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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze20.0ms (0.3%)

Memory

7.6MiB live, 7.6MiB allocated

Algorithm

1×

Search

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

sample820.0ms (14.2%)

Memory

20.6MiB live, 771.3MiB allocated

Samples

591.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 405.0ms

ival-sub: 197.0ms (48.7% of total)

ival-mult: 100.0ms (24.7% of total)

ival-div: 94.0ms (23.2% of total)

ival-true: 6.0ms (1.5% of total)

exact: 5.0ms (1.2% of total)

ival-assert: 3.0ms (0.7% of total)

Bogosity

explain107.0ms (1.8%)

Memory

-14.3MiB live, 181.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
64	-	3	(-3.6882250609696354e-244 3.0797038484182593e-68)	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
1	-	1	(1.156996157602034e+308 -1.3498251320823877e-69)	`(.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	-	`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	40	0
↳	`(*.f64 x #s(literal 2 binary64))`	overflow	1
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	overflow	40
`/.f64`	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`	n/u	21	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	underflow	21

Confusion

	Predicted +	Predicted -
+	61	4
-	0	191

Precision

1.0

Recall

0.9384615384615385

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	61	0	4
-	0	0	191

Precision?

1.0

Recall?

0.9384615384615385

Freqs

test

number	freq
0	195
1	61

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

33.0ms

512×

valid

Compiler

Compiled 105 to 45 computations (57.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 7.0ms (51.1% of total)

ival-sub: 3.0ms (21.9% of total)

ival-div: 3.0ms (21.9% of total)

ival-true: 1.0ms (7.3% of total)

exact: 0.0ms (0% of total)

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

preprocess247.0ms (4.3%)

Memory

-1.3MiB live, 194.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.5%	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify129.0ms (2.2%)

Memory

2.9MiB live, 162.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize35.0ms (0.6%)

Memory

-6.3MiB live, 37.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 x y)
accuracy	0	(*.f64 x #s(literal 2 binary64))
accuracy	0.23373459710852706	(.f64 (.f64 x #s(literal 2 binary64)) y)
accuracy	14.79472081595308	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Samples

30.0ms

256×

valid

Compiler

Compiled 48 to 16 computations (66.7% saved)

Precisions

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

ival-mult: 3.0ms (45% of total)

ival-sub: 2.0ms (30% of total)

ival-div: 2.0ms (30% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.2%)

Memory

12.2MiB live, 12.3MiB allocated

Counts

4 → 15

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

Calls

6 calls:

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

simplify207.0ms (3.6%)

Memory

14.9MiB live, 169.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	62
1	106	62
2	239	62
3	550	58
4	1453	58
5	2636	58
6	4375	58
7	5573	58
8	6057	58
9	6286	58
10	6406	58
11	7563	58
0	8011	57

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 14

Calls

Call 1

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

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

rewrite170.0ms (2.9%)

Memory

-13.8MiB live, 225.7MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

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

Counts

4 → 623

Calls

Call 1

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

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

eval70.0ms (1.2%)

Memory: -3.5MiB live, 115.2MiB allocated
Compiler: Compiled 13 842 to 1 731 computations (87.5% saved)

prune12.0ms (0.2%)

Memory

-2.4MiB live, 36.2MiB allocated

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	624	7	631
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	624	8	632

Accuracy

100.0%

Counts

632 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	76.5%	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
▶	39.0%	(/.f64 #s(approx (- x y) (neg.f64 y)) (.f64 (.f64 x #s(literal 2 binary64)) y))
	87.2%	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 (-.f64 x y) x)))
▶	100.0%	(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
▶	75.8%	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y x)) (-.f64 x y))
	87.5%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y))
▶	47.9%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
▶	52.5%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))

Compiler

Compiled 175 to 135 computations (22.9% saved)

simplify93.0ms (1.6%)

Memory

24.4MiB live, 103.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	-384	(/.f64 #s(literal 1/2 binary64) (*.f64 y x))
cost-diff	0	(-.f64 x y)
cost-diff	0	(*.f64 y x)
cost-diff	320	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y x)) (-.f64 x y))
cost-diff	0	(.f64 (.f64 x #s(literal 2 binary64)) y)
cost-diff	0	(neg.f64 y)
cost-diff	0	#s(approx (- x y) (neg.f64 y))
cost-diff	0	(/.f64 #s(approx (- x y) (neg.f64 y)) (.f64 (.f64 x #s(literal 2 binary64)) y))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) y)
cost-diff	0	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
cost-diff	0	(/.f64 #s(literal -1/2 binary64) x)
cost-diff	0	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) x)
cost-diff	0	(/.f64 #s(literal 1/2 binary64) y)
cost-diff	0	(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	106
0	36	104
1	59	104
2	132	100
3	303	100
4	934	100
5	2520	100
6	5723	100
0	8106	100

Stop Event

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

Calls

Call 1

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

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

localize47.0ms (0.8%)

Memory

-4.6MiB live, 70.2MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 x y)
accuracy	0	(*.f64 y x)
accuracy	0.33142084712018893	(/.f64 #s(literal 1/2 binary64) (*.f64 y x))
accuracy	15.252057025466925	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y x)) (-.f64 x y))
accuracy	0	(neg.f64 y)
accuracy	0.23373459710852706	(.f64 (.f64 x #s(literal 2 binary64)) y)
accuracy	14.79472081595308	(/.f64 #s(approx (- x y) (neg.f64 y)) (.f64 (.f64 x #s(literal 2 binary64)) y))
accuracy	30.429921920953415	#s(approx (- x y) (neg.f64 y))
accuracy	0	(/.f64 #s(literal 1/2 binary64) y)
accuracy	33.35685436757074	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
accuracy	0	(/.f64 #s(literal -1/2 binary64) x)
accuracy	30.413252443882495	#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	0.015625	(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))

Samples

34.0ms

256×

valid

Compiler

Compiled 200 to 44 computations (78% saved)

Precisions

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

ival-div: 8.0ms (40.9% of total)

ival-mult: 6.0ms (30.7% of total)

ival-sub: 4.0ms (20.5% of total)

ival-neg: 1.0ms (5.1% of total)

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

exact: 0.0ms (0% of total)

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

series16.0ms (0.3%)

Memory

-17.8MiB live, 19.1MiB allocated

Counts

14 → 17

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	y	@	0	((- (/ 1/2 y) (/ 1/2 x)) (/ 1/2 y) (/ 1/2 x) (/ (- x y) (* (* x 2) y)) (/ -1/2 x) (/ (- x y) (* (* x 2) y)) (/ (- x y) (* (* x 2) y)) (- x y) (neg y) (* (* x 2) y) (* (/ 1/2 (* y x)) (- x y)) (* y x) (- x y) (/ 1/2 (* y x)))
2.0ms	x	@	0	((- (/ 1/2 y) (/ 1/2 x)) (/ 1/2 y) (/ 1/2 x) (/ (- x y) (* (* x 2) y)) (/ -1/2 x) (/ (- x y) (* (* x 2) y)) (/ (- x y) (* (* x 2) y)) (- x y) (neg y) (* (* x 2) y) (* (/ 1/2 (* y x)) (- x y)) (* y x) (- x y) (/ 1/2 (* y x)))
2.0ms	x	@	inf	((- (/ 1/2 y) (/ 1/2 x)) (/ 1/2 y) (/ 1/2 x) (/ (- x y) (* (* x 2) y)) (/ -1/2 x) (/ (- x y) (* (* x 2) y)) (/ (- x y) (* (* x 2) y)) (- x y) (neg y) (* (* x 2) y) (* (/ 1/2 (* y x)) (- x y)) (* y x) (- x y) (/ 1/2 (* y x)))
2.0ms	x	@	-inf	((- (/ 1/2 y) (/ 1/2 x)) (/ 1/2 y) (/ 1/2 x) (/ (- x y) (* (* x 2) y)) (/ -1/2 x) (/ (- x y) (* (* x 2) y)) (/ (- x y) (* (* x 2) y)) (- x y) (neg y) (* (* x 2) y) (* (/ 1/2 (* y x)) (- x y)) (* y x) (- x y) (/ 1/2 (* y x)))
2.0ms	y	@	inf	((- (/ 1/2 y) (/ 1/2 x)) (/ 1/2 y) (/ 1/2 x) (/ (- x y) (* (* x 2) y)) (/ -1/2 x) (/ (- x y) (* (* x 2) y)) (/ (- x y) (* (* x 2) y)) (- x y) (neg y) (* (* x 2) y) (* (/ 1/2 (* y x)) (- x y)) (* y x) (- x y) (/ 1/2 (* y x)))

simplify179.0ms (3.1%)

Memory

7.3MiB live, 164.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	70
1	107	70
2	245	70
3	572	66
4	1490	66
5	2681	66
6	4511	66
7	5773	66
8	6284	66
9	6451	66
10	6569	66
11	7643	66
0	8079	65

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 16

Calls

Call 1

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

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

rewrite312.0ms (5.4%)

Memory

9.8MiB live, 220.9MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	87
0	36	85
1	124	81
2	1007	81
0	8243	81

Stop Event

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

Counts

14 → 990

Calls

Call 1

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

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

eval125.0ms (2.2%)

Memory: -6.8MiB live, 147.2MiB allocated
Compiler: Compiled 11 290 to 1 689 computations (85% saved)

prune12.0ms (0.2%)

Memory

-0.1MiB live, 38.0MiB allocated

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	616	1	617
Fresh	1	1	2
Picked	0	5	5
Done	0	1	1
Total	617	8	625

Accuracy

100.0%

Counts

625 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	76.5%	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
✓	39.0%	(/.f64 #s(approx (- x y) (neg.f64 y)) (.f64 (.f64 x #s(literal 2 binary64)) y))
▶	87.6%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (-.f64 x y)) (.f64 #s(literal 2 binary64) y)))
✓	100.0%	(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
✓	75.8%	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y x)) (-.f64 x y))
▶	87.5%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y))
✓	47.9%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
✓	52.5%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))

Compiler

Compiled 92 to 71 computations (22.8% saved)

simplify121.0ms (2.1%)

Memory

4.9MiB live, 164.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 x y)
cost-diff	0	(/.f64 x (-.f64 x y))
cost-diff	0	(.f64 (/.f64 x (-.f64 x y)) (.f64 #s(literal 2 binary64) y))
cost-diff	640	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (-.f64 x y)) (.f64 #s(literal 2 binary64) y)))
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)

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	19	74
0	28	71
1	51	71
2	110	69
3	256	69
4	660	66
5	2138	66
6	5720	66
0	8902	66

Stop Event

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

Calls

Call 1

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

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

localize149.0ms (2.6%)

Memory

-16.2MiB live, 60.6MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 #s(literal 2 binary64) y)
accuracy	0.015625	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (-.f64 x y)) (.f64 #s(literal 2 binary64) y)))
accuracy	0.03125	(/.f64 x (-.f64 x y))
accuracy	7.901887349539458	(.f64 (/.f64 x (-.f64 x y)) (.f64 #s(literal 2 binary64) y))
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	8.024823266542874	(/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y)

Samples

29.0ms

256×

valid

Compiler

Compiled 143 to 40 computations (72% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-div: 8.0ms (43.7% of total)

ival-mult: 7.0ms (38.2% of total)

ival-sub: 2.0ms (10.9% of total)

ival-add: 1.0ms (5.5% of total)

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

exact: 0.0ms (0% of total)

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

series13.0ms (0.2%)

Memory

15.4MiB live, 15.4MiB allocated

Counts

9 → 56

Calls

Call 1

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

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

Calls

6 calls:

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

simplify233.0ms (4%)

Memory

-5.8MiB live, 154.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	234	718
1	687	682
2	1850	632
3	6467	624
0	8279	578

Stop Event

1×	iter limit
1×	node limit

Counts

56 → 55

Calls

Call 1

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

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

rewrite288.0ms (5%)

Memory

7.0MiB live, 218.9MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	66
0	28	64
1	110	64
2	706	60
0	8552	60

Stop Event

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

Counts

9 → 968

Calls

Call 1

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

Outputs
(.f64 (/.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal -1/4 binary64)) y) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 x y) #s(literal -3 binary64)) #s(literal -1/8 binary64))) (fma.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64) (.f64 #s(literal -1/4 binary64) (/.f64 y x))))
(*.f64 (/.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal -1/4 binary64)) y) (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal -1/4 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)))
(.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 x y) #s(literal -3 binary64)) #s(literal 1/8 binary64)) y) (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (/.f64 y x)) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/4 binary64) (/.f64 y x))) #s(literal 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 #s(literal 1/4 binary64) (/.f64 y x))))
(.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 x y) #s(literal -3 binary64)) #s(literal 1/8 binary64)) y) (+.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (/.f64 y x)) #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/4 binary64) (/.f64 y x))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (/.f64 y x)) #s(literal 4 binary64)) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/4 binary64) (/.f64 y x))) (-.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/4 binary64) (/.f64 y x))) (pow.f64 (.f64 #s(literal -1/2 binary64) (/.f64 y x)) #s(literal 2 binary64))))))
(.f64 (.f64 (pow.f64 y #s(literal -1 binary64)) (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 #s(literal -1/2 binary64) (/.f64 y x) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (pow.f64 y #s(literal -1 binary64)) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 x y) #s(literal -3 binary64)) #s(literal 1/8 binary64))) (pow.f64 (fma.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 y x))) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) y))
(*.f64 (pow.f64 (/.f64 y (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 y (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 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 y (fma.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 x y) #s(literal -3 binary64)) #s(literal 1/8 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 y x))) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal -1/4 binary64)) y) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 x y) #s(literal -3 binary64)) #s(literal 1/8 binary64)) y) (pow.f64 (fma.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 y x))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (fma.f64 #s(literal 1/2 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)) (.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))))
(.f64 (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 #s(literal -1/2 binary64) (/.f64 y x) #s(literal -1/2 binary64)) y)))
(.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal -1/2 binary64)))))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)))
(.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 x y) #s(literal -3 binary64)) #s(literal 1/8 binary64)) (.f64 (pow.f64 (fma.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 y x))) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))))
(.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 x y) #s(literal -3 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 y x))) y)))
(.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 x y) #s(literal -3 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 y x))))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal -1/2 binary64)) y))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) (pow.f64 y #s(literal -1 binary64)))
(pow.f64 (/.f64 y (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) y)
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal -1/4 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal -1/2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 x y) #s(literal -3 binary64)) #s(literal 1/8 binary64)))) (fma.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 y x))))
(/.f64 (*.f64 (neg.f64 (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) y)) (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal -1/2 binary64)))
(/.f64 (.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 x y) #s(literal -3 binary64)) #s(literal 1/8 binary64))) (/.f64 #s(literal -1 binary64) y)) (fma.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 y x))))
(/.f64 (*.f64 (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) y)) (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 x y) #s(literal -3 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal -1 binary64) y)) (neg.f64 (fma.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 y x)))))
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(/.f64 (-.f64 (.f64 y y) (.f64 x x)) (-.f64 (neg.f64 y) x))
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(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 x y) (.f64 y y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (+.f64 x y) (.f64 y y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 x y) (.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 x y) (.f64 y y))) (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (+.f64 x y) (.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (+.f64 x y) (.f64 y y))) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 x y) (.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (+.f64 x y) (*.f64 y y)))))))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y y (-.f64 (.f64 x x) (.f64 (neg.f64 y) x))))
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 y x))) (neg.f64 (neg.f64 (+.f64 x y))))
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 y x))) (+.f64 x y))
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(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (fma.f64 x (+.f64 x y) (*.f64 y y)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 x x (*.f64 y y)) (+.f64 x y)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (+.f64 x y)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x (+.f64 x y) (*.f64 y y))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64)))) (fma.f64 x (+.f64 x y) (.f64 y y))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (-.f64 y x))) (neg.f64 (+.f64 x y)))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 x (+.f64 x y) (.f64 y y))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (-.f64 x y))) (+.f64 x y))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 x x (.f64 (neg.f64 y) (-.f64 (neg.f64 y) x))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 x (+.f64 x y) (.f64 y y)))
(/.f64 (.f64 (.f64 (+.f64 x y) (-.f64 y x)) #s(literal 1 binary64)) (neg.f64 (+.f64 x y)))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1 binary64)) (neg.f64 (fma.f64 x (+.f64 x y) (.f64 y y))))
(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 x y)) (.f64 (+.f64 x y) (.f64 y y))) (*.f64 (+.f64 x y) (+.f64 x y)))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 x y) (.f64 y y))) (.f64 (fma.f64 x (+.f64 x y) (.f64 y y)) (pow.f64 y #s(literal 3 binary64)))) (.f64 (fma.f64 x (+.f64 x y) (.f64 y y)) (fma.f64 x (+.f64 x y) (*.f64 y y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (.f64 (+.f64 x y) (fma.f64 x x (.f64 y y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (.f64 (+.f64 x y) (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 x y) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (.f64 (fma.f64 x (+.f64 x y) (.f64 y y)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) (.f64 (fma.f64 x (+.f64 x y) (.f64 y y)) (+.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))))))
(/.f64 (.f64 (+.f64 x y) (-.f64 y x)) (.f64 #s(literal 1 binary64) (neg.f64 (+.f64 x y))))
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (neg.f64 (+.f64 x y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (+.f64 x y) (.f64 y y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 (neg.f64 y) (-.f64 (neg.f64 y) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (+.f64 x y) (*.f64 y y))))
(/.f64 (.f64 (+.f64 x y) (-.f64 x y)) (.f64 #s(literal 1 binary64) (+.f64 x y)))
(/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (neg.f64 (neg.f64 (+.f64 x y))))
(/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (+.f64 x y))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 (neg.f64 y) (-.f64 (neg.f64 y) x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x y) (.f64 y y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x x (*.f64 (neg.f64 y) (-.f64 (neg.f64 y) x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x (+.f64 x y) (*.f64 y y)))
(/.f64 (-.f64 y x) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))
(/.f64 (-.f64 x y) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (neg.f64 y) (-.f64 (neg.f64 y) x))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))
(neg.f64 (-.f64 y x))
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(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 y (+.f64 x y)) #s(literal 3 binary64)))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 y (+.f64 x y)) (-.f64 (.f64 y (+.f64 x y)) (.f64 x x)))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (+.f64 x y) (.f64 y y)))))
(fma.f64 (/.f64 (.f64 x x) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 x x (.f64 y (-.f64 y x))) (neg.f64 (/.f64 (*.f64 y y) (+.f64 x y))))
(fma.f64 (/.f64 (.f64 x x) (.f64 (+.f64 x y) (-.f64 x y))) (-.f64 x y) (neg.f64 (/.f64 (*.f64 y y) (+.f64 x y))))
(fma.f64 (.f64 x x) (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (neg.f64 (/.f64 (.f64 y y) (+.f64 x y))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x (+.f64 x y) (.f64 y y)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (+.f64 x y) (.f64 y y)))))
(fma.f64 (neg.f64 y) #s(literal 1 binary64) x)
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 #s(literal 1 binary64) (neg.f64 y)))
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (neg.f64 y))
(fma.f64 #s(literal -1 binary64) y x)
(fma.f64 #s(literal 1 binary64) (neg.f64 y) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 1 binary64) (neg.f64 y)))
(fma.f64 #s(literal 1 binary64) x (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x (neg.f64 y))
(fma.f64 x #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 y)))
(fma.f64 x #s(literal 1 binary64) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (neg.f64 y))
(-.f64 (+.f64 x #s(literal 0 binary64)) y)
(-.f64 (/.f64 (/.f64 (.f64 x x) (+.f64 x y)) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 y y) (+.f64 x y)) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 x y) (.f64 y y))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (+.f64 x y) (.f64 y y))) #s(literal 1 binary64)))
(-.f64 (/.f64 (.f64 x x) (+.f64 x y)) (/.f64 (.f64 y y) (+.f64 x y)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 x y) (.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (+.f64 x y) (.f64 y y))))
(-.f64 #s(literal 0 binary64) (-.f64 y x))
(-.f64 x y)
(+.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) x)
(+.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) x)
(+.f64 (/.f64 (.f64 x x) (+.f64 x y)) (neg.f64 (/.f64 (.f64 y y) (+.f64 x y))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 x y) (.f64 y y))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (+.f64 x y) (.f64 y y)))))
(+.f64 (neg.f64 y) x)
(+.f64 x (*.f64 #s(literal 1 binary64) (neg.f64 y)))
(+.f64 x (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(+.f64 x (neg.f64 y))
(.f64 (.f64 #s(literal 2 binary64) y) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) y))
(.f64 (.f64 (*.f64 #s(literal 2 binary64) x) y) (pow.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal 2 binary64) y)
(*.f64 y #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) y) #s(literal -1 binary64))
(/.f64 (.f64 #s(literal -2 binary64) (.f64 x y)) (neg.f64 x))
(/.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) x) y) x)

eval183.0ms (3.2%)

Memory: 6.0MiB live, 193.5MiB allocated
Compiler: Compiled 23 007 to 3 127 computations (86.4% saved)

prune20.0ms (0.3%)

Memory

-0.6MiB live, 71.1MiB allocated

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	1 004	1	1 005
Fresh	0	0	0
Picked	1	1	2
Done	0	6	6
Total	1 005	8	1 013

Accuracy

100.0%

Counts

1 013 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	76.5%	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
✓	39.0%	(/.f64 #s(approx (- x y) (neg.f64 y)) (.f64 (.f64 x #s(literal 2 binary64)) y))
▶	88.0%	(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x (-.f64 x y)) y))
✓	100.0%	(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
✓	75.8%	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y x)) (-.f64 x y))
✓	87.5%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y))
✓	47.9%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
✓	52.5%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))

Compiler

Compiled 90 to 69 computations (23.3% saved)

simplify125.0ms (2.2%)

Memory

3.0MiB live, 135.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 5 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize214.0ms (3.7%)

Memory

4.3MiB live, 85.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 x y)
accuracy	0.015625	(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x (-.f64 x y)) y))
accuracy	0.03125	(/.f64 x (-.f64 x y))
accuracy	7.663488841481334	(*.f64 (/.f64 x (-.f64 x y)) y)

Samples

196.0ms

256×

valid

Compiler

Compiled 56 to 16 computations (71.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 189.0ms

ival-sub: 182.0ms (96.5% of total)

ival-div: 5.0ms (2.6% of total)

ival-mult: 2.0ms (1.1% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

-31.3MiB live, 6.8MiB allocated

Counts

4 → 49

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	y	@	-inf	((/ 1/2 (* (/ x (- x y)) y)) (* (/ x (- x y)) y) (/ x (- x y)) (- x y))
1.0ms	x	@	inf	((/ 1/2 (* (/ x (- x y)) y)) (* (/ x (- x y)) y) (/ x (- x y)) (- x y))
1.0ms	x	@	-inf	((/ 1/2 (* (/ x (- x y)) y)) (* (/ x (- x y)) y) (/ x (- x y)) (- x y))
1.0ms	x	@	0	((/ 1/2 (* (/ x (- x y)) y)) (* (/ x (- x y)) y) (/ x (- x y)) (- x y))
0.0ms	y	@	inf	((/ 1/2 (* (/ x (- x y)) y)) (* (/ x (- x y)) y) (/ x (- x y)) (- x y))

simplify141.0ms (2.4%)

Memory

50.9MiB live, 198.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	182	625
1	535	584
2	1412	526
3	4875	510
0	8114	477

Stop Event

1×	iter limit
1×	node limit

Counts

49 → 47

Calls

Call 1

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

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

rewrite220.0ms (3.8%)

Memory

-33.1MiB live, 202.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 603

Calls

Call 1

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

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

eval138.0ms (2.4%)

Memory: 10.5MiB live, 182.6MiB allocated
Compiler: Compiled 14 569 to 2 474 computations (83% saved)

prune64.0ms (1.1%)

Memory

-14.3MiB live, 32.9MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	629	0	629
Fresh	0	0	0
Picked	0	1	1
Done	0	7	7
Total	629	8	637

Accuracy

100.0%

Counts

637 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	76.5%	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
✓	39.0%	(/.f64 #s(approx (- x y) (neg.f64 y)) (.f64 (.f64 x #s(literal 2 binary64)) y))
✓	88.0%	(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x (-.f64 x y)) y))
✓	100.0%	(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
✓	75.8%	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y x)) (-.f64 x y))
✓	87.5%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y))
✓	47.9%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
✓	52.5%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))

Compiler

Compiled 202 to 109 computations (46% saved)

regimes12.0ms (0.2%)

Memory

18.5MiB live, 18.5MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	y
4.0ms	x
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)

regimes11.0ms (0.2%)

Memory

-20.8MiB live, 17.9MiB allocated

Counts

5 → 5

Calls

Call 1

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

5.0ms	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
85.1%	5	`x`
90.2%	5	`y`
90.8%	5	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes5.0ms (0.1%)

Memory

9.6MiB live, 9.6MiB allocated

Counts

4 → 5

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
89.5%	5	`y`
89.7%	5	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`

Compiler

Compiled 10 to 9 computations (10% saved)

regimes6.0ms (0.1%)

Memory

8.3MiB live, 8.3MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
73.7%	3	`x`
79.0%	3	`y`
61.0%	4	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes4.0ms (0.1%)

Memory

6.7MiB live, 6.7MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
52.5%	1	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
52.5%	1	`x`
52.5%	1	`y`

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	3.0023491400056283e+297	+inf
0.0ms	-0.0	1.0281175646370547e-136
0.0ms	-2.2989828126384767e-148	-0.0
0.0ms	-inf	-7.101673815145629e+306

Compiler

Compiled 12 to 12 computations (0% saved)

bsearch101.0ms (1.7%)

Memory

-37.1MiB live, 1.6MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
100.0ms	3.0023491400056283e+297	+inf
0.0ms	-0.0	1.0281175646370547e-136
0.0ms	-2.2989828126384767e-148	-0.0
0.0ms	-inf	-7.101673815145629e+306

Compiler

Compiled 12 to 12 computations (0% saved)

bsearch24.0ms (0.4%)

Memory

27.0MiB live, 27.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	1.2713796144626881e+43	9.797494272429932e+48
9.0ms	-4.860384306106403e-80	-5.726304125175343e-82

Samples

12.0ms

256×

valid

Compiler

Compiled 428 to 364 computations (15% saved)

Precisions

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

ival-mult: 3.0ms (46% of total)

ival-div: 2.0ms (30.7% of total)

ival-sub: 1.0ms (15.3% of total)

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

exact: 0.0ms (0% of total)

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

simplify60.0ms (1%)

Memory

-27.4MiB live, 52.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	277
1	52	277
2	63	277
3	71	277
4	77	277
5	79	277

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal -inf.0 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal -5758609657015291/28793048285076456849987446449190283896766061557132266451844835664715760516297522370041860391064901485759493828054533728788532902755163518009654497157537048672862208 binary64)) (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal 0 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal 4999999999999999797831017376714894119127812233696870733560457558998243835015834942700401512775872587353423939115559831572611431741498074611166071691150501229607379410134558461510763529142729843207341692956811227775656913210014077504201792814563184923802875085144633272926482892941009176900625498112 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 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal -inf.0 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal -5758609657015291/28793048285076456849987446449190283896766061557132266451844835664715760516297522370041860391064901485759493828054533728788532902755163518009654497157537048672862208 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y x)) (-.f64 x y)) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal 0 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal 4999999999999999797831017376714894119127812233696870733560457558998243835015834942700401512775872587353423939115559831572611431741498074611166071691150501229607379410134558461510763529142729843207341692956811227775656913210014077504201792814563184923802875085144633272926482892941009176900625498112 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y x)) (-.f64 x y)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))))))
(if (<=.f64 y #s(literal -3203980553881365/66749594872528440074844428317798503581334516323645399060845050244444366430645017188217565216768 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 y #s(literal 104999999999999993416796972718876254028169216 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))))
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))

Outputs
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal -inf.0 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal -5758609657015291/28793048285076456849987446449190283896766061557132266451844835664715760516297522370041860391064901485759493828054533728788532902755163518009654497157537048672862208 binary64)) (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal 0 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal 4999999999999999797831017376714894119127812233696870733560457558998243835015834942700401512775872587353423939115559831572611431741498074611166071691150501229607379410134558461510763529142729843207341692956811227775656913210014077504201792814563184923802875085144633272926482892941009176900625498112 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 (/.f64 (-.f64 x y) (.f64 (.f64 #s(literal 2 binary64) x) y)) #s(literal -inf.0 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 #s(literal 2 binary64) x) y)) #s(literal -5758609657015291/28793048285076456849987446449190283896766061557132266451844835664715760516297522370041860391064901485759493828054533728788532902755163518009654497157537048672862208 binary64)) (/.f64 (-.f64 x y) (.f64 (.f64 #s(literal 2 binary64) x) y)) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 #s(literal 2 binary64) x) y)) #s(literal 0 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 #s(literal 2 binary64) x) y)) #s(literal 4999999999999999797831017376714894119127812233696870733560457558998243835015834942700401512775872587353423939115559831572611431741498074611166071691150501229607379410134558461510763529142729843207341692956811227775656913210014077504201792814563184923802875085144633272926482892941009176900625498112 binary64)) (/.f64 (-.f64 x y) (.f64 (.f64 #s(literal 2 binary64) x) y)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))))))
(if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal -inf.0 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal -5758609657015291/28793048285076456849987446449190283896766061557132266451844835664715760516297522370041860391064901485759493828054533728788532902755163518009654497157537048672862208 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y x)) (-.f64 x y)) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal 0 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal 4999999999999999797831017376714894119127812233696870733560457558998243835015834942700401512775872587353423939115559831572611431741498074611166071691150501229607379410134558461510763529142729843207341692956811227775656913210014077504201792814563184923802875085144633272926482892941009176900625498112 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y x)) (-.f64 x y)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))))))
(if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 #s(literal 2 binary64) x) y)) #s(literal -inf.0 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 #s(literal 2 binary64) x) y)) #s(literal -5758609657015291/28793048285076456849987446449190283896766061557132266451844835664715760516297522370041860391064901485759493828054533728788532902755163518009654497157537048672862208 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x y)) (-.f64 x y)) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 #s(literal 2 binary64) x) y)) #s(literal 0 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 #s(literal 2 binary64) x) y)) #s(literal 4999999999999999797831017376714894119127812233696870733560457558998243835015834942700401512775872587353423939115559831572611431741498074611166071691150501229607379410134558461510763529142729843207341692956811227775656913210014077504201792814563184923802875085144633272926482892941009176900625498112 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x y)) (-.f64 x y)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))))))
(if (<=.f64 y #s(literal -3203980553881365/66749594872528440074844428317798503581334516323645399060845050244444366430645017188217565216768 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 y #s(literal 104999999999999993416796972718876254028169216 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))

soundness914.0ms (15.8%)

Memory

-2.2MiB live, 366.3MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	40	62
1	106	62
2	239	62
3	550	58
4	1453	58
5	2636	58
6	4375	58
7	5573	58
8	6057	58
9	6286	58
10	6406	58
11	7563	58
0	8011	57
0	7	20
0	11	20
1	43	20
2	301	18
3	4219	18
0	10118	18

Stop Event

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

Compiler

Compiled 332 to 95 computations (71.4% saved)

preprocess123.0ms (2.1%)

Memory: 2.1MiB live, 79.2MiB allocated
Compiler: Compiled 586 to 116 computations (80.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze20.0ms (0.3%)

sample820.0ms (14.2%)

explain107.0ms (1.8%)

preprocess247.0ms (4.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify129.0ms (2.2%)

localize35.0ms (0.6%)

series9.0ms (0.2%)

simplify207.0ms (3.6%)

rewrite170.0ms (2.9%)

eval70.0ms (1.2%)

prune12.0ms (0.2%)

simplify93.0ms (1.6%)

localize47.0ms (0.8%)

series16.0ms (0.3%)

simplify179.0ms (3.1%)

rewrite312.0ms (5.4%)

eval125.0ms (2.2%)

prune12.0ms (0.2%)

simplify121.0ms (2.1%)

localize149.0ms (2.6%)

series13.0ms (0.2%)

simplify233.0ms (4%)

rewrite288.0ms (5%)

eval183.0ms (3.2%)

prune20.0ms (0.3%)

simplify125.0ms (2.2%)

localize214.0ms (3.7%)

series6.0ms (0.1%)

simplify141.0ms (2.4%)

rewrite220.0ms (3.8%)

eval138.0ms (2.4%)

prune64.0ms (1.1%)

regimes12.0ms (0.2%)

regimes11.0ms (0.2%)

regimes5.0ms (0.1%)

regimes6.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch1.0ms (0%)

bsearch101.0ms (1.7%)

bsearch24.0ms (0.4%)

simplify60.0ms (1%)

soundness914.0ms (15.8%)

preprocess123.0ms (2.1%)

end0.0ms (0%)

Profiling