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

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

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)

sample977.0ms (46.2%)

Memory

5.6MiB live, 743.5MiB allocated; 989ms collecting garbage

Samples

718.0ms	8 254×	0	valid
0.0ms	1×	2	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 186.0ms

ival-mult: 126.0ms (67.7% of total)

ival-sub: 43.0ms (23.1% of total)

ival-true: 6.0ms (3.2% of total)

exact: 5.0ms (2.7% of total)

ival-assert: 3.0ms (1.6% of total)

adjust: 2.0ms (1.1% of total)

Bogosity

explain81.0ms (3.8%)

Memory

20.4MiB live, 67.3MiB allocated; 3ms collecting garbage

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

22.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

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

ival-mult: 7.0ms (69.2% of total)

ival-sub: 2.0ms (19.8% 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)

preprocess15.0ms (0.7%)

Memory

11.9MiB live, 11.9MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	37
1	41	37
2	74	37
3	101	37
4	125	37
0	6	7
0	9	7
1	14	7
2	27	7
3	46	7
4	58	7
0	58	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: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))

Compiler

Compiled 7 to 6 computations (14.3% saved)

series5.0ms (0.2%)

Memory

6.0MiB live, 6.0MiB allocated; 0ms collecting garbage

Counts

6 → 16

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
#s(approx (* 1/2 (- (* x x) y)) #s(hole binary64 (* -1/2 y)))
#s(approx (* 1/2 (- (* x x) y)) #s(hole binary64 (+ (* -1/2 y) (* 1/2 (pow x 2)))))
#s(approx (- (* x x) y) #s(hole binary64 (* -1 y)))
#s(approx (- (* x x) y) #s(hole binary64 (- (pow x 2) y)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (* 1/2 (- (* x x) y)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (* 1/2 (- (* x x) y)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/2 (/ y (pow x 2)))))))
#s(approx (- (* x x) y) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) y) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ y (pow x 2)))))))
#s(approx (- (* x x) y) #s(hole binary64 (+ (* -1 y) (pow x 2))))
#s(approx y #s(hole binary64 y))
#s(approx (* 1/2 (- (* x x) y)) #s(hole binary64 (* y (- (* 1/2 (/ (pow x 2) y)) 1/2))))
#s(approx (- (* x x) y) #s(hole binary64 (* y (- (/ (pow x 2) y) 1))))
#s(approx (* 1/2 (- (* x x) y)) #s(hole binary64 (* -1 (* y (+ 1/2 (* -1/2 (/ (pow x 2) y)))))))
#s(approx (- (* x x) y) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ (pow x 2) y)))))))

Calls

6 calls:

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

simplify321.0ms (15.2%)

Memory

-13.1MiB live, 185.5MiB allocated; 31ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	200
1	134	197
2	512	197
3	2837	197
0	8486	192

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 16

Calls

Call 1

Inputs
#s(approx (* 1/2 (- (* x x) y)) #s(hole binary64 (* -1/2 y)))
#s(approx (* 1/2 (- (* x x) y)) #s(hole binary64 (+ (* -1/2 y) (* 1/2 (pow x 2)))))
#s(approx (- (* x x) y) #s(hole binary64 (* -1 y)))
#s(approx (- (* x x) y) #s(hole binary64 (- (pow x 2) y)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (* 1/2 (- (* x x) y)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (* 1/2 (- (* x x) y)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/2 (/ y (pow x 2)))))))
#s(approx (- (* x x) y) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) y) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ y (pow x 2)))))))
#s(approx (- (* x x) y) #s(hole binary64 (+ (* -1 y) (pow x 2))))
#s(approx y #s(hole binary64 y))
#s(approx (* 1/2 (- (* x x) y)) #s(hole binary64 (* y (- (* 1/2 (/ (pow x 2) y)) 1/2))))
#s(approx (- (* x x) y) #s(hole binary64 (* y (- (/ (pow x 2) y) 1))))
#s(approx (* 1/2 (- (* x x) y)) #s(hole binary64 (* -1 (* y (+ 1/2 (* -1/2 (/ (pow x 2) y)))))))
#s(approx (- (* x x) y) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ (pow x 2) y)))))))

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

rewrite40.0ms (1.9%)

Memory

-20.9MiB live, 24.9MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	29	18
0	197	18

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

6 → 30

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

eval4.0ms (0.2%)

Memory: 9.2MiB live, 9.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 544 to 150 computations (72.4% saved)

prune2.0ms (0.1%)

Memory

4.0MiB live, 4.0MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	42	3	45
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	43	3	46

Accuracy

100.0%

Counts

46 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 #s(literal 1/2 binary64) #s(approx (- ( x x) y) (fma.f64 x x (neg.f64 y))))
▶	51.1%	(.f64 #s(literal 1/2 binary64) #s(approx (- ( x x) y) (*.f64 x x)))
▶	51.9%	#s(approx (* 1/2 (- (* x x) y)) (*.f64 #s(literal -1/2 binary64) y))

Status

Accuracy

Program

▶

100.0%

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

▶

51.1%

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

▶

51.9%

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

Compiler

Compiled 35 to 26 computations (25.7% saved)

series5.0ms (0.2%)

Memory

6.9MiB live, 6.9MiB allocated; 0ms collecting garbage

Counts

13 → 25

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

Outputs
#s(approx (* 1/2 (- (* x x) y)) #s(hole binary64 (* -1/2 y)))
#s(approx (* 1/2 (- (* x x) y)) #s(hole binary64 (+ (* -1/2 y) (* 1/2 (pow x 2)))))
#s(approx (- (* x x) y) #s(hole binary64 (* -1 y)))
#s(approx (- (* x x) y) #s(hole binary64 (- (pow x 2) y)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* x x) (neg y)) #s(hole binary64 (* -1 y)))
#s(approx (+ (* x x) (neg y)) #s(hole binary64 (- (pow x 2) y)))
#s(approx (* 1/2 (- (* x x) y)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (* 1/2 (- (* x x) y)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/2 (/ y (pow x 2)))))))
#s(approx (- (* x x) y) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) y) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ y (pow x 2)))))))
#s(approx (+ (* x x) (neg y)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) (neg y)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ y (pow x 2)))))))
#s(approx (* -1/2 y) #s(hole binary64 (* -1/2 y)))
#s(approx y #s(hole binary64 y))
#s(approx (- (* x x) y) #s(hole binary64 (+ (* -1 y) (pow x 2))))
#s(approx (+ (* x x) (neg y)) #s(hole binary64 (+ (* -1 y) (pow x 2))))
#s(approx (neg y) #s(hole binary64 (* -1 y)))
#s(approx (* 1/2 (- (* x x) y)) #s(hole binary64 (* y (- (* 1/2 (/ (pow x 2) y)) 1/2))))
#s(approx (- (* x x) y) #s(hole binary64 (* y (- (/ (pow x 2) y) 1))))
#s(approx (+ (* x x) (neg y)) #s(hole binary64 (* y (- (/ (pow x 2) y) 1))))
#s(approx (* 1/2 (- (* x x) y)) #s(hole binary64 (* -1 (* y (+ 1/2 (* -1/2 (/ (pow x 2) y)))))))
#s(approx (- (* x x) y) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ (pow x 2) y)))))))
#s(approx (+ (* x x) (neg y)) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ (pow x 2) y)))))))

Calls

6 calls:

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

simplify317.0ms (15%)

Memory

-7.8MiB live, 284.1MiB allocated; 39ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	299
1	148	295
2	525	295
3	2852	295
0	8506	288

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 25

Calls

Call 1

Inputs
#s(approx (* 1/2 (- (* x x) y)) #s(hole binary64 (* -1/2 y)))
#s(approx (* 1/2 (- (* x x) y)) #s(hole binary64 (+ (* -1/2 y) (* 1/2 (pow x 2)))))
#s(approx (- (* x x) y) #s(hole binary64 (* -1 y)))
#s(approx (- (* x x) y) #s(hole binary64 (- (pow x 2) y)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* x x) (neg y)) #s(hole binary64 (* -1 y)))
#s(approx (+ (* x x) (neg y)) #s(hole binary64 (- (pow x 2) y)))
#s(approx (* 1/2 (- (* x x) y)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (* 1/2 (- (* x x) y)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/2 (/ y (pow x 2)))))))
#s(approx (- (* x x) y) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) y) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ y (pow x 2)))))))
#s(approx (+ (* x x) (neg y)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) (neg y)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ y (pow x 2)))))))
#s(approx (* -1/2 y) #s(hole binary64 (* -1/2 y)))
#s(approx y #s(hole binary64 y))
#s(approx (- (* x x) y) #s(hole binary64 (+ (* -1 y) (pow x 2))))
#s(approx (+ (* x x) (neg y)) #s(hole binary64 (+ (* -1 y) (pow x 2))))
#s(approx (neg y) #s(hole binary64 (* -1 y)))
#s(approx (* 1/2 (- (* x x) y)) #s(hole binary64 (* y (- (* 1/2 (/ (pow x 2) y)) 1/2))))
#s(approx (- (* x x) y) #s(hole binary64 (* y (- (/ (pow x 2) y) 1))))
#s(approx (+ (* x x) (neg y)) #s(hole binary64 (* y (- (/ (pow x 2) y) 1))))
#s(approx (* 1/2 (- (* x x) y)) #s(hole binary64 (* -1 (* y (+ 1/2 (* -1/2 (/ (pow x 2) y)))))))
#s(approx (- (* x x) y) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ (pow x 2) y)))))))
#s(approx (+ (* x x) (neg y)) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ (pow x 2) y)))))))

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

rewrite34.0ms (1.6%)

Memory

10.1MiB live, 10.1MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	72
0	22	72
1	56	72
0	325	72

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

13 → 49

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

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

eval7.0ms (0.3%)

Memory: 6.7MiB live, 6.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 110 to 222 computations (80% saved)

prune38.0ms (1.8%)

Memory

-35.2MiB live, 11.6MiB allocated; 3ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	72	3	75

Accuracy

100.0%

Counts

75 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 #s(literal 1/2 binary64) #s(approx (- ( x x) y) (fma.f64 x x (neg.f64 y))))
✓	51.1%	(.f64 #s(literal 1/2 binary64) #s(approx (- ( x x) y) (*.f64 x x)))
✓	51.9%	#s(approx (* 1/2 (- (* x x) y)) (*.f64 #s(literal -1/2 binary64) y))

Status

Accuracy

Program

✓

100.0%

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

✓

51.1%

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

✓

51.9%

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

Compiler

Compiled 77 to 45 computations (41.6% saved)

regimes9.0ms (0.4%)

Memory

21.9MiB live, 21.9MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

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

Compiler

Compiled 17 to 17 computations (0% saved)

regimes10.0ms (0.5%)

Memory

-26.1MiB live, 18.4MiB allocated; 6ms collecting garbage

Counts

2 → 2

Calls

Call 1

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

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

Calls

5 calls:

5.0ms	(*.f64 x x)
1.0ms	(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))
1.0ms	y
1.0ms	(-.f64 (*.f64 x x) y)
1.0ms	x

Results

Accuracy	Segments	Branch
87.2%	2	`(*.f64 x x)`
82.7%	4	`(-.f64 (*.f64 x x) y)`
82.7%	4	`(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))`
87.2%	2	`x`
66.7%	3	`y`

Compiler

Compiled 17 to 17 computations (0% saved)

regimes5.0ms (0.3%)

Memory

15.1MiB live, 15.1MiB allocated; 0ms collecting garbage

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	(-.f64 (*.f64 x x) y)
1.0ms	x
1.0ms	y
1.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
51.9%	1	`y`
51.9%	1	`(-.f64 (*.f64 x x) y)`
51.9%	1	`(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))`
51.9%	1	`(*.f64 x x)`
51.9%	1	`x`

Compiler

Compiled 17 to 17 computations (0% saved)

bsearch3.0ms (0.1%)

Memory

6.5MiB live, 6.5MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
3.0ms	7.88125006826159e-12	9.559365964708592e-12

Samples

1.0ms

32×

valid

Compiler

Compiled 54 to 49 computations (9.3% saved)

Precisions

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

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

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

adjust: 0.0ms (0% of total)

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

exact: 0.0ms (0% of total)

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

simplify10.0ms (0.5%)

Memory

19.0MiB live, 19.0MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	50
1	29	50
2	43	50
3	62	50
4	74	50

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 x #s(literal 1470053796651389/154742504910672534362390528 binary64)) #s(approx (* 1/2 (- (* x x) y)) (*.f64 #s(literal -1/2 binary64) y)) (*.f64 #s(literal 1/2 binary64) #s(approx (- (* x x) y) (*.f64 x x))))

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

Outputs

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

(if (<=.f64 x #s(literal 1470053796651389/154742504910672534362390528 binary64)) #s(approx (* 1/2 (- (* x x) y)) (*.f64 #s(literal -1/2 binary64) y)) (*.f64 #s(literal 1/2 binary64) #s(approx (- (* x x) y) (*.f64 x x))))

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

derivations213.0ms (10.1%)

Memory

-30.9MiB live, 108.5MiB allocated; 24ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 50 to 20 computations (60% saved)

preprocess19.0ms (0.9%)

Memory: 0.3MiB live, 46.1MiB allocated; 5ms collecting garbage
Remove: (abs x)
Compiler: Compiled 140 to 70 computations (50% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample977.0ms (46.2%)

explain81.0ms (3.8%)

preprocess15.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

series5.0ms (0.2%)

simplify321.0ms (15.2%)

rewrite40.0ms (1.9%)

eval4.0ms (0.2%)

prune2.0ms (0.1%)

series5.0ms (0.2%)

simplify317.0ms (15%)

rewrite34.0ms (1.6%)

eval7.0ms (0.3%)

prune38.0ms (1.8%)

regimes9.0ms (0.4%)

regimes10.0ms (0.5%)

regimes5.0ms (0.3%)

bsearch3.0ms (0.1%)

simplify10.0ms (0.5%)

derivations213.0ms (10.1%)

preprocess19.0ms (0.9%)

end0.0ms (0%)

Profiling