Metrics for System.Random.MWC.Distributions:standard from mwc-random-0.13.3.2

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample577.0ms (16.4%)

Memory

15.4MiB live, 709.7MiB allocated

Samples

362.0ms	8 255×	0	valid
3.0ms	1×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 162.0ms

ival-mult: 110.0ms (67.7% of total)

ival-sub: 39.0ms (24% of total)

ival-true: 5.0ms (3.1% of total)

exact: 5.0ms (3.1% of total)

ival-assert: 3.0ms (1.8% of total)

adjust: 0.0ms (0% of total)

Bogosity

explain137.0ms (3.9%)

Memory

32.0MiB live, 71.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
1	-	-	`(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))`
0	-	-	`y`
0	-	-	`(-.f64 (*.f64 x x) y)`
0	-	-	`#s(literal 1/2 binary64)`
0	-	-	`(*.f64 x x)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`*.f64`	`(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))`	*no**	1	0

Confusion

	Predicted +	Predicted -
+	1	0
-	0	255

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	255

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

23.0ms

512×

valid

Compiler

Compiled 83 to 35 computations (57.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 7.0ms (68.8% of total)

ival-sub: 2.0ms (19.7% of total)

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

exact: 0.0ms (0% of total)

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

preprocess132.0ms (3.8%)

Memory

-26.5MiB live, 48.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	37
1	46	35
2	129	35
3	381	35
4	678	35
5	844	35
6	882	35
7	882	35
0	6	7
0	9	7
1	12	7
2	23	7
3	45	7
4	71	7
5	99	7
6	169	7
7	266	7
8	410	7
9	466	7
10	496	7
0	496	7

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs x)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify13.0ms (0.4%)

Memory

19.8MiB live, 19.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	12	18
2	23	18
3	45	18
4	71	18
5	99	18
6	169	18
7	266	18
8	410	18
9	466	18
10	496	18
0	496	18

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize16.0ms (0.4%)

Memory

9.9MiB live, 9.9MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 (*.f64 x x) y)
accuracy	0	(*.f64 x x)
accuracy	0.19989212542160995	(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))

Samples

11.0ms

256×

valid

Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions

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

ival-mult: 3.0ms (62.9% of total)

ival-sub: 1.0ms (21% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

2.2MiB live, 2.2MiB allocated

Counts

3 → 13

Calls

Call 1

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

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

Calls

6 calls:

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

simplify108.0ms (3.1%)

Memory

-14.9MiB live, 30.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	35	74
1	102	74
2	297	74
3	992	66
4	2486	66
5	4966	66
6	7132	66
0	8094	66

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 13

Calls

Call 1

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

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

rewrite160.0ms (4.5%)

Memory

12.2MiB live, 202.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	27	15
2	178	15
3	1645	15
0	8532	15

Stop Event

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

Counts

3 → 266

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 (fma.f64 (neg.f64 y) y (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (fma.f64 (neg.f64 y) y (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) (fma.f64 (neg.f64 y) y (pow.f64 x #s(literal 4 binary64)))) (-.f64 (*.f64 x x) y))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64)) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (.f64 (fma.f64 x x y) y) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 x x y) y)))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (.f64 (fma.f64 x x y) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (.f64 (fma.f64 x x y) y) (fma.f64 (fma.f64 x x y) y (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 8 binary64))))
(.f64 (.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 y y)) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x x y)))
(.f64 (.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64)))))
(.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 y y))) (/.f64 #s(literal -1 binary64) (fma.f64 x x y)))
(.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64)))))
(.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) y))))
(.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 #s(literal -1/2 binary64) y))))))
(.f64 (neg.f64 (.f64 (fma.f64 (neg.f64 y) y (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x x y)))
(.f64 (neg.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64)))))
(.f64 (.f64 (fma.f64 (neg.f64 y) y (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 x x y) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (-.f64 (*.f64 x x) y) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (neg.f64 y) y (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (fma.f64 x x y)))
(.f64 (fma.f64 (neg.f64 y) y (pow.f64 x #s(literal 4 binary64))) (.f64 (pow.f64 (fma.f64 x x y) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64)))))
(.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (.f64 (pow.f64 (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(.f64 (-.f64 (.f64 x x) y) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))
(pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 x x) y) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 (.f64 x x) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 (*.f64 x x) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 y y)) #s(literal 1/2 binary64))) (fma.f64 x x y))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64))) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64))))
(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 y y)))) (fma.f64 x x y))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))))) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 y y)))) (neg.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 #s(literal -1/2 binary64) y))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) y))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 (neg.f64 y) y (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)))) (fma.f64 x x y))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64)))) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64))))
(/.f64 (/.f64 (.f64 (fma.f64 (neg.f64 y) y (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) (fma.f64 (neg.f64 y) y (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (-.f64 (.f64 x x) y) #s(literal -1 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 y y)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 x x y)))
(/.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 y y))) (neg.f64 (fma.f64 x x y)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64)))))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (pow.f64 (-.f64 (*.f64 x x) y) #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 y y))) (-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 #s(literal -1/2 binary64) y)))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) y)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (neg.f64 y) y (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 x x y)))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (*.f64 (fma.f64 (neg.f64 y) y (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) (fma.f64 x x y))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 x x) y) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 x x y)) (.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 y y)) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64)))) (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 x x y)) (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))))))
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(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y (+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 y (.f64 x x))))) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y (+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 y (.f64 x x))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 18 binary64)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 y y (+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 y (.f64 x x))))) (/.f64 (/.f64 (pow.f64 y #s(literal 9 binary64)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 y y (+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 y (.f64 x x))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 y y (+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 y (.f64 x x))))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 y (.f64 x x))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64)))) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 18 binary64)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64)))) (/.f64 (/.f64 (pow.f64 y #s(literal 9 binary64)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x x y))) (neg.f64 (-.f64 (*.f64 x x) y)))
(-.f64 (/.f64 (*.f64 y y) (neg.f64 (fma.f64 x x y))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (fma.f64 x x y))))
(-.f64 #s(literal 0 binary64) (-.f64 y (*.f64 x x)))
(-.f64 #s(literal 0 binary64) (neg.f64 (-.f64 (*.f64 x x) y)))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x y)) (*.f64 y (/.f64 y (fma.f64 x x y))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (*.f64 x x) y)
(exp.f64 (.f64 (log.f64 (pow.f64 (-.f64 (.f64 x x) y) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) y))
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x y)) (neg.f64 (*.f64 y (/.f64 y (fma.f64 x x y)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64))))))
(+.f64 (neg.f64 y) (*.f64 x x))
(+.f64 (*.f64 x x) (neg.f64 y))
(*.f64 x x)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)) (*.f64 x x))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 0 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 0 binary64)))))
(fma.f64 x x #s(literal 0 binary64))
(-.f64 (*.f64 x x) #s(literal 0 binary64))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (*.f64 x x) #s(literal 0 binary64))

eval27.0ms (0.8%)

Memory: -11.2MiB live, 65.3MiB allocated
Compiler: Compiled 7 782 to 911 computations (88.3% saved)

prune4.0ms (0.1%)

Memory

15.3MiB live, 15.3MiB allocated

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	269	3	272
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	269	4	273

Accuracy

100.0%

Counts

273 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (.f64 #s(literal 1/2 binary64) x) x (.f64 #s(literal -1/2 binary64) y))
✓	99.7%	(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))
▶	50.4%	#s(approx (* 1/2 (- (* x x) y)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
▶	50.8%	#s(approx (* 1/2 (- (* x x) y)) (*.f64 #s(literal -1/2 binary64) y))

Compiler

Compiled 39 to 32 computations (17.9% saved)

simplify171.0ms (4.8%)

Memory

-36.8MiB live, 17.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	57
0	20	57
1	30	57
2	39	56
3	53	56
4	76	56
5	104	56
6	174	56
7	271	56
8	421	56
9	476	56
10	506	56
0	506	56

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize52.0ms (1.5%)

Memory

2.7MiB live, 40.7MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 (.f64 #s(literal 1/2 binary64) x) x (.f64 #s(literal -1/2 binary64) y))
accuracy	0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	0	(*.f64 #s(literal -1/2 binary64) y)
accuracy	0	(*.f64 x x)
accuracy	0.20379837542160995	(.f64 (.f64 x x) #s(literal 1/2 binary64))
accuracy	31.544024139659232	#s(approx (* 1/2 (- (* x x) y)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
accuracy	0	(*.f64 #s(literal -1/2 binary64) y)
accuracy	31.492828249342377	#s(approx (* 1/2 (- (* x x) y)) (*.f64 #s(literal -1/2 binary64) y))

Samples

44.0ms

256×

valid

Compiler

Compiled 107 to 29 computations (72.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 9.0ms (77.9% of total)

ival-sub: 1.0ms (8.7% of total)

ival-add: 1.0ms (8.7% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.2%)

Memory

4.1MiB live, 4.1MiB allocated

Counts

7 → 8

Calls

Call 1

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

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

Calls

6 calls:

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

simplify102.0ms (2.9%)

Memory

4.1MiB live, 74.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	23	50
1	57	50
2	156	50
3	378	46
4	1028	42
5	3362	42
6	6079	42
0	8247	42

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 8

Calls

Call 1

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

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

rewrite196.0ms (5.6%)

Memory

22.5MiB live, 227.8MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	46
0	20	46
1	57	46
2	374	45
3	3664	45
0	8684	45

Stop Event

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

Counts

7 → 184

Calls

Call 1

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

Outputs
#s(approx (* 1/2 (- (* x x) y)) (*.f64 #s(literal -1/2 binary64) y))
(*.f64 (exp.f64 (log.f64 #s(literal -1/2 binary64))) y)
(.f64 #s(literal -1 binary64) (.f64 y #s(literal 1/2 binary64)))
(*.f64 (neg.f64 y) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 y (exp.f64 (log.f64 #s(literal -1/2 binary64))))
(*.f64 y #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (neg.f64 y))
(pow.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64))
(neg.f64 (*.f64 y #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal -1/2 binary64) y)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) y)))
#s(approx (* 1/2 (- (* x x) y)) (.f64 (.f64 x #s(literal 1/2 binary64)) x))
(.f64 (exp.f64 (log.f64 #s(literal 1/2 binary64))) (.f64 x x))
(.f64 (exp.f64 (log.f64 (.f64 x #s(literal 1/2 binary64)))) x)
(.f64 (.f64 x #s(literal 1/2 binary64)) x)
(.f64 (.f64 x x) (exp.f64 (log.f64 #s(literal 1/2 binary64))))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(.f64 x (exp.f64 (log.f64 (.f64 x #s(literal 1/2 binary64)))))
(.f64 x (.f64 x #s(literal 1/2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(pow.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
(exp.f64 (*.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 1/2 binary64))))
(*.f64 x x)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 (.f64 y (-.f64 (.f64 #s(literal 1/4 binary64) y) (.f64 (.f64 x x) #s(literal -1/4 binary64)))) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/4 binary64) (fma.f64 (neg.f64 y) y (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 #s(literal -1/4 binary64) y) (.f64 x x))))
(.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 12 binary64)) (pow.f64 (.f64 y (-.f64 (.f64 #s(literal 1/4 binary64) y) (.f64 (.f64 x x) #s(literal -1/4 binary64)))) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 8 binary64)) (.f64 (.f64 y (-.f64 (.f64 #s(literal 1/4 binary64) y) (.f64 (.f64 x x) #s(literal -1/4 binary64)))) (-.f64 (.f64 y (-.f64 (.f64 #s(literal 1/4 binary64) y) (.f64 (.f64 x x) #s(literal -1/4 binary64)))) (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(.f64 (/.f64 (.f64 (fma.f64 (neg.f64 y) y (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (fma.f64 (neg.f64 y) y (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) (fma.f64 (neg.f64 y) y (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x (neg.f64 y)))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64)) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (.f64 (fma.f64 x x y) y) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 x x y) y)))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (.f64 (fma.f64 x x y) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (.f64 (fma.f64 x x y) y) (-.f64 (*.f64 (fma.f64 x x y) y) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))))
(.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (fma.f64 (neg.f64 y) y (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1/4 binary64) (fma.f64 (neg.f64 y) y (pow.f64 x #s(literal 4 binary64))))) (.f64 (fma.f64 x x (neg.f64 y)) #s(literal 1/2 binary64)))
(.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (fma.f64 (neg.f64 y) y (pow.f64 x #s(literal 4 binary64)))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 #s(literal 1/4 binary64) (fma.f64 y y (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 #s(literal -1/4 binary64) y) (.f64 x x))))
(.f64 (.f64 (fma.f64 (neg.f64 y) y (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 x x y) #s(literal -1 binary64)))
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(fma.f64 #s(literal -1 binary64) (.f64 y #s(literal 1/2 binary64)) (.f64 (*.f64 x #s(literal 1/2 binary64)) x))
(fma.f64 (neg.f64 y) #s(literal 1/2 binary64) (.f64 (.f64 x #s(literal 1/2 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 x x y))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 x x y)))))
(fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 x x y)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 x x y)))))
(fma.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) x) (/.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) x) (.f64 #s(literal 1/2 binary64) (fma.f64 x x y))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 x x y)))))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 x x y))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 x x y)))))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) x (.f64 #s(literal -1/2 binary64) y))
(fma.f64 (.f64 x x) (exp.f64 (log.f64 #s(literal 1/2 binary64))) (.f64 #s(literal -1/2 binary64) y))
(fma.f64 (.f64 x x) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 #s(literal 1/2 binary64) (fma.f64 x x y))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 x x y)))))
(fma.f64 (.f64 x x) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) y))
(fma.f64 #s(literal -1/2 binary64) y (.f64 (.f64 x #s(literal 1/2 binary64)) x))
(fma.f64 y (exp.f64 (log.f64 #s(literal -1/2 binary64))) (.f64 (.f64 x #s(literal 1/2 binary64)) x))
(fma.f64 y #s(literal -1/2 binary64) (.f64 (.f64 x #s(literal 1/2 binary64)) x))
(fma.f64 x (exp.f64 (log.f64 (.f64 x #s(literal 1/2 binary64)))) (.f64 #s(literal -1/2 binary64) y))
(fma.f64 x (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) x) (.f64 #s(literal 1/2 binary64) (fma.f64 x x y))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 x x y)))))
(fma.f64 x (.f64 x #s(literal 1/2 binary64)) (.f64 #s(literal -1/2 binary64) y))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 x x y))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 x x y)))))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 y) (.f64 (.f64 x #s(literal 1/2 binary64)) x))
(fma.f64 #s(literal 1/2 binary64) (.f64 x x) (.f64 #s(literal -1/2 binary64) y))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) y (.f64 (.f64 x x) #s(literal -1/2 binary64)))) (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1/2 binary64) y (.f64 (.f64 x x) #s(literal -1/2 binary64)))))
(-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (fma.f64 x x y))) (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 x x y))))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (fma.f64 x x (neg.f64 y)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (fma.f64 x x y))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 x x y)))))
(+.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) x) (*.f64 #s(literal -1/2 binary64) y))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 (*.f64 x #s(literal 1/2 binary64)) x))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)

eval124.0ms (3.5%)

Memory: -3.4MiB live, 34.5MiB allocated
Compiler: Compiled 4 675 to 543 computations (88.4% saved)

prune240.0ms (6.8%)

Memory

-26.2MiB live, 12.3MiB allocated

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	198	1	199
Fresh	0	0	0
Picked	2	1	3
Done	0	1	1
Total	200	3	203

Accuracy

100.0%

Counts

203 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))
▶	50.7%	#s(approx (* 1/2 (- (* x x) y)) (.f64 (.f64 x #s(literal 1/2 binary64)) x))
✓	50.8%	#s(approx (* 1/2 (- (* x x) y)) (*.f64 #s(literal -1/2 binary64) y))

Compiler

Compiled 31 to 25 computations (19.4% saved)

simplify13.0ms (0.4%)

Memory

14.7MiB live, 14.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
0	11	23
1	17	23
2	30	23
3	46	23
4	70	23
5	98	23
6	168	23
7	265	23
8	408	23
9	464	23
10	494	23
0	494	23

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize216.0ms (6.1%)

Memory

-9.0MiB live, 28.4MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(.f64 (.f64 x #s(literal 1/2 binary64)) x)
accuracy	0	(*.f64 x #s(literal 1/2 binary64))
accuracy	31.544024139659232	#s(approx (* 1/2 (- (* x x) y)) (.f64 (.f64 x #s(literal 1/2 binary64)) x))

Samples

13.0ms

256×

valid

Compiler

Compiled 42 to 20 computations (52.4% saved)

Precisions

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

ival-mult: 6.0ms (82.8% of total)

ival-sub: 1.0ms (13.8% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

6.0MiB live, 6.0MiB allocated

Counts

3 → 7

Calls

Call 1

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

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

Calls

6 calls:

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

simplify88.0ms (2.5%)

Memory

-3.4MiB live, 116.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	23	47
1	57	47
2	156	47
3	378	43
4	1028	39
5	3362	39
6	6079	39
0	8247	39

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 7

Calls

Call 1

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

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

rewrite232.0ms (6.6%)

Memory

-12.7MiB live, 155.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
0	11	21
1	32	21
2	185	21
3	1643	21
0	8576	21

Stop Event

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

Counts

3 → 7

Calls

Call 1

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

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

eval1.0ms (0%)

Memory: 1.6MiB live, 1.6MiB allocated
Compiler: Compiled 153 to 33 computations (78.4% saved)

prune3.0ms (0.1%)

Memory

3.5MiB live, 3.5MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	11	0	11
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	11	3	14

Accuracy

100.0%

Counts

14 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))
✓	50.7%	#s(approx (* 1/2 (- (* x x) y)) (.f64 (.f64 x #s(literal 1/2 binary64)) x))
✓	50.8%	#s(approx (* 1/2 (- (* x x) y)) (*.f64 #s(literal -1/2 binary64) y))

Compiler

Compiled 83 to 45 computations (45.8% saved)

regimes12.0ms (0.3%)

Memory

14.7MiB live, 14.7MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

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

Compiler

Compiled 17 to 17 computations (0% saved)

regimes11.0ms (0.3%)

Memory

13.5MiB live, 13.5MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`y`
99.7%	1	`(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))`
99.7%	1	`(-.f64 (*.f64 x x) y)`
99.7%	1	`(*.f64 x x)`

Compiler

Compiled 17 to 17 computations (0% saved)

regimes16.0ms (0.5%)

Memory

-19.6MiB live, 17.9MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

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

Calls

5 calls:

8.0ms	(-.f64 (*.f64 x x) y)
2.0ms	(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))
2.0ms	y
2.0ms	x
2.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
86.0%	2	`x`
69.3%	3	`y`
79.5%	2	`(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))`
79.5%	2	`(-.f64 (*.f64 x x) y)`
86.0%	2	`(*.f64 x x)`

Compiler

Compiled 17 to 17 computations (0% saved)

regimes7.0ms (0.2%)

Memory

14.2MiB live, 14.2MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
50.8%	1	`y`
50.8%	1	`(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))`
50.8%	1	`(-.f64 (*.f64 x x) y)`
50.8%	1	`x`
50.8%	1	`(*.f64 x x)`

Compiler

Compiled 17 to 17 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.6956952546967036e-118	8.97808908066366e-115

Compiler

Compiled 10 to 11 computations (-10% saved)

simplify27.0ms (0.8%)

Memory

-10.0MiB live, 38.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	56
1	26	56
2	31	56
3	33	56
4	34	56

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (.f64 #s(literal 1/2 binary64) x) x (.f64 #s(literal -1/2 binary64) y))
(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))
(if (<=.f64 (.f64 x x) #s(literal 4542742026847543/22713710134237715329666368996500141698551292521478689383796568724394977753543685103943470334805111423773828800195818060422956300894208 binary64)) #s(approx ( 1/2 (- (* x x) y)) (.f64 #s(literal -1/2 binary64) y)) #s(approx ( 1/2 (- (* x x) y)) (.f64 (.f64 x #s(literal 1/2 binary64)) x)))
#s(approx (* 1/2 (- (* x x) y)) (*.f64 #s(literal -1/2 binary64) y))

Outputs
(fma.f64 (.f64 #s(literal 1/2 binary64) x) x (.f64 #s(literal -1/2 binary64) y))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) x (.f64 y #s(literal -1/2 binary64)))
(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))
(.f64 (-.f64 (.f64 x x) y) #s(literal 1/2 binary64))
(if (<=.f64 (.f64 x x) #s(literal 4542742026847543/22713710134237715329666368996500141698551292521478689383796568724394977753543685103943470334805111423773828800195818060422956300894208 binary64)) #s(approx ( 1/2 (- (* x x) y)) (.f64 #s(literal -1/2 binary64) y)) #s(approx ( 1/2 (- (* x x) y)) (.f64 (.f64 x #s(literal 1/2 binary64)) x)))
(if (<=.f64 (.f64 x x) #s(literal 4542742026847543/22713710134237715329666368996500141698551292521478689383796568724394977753543685103943470334805111423773828800195818060422956300894208 binary64)) #s(approx ( 1/2 (- (* x x) y)) (.f64 y #s(literal -1/2 binary64))) #s(approx ( 1/2 (- (* x x) y)) (.f64 (.f64 x #s(literal 1/2 binary64)) x)))
#s(approx (* 1/2 (- (* x x) y)) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (* 1/2 (- (* x x) y)) (*.f64 y #s(literal -1/2 binary64)))

soundness588.0ms (16.7%)

Memory

13.3MiB live, 284.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	46
0	20	46
1	57	46
2	374	45
3	3664	45
0	8684	45
0	35	74
1	102	74
2	297	74
3	992	66
4	2486	66
5	4966	66
6	7132	66
0	8094	66
0	6	15
0	9	15
1	27	15
2	178	15
3	1645	15
0	8532	15

Stop Event

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

Compiler

Compiled 95 to 53 computations (44.2% saved)

preprocess239.0ms (6.8%)

Memory: -33.5MiB live, 50.5MiB allocated
Remove: (abs x)
Compiler: Compiled 190 to 108 computations (43.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	16	37
1	46	35
2	129	35
3	381	35
4	678	35
5	844	35
6	882	35
7	882	35
0	6	7
0	9	7
1	12	7
2	23	7
3	45	7
4	71	7
5	99	7
6	169	7
7	266	7
8	410	7
9	466	7
10	496	7
0	496	7

Iter	Nodes	Cost
0	6	18
0	9	18
1	12	18
2	23	18
3	45	18
4	71	18
5	99	18
6	169	18
7	266	18
8	410	18
9	466	18
10	496	18
0	496	18

Iter	Nodes	Cost
0	14	57
0	20	57
1	30	57
2	39	56
3	53	56
4	76	56
5	104	56
6	174	56
7	271	56
8	421	56
9	476	56
10	506	56
0	506	56

Iter	Nodes	Cost
0	9	23
0	11	23
1	17	23
2	30	23
3	46	23
4	70	23
5	98	23
6	168	23
7	265	23
8	408	23
9	464	23
10	494	23
0	494	23

Iter	Nodes	Cost
0	16	37
1	46	35
2	129	35
3	381	35
4	678	35
5	844	35
6	882	35
7	882	35
0	6	7
0	9	7
1	12	7
2	23	7
3	45	7
4	71	7
5	99	7
6	169	7
7	266	7
8	410	7
9	466	7
10	496	7
0	496	7

Iter	Nodes	Cost
0	6	18
0	9	18
1	12	18
2	23	18
3	45	18
4	71	18
5	99	18
6	169	18
7	266	18
8	410	18
9	466	18
10	496	18
0	496	18

Iter	Nodes	Cost
0	14	57
0	20	57
1	30	57
2	39	56
3	53	56
4	76	56
5	104	56
6	174	56
7	271	56
8	421	56
9	476	56
10	506	56
0	506	56

Iter	Nodes	Cost
0	9	23
0	11	23
1	17	23
2	30	23
3	46	23
4	70	23
5	98	23
6	168	23
7	265	23
8	408	23
9	464	23
10	494	23
0	494	23

start0.0ms (0%)

analyze0.0ms (0%)

sample577.0ms (16.4%)

explain137.0ms (3.9%)

preprocess132.0ms (3.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify13.0ms (0.4%)

localize16.0ms (0.4%)

series4.0ms (0.1%)

simplify108.0ms (3.1%)

rewrite160.0ms (4.5%)

eval27.0ms (0.8%)

prune4.0ms (0.1%)

simplify171.0ms (4.8%)

localize52.0ms (1.5%)

series5.0ms (0.2%)

simplify102.0ms (2.9%)

rewrite196.0ms (5.6%)

eval124.0ms (3.5%)

prune240.0ms (6.8%)

simplify13.0ms (0.4%)

localize216.0ms (6.1%)

series3.0ms (0.1%)

simplify88.0ms (2.5%)

rewrite232.0ms (6.6%)

eval1.0ms (0%)

prune3.0ms (0.1%)

regimes12.0ms (0.3%)

regimes11.0ms (0.3%)

regimes16.0ms (0.5%)

regimes7.0ms (0.2%)

bsearch0.0ms (0%)

simplify27.0ms (0.8%)

soundness588.0ms (16.7%)

preprocess239.0ms (6.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	16	37
1	46	35
2	129	35
3	381	35
4	678	35
5	844	35
6	882	35
7	882	35
0	6	7
0	9	7
1	12	7
2	23	7
3	45	7
4	71	7
5	99	7
6	169	7
7	266	7
8	410	7
9	466	7
10	496	7
0	496	7

Iter	Nodes	Cost
0	6	18
0	9	18
1	12	18
2	23	18
3	45	18
4	71	18
5	99	18
6	169	18
7	266	18
8	410	18
9	466	18
10	496	18
0	496	18

Iter	Nodes	Cost
0	14	57
0	20	57
1	30	57
2	39	56
3	53	56
4	76	56
5	104	56
6	174	56
7	271	56
8	421	56
9	476	56
10	506	56
0	506	56

Iter	Nodes	Cost
0	9	23
0	11	23
1	17	23
2	30	23
3	46	23
4	70	23
5	98	23
6	168	23
7	265	23
8	408	23
9	464	23
10	494	23
0	494	23