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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze25.0ms (0.4%)

Memory

26.7MiB live, 65.8MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
62.5%	62.4%	37.5%	0.1%	0%	0%	0%	5
68.8%	68.7%	31.2%	0.1%	0%	0%	0%	6
78.1%	78%	21.9%	0.1%	0%	0%	0%	7
82.8%	82.7%	17.2%	0.1%	0%	0%	0%	8
88.3%	88.2%	11.7%	0.1%	0%	0%	0%	9
91%	90.9%	9%	0.1%	0%	0%	0%	10
93.9%	93.9%	6%	0.1%	0%	0%	0%	11
95.4%	95.3%	4.6%	0.1%	0%	0%	0%	12

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample821.0ms (13.8%)

Memory

-10.8MiB live, 1 537.8MiB allocated

Samples

540.0ms	8 254×	0	valid
0.0ms	2×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 338.0ms

ival-div: 159.0ms (47% of total)

ival-mult: 68.0ms (20.1% of total)

ival-add: 48.0ms (14.2% of total)

ival-sub: 44.0ms (13% of total)

exact: 9.0ms (2.7% of total)

ival-true: 7.0ms (2.1% of total)

ival-assert: 3.0ms (0.9% of total)

adjust: 0.0ms (0% of total)

Bogosity

explain397.0ms (6.7%)

Memory

21.4MiB live, 182.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
30	-	-	`(/.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

252.0ms

512×

valid

Compiler

Compiled 93 to 31 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-add: 12.0ms (44.8% of total)

ival-div: 7.0ms (26.1% of total)

ival-mult: 4.0ms (14.9% of total)

ival-sub: 2.0ms (7.5% of total)

ival-true: 1.0ms (3.7% of total)

exact: 1.0ms (3.7% of total)

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

preprocess113.0ms (1.9%)

Memory

-24.0MiB live, 55.4MiB 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: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB 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)

simplify26.0ms (0.4%)

Memory

25.9MiB live, 25.9MiB 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)

localize72.0ms (1.2%)

Memory

-7.1MiB live, 31.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(/.f64 (*.f64 x y) #s(literal 2 binary64))
accuracy	0.00390625	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
accuracy	0.016288769536884032	(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))
accuracy	7.100503632448898	(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))

Samples

65.0ms

256×

valid

Compiler

Compiled 41 to 11 computations (73.2% saved)

Precisions

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

ival-div: 3.0ms (36.6% of total)

ival-mult: 2.0ms (24.4% of total)

ival-sub: 1.0ms (12.2% of total)

ival-add: 1.0ms (12.2% of total)

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

exact: 0.0ms (0% of total)

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

series62.0ms (1%)

Memory

-27.3MiB live, 10.5MiB allocated

Counts

4 → 96

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>) () ())

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 (* 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 (* 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>) () ())) ())
#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 (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 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 (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 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 (/ 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 (+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 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 (+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 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 (* 1/2 (* x y)) (taylor 0 x) (#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 x) (#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 x) (#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 x) (#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 x) (#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 x) (#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 x) (#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 x) (#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) (taylor 0 x) (#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 (* 1/2 (pow y 2)))) y) (taylor 0 x) (#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 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y) (taylor 0 x) (#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 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y) (taylor 0 x) (#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 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>) () ())) ())
#s(alt (+ y (* -1/2 (* x (pow y 2)))) (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>) () ())) ())
#s(alt (+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) (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>) () ())) ())
#s(alt (+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2))))) (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>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf x) (#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 x) (#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 x) (#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 x) (#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 x) (#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 (+ (* 1/2 y) (/ 1 x))) (taylor inf x) (#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 (+ (* 1/2 y) (/ 1 x))) (taylor inf x) (#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 (+ (* 1/2 y) (/ 1 x))) (taylor inf x) (#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 inf x) (#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 (* 2 (/ 1 (pow x 2))))) (taylor inf x) (#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 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2))))) (taylor inf x) (#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 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2)))))) (taylor inf x) (#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 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>) () ())) ())
#s(alt (/ (- 2 (* 4 (/ 1 (* x y)))) x) (taylor inf 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>) () ())) ())
#s(alt (/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x) (taylor inf 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>) () ())) ())
#s(alt (/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x) (taylor inf 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>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf x) (#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 x) (#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 x) (#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 x) (#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 x) (#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 (* x (- (* -1/2 y) (/ 1 x)))) (taylor -inf x) (#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 (* x (- (* -1/2 y) (/ 1 x)))) (taylor -inf x) (#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 (* x (- (* -1/2 y) (/ 1 x)))) (taylor -inf x) (#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 -inf x) (#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 (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1))) (taylor -inf x) (#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 (* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y)))))) (taylor -inf x) (#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 (* -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 (+.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 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>) () ())) ())
#s(alt (* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x)) (taylor -inf 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>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x)) (taylor -inf 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>) () ())) ())
#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 (+.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>) () ())) ())

Calls

6 calls:

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

simplify202.0ms (3.4%)

Memory

39.5MiB live, 116.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	231	981
1	738	946
2	1944	915
3	6075	909
0	8419	862

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 91

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)))))
(* 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))))
(* 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)))
(* 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)))))
(* 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)
(* 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))

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)
(* 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))
(* 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))
(* 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)
(* 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)
(* 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)

rewrite269.0ms (4.5%)

Memory

-19.6MiB live, 175.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
0	14	32
1	63	32
2	500	32
3	6873	32
0	8527	29

Stop Event

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

Counts

4 → 268

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))))

Outputs
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eval55.0ms (0.9%)

Memory: 24.5MiB live, 62.0MiB allocated
Compiler: Compiled 8 785 to 1 031 computations (88.3% saved)

prune22.0ms (0.4%)

Memory

-7.3MiB live, 30.8MiB allocated

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	348	11	359
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	349	11	360

Accuracy

100.0%

Counts

360 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.8%	(fma.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64)) y x)
	85.1%	(fma.f64 (/.f64 (neg.f64 y) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) x)
	71.0%	(fma.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
▶	99.9%	(-.f64 x (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))))
	62.4%	(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (.f64 (.f64 y #s(literal 1/2 binary64)) x))))
▶	99.9%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) y)))
▶	62.4%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
	61.9%	#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))
▶	57.6%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) x x))
	71.1%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
▶	26.1%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))

Compiler

Compiled 238 to 182 computations (23.5% saved)

simplify114.0ms (1.9%)

Memory

-10.8MiB live, 73.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 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 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) y)))
cost-diff	320	(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) y)
cost-diff	384	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) 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 #s(literal 1/2 binary64) y)
cost-diff	0	(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))
cost-diff	0	(/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64)))
cost-diff	0	(-.f64 x (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	162
0	47	158
1	80	158
2	134	152
3	214	148
4	382	148
5	661	148
6	1273	147
7	2221	147
8	5483	147
0	8251	146

Stop Event

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

Calls

Call 1

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

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

localize79.0ms (1.3%)

Memory

1.1MiB live, 118.2MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) y)))
accuracy	0.016288769536884032	(fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))
accuracy	0.09375	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) y))
accuracy	7.082347355346025	(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) y)
accuracy	0	(*.f64 x x)
accuracy	0.46874956970332105	(/.f64 #s(literal -2 binary64) (*.f64 x x))
accuracy	18.74556578093452	(fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) x x)
accuracy	24.04219845107841	#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	31.906963363654928	#s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))
accuracy	0	(neg.f64 y)
accuracy	47.30812738053146	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
accuracy	0	(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))
accuracy	0	(*.f64 #s(literal 1/2 binary64) y)
accuracy	0.00390625	(-.f64 x (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))))
accuracy	7.100503632448898	(/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64)))

Samples

49.0ms

256×

valid

Compiler

Compiled 152 to 30 computations (80.3% saved)

Precisions

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

ival-div: 11.0ms (32% of total)

ival-mult: 11.0ms (32% of total)

ival-add: 7.0ms (20.4% of total)

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

ival-neg: 1.0ms (2.9% of total)

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

exact: 0.0ms (0% of total)

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

series22.0ms (0.4%)

Memory

-0.7MiB live, 36.5MiB allocated

Counts

17 → 336

Calls

Call 1

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

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

Calls

6 calls:

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

simplify190.0ms (3.2%)

Memory

13.1MiB live, 245.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	239	3437
1	756	3266
2	1964	3093
3	6597	3087
0	8361	2942

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 313

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

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

rewrite157.0ms (2.6%)

Memory

15.5MiB live, 253.9MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	146
0	47	138
1	227	138
2	1248	132
0	8563	132

Stop Event

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

Counts

17 → 554

Calls

Call 1

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

Outputs
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eval172.0ms (2.9%)

Memory: -12.3MiB live, 319.7MiB allocated
Compiler: Compiled 16 681 to 1 768 computations (89.4% saved)

prune30.0ms (0.5%)

Memory

-33.1MiB live, 90.0MiB allocated

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	861	6	867
Fresh	5	1	6
Picked	1	4	5
Done	0	0	0
Total	867	11	878

Accuracy

100.0%

Counts

878 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	85.1%	(fma.f64 (/.f64 (neg.f64 y) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) x)
✓	99.9%	(-.f64 x (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))))
▶	62.4%	(-.f64 x (/.f64 y #s(approx (+ (* (* 1/2 y) x) 1) (.f64 (.f64 y x) #s(literal 1/2 binary64)))))
▶	99.9%	(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/2 (* y x)) 1) y) (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) y)))))
	99.9%	(-.f64 x (.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
✓	62.4%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
▶	61.9%	#s(approx (- x (/ y (+ (* (* 1/2 y) x) 1))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x))
▶	71.1%	#s(approx (- x (/ y (+ (* (* 1/2 y) x) 1))) (-.f64 x y))
✓	57.6%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) x x))
✓	26.1%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
▶	15.0%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (/ -2 (* x x)) x) x) (/.f64 #s(literal -2 binary64) x)))

Compiler

Compiled 174 to 143 computations (17.8% saved)

simplify228.0ms (3.8%)

Memory

33.9MiB live, 192.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	229
0	57	229
1	93	229
2	146	221
3	247	221
4	424	221
5	893	221
6	1653	221
7	3055	221
8	6555	221
0	8333	212

Stop Event

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

Calls

Call 1

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

localize180.0ms (3%)

Memory

-23.5MiB live, 135.5MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(-.f64 x (/.f64 y #s(approx (+ (* (* 1/2 y) x) 1) (.f64 (.f64 y x) #s(literal 1/2 binary64)))))
accuracy	0.00390625	(.f64 (.f64 y x) #s(literal 1/2 binary64))
accuracy	7.100503632448898	(/.f64 y #s(approx (+ (* (* 1/2 y) x) 1) (.f64 (.f64 y x) #s(literal 1/2 binary64))))
accuracy	31.840612052963362	#s(approx (+ (* (* 1/2 y) x) 1) (.f64 (.f64 y x) #s(literal 1/2 binary64)))
accuracy	0	(*.f64 y x)
accuracy	0.00390625	(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64))
accuracy	0.0390625	(fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x)
accuracy	24.407506227674617	#s(approx (- x (/ y (+ (* (* 1/2 y) x) 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	24.04219845107841	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (/ -2 (* x x)) x) x) (/.f64 #s(literal -2 binary64) x)))
accuracy	30.618732100952652	#s(approx (+ (* (/ -2 (* x x)) x) x) (/.f64 #s(literal -2 binary64) x))
accuracy	0	(-.f64 x y)
accuracy	18.476344364455855	#s(approx (- x (/ y (+ (* (* 1/2 y) x) 1))) (-.f64 x y))
accuracy	0	#s(approx (/ (+ (* 1/2 (* y x)) 1) y) (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) y)))
accuracy	0.00390625	(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/2 (* y x)) 1) y) (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) y)))))
accuracy	0.01953125	(fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) y))
accuracy	0.09375	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/2 (* y x)) 1) y) (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) y))))

Samples

159.0ms

256×

valid

Compiler

Compiled 164 to 38 computations (76.8% saved)

Precisions

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

ival-div: 15.0ms (34.5% of total)

ival-mult: 15.0ms (34.5% of total)

ival-add: 8.0ms (18.4% of total)

ival-sub: 5.0ms (11.5% of total)

exact: 1.0ms (2.3% of total)

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

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

series59.0ms (1%)

Memory

4.3MiB live, 42.5MiB allocated

Counts

17 → 384

Calls

Call 1

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

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

Calls

6 calls:

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

simplify262.0ms (4.4%)

Memory

28.5MiB live, 184.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	285	3563
1	892	3424
2	2390	3235
3	7687	3231
0	8607	3046

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 359

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

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

rewrite207.0ms (3.5%)

Memory

-20.6MiB live, 256.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	208
0	57	208
1	300	208
2	1962	200
0	8707	191

Stop Event

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

Counts

17 → 310

Calls

Call 1

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

Outputs
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eval123.0ms (2.1%)

Memory: -3.2MiB live, 150.9MiB allocated
Compiler: Compiled 10 599 to 1 352 computations (87.2% saved)

prune22.0ms (0.4%)

Memory

20.9MiB live, 58.1MiB allocated

Pruning

11 alts after pruning (4 fresh and 7 done)

	Pruned	Kept	Total
New	693	2	695
Fresh	0	2	2
Picked	1	4	5
Done	1	3	4
Total	695	11	706

Accuracy

100.0%

Counts

706 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	85.1%	(fma.f64 (/.f64 (neg.f64 y) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) x)
✓	99.9%	(-.f64 x (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))))
✓	62.4%	(-.f64 x (/.f64 y #s(approx (+ (* (* 1/2 y) x) 1) (.f64 (.f64 y x) #s(literal 1/2 binary64)))))
✓	99.9%	(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/2 (* y x)) 1) y) (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) y)))))
▶	99.9%	(-.f64 x (.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
✓	62.4%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
✓	71.1%	#s(approx (- x (/ y (+ (* (* 1/2 y) x) 1))) (-.f64 x y))
▶	26.9%	#s(approx (- x (/ y (+ (* (* 1/2 y) x) 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)))
✓	26.1%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
✓	15.0%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (/ -2 (* x x)) x) x) (/.f64 #s(literal -2 binary64) x)))
▶	10.3%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (/ -2 (* x x)) x) x) (.f64 (/.f64 #s(literal -2 binary64) (.f64 x x)) x)))

Compiler

Compiled 101 to 86 computations (14.9% saved)

simplify194.0ms (3.3%)

Memory

-28.0MiB live, 143.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (*.f64 y x) #s(literal 2 binary64))
cost-diff	0	(fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))
cost-diff	0	(neg.f64 y)
cost-diff	128	(/.f64 (neg.f64 y) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)))
cost-diff	0	(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
cost-diff	0	(-.f64 x (.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
cost-diff	448	(.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
cost-diff	576	(/.f64 y #s(literal -1 binary64))
cost-diff	0	(*.f64 y x)
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 (+ (* (* 1/2 y) x) 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)))
cost-diff	0	(/.f64 #s(literal -2 binary64) (*.f64 x x))
cost-diff	0	#s(approx (+ (* (/ -2 (* x x)) x) x) (.f64 (/.f64 #s(literal -2 binary64) (.f64 x x)) x))
cost-diff	0	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (/ -2 (* x x)) x) x) (.f64 (/.f64 #s(literal -2 binary64) (.f64 x x)) x)))
cost-diff	640	(.f64 (/.f64 #s(literal -2 binary64) (.f64 x x)) x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	245
0	70	245
1	130	241
2	287	215
3	794	214
4	2568	214
5	4601	214
6	5583	214
7	6397	214
8	7140	214
9	7755	214
10	7918	214
0	8120	210

Stop Event

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

Calls

Call 1

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

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

localize113.0ms (1.9%)

Memory

31.4MiB live, 151.2MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.016288769536884032	(fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))
accuracy	0.234375	(pow.f64 (*.f64 y x) #s(literal 2 binary64))
accuracy	3.833452257856269	(/.f64 (neg.f64 y) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)))
accuracy	7.339495066329311	(fma.f64 (/.f64 (neg.f64 y) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) x)
accuracy	0.00390625	(-.f64 x (.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
accuracy	0.016288769536884032	(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))
accuracy	0.20587705778525955	(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
accuracy	6.892253208910481	(.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
accuracy	0.00390625	(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64))
accuracy	0.078125	(.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)
accuracy	22.779281243945523	#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	24.407506227674617	#s(approx (- x (/ y (+ (* (* 1/2 y) x) 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	0.46874956970332105	(/.f64 #s(literal -2 binary64) (*.f64 x x))
accuracy	24.04219845107841	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (/ -2 (* x x)) x) x) (.f64 (/.f64 #s(literal -2 binary64) (.f64 x x)) x)))
accuracy	30.618732100952652	#s(approx (+ (* (/ -2 (* x x)) x) x) (.f64 (/.f64 #s(literal -2 binary64) (.f64 x x)) x))
accuracy	33.50146189841758	(.f64 (/.f64 #s(literal -2 binary64) (.f64 x x)) x)

Samples

89.0ms

256×

valid

Compiler

Compiled 205 to 44 computations (78.5% saved)

Precisions

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

ival-mult: 41.0ms (57% of total)

ival-div: 11.0ms (15.3% of total)

ival-add: 10.0ms (13.9% of total)

ival-sub: 5.0ms (6.9% of total)

ival-pow2: 3.0ms (4.2% of total)

exact: 1.0ms (1.4% of total)

ival-neg: 1.0ms (1.4% of total)

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

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

series53.0ms (0.9%)

Memory

-19.6MiB live, 53.7MiB allocated

Counts

19 → 396

Calls

Call 1

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

Outputs
#s(alt x (taylor 0 y) (#s(alt #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (/ -2 (* x x)) x) x) (.f64 (/.f64 #s(literal -2 binary64) (.f64 x x)) x))) (patch #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (/ -2 (* x x)) x) x) (.f64 (/.f64 #s(literal -2 binary64) (.f64 x x)) 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 (/.f64 #s(literal -2 binary64) (.f64 x x)) x))) (patch #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (/ -2 (* x x)) x) x) (.f64 (/.f64 #s(literal -2 binary64) (.f64 x x)) 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 (/.f64 #s(literal -2 binary64) (.f64 x x)) x))) (patch #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (/ -2 (* x x)) x) x) (.f64 (/.f64 #s(literal -2 binary64) (.f64 x x)) 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 (/.f64 #s(literal -2 binary64) (.f64 x x)) x))) (patch #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (/ -2 (* x x)) x) x) (.f64 (/.f64 #s(literal -2 binary64) (.f64 x x)) x))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt #s(approx (- x (/ y (+ (* (* 1/2 y) x) 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 (+ (* (* 1/2 y) x) 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 (+ (* (* 1/2 y) x) 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 (+ (* (* 1/2 y) x) 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 (+ (* (* 1/2 y) x) 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 (+ (* (* 1/2 y) x) 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>) () ())) ())
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#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>) () ())) ())
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#s(alt (* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x)) (taylor -inf x) (#s(alt (.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (patch (.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 y x) #s(literal 1/2 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 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (patch (.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 y x) #s(literal 1/2 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 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (patch (.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (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 (.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))))) (patch (-.f64 x (.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1))) (taylor -inf x) (#s(alt (-.f64 x (.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))))) (patch (-.f64 x (.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 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 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))))) (patch (-.f64 x (.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 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 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))))) (patch (-.f64 x (.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ -2 (* x y)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* 2 (/ 1 y)) (* 4 (/ 1 (* x (pow y 2))))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (- (* 4 (/ 1 (pow y 2))) (* 8 (/ 1 (* x (pow y 3))))) x)) (* 2 (/ 1 y))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow y 3))) (* 16 (/ 1 (* x (pow y 4))))) x)) (* 4 (/ 1 (pow y 2)))) x)) (* 2 (/ 1 y))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 4 (* (pow x 2) y)) (taylor -inf x) (#s(alt (/.f64 (neg.f64 y) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))) (patch (/.f64 (neg.f64 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 (/ (+ (* 4 (/ 1 y)) (* 16 (/ 1 (* (pow x 2) (pow y 3))))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (neg.f64 y) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))) (patch (/.f64 (neg.f64 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 (/ (+ (* 4 (/ 1 y)) (+ (/ 16 (* (pow x 2) (pow y 3))) (/ 64 (* (pow x 4) (pow y 5))))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (neg.f64 y) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))) (patch (/.f64 (neg.f64 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 (/ (+ (* 4 (/ 1 y)) (+ (* 64 (/ 1 (* (pow x 4) (pow y 5)))) (+ (* 256 (/ 1 (* (pow x 6) (pow y 7)))) (/ 16 (* (pow x 2) (pow y 3)))))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (neg.f64 y) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))) (patch (/.f64 (neg.f64 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 (* -1/4 (* (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)) (patch (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1/4 (pow y 2)) (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)) (patch (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1/4 (pow y 2)) (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)) (patch (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1/4 (pow y 2)) (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)) (patch (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 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>) () ())) ())
#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 (* 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 (fma.f64 (/.f64 (neg.f64 y) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) x) (patch (fma.f64 (/.f64 (neg.f64 y) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (neg.f64 y) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) x) (patch (fma.f64 (/.f64 (neg.f64 y) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y)))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (neg.f64 y) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) x) (patch (fma.f64 (/.f64 (neg.f64 y) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) x) #<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 (fma.f64 (/.f64 (neg.f64 y) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) x) (patch (fma.f64 (/.f64 (neg.f64 y) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
21.0ms	y	@	inf	((* (/ -2 (* x x)) x) (- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (/ -2 (* x x)) x) x) (/ -2 (* x x)) (- x (/ y (+ (* (* 1/2 y) x) 1))) (+ (* (+ (* (* y x) 1/2) -1) y) x) (* (+ (* (* y x) 1/2) -1) y) (* y x) (/ y -1) (* (/ y -1) (/ -1 (+ (* (* y x) 1/2) 1))) (- x (* (/ y -1) (/ -1 (+ (* (* y x) 1/2) 1)))) (/ -1 (+ (* (* y x) 1/2) 1)) (/ (neg y) (+ (* (pow (* y x) 2) -1/4) 1)) (neg y) (+ (* (pow (* y x) 2) -1/4) 1) (pow (* y x) 2) (+ (* (* y x) 1/2) -1) (+ (* (* y x) 1/2) 1) (+ (* (/ (neg y) (+ (* (pow (* y x) 2) -1/4) 1)) (+ (* -1/2 (* y x)) 1)) x))
3.0ms	x	@	inf	((* (/ -2 (* x x)) x) (- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (/ -2 (* x x)) x) x) (/ -2 (* x x)) (- x (/ y (+ (* (* 1/2 y) x) 1))) (+ (* (+ (* (* y x) 1/2) -1) y) x) (* (+ (* (* y x) 1/2) -1) y) (* y x) (/ y -1) (* (/ y -1) (/ -1 (+ (* (* y x) 1/2) 1))) (- x (* (/ y -1) (/ -1 (+ (* (* y x) 1/2) 1)))) (/ -1 (+ (* (* y x) 1/2) 1)) (/ (neg y) (+ (* (pow (* y x) 2) -1/4) 1)) (neg y) (+ (* (pow (* y x) 2) -1/4) 1) (pow (* y x) 2) (+ (* (* y x) 1/2) -1) (+ (* (* y x) 1/2) 1) (+ (* (/ (neg y) (+ (* (pow (* y x) 2) -1/4) 1)) (+ (* -1/2 (* y x)) 1)) x))
2.0ms	y	@	-inf	((* (/ -2 (* x x)) x) (- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (/ -2 (* x x)) x) x) (/ -2 (* x x)) (- x (/ y (+ (* (* 1/2 y) x) 1))) (+ (* (+ (* (* y x) 1/2) -1) y) x) (* (+ (* (* y x) 1/2) -1) y) (* y x) (/ y -1) (* (/ y -1) (/ -1 (+ (* (* y x) 1/2) 1))) (- x (* (/ y -1) (/ -1 (+ (* (* y x) 1/2) 1)))) (/ -1 (+ (* (* y x) 1/2) 1)) (/ (neg y) (+ (* (pow (* y x) 2) -1/4) 1)) (neg y) (+ (* (pow (* y x) 2) -1/4) 1) (pow (* y x) 2) (+ (* (* y x) 1/2) -1) (+ (* (* y x) 1/2) 1) (+ (* (/ (neg y) (+ (* (pow (* y x) 2) -1/4) 1)) (+ (* -1/2 (* y x)) 1)) x))
2.0ms	x	@	0	((* (/ -2 (* x x)) x) (- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (/ -2 (* x x)) x) x) (/ -2 (* x x)) (- x (/ y (+ (* (* 1/2 y) x) 1))) (+ (* (+ (* (* y x) 1/2) -1) y) x) (* (+ (* (* y x) 1/2) -1) y) (* y x) (/ y -1) (* (/ y -1) (/ -1 (+ (* (* y x) 1/2) 1))) (- x (* (/ y -1) (/ -1 (+ (* (* y x) 1/2) 1)))) (/ -1 (+ (* (* y x) 1/2) 1)) (/ (neg y) (+ (* (pow (* y x) 2) -1/4) 1)) (neg y) (+ (* (pow (* y x) 2) -1/4) 1) (pow (* y x) 2) (+ (* (* y x) 1/2) -1) (+ (* (* y x) 1/2) 1) (+ (* (/ (neg y) (+ (* (pow (* y x) 2) -1/4) 1)) (+ (* -1/2 (* y x)) 1)) x))
2.0ms	y	@	0	((* (/ -2 (* x x)) x) (- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (/ -2 (* x x)) x) x) (/ -2 (* x x)) (- x (/ y (+ (* (* 1/2 y) x) 1))) (+ (* (+ (* (* y x) 1/2) -1) y) x) (* (+ (* (* y x) 1/2) -1) y) (* y x) (/ y -1) (* (/ y -1) (/ -1 (+ (* (* y x) 1/2) 1))) (- x (* (/ y -1) (/ -1 (+ (* (* y x) 1/2) 1)))) (/ -1 (+ (* (* y x) 1/2) 1)) (/ (neg y) (+ (* (pow (* y x) 2) -1/4) 1)) (neg y) (+ (* (pow (* y x) 2) -1/4) 1) (pow (* y x) 2) (+ (* (* y x) 1/2) -1) (+ (* (* y x) 1/2) 1) (+ (* (/ (neg y) (+ (* (pow (* y x) 2) -1/4) 1)) (+ (* -1/2 (* y x)) 1)) x))

simplify208.0ms (3.5%)

Memory

5.5MiB live, 197.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	463	4101
1	1413	3981
2	3773	3901
0	8175	3689

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 379

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 (- (* 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))
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
y
(* y (+ 1 (* -1/2 (* x y))))
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))
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
(- (* 1/2 (* x y)) 1)
(- (* y (- (* -1/4 (* (pow x 2) y)) (* -1/2 x))) 1)
(- (* y (- (* y (- (* 1/8 (* (pow x 3) y)) (* 1/4 (pow x 2)))) (* -1/2 x))) 1)
(* -1 y)
(* y (- (* -1/4 (* (pow x 2) (pow y 2))) 1))
(* y (- (* (pow y 2) (+ (* -1/4 (pow x 2)) (* -1/16 (* (pow x 4) (pow y 2))))) 1))
(* y (- (* (pow y 2) (+ (* -1/4 (pow x 2)) (* (pow y 2) (+ (* -1/16 (pow x 4)) (* -1/64 (* (pow x 6) (pow y 2))))))) 1))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
1
(+ 1 (* -1/4 (* (pow x 2) (pow y 2))))
(+ 1 (* -1/4 (* (pow x 2) (pow y 2))))
(+ 1 (* -1/4 (* (pow x 2) (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
(- (* 1/2 (* x y)) 1)
(- (* 1/2 (* x y)) 1)
(- (* 1/2 (* x y)) 1)
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 (* 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)))))
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(* 1/2 (* x (pow y 2)))
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1
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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)
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x
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(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(fma.f64 (fma.f64 (.f64 y (fma.f64 (.f64 #s(literal -1/4 binary64) x) y #s(literal 1/2 binary64))) x #s(literal -1 binary64)) y x)
x
(+ x (* -1 y))
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(fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x)
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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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(.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)
(* x y)
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(- (* y (- (* y (- (* 1/8 (* (pow x 3) y)) (* 1/4 (pow x 2)))) (* -1/2 x))) 1)
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(* -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))))))
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x
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
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(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
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)))
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(* -1 (* x (- (* -1/2 (pow y 2)) 1)))
(.f64 (fma.f64 (.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(* -1 (* x (- (+ (* -1/2 (pow y 2)) (/ y x)) 1)))
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(* 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 (.f64 y (fma.f64 #s(literal 1/2 binary64) y (/.f64 #s(literal -1 binary64) x))) x)
(* -1 (* x (+ (* -1/2 (pow y 2)) (/ y x))))
(.f64 (.f64 y (fma.f64 #s(literal 1/2 binary64) y (/.f64 #s(literal -1 binary64) x))) x)
(* -1 (* x (+ (* -1/2 (pow y 2)) (/ y x))))
(.f64 (.f64 y (fma.f64 #s(literal 1/2 binary64) y (/.f64 #s(literal -1 binary64) x))) x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y x))) x)
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
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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))))))
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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 y))
(/.f64 (/.f64 #s(literal -2 binary64) y) x)
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(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal 2 binary64)) x) y)
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(* (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)
(* 1/2 (* x y))
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(* -1 (* x (+ (* -1/2 y) (/ 1 x))))
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(* -1 (* x (+ (* -1/2 y) (/ 1 x))))
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64))
(* 1/2 (* x y))
(.f64 (.f64 y x) #s(literal 1/2 binary64))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #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))))))
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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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rewrite219.0ms (3.7%)

Memory

22.9MiB live, 261.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	213
0	70	212
1	328	202
2	2440	182
0	8491	180

Stop Event

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

Counts

19 → 504

Calls

Call 1

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

Outputs
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eval184.0ms (3.1%)

Memory: 17.2MiB live, 314.5MiB allocated
Compiler: Compiled 19 243 to 2 438 computations (87.3% saved)

prune33.0ms (0.6%)

Memory

-9.1MiB live, 117.0MiB allocated

Pruning

11 alts after pruning (2 fresh and 9 done)

	Pruned	Kept	Total
New	983	2	985
Fresh	0	0	0
Picked	2	2	4
Done	0	7	7
Total	985	11	996

Accuracy

100.0%

Counts

996 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.8%	(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))) y x)
	42.6%	(fma.f64 #s(approx (/ (neg y) (+ (* (pow (* y x) 2) -1/4) 1)) (/.f64 #s(literal 4 binary64) (.f64 (.f64 x x) y))) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) x)
✓	99.9%	(-.f64 x (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))))
✓	62.4%	(-.f64 x (/.f64 y #s(approx (+ (* (* 1/2 y) x) 1) (.f64 (.f64 y x) #s(literal 1/2 binary64)))))
✓	99.9%	(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/2 (* y x)) 1) y) (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) y)))))
✓	62.4%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
✓	71.1%	#s(approx (- x (/ y (+ (* (* 1/2 y) x) 1))) (-.f64 x y))
✓	26.9%	#s(approx (- x (/ y (+ (* (* 1/2 y) x) 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)))
✓	26.1%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
✓	15.0%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (/ -2 (* x x)) x) x) (/.f64 #s(literal -2 binary64) x)))
✓	10.3%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (/ -2 (* x x)) x) x) (.f64 (/.f64 #s(literal -2 binary64) (.f64 x x)) x)))

Compiler

Compiled 325 to 174 computations (46.5% saved)

regimes23.0ms (0.4%)

Memory

12.9MiB live, 51.0MiB allocated

Counts

22 → 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 (+ (* (* 1/2 y) x) 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 (+ (* (* 1/2 y) x) 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 (+ (* (* 1/2 y) x) 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)))) #s(approx (+ (* (/ -2 (* x x)) x) x) (.f64 (/.f64 #s(literal -2 binary64) (.f64 x x)) 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 (+ (* (* 1/2 y) x) 1) (.f64 (.f64 y x) #s(literal 1/2 binary64)))))
(-.f64 x (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))) y x)
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/2 (* y x)) 1) y) (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) y)))))
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) y)))
(fma.f64 #s(approx (/ (neg y) (+ (* (pow (* y x) 2) -1/4) 1)) (/.f64 #s(literal 4 binary64) (.f64 (.f64 x x) y))) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) x)
(-.f64 x (.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(fma.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64)) y x)
(fma.f64 (/.f64 (neg.f64 y) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) x)
(fma.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)

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

Calls

3 calls:

8.0ms	y
7.0ms	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
7.0ms	x

Results

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

Compiler

Compiled 13 to 13 computations (0% saved)

regimes138.0ms (2.3%)

Memory

-7.9MiB live, 27.6MiB allocated

Counts

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

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

3 calls:

129.0ms	y
4.0ms	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
4.0ms	x

Results

Accuracy	Segments	Branch
85.6%	3	`x`
89.9%	3	`y`
88.7%	5	`(-.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)

regimes7.0ms (0.1%)

Memory

13.0MiB live, 13.0MiB allocated

Counts

4 → 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 (+ (* (* 1/2 y) x) 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))

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

Calls

3 calls:

2.0ms	(-.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
71.1%	1	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`
71.1%	1	`x`
78.6%	3	`y`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes4.0ms (0.1%)

Memory

8.3MiB live, 8.3MiB 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 (+ (* (* 1/2 y) x) 1))) (-.f64 x y))

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

Calls

2 calls:

2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
71.1%	1	`x`
71.1%	1	`y`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes8.0ms (0.1%)

Memory

-23.1MiB live, 13.8MiB 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:

4.0ms	x
1.0ms	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
1.0ms	y

Results

Accuracy	Segments	Branch
26.1%	1	`y`
26.1%	1	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`
26.1%	1	`x`

Compiler

Compiled 13 to 13 computations (0% saved)

bsearch53.0ms (0.9%)

Memory

-28.3MiB live, 50.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
40.0ms	5.190401660503061e+55	1.2585663485566818e+57
10.0ms	-7.79900545719498e+166	-1.6954814028470354e+165

Samples

12.0ms

224×

valid

Compiler

Compiled 154 to 182 computations (-18.2% saved)

Precisions

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

ival-div: 3.0ms (41.4% of total)

ival-mult: 2.0ms (27.6% of total)

ival-sub: 1.0ms (13.8% of total)

ival-add: 1.0ms (13.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch33.0ms (0.6%)

Memory

3.9MiB live, 41.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	3.5496057980484816e+216	1.511892472501715e+226
13.0ms	-2.3406091214848412e+219	-7.572413237894442e+210

Samples

16.0ms

288×

valid

Compiler

Compiled 176 to 230 computations (-30.7% saved)

Precisions

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

ival-div: 4.0ms (43.7% of total)

ival-mult: 2.0ms (21.9% of total)

ival-sub: 1.0ms (10.9% of total)

ival-add: 1.0ms (10.9% of total)

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

exact: 0.0ms (0% of total)

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

simplify52.0ms (0.9%)

Memory

-17.7MiB live, 58.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	165
1	53	165
2	65	165
3	72	165
4	76	165
5	77	165

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 x (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -1700000000000000054178423160976677939703670936456360429466957941515088884088856837056887372410872953749002442208009085488549169475663796117733437644752845064162508800 binary64)) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) (if (<=.f64 y #s(literal 1020000000000000045829134520594322372814006762707018055680 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 -21500000000000000307473156139860133858982072011215172183479502342925961133997366985444930683571044996603212480066545987335554006385581247877476973447741740796973565151613169470076534272137775356182836686765350551814144 binary64)) #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (/ -2 (* x x)) x) x) (/.f64 #s(literal -2 binary64) x))) (if (<=.f64 y #s(literal 210000000000000016207443839657138368321354498214526203337785538302055536785710553414104650103409837519138981127135042748404819354375874518398904773998606322630556091703045647266889958658426197450489842710663780466273686650880 binary64)) #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.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 (- 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 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -1700000000000000054178423160976677939703670936456360429466957941515088884088856837056887372410872953749002442208009085488549169475663796117733437644752845064162508800 binary64)) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) (if (<=.f64 y #s(literal 1020000000000000045829134520594322372814006762707018055680 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 -21500000000000000307473156139860133858982072011215172183479502342925961133997366985444930683571044996603212480066545987335554006385581247877476973447741740796973565151613169470076534272137775356182836686765350551814144 binary64)) #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (/ -2 (* x x)) x) x) (/.f64 #s(literal -2 binary64) x))) (if (<=.f64 y #s(literal 210000000000000016207443839657138368321354498214526203337785538302055536785710553414104650103409837519138981127135042748404819354375874518398904773998606322630556091703045647266889958658426197450489842710663780466273686650880 binary64)) #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.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 (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))

soundness677.0ms (11.4%)

Memory

12.2MiB live, 531.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
0	14	32
1	63	32
2	500	32
3	6873	32
0	8527	29
0	231	981
1	738	946
2	1944	915
3	6075	909
0	8419	862
0	239	3437
1	756	3266
2	1964	3093
3	6597	3087
0	8361	2942

Stop Event

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

Compiler

Compiled 108 to 71 computations (34.3% saved)

preprocess36.0ms (0.6%)

Memory: 12.0MiB live, 86.6MiB allocated
Compiler: Compiled 148 to 82 computations (44.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze25.0ms (0.4%)

sample821.0ms (13.8%)

explain397.0ms (6.7%)

preprocess113.0ms (1.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify26.0ms (0.4%)

localize72.0ms (1.2%)

series62.0ms (1%)

simplify202.0ms (3.4%)

rewrite269.0ms (4.5%)

eval55.0ms (0.9%)

prune22.0ms (0.4%)

simplify114.0ms (1.9%)

localize79.0ms (1.3%)

series22.0ms (0.4%)

simplify190.0ms (3.2%)

rewrite157.0ms (2.6%)

eval172.0ms (2.9%)

prune30.0ms (0.5%)

simplify228.0ms (3.8%)

localize180.0ms (3%)

series59.0ms (1%)

simplify262.0ms (4.4%)

rewrite207.0ms (3.5%)

eval123.0ms (2.1%)

prune22.0ms (0.4%)

simplify194.0ms (3.3%)

localize113.0ms (1.9%)

series53.0ms (0.9%)

simplify208.0ms (3.5%)

rewrite219.0ms (3.7%)

eval184.0ms (3.1%)

prune33.0ms (0.6%)

regimes23.0ms (0.4%)

regimes138.0ms (2.3%)

regimes7.0ms (0.1%)

regimes4.0ms (0.1%)

regimes8.0ms (0.1%)

bsearch53.0ms (0.9%)

bsearch33.0ms (0.6%)

simplify52.0ms (0.9%)

soundness677.0ms (11.4%)

preprocess36.0ms (0.6%)

end0.0ms (0%)

Profiling