.7%)

simplify470.0ms (1.6%)

eval171.0ms (0.6%)

prune128.0ms (0.4%)

simplify265.0ms (0.9%)

localize261.0ms (0.9%)

series24.0ms (0.1%)

rewrite453.0ms (1.5%)

simplify533.0ms (1.8%)

eval571.0ms (1.9%)

prune157.0ms (0.5%)

regimes31.0ms (0.1%)

regimes12.0ms (0%)

regimes12.0ms (0%)

regimes2.0ms (0%)

regimes4.0ms (0%)

bsearch43.0ms (0.1%)

bsearch66.0ms (0.2%)

bsearch29.0ms (0.1%)

simplify11.0ms (0%)

soundness567.0ms (1.9%)

preprocess35.0ms (0.1%)

end0.0ms (0%)

Profiling