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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze21.0ms (0.3%)

Memory

16.4MiB live, 16.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample1.1s (16.8%)

Memory

38.8MiB live, 1 218.1MiB allocated

Samples

812.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 525.0ms

ival-div: 171.0ms (32.6% of total)

ival-mult: 153.0ms (29.2% of total)

ival-add: 148.0ms (28.2% of total)

ival-sub: 36.0ms (6.9% of total)

exact: 8.0ms (1.5% of total)

ival-true: 6.0ms (1.1% of total)

ival-assert: 3.0ms (0.6% of total)

Bogosity

explain104.0ms (1.6%)

Memory

-3.4MiB live, 236.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
31	-	-	`(/.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

34.0ms

512×

valid

Compiler

Compiled 95 to 31 computations (67.4% saved)

Precisions

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

ival-div: 6.0ms (34.4% of total)

ival-mult: 5.0ms (28.7% of total)

ival-sub: 2.0ms (11.5% of total)

ival-add: 2.0ms (11.5% of total)

exact: 1.0ms (5.7% of total)

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

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

preprocess62.0ms (1%)

Memory

-27.7MiB live, 103.5MiB allocated

Algorithm

1×	egg-herbie

Rules

384×	`lower-fma.f64`
384×	`lower-fma.f32`
272×	`lower-*.f32`
270×	`lower-*.f64`
224×	`associate-l`

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 13 to 9 computations (30.8% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify28.0ms (0.4%)

Memory

-7.7MiB live, 30.8MiB 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))

Rules

384×	`lower-fma.f64`
384×	`lower-fma.f32`
272×	`lower-*.f32`
270×	`lower-*.f64`
224×	`associate-l`

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)

localize25.0ms (0.4%)

Memory

6.0MiB live, 44.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
accuracy	0	(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))
accuracy	0	(*.f64 x y)
accuracy	7.27138013827074	(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))

Samples

16.0ms

256×

valid

Compiler

Compiled 41 to 11 computations (73.2% saved)

Precisions

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

ival-div: 4.0ms (46.4% of total)

ival-mult: 2.0ms (23.2% of total)

ival-sub: 1.0ms (11.6% of total)

ival-add: 1.0ms (11.6% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.2%)

Memory

23.6MiB live, 23.6MiB allocated

Counts

5 → 120

Calls

Call 1

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

Outputs
#s(alt (* 1/2 (* x y)) (taylor 0 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 (* 1/2 (* 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 (.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 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 (* 1/2 (* 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 (.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 (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 (* 1/2 (* 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 (* 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 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 (* 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 (* 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 (* -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>) () ())) ())
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#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 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>) () ())) ())
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#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>) () ())) ())
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#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>) () ())) ())
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#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>) () ())) ())
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#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 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 (/ 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>) () ())) ())
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#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>) () ())) ())
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#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 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 (/ 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 (/ 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>) () ())) ())
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#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())

Calls

30 calls:

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

simplify158.0ms (2.4%)

Memory

-13.2MiB live, 220.7MiB allocated

Algorithm

1×	egg-herbie

Rules

13 558×	`lower-fma.f64`
13 558×	`lower-fma.f32`
4 930×	`lower-*.f64`
4 930×	`lower-*.f32`
1 854×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 115

Calls

Call 1

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

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

rewrite166.0ms (2.5%)

Memory

-22.4MiB live, 260.9MiB allocated

Rules

5 754×	`lower-fma.f64`
5 754×	`lower-fma.f32`
4 124×	`lower-*.f32`
4 122×	`lower-*.f64`
2 962×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

5 → 279

Calls

Call 1

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

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

eval76.0ms (1.2%)

Memory: 24.6MiB live, 139.3MiB allocated
Compiler: Compiled 11 056 to 1 054 computations (90.5% saved)

prune55.0ms (0.8%)

Memory

-6.3MiB live, 114.3MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	385	9	394
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	386	9	395

Accuracy

100.0%

Counts

395 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.9%	(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) y x)
	99.9%	(-.f64 x (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) y)))
▶	99.9%	(-.f64 x (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
▶	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)))
▶	54.3%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
	67.5%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) y #s(literal -1 binary64)) y x))
▶	52.9%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) x x))
	77.2%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
▶	31.5%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))

Compiler

Compiled 194 to 122 computations (37.1% saved)

simplify103.0ms (1.6%)

Memory

-5.7MiB live, 108.4MiB 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 y x)
cost-diff	0	(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))
cost-diff	0	(/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
cost-diff	0	(-.f64 x (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))))

Rules

4 108×	`lower-fma.f32`
4 102×	`lower-fma.f64`
2 924×	`lower-*.f32`
2 920×	`lower-*.f64`
2 018×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	162
0	45	158
1	80	158
2	134	152
3	215	148
4	383	148
5	663	148
6	1269	147
7	2225	147
8	5466	147
0	8239	146

Stop Event

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

Calls

Call 1

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

localize74.0ms (1.1%)

Memory

40.0MiB live, 115.8MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(-.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	(*.f64 y x)
accuracy	0.09765625	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) y))
accuracy	7.2420701605983036	(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) y)
accuracy	0	(*.f64 x x)
accuracy	0.30281530924727174	(/.f64 #s(literal -2 binary64) (*.f64 x x))
accuracy	17.940759321217655	(fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) x x)
accuracy	29.221653942522263	#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	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
accuracy	35.011831157889496	#s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))
accuracy	0	(neg.f64 y)
accuracy	43.81145223167352	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
accuracy	0	(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))
accuracy	0	(-.f64 x (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
accuracy	0	(*.f64 y x)
accuracy	7.27138013827074	(/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))

Samples

46.0ms

256×

valid

Compiler

Compiled 152 to 29 computations (80.9% saved)

Precisions

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

ival-mult: 12.0ms (36.8% of total)

ival-div: 11.0ms (33.7% of total)

ival-add: 4.0ms (12.3% of total)

ival-sub: 3.0ms (9.2% of total)

exact: 1.0ms (3.1% of total)

ival-neg: 1.0ms (3.1% of total)

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

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

series29.0ms (0.4%)

Memory

-22.1MiB live, 62.3MiB allocated

Counts

17 → 348

Calls

Call 1

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

87 calls:

Time	Variable		Point	Expression
7.0ms	x	@	-inf	(/ y (+ (* (* y x) 1/2) 1))
4.0ms	y	@	-inf	(- x (/ y (+ (* (* y x) 1/2) 1)))
1.0ms	x	@	0	(+ (* (/ -2 (* x x)) x) x)
0.0ms	x	@	0	(/ -2 (* x x))
0.0ms	y	@	-inf	(/ (+ (* 1/2 (* y x)) 1) y)

simplify177.0ms (2.7%)

Memory

0.7MiB live, 157.9MiB allocated

Algorithm

1×	egg-herbie

Rules

11 852×	`lower-fma.f64`
11 852×	`lower-fma.f32`
4 240×	`lower-*.f64`
4 240×	`lower-*.f32`
2 262×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	239	3749
1	756	3658
2	1964	3249
3	6607	3123
0	8365	2978

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 325

Calls

Call 1

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

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

rewrite225.0ms (3.5%)

Memory

4.6MiB live, 161.1MiB allocated

Rules

6 308×	`lower-fma.f32`
6 302×	`lower-fma.f64`
4 842×	`lower-*.f32`
4 838×	`lower-*.f64`
4 418×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	146
0	45	138
1	229	138
2	1280	132
0	8110	132

Stop Event

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

Counts

17 → 548

Calls

Call 1

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

eval183.0ms (2.8%)

Memory: -0.5MiB live, 149.7MiB allocated
Compiler: Compiled 19 602 to 1 526 computations (92.2% saved)

prune310.0ms (4.8%)

Memory

10.6MiB live, 133.5MiB allocated

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	895	4	899
Fresh	3	1	4
Picked	1	4	5
Done	0	0	0
Total	899	9	908

Accuracy

100.0%

Counts

908 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) y x)
✓	99.9%	(-.f64 x (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 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)))))
✓	54.3%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
▶	67.5%	#s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) (fma.f64 (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x))
▶	77.2%	#s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) (-.f64 x y))
✓	52.9%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) x x))
✓	31.5%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
▶	13.9%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (/ -2 (* x x)) x) x) (/.f64 #s(literal -2 binary64) x)))

Compiler

Compiled 138 to 84 computations (39.1% saved)

simplify118.0ms (1.8%)

Memory

2.6MiB live, 77.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

3 316×	`lower-fma.f32`
3 306×	`lower-fma.f64`
2 920×	`lower-*.f32`
2 916×	`lower-*.f64`
2 196×	`lower-/.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	42	203
0	59	201
1	102	200
2	152	192
3	245	192
4	408	191
5	860	191
6	1585	191
7	2926	191
8	6350	191
0	8119	191

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

localize375.0ms (5.8%)

Memory

-4.3MiB live, 156.5MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))
accuracy	0	(*.f64 y x)
accuracy	0.05078125	(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) y x)
accuracy	0.3861611622948984	(/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)))
accuracy	0	(*.f64 x y)
accuracy	0.0078125	(fma.f64 (*.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64))
accuracy	0.02734375	(fma.f64 (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x)
accuracy	20.77212354128658	#s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) (fma.f64 (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x))
accuracy	0	(/.f64 #s(literal -2 binary64) x)
accuracy	26.227863937722503	#s(approx (+ (* (/ -2 (* x x)) x) x) (/.f64 #s(literal -2 binary64) x))
accuracy	29.221653942522263	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (/ -2 (* x x)) x) x) (/.f64 #s(literal -2 binary64) x)))
accuracy	0	(-.f64 x y)
accuracy	14.605071044288195	#s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) (-.f64 x y))
accuracy	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)))))
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	(fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) y))
accuracy	0.09765625	(/.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

274.0ms

256×

valid

Compiler

Compiled 163 to 40 computations (75.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 259.0ms

ival-mult: 112.0ms (43.2% of total)

ival-add: 73.0ms (28.2% of total)

ival-sub: 59.0ms (22.8% of total)

ival-div: 14.0ms (5.4% of total)

exact: 1.0ms (0.4% of total)

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

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

series86.0ms (1.3%)

Memory

-6.4MiB live, 31.3MiB 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 (+ (* (* y x) 1/2) 1))) (-.f64 x y)) (patch #s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) (-.f64 x y)) #<representation binary64>) () ())
#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())
#s(alt #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (/ -2 (* x x)) x) x) (/.f64 #s(literal -2 binary64) x))) (patch #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (/ -2 (* x x)) x) x) (/.f64 #s(literal -2 binary64) x))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (/ -2 (* x x)) x) x) (/.f64 #s(literal -2 binary64) x)) (patch #s(approx (+ (* (/ -2 (* x x)) x) x) (/.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -2 binary64) x) (patch (/.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())
#s(alt #s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) (fma.f64 (fma.f64 (.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x)) (patch #s(approx (- x (/ y (+ ( (* y x) 1/2) 1))) (fma.f64 (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x) (patch (fma.f64 (fma.f64 (.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) (patch (fma.f64 (.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal 1 binary64))) y x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal 1 binary64))) y x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal 1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())

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

Calls

96 calls:

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

simplify427.0ms (6.5%)

Memory

11.9MiB live, 170.7MiB allocated

Algorithm

1×	egg-herbie

Rules

10 916×	`lower-fma.f64`
10 916×	`lower-fma.f32`
4 216×	`lower-*.f64`
4 216×	`lower-*.f32`
3 356×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	364	3776
1	1144	3697
2	3016	3281
0	8283	3088

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 361

Calls

Call 1

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

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

rewrite377.0ms (5.8%)

Memory

9.2MiB live, 133.2MiB allocated

Rules

4 598×	`lower-*.f32`
4 594×	`lower-*.f64`
4 334×	`lower-/.f32`
4 326×	`lower-/.f64`
3 628×	`lower-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	42	183
0	59	180
1	300	179
2	1966	171
0	8163	171

Stop Event

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

Counts

17 → 354

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

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

eval400.0ms (6.1%)

Memory: -21.9MiB live, 129.5MiB allocated
Compiler: Compiled 13 716 to 1 194 computations (91.3% saved)

prune161.0ms (2.5%)

Memory

17.1MiB live, 148.6MiB allocated

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	713	2	715
Fresh	0	0	0
Picked	1	4	5
Done	1	3	4
Total	715	9	724

Accuracy

100.0%

Counts

724 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) y x)
✓	99.9%	(-.f64 x (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 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)))))
✓	54.3%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
✓	77.2%	#s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) (-.f64 x y))
▶	32.0%	#s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) #s(approx (+ (* (+ (* (* x y) 1/2) -1) y) x) (.f64 (fma.f64 (.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)))
✓	31.5%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
✓	13.9%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (/ -2 (* x x)) x) x) (/.f64 #s(literal -2 binary64) x)))
▶	12.5%	#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 87 to 53 computations (39.1% saved)

simplify106.0ms (1.6%)

Memory

-25.8MiB live, 131.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

3 360×	`lower-fma.f32`
3 358×	`lower-fma.f64`
2 772×	`lower-*.f32`
2 764×	`lower-*.f64`
1 896×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	134
0	41	134
1	70	134
2	114	114
3	190	114
4	320	114
5	709	114
6	1288	114
7	2575	114
8	6133	114
0	8137	110

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

localize108.0ms (1.7%)

Memory

22.5MiB live, 139.6MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(fma.f64 (*.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64))
accuracy	0.0625	(.f64 (fma.f64 (.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)
accuracy	20.77212354128658	#s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) #s(approx (+ (* (+ (* (* x y) 1/2) -1) y) x) (.f64 (fma.f64 (.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)))
accuracy	22.890917328335085	#s(approx (+ (* (+ (* (* x y) 1/2) -1) y) x) (.f64 (fma.f64 (.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y))
accuracy	0.30281530924727174	(/.f64 #s(literal -2 binary64) (*.f64 x x))
accuracy	26.227863937722503	#s(approx (+ (* (/ -2 (* x x)) x) x) (.f64 (/.f64 #s(literal -2 binary64) (.f64 x x)) x))
accuracy	29.20142875467637	(.f64 (/.f64 #s(literal -2 binary64) (.f64 x x)) x)
accuracy	29.221653942522263	#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)))

Samples

85.0ms

256×

valid

Compiler

Compiled 84 to 27 computations (67.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-add: 31.0ms (60.9% of total)

ival-mult: 11.0ms (21.6% of total)

ival-div: 6.0ms (11.8% of total)

ival-sub: 2.0ms (3.9% of total)

exact: 1.0ms (2% of total)

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

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

series7.0ms (0.1%)

Memory

18.0MiB live, 17.9MiB allocated

Counts

8 → 156

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

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

Calls

39 calls:

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

simplify250.0ms (3.8%)

Memory

-18.4MiB live, 249.4MiB allocated

Algorithm

1×	egg-herbie

Rules

12 646×	`lower-fma.f64`
12 646×	`lower-fma.f32`
4 160×	`lower-*.f64`
4 160×	`lower-*.f32`
2 412×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	180	1542
1	541	1535
2	1514	1387
3	4633	1347
0	8242	1251

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 147

Calls

Call 1

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

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

rewrite267.0ms (4.1%)

Memory

-2.6MiB live, 323.6MiB allocated

Rules

4 892×	`lower-/.f32`
4 890×	`lower-/.f64`
4 504×	`lower-fma.f32`
4 502×	`lower-fma.f64`
4 286×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	122
0	41	122
1	184	122
2	1141	102
0	8195	98

Stop Event

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

Counts

8 → 153

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

Outputs
(*.f64 (/.f64 x (neg.f64 x)) (/.f64 #s(literal 2 binary64) x))
(.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) (.f64 x x)))
(.f64 (/.f64 x (.f64 x x)) #s(literal -2 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (/.f64 x #s(literal -2 binary64))))
(*.f64 (/.f64 x x) (/.f64 #s(literal -2 binary64) x))
(.f64 (.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 x #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 x x))
(.f64 (/.f64 #s(literal -2 binary64) (.f64 x x)) x)
(.f64 x (/.f64 #s(literal -2 binary64) (.f64 x x)))
(.f64 #s(literal -2 binary64) (/.f64 x (.f64 x x)))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) x))
(pow.f64 (/.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (*.f64 x #s(literal -2 binary64)) x)) (neg.f64 x))
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(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 y x) (.f64 y x))))) (neg.f64 (-.f64 #s(literal -1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 y x)))))
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(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 y x) (.f64 y x))) (.f64 (*.f64 y x) #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 y x) (.f64 y x)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y x) #s(literal -1/2 binary64))))))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 y x) (.f64 y x)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 y x) (.f64 y x)))) (-.f64 #s(literal -1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 y x))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 y x) (.f64 y x))) (.f64 (*.f64 y x) #s(literal -1/2 binary64)))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 y x) (.f64 y x)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y x) #s(literal -1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 y x) (.f64 y x)) (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal 1 binary64))) (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 y x))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 y x) (.f64 y x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 y x) (.f64 y x))) (.f64 (.f64 y x) #s(literal -1/2 binary64)))) (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 y y) y) (.f64 (*.f64 x x) x)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64))))
(fma.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) y) (.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 y x)) #s(literal 1/2 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64))
(fma.f64 (*.f64 (neg.f64 y) x) #s(literal -1/2 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal -1 binary64))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 y (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 y (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))
(fma.f64 x (.f64 (.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64))
(expm1.f64 (.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 y x))) #s(literal -1 binary64)))
(-.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x))) (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 y x) (.f64 y x)) (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 y x) (.f64 y x)) (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 y x)))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 y x) (.f64 y x))) (-.f64 #s(literal -1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 y x)))))
(-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 y x) (.f64 y x))) (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal 1 binary64))))
(-.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 1 binary64))
(+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 y x)))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal -1 binary64))

eval55.0ms (0.9%)

Memory: 5.5MiB live, 84.0MiB allocated
Compiler: Compiled 4 674 to 477 computations (89.8% saved)

prune58.0ms (0.9%)

Memory

-8.2MiB live, 115.7MiB allocated

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	299	1	300
Fresh	0	0	0
Picked	0	2	2
Done	0	7	7
Total	299	10	309

Accuracy

100.0%

Counts

309 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) y x)
✓	99.9%	(-.f64 x (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 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)))))
✓	54.3%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
✓	77.2%	#s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) (-.f64 x y))
	32.0%	#s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) #s(approx (+ (* (+ (* (* x y) 1/2) -1) y) x) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) y (neg.f64 y))))
✓	32.0%	#s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) #s(approx (+ (* (+ (* (* x y) 1/2) -1) y) x) (.f64 (fma.f64 (.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)))
✓	31.5%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
✓	13.9%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (/ -2 (* x x)) x) x) (/.f64 #s(literal -2 binary64) x)))
✓	12.5%	#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 252 to 108 computations (57.1% saved)

regimes43.0ms (0.7%)

Memory

-7.1MiB live, 32.5MiB allocated

Counts

17 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
5.0ms	y
5.0ms	x

Results

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes12.0ms (0.2%)

Memory

33.1MiB live, 33.1MiB allocated

Counts

11 → 3

Calls

Call 1

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

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:

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

Results

Accuracy	Segments	Branch
89.0%	3	`x`
89.7%	3	`y`
84.0%	3	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes9.0ms (0.1%)

Memory

-17.2MiB live, 20.4MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

4.0ms	y
2.0ms	x
2.0ms	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))

Results

Accuracy	Segments	Branch
77.2%	1	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`
77.2%	1	`x`
79.6%	2	`y`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes2.0ms (0%)

Memory

6.5MiB live, 6.5MiB allocated

Counts

3 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
77.2%	1	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0.1%)

Memory

13.1MiB live, 13.1MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
31.5%	1	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`
31.5%	1	`x`
31.5%	1	`y`

Compiler

Compiled 19 to 13 computations (31.6% saved)

bsearch46.0ms (0.7%)

Memory

-13.3MiB live, 73.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	1.9611998076060477e+141	4.21171243153963e+147
10.0ms	-3.6301690764548805e+127	-8.813237757431779e+126

Samples

14.0ms

240×

valid

Compiler

Compiled 256 to 164 computations (35.9% saved)

Precisions

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

ival-div: 3.0ms (40.2% of total)

ival-mult: 2.0ms (26.8% of total)

ival-sub: 1.0ms (13.4% of total)

ival-add: 1.0ms (13.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch16.0ms (0.2%)

Memory

-12.0MiB live, 27.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.4847391659671035e+234	1.1796492405263599e+237

Samples

9.0ms

128×

valid

Compiler

Compiled 136 to 86 computations (36.8% saved)

Precisions

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

ival-sub: 3.0ms (43.9% of total)

ival-div: 2.0ms (29.3% of total)

ival-add: 1.0ms (14.6% of total)

ival-mult: 1.0ms (14.6% of total)

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

exact: 0.0ms (0% of total)

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

simplify8.0ms (0.1%)

Memory

21.0MiB live, 21.0MiB allocated

Algorithm

1×	egg-herbie

Rules

14×	`+-commutative_binary64`
14×	`sub-neg_binary64`
10×	`*-commutative_binary64`
8×	`neg-sub0_binary64`
8×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	136
1	50	136
2	62	136
3	69	136
4	73	136
5	74	136

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 x (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -27000000000000002029711146745991632941728584737515021764038545763659679981545210525942609729639466956563180786049018210820292608 binary64)) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) (if (<=.f64 y #s(literal 119999999999999989852562691846812988615222463168737002638517007816288295433419434577143935047059887295641487682906541597573908198807566840496128 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 43000000000000000591730470269434410361480441350777216174622636733342218735815153539142220236082911165286250634655803821501967615123232764780649510601753168093874579616369497249356273050550510550733250773553220054753903114151826074632192 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 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -27000000000000002029711146745991632941728584737515021764038545763659679981545210525942609729639466956563180786049018210820292608 binary64)) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) (if (<=.f64 y #s(literal 119999999999999989852562691846812988615222463168737002638517007816288295433419434577143935047059887295641487682906541597573908198807566840496128 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 43000000000000000591730470269434410361480441350777216174622636733342218735815153539142220236082911165286250634655803821501967615123232764780649510601753168093874579616369497249356273050550510550733250773553220054753903114151826074632192 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))

soundness582.0ms (8.9%)

Memory

-3.8MiB live, 536.1MiB allocated

Rules

13 558×	`lower-fma.f64`
13 558×	`lower-fma.f32`
11 852×	`lower-fma.f64`
11 852×	`lower-fma.f32`
5 754×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	239	3749
1	756	3658
2	1964	3249
3	6607	3123
0	8365	2978
0	9	35
0	14	35
1	63	35
2	500	35
3	6873	35
0	8527	32
0	231	1053
1	738	1018
2	1942	987
3	6081	981
0	8428	934

Stop Event

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

Compiler

Compiled 117 to 63 computations (46.2% saved)

preprocess96.0ms (1.5%)

Memory: -15.0MiB live, 167.3MiB allocated
Compiler: Compiled 138 to 66 computations (52.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze21.0ms (0.3%)

sample1.1s (16.8%)

explain104.0ms (1.6%)

preprocess62.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify28.0ms (0.4%)

localize25.0ms (0.4%)

series10.0ms (0.2%)

simplify158.0ms (2.4%)

rewrite166.0ms (2.5%)

eval76.0ms (1.2%)

prune55.0ms (0.8%)

simplify103.0ms (1.6%)

localize74.0ms (1.1%)

series29.0ms (0.4%)

simplify177.0ms (2.7%)

rewrite225.0ms (3.5%)

eval183.0ms (2.8%)

prune310.0ms (4.8%)

simplify118.0ms (1.8%)

localize375.0ms (5.8%)

series86.0ms (1.3%)

simplify427.0ms (6.5%)

rewrite377.0ms (5.8%)

eval400.0ms (6.1%)

prune161.0ms (2.5%)

simplify106.0ms (1.6%)

localize108.0ms (1.7%)

series7.0ms (0.1%)

simplify250.0ms (3.8%)

rewrite267.0ms (4.1%)

eval55.0ms (0.9%)

prune58.0ms (0.9%)

regimes43.0ms (0.7%)

regimes12.0ms (0.2%)

regimes9.0ms (0.1%)

regimes2.0ms (0%)

regimes4.0ms (0.1%)

bsearch46.0ms (0.7%)

bsearch16.0ms (0.2%)

simplify8.0ms (0.1%)

soundness582.0ms (8.9%)

preprocess96.0ms (1.5%)

end0.0ms (0%)

Profiling