Metrics for Data.Random.Distribution.Normal:normalF from random-fu-0.2.6.2

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB 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 8 to 7 computations (12.5% saved)

sample762.0ms (69.5%)

Memory

13.3MiB live, 1 048.3MiB allocated; 260ms collecting garbage

Samples

505.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 248.0ms

ival-mult!: 137.0ms (55.2% of total)

ival-exp: 109.0ms (43.9% of total)

adjust: 2.0ms (0.8% of total)

Bogosity

explain54.0ms (4.9%)

Memory

28.8MiB live, 122.6MiB allocated; 5ms collecting garbage

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(exp.f64 (.f64 (.f64 x y) y))`
-	-	`y`
-	-	`(.f64 (.f64 x y) y)`
-	-	`(*.f64 x y)`
-	-	`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 42 to 19 computations (54.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult!: 5.0ms (54.3% of total)

ival-exp: 4.0ms (43.5% of total)

adjust: 0.0ms (0% of total)

preprocess23.0ms (2.1%)

Memory

-37.3MiB live, 13.8MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	42
1	59	40
2	162	40
3	407	40
4	1400	40

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(exp.f64 (.f64 (.f64 x y) y))

Symmetry

(abs y)

Compiler

Compiled 12 to 10 computations (16.7% saved)

series7.0ms (0.7%)

Memory

17.8MiB live, 17.8MiB allocated; 0ms collecting garbage

Counts

5 → 11

Calls

Call 1

Inputs
(exp.f64 (.f64 (.f64 x y) y))
(.f64 (.f64 x y) y)
(*.f64 x y)
x
y

Outputs
#s(approx (exp (* (* x y) y)) #s(hole binary64 1))
#s(approx (exp (* (* x y) y)) #s(hole binary64 (+ 1 (* x (pow y 2)))))
#s(approx (exp (* (* x y) y)) #s(hole binary64 (+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2))))))
#s(approx (exp (* (* x y) y)) #s(hole binary64 (+ 1 (* x (+ (* x (+ (* 1/6 (* x (pow y 6))) (* 1/2 (pow y 4)))) (pow y 2))))))
#s(approx (* (* x y) y) #s(hole binary64 (* x (pow y 2))))
#s(approx (* x y) #s(hole binary64 (* x y)))
#s(approx x #s(hole binary64 x))
#s(approx (exp (* (* x y) y)) #s(hole binary64 (exp (* x (pow y 2)))))
#s(approx (exp (* (* x y) y)) #s(hole binary64 (+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow x 2) (pow y 2))))))))
#s(approx (exp (* (* x y) y)) #s(hole binary64 (+ 1 (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2)))))))))
#s(approx y #s(hole binary64 y))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	((exp (* (* x y) y)) (* (* x y) y) (* x y) x y)
1.0ms	x	@	0	((exp (* (* x y) y)) (* (* x y) y) (* x y) x y)
1.0ms	x	@	inf	((exp (* (* x y) y)) (* (* x y) y) (* x y) x y)
1.0ms	x	@	-inf	((exp (* (* x y) y)) (* (* x y) y) (* x y) x y)
1.0ms	y	@	-inf	((exp (* (* x y) y)) (* (* x y) y) (* x y) x y)

rewrite89.0ms (8.1%)

Memory

25.4MiB live, 119.0MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	185
0	63	183
1	324	181
0	2830	170

Stop Event

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

Counts

16 → 39

Calls

Call 1

Inputs
(exp.f64 (.f64 (.f64 x y) y))
(.f64 (.f64 x y) y)
(*.f64 x y)
x
y
#s(approx (exp (* (* x y) y)) #s(hole binary64 1))
#s(approx (exp (* (* x y) y)) #s(hole binary64 (+ 1 (* x (pow y 2)))))
#s(approx (exp (* (* x y) y)) #s(hole binary64 (+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2))))))
#s(approx (exp (* (* x y) y)) #s(hole binary64 (+ 1 (* x (+ (* x (+ (* 1/6 (* x (pow y 6))) (* 1/2 (pow y 4)))) (pow y 2))))))
#s(approx (* (* x y) y) #s(hole binary64 (* x (pow y 2))))
#s(approx (* x y) #s(hole binary64 (* x y)))
#s(approx x #s(hole binary64 x))
#s(approx (exp (* (* x y) y)) #s(hole binary64 (exp (* x (pow y 2)))))
#s(approx (exp (* (* x y) y)) #s(hole binary64 (+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow x 2) (pow y 2))))))))
#s(approx (exp (* (* x y) y)) #s(hole binary64 (+ 1 (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2)))))))))
#s(approx y #s(hole binary64 y))

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

eval5.0ms (0.4%)

Memory: -38.4MiB live, 8.5MiB allocated; 2ms collecting garbage
Compiler: Compiled 449 to 115 computations (74.4% saved)

prune1.0ms (0.1%)

Memory

3.6MiB live, 3.6MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	35	1	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	35	2	37

Accuracy

100.0%

Counts

37 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(exp.f64 (.f64 (.f64 x y) y))
▶	53.2%	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))

Compiler

Compiled 14 to 12 computations (14.3% saved)

series1.0ms (0.1%)

Memory

1.3MiB live, 1.3MiB allocated; 0ms collecting garbage

Counts

2 → 7

Calls

Call 1

Inputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(literal 1 binary64)

Outputs
#s(approx (exp (* (* x y) y)) #s(hole binary64 1))
#s(approx (exp (* (* x y) y)) #s(hole binary64 (+ 1 (* x (pow y 2)))))
#s(approx (exp (* (* x y) y)) #s(hole binary64 (+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2))))))
#s(approx (exp (* (* x y) y)) #s(hole binary64 (+ 1 (* x (+ (* x (+ (* 1/6 (* x (pow y 6))) (* 1/2 (pow y 4)))) (pow y 2))))))
#s(approx (exp (* (* x y) y)) #s(hole binary64 (exp (* x (pow y 2)))))
#s(approx (exp (* (* x y) y)) #s(hole binary64 (+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow x 2) (pow y 2))))))))
#s(approx (exp (* (* x y) y)) #s(hole binary64 (+ 1 (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2)))))))))

Calls

6 calls:

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

rewrite116.0ms (10.5%)

Memory

-6.5MiB live, 138.8MiB allocated; 46ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	154
0	53	152
1	312	150
0	2817	139

Stop Event

1×	iter-limit
1×	iter-limit
1×	node-limit
1×	saturated

Counts

9 → 9

Calls

Call 1

Inputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (exp (* (* x y) y)) #s(hole binary64 1))
#s(approx (exp (* (* x y) y)) #s(hole binary64 (+ 1 (* x (pow y 2)))))
#s(approx (exp (* (* x y) y)) #s(hole binary64 (+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2))))))
#s(approx (exp (* (* x y) y)) #s(hole binary64 (+ 1 (* x (+ (* x (+ (* 1/6 (* x (pow y 6))) (* 1/2 (pow y 4)))) (pow y 2))))))
#s(approx (exp (* (* x y) y)) #s(hole binary64 (exp (* x (pow y 2)))))
#s(approx (exp (* (* x y) y)) #s(hole binary64 (+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow x 2) (pow y 2))))))))
#s(approx (exp (* (* x y) y)) #s(hole binary64 (+ 1 (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2)))))))))

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

eval1.0ms (0.1%)

Memory: 2.8MiB live, 2.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 102 to 37 computations (63.7% saved)

prune1.0ms (0.1%)

Memory

2.9MiB live, 2.9MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	5	0	5
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	5	2	7

Accuracy

100.0%

Counts

7 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(exp.f64 (.f64 (.f64 x y) y))
✓	53.2%	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))

Compiler

Compiled 28 to 22 computations (21.4% saved)

regimes5.0ms (0.4%)

Memory

15.0MiB live, 15.0MiB allocated; 0ms collecting garbage

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
(exp.f64 (.f64 (.f64 x y) y))

Outputs
(exp.f64 (.f64 (.f64 x y) y))

Calls

4 calls:

1.0ms	x
1.0ms	y
1.0ms	(.f64 (.f64 x y) y)
1.0ms	(exp.f64 (.f64 (.f64 x y) y))

Results

Accuracy	Segments	Branch
100.0%	1	`(.f64 (.f64 x y) y)`
100.0%	1	`(exp.f64 (.f64 (.f64 x y) y))`
100.0%	1	`x`
100.0%	1	`y`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes4.0ms (0.4%)

Memory

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

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))

Outputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))

Calls

4 calls:

1.0ms	y
1.0ms	x
1.0ms	(.f64 (.f64 x y) y)
1.0ms	(exp.f64 (.f64 (.f64 x y) y))

Results

Accuracy	Segments	Branch
53.2%	1	`(.f64 (.f64 x y) y)`
53.2%	1	`(exp.f64 (.f64 (.f64 x y) y))`
53.2%	1	`x`
53.2%	1	`y`

Compiler

Compiled 13 to 13 computations (0% saved)

derivations13.0ms (1.2%)

Memory

-32.5MiB live, 14.0MiB allocated; 4ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 14 to 10 computations (28.6% saved)

preprocess14.0ms (1.3%)

Memory: 42.1MiB live, 42.1MiB allocated; 0ms collecting garbage
Remove: (abs y)
Compiler: Compiled 68 to 54 computations (20.6% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample762.0ms (69.5%)

explain54.0ms (4.9%)

preprocess23.0ms (2.1%)

series7.0ms (0.7%)

rewrite89.0ms (8.1%)

eval5.0ms (0.4%)

prune1.0ms (0.1%)

series1.0ms (0.1%)

rewrite116.0ms (10.5%)

eval1.0ms (0.1%)

prune1.0ms (0.1%)

regimes5.0ms (0.4%)

regimes4.0ms (0.4%)

derivations13.0ms (1.2%)

preprocess14.0ms (1.3%)

end0.0ms (0%)

Profiling