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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze9.1s (55.5%)

Memory

-32.3MiB live, 15.6MiB allocated

Algorithm

1×

Search

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

sample1.3s (7.6%)

Memory

57.9MiB live, 1 589.1MiB allocated

Samples

931.0ms	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: 688.0ms

ival-mult: 394.0ms (57.3% of total)

ival-div: 172.0ms (25% of total)

ival-add: 62.0ms (9% of total)

ival-sub: 41.0ms (6% of total)

exact: 9.0ms (1.3% of total)

ival-true: 6.0ms (0.9% of total)

ival-assert: 4.0ms (0.6% of total)

adjust: 0.0ms (0% of total)

Bogosity

explain153.0ms (0.9%)

Memory

-27.7MiB live, 226.1MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

35.0ms

512×

valid

Compiler

Compiled 93 to 31 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-div: 10.0ms (50.2% of total)

ival-mult: 4.0ms (20.1% of total)

ival-add: 3.0ms (15% of total)

ival-sub: 2.0ms (10% of total)

exact: 1.0ms (5% of total)

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

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

preprocess62.0ms (0.4%)

Memory

1.0MiB live, 75.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	63
1	57	61
2	121	57
3	253	55
4	541	55
5	888	55
6	995	55
7	1019	55
8	1029	55
9	1033	55
0	9	11
0	14	11
1	22	11
2	33	11
3	48	11
4	90	11
5	163	11
6	284	11
7	379	11
8	589	11
9	679	11
10	801	11
11	837	11
12	1000	11
13	1009	11
0	1009	10

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 11 to 9 computations (18.2% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.6MiB live, 1.6MiB 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 11 to 9 computations (18.2% saved)

simplify30.0ms (0.2%)

Memory

-14.7MiB live, 32.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
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	128	(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))
cost-diff	384	(/.f64 (*.f64 x y) #s(literal 2 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	39
0	14	39
1	22	39
2	33	39
3	48	39
4	90	39
5	163	39
6	284	39
7	379	39
8	589	39
9	679	39
10	801	39
11	837	39
12	1000	39
13	1009	39
0	1009	36

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize24.0ms (0.1%)

Memory

12.2MiB live, 50.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x y)
accuracy	0.00390625	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
accuracy	0.00390625	(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))
accuracy	8.79371775535706	(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))

Samples

18.0ms

256×

valid

Compiler

Compiled 41 to 11 computations (73.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-div: 4.0ms (38.2% of total)

ival-mult: 3.0ms (28.6% of total)

ival-sub: 1.0ms (9.5% of total)

ival-add: 1.0ms (9.5% of total)

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

exact: 0.0ms (0% of total)

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

series13.0ms (0.1%)

Memory

-9.1MiB live, 29.2MiB allocated

Counts

5 → 120

Calls

Call 1

Inputs
#s(alt (/.f64 (.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))))) (patch (-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64)))) (patch (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())

Outputs
#s(alt (* 1/2 (* x y)) (taylor 0 y) (#s(alt (/.f64 (.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor 0 y) (#s(alt (/.f64 (.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor 0 y) (#s(alt (/.f64 (.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor 0 y) (#s(alt (/.f64 (.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 (* x y))) (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 (* x y))) (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 (* x y))) (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))))) (patch (-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))))) (patch (-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* 1/2 (* x y)) 1))) (taylor 0 y) (#s(alt (-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))))) (patch (-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1))) (taylor 0 y) (#s(alt (-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))))) (patch (-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 y) (#s(alt (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64)))) (patch (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1/2 (* x y)))) (taylor 0 y) (#s(alt (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64)))) (patch (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x))))) (taylor 0 y) (#s(alt (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64)))) (patch (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x))))) (taylor 0 y) (#s(alt (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64)))) (patch (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf y) (#s(alt (/.f64 (.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf y) (#s(alt (/.f64 (.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf y) (#s(alt (/.f64 (.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf y) (#s(alt (/.f64 (.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf y) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* 1/2 x) (/ 1 y))) (taylor inf y) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* 1/2 x) (/ 1 y))) (taylor inf y) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* 1/2 x) (/ 1 y))) (taylor inf y) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- x (* 2 (/ 1 x))) (taylor inf y) (#s(alt (-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))))) (patch (-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x))) (taylor inf y) (#s(alt (-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))))) (patch (-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2))))) (taylor inf y) (#s(alt (-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))))) (patch (-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(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)))))) (taylor inf y) (#s(alt (-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))))) (patch (-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 2 x) (taylor inf y) (#s(alt (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64)))) (patch (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y)))) (taylor inf y) (#s(alt (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64)))) (patch (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y))) (taylor inf y) (#s(alt (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64)))) (patch (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(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)))) (taylor inf y) (#s(alt (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64)))) (patch (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf y) (#s(alt (/.f64 (.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf y) (#s(alt (/.f64 (.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf y) (#s(alt (/.f64 (.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf y) (#s(alt (/.f64 (.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf y) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1/2 x) (/ 1 y)))) (taylor -inf y) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1/2 x) (/ 1 y)))) (taylor -inf y) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1/2 x) (/ 1 y)))) (taylor -inf y) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
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#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
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#s(alt y (taylor 0 x) (#s(alt (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64)))) (patch (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
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#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())

Calls

6 calls:

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

simplify178.0ms (1.1%)

Memory

12.8MiB live, 293.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	231	1053
1	738	1018
2	1944	987
3	6075	981
0	8419	934

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 115

Calls

Call 1

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

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

rewrite149.0ms (0.9%)

Memory

20.0MiB live, 251.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	35
0	14	35
1	63	35
2	500	35
3	6873	35
0	8527	32

Stop Event

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

Counts

5 → 279

Calls

Call 1

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

Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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eval63.0ms (0.4%)

Memory: -28.1MiB live, 133.3MiB allocated
Compiler: Compiled 9 214 to 1 087 computations (88.2% saved)

prune14.0ms (0.1%)

Memory

-0.3MiB live, 43.4MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	384	10	394
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	385	10	395

Accuracy

100.0%

Counts

395 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	75.9%	(-.f64 x (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))))
▶	99.9%	(-.f64 x (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
	60.3%	(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (.f64 (.f64 y #s(literal 1/2 binary64)) x))))
▶	57.3%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (.f64 (.f64 y y) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) y #s(literal -1/2 binary64))) x y)))
	57.8%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x)))
▶	60.3%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
	65.3%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x))
▶	57.7%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) x x))
	75.8%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
▶	28.0%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))

Compiler

Compiled 198 to 158 computations (20.2% saved)

simplify127.0ms (0.8%)

Memory

9.4MiB live, 168.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 y y) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) y #s(literal -1/2 binary64)))
cost-diff	0	(fma.f64 (.f64 (.f64 y y) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) y #s(literal -1/2 binary64))) x y)
cost-diff	0	#s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (.f64 (.f64 y y) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) y #s(literal -1/2 binary64))) x y))
cost-diff	0	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (.f64 (.f64 y y) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) y #s(literal -1/2 binary64))) x y)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(/.f64 #s(literal -2 binary64) (*.f64 x x))
cost-diff	0	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) x x))
cost-diff	512	(fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) x x)
cost-diff	0	(/.f64 #s(literal 2 binary64) x)
cost-diff	0	#s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))
cost-diff	0	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
cost-diff	0	(neg.f64 y)
cost-diff	0	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
cost-diff	0	(*.f64 y x)
cost-diff	0	(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))
cost-diff	0	(/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
cost-diff	0	(-.f64 x (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	33	206
0	53	206
1	100	206
2	205	200
3	426	200
4	644	194
5	1210	194
6	2075	194
7	3977	194
8	7319	194
0	8264	194

Stop Event

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

Calls

Call 1

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

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

localize85.0ms (0.5%)

Memory

10.7MiB live, 87.7MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (.f64 (.f64 y y) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) y #s(literal -1/2 binary64))) x y)))
accuracy	1.1841531878504685	(.f64 (.f64 y y) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) y #s(literal -1/2 binary64)))
accuracy	5.698066331963854	(fma.f64 (.f64 (.f64 y y) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) y #s(literal -1/2 binary64))) x y)
accuracy	30.241005044899648	#s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (.f64 (.f64 y y) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) y #s(literal -1/2 binary64))) x y))
accuracy	0	(*.f64 x x)
accuracy	0.3823097011220212	(/.f64 #s(literal -2 binary64) (*.f64 x x))
accuracy	16.32944019392204	(fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) x x)
accuracy	25.381603087698682	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) x x))
accuracy	0	(/.f64 #s(literal 2 binary64) x)
accuracy	0.00390625	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
accuracy	32.81843178730024	#s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))
accuracy	0	(neg.f64 y)
accuracy	46.048946936946855	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
accuracy	0	(*.f64 y x)
accuracy	0.00390625	(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))
accuracy	0.00390625	(-.f64 x (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
accuracy	8.79371775535706	(/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))

Samples

67.0ms

256×

valid

Compiler

Compiled 168 to 33 computations (80.4% saved)

Precisions

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

ival-mult: 16.0ms (47.3% of total)

ival-div: 8.0ms (23.7% of total)

ival-add: 6.0ms (17.7% of total)

ival-sub: 2.0ms (5.9% of total)

exact: 1.0ms (3% of total)

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

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

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

series38.0ms (0.2%)

Memory

-10.6MiB live, 26.2MiB allocated

Counts

17 → 348

Calls

Call 1

Inputs
#s(alt (-.f64 x (/.f64 y (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (patch (-.f64 x (/.f64 y (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 y (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (patch (/.f64 y (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())
#s(alt #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y)) (patch #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y)) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) (patch (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) #<representation binary64>) () ())
#s(alt #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)) (patch #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) x) (patch (/.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 #s(literal -2 binary64) (.f64 x x)) x x) (patch (fma.f64 (/.f64 #s(literal -2 binary64) (.f64 x x)) x x) #<representation binary64>) () ())
#s(alt #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (/.f64 #s(literal -2 binary64) (.f64 x x)) x x)) (patch #s(approx (- x (/ y (+ 1 (/ ( x y) 2)))) (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) x x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -2 binary64) (.f64 x x)) (patch (/.f64 #s(literal -2 binary64) (.f64 x x)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (.f64 (.f64 y y) (fma.f64 (.f64 #s(literal 1/4 binary64) x) y #s(literal -1/2 binary64))) x y))) (patch (-.f64 x #s(approx (/ y (+ 1 (/ ( x y) 2))) (fma.f64 (.f64 (.f64 y y) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) y #s(literal -1/2 binary64))) x y))) #<representation binary64>) () ())
#s(alt #s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (.f64 (.f64 y y) (fma.f64 (.f64 #s(literal 1/4 binary64) x) y #s(literal -1/2 binary64))) x y)) (patch #s(approx (/ y (+ 1 (/ ( x y) 2))) (fma.f64 (.f64 (.f64 y y) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) y #s(literal -1/2 binary64))) x y)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (.f64 y y) (fma.f64 (.f64 #s(literal 1/4 binary64) x) y #s(literal -1/2 binary64))) x y) (patch (fma.f64 (.f64 (.f64 y y) (fma.f64 (.f64 #s(literal 1/4 binary64) x) y #s(literal -1/2 binary64))) x y) #<representation binary64>) () ())
#s(alt (.f64 (.f64 y y) (fma.f64 (.f64 #s(literal 1/4 binary64) x) y #s(literal -1/2 binary64))) (patch (.f64 (.f64 y y) (fma.f64 (.f64 #s(literal 1/4 binary64) x) y #s(literal -1/2 binary64))) #<representation binary64>) () ())

Outputs
#s(alt x (taylor 0 y) (#s(alt (-.f64 x (/.f64 y (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (patch (-.f64 x (/.f64 y (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x (/.f64 y (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (patch (-.f64 x (/.f64 y (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* 1/2 (* x y)) 1))) (taylor 0 y) (#s(alt (-.f64 x (/.f64 y (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (patch (-.f64 x (/.f64 y (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x)) (taylor -inf x) (#s(alt #s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (.f64 (.f64 y y) (fma.f64 (.f64 #s(literal 1/4 binary64) x) y #s(literal -1/2 binary64))) x y)) (patch #s(approx (/ y (+ 1 (/ ( x y) 2))) (fma.f64 (.f64 (.f64 y y) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) y #s(literal -1/2 binary64))) x y)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (* (pow x 2) (pow y 3))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (.f64 y y) (fma.f64 (.f64 #s(literal 1/4 binary64) x) y #s(literal -1/2 binary64))) x y) (patch (fma.f64 (.f64 (.f64 y y) (fma.f64 (.f64 #s(literal 1/4 binary64) x) y #s(literal -1/2 binary64))) x y) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1/2 (/ (pow y 2) x)) (* 1/4 (pow y 3)))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (.f64 y y) (fma.f64 (.f64 #s(literal 1/4 binary64) x) y #s(literal -1/2 binary64))) x y) (patch (fma.f64 (.f64 (.f64 y y) (fma.f64 (.f64 #s(literal 1/4 binary64) x) y #s(literal -1/2 binary64))) x y) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ y x)) (* 1/2 (pow y 2))) x)) (* 1/4 (pow y 3)))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (.f64 y y) (fma.f64 (.f64 #s(literal 1/4 binary64) x) y #s(literal -1/2 binary64))) x y) (patch (fma.f64 (.f64 (.f64 y y) (fma.f64 (.f64 #s(literal 1/4 binary64) x) y #s(literal -1/2 binary64))) x y) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ y x)) (* 1/2 (pow y 2))) x)) (* 1/4 (pow y 3)))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (.f64 y y) (fma.f64 (.f64 #s(literal 1/4 binary64) x) y #s(literal -1/2 binary64))) x y) (patch (fma.f64 (.f64 (.f64 y y) (fma.f64 (.f64 #s(literal 1/4 binary64) x) y #s(literal -1/2 binary64))) x y) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (* x (pow y 3))) (taylor -inf x) (#s(alt (.f64 (.f64 y y) (fma.f64 (.f64 #s(literal 1/4 binary64) x) y #s(literal -1/2 binary64))) (patch (.f64 (.f64 y y) (fma.f64 (.f64 #s(literal 1/4 binary64) x) y #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/4 (pow y 3)) (* 1/2 (/ (pow y 2) x))))) (taylor -inf x) (#s(alt (.f64 (.f64 y y) (fma.f64 (.f64 #s(literal 1/4 binary64) x) y #s(literal -1/2 binary64))) (patch (.f64 (.f64 y y) (fma.f64 (.f64 #s(literal 1/4 binary64) x) y #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/4 (pow y 3)) (* 1/2 (/ (pow y 2) x))))) (taylor -inf x) (#s(alt (.f64 (.f64 y y) (fma.f64 (.f64 #s(literal 1/4 binary64) x) y #s(literal -1/2 binary64))) (patch (.f64 (.f64 y y) (fma.f64 (.f64 #s(literal 1/4 binary64) x) y #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/4 (pow y 3)) (* 1/2 (/ (pow y 2) x))))) (taylor -inf x) (#s(alt (.f64 (.f64 y y) (fma.f64 (.f64 #s(literal 1/4 binary64) x) y #s(literal -1/2 binary64))) (patch (.f64 (.f64 y y) (fma.f64 (.f64 #s(literal 1/4 binary64) x) y #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
17.0ms	x	@	inf	((- x (/ y (+ (* (* y x) 1/2) 1))) (/ y (+ (* (* y x) 1/2) 1)) (+ (* (* y x) 1/2) 1) (* y x) (- x (/ y (+ 1 (/ (* x y) 2)))) (neg y) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ 2 x) (+ (* (/ -2 (* x x)) x) x) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ -2 (* x x)) (* x x) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ (* (* (* y y) (+ (* (* 1/4 x) y) -1/2)) x) y) (* (* y y) (+ (* (* 1/4 x) y) -1/2)))
3.0ms	y	@	inf	((- x (/ y (+ (* (* y x) 1/2) 1))) (/ y (+ (* (* y x) 1/2) 1)) (+ (* (* y x) 1/2) 1) (* y x) (- x (/ y (+ 1 (/ (* x y) 2)))) (neg y) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ 2 x) (+ (* (/ -2 (* x x)) x) x) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ -2 (* x x)) (* x x) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ (* (* (* y y) (+ (* (* 1/4 x) y) -1/2)) x) y) (* (* y y) (+ (* (* 1/4 x) y) -1/2)))
2.0ms	x	@	-inf	((- x (/ y (+ (* (* y x) 1/2) 1))) (/ y (+ (* (* y x) 1/2) 1)) (+ (* (* y x) 1/2) 1) (* y x) (- x (/ y (+ 1 (/ (* x y) 2)))) (neg y) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ 2 x) (+ (* (/ -2 (* x x)) x) x) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ -2 (* x x)) (* x x) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ (* (* (* y y) (+ (* (* 1/4 x) y) -1/2)) x) y) (* (* y y) (+ (* (* 1/4 x) y) -1/2)))
2.0ms	x	@	0	((- x (/ y (+ (* (* y x) 1/2) 1))) (/ y (+ (* (* y x) 1/2) 1)) (+ (* (* y x) 1/2) 1) (* y x) (- x (/ y (+ 1 (/ (* x y) 2)))) (neg y) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ 2 x) (+ (* (/ -2 (* x x)) x) x) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ -2 (* x x)) (* x x) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ (* (* (* y y) (+ (* (* 1/4 x) y) -1/2)) x) y) (* (* y y) (+ (* (* 1/4 x) y) -1/2)))
2.0ms	y	@	-inf	((- x (/ y (+ (* (* y x) 1/2) 1))) (/ y (+ (* (* y x) 1/2) 1)) (+ (* (* y x) 1/2) 1) (* y x) (- x (/ y (+ 1 (/ (* x y) 2)))) (neg y) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ 2 x) (+ (* (/ -2 (* x x)) x) x) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ -2 (* x x)) (* x x) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ (* (* (* y y) (+ (* (* 1/4 x) y) -1/2)) x) y) (* (* y y) (+ (* (* 1/4 x) y) -1/2)))

simplify519.0ms (3.2%)

Memory

-1.0MiB live, 148.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	296	3777
1	946	3585
2	2687	3427
3	7269	3427
0	8178	3274

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 323

Calls

Call 1

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

Outputs
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* y (- (* 1/2 (* x y)) 1)))
(fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x)
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) y) #s(literal -1/4 binary64) (*.f64 #s(literal 1/2 binary64) x)) y #s(literal -1 binary64)) y x)
y
(* y (+ 1 (* -1/2 (* x y))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y)
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))
(fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y x) #s(literal -1/2 binary64)) y) y) x y)
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))
(.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal -1/8 binary64))) y)) y #s(literal 1 binary64)) y)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* x y)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))
(+ 1 (* 1/2 (* x y)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))
(+ 1 (* 1/2 (* x y)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))
(* x y)
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(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* y (- (* 1/2 (* x y)) 1)))
(fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x)
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) y) #s(literal -1/4 binary64) (*.f64 #s(literal 1/2 binary64) x)) y #s(literal -1 binary64)) y x)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* y (- (* 1/2 (* x y)) 1)))
(fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x)
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) y) #s(literal -1/4 binary64) (*.f64 #s(literal 1/2 binary64) x)) y #s(literal -1 binary64)) y x)
y
(* y (+ 1 (* -1/2 (* x y))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y)
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))
(fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y x) #s(literal -1/2 binary64)) y) y) x y)
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))
(.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal -1/8 binary64))) y)) y #s(literal 1 binary64)) y)
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* y (- (* 1/2 (* x y)) 1)))
(fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x)
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) y) #s(literal -1/4 binary64) (*.f64 #s(literal 1/2 binary64) x)) y #s(literal -1 binary64)) y x)
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* y (- (* 1/2 (* x y)) 1)))
(fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x)
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) y) #s(literal -1/4 binary64) (*.f64 #s(literal 1/2 binary64) x)) y #s(literal -1 binary64)) y x)
y
(* y (+ 1 (* -1/2 (* x y))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y)
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))
(fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y x) #s(literal -1/2 binary64)) y) y) x y)
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))
(.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal -1/8 binary64))) y)) y #s(literal 1 binary64)) y)
y
(* y (+ 1 (* -1/2 (* x y))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y)
(* y (+ 1 (* y (+ (* -1/2 x) (* 1/4 (* (pow x 2) y))))))
(fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y x) #s(literal -1/2 binary64)) y) y) x y)
(* y (+ 1 (* y (+ (* -1/2 x) (* 1/4 (* (pow x 2) y))))))
(fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y x) #s(literal -1/2 binary64)) y) y) x y)
(* -1/2 (pow y 2))
(.f64 (.f64 y y) #s(literal -1/2 binary64))
(* (pow y 2) (- (* 1/4 (* x y)) 1/2))
(.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y x) #s(literal -1/2 binary64)) y) y)
(* (pow y 2) (- (* 1/4 (* x y)) 1/2))
(.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y x) #s(literal -1/2 binary64)) y) y)
(* (pow y 2) (- (* 1/4 (* x y)) 1/2))
(.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y x) #s(literal -1/2 binary64)) y) y)
(- x (* 2 (/ 1 x)))
(-.f64 x (/.f64 #s(literal 2 binary64) x))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal 2 binary64)) x) x)
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(+.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 y y) x)) (/.f64 #s(literal 4 binary64) y)) x)) 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 (/.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 y y) x)) (/.f64 #s(literal 4 binary64) y)) 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 y x)) #s(literal -2 binary64)) x)
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal 8 binary64) (.f64 (.f64 y y) x))) 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 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 16 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) y))) (.f64 y y)) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal 2 binary64)) x))
(* 1/2 (* x y))
(.f64 (.f64 y x) #s(literal 1/2 binary64))
(* y (+ (* 1/2 x) (/ 1 y)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))
(* y (+ (* 1/2 x) (/ 1 y)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))
(* y (+ (* 1/2 x) (/ 1 y)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(- x (* 2 (/ 1 x)))
(-.f64 x (/.f64 #s(literal 2 binary64) x))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal 2 binary64)) x) x)
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(+.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 y y) x)) (/.f64 #s(literal 4 binary64) y)) x)) 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 (/.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 y y) x)) (/.f64 #s(literal 4 binary64) y)) x)) x) x))
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(- x (* 2 (/ 1 x)))
(-.f64 x (/.f64 #s(literal 2 binary64) x))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal 2 binary64)) x) x)
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(+.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 y y) x)) (/.f64 #s(literal 4 binary64) y)) x)) 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 (/.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 y y) x)) (/.f64 #s(literal 4 binary64) y)) 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 y x)) #s(literal -2 binary64)) x)
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal 8 binary64) (.f64 (.f64 y y) x))) 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 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 16 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) y))) (.f64 y y)) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal 2 binary64)) x))
(- x (* 2 (/ 1 x)))
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(+.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 y y) x)) (/.f64 #s(literal 4 binary64) y)) x)) 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 (/.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 y y) x)) (/.f64 #s(literal 4 binary64) y)) x)) x) x))
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(- (+ 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))))))
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(/ 2 x)
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(- (+ (* 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 8 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 16 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) y))) (.f64 y y)) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal 2 binary64)) x))
(* 1/4 (* (pow x 2) (pow y 3)))
(.f64 (.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal 1/4 binary64)) x)
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(*.f64 (fma.f64 x (fma.f64 #s(literal 1/4 binary64) x (/.f64 #s(literal -1/2 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) (pow.f64 y #s(literal 3 binary64)))
(* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* 1/4 (pow x 2)) (/ 1 (pow y 2)))))
(*.f64 (fma.f64 x (fma.f64 #s(literal 1/4 binary64) x (/.f64 #s(literal -1/2 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) (pow.f64 y #s(literal 3 binary64)))
(* 1/4 (* x (pow y 3)))
(.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal 1/4 binary64))
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(* x (+ (* 1/2 y) (/ 1 x)))
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(* x y)
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(* x y)
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(* x y)
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(* x y)
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x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
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(/ (- 2 (* 4 (/ 1 (* x y)))) x)
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(* x (- 1 (* 2 (/ 1 (pow x 2)))))
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(* (pow x 2) (+ (* -1/2 (/ (pow y 2) x)) (* 1/4 (pow y 3))))
(.f64 (.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 y x) #s(literal -1/2 binary64)) y) y) x)
(* (pow x 2) (+ (* -1/2 (/ (pow y 2) x)) (+ (* 1/4 (pow y 3)) (/ y (pow x 2)))))
(.f64 (fma.f64 (.f64 (*.f64 y y) (fma.f64 y #s(literal 1/4 binary64) (/.f64 #s(literal -1/2 binary64) x))) x (/.f64 y x)) x)
(* (pow x 2) (+ (* -1/2 (/ (pow y 2) x)) (+ (* 1/4 (pow y 3)) (/ y (pow x 2)))))
(.f64 (fma.f64 (.f64 (*.f64 y y) (fma.f64 y #s(literal 1/4 binary64) (/.f64 #s(literal -1/2 binary64) x))) x (/.f64 y x)) x)
(* 1/4 (* x (pow y 3)))
(.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal 1/4 binary64))
(* x (+ (* -1/2 (/ (pow y 2) x)) (* 1/4 (pow y 3))))
(.f64 (.f64 (*.f64 y y) (fma.f64 y #s(literal 1/4 binary64) (/.f64 #s(literal -1/2 binary64) x))) x)
(* x (+ (* -1/2 (/ (pow y 2) x)) (* 1/4 (pow y 3))))
(.f64 (.f64 (*.f64 y y) (fma.f64 y #s(literal 1/4 binary64) (/.f64 #s(literal -1/2 binary64) x))) x)
(* x (+ (* -1/2 (/ (pow y 2) x)) (* 1/4 (pow y 3))))
(.f64 (.f64 (*.f64 y y) (fma.f64 y #s(literal 1/4 binary64) (/.f64 #s(literal -1/2 binary64) x))) x)
x
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(-.f64 x (/.f64 #s(literal 2 binary64) x))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal 2 binary64)) x) x)
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
(+.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 y y) x)) (/.f64 #s(literal 4 binary64) y)) x)) x) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal 8 binary64) (.f64 (.f64 y y) x))) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
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(* 1/2 (* x y))
(.f64 (.f64 y x) #s(literal 1/2 binary64))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(neg.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) x #s(literal -1 binary64)))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(neg.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) x #s(literal -1 binary64)))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(neg.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) x #s(literal -1 binary64)))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
x
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(-.f64 x (/.f64 #s(literal 2 binary64) x))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal 2 binary64)) x) x)
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
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x
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(-.f64 x (/.f64 #s(literal 2 binary64) x))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal 2 binary64)) x) x)
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
(+.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 y y) x)) (/.f64 #s(literal 4 binary64) y)) x)) x) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal 8 binary64) (.f64 (.f64 y y) x))) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) x)) (/.f64 #s(literal 8 binary64) (.f64 y y))) x)) x) #s(literal 2 binary64)) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
x
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(-.f64 x (/.f64 #s(literal 2 binary64) x))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(-.f64 x (/.f64 #s(literal 2 binary64) x))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(-.f64 x (/.f64 #s(literal 2 binary64) x))
x
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(-.f64 x (/.f64 #s(literal 2 binary64) x))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal 2 binary64)) x) x)
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
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(/ -2 (pow x 2))
(/.f64 (/.f64 #s(literal -2 binary64) x) x)
(/ -2 (pow x 2))
(/.f64 (/.f64 #s(literal -2 binary64) x) x)
(/ -2 (pow x 2))
(/.f64 (/.f64 #s(literal -2 binary64) x) x)
(/ -2 (pow x 2))
(/.f64 (/.f64 #s(literal -2 binary64) x) x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
x
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
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(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal 2 binary64)) x) x)
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
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(/ 2 x)
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(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal 8 binary64) (.f64 (.f64 y y) x))) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) x)) (/.f64 #s(literal 8 binary64) (.f64 y y))) x)) x) #s(literal 2 binary64)) x)
(* 1/4 (* (pow x 2) (pow y 3)))
(.f64 (.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal 1/4 binary64)) x)
(* (pow x 2) (+ (* -1/2 (/ (pow y 2) x)) (* 1/4 (pow y 3))))
(.f64 (.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 y x) #s(literal -1/2 binary64)) y) y) x)
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ y x)) (* 1/2 (pow y 2))) x)) (* 1/4 (pow y 3))))
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(* -1 (* x (+ (* -1/4 (pow y 3)) (* 1/2 (/ (pow y 2) x)))))
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rewrite363.0ms (2.2%)

Memory

8.5MiB live, 213.5MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	181
0	53	175
1	241	175
2	1577	169
0	8629	169

Stop Event

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

Counts

17 → 367

Calls

Call 1

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

Outputs
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eval207.0ms (1.3%)

Memory: 6.9MiB live, 118.4MiB allocated
Compiler: Compiled 14 731 to 1 629 computations (88.9% saved)

prune44.0ms (0.3%)

Memory

4.6MiB live, 49.2MiB allocated

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	685	5	690
Fresh	4	1	5
Picked	0	5	5
Done	0	0	0
Total	689	11	700

Accuracy

100.0%

Counts

700 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	75.9%	(-.f64 x (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))))
✓	99.9%	(-.f64 x (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
▶	60.3%	(-.f64 x (/.f64 y #s(approx (+ (* (* y x) 1/2) 1) (.f64 (.f64 y x) #s(literal 1/2 binary64)))))
	57.8%	(-.f64 x #s(approx (/ y (+ (* (* y x) 1/2) 1)) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x)))
✓	57.3%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (.f64 (.f64 y y) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) y #s(literal -1/2 binary64))) x y)))
✓	60.3%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
▶	65.3%	#s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x))
▶	75.8%	#s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) (-.f64 x y))
✓	57.7%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) x x))
✓	28.0%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
▶	12.2%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (/ -2 (* x x)) x) x) (/.f64 #s(literal -2 binary64) x)))

Compiler

Compiled 164 to 134 computations (18.3% saved)

simplify113.0ms (0.7%)

Memory

-1.8MiB live, 70.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 y x) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (+ (* (* y x) 1/2) 1) (.f64 (.f64 y x) #s(literal 1/2 binary64)))
cost-diff	0	(/.f64 y #s(approx (+ (* (* y x) 1/2) 1) (.f64 (.f64 y x) #s(literal 1/2 binary64))))
cost-diff	0	(-.f64 x (/.f64 y #s(approx (+ (* (* y x) 1/2) 1) (.f64 (.f64 y x) #s(literal 1/2 binary64)))))
cost-diff	0	(*.f64 y x)
cost-diff	0	(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64))
cost-diff	0	(fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x)
cost-diff	0	#s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x))
cost-diff	0	(/.f64 #s(literal -2 binary64) x)
cost-diff	0	#s(approx (+ (* (/ -2 (* x x)) x) x) (/.f64 #s(literal -2 binary64) x))
cost-diff	0	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (/ -2 (* x x)) x) x) (/.f64 #s(literal -2 binary64) x)))
cost-diff	0	(-.f64 x y)
cost-diff	0	#s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) (-.f64 x y))
cost-diff	0	(fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64))
cost-diff	0	(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y)
cost-diff	0	(/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)))
cost-diff	128	(-.f64 x (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	234
0	59	234
1	99	234
2	196	226
3	412	226
4	1062	226
5	2197	226
6	4315	226
7	5697	226
8	7338	226
0	8012	219

Stop Event

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

Calls

Call 1

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

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

localize187.0ms (1.1%)

Memory

-7.7MiB live, 112.6MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y x)
accuracy	0.00390625	(-.f64 x (/.f64 y #s(approx (+ (* (* y x) 1/2) 1) (.f64 (.f64 y x) #s(literal 1/2 binary64)))))
accuracy	8.79371775535706	(/.f64 y #s(approx (+ (* (* y x) 1/2) 1) (.f64 (.f64 y x) #s(literal 1/2 binary64))))
accuracy	32.700694531975074	#s(approx (+ (* (* y x) 1/2) 1) (.f64 (.f64 y x) #s(literal 1/2 binary64)))
accuracy	0	(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64))
accuracy	0	(*.f64 y x)
accuracy	0.03515625	(fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x)
accuracy	22.181066423318185	#s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x))
accuracy	0	(/.f64 #s(literal -2 binary64) x)
accuracy	25.381603087698682	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (/ -2 (* x x)) x) x) (/.f64 #s(literal -2 binary64) x)))
accuracy	31.001083137534742	#s(approx (+ (* (/ -2 (* x x)) x) x) (/.f64 #s(literal -2 binary64) x))
accuracy	0	(-.f64 x y)
accuracy	15.519269173291542	#s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) (-.f64 x y))
accuracy	0.00390625	(-.f64 x (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))))
accuracy	0.0703125	(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y)
accuracy	0.2897262695368841	(pow.f64 (*.f64 y x) #s(literal 2 binary64))
accuracy	17.35123265622611	(/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)))

Samples

122.0ms

256×

valid

Compiler

Compiled 196 to 38 computations (80.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 86.0ms

ival-mult: 49.0ms (57.3% of total)

ival-div: 20.0ms (23.4% of total)

ival-add: 8.0ms (9.4% of total)

ival-sub: 5.0ms (5.8% of total)

ival-pow2: 3.0ms (3.5% of total)

exact: 1.0ms (1.2% of total)

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

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

series74.0ms (0.5%)

Memory

3.7MiB live, 42.5MiB allocated

Counts

18 → 408

Calls

Call 1

Inputs
#s(alt (-.f64 x (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (patch (-.f64 x (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))) (patch (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y) (patch (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) (-.f64 x y)) (patch #s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) (-.f64 x y)) #<representation binary64>) () ())
#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())
#s(alt #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (/ -2 (* x x)) x) x) (/.f64 #s(literal -2 binary64) x))) (patch #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (/ -2 (* x x)) x) x) (/.f64 #s(literal -2 binary64) x))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (/ -2 (* x x)) x) x) (/.f64 #s(literal -2 binary64) x)) (patch #s(approx (+ (* (/ -2 (* x x)) x) x) (/.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -2 binary64) x) (patch (/.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())
#s(alt #s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) (fma.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x)) (patch #s(approx (- x (/ y (+ ( (* y x) 1/2) 1))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x) (patch (fma.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) (patch (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())
#s(alt (-.f64 x (/.f64 y #s(approx (+ (* (* y x) 1/2) 1) (.f64 (.f64 y x) #s(literal 1/2 binary64))))) (patch (-.f64 x (/.f64 y #s(approx (+ (* (* y x) 1/2) 1) (.f64 (.f64 y x) #s(literal 1/2 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 y #s(approx (+ (* (* y x) 1/2) 1) (.f64 (.f64 y x) #s(literal 1/2 binary64)))) (patch (/.f64 y #s(approx (+ (* (* y x) 1/2) 1) (.f64 (.f64 y x) #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* y x) 1/2) 1) (.f64 (.f64 y x) #s(literal 1/2 binary64))) (patch #s(approx (+ (* (* y x) 1/2) 1) (.f64 (.f64 y x) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 y x) #s(literal 1/2 binary64)) (patch (.f64 (.f64 y x) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (.f64 y x) #s(literal 2 binary64)) (patch (pow.f64 (.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())

Outputs
#s(alt x (taylor 0 y) (#s(alt (-.f64 x (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (patch (-.f64 x (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (patch (-.f64 x (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* 1/2 (* x y)) 1))) (taylor 0 y) (#s(alt (-.f64 x (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (patch (-.f64 x (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* y (- (* -1/4 (* (pow x 2) y)) (* -1/2 x))) 1))) (taylor 0 y) (#s(alt (-.f64 x (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (patch (-.f64 x (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 y) (#s(alt (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))) (patch (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1/2 (* x y)))) (taylor 0 y) (#s(alt (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))) (patch (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* y (+ (* -1/2 x) (* 1/4 (* (pow x 2) y)))))) (taylor 0 y) (#s(alt (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))) (patch (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* y (+ (* -1/2 x) (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))))))) (taylor 0 y) (#s(alt (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))) (patch (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 y) (#s(alt (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y) (patch (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1/2 (* x y)))) (taylor 0 y) (#s(alt (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y) (patch (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1/2 (* x y)))) (taylor 0 y) (#s(alt (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y) (patch (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1/2 (* x y)))) (taylor 0 y) (#s(alt (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y) (patch (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (* x y))) (taylor 0 y) (#s(alt (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (* x y))) (taylor 0 y) (#s(alt (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (* x y))) (taylor 0 y) (#s(alt (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt #s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) (-.f64 x y)) (patch #s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt #s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) (-.f64 x y)) (patch #s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* 1/2 (* x y)) 1))) (taylor 0 y) (#s(alt #s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) (-.f64 x y)) (patch #s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1))) (taylor 0 y) (#s(alt #s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) (-.f64 x y)) (patch #s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (/ -2 (* x x)) x) x) (/.f64 #s(literal -2 binary64) x))) (patch #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (/ -2 (* x x)) x) x) (/.f64 #s(literal -2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (/ -2 (* x x)) x) x) (/.f64 #s(literal -2 binary64) x))) (patch #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (/ -2 (* x x)) x) x) (/.f64 #s(literal -2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* 1/2 (* x y)) 1))) (taylor 0 y) (#s(alt #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (/ -2 (* x x)) x) x) (/.f64 #s(literal -2 binary64) x))) (patch #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (/ -2 (* x x)) x) x) (/.f64 #s(literal -2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1))) (taylor 0 y) (#s(alt #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (/ -2 (* x x)) x) x) (/.f64 #s(literal -2 binary64) x))) (patch #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (/ -2 (* x x)) x) x) (/.f64 #s(literal -2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt #s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) (fma.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x)) (patch #s(approx (- x (/ y (+ ( (* y x) 1/2) 1))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt #s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) (fma.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x)) (patch #s(approx (- x (/ y (+ ( (* y x) 1/2) 1))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* 1/2 (* x y)) 1))) (taylor 0 y) (#s(alt #s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) (fma.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x)) (patch #s(approx (- x (/ y (+ ( (* y x) 1/2) 1))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1))) (taylor 0 y) (#s(alt #s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) (fma.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x)) (patch #s(approx (- x (/ y (+ ( (* y x) 1/2) 1))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (fma.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x) (patch (fma.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (fma.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x) (patch (fma.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* 1/2 (* x y)) 1))) (taylor 0 y) (#s(alt (fma.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x) (patch (fma.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* 1/2 (* x y)) 1))) (taylor 0 y) (#s(alt (fma.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x) (patch (fma.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 y) (#s(alt (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) (patch (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (* x y)) 1) (taylor 0 y) (#s(alt (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) (patch (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (* x y)) 1) (taylor 0 y) (#s(alt (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) (patch (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (* x y)) 1) (taylor 0 y) (#s(alt (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) (patch (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (-.f64 x (/.f64 y #s(approx (+ (* (* y x) 1/2) 1) (.f64 (.f64 y x) #s(literal 1/2 binary64))))) (patch (-.f64 x (/.f64 y #s(approx (+ (* (* y x) 1/2) 1) (.f64 (.f64 y x) #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x (/.f64 y #s(approx (+ (* (* y x) 1/2) 1) (.f64 (.f64 y x) #s(literal 1/2 binary64))))) (patch (-.f64 x (/.f64 y #s(approx (+ (* (* y x) 1/2) 1) (.f64 (.f64 y x) #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* 1/2 (* x y)) 1))) (taylor 0 y) (#s(alt (-.f64 x (/.f64 y #s(approx (+ (* (* y x) 1/2) 1) (.f64 (.f64 y x) #s(literal 1/2 binary64))))) (patch (-.f64 x (/.f64 y #s(approx (+ (* (* y x) 1/2) 1) (.f64 (.f64 y x) #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1))) (taylor 0 y) (#s(alt (-.f64 x (/.f64 y #s(approx (+ (* (* y x) 1/2) 1) (.f64 (.f64 y x) #s(literal 1/2 binary64))))) (patch (-.f64 x (/.f64 y #s(approx (+ (* (* y x) 1/2) 1) (.f64 (.f64 y x) #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 y) (#s(alt (/.f64 y #s(approx (+ (* (* y x) 1/2) 1) (.f64 (.f64 y x) #s(literal 1/2 binary64)))) (patch (/.f64 y #s(approx (+ (* (* y x) 1/2) 1) (.f64 (.f64 y x) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1/2 (* x y)))) (taylor 0 y) (#s(alt (/.f64 y #s(approx (+ (* (* y x) 1/2) 1) (.f64 (.f64 y x) #s(literal 1/2 binary64)))) (patch (/.f64 y #s(approx (+ (* (* y x) 1/2) 1) (.f64 (.f64 y x) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x))))) (taylor 0 y) (#s(alt (/.f64 y #s(approx (+ (* (* y x) 1/2) 1) (.f64 (.f64 y x) #s(literal 1/2 binary64)))) (patch (/.f64 y #s(approx (+ (* (* y x) 1/2) 1) (.f64 (.f64 y x) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x))))) (taylor 0 y) (#s(alt (/.f64 y #s(approx (+ (* (* y x) 1/2) 1) (.f64 (.f64 y x) #s(literal 1/2 binary64)))) (patch (/.f64 y #s(approx (+ (* (* y x) 1/2) 1) (.f64 (.f64 y x) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (+ (* (* y x) 1/2) 1) (.f64 (.f64 y x) #s(literal 1/2 binary64))) (patch #s(approx (+ (* (* y x) 1/2) 1) (.f64 (.f64 y x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 (* x y))) (taylor 0 y) (#s(alt #s(approx (+ (* (* y x) 1/2) 1) (.f64 (.f64 y x) #s(literal 1/2 binary64))) (patch #s(approx (+ (* (* y x) 1/2) 1) (.f64 (.f64 y x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 (* x y))) (taylor 0 y) (#s(alt #s(approx (+ (* (* y x) 1/2) 1) (.f64 (.f64 y x) #s(literal 1/2 binary64))) (patch #s(approx (+ (* (* y x) 1/2) 1) (.f64 (.f64 y x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 (* x y))) (taylor 0 y) (#s(alt #s(approx (+ (* (* y x) 1/2) 1) (.f64 (.f64 y x) #s(literal 1/2 binary64))) (patch #s(approx (+ (* (* y x) 1/2) 1) (.f64 (.f64 y x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor 0 y) (#s(alt (.f64 (.f64 y x) #s(literal 1/2 binary64)) (patch (.f64 (.f64 y x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor 0 y) (#s(alt (.f64 (.f64 y x) #s(literal 1/2 binary64)) (patch (.f64 (.f64 y x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor 0 y) (#s(alt (.f64 (.f64 y x) #s(literal 1/2 binary64)) (patch (.f64 (.f64 y x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
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#s(alt x (taylor -inf x) (#s(alt (-.f64 x (/.f64 y #s(approx (+ (* (* y x) 1/2) 1) (.f64 (.f64 y x) #s(literal 1/2 binary64))))) (patch (-.f64 x (/.f64 y #s(approx (+ (* (* y x) 1/2) 1) (.f64 (.f64 y x) #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 y #s(approx (+ (* (* y x) 1/2) 1) (.f64 (.f64 y x) #s(literal 1/2 binary64))))) (patch (-.f64 x (/.f64 y #s(approx (+ (* (* y x) 1/2) 1) (.f64 (.f64 y x) #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y)))))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 y #s(approx (+ (* (* y x) 1/2) 1) (.f64 (.f64 y x) #s(literal 1/2 binary64))))) (patch (-.f64 x (/.f64 y #s(approx (+ (* (* y x) 1/2) 1) (.f64 (.f64 y x) #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 y #s(approx (+ (* (* y x) 1/2) 1) (.f64 (.f64 y x) #s(literal 1/2 binary64))))) (patch (-.f64 x (/.f64 y #s(approx (+ (* (* y x) 1/2) 1) (.f64 (.f64 y x) #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 2 x) (taylor -inf x) (#s(alt (/.f64 y #s(approx (+ (* (* y x) 1/2) 1) (.f64 (.f64 y x) #s(literal 1/2 binary64)))) (patch (/.f64 y #s(approx (+ (* (* y x) 1/2) 1) (.f64 (.f64 y x) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x)) (taylor -inf x) (#s(alt (/.f64 y #s(approx (+ (* (* y x) 1/2) 1) (.f64 (.f64 y x) #s(literal 1/2 binary64)))) (patch (/.f64 y #s(approx (+ (* (* y x) 1/2) 1) (.f64 (.f64 y x) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x)) (taylor -inf x) (#s(alt (/.f64 y #s(approx (+ (* (* y x) 1/2) 1) (.f64 (.f64 y x) #s(literal 1/2 binary64)))) (patch (/.f64 y #s(approx (+ (* (* y x) 1/2) 1) (.f64 (.f64 y x) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x)) (taylor -inf x) (#s(alt (/.f64 y #s(approx (+ (* (* y x) 1/2) 1) (.f64 (.f64 y x) #s(literal 1/2 binary64)))) (patch (/.f64 y #s(approx (+ (* (* y x) 1/2) 1) (.f64 (.f64 y x) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf x) (#s(alt #s(approx (+ (* (* y x) 1/2) 1) (.f64 (.f64 y x) #s(literal 1/2 binary64))) (patch #s(approx (+ (* (* y x) 1/2) 1) (.f64 (.f64 y x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 y) (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (+ (* (* y x) 1/2) 1) (.f64 (.f64 y x) #s(literal 1/2 binary64))) (patch #s(approx (+ (* (* y x) 1/2) 1) (.f64 (.f64 y x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 y) (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (+ (* (* y x) 1/2) 1) (.f64 (.f64 y x) #s(literal 1/2 binary64))) (patch #s(approx (+ (* (* y x) 1/2) 1) (.f64 (.f64 y x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 y) (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (+ (* (* y x) 1/2) 1) (.f64 (.f64 y x) #s(literal 1/2 binary64))) (patch #s(approx (+ (* (* y x) 1/2) 1) (.f64 (.f64 y x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 y x) #s(literal 1/2 binary64)) (patch (.f64 (.f64 y x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 y x) #s(literal 1/2 binary64)) (patch (.f64 (.f64 y x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 y x) #s(literal 1/2 binary64)) (patch (.f64 (.f64 y x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 y x) #s(literal 1/2 binary64)) (patch (.f64 (.f64 y x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (pow.f64 (.f64 y x) #s(literal 2 binary64)) (patch (pow.f64 (.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (pow.f64 (.f64 y x) #s(literal 2 binary64)) (patch (pow.f64 (.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (pow.f64 (.f64 y x) #s(literal 2 binary64)) (patch (pow.f64 (.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (pow.f64 (.f64 y x) #s(literal 2 binary64)) (patch (pow.f64 (.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())

Calls

6 calls:

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

simplify420.0ms (2.6%)

Memory

-99.3MiB live, 228.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	318	3723
1	995	3584
2	2653	3473
3	7705	3473
0	8774	3285

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 381

Calls

Call 1

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

Outputs
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* y (- (* 1/2 (* x y)) 1)))
(fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x)
(+ x (* y (- (* y (- (* -1/4 (* (pow x 2) y)) (* -1/2 x))) 1)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x (.f64 (.f64 (*.f64 x x) y) #s(literal -1/4 binary64))) y #s(literal -1 binary64)) y x)
y
(* y (+ 1 (* -1/2 (* x y))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) y #s(literal 1 binary64)) y)
(* y (+ 1 (* y (+ (* -1/2 x) (* 1/4 (* (pow x 2) y))))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) y) (.f64 #s(literal -1/2 binary64) x)) y #s(literal 1 binary64)) y)
(* y (+ 1 (* y (+ (* -1/2 x) (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal -1/8 binary64))) y (*.f64 #s(literal -1/2 binary64) x)) y #s(literal 1 binary64)) y)
y
(* y (+ 1 (* -1/2 (* x y))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) y #s(literal 1 binary64)) y)
(* y (+ 1 (* -1/2 (* x y))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) y #s(literal 1 binary64)) y)
(* y (+ 1 (* -1/2 (* x y))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) y #s(literal 1 binary64)) y)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (* x y)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) y #s(literal 1 binary64))
(+ 1 (* -1/2 (* x y)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) y #s(literal 1 binary64))
(+ 1 (* -1/2 (* x y)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) y #s(literal 1 binary64))
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* y (- (* 1/2 (* x y)) 1)))
(fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x)
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x (.f64 (.f64 (*.f64 x x) y) #s(literal -1/4 binary64))) y #s(literal -1 binary64)) y x)
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* y (- (* 1/2 (* x y)) 1)))
(fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x)
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x (.f64 (.f64 (*.f64 x x) y) #s(literal -1/4 binary64))) y #s(literal -1 binary64)) y x)
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* y (- (* 1/2 (* x y)) 1)))
(fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x)
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x (.f64 (.f64 (*.f64 x x) y) #s(literal -1/4 binary64))) y #s(literal -1 binary64)) y x)
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* y (- (* 1/2 (* x y)) 1)))
(fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x)
(+ x (* y (- (* 1/2 (* x y)) 1)))
(fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x)
-1
#s(literal -1 binary64)
(- (* 1/2 (* x y)) 1)
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64))
(- (* 1/2 (* x y)) 1)
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64))
(- (* 1/2 (* x y)) 1)
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* y (- (* 1/2 (* x y)) 1)))
(fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x)
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x (.f64 (.f64 (*.f64 x x) y) #s(literal -1/4 binary64))) y #s(literal -1 binary64)) y x)
y
(* y (+ 1 (* -1/2 (* x y))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) y #s(literal 1 binary64)) y)
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) y) (.f64 #s(literal -1/2 binary64) x)) y #s(literal 1 binary64)) y)
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal -1/8 binary64))) y (*.f64 #s(literal -1/2 binary64) x)) y #s(literal 1 binary64)) y)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* x y)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))
(+ 1 (* 1/2 (* x y)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))
(+ 1 (* 1/2 (* x y)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))
(* 1/2 (* x y))
(.f64 (.f64 y x) #s(literal 1/2 binary64))
(* 1/2 (* x y))
(.f64 (.f64 y x) #s(literal 1/2 binary64))
(* 1/2 (* x y))
(.f64 (.f64 y x) #s(literal 1/2 binary64))
(* 1/2 (* x y))
(.f64 (.f64 y x) #s(literal 1/2 binary64))
(* (pow x 2) (pow y 2))
(.f64 (.f64 (*.f64 x x) y) y)
(* (pow x 2) (pow y 2))
(.f64 (.f64 (*.f64 x x) y) y)
(* (pow x 2) (pow y 2))
(.f64 (.f64 (*.f64 x x) y) y)
(* (pow x 2) (pow y 2))
(.f64 (.f64 (*.f64 x x) y) y)
(- x (* 2 (/ 1 x)))
(-.f64 x (/.f64 #s(literal 2 binary64) x))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal 2 binary64)) x) x)
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(+.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 y y) x)) (/.f64 #s(literal 4 binary64) y)) x)) 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 (/.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 y y) x)) (/.f64 #s(literal 4 binary64) y)) 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 y x)) #s(literal -2 binary64)) x)
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal 8 binary64) (.f64 (.f64 y y) x))) 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 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 16 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) y))) (.f64 y y)) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal 2 binary64)) x))
(* -1/2 (* x (pow y 2)))
(.f64 (.f64 (*.f64 #s(literal -1/2 binary64) y) x) y)
(* (pow y 2) (+ (* -1/2 x) (/ 1 y)))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) y #s(literal 1 binary64)) y)
(* (pow y 2) (+ (* -1/2 x) (/ 1 y)))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) y #s(literal 1 binary64)) y)
(* (pow y 2) (+ (* -1/2 x) (/ 1 y)))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) y #s(literal 1 binary64)) y)
(* -1/2 (* x y))
(.f64 (.f64 #s(literal -1/2 binary64) y) x)
(* y (+ (* -1/2 x) (/ 1 y)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) y #s(literal 1 binary64))
(* y (+ (* -1/2 x) (/ 1 y)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) y #s(literal 1 binary64))
(* y (+ (* -1/2 x) (/ 1 y)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) y #s(literal 1 binary64))
(- x (* 2 (/ 1 x)))
(-.f64 x (/.f64 #s(literal 2 binary64) x))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal 2 binary64)) x) x)
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(+.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 y y) x)) (/.f64 #s(literal 4 binary64) y)) x)) 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 (/.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 y y) x)) (/.f64 #s(literal 4 binary64) y)) x)) x) x))
(* -1 y)
(neg.f64 y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(- x (* 2 (/ 1 x)))
(-.f64 x (/.f64 #s(literal 2 binary64) x))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal 2 binary64)) x) x)
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(+.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 y y) x)) (/.f64 #s(literal 4 binary64) y)) x)) 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 (/.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 y y) x)) (/.f64 #s(literal 4 binary64) y)) 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 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal 2 binary64)) x) x)
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(+.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 y y) x)) (/.f64 #s(literal 4 binary64) y)) x)) 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 (/.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 y y) x)) (/.f64 #s(literal 4 binary64) y)) x)) x) x))
(* 1/2 (* x (pow y 2)))
(.f64 (.f64 (*.f64 y y) #s(literal 1/2 binary64)) x)
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)
(* (pow y 2) (- (+ (* 1/2 x) (/ x (pow y 2))) (/ 1 y)))
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rewrite241.0ms (1.5%)

Memory

-30.9MiB live, 251.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	203
0	59	203
1	288	203
2	2129	195
0	8374	189

Stop Event

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

Counts

18 → 402

Calls

Call 1

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

Outputs
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eval375.0ms (2.3%)

Memory: 5.7MiB live, 241.3MiB allocated
Compiler: Compiled 16 344 to 1 863 computations (88.6% saved)

prune50.0ms (0.3%)

Memory

1.8MiB live, 79.7MiB allocated

Pruning

11 alts after pruning (3 fresh and 8 done)

	Pruned	Kept	Total
New	882	3	885
Fresh	1	0	1
Picked	2	3	5
Done	0	5	5
Total	885	11	896

Accuracy

100.0%

Counts

896 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	68.9%	(-.f64 x (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y) (fma.f64 (.f64 (.f64 (*.f64 y y) x) x) #s(literal -1/4 binary64) #s(literal 1 binary64))))
✓	99.9%	(-.f64 x (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
✓	60.3%	(-.f64 x (/.f64 y #s(approx (+ (* (* y x) 1/2) 1) (.f64 (.f64 y x) #s(literal 1/2 binary64)))))
▶	57.8%	(-.f64 x #s(approx (/ (* (+ (* -1/2 (* y x)) 1) y) (+ (* (pow (* y x) 2) -1/4) 1)) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x)))
✓	57.3%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (.f64 (.f64 y y) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) y #s(literal -1/2 binary64))) x y)))
✓	60.3%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
✓	75.8%	#s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) (-.f64 x y))
▶	29.0%	#s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) #s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)))
✓	57.7%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) x x))
✓	28.0%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
✓	12.2%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (/ -2 (* x x)) x) x) (/.f64 #s(literal -2 binary64) x)))

Compiler

Compiled 106 to 87 computations (17.9% saved)

simplify301.0ms (1.8%)

Memory

8.2MiB live, 128.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64))
cost-diff	0	(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y)
cost-diff	0	(/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y) (fma.f64 (.f64 (.f64 (*.f64 y y) x) x) #s(literal -1/4 binary64) #s(literal 1 binary64)))
cost-diff	128	(-.f64 x (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y) (fma.f64 (.f64 (.f64 (*.f64 y y) x) x) #s(literal -1/4 binary64) #s(literal 1 binary64))))
cost-diff	0	(-.f64 (/.f64 #s(literal -4 binary64) (*.f64 y x)) #s(literal -2 binary64))
cost-diff	0	(/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x)
cost-diff	0	#s(approx (/ (* (+ (* -1/2 (* y x)) 1) y) (+ (* (pow (* y x) 2) -1/4) 1)) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x))
cost-diff	0	(-.f64 x #s(approx (/ (* (+ (* -1/2 (* y x)) 1) y) (+ (* (pow (* y x) 2) -1/4) 1)) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x)))
cost-diff	0	(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)
cost-diff	0	#s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y))
cost-diff	0	#s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) #s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	244
0	63	244
1	107	234
2	204	234
3	388	234
4	882	234
5	1803	234
6	3399	234
7	4886	234
8	5315	234
9	5478	234
10	5594	234
11	5716	234
12	5933	234
13	5970	234
14	5984	234
15	5984	234
16	5984	234
17	5984	234
18	6677	234
19	7701	234
0	8013	230

Stop Event

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

Calls

Call 1

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

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

localize173.0ms (1%)

Memory

-15.7MiB live, 229.5MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.0703125	(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y)
accuracy	3.695132554878736	(.f64 (.f64 (*.f64 y y) x) x)
accuracy	8.860262273103297	(.f64 (.f64 y y) x)
accuracy	17.35123265622611	(/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y) (fma.f64 (.f64 (.f64 (*.f64 y y) x) x) #s(literal -1/4 binary64) #s(literal 1 binary64)))
accuracy	0.00390625	(-.f64 x #s(approx (/ (* (+ (* -1/2 (* y x)) 1) y) (+ (* (pow (* y x) 2) -1/4) 1)) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x)))
accuracy	0.078125	(/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x)
accuracy	0.5444010117940223	(/.f64 #s(literal -4 binary64) (*.f64 y x))
accuracy	33.114334837800705	#s(approx (/ (* (+ (* -1/2 (* y x)) 1) y) (+ (* (pow (* y x) 2) -1/4) 1)) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x))
accuracy	0	(*.f64 y x)
accuracy	0.0703125	(.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)
accuracy	22.181066423318185	#s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) #s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)))
accuracy	23.408776578561337	#s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y))

Samples

133.0ms

256×

valid

Compiler

Compiled 209 to 37 computations (82.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 118.0ms

ival-sub: 48.0ms (40.8% of total)

ival-div: 36.0ms (30.6% of total)

ival-mult: 18.0ms (15.3% of total)

ival-pow2: 8.0ms (6.8% of total)

ival-add: 7.0ms (6% of total)

exact: 1.0ms (0.9% of total)

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

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

series35.0ms (0.2%)

Memory

27.3MiB live, 103.8MiB allocated

Counts

16 → 384

Calls

Call 1

Inputs
#s(alt #s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) #s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y))) (patch #s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) #s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (patch #s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y) (patch (.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) (patch (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 x #s(approx (/ (* (+ (* -1/2 (* y x)) 1) y) (+ (* (pow (* y x) 2) -1/4) 1)) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (.f64 y x)) #s(literal -2 binary64)) x))) (patch (-.f64 x #s(approx (/ ( (+ (* -1/2 (* y x)) 1) y) (+ (* (pow (* y x) 2) -1/4) 1)) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x))) #<representation binary64>) () ())
#s(alt #s(approx (/ (* (+ (* -1/2 (* y x)) 1) y) (+ (* (pow (* y x) 2) -1/4) 1)) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (.f64 y x)) #s(literal -2 binary64)) x)) (patch #s(approx (/ ( (+ (* -1/2 (* y x)) 1) y) (+ (* (pow (* y x) 2) -1/4) 1)) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (.f64 y x)) #s(literal -2 binary64)) x) (patch (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (.f64 y x)) #s(literal -2 binary64)) x) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 #s(literal -4 binary64) (.f64 y x)) #s(literal -2 binary64)) (patch (-.f64 (/.f64 #s(literal -4 binary64) (.f64 y x)) #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 x (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y) (fma.f64 (.f64 (.f64 (.f64 y y) x) x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (patch (-.f64 x (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y) (fma.f64 (.f64 (.f64 (.f64 y y) x) x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y) (fma.f64 (.f64 (.f64 (.f64 y y) x) x) #s(literal -1/4 binary64) #s(literal 1 binary64))) (patch (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y) (fma.f64 (.f64 (.f64 (.f64 y y) x) x) #s(literal -1/4 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y) (patch (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -4 binary64) (.f64 y x)) (patch (/.f64 #s(literal -4 binary64) (.f64 y x)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 y y) x) (patch (.f64 (.f64 y y) x) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (.f64 y y) x) x) (patch (.f64 (.f64 (.f64 y y) x) x) #<representation binary64>) () ())

Outputs
#s(alt x (taylor 0 y) (#s(alt #s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) #s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y))) (patch #s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) #s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt #s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) #s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y))) (patch #s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) #s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* 1/2 (* x y)) 1))) (taylor 0 y) (#s(alt #s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) #s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y))) (patch #s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) #s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1))) (taylor 0 y) (#s(alt #s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) #s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y))) (patch #s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) #s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt #s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (patch #s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt #s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (patch #s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* 1/2 (* x y)) 1))) (taylor 0 y) (#s(alt #s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (patch #s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* 1/2 (* x y)) 1))) (taylor 0 y) (#s(alt #s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (patch #s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y) (patch (.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 1/2 (* x y)) 1)) (taylor 0 y) (#s(alt (.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y) (patch (.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 1/2 (* x y)) 1)) (taylor 0 y) (#s(alt (.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y) (patch (.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 1/2 (* x y)) 1)) (taylor 0 y) (#s(alt (.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y) (patch (.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 y) (#s(alt (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) (patch (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (* x y)) 1) (taylor 0 y) (#s(alt (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) (patch (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (* x y)) 1) (taylor 0 y) (#s(alt (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) (patch (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (* x y)) 1) (taylor 0 y) (#s(alt (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) (patch (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (-.f64 x #s(approx (/ (* (+ (* -1/2 (* y x)) 1) y) (+ (* (pow (* y x) 2) -1/4) 1)) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (.f64 y x)) #s(literal -2 binary64)) x))) (patch (-.f64 x #s(approx (/ ( (+ (* -1/2 (* y x)) 1) y) (+ (* (pow (* y x) 2) -1/4) 1)) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x #s(approx (/ (* (+ (* -1/2 (* y x)) 1) y) (+ (* (pow (* y x) 2) -1/4) 1)) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (.f64 y x)) #s(literal -2 binary64)) x))) (patch (-.f64 x #s(approx (/ ( (+ (* -1/2 (* y x)) 1) y) (+ (* (pow (* y x) 2) -1/4) 1)) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* 1/2 (* x y)) 1))) (taylor 0 y) (#s(alt (-.f64 x #s(approx (/ (* (+ (* -1/2 (* y x)) 1) y) (+ (* (pow (* y x) 2) -1/4) 1)) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (.f64 y x)) #s(literal -2 binary64)) x))) (patch (-.f64 x #s(approx (/ ( (+ (* -1/2 (* y x)) 1) y) (+ (* (pow (* y x) 2) -1/4) 1)) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* y (- (* -1/4 (* (pow x 2) y)) (* -1/2 x))) 1))) (taylor 0 y) (#s(alt (-.f64 x #s(approx (/ (* (+ (* -1/2 (* y x)) 1) y) (+ (* (pow (* y x) 2) -1/4) 1)) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (.f64 y x)) #s(literal -2 binary64)) x))) (patch (-.f64 x #s(approx (/ ( (+ (* -1/2 (* y x)) 1) y) (+ (* (pow (* y x) 2) -1/4) 1)) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 y) (#s(alt #s(approx (/ (* (+ (* -1/2 (* y x)) 1) y) (+ (* (pow (* y x) 2) -1/4) 1)) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (.f64 y x)) #s(literal -2 binary64)) x)) (patch #s(approx (/ ( (+ (* -1/2 (* y x)) 1) y) (+ (* (pow (* y x) 2) -1/4) 1)) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1/2 (* x y)))) (taylor 0 y) (#s(alt #s(approx (/ (* (+ (* -1/2 (* y x)) 1) y) (+ (* (pow (* y x) 2) -1/4) 1)) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (.f64 y x)) #s(literal -2 binary64)) x)) (patch #s(approx (/ ( (+ (* -1/2 (* y x)) 1) y) (+ (* (pow (* y x) 2) -1/4) 1)) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* y (+ (* -1/2 x) (* 1/4 (* (pow x 2) y)))))) (taylor 0 y) (#s(alt #s(approx (/ (* (+ (* -1/2 (* y x)) 1) y) (+ (* (pow (* y x) 2) -1/4) 1)) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (.f64 y x)) #s(literal -2 binary64)) x)) (patch #s(approx (/ ( (+ (* -1/2 (* y x)) 1) y) (+ (* (pow (* y x) 2) -1/4) 1)) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* y (+ (* -1/2 x) (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))))))) (taylor 0 y) (#s(alt #s(approx (/ (* (+ (* -1/2 (* y x)) 1) y) (+ (* (pow (* y x) 2) -1/4) 1)) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (.f64 y x)) #s(literal -2 binary64)) x)) (patch #s(approx (/ ( (+ (* -1/2 (* y x)) 1) y) (+ (* (pow (* y x) 2) -1/4) 1)) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (/ -4 (* (pow x 2) y)) (taylor 0 y) (#s(alt (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (.f64 y x)) #s(literal -2 binary64)) x) (patch (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (.f64 y x)) #s(literal -2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 2 (/ y x)) (* 4 (/ 1 (pow x 2)))) y) (taylor 0 y) (#s(alt (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (.f64 y x)) #s(literal -2 binary64)) x) (patch (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (.f64 y x)) #s(literal -2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 2 (/ y x)) (* 4 (/ 1 (pow x 2)))) y) (taylor 0 y) (#s(alt (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (.f64 y x)) #s(literal -2 binary64)) x) (patch (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (.f64 y x)) #s(literal -2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 2 (/ y x)) (* 4 (/ 1 (pow x 2)))) y) (taylor 0 y) (#s(alt (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (.f64 y x)) #s(literal -2 binary64)) x) (patch (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (.f64 y x)) #s(literal -2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (/ -4 (* x y)) (taylor 0 y) (#s(alt (-.f64 (/.f64 #s(literal -4 binary64) (.f64 y x)) #s(literal -2 binary64)) (patch (-.f64 (/.f64 #s(literal -4 binary64) (.f64 y x)) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 2 y) (* 4 (/ 1 x))) y) (taylor 0 y) (#s(alt (-.f64 (/.f64 #s(literal -4 binary64) (.f64 y x)) #s(literal -2 binary64)) (patch (-.f64 (/.f64 #s(literal -4 binary64) (.f64 y x)) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 2 y) (* 4 (/ 1 x))) y) (taylor 0 y) (#s(alt (-.f64 (/.f64 #s(literal -4 binary64) (.f64 y x)) #s(literal -2 binary64)) (patch (-.f64 (/.f64 #s(literal -4 binary64) (.f64 y x)) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 2 y) (* 4 (/ 1 x))) y) (taylor 0 y) (#s(alt (-.f64 (/.f64 #s(literal -4 binary64) (.f64 y x)) #s(literal -2 binary64)) (patch (-.f64 (/.f64 #s(literal -4 binary64) (.f64 y x)) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (-.f64 x (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y) (fma.f64 (.f64 (.f64 (.f64 y y) x) x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (patch (-.f64 x (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y) (fma.f64 (.f64 (.f64 (.f64 y y) x) x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (+ (* -1/2 (pow y 2)) (/ y x)))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y) (patch (.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/2 (pow y 2)) (/ y x)))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y) (patch (.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/2 (pow y 2)) (/ y x)))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y) (patch (.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf x) (#s(alt (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) (patch (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/2 y) (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) (patch (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/2 y) (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) (patch (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/2 y) (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) (patch (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x #s(approx (/ (* (+ (* -1/2 (* y x)) 1) y) (+ (* (pow (* y x) 2) -1/4) 1)) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (.f64 y x)) #s(literal -2 binary64)) x))) (patch (-.f64 x #s(approx (/ ( (+ (* -1/2 (* y x)) 1) y) (+ (* (pow (* y x) 2) -1/4) 1)) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(approx (/ (* (+ (* -1/2 (* y x)) 1) y) (+ (* (pow (* y x) 2) -1/4) 1)) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (.f64 y x)) #s(literal -2 binary64)) x))) (patch (-.f64 x #s(approx (/ ( (+ (* -1/2 (* y x)) 1) y) (+ (* (pow (* y x) 2) -1/4) 1)) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y)))))) (taylor -inf x) (#s(alt (-.f64 x #s(approx (/ (* (+ (* -1/2 (* y x)) 1) y) (+ (* (pow (* y x) 2) -1/4) 1)) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (.f64 y x)) #s(literal -2 binary64)) x))) (patch (-.f64 x #s(approx (/ ( (+ (* -1/2 (* y x)) 1) y) (+ (* (pow (* y x) 2) -1/4) 1)) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x))) #<representation binary64>) () ())) ())
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#s(alt (/ 2 x) (taylor -inf x) (#s(alt (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (.f64 y x)) #s(literal -2 binary64)) x) (patch (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (.f64 y x)) #s(literal -2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x)) (taylor -inf x) (#s(alt (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (.f64 y x)) #s(literal -2 binary64)) x) (patch (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (.f64 y x)) #s(literal -2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x)) (taylor -inf x) (#s(alt (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (.f64 y x)) #s(literal -2 binary64)) x) (patch (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (.f64 y x)) #s(literal -2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x)) (taylor -inf x) (#s(alt (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (.f64 y x)) #s(literal -2 binary64)) x) (patch (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (.f64 y x)) #s(literal -2 binary64)) x) #<representation binary64>) () ())) ())
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#s(alt (- 2 (* 4 (/ 1 (* x y)))) (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal -4 binary64) (.f64 y x)) #s(literal -2 binary64)) (patch (-.f64 (/.f64 #s(literal -4 binary64) (.f64 y x)) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- 2 (* 4 (/ 1 (* x y)))) (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal -4 binary64) (.f64 y x)) #s(literal -2 binary64)) (patch (-.f64 (/.f64 #s(literal -4 binary64) (.f64 y x)) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y) (fma.f64 (.f64 (.f64 (.f64 y y) x) x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (patch (-.f64 x (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y) (fma.f64 (.f64 (.f64 (.f64 y y) x) x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 x) (taylor -inf x) (#s(alt (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y) (fma.f64 (.f64 (.f64 (.f64 y y) x) x) #s(literal -1/4 binary64) #s(literal 1 binary64))) (patch (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y) (fma.f64 (.f64 (.f64 (.f64 y y) x) x) #s(literal -1/4 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x)) (taylor -inf x) (#s(alt (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y) (fma.f64 (.f64 (.f64 (.f64 y y) x) x) #s(literal -1/4 binary64) #s(literal 1 binary64))) (patch (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y) (fma.f64 (.f64 (.f64 (.f64 y y) x) x) #s(literal -1/4 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x)) (taylor -inf x) (#s(alt (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y) (fma.f64 (.f64 (.f64 (.f64 y y) x) x) #s(literal -1/4 binary64) #s(literal 1 binary64))) (patch (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y) (fma.f64 (.f64 (.f64 (.f64 y y) x) x) #s(literal -1/4 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x)) (taylor -inf x) (#s(alt (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y) (fma.f64 (.f64 (.f64 (.f64 y y) x) x) #s(literal -1/4 binary64) #s(literal 1 binary64))) (patch (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y) (fma.f64 (.f64 (.f64 (.f64 y y) x) x) #s(literal -1/4 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* x (pow y 2))) (taylor -inf x) (#s(alt (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y) (patch (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (+ (* -1 (/ y x)) (* 1/2 (pow y 2))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y) (patch (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (* 1/2 y) (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 y) (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 y) (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ -4 (* x y)) (taylor -inf x) (#s(alt (/.f64 #s(literal -4 binary64) (.f64 y x)) (patch (/.f64 #s(literal -4 binary64) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ -4 (* x y)) (taylor -inf x) (#s(alt (/.f64 #s(literal -4 binary64) (.f64 y x)) (patch (/.f64 #s(literal -4 binary64) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ -4 (* x y)) (taylor -inf x) (#s(alt (/.f64 #s(literal -4 binary64) (.f64 y x)) (patch (/.f64 #s(literal -4 binary64) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ -4 (* x y)) (taylor -inf x) (#s(alt (/.f64 #s(literal -4 binary64) (.f64 y x)) (patch (/.f64 #s(literal -4 binary64) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (.f64 (.f64 y y) x) (patch (.f64 (.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (.f64 (.f64 y y) x) (patch (.f64 (.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (.f64 (.f64 y y) x) (patch (.f64 (.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (.f64 (.f64 y y) x) (patch (.f64 (.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 y y) x) x) (patch (.f64 (.f64 (.f64 y y) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 y y) x) x) (patch (.f64 (.f64 (.f64 y y) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 y y) x) x) (patch (.f64 (.f64 (.f64 y y) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 y y) x) x) (patch (.f64 (.f64 (.f64 y y) x) x) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	x	@	inf	((- x (/ y (+ (* (* y x) 1/2) 1))) (+ (* (+ (* (* y x) 1/2) -1) y) x) (* (+ (* (* y x) 1/2) -1) y) (+ (* (* y x) 1/2) -1) (- x (/ (* (+ (* -1/2 (* y x)) 1) y) (+ (* (pow (* y x) 2) -1/4) 1))) (/ (* (+ (* -1/2 (* y x)) 1) y) (+ (* (pow (* y x) 2) -1/4) 1)) (/ (- (/ -4 (* y x)) -2) x) (- (/ -4 (* y x)) -2) (- x (/ (* (+ (* -1/2 (* y x)) 1) y) (+ (* (* (* (* y y) x) x) -1/4) 1))) (/ (* (+ (* -1/2 (* y x)) 1) y) (+ (* (* (* (* y y) x) x) -1/4) 1)) (* (+ (* -1/2 (* y x)) 1) y) (+ (* -1/2 (* y x)) 1) (* y x) (/ -4 (* y x)) (* (* y y) x) (* (* (* y y) x) x))
3.0ms	x	@	-inf	((- x (/ y (+ (* (* y x) 1/2) 1))) (+ (* (+ (* (* y x) 1/2) -1) y) x) (* (+ (* (* y x) 1/2) -1) y) (+ (* (* y x) 1/2) -1) (- x (/ (* (+ (* -1/2 (* y x)) 1) y) (+ (* (pow (* y x) 2) -1/4) 1))) (/ (* (+ (* -1/2 (* y x)) 1) y) (+ (* (pow (* y x) 2) -1/4) 1)) (/ (- (/ -4 (* y x)) -2) x) (- (/ -4 (* y x)) -2) (- x (/ (* (+ (* -1/2 (* y x)) 1) y) (+ (* (* (* (* y y) x) x) -1/4) 1))) (/ (* (+ (* -1/2 (* y x)) 1) y) (+ (* (* (* (* y y) x) x) -1/4) 1)) (* (+ (* -1/2 (* y x)) 1) y) (+ (* -1/2 (* y x)) 1) (* y x) (/ -4 (* y x)) (* (* y y) x) (* (* (* y y) x) x))
2.0ms	y	@	0	((- x (/ y (+ (* (* y x) 1/2) 1))) (+ (* (+ (* (* y x) 1/2) -1) y) x) (* (+ (* (* y x) 1/2) -1) y) (+ (* (* y x) 1/2) -1) (- x (/ (* (+ (* -1/2 (* y x)) 1) y) (+ (* (pow (* y x) 2) -1/4) 1))) (/ (* (+ (* -1/2 (* y x)) 1) y) (+ (* (pow (* y x) 2) -1/4) 1)) (/ (- (/ -4 (* y x)) -2) x) (- (/ -4 (* y x)) -2) (- x (/ (* (+ (* -1/2 (* y x)) 1) y) (+ (* (* (* (* y y) x) x) -1/4) 1))) (/ (* (+ (* -1/2 (* y x)) 1) y) (+ (* (* (* (* y y) x) x) -1/4) 1)) (* (+ (* -1/2 (* y x)) 1) y) (+ (* -1/2 (* y x)) 1) (* y x) (/ -4 (* y x)) (* (* y y) x) (* (* (* y y) x) x))
2.0ms	y	@	inf	((- x (/ y (+ (* (* y x) 1/2) 1))) (+ (* (+ (* (* y x) 1/2) -1) y) x) (* (+ (* (* y x) 1/2) -1) y) (+ (* (* y x) 1/2) -1) (- x (/ (* (+ (* -1/2 (* y x)) 1) y) (+ (* (pow (* y x) 2) -1/4) 1))) (/ (* (+ (* -1/2 (* y x)) 1) y) (+ (* (pow (* y x) 2) -1/4) 1)) (/ (- (/ -4 (* y x)) -2) x) (- (/ -4 (* y x)) -2) (- x (/ (* (+ (* -1/2 (* y x)) 1) y) (+ (* (* (* (* y y) x) x) -1/4) 1))) (/ (* (+ (* -1/2 (* y x)) 1) y) (+ (* (* (* (* y y) x) x) -1/4) 1)) (* (+ (* -1/2 (* y x)) 1) y) (+ (* -1/2 (* y x)) 1) (* y x) (/ -4 (* y x)) (* (* y y) x) (* (* (* y y) x) x))
2.0ms	y	@	-inf	((- x (/ y (+ (* (* y x) 1/2) 1))) (+ (* (+ (* (* y x) 1/2) -1) y) x) (* (+ (* (* y x) 1/2) -1) y) (+ (* (* y x) 1/2) -1) (- x (/ (* (+ (* -1/2 (* y x)) 1) y) (+ (* (pow (* y x) 2) -1/4) 1))) (/ (* (+ (* -1/2 (* y x)) 1) y) (+ (* (pow (* y x) 2) -1/4) 1)) (/ (- (/ -4 (* y x)) -2) x) (- (/ -4 (* y x)) -2) (- x (/ (* (+ (* -1/2 (* y x)) 1) y) (+ (* (* (* (* y y) x) x) -1/4) 1))) (/ (* (+ (* -1/2 (* y x)) 1) y) (+ (* (* (* (* y y) x) x) -1/4) 1)) (* (+ (* -1/2 (* y x)) 1) y) (+ (* -1/2 (* y x)) 1) (* y x) (/ -4 (* y x)) (* (* y y) x) (* (* (* y y) x) x))

simplify505.0ms (3.1%)

Memory

3.5MiB live, 324.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	295	3624
1	942	3516
2	2573	3307
3	7168	3301
0	8163	3129

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 368

Calls

Call 1

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

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

rewrite184.0ms (1.1%)

Memory

-12.9MiB live, 270.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	212
0	63	212
1	258	204
2	2064	203
0	8870	201

Stop Event

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

Counts

16 → 462

Calls

Call 1

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

Outputs
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eval164.0ms (1%)

Memory: 2.7MiB live, 220.2MiB allocated
Compiler: Compiled 19 555 to 2 427 computations (87.6% saved)

prune25.0ms (0.2%)

Memory

21.7MiB live, 60.2MiB allocated

Pruning

11 alts after pruning (0 fresh and 11 done)

	Pruned	Kept	Total
New	898	0	898
Fresh	0	0	0
Picked	0	3	3
Done	0	8	8
Total	898	11	909

Accuracy

100.0%

Counts

909 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	68.9%	(-.f64 x (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y) (fma.f64 (.f64 (.f64 (*.f64 y y) x) x) #s(literal -1/4 binary64) #s(literal 1 binary64))))
✓	99.9%	(-.f64 x (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
✓	60.3%	(-.f64 x (/.f64 y #s(approx (+ (* (* y x) 1/2) 1) (.f64 (.f64 y x) #s(literal 1/2 binary64)))))
✓	57.8%	(-.f64 x #s(approx (/ (* (+ (* -1/2 (* y x)) 1) y) (+ (* (pow (* y x) 2) -1/4) 1)) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x)))
✓	57.3%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (.f64 (.f64 y y) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) y #s(literal -1/2 binary64))) x y)))
✓	60.3%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
✓	75.8%	#s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) (-.f64 x y))
✓	29.0%	#s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) #s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)))
✓	57.7%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) x x))
✓	28.0%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
✓	12.2%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (/ -2 (* x x)) x) x) (/.f64 #s(literal -2 binary64) x)))

Compiler

Compiled 300 to 165 computations (45% saved)

regimes53.0ms (0.3%)

Memory

-34.6MiB live, 15.3MiB allocated

Counts

19 → 1

Calls

Call 1

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

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

Calls

3 calls:

40.0ms	x
6.0ms	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
6.0ms	y

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 13 to 13 computations (0% saved)

regimes12.0ms (0.1%)

Memory

18.8MiB live, 18.8MiB allocated

Counts

11 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

4.0ms	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
4.0ms	y
4.0ms	x

Results

Accuracy	Segments	Branch
89.8%	3	`x`
89.3%	3	`y`
85.3%	3	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes4.0ms (0%)

Memory

5.7MiB live, 5.7MiB allocated

Counts

8 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
89.7%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes3.0ms (0%)

Memory

4.9MiB live, 4.9MiB allocated

Counts

6 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
89.7%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes28.0ms (0.2%)

Memory

-24.2MiB live, 12.0MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

3 calls:

24.0ms	(-.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
75.8%	1	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`
78.2%	2	`y`
75.8%	1	`x`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes4.0ms (0%)

Memory

9.4MiB live, 9.4MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
#s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) (-.f64 x y))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
75.8%	1	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`
75.8%	1	`y`

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes4.0ms (0%)

Memory

10.6MiB live, 10.6MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))

Outputs
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
28.0%	1	`x`
28.0%	1	`y`
28.0%	1	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`

Compiler

Compiled 13 to 13 computations (0% saved)

bsearch30.0ms (0.2%)

Memory

-14.8MiB live, 57.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	7.344680991098851e-31	5.56579838479532e-29
14.0ms	-1.2131504583203153e-5	-7.217562923249522e-7

Samples

12.0ms

224×

valid

Compiler

Compiled 259 to 245 computations (5.4% saved)

Precisions

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

ival-div: 3.0ms (40.6% of total)

ival-mult: 2.0ms (27% of total)

ival-sub: 1.0ms (13.5% of total)

ival-add: 1.0ms (13.5% of total)

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

6.4MiB live, 6.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	7.344680991098851e-31	5.56579838479532e-29
1.0ms	-1.2131504583203153e-5	-7.217562923249522e-7

Compiler

Compiled 238 to 238 computations (0% saved)

bsearch21.0ms (0.1%)

Memory

-19.8MiB live, 39.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
2.0ms	7.344680991098851e-31	5.56579838479532e-29
7.0ms	-1.2131504583203153e-5	-7.217562923249522e-7

Samples

5.0ms

96×

valid

Compiler

Compiled 154 to 182 computations (-18.2% saved)

Precisions

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

ival-div: 1.0ms (32% of total)

ival-mult: 1.0ms (32% of total)

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

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

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

exact: 0.0ms (0% of total)

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

bsearch12.0ms (0.1%)

Memory

26.2MiB live, 26.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	-4.6445192716836396e+182	-8.183792337437679e+180

Samples

6.0ms

112×

valid

Compiler

Compiled 77 to 98 computations (-27.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-div: 2.0ms (54.2% of total)

ival-add: 1.0ms (27.1% of total)

ival-mult: 1.0ms (27.1% of total)

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

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

exact: 0.0ms (0% of total)

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

simplify41.0ms (0.3%)

Memory

2.3MiB live, 80.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	259
1	64	259
2	76	259
3	83	259
4	87	259
5	88	259

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 x (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -8618318831237103/2361183241434822606848 binary64)) #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (/.f64 #s(literal -2 binary64) (.f64 x x)) x x)) (if (<=.f64 x #s(literal 7278963232800395/1427247692705959881058285969449495136382746624 binary64)) #s(approx (- x (/ y (+ 1 (/ ( x y) 2)))) (fma.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x)) (-.f64 x #s(approx (/ y (+ 1 (/ ( x y) 2))) (/.f64 #s(literal 2 binary64) x)))))
(if (<=.f64 x #s(literal -8618318831237103/2361183241434822606848 binary64)) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) (if (<=.f64 x #s(literal 7278963232800395/1427247692705959881058285969449495136382746624 binary64)) #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x)) (-.f64 x #s(approx (/ y (+ 1 (/ ( x y) 2))) (/.f64 #s(literal 2 binary64) x)))))
(if (<=.f64 x #s(literal -6788401819125115/590295810358705651712 binary64)) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) (if (<=.f64 x #s(literal 7849862309882779/1427247692705959881058285969449495136382746624 binary64)) #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y)) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))))
(if (<=.f64 y #s(literal -400000000000000025812479490895358238616843009641156679079343831330943237300081146225086039973498062806581531155580736720768779180369156202542819581291165316494631804871055283211730944 binary64)) #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (/ -2 (* x x)) x) x) (/.f64 #s(literal -2 binary64) x))) #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))

Outputs
(-.f64 x (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -8618318831237103/2361183241434822606848 binary64)) #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (/.f64 #s(literal -2 binary64) (.f64 x x)) x x)) (if (<=.f64 x #s(literal 7278963232800395/1427247692705959881058285969449495136382746624 binary64)) #s(approx (- x (/ y (+ 1 (/ ( x y) 2)))) (fma.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x)) (-.f64 x #s(approx (/ y (+ 1 (/ ( x y) 2))) (/.f64 #s(literal 2 binary64) x)))))
(if (<=.f64 x #s(literal -8618318831237103/2361183241434822606848 binary64)) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) (if (<=.f64 x #s(literal 7278963232800395/1427247692705959881058285969449495136382746624 binary64)) #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x)) (-.f64 x #s(approx (/ y (+ 1 (/ ( x y) 2))) (/.f64 #s(literal 2 binary64) x)))))
(if (<=.f64 x #s(literal -6788401819125115/590295810358705651712 binary64)) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) (if (<=.f64 x #s(literal 7849862309882779/1427247692705959881058285969449495136382746624 binary64)) #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y)) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))))
(if (<=.f64 y #s(literal -400000000000000025812479490895358238616843009641156679079343831330943237300081146225086039973498062806581531155580736720768779180369156202542819581291165316494631804871055283211730944 binary64)) #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (/ -2 (* x x)) x) x) (/.f64 #s(literal -2 binary64) x))) #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))

soundness786.0ms (4.8%)

Memory

5.8MiB live, 507.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	296	3777
1	946	3585
2	2687	3427
3	7269	3427
0	8178	3274
0	9	35
0	14	35
1	63	35
2	500	35
3	6873	35
0	8527	32
0	231	1053
1	738	1018
2	1944	987
3	6075	981
0	8419	934

Stop Event

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

Compiler

Compiled 198 to 113 computations (42.9% saved)

preprocess138.0ms (0.8%)

Memory: -6.5MiB live, 114.5MiB allocated
Compiler: Compiled 256 to 106 computations (58.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze9.1s (55.5%)

sample1.3s (7.6%)

explain153.0ms (0.9%)

preprocess62.0ms (0.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify30.0ms (0.2%)

localize24.0ms (0.1%)

series13.0ms (0.1%)

simplify178.0ms (1.1%)

rewrite149.0ms (0.9%)

eval63.0ms (0.4%)

prune14.0ms (0.1%)

simplify127.0ms (0.8%)

localize85.0ms (0.5%)

series38.0ms (0.2%)

simplify519.0ms (3.2%)

rewrite363.0ms (2.2%)

eval207.0ms (1.3%)

prune44.0ms (0.3%)

simplify113.0ms (0.7%)

localize187.0ms (1.1%)

series74.0ms (0.5%)

simplify420.0ms (2.6%)

rewrite241.0ms (1.5%)

eval375.0ms (2.3%)

prune50.0ms (0.3%)

simplify301.0ms (1.8%)

localize173.0ms (1%)

series35.0ms (0.2%)

simplify505.0ms (3.1%)

rewrite184.0ms (1.1%)

eval164.0ms (1%)

prune25.0ms (0.2%)

regimes53.0ms (0.3%)

regimes12.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes28.0ms (0.2%)

regimes4.0ms (0%)

regimes4.0ms (0%)

bsearch30.0ms (0.2%)

bsearch2.0ms (0%)

bsearch21.0ms (0.1%)

bsearch12.0ms (0.1%)

simplify41.0ms (0.3%)

soundness786.0ms (4.8%)

preprocess138.0ms (0.8%)

end0.0ms (0%)

Profiling