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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze20.0ms (0.6%)

Memory

28.5MiB live, 28.5MiB 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)

sample1.1s (30%)

Memory

12.8MiB live, 634.4MiB allocated

Samples

691.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 479.0ms

ival-mult: 234.0ms (48.9% of total)

ival-div: 183.0ms (38.2% of total)

ival-add: 49.0ms (10.2% of total)

ival-true: 6.0ms (1.3% of total)

exact: 5.0ms (1% of total)

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

Bogosity

explain133.0ms (3.8%)

Memory

12.4MiB live, 86.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
71	-	5	(2.734821132618142e-109 -5.758846286878084e-213)	`(/.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	36	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	overflow	36
`/.f64`	`(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`	n/u	30	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	underflow	30

Confusion

	Predicted +	Predicted -
+	66	5
-	0	185

Precision

1.0

Recall

0.9295774647887324

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	66	0	5
-	0	0	185

Precision?

1.0

Recall?

0.9295774647887324

Freqs

test

number	freq
0	190
1	66

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

52.0ms

512×

valid

Compiler

Compiled 59 to 25 computations (57.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-mult: 31.0ms (80.6% of total)

ival-div: 3.0ms (7.8% of total)

ival-add: 3.0ms (7.8% of total)

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

exact: 0.0ms (0% of total)

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

preprocess50.0ms (1.4%)

Memory

-43.4MiB live, 20.0MiB allocated

Algorithm

1×	egg-herbie

Rules

1 808×	`div-sub`
832×	`distribute-rgt-in`
832×	`distribute-lft-in`
620×	`sub-neg`
502×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	51
1	62	45
2	206	45
3	853	45
4	2809	37
5	6431	37
0	7	9
0	11	9
1	18	9
2	32	9
3	46	9
4	48	9
0	48	9

Stop Event

1×	iter limit
1×	saturated
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 (/.f64 (+.f64 y x) y) x) #s(literal 2 binary64))

Symmetry

(sort x y)

Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.8%	(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify4.0ms (0.1%)

Memory

5.9MiB live, 5.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	-768	(/.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

38×	`lower-/.f32`
36×	`lower-/.f64`
32×	`associate-/r*`
24×	`lower-*.f32`
20×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	23
0	11	23
1	18	23
2	32	23
3	46	23
4	48	23
0	48	23

Stop Event

1×	iter limit
1×	saturated
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 (/.f64 (+.f64 y x) y) x) #s(literal 2 binary64))
(+.f64 x y)
(+.f64 y x)
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)

localize39.0ms (1.1%)

Memory

-13.3MiB live, 25.3MiB 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	16.14076887424131	(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Samples

14.0ms

256×

valid

Compiler

Compiled 25 to 9 computations (64% saved)

Precisions

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

ival-mult: 3.0ms (44.7% of total)

ival-div: 2.0ms (29.8% of total)

ival-add: 1.0ms (14.9% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.3%)

Memory

5.6MiB live, 5.6MiB 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 y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* 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 y (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 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 x)) (* 1/2 (/ 1 y))) (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 x)) (* 1/2 (/ 1 y))) (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 x)) (* 1/2 (/ 1 y))) (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 y (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ 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 x)) (* 1/2 (/ 1 y))) (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 x)) (* 1/2 (/ 1 y))) (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 x)) (* 1/2 (/ 1 y))) (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 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 (* 1/2 (/ x y))) 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 (* 1/2 (/ x y))) 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 (* 1/2 (/ x y))) 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 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 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 x)) (* 1/2 (/ 1 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 x)) (* 1/2 (/ 1 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 x)) (* 1/2 (/ 1 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 x (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ 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 x)) (* 1/2 (/ 1 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 x)) (* 1/2 (/ 1 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 x)) (* 1/2 (/ 1 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>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	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)))

simplify172.0ms (4.9%)

Memory

5.6MiB live, 124.4MiB allocated

Algorithm

1×	egg-herbie

Rules

3 986×	`lower-*.f64`
3 986×	`lower-*.f32`
3 612×	`lower-fma.f64`
3 612×	`lower-fma.f32`
1 830×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	372
1	93	372
2	175	372
3	476	372
4	1338	372
5	2520	372
6	4202	372
7	5347	372
8	6256	372
9	6922	372
10	7381	372
11	7982	372
0	8006	366

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 78

Calls

Call 1

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

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

rewrite245.0ms (7%)

Memory

40.1MiB live, 303.8MiB allocated

Rules

5 768×	`lower-/.f32`
5 766×	`lower-/.f64`
4 196×	`lower-*.f32`
4 192×	`lower-*.f64`
1 826×	`frac-2neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
0	11	20
1	39	20
2	251	20
3	2914	20
0	8839	20

Stop Event

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

Counts

4 → 590

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

eval77.0ms (2.2%)

Memory: -3.9MiB live, 156.8MiB allocated
Compiler: Compiled 13 607 to 1 678 computations (87.7% saved)

prune70.0ms (2%)

Memory

-8.7MiB live, 41.8MiB allocated

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	663	5	668
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	663	6	669

Accuracy

100.0%

Counts

669 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	74.8%	(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
▶	88.9%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y))
▶	91.1%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64)) x))
▶	55.4%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
▶	46.3%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x))
▶	100.0%	#s(approx (/ (+ x y) (* (* x 2) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x)))

Compiler

Compiled 77 to 71 computations (7.8% saved)

simplify101.0ms (2.9%)

Memory

-5.5MiB live, 107.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 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 #s(literal 1/2 binary64) y)
cost-diff	0	(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64)) x))
cost-diff	192	(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64)) x)
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))
cost-diff	0	#s(approx (/ (+ x y) (* (* x 2) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x)))

Rules

3 602×	`lower-fma.f32`
3 598×	`lower-fma.f64`
2 260×	`lower-*.f64`
2 260×	`lower-*.f32`
1 268×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	146
0	34	142
1	54	142
2	88	142
3	124	142
4	175	142
5	255	142
6	415	142
7	746	142
8	2403	142
9	5188	142
10	7139	142
0	8133	142

Stop Event

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

Calls

Call 1

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

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

localize121.0ms (3.4%)

Memory

-7.3MiB live, 116.8MiB allocated

Localize:

Found 16 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	7.121212049140567	(/.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y)
accuracy	0	(/.f64 #s(literal 1/2 binary64) y)
accuracy	0	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64)) x))
accuracy	0.125	(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64))
accuracy	5.750737634513701	(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64)) x)
accuracy	0	(/.f64 #s(literal 1/2 binary64) y)
accuracy	28.521247818278646	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
accuracy	0	(/.f64 #s(literal 1/2 binary64) x)
accuracy	34.38909876966186	#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	#s(approx (/ (+ x y) (* (* x 2) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x)))
accuracy	0.015625	(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))

Samples

85.0ms

256×

valid

Compiler

Compiled 118 to 22 computations (81.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-div: 40.0ms (77.1% of total)

ival-mult: 6.0ms (11.6% of total)

ival-add: 4.0ms (7.7% of total)

ival-sub: 1.0ms (1.9% of total)

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

exact: 0.0ms (0% of total)

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

series37.0ms (1.1%)

Memory

8.9MiB live, 46.0MiB allocated

Counts

14 → 300

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
18.0ms	x	@	-inf	((/ (+ x y) (* (* x 2) y)) (- (/ 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)) (/ (+ (* (/ 1/2 y) x) 1/2) x) (/ (+ x y) (* (* x 2) y)) (+ (* (/ 1/2 y) x) 1/2) (/ (+ (* (/ y x) 1/2) 1/2) y) (/ (+ x y) (* (* x 2) y)) (+ (* (/ y x) 1/2) 1/2) (/ y x))
2.0ms	y	@	-inf	((/ (+ x y) (* (* x 2) y)) (- (/ 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)) (/ (+ (* (/ 1/2 y) x) 1/2) x) (/ (+ x y) (* (* x 2) y)) (+ (* (/ 1/2 y) x) 1/2) (/ (+ (* (/ y x) 1/2) 1/2) y) (/ (+ x y) (* (* x 2) y)) (+ (* (/ y x) 1/2) 1/2) (/ y x))
2.0ms	x	@	0	((/ (+ x y) (* (* x 2) y)) (- (/ 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)) (/ (+ (* (/ 1/2 y) x) 1/2) x) (/ (+ x y) (* (* x 2) y)) (+ (* (/ 1/2 y) x) 1/2) (/ (+ (* (/ y x) 1/2) 1/2) y) (/ (+ x y) (* (* x 2) y)) (+ (* (/ y x) 1/2) 1/2) (/ y x))
2.0ms	y	@	0	((/ (+ x y) (* (* x 2) y)) (- (/ 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)) (/ (+ (* (/ 1/2 y) x) 1/2) x) (/ (+ x y) (* (* x 2) y)) (+ (* (/ 1/2 y) x) 1/2) (/ (+ (* (/ y x) 1/2) 1/2) y) (/ (+ x y) (* (* x 2) y)) (+ (* (/ y x) 1/2) 1/2) (/ y x))
2.0ms	y	@	inf	((/ (+ x y) (* (* x 2) y)) (- (/ 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)) (/ (+ (* (/ 1/2 y) x) 1/2) x) (/ (+ x y) (* (* x 2) y)) (+ (* (/ 1/2 y) x) 1/2) (/ (+ (* (/ y x) 1/2) 1/2) y) (/ (+ x y) (* (* x 2) y)) (+ (* (/ y x) 1/2) 1/2) (/ y x))

simplify215.0ms (6.1%)

Memory

2.1MiB live, 241.7MiB allocated

Algorithm

1×	egg-herbie

Rules

8 872×	`lower-fma.f64`
8 872×	`lower-fma.f32`
5 582×	`distribute-lft-in`
5 024×	`lower-*.f64`
5 024×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	1908
1	66	1908
2	127	1908
3	199	1620
4	244	1620
5	687	1620
6	1970	1620
7	4326	1620
8	4410	1620
9	4414	1620
10	4414	1620
11	5368	1620
12	5571	1620
13	5571	1620
14	5571	1620
0	8870	1584

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 300

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

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

rewrite171.0ms (4.9%)

Memory

-6.4MiB live, 308.8MiB allocated

Rules

5 310×	`lower-/.f32`
5 298×	`lower-/.f64`
4 648×	`lower-*.f64`
4 648×	`lower-*.f32`
3 460×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	126
0	34	126
1	146	126
2	1128	126
0	8210	126

Stop Event

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

Counts

14 → 422

Calls

Call 1

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

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

eval170.0ms (4.9%)

Memory: 24.4MiB live, 294.8MiB allocated
Compiler: Compiled 10 243 to 1 713 computations (83.3% saved)

prune31.0ms (0.9%)

Memory

-13.8MiB live, 98.0MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	780	0	780
Fresh	0	0	0
Picked	0	5	5
Done	0	1	1
Total	780	6	786

Accuracy

100.0%

Counts

786 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	74.8%	(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
✓	88.9%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y))
✓	91.1%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64)) x))
✓	55.4%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
✓	46.3%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x))
✓	100.0%	#s(approx (/ (+ x y) (* (* x 2) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x)))

Compiler

Compiled 86 to 62 computations (27.9% saved)

regimes42.0ms (1.2%)

Memory

1.4MiB live, 63.9MiB allocated

Counts

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

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

Calls

3 calls:

33.0ms	x
5.0ms	y
4.0ms	(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

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)

regimes41.0ms (1.2%)

Memory

3.5MiB live, 118.1MiB 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 (+.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) y))

(/.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))

Calls

3 calls:

16.0ms	(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
14.0ms	x
11.0ms	y

Results

Accuracy	Segments	Branch
90.5%	3	`x`
90.7%	3	`y`
87.8%	5	`(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes46.0ms (1.3%)

Memory

-4.4MiB live, 68.9MiB allocated

Counts

2 → 2

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))

Outputs
#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

2 calls:

32.0ms	x
14.0ms	y

Results

Accuracy	Segments	Branch
88.2%	4	`x`
85.5%	2	`y`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes8.0ms (0.2%)

Memory

22.5MiB live, 22.5MiB 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:

3.0ms	y
2.0ms	x
2.0ms	(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Results

Accuracy	Segments	Branch
46.3%	1	`(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
46.3%	1	`x`
46.3%	1	`y`

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch45.0ms (1.3%)

Memory

-17.7MiB live, 60.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
5.0ms	1.9383600287908813e+117	2.2090469644168396e+117
38.0ms	1.4321354613036017e-169	4.361887923612486e-162

Samples

11.0ms

176×

valid

Compiler

Compiled 155 to 166 computations (-7.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 2.0ms (41.6% of total)

ival-div: 1.0ms (20.8% of total)

ival-add: 1.0ms (20.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch5.0ms (0.1%)

Memory

19.7MiB live, 19.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
4.0ms	1.9130746604997253e-109	2.734821132618142e-109

Samples

2.0ms

48×

valid

Compiler

Compiled 36 to 48 computations (-33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-mult: 1.0ms (79.7% of total)

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

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

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

exact: 0.0ms (0% of total)

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

simplify49.0ms (1.4%)

Memory

-39.7MiB live, 81.6MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	103
1	34	103
2	43	103
3	49	103
4	54	103
5	56	103

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (/ (+ x y) (* (* x 2) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x)))
(if (<=.f64 y #s(literal 3371481399715807/259344723055062059907025491480697571938277889515152306249728583105665800713306759149981690559193987143012367913206299323899696942213235956742929677132122730441323862712594345230336 binary64)) #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 y #s(literal 2200000000000000139218750274411627023270149974872160690365627959822031266999451654860711819383148699616286315015831552 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) x))))
(if (<=.f64 y #s(literal 1427880892586937/5288447750321988791615322464262168318627237463714249754277190362195246329890490766601513683517722278780729696200186866434048 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
#s(approx (/ (+ x y) (* (* x 2) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x)))
(if (<=.f64 y #s(literal 3371481399715807/259344723055062059907025491480697571938277889515152306249728583105665800713306759149981690559193987143012367913206299323899696942213235956742929677132122730441323862712594345230336 binary64)) #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 y #s(literal 2200000000000000139218750274411627023270149974872160690365627959822031266999451654860711819383148699616286315015831552 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) x))))
(if (<=.f64 y #s(literal 3371481399715807/259344723055062059907025491480697571938277889515152306249728583105665800713306759149981690559193987143012367913206299323899696942213235956742929677132122730441323862712594345230336 binary64)) #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 y #s(literal 2200000000000000139218750274411627023270149974872160690365627959822031266999451654860711819383148699616286315015831552 binary64)) (/.f64 (+.f64 y x) (.f64 (.f64 #s(literal 2 binary64) x) y)) #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x))))
(if (<=.f64 y #s(literal 1427880892586937/5288447750321988791615322464262168318627237463714249754277190362195246329890490766601513683517722278780729696200186866434048 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))

soundness473.0ms (13.5%)

Memory

28.8MiB live, 176.1MiB allocated

Rules

3 986×	`lower-*.f64`
3 986×	`lower-*.f32`
3 612×	`lower-fma.f64`
3 612×	`lower-fma.f32`
1 830×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	372
1	93	372
2	175	372
3	476	372
4	1338	372
5	2520	372
6	4202	372
7	5347	372
8	6256	372
9	6922	372
10	7381	372
11	7982	372
0	8006	366

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 71 to 52 computations (26.8% saved)

preprocess78.0ms (2.2%)

Memory: -24.7MiB live, 79.1MiB allocated
Remove: (sort x y)
Compiler: Compiled 146 to 92 computations (37% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze20.0ms (0.6%)

sample1.1s (30%)

explain133.0ms (3.8%)

preprocess50.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize39.0ms (1.1%)

series11.0ms (0.3%)

simplify172.0ms (4.9%)

rewrite245.0ms (7%)

eval77.0ms (2.2%)

prune70.0ms (2%)

simplify101.0ms (2.9%)

localize121.0ms (3.4%)

series37.0ms (1.1%)

simplify215.0ms (6.1%)

rewrite171.0ms (4.9%)

eval170.0ms (4.9%)

prune31.0ms (0.9%)

regimes42.0ms (1.2%)

regimes41.0ms (1.2%)

regimes46.0ms (1.3%)

regimes8.0ms (0.2%)

bsearch45.0ms (1.3%)

bsearch5.0ms (0.1%)

simplify49.0ms (1.4%)

soundness473.0ms (13.5%)

preprocess78.0ms (2.2%)

end0.0ms (0%)

Profiling