Metrics for Linear.Projection:inversePerspective from linear-1.19.1.3, B

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze19.0ms (0.3%)

Memory

31.0MiB live, 31.0MiB 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
25%	25%	74.9%	0.1%	0%	0%	0%	3
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	4
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	5
65.6%	65.6%	34.3%	0.1%	0%	0%	0%	6
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	7
82%	82%	18%	0.1%	0%	0%	0%	8
87.9%	87.8%	12.1%	0.1%	0%	0%	0%	9
90.8%	90.7%	9.2%	0.1%	0%	0%	0%	10
93.8%	93.8%	6.1%	0.1%	0%	0%	0%	11
95.4%	95.3%	4.6%	0.1%	0%	0%	0%	12

Compiler

Compiled 11 to 9 computations (18.2% saved)

sample861.0ms (13.9%)

Memory

19.0MiB live, 914.1MiB allocated

Samples

556.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 329.0ms

ival-mult: 122.0ms (37.1% of total)

ival-sub: 106.0ms (32.3% of total)

ival-div: 88.0ms (26.8% of total)

ival-true: 5.0ms (1.5% of total)

exact: 5.0ms (1.5% of total)

ival-assert: 4.0ms (1.2% of total)

Bogosity

explain111.0ms (1.8%)

Memory

-7.8MiB live, 152.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
54	-	2	(1.8599582611842625e-25 -2.023214873370063e-293)	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
0	-	0	-	`(*.f64 x #s(literal 2 binary64))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`y`
0	-	0	-	`(-.f64 x y)`
0	-	0	-	`(.f64 (.f64 x #s(literal 2 binary64)) y)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`	n/o	29	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	overflow	29
`/.f64`	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`	n/u	23	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	underflow	23

Confusion

	Predicted +	Predicted -
+	52	2
-	0	202

Precision

1.0

Recall

0.9629629629629629

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	52	0	2
-	0	0	202

Precision?

1.0

Recall?

0.9629629629629629

Freqs

test

number	freq
0	204
1	52

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

26.0ms

512×

valid

Compiler

Compiled 59 to 25 computations (57.6% saved)

Precisions

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

ival-mult: 6.0ms (47.3% of total)

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

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

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

exact: 0.0ms (0% of total)

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

preprocess241.0ms (3.9%)

Memory

-18.1MiB live, 195.2MiB allocated

Algorithm

1×	egg-herbie

Rules

7 700×	`lower-fma.f64`
7 700×	`lower-fma.f32`
3 752×	`lower-*.f32`
3 748×	`lower-*.f64`
2 616×	`div-sub`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	53
1	71	45
2	303	35
3	1658	35
4	3588	35
5	5120	35
6	5897	35
7	6043	35
8	6091	35
9	6178	35
10	6178	35
11	6640	35
12	7256	35
0	7	9
0	11	9
1	22	9
2	56	7
3	133	7
4	309	7
5	630	7
6	1135	7
7	4009	7
8	7041	7
0	8094	7

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	80.5%	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify117.0ms (1.9%)

Memory

-13.6MiB live, 181.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	-64	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
cost-diff	0	(*.f64 x #s(literal 2 binary64))
cost-diff	0	(.f64 (.f64 x #s(literal 2 binary64)) y)
cost-diff	0	(-.f64 x y)

Rules

7 700×	`lower-fma.f64`
7 700×	`lower-fma.f32`
3 752×	`lower-*.f32`
3 748×	`lower-*.f64`
1 972×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	7	23
0	11	23
1	22	23
2	56	21
3	133	21
4	309	21
5	630	21
6	1135	21
7	4009	21
8	7041	21
0	8094	21

Stop Event

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

Calls

Call 1

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

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

localize18.0ms (0.3%)

Memory

13.7MiB live, 53.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 x y)
accuracy	0	(.f64 (.f64 x #s(literal 2 binary64)) y)
accuracy	0	(*.f64 x #s(literal 2 binary64))
accuracy	12.48287736552587	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Samples

13.0ms

256×

valid

Compiler

Compiled 25 to 9 computations (64% saved)

Precisions

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

ival-mult: 4.0ms (58.6% of total)

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

ival-sub: 1.0ms (14.7% of total)

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

exact: 0.0ms (0% of total)

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

series12.0ms (0.2%)

Memory

-8.5MiB live, 30.5MiB allocated

Counts

4 → 84

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	((- x y) (* (* x 2) y) (* x 2) (/ (- x y) (* (* x 2) y)))
2.0ms	y	@	-inf	((- x y) (* (* x 2) y) (* x 2) (/ (- x y) (* (* x 2) y)))
1.0ms	y	@	inf	((- x y) (* (* x 2) y) (* x 2) (/ (- x y) (* (* x 2) y)))
1.0ms	x	@	inf	((- x y) (* (* x 2) y) (* x 2) (/ (- x y) (* (* x 2) y)))
1.0ms	y	@	0	((- x y) (* (* x 2) y) (* x 2) (/ (- x y) (* (* x 2) y)))

simplify209.0ms (3.4%)

Memory

10.3MiB live, 247.8MiB allocated

Algorithm

1×	egg-herbie

Rules

16 868×	`lower-fma.f64`
16 868×	`lower-fma.f32`
2 616×	`lower-*.f64`
2 616×	`lower-*.f32`
2 482×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	369
1	106	369
2	239	369
3	550	369
4	1455	369
5	2629	369
6	4362	369
7	5581	369
8	6065	369
9	6308	369
10	6428	369
11	7585	369
0	8033	366

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 81

Calls

Call 1

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

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

rewrite382.0ms (6.2%)

Memory

14.9MiB live, 178.5MiB allocated

Rules

5 688×	`lower-/.f32`
5 686×	`lower-/.f64`
4 398×	`lower-*.f32`
4 394×	`lower-*.f64`
2 466×	`lower-pow.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	7	20
0	11	20
1	43	20
2	301	18
3	4219	18
0	10118	18

Stop Event

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

Counts

4 → 623

Calls

Call 1

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

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

eval255.0ms (4.1%)

Memory: 8.5MiB live, 168.3MiB allocated
Compiler: Compiled 14 466 to 1 726 computations (88.1% saved)

prune137.0ms (2.2%)

Memory

-6.7MiB live, 230.7MiB allocated

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	697	7	704
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	697	8	705

Accuracy

100.0%

Counts

705 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	89.1%	(/.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 x y))))
	88.9%	(/.f64 (/.f64 (-.f64 y x) y) (*.f64 #s(literal -2 binary64) x))
✓	80.5%	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
▶	42.9%	(/.f64 #s(approx (- x y) (neg.f64 y)) (.f64 (.f64 x #s(literal 2 binary64)) y))
▶	100.0%	(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
▶	88.5%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y))
▶	48.6%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
▶	52.8%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))

Compiler

Compiled 115 to 103 computations (10.4% saved)

simplify114.0ms (1.8%)

Memory

-20.0MiB live, 132.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Rules

4 160×	`lower-fma.f32`
4 158×	`lower-fma.f64`
3 728×	`lower-*.f32`
3 724×	`lower-*.f64`
1 854×	`lower-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	24	122
0	36	121
1	58	121
2	108	115
3	223	114
4	504	114
5	1189	114
6	3112	114
7	4643	114
8	6925	114
9	7949	114
0	8026	114

Stop Event

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

Calls

Call 1

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

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

localize80.0ms (1.3%)

Memory

-1.3MiB live, 169.0MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
accuracy	0	(/.f64 y x)
accuracy	0	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y))
accuracy	7.337024712088173	(/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y)
accuracy	0	(*.f64 x #s(literal 2 binary64))
accuracy	0	(neg.f64 y)
accuracy	12.48287736552587	(/.f64 #s(approx (- x y) (neg.f64 y)) (.f64 (.f64 x #s(literal 2 binary64)) y))
accuracy	30.21345393544856	#s(approx (- x y) (neg.f64 y))
accuracy	0	(/.f64 #s(literal 1/2 binary64) y)
accuracy	32.870720020387644	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
accuracy	0	(/.f64 #s(literal -1/2 binary64) x)
accuracy	30.203404145696542	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
accuracy	0	(/.f64 #s(literal 1/2 binary64) y)
accuracy	0	(/.f64 #s(literal 1/2 binary64) x)
accuracy	0.01953125	(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))

Samples

65.0ms

256×

valid

Compiler

Compiled 103 to 20 computations (80.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-div: 15.0ms (61.7% of total)

ival-mult: 5.0ms (20.6% of total)

ival-sub: 2.0ms (8.2% of total)

ival-add: 1.0ms (4.1% of total)

ival-neg: 1.0ms (4.1% of total)

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

exact: 0.0ms (0% of total)

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

series21.0ms (0.3%)

Memory

1.8MiB live, 45.3MiB allocated

Counts

15 → 300

Calls

Call 1

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

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

Calls

6 calls:

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

simplify183.0ms (2.9%)

Memory

-5.2MiB live, 112.4MiB allocated

Algorithm

1×	egg-herbie

Rules

4 148×	`lower-fma.f64`
4 148×	`lower-fma.f32`
2 444×	`lower-*.f64`
2 444×	`lower-*.f32`
1 436×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	1467
1	126	1467
2	306	1467
3	876	1467
4	2023	1467
5	3165	1467
6	4924	1467
7	5449	1467
8	5674	1467
9	5820	1467
10	5862	1467
11	6936	1467
12	7680	1467
0	8078	1431

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 297

Calls

Call 1

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

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

rewrite180.0ms (2.9%)

Memory

14.7MiB live, 209.3MiB allocated

Rules

5 356×	`lower-/.f32`
5 344×	`lower-/.f64`
4 606×	`lower-*.f32`
4 602×	`lower-*.f64`
3 242×	`lower-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	105
0	36	105
1	141	105
2	1078	99
0	8119	99

Stop Event

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

Counts

15 → 567

Calls

Call 1

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

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

eval152.0ms (2.4%)

Memory: 25.3MiB live, 219.2MiB allocated
Compiler: Compiled 12 266 to 1 784 computations (85.5% saved)

prune94.0ms (1.5%)

Memory

-29.8MiB live, 166.1MiB allocated

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	893	0	893
Fresh	0	2	2
Picked	0	5	5
Done	0	1	1
Total	893	8	901

Accuracy

100.0%

Counts

901 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	89.1%	(/.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 x y))))
▶	88.9%	(/.f64 (/.f64 (-.f64 y x) y) (*.f64 #s(literal -2 binary64) x))
✓	80.5%	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
✓	42.9%	(/.f64 #s(approx (- x y) (neg.f64 y)) (.f64 (.f64 x #s(literal 2 binary64)) y))
✓	100.0%	(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
✓	88.5%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y))
✓	48.6%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
✓	52.8%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))

Compiler

Compiled 62 to 55 computations (11.3% saved)

simplify88.0ms (1.4%)

Memory

15.5MiB live, 91.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 x (-.f64 x y))
cost-diff	0	(*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 x y)))
cost-diff	0	(pow.f64 y #s(literal -1 binary64))
cost-diff	6784	(/.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 x y))))
cost-diff	0	(*.f64 #s(literal -2 binary64) x)
cost-diff	0	(-.f64 y x)
cost-diff	0	(/.f64 (-.f64 y x) y)
cost-diff	320	(/.f64 (/.f64 (-.f64 y x) y) (*.f64 #s(literal -2 binary64) x))

Rules

3 290×	`lower-fma.f64`
3 290×	`lower-fma.f32`
2 856×	`lower-*.f32`
2 852×	`lower-*.f64`
2 570×	`lower-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	14	56
0	23	54
1	42	54
2	87	54
3	195	50
4	445	50
5	1457	50
6	7150	50
0	8231	50

Stop Event

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

Calls

Call 1

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

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

localize37.0ms (0.6%)

Memory

25.8MiB live, 62.2MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 x y)
accuracy	0.00390625	(*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 x y)))
accuracy	0.02734375	(/.f64 x (-.f64 x y))
accuracy	6.952510578783907	(/.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 x y))))
accuracy	0	(-.f64 y x)
accuracy	0	(*.f64 #s(literal -2 binary64) x)
accuracy	0.03125	(/.f64 (-.f64 y x) y)
accuracy	7.105815964334291	(/.f64 (/.f64 (-.f64 y x) y) (*.f64 #s(literal -2 binary64) x))

Samples

28.0ms

256×

valid

Compiler

Compiled 58 to 16 computations (72.4% saved)

Precisions

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

ival-div: 6.0ms (36.2% of total)

ival-pow: 4.0ms (24.1% of total)

ival-sub: 3.0ms (18.1% of total)

ival-mult: 3.0ms (18.1% of total)

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

exact: 0.0ms (0% of total)

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

series17.0ms (0.3%)

Memory

-4.7MiB live, 32.8MiB allocated

Counts

9 → 192

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	y	@	inf	((/ (/ (- y x) y) (* -2 x)) (/ (- y x) y) (- y x) (* -2 x) (/ (pow y -1) (* 2 (/ x (- x y)))) (pow y -1) (* 2 (/ x (- x y))) (/ x (- x y)) (- x y))
2.0ms	x	@	inf	((/ (/ (- y x) y) (* -2 x)) (/ (- y x) y) (- y x) (* -2 x) (/ (pow y -1) (* 2 (/ x (- x y)))) (pow y -1) (* 2 (/ x (- x y))) (/ x (- x y)) (- x y))
2.0ms	y	@	0	((/ (/ (- y x) y) (* -2 x)) (/ (- y x) y) (- y x) (* -2 x) (/ (pow y -1) (* 2 (/ x (- x y)))) (pow y -1) (* 2 (/ x (- x y))) (/ x (- x y)) (- x y))
1.0ms	x	@	0	((/ (/ (- y x) y) (* -2 x)) (/ (- y x) y) (- y x) (* -2 x) (/ (pow y -1) (* 2 (/ x (- x y)))) (pow y -1) (* 2 (/ x (- x y))) (/ x (- x y)) (- x y))
1.0ms	x	@	-inf	((/ (/ (- y x) y) (* -2 x)) (/ (- y x) y) (- y x) (* -2 x) (/ (pow y -1) (* 2 (/ x (- x y)))) (pow y -1) (* 2 (/ x (- x y))) (/ x (- x y)) (- x y))

simplify160.0ms (2.6%)

Memory

12.9MiB live, 201.7MiB allocated

Algorithm

1×	egg-herbie

Rules

13 524×	`lower-fma.f64`
13 524×	`lower-fma.f32`
4 674×	`lower-*.f64`
4 674×	`lower-*.f32`
2 556×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	243	1256
1	720	1235
2	1947	1188
3	6597	1180
0	8387	1128

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 186

Calls

Call 1

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

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

rewrite198.0ms (3.2%)

Memory

-11.3MiB live, 305.4MiB allocated

Rules

4 592×	`lower-*.f32`
4 588×	`lower-*.f64`
4 446×	`lower-/.f32`
4 438×	`lower-/.f64`
2 128×	`lower-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	49
0	23	47
1	95	47
2	703	43
0	8953	43

Stop Event

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

Counts

9 → 1 389

Calls

Call 1

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

Outputs
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(literal -1 binary64)) (-.f64 y x))
(*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) (neg.f64 y)) (-.f64 x y))
(*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) (/.f64 (-.f64 y x) y))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)) (/.f64 (-.f64 y x) x))
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(literal 1 binary64)) (-.f64 x y))
(.f64 (.f64 (/.f64 #s(literal -1/2 binary64) x) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (-.f64 y x))) (pow.f64 y #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (.f64 (-.f64 y x) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x y)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) x)) (neg.f64 (/.f64 #s(literal 1/2 binary64) y)))
(.f64 (.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) #s(literal -1 binary64)) (-.f64 x y))
(.f64 (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) x) (fma.f64 (neg.f64 y) y (*.f64 x x))) (pow.f64 (+.f64 x y) #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) x) (-.f64 x y))) (.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) (.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) x) (-.f64 x y)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (.f64 (.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (/.f64 (-.f64 x y) x)))
(.f64 (pow.f64 (.f64 (.f64 (/.f64 x (-.f64 x y)) #s(literal 2 binary64)) y) #s(literal -1/2 binary64)) (pow.f64 (.f64 (*.f64 (/.f64 x (-.f64 x y)) #s(literal 2 binary64)) y) #s(literal -1/2 binary64)))
(.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 y) y (*.f64 x x))))) (pow.f64 (+.f64 x y) #s(literal -1 binary64)))
(.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) (pow.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) #s(literal -1 binary64)))
(.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x (fma.f64 (neg.f64 y) y (.f64 x x)))) (/.f64 #s(literal 1/2 binary64) (+.f64 x y)))
(.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 x y) x (.f64 y y))))
(.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 x y) x)))
(.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) #s(literal -1 binary64)) (.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (/.f64 (-.f64 x y) x)))
(*.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 x (-.f64 y x))))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 x (-.f64 y x))) (/.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (.f64 (/.f64 x (-.f64 x y)) #s(literal 2 binary64))))
(*.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (/.f64 x (-.f64 x y))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal -2 binary64)))
(.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 y) y (*.f64 x x))))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (+.f64 x y)))
(.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 #s(literal 2 binary64) (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y))))
(.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 #s(literal 2 binary64) x)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 (-.f64 x y) #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (neg.f64 y) y (*.f64 x x))))) (/.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 x y)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) (/.f64 (pow.f64 y #s(literal -1 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y))))
(.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 x (fma.f64 (neg.f64 y) y (.f64 x x)))) (/.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (+.f64 x y)))
(.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y))))
(.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (neg.f64 x)) (/.f64 (.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 y x) #s(literal -1 binary64))))
(.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (/.f64 (-.f64 x y) x)))
(.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) (/.f64 (.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) x))
(.f64 (/.f64 (+.f64 x y) (.f64 (*.f64 x y) #s(literal -2 binary64))) (/.f64 (-.f64 y x) (+.f64 x y)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 (neg.f64 x) x (.f64 y y)))) (/.f64 (/.f64 #s(literal -1/2 binary64) x) (+.f64 x y)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (/.f64 #s(literal -1/2 binary64) x) (fma.f64 (+.f64 x y) x (.f64 y y))))
(.f64 (/.f64 (fma.f64 (+.f64 x y) x (.f64 y y)) (.f64 (.f64 x y) #s(literal -2 binary64))) (/.f64 (-.f64 y x) (fma.f64 (+.f64 x y) x (*.f64 y y))))
(.f64 (/.f64 (-.f64 x y) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (.f64 x y)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 y x) #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (/.f64 (-.f64 x y) y) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (-.f64 y x) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) y) x))
(.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) x) (/.f64 (.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 x y) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) (-.f64 x y))))
(.f64 (/.f64 (.f64 (pow.f64 y #s(literal -1/2 binary64)) (-.f64 y x)) #s(literal -2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) x))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal -2 binary64)) (/.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (/.f64 x (-.f64 x y))))
(.f64 (/.f64 (.f64 (pow.f64 y #s(literal -1/2 binary64)) (-.f64 y x)) x) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal -2 binary64)))
(*.f64 (/.f64 (-.f64 x y) #s(literal -2 binary64)) (/.f64 (pow.f64 y #s(literal -1 binary64)) (neg.f64 x)))
(*.f64 (/.f64 (-.f64 x y) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) y) x))
(.f64 (/.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) (*.f64 #s(literal -2 binary64) x)) (/.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) y))
(.f64 (/.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) #s(literal -2 binary64)) (/.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (*.f64 x y)))
(.f64 (/.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) x) (/.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) y)))
(.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal -2 binary64) x)) (/.f64 (pow.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) #s(literal -1 binary64)) y))
(.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -2 binary64)) (/.f64 (pow.f64 (fma.f64 (+.f64 x y) x (.f64 y y)) #s(literal -1 binary64)) (*.f64 x y)))
(.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) x) (/.f64 (pow.f64 (fma.f64 (+.f64 x y) x (.f64 y y)) #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) y)))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 x y)) (pow.f64 x #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 x (-.f64 y x)) #s(literal -1 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) y) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) #s(literal -1 binary64)) (pow.f64 (.f64 x y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 x (-.f64 x y)) (pow.f64 y #s(literal -1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (pow.f64 y #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (pow.f64 y #s(literal -1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 x (-.f64 x y)) (pow.f64 y #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (/.f64 (-.f64 x y) x)) (pow.f64 y #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x y)) (-.f64 y x))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) x) (-.f64 x y))
(*.f64 (/.f64 (/.f64 (-.f64 x y) y) x) #s(literal 1/2 binary64))
(*.f64 (/.f64 (/.f64 (-.f64 y x) y) x) #s(literal -1/2 binary64))
(.f64 (/.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) y) (/.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) x)))
(.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) y) (/.f64 (pow.f64 (fma.f64 (+.f64 x y) x (.f64 y y)) #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) x)))
(.f64 (.f64 (pow.f64 y #s(literal -1/2 binary64)) (-.f64 y x)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1/2 binary64) x)))
(.f64 (.f64 (pow.f64 y #s(literal -1/2 binary64)) (-.f64 y x)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 #s(literal -2 binary64) x)))
(.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (/.f64 x (-.f64 x y)) #s(literal -2 binary64))))
(.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (/.f64 x (-.f64 y x)))))
(.f64 (pow.f64 y #s(literal -1/4 binary64)) (.f64 (pow.f64 y #s(literal -1/4 binary64)) (.f64 (.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (/.f64 (-.f64 x y) x))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x (-.f64 y x))) (/.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (-.f64 y x) y) (neg.f64 x)))
(.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 (/.f64 x (-.f64 x y)) y) #s(literal -1 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (-.f64 x y) y) x))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) (-.f64 x y))))
(.f64 (pow.f64 x #s(literal -1 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 x y) y)))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 x y) y))
(.f64 (.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) x) (-.f64 x y)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
(.f64 (.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) x) (-.f64 x y)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 x y) #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64)))
(.f64 (.f64 (-.f64 y x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(*.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (-.f64 y x) x))
(*.f64 (/.f64 (-.f64 y x) x) (neg.f64 (/.f64 #s(literal 1/2 binary64) y)))
(.f64 (.f64 (/.f64 (-.f64 x y) y) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 x y) y)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (-.f64 x y) x))
(.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal 1/2 binary64) (/.f64 x (-.f64 y x)))))
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(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (.f64 y y))) (.f64 (fma.f64 (+.f64 x y) x (.f64 y y)) (pow.f64 y #s(literal 3 binary64)))) (.f64 (fma.f64 (+.f64 x y) x (.f64 y y)) (fma.f64 (+.f64 x y) x (*.f64 y y))))
(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 x y)) (.f64 (+.f64 x y) (.f64 y y))) (*.f64 (+.f64 x y) (+.f64 x y)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (.f64 (+.f64 x y) (fma.f64 (.f64 y y) (fma.f64 x x (*.f64 y y)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (.f64 (fma.f64 (+.f64 x y) x (.f64 y y)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 (neg.f64 (+.f64 x y)) (fma.f64 (.f64 x x) (fma.f64 x x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 (neg.f64 (fma.f64 (+.f64 x y) x (.f64 y y))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 (neg.f64 (+.f64 x y)) (fma.f64 x x (.f64 y y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (.f64 (+.f64 x y) (fma.f64 x x (.f64 y y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) (.f64 (fma.f64 (+.f64 x y) x (.f64 y y)) (+.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))))))
(/.f64 (-.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (.f64 (neg.f64 (fma.f64 (+.f64 x y) x (.f64 y y))) (+.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (pow.f64 y #s(literal 6 binary64)))))
(/.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (.f64 #s(literal 1 binary64) (+.f64 x y)))
(/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (neg.f64 (neg.f64 (+.f64 x y))))
(/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 x y))
(/.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) (.f64 #s(literal 1 binary64) (neg.f64 (+.f64 x y))))
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (-.f64 (neg.f64 y) x))
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (neg.f64 (+.f64 x y)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) y) (.f64 y y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x y) x (.f64 y y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) y) (*.f64 y y)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (+.f64 x y) x (*.f64 y y)))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (+.f64 x y) x (.f64 y y)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) y) (*.f64 y y))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 (+.f64 x y) x (*.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) y) (*.f64 y y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))
(/.f64 (-.f64 x y) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))
(/.f64 (-.f64 y x) #s(literal -1 binary64))
(neg.f64 (-.f64 y x))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 x y) x) #s(literal 2 binary64)))) (-.f64 (.f64 y (-.f64 y x)) (.f64 x x)) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (.f64 y y)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (+.f64 x y) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (.f64 (+.f64 x y) x) (-.f64 (.f64 (+.f64 x y) x) (.f64 y y)) (pow.f64 y #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 x y) y) #s(literal 2 binary64)))) (-.f64 (.f64 x (-.f64 x y)) (.f64 y y)) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (.f64 y y)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (+.f64 x y) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (+.f64 x y) y) (-.f64 (.f64 (+.f64 x y) y) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y)))))
(fma.f64 (/.f64 (.f64 x x) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 x (-.f64 x y) (.f64 y y)) (neg.f64 (*.f64 y (/.f64 y (+.f64 x y)))))
(fma.f64 (/.f64 (.f64 x x) (fma.f64 (neg.f64 y) y (.f64 x x))) (-.f64 x y) (neg.f64 (*.f64 y (/.f64 y (+.f64 x y)))))
(fma.f64 (/.f64 (.f64 x x) (fma.f64 (neg.f64 x) x (.f64 y y))) (-.f64 y x) (neg.f64 (*.f64 y (/.f64 y (+.f64 x y)))))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (+.f64 x y) x (.f64 y y))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (.f64 y y)))))
(fma.f64 (.f64 x x) (/.f64 x (fma.f64 (+.f64 x y) x (.f64 y y))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y)))))
(fma.f64 (.f64 x x) (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (neg.f64 (.f64 y (/.f64 y (+.f64 x y)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 x y) x (.f64 y y)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (.f64 y y)))))
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (neg.f64 y))
(fma.f64 #s(literal 1 binary64) x (neg.f64 y))
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (neg.f64 y))
(fma.f64 #s(literal -1 binary64) y (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(fma.f64 #s(literal -1 binary64) y x)
(fma.f64 x (/.f64 (.f64 x x) (fma.f64 (+.f64 x y) x (.f64 y y))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y)))))
(fma.f64 x (/.f64 x (+.f64 x y)) (neg.f64 (*.f64 y (/.f64 y (+.f64 x y)))))
(fma.f64 x #s(literal 1 binary64) (neg.f64 y))
(fma.f64 y #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(fma.f64 y #s(literal -1 binary64) x)
(-.f64 (+.f64 x #s(literal 0 binary64)) y)
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (neg.f64 (fma.f64 (+.f64 x y) x (.f64 y y)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (fma.f64 (+.f64 x y) x (.f64 y y)))))
(-.f64 (/.f64 (.f64 y y) (neg.f64 (+.f64 x y))) (/.f64 (.f64 x x) (neg.f64 (+.f64 x y))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (.f64 y y))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (.f64 y y))) #s(literal 1 binary64)))
(-.f64 (/.f64 (.f64 x (/.f64 x (+.f64 x y))) #s(literal 1 binary64)) (/.f64 (.f64 y (/.f64 y (+.f64 x y))) #s(literal 1 binary64)))
(-.f64 (/.f64 x #s(literal 1 binary64)) y)
(-.f64 (.f64 x (/.f64 x (+.f64 x y))) (.f64 y (/.f64 y (+.f64 x y))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (.f64 y y))))
(-.f64 #s(literal 0 binary64) (-.f64 y x))
(-.f64 (neg.f64 y) (neg.f64 x))
(-.f64 x y)
(+.f64 (-.f64 #s(literal 0 binary64) (.f64 y (/.f64 y (+.f64 x y)))) (.f64 x (/.f64 x (+.f64 x y))))
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (.f64 y y)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (.f64 y y))))
(+.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) (neg.f64 y))
(+.f64 (.f64 x (/.f64 x (+.f64 x y))) (neg.f64 (.f64 y (/.f64 y (+.f64 x y)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (.f64 y y))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (.f64 y y)))))
(+.f64 #s(literal 0 binary64) (-.f64 x y))
(+.f64 (neg.f64 y) (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(+.f64 (neg.f64 y) x)
(+.f64 x (neg.f64 y))

eval380.0ms (6.1%)

Memory: -13.0MiB live, 429.1MiB allocated
Compiler: Compiled 28 737 to 3 084 computations (89.3% saved)

prune259.0ms (4.2%)

Memory

2.4MiB live, 282.0MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	1 574	1	1 575
Fresh	0	0	0
Picked	2	0	2
Done	0	6	6
Total	1 576	7	1 583

Accuracy

100.0%

Counts

1 583 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	80.5%	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
✓	42.9%	(/.f64 #s(approx (- x y) (neg.f64 y)) (.f64 (.f64 x #s(literal 2 binary64)) y))
▶	89.2%	(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x (-.f64 x y)) y))
✓	100.0%	(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
✓	88.5%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y))
✓	48.6%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
✓	52.8%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))

Compiler

Compiled 51 to 46 computations (9.8% saved)

simplify138.0ms (2.2%)

Memory

32.9MiB live, 148.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

3 768×	`lower-fma.f64`
3 768×	`lower-fma.f32`
3 226×	`lower-*.f32`
3 224×	`lower-*.f64`
2 420×	`lower-/.f32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	7	27
0	11	27
1	18	27
2	33	27
3	66	27
4	164	27
5	369	25
6	776	25
7	2256	25
8	5502	25
9	7204	25
10	7877	25
0	8035	25

Stop Event

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

Calls

Call 1

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

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

localize21.0ms (0.3%)

Memory

-27.1MiB live, 47.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 x y)
accuracy	0.01953125	(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x (-.f64 x y)) y))
accuracy	0.02734375	(/.f64 x (-.f64 x y))
accuracy	6.891096138688653	(*.f64 (/.f64 x (-.f64 x y)) y)

Samples

15.0ms

256×

valid

Compiler

Compiled 29 to 9 computations (69% saved)

Precisions

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

ival-div: 5.0ms (59.4% of total)

ival-sub: 1.0ms (11.9% of total)

ival-mult: 1.0ms (11.9% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

14.7MiB live, 14.7MiB allocated

Counts

4 → 96

Calls

Call 1

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

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

Calls

6 calls:

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

simplify163.0ms (2.6%)

Memory

13.6MiB live, 179.4MiB allocated

Algorithm

1×	egg-herbie

Rules

10 186×	`lower-fma.f64`
10 186×	`lower-fma.f32`
3 982×	`lower-*.f64`
3 982×	`lower-*.f32`
1 558×	`lower-neg.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	182	821
1	535	783
2	1411	733
3	4862	717
0	8116	679

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 90

Calls

Call 1

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

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

rewrite365.0ms (5.9%)

Memory

-38.6MiB live, 205.6MiB allocated

Rules

5 292×	`lower-/.f32`
5 288×	`lower-/.f64`
3 930×	`lower-*.f32`
3 928×	`lower-*.f64`
1 850×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	24
0	11	24
1	46	24
2	302	24
3	3089	24
0	9367	24

Stop Event

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

Counts

4 → 603

Calls

Call 1

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

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

eval128.0ms (2.1%)

Memory: 12.8MiB live, 200.7MiB allocated
Compiler: Compiled 15 073 to 2 469 computations (83.6% saved)

prune162.0ms (2.6%)

Memory

19.5MiB live, 223.0MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	693	0	693
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	693	7	700

Accuracy

100.0%

Counts

700 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	80.5%	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
✓	42.9%	(/.f64 #s(approx (- x y) (neg.f64 y)) (.f64 (.f64 x #s(literal 2 binary64)) y))
✓	89.2%	(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x (-.f64 x y)) y))
✓	100.0%	(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
✓	88.5%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y))
✓	48.6%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
✓	52.8%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))

Compiler

Compiled 122 to 80 computations (34.4% saved)

regimes13.0ms (0.2%)

Memory

-4.0MiB live, 32.3MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	y
3.0ms	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
3.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes11.0ms (0.2%)

Memory

-20.2MiB live, 25.5MiB allocated

Counts

4 → 5

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	x
2.0ms	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
2.0ms	y

Results

Accuracy	Segments	Branch
87.6%	4	`x`
90.0%	5	`y`
90.8%	5	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes6.0ms (0.1%)

Memory

18.1MiB live, 18.1MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
73.8%	3	`x`
77.6%	3	`y`
59.0%	4	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes4.0ms (0.1%)

Memory

17.7MiB live, 17.7MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
52.8%	1	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
52.8%	1	`x`
52.8%	1	`y`

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch4.0ms (0.1%)

Memory

-31.9MiB live, 4.0MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	1.3174593141469252e+303	+inf
0.0ms	-0.0	5.344571484778734e-141
0.0ms	-3.495194478626924e-133	-0.0
0.0ms	-inf	-1.9037823828623564e+306

Compiler

Compiled 12 to 12 computations (0% saved)

bsearch29.0ms (0.5%)

Memory

11.2MiB live, 49.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	3.234373673925652e-67	2.257483024916135e-61
13.0ms	-8.608347676820284e-61	-4.7732422613621197e-79

Samples

13.0ms

304×

valid

Compiler

Compiled 164 to 240 computations (-46.3% saved)

Precisions

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

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

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

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

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

exact: 0.0ms (0% of total)

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

simplify40.0ms (0.6%)

Memory

20.3MiB live, 59.9MiB allocated

Algorithm

1×	egg-herbie

Rules

12×	`-commutative-binary64-.f64`
12×	`+-commutative-binary64-+.f64`
12×	`sub-neg-binary64-neg.f64-+.f64--.f64`
8×	`neg-sub0-binary64--.f64-neg.f64`
8×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	172
1	43	172
2	54	172
3	62	172
4	68	172
5	70	172

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal -inf.0 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal -2557336412418861/12786682062094304179739022253232809188346257992355721833919106906625522642205759980012773798148063113870651109873281527379754908382364816614564560896 binary64)) (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal 0 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal 2000000000000000000323530153572912876425337292463318876590990034202234998451477495730520486068427830507559547136360674832054891641135558399286783083212052137222301492244569952354513300088401054553614654135380924225322855000394102452979796521357526782898752177094584641628255914972661310937838244526555136 binary64)) (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))))))
(if (<=.f64 y #s(literal -6151454740732423/7237005577332262213973186563042994240829374041602535252466099000494570602496 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 y #s(literal 6299089654510001/1852673427797059126777135760139006525652319754650249024631321344126610074238976 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))))
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))

Outputs
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal -inf.0 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal -2557336412418861/12786682062094304179739022253232809188346257992355721833919106906625522642205759980012773798148063113870651109873281527379754908382364816614564560896 binary64)) (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal 0 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal 2000000000000000000323530153572912876425337292463318876590990034202234998451477495730520486068427830507559547136360674832054891641135558399286783083212052137222301492244569952354513300088401054553614654135380924225322855000394102452979796521357526782898752177094584641628255914972661310937838244526555136 binary64)) (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))))))
(if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 #s(literal 2 binary64) x) y)) #s(literal -inf.0 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 #s(literal 2 binary64) x) y)) #s(literal -2557336412418861/12786682062094304179739022253232809188346257992355721833919106906625522642205759980012773798148063113870651109873281527379754908382364816614564560896 binary64)) (/.f64 (-.f64 x y) (.f64 (.f64 #s(literal 2 binary64) x) y)) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 #s(literal 2 binary64) x) y)) #s(literal 0 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 #s(literal 2 binary64) x) y)) #s(literal 2000000000000000000323530153572912876425337292463318876590990034202234998451477495730520486068427830507559547136360674832054891641135558399286783083212052137222301492244569952354513300088401054553614654135380924225322855000394102452979796521357526782898752177094584641628255914972661310937838244526555136 binary64)) (/.f64 (-.f64 x y) (.f64 (.f64 #s(literal 2 binary64) x) y)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))))))
(if (<=.f64 y #s(literal -6151454740732423/7237005577332262213973186563042994240829374041602535252466099000494570602496 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 y #s(literal 6299089654510001/1852673427797059126777135760139006525652319754650249024631321344126610074238976 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))))
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))

soundness713.0ms (11.5%)

Memory

-14.6MiB live, 260.4MiB allocated

Rules

16 868×	`lower-fma.f64`
16 868×	`lower-fma.f32`
5 688×	`lower-/.f32`
5 686×	`lower-/.f64`
4 398×	`lower-*.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	40	369
1	106	369
2	239	369
3	550	369
4	1455	369
5	2629	369
6	4362	369
7	5581	369
8	6065	369
9	6308	369
10	6428	369
11	7585	369
0	8033	366
0	7	20
0	11	20
1	43	20
2	301	18
3	4219	18
0	10118	18

Stop Event

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

Compiler

Compiled 140 to 64 computations (54.3% saved)

preprocess86.0ms (1.4%)

Memory: -32.0MiB live, 154.2MiB allocated
Compiler: Compiled 250 to 92 computations (63.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze19.0ms (0.3%)

sample861.0ms (13.9%)

explain111.0ms (1.8%)

preprocess241.0ms (3.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify117.0ms (1.9%)

localize18.0ms (0.3%)

series12.0ms (0.2%)

simplify209.0ms (3.4%)

rewrite382.0ms (6.2%)

eval255.0ms (4.1%)

prune137.0ms (2.2%)

simplify114.0ms (1.8%)

localize80.0ms (1.3%)

series21.0ms (0.3%)

simplify183.0ms (2.9%)

rewrite180.0ms (2.9%)

eval152.0ms (2.4%)

prune94.0ms (1.5%)

simplify88.0ms (1.4%)

localize37.0ms (0.6%)

series17.0ms (0.3%)

simplify160.0ms (2.6%)

rewrite198.0ms (3.2%)

eval380.0ms (6.1%)

prune259.0ms (4.2%)

simplify138.0ms (2.2%)

localize21.0ms (0.3%)

series5.0ms (0.1%)

simplify163.0ms (2.6%)

rewrite365.0ms (5.9%)

eval128.0ms (2.1%)

prune162.0ms (2.6%)

regimes13.0ms (0.2%)

regimes11.0ms (0.2%)

regimes6.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch4.0ms (0.1%)

bsearch29.0ms (0.5%)

simplify40.0ms (0.6%)

soundness713.0ms (11.5%)

preprocess86.0ms (1.4%)

end0.0ms (0%)

Profiling