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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze57.0ms (1.4%)

Memory

0.2MiB live, 43.1MiB allocated; 11ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
25%	25%	74.9%	0.1%	0%	0%	0%	3
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	4
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	5
65.6%	65.6%	34.3%	0.1%	0%	0%	0%	6
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	7
82%	82%	18%	0.1%	0%	0%	0%	8
87.9%	87.8%	12.1%	0.1%	0%	0%	0%	9
90.8%	90.7%	9.2%	0.1%	0%	0%	0%	10
93.8%	93.8%	6.1%	0.1%	0%	0%	0%	11
95.4%	95.3%	4.6%	0.1%	0%	0%	0%	12

Compiler

Compiled 11 to 9 computations (18.2% saved)

sample1.0s (24.9%)

Memory

36.4MiB live, 1 298.2MiB allocated; 338ms collecting garbage

Samples

727.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 404.0ms

ival-mult: 214.0ms (52.9% of total)

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

ival-add: 78.0ms (19.3% of total)

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

exact: 6.0ms (1.5% of total)

ival-assert: 4.0ms (1% of total)

adjust: 3.0ms (0.7% of total)

Bogosity

explain130.0ms (3.1%)

Memory

-5.2MiB live, 191.4MiB allocated; 50ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
62	-	2	(3.631991653664125e-250 -7.175283071959897e-62)	`(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
0	-	0	-	`(*.f64 x #s(literal 2 binary64))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`y`
0	-	0	-	`(+.f64 x y)`
0	-	0	-	`(.f64 (.f64 x #s(literal 2 binary64)) y)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`	n/o	33	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	overflow	33
`/.f64`	`(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`	n/u	27	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	underflow	27

Confusion

	Predicted +	Predicted -
+	60	2
-	0	194

Precision

1.0

Recall

0.967741935483871

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	60	0	2
-	0	0	194

Precision?

1.0

Recall?

0.967741935483871

Freqs

test

number	freq
0	196
1	60

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

31.0ms

512×

valid

Compiler

Compiled 59 to 25 computations (57.6% saved)

Precisions

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

ival-mult: 7.0ms (50.1% of total)

ival-div: 3.0ms (21.5% of total)

ival-add: 3.0ms (21.5% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

preprocess72.0ms (1.7%)

Memory

24.2MiB live, 120.5MiB allocated; 12ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	53
1	62	49
2	239	35
3	836	35
4	1766	35
5	1905	35
6	1957	35
7	2105	35
8	2669	35
9	2893	35
10	2893	35
11	2893	35
0	7	9
0	11	9
1	23	9
2	56	7
3	117	7
4	178	7
5	191	7
6	215	7
7	337	7
8	834	7
9	1264	7
10	1441	7
11	1603	7
12	1811	7
13	1811	7
0	1811	7

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

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))

Symmetry

(sort x y)

Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.6%	(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify32.0ms (0.8%)

Memory

-33.7MiB live, 58.4MiB allocated; 4ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	7	23
0	11	23
1	23	23
2	56	21
3	117	21
4	178	21
5	191	21
6	215	21
7	337	21
8	834	21
9	1264	21
10	1441	21
11	1603	21
12	1811	21
13	1811	21
0	1811	21

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize21.0ms (0.5%)

Memory

-4.6MiB live, 40.7MiB allocated; 6ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 x y)
accuracy	0.0	(.f64 (.f64 x #s(literal 2 binary64)) y)
accuracy	0.0	(*.f64 x #s(literal 2 binary64))
accuracy	14.334135563110173	(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Samples

13.0ms

256×

valid

Compiler

Compiled 25 to 9 computations (64% saved)

Precisions

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

ival-mult: 3.0ms (45.9% of total)

ival-div: 2.0ms (30.6% of total)

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

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series10.0ms (0.2%)

Memory

20.6MiB live, 20.6MiB allocated; 0ms collecting garbage

Counts

4 → 14

Calls

Call 1

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

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

Calls

6 calls:

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

simplify100.0ms (2.4%)

Memory

-19.0MiB live, 124.1MiB allocated; 18ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	37	58
1	107	58
2	217	58
3	577	52
4	1585	52
5	2905	52
6	5524	52
7	7946	52
0	8011	52

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 12

Calls

Call 1

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

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

rewrite248.0ms (6%)

Memory

18.1MiB live, 179.5MiB allocated; 144ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	7	20
0	11	20
1	39	20
2	227	18
3	2529	18
0	8312	18

Stop Event

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

Counts

4 → 455

Calls

Call 1

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

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

eval51.0ms (1.2%)

Memory: 19.0MiB live, 106.4MiB allocated; 16ms collecting garbage
Compiler: Compiled 10 941 to 1 329 computations (87.9% saved)

prune35.0ms (0.8%)

Memory

-28.8MiB live, 30.9MiB allocated; 12ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	455	6	461
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	456	6	462

Accuracy

100.0%

Counts

462 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	88.5%	(/.f64 (/.f64 (+.f64 y x) y) (*.f64 #s(literal 2 binary64) x))
▶	77.6%	(/.f64 (+.f64 x y) (*.f64 (+.f64 x x) y))
▶	100.0%	(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
	99.9%	(*.f64 (/.f64 (+.f64 y x) (-.f64 x y)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)))
▶	50.4%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
▶	51.7%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 132 to 98 computations (25.8% saved)

simplify63.0ms (1.5%)

Memory

-11.4MiB live, 33.9MiB allocated; 6ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 #s(literal 2 binary64) x)
cost-diff	0	(+.f64 y x)
cost-diff	0	(/.f64 (+.f64 y x) y)
cost-diff	2	(/.f64 (/.f64 (+.f64 y x) y) (*.f64 #s(literal 2 binary64) x))
cost-diff	0	(+.f64 x x)
cost-diff	0	(*.f64 (+.f64 x x) y)
cost-diff	0	(+.f64 x y)
cost-diff	2	(/.f64 (+.f64 x y) (*.f64 (+.f64 x x) 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	21	97
0	32	93
1	61	93
2	102	89
3	167	89
4	217	89
5	241	89
6	363	89
7	870	89
8	1291	89
9	1468	89
10	1630	89
11	1830	89
12	1830	89
0	1830	89

Stop Event

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

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

localize74.0ms (1.8%)

Memory

-10.1MiB live, 133.6MiB allocated; 25ms collecting garbage

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 y x)
accuracy	0.0	(*.f64 #s(literal 2 binary64) x)
accuracy	0.01953125	(/.f64 (+.f64 y x) y)
accuracy	7.336618928296444	(/.f64 (/.f64 (+.f64 y x) y) (*.f64 #s(literal 2 binary64) x))
accuracy	0.0	(+.f64 x y)
accuracy	0.0	(+.f64 x x)
accuracy	0.0	(*.f64 (+.f64 x x) y)
accuracy	14.334135563110173	(/.f64 (+.f64 x y) (*.f64 (+.f64 x x) y))
accuracy	0.0	(/.f64 #s(literal 1/2 binary64) y)
accuracy	31.719798392047128	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
accuracy	0.0	(/.f64 #s(literal 1/2 binary64) x)
accuracy	30.9131571833686	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x))
accuracy	0.0	(/.f64 #s(literal 1/2 binary64) y)
accuracy	0.0	(/.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

37.0ms

256×

valid

Compiler

Compiled 91 to 20 computations (78% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-div: 10.0ms (46.6% of total)

ival-mult: 6.0ms (28% of total)

ival-add: 5.0ms (23.3% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series9.0ms (0.2%)

Memory

20.0MiB live, 20.0MiB allocated; 0ms collecting garbage

Counts

13 → 19

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

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

Calls

6 calls:

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

simplify160.0ms (3.8%)

Memory

28.4MiB live, 303.6MiB allocated; 34ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	77
1	119	77
2	237	77
3	655	71
4	2360	71
5	5483	71
0	8272	71

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 17

Calls

Call 1

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

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

rewrite44.0ms (1%)

Memory

-7.0MiB live, 39.3MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	79
0	32	79
1	121	79
0	752	79

Stop Event

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

Counts

13 → 167

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

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

eval113.0ms (2.7%)

Memory: -40.7MiB live, 77.9MiB allocated; 25ms collecting garbage
Compiler: Compiled 1 919 to 377 computations (80.4% saved)

prune4.0ms (0.1%)

Memory

12.6MiB live, 12.6MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	131	0	131
Fresh	0	1	1
Picked	0	5	5
Done	0	0	0
Total	131	6	137

Accuracy

100.0%

Counts

137 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	88.5%	(/.f64 (/.f64 (+.f64 y x) y) (*.f64 #s(literal 2 binary64) x))
✓	77.6%	(/.f64 (+.f64 x y) (*.f64 (+.f64 x x) y))
✓	100.0%	(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
▶	99.9%	(*.f64 (/.f64 (+.f64 y x) (-.f64 x y)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)))
✓	50.4%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
✓	51.7%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 66 to 49 computations (25.8% saved)

simplify26.0ms (0.6%)

Memory

-12.9MiB live, 32.9MiB allocated; 3ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	44
0	17	44
1	24	44
2	35	44
3	60	44
4	112	44
5	186	44
6	298	44
7	413	44
8	568	44
9	629	44
10	655	44
11	676	44
0	676	44

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize30.0ms (0.7%)

Memory

30.0MiB live, 72.6MiB allocated; 5ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 y x)
accuracy	0.00390625	(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
accuracy	0.015625	(*.f64 (/.f64 (+.f64 y x) (-.f64 x y)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)))
accuracy	0.03191376953688403	(/.f64 (+.f64 y x) (-.f64 x y))

Samples

23.0ms

256×

valid

Compiler

Compiled 46 to 12 computations (73.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-div: 8.0ms (54.6% of total)

ival-sub: 3.0ms (20.5% of total)

ival-add: 2.0ms (13.7% of total)

ival-mult: 2.0ms (13.7% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series57.0ms (1.4%)

Memory

-39.2MiB live, 19.0MiB allocated; 9ms collecting garbage

Counts

5 → 42

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
47.0ms	y	@	0	((* (/ (+ y x) (- x y)) (- (/ 1/2 y) (/ 1/2 x))) (/ (+ y x) (- x y)) (+ y x) (- x y) (- (/ 1/2 y) (/ 1/2 x)))
4.0ms	y	@	-inf	((* (/ (+ y x) (- x y)) (- (/ 1/2 y) (/ 1/2 x))) (/ (+ y x) (- x y)) (+ y x) (- x y) (- (/ 1/2 y) (/ 1/2 x)))
2.0ms	y	@	inf	((* (/ (+ y x) (- x y)) (- (/ 1/2 y) (/ 1/2 x))) (/ (+ y x) (- x y)) (+ y x) (- x y) (- (/ 1/2 y) (/ 1/2 x)))
1.0ms	x	@	inf	((* (/ (+ y x) (- x y)) (- (/ 1/2 y) (/ 1/2 x))) (/ (+ y x) (- x y)) (+ y x) (- x y) (- (/ 1/2 y) (/ 1/2 x)))
1.0ms	x	@	0	((* (/ (+ y x) (- x y)) (- (/ 1/2 y) (/ 1/2 x))) (/ (+ y x) (- x y)) (+ y x) (- x y) (- (/ 1/2 y) (/ 1/2 x)))

simplify269.0ms (6.5%)

Memory

46.3MiB live, 229.2MiB allocated; 44ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	160	473
1	501	434
2	1639	376
3	7071	376
0	8016	345

Stop Event

1×	iter limit
1×	node limit

Counts

42 → 40

Calls

Call 1

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

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

rewrite247.0ms (5.9%)

Memory

-18.3MiB live, 175.8MiB allocated; 38ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	35
0	17	35
1	70	35
2	580	35
0	8022	35

Stop Event

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

Counts

5 → 447

Calls

Call 1

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

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

eval121.0ms (2.9%)

Memory: -3.3MiB live, 130.1MiB allocated; 12ms collecting garbage
Compiler: Compiled 16 349 to 1 625 computations (90.1% saved)

prune8.0ms (0.2%)

Memory

33.1MiB live, 33.1MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	475	1	476
Fresh	0	0	0
Picked	0	1	1
Done	1	4	5
Total	476	6	482

Accuracy

100.0%

Counts

482 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	77.6%	(/.f64 (+.f64 x y) (*.f64 (+.f64 x x) y))
✓	100.0%	(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
✓	99.9%	(*.f64 (/.f64 (+.f64 y x) (-.f64 x y)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)))
✓	50.4%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
✓	51.7%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x))
▶	88.2%	#s(approx (* (/ (+ y x) (- x y)) (- (/ 1/2 y) (/ 1/2 x))) (/.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y))

Compiler

Compiled 81 to 57 computations (29.6% saved)

simplify208.0ms (5%)

Memory

-28.6MiB live, 223.9MiB allocated; 21ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	14	44
0	18	44
1	34	44
2	66	44
3	134	42
4	273	42
5	651	42
6	1917	42
7	4908	42
0	8213	42

Stop Event

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

Calls

Call 1

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

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

localize74.0ms (1.8%)

Memory

-8.5MiB live, 84.4MiB allocated; 4ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 y x)
accuracy	0.0	#s(approx (* (/ (+ y x) (- x y)) (- (/ 1/2 y) (/ 1/2 x))) (/.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y))
accuracy	0.00390625	(fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
accuracy	7.537371678848359	(/.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y)

Samples

66.0ms

256×

valid

Compiler

Compiled 39 to 16 computations (59% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

ival-div: 50.0ms (85.4% of total)

ival-add: 3.0ms (5.1% of total)

ival-mult: 3.0ms (5.1% of total)

ival-sub: 2.0ms (3.4% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series8.0ms (0.2%)

Memory

13.4MiB live, 13.4MiB allocated; 0ms collecting garbage

Counts

4 → 11

Calls

Call 1

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

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

Calls

6 calls:

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

simplify124.0ms (3%)

Memory

-6.7MiB live, 169.3MiB allocated; 37ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	63
1	69	63
2	164	57
3	422	57
4	1314	57
5	5505	57
0	8646	54

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 11

Calls

Call 1

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

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

rewrite176.0ms (4.2%)

Memory

25.7MiB live, 265.2MiB allocated; 63ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	41
0	18	41
1	96	41
2	786	41
0	8712	41

Stop Event

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

Counts

4 → 100

Calls

Call 1

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

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

eval68.0ms (1.6%)

Memory: -19.5MiB live, 86.0MiB allocated; 34ms collecting garbage
Compiler: Compiled 4 256 to 468 computations (89% saved)

prune5.0ms (0.1%)

Memory

17.3MiB live, 17.3MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	107	6	113

Accuracy

100.0%

Counts

113 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	77.6%	(/.f64 (+.f64 x y) (*.f64 (+.f64 x x) y))
✓	100.0%	(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
✓	99.9%	(*.f64 (/.f64 (+.f64 y x) (-.f64 x y)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)))
✓	50.4%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
✓	51.7%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x))
✓	88.2%	#s(approx (* (/ (+ y x) (- x y)) (- (/ 1/2 y) (/ 1/2 x))) (/.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y))

Compiler

Compiled 180 to 98 computations (45.6% saved)

regimes38.0ms (0.9%)

Memory

-17.2MiB live, 28.1MiB allocated; 2ms collecting garbage

Counts

8 → 1

Calls

Call 1

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

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

Calls

3 calls:

31.0ms	y
3.0ms	x
3.0ms	(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Results

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

Compiler

Compiled 11 to 11 computations (0% saved)

regimes6.0ms (0.2%)

Memory

23.5MiB live, 23.5MiB allocated; 0ms collecting garbage

Counts

4 → 3

Calls

Call 1

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
89.7%	5	`(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
92.3%	3	`x`
90.9%	3	`y`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes35.0ms (0.9%)

Memory

-24.5MiB live, 15.0MiB allocated; 12ms collecting garbage

Counts

2 → 2

Calls

Call 1

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

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

Calls

2 calls:

34.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
85.2%	2	`y`
84.2%	2	`x`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes3.0ms (0.1%)

Memory

16.3MiB live, 16.2MiB allocated; 0ms collecting garbage

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

Results

Accuracy	Segments	Branch
51.7%	1	`x`
51.7%	1	`(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
51.7%	1	`y`

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch45.0ms (1.1%)

Memory

-1.2MiB live, 95.6MiB allocated; 27ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	-7.842520961846684e-216	-7.143545700220928e-219
23.0ms	-1.1367952806530271e+147	-5.84973356902765e+142

Samples

32.0ms

256×

valid

Compiler

Compiled 364 to 300 computations (17.6% saved)

Precisions

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

ival-mult: 3.0ms (43.4% of total)

ival-div: 2.0ms (28.9% of total)

ival-add: 1.0ms (14.5% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

bsearch14.0ms (0.3%)

Memory

-2.5MiB live, 43.9MiB allocated; 3ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.6189998199508556e-106	8.717969001034808e-102

Samples

6.0ms

128×

valid

Compiler

Compiled 220 to 188 computations (14.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 2.0ms (57.4% of total)

ival-div: 1.0ms (28.7% of total)

ival-add: 1.0ms (28.7% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

simplify53.0ms (1.3%)

Memory

-11.5MiB live, 87.2MiB allocated; 16ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	93
1	38	93
2	71	93
3	135	93
4	239	93
5	376	93
6	896	93
7	6574	93

Stop Event

1×	node limit

Calls

Call 1

Inputs
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(if (<=.f64 x #s(literal -32000000000000000759853835476835371437077053690517829999150879637447597745344658322181684102914665412139071012282883714425389221436482610349998080 binary64)) #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 x #s(literal -6054820559972765/776259046150354467574489744231251277628443008558348305569526019013025476343188443165439204414323238975243865348565536603085790022057407195722143637520590569602227488010424952775132642815799222412631499596858234375446423426908028928 binary64)) (/.f64 (+.f64 x y) (.f64 (+.f64 x x) y)) #s(approx (/ (+ x y) ( (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x))))
(if (<=.f64 y #s(literal 5358672842709649/630432099142311667396464641602297820881275828327447146687172694467931548343955369782628260078158650252906047844909056 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 x #s(literal -32000000000000000759853835476835371437077053690517829999150879637447597745344658322181684102914665412139071012282883714425389221436482610349998080 binary64)) #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 x #s(literal -6054820559972765/776259046150354467574489744231251277628443008558348305569526019013025476343188443165439204414323238975243865348565536603085790022057407195722143637520590569602227488010424952775132642815799222412631499596858234375446423426908028928 binary64)) (/.f64 (+.f64 x y) (.f64 (+.f64 x x) y)) #s(approx (/ (+ x y) ( (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x))))
(if (<=.f64 y #s(literal 5358672842709649/630432099142311667396464641602297820881275828327447146687172694467931548343955369782628260078158650252906047844909056 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))

derivations256.0ms (6.2%)

Memory

17.8MiB live, 248.0MiB allocated; 34ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	58
1	107	58
2	217	58
3	577	52
4	1585	52
5	2905	52
6	5524	52
7	7946	52
0	8011	52
0	7	20
0	11	20
1	39	20
2	227	18
3	2529	18
0	8312	18

Stop Event

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

Compiler

Compiled 93 to 26 computations (72% saved)

preprocess33.0ms (0.8%)

Memory: 27.5MiB live, 71.9MiB allocated; 6ms collecting garbage
Remove: (sort x y)
Compiler: Compiled 232 to 90 computations (61.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Iter	Nodes	Cost
0	10	44
0	17	44
1	24	44
2	35	44
3	60	44
4	112	44
5	186	44
6	298	44
7	413	44
8	568	44
9	629	44
10	655	44
11	676	44
0	676	44

Iter	Nodes	Cost
0	10	44
0	17	44
1	24	44
2	35	44
3	60	44
4	112	44
5	186	44
6	298	44
7	413	44
8	568	44
9	629	44
10	655	44
11	676	44
0	676	44

start0.0ms (0%)

analyze57.0ms (1.4%)

sample1.0s (24.9%)

explain130.0ms (3.1%)

preprocess72.0ms (1.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify32.0ms (0.8%)

localize21.0ms (0.5%)

series10.0ms (0.2%)

simplify100.0ms (2.4%)

rewrite248.0ms (6%)

eval51.0ms (1.2%)

prune35.0ms (0.8%)

simplify63.0ms (1.5%)

localize74.0ms (1.8%)

series9.0ms (0.2%)

simplify160.0ms (3.8%)

rewrite44.0ms (1%)

eval113.0ms (2.7%)

prune4.0ms (0.1%)

simplify26.0ms (0.6%)

localize30.0ms (0.7%)

series57.0ms (1.4%)

simplify269.0ms (6.5%)

rewrite247.0ms (5.9%)

eval121.0ms (2.9%)

prune8.0ms (0.2%)

simplify208.0ms (5%)

localize74.0ms (1.8%)

series8.0ms (0.2%)

simplify124.0ms (3%)

rewrite176.0ms (4.2%)

eval68.0ms (1.6%)

prune5.0ms (0.1%)

regimes38.0ms (0.9%)

regimes6.0ms (0.2%)

regimes35.0ms (0.9%)

regimes3.0ms (0.1%)

bsearch45.0ms (1.1%)

bsearch14.0ms (0.3%)

simplify53.0ms (1.3%)

derivations256.0ms (6.2%)

preprocess33.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	10	44
0	17	44
1	24	44
2	35	44
3	60	44
4	112	44
5	186	44
6	298	44
7	413	44
8	568	44
9	629	44
10	655	44
11	676	44
0	676	44