Metrics for Statistics.Sample:$skurtosis from math-functions-0.1.5.2

start0.0ms (0%)

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

analyze17.0ms (1.3%)

Memory

-14.4MiB live, 30.5MiB allocated; 7ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
75%	74.9%	25%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	7
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	8
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	9
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	10
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	11
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	12

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample776.0ms (61.2%)

Memory

13.8MiB live, 1 067.4MiB allocated; 321ms collecting garbage

Samples

462.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 172.0ms

ival-mult!: 80.0ms (46.6% of total)

ival-div!: 71.0ms (41.4% of total)

ival-sub!: 19.0ms (11.1% of total)

adjust: 1.0ms (0.6% of total)

Bogosity

preprocess52.0ms (4.1%)

Memory

-28.8MiB live, 72.4MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	44
1	70	43
2	243	42
3	546	42
4	1590	42

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.0%	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))

Symmetry

(abs y)

Compiler

Compiled 12 to 12 computations (0% saved)

series6.0ms (0.5%)

Memory

19.1MiB live, 19.1MiB allocated; 0ms collecting garbage

Counts

6 → 9

Calls

Call 1

Inputs
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
(/.f64 x (*.f64 y y))
x
(*.f64 y y)
y
#s(literal 3 binary64)

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

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((- (/ x (* y y)) 3) (/ x (* y y)) x (* y y) y 3)
1.0ms	x	@	inf	((- (/ x (* y y)) 3) (/ x (* y y)) x (* y y) y 3)
1.0ms	x	@	0	((- (/ x (* y y)) 3) (/ x (* y y)) x (* y y) y 3)
1.0ms	y	@	inf	((- (/ x (* y y)) 3) (/ x (* y y)) x (* y y) y 3)
1.0ms	y	@	-inf	((- (/ x (* y y)) 3) (/ x (* y y)) x (* y y) y 3)

rewrite65.0ms (5.1%)

Memory

12.2MiB live, 103.7MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	129
0	39	119
1	180	119
0	1299	111
1	3930	111

Stop Event

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

Counts

15 → 54

Calls

Call 1

Inputs
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
(/.f64 x (*.f64 y y))
x
(*.f64 y y)
y
#s(literal 3 binary64)
#s(approx (- (/ x (* y y)) 3) #s(hole binary64 -3))
#s(approx (- (/ x (* y y)) 3) #s(hole binary64 (- (/ x (pow y 2)) 3)))
#s(approx (/ x (* y y)) #s(hole binary64 (/ x (pow y 2))))
#s(approx x #s(hole binary64 x))
#s(approx (- (/ x (* y y)) 3) #s(hole binary64 (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))))
#s(approx (- (/ x (* y y)) 3) #s(hole binary64 (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))))
#s(approx (- (/ x (* y y)) 3) #s(hole binary64 (/ (+ x (* -3 (pow y 2))) (pow y 2))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx y #s(hole binary64 y))

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

eval4.0ms (0.4%)

Memory: 15.2MiB live, 15.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 231 to 139 computations (39.8% saved)

prune15.0ms (1.2%)

Memory

-30.6MiB live, 18.8MiB allocated; 11ms collecting garbage

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	44	3	47
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	44	4	48

Accuracy

100.0%

Counts

48 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64))
▶	99.9%	(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
✓	97.0%	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
▶	55.9%	#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))

Compiler

Compiled 27 to 27 computations (0% saved)

series7.0ms (0.5%)

Memory

20.3MiB live, 20.3MiB allocated; 0ms collecting garbage

Counts

11 → 10

Calls

Call 1

Inputs
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
#s(literal -3 binary64)
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
(/.f64 (/.f64 x y) y)
(/.f64 x y)
x
y
#s(literal 3 binary64)
(fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)

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

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	((- (/ x (* y y)) 3) -3 (- (/ (/ x y) y) 3) (/ (/ x y) y) (/ x y) x y 3 (+ (* (/ x y) (/ 1 y)) -3) (/ 1 y) 1)
1.0ms	x	@	-inf	((- (/ x (* y y)) 3) -3 (- (/ (/ x y) y) 3) (/ (/ x y) y) (/ x y) x y 3 (+ (* (/ x y) (/ 1 y)) -3) (/ 1 y) 1)
1.0ms	y	@	-inf	((- (/ x (* y y)) 3) -3 (- (/ (/ x y) y) 3) (/ (/ x y) y) (/ x y) x y 3 (+ (* (/ x y) (/ 1 y)) -3) (/ 1 y) 1)
1.0ms	x	@	0	((- (/ x (* y y)) 3) -3 (- (/ (/ x y) y) 3) (/ (/ x y) y) (/ x y) x y 3 (+ (* (/ x y) (/ 1 y)) -3) (/ 1 y) 1)
1.0ms	y	@	inf	((- (/ x (* y y)) 3) -3 (- (/ (/ x y) y) 3) (/ (/ x y) y) (/ x y) x y 3 (+ (* (/ x y) (/ 1 y)) -3) (/ 1 y) 1)

rewrite70.0ms (5.5%)

Memory

3.9MiB live, 95.2MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	158
0	48	147
1	238	147
0	1723	137
1	4968	137

Stop Event

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

Counts

21 → 102

Calls

Call 1

Inputs
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
#s(literal -3 binary64)
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
(/.f64 (/.f64 x y) y)
(/.f64 x y)
x
y
#s(literal 3 binary64)
(fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
#s(approx (- (/ x (* y y)) 3) #s(hole binary64 -3))
#s(approx (- (/ x (* y y)) 3) #s(hole binary64 (- (/ x (pow y 2)) 3)))
#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 (- (/ x (* y y)) 3) #s(hole binary64 (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))))
#s(approx (- (/ x (* y y)) 3) #s(hole binary64 (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))))
#s(approx (- (/ x (* y y)) 3) #s(hole binary64 (/ (+ x (* -3 (pow y 2))) (pow y 2))))
#s(approx y #s(hole binary64 y))
#s(approx (/ 1 y) #s(hole binary64 (/ 1 y)))

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

eval11.0ms (0.9%)

Memory: -18.5MiB live, 27.3MiB allocated; 4ms collecting garbage
Compiler: Compiled 405 to 222 computations (45.2% saved)

prune3.0ms (0.2%)

Memory

8.9MiB live, 8.9MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	85	1	86
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	85	5	90

Accuracy

100.0%

Counts

90 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64))
✓	99.9%	(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
▶	99.9%	(-.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y) #s(literal 3 binary64))
✓	97.0%	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
✓	55.9%	#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))

Compiler

Compiled 35 to 35 computations (0% saved)

series5.0ms (0.4%)

Memory

13.9MiB live, 13.9MiB allocated; 0ms collecting garbage

Counts

8 → 10

Calls

Call 1

Inputs
(-.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y) #s(literal 3 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y)
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
x
#s(literal 3 binary64)

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

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((- (/ (* (/ 1 y) x) y) 3) (/ (* (/ 1 y) x) y) (* (/ 1 y) x) (/ 1 y) 1 y x 3)
1.0ms	x	@	inf	((- (/ (* (/ 1 y) x) y) 3) (/ (* (/ 1 y) x) y) (* (/ 1 y) x) (/ 1 y) 1 y x 3)
1.0ms	y	@	-inf	((- (/ (* (/ 1 y) x) y) 3) (/ (* (/ 1 y) x) y) (* (/ 1 y) x) (/ 1 y) 1 y x 3)
1.0ms	y	@	0	((- (/ (* (/ 1 y) x) y) 3) (/ (* (/ 1 y) x) y) (* (/ 1 y) x) (/ 1 y) 1 y x 3)
1.0ms	x	@	0	((- (/ (* (/ 1 y) x) y) 3) (/ (* (/ 1 y) x) y) (* (/ 1 y) x) (/ 1 y) 1 y x 3)

rewrite68.0ms (5.4%)

Memory

-2.6MiB live, 95.6MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	160
0	46	130
1	195	130
0	1565	122
1	4473	122

Stop Event

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

Counts

18 → 75

Calls

Call 1

Inputs
(-.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y) #s(literal 3 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y)
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
x
#s(literal 3 binary64)
#s(approx (- (/ (* (/ 1 y) x) y) 3) #s(hole binary64 -3))
#s(approx (- (/ (* (/ 1 y) x) y) 3) #s(hole binary64 (- (/ x (pow y 2)) 3)))
#s(approx (/ (* (/ 1 y) x) y) #s(hole binary64 (/ x (pow y 2))))
#s(approx (* (/ 1 y) x) #s(hole binary64 (/ x y)))
#s(approx x #s(hole binary64 x))
#s(approx (- (/ (* (/ 1 y) x) y) 3) #s(hole binary64 (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))))
#s(approx (- (/ (* (/ 1 y) x) y) 3) #s(hole binary64 (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))))
#s(approx (- (/ (* (/ 1 y) x) y) 3) #s(hole binary64 (/ (+ x (* -3 (pow y 2))) (pow y 2))))
#s(approx (/ 1 y) #s(hole binary64 (/ 1 y)))
#s(approx y #s(hole binary64 y))

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

eval7.0ms (0.6%)

Memory: -25.1MiB live, 21.1MiB allocated; 3ms collecting garbage
Compiler: Compiled 329 to 197 computations (40.1% saved)

prune3.0ms (0.2%)

Memory

9.0MiB live, 9.0MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	63	0	63
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	63	5	68

Accuracy

100.0%

Counts

68 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64))
✓	99.9%	(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
✓	99.9%	(-.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y) #s(literal 3 binary64))
✓	97.0%	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
✓	55.9%	#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))

Compiler

Compiled 58 to 56 computations (3.4% saved)

regimes12.0ms (0.9%)

Memory

-11.7MiB live, 33.8MiB allocated; 3ms collecting garbage

Counts

5 → 1

Calls

Call 1

Inputs
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
(fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64))
(-.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y) #s(literal 3 binary64))

Outputs
(fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64))

Calls

5 calls:

4.0ms	(*.f64 y y)
2.0ms	y
2.0ms	x
2.0ms	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
2.0ms	(/.f64 x (*.f64 y y))

Results

Accuracy	Segments	Branch
99.9%	1	`(*.f64 y y)`
99.9%	1	`(/.f64 x (*.f64 y y))`
99.9%	1	`(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))`
99.9%	1	`x`
99.9%	1	`y`

Compiler

Compiled 14 to 17 computations (-21.4% saved)

regimes7.0ms (0.6%)

Memory

26.7MiB live, 26.7MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))

Outputs
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))

Calls

5 calls:

2.0ms	x
2.0ms	y
1.0ms	(*.f64 y y)
1.0ms	(/.f64 x (*.f64 y y))
1.0ms	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))

Results

Accuracy	Segments	Branch
99.9%	1	`(*.f64 y y)`
99.9%	1	`(/.f64 x (*.f64 y y))`
99.9%	1	`(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))`
99.9%	1	`x`
99.9%	1	`y`

Compiler

Compiled 14 to 17 computations (-21.4% saved)

regimes18.0ms (1.4%)

Memory

-36.5MiB live, 26.5MiB allocated; 17ms collecting garbage

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))

Outputs
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))

Calls

5 calls:

13.0ms	(*.f64 y y)
1.0ms	x
1.0ms	y
1.0ms	(/.f64 x (*.f64 y y))
1.0ms	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))

Results

Accuracy	Segments	Branch
97.0%	1	`(*.f64 y y)`
97.0%	1	`(/.f64 x (*.f64 y y))`
97.0%	1	`(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))`
97.0%	1	`x`
97.0%	1	`y`

Compiler

Compiled 14 to 17 computations (-21.4% saved)

regimes5.0ms (0.4%)

Memory

14.7MiB live, 14.7MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))

Outputs
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))

Calls

5 calls:

1.0ms	x
1.0ms	y
1.0ms	(*.f64 y y)
1.0ms	(/.f64 x (*.f64 y y))
1.0ms	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))

Results

Accuracy	Segments	Branch
55.9%	1	`(*.f64 y y)`
55.9%	1	`(/.f64 x (*.f64 y y))`
55.9%	1	`(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))`
55.9%	1	`y`
55.9%	1	`x`

Compiler

Compiled 14 to 17 computations (-21.4% saved)

derivations18.0ms (1.4%)

Memory

-21.3MiB live, 26.2MiB allocated; 1ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 19 to 18 computations (5.3% saved)

preprocess98.0ms (7.7%)

Memory: 39.0MiB live, 85.6MiB allocated; 3ms collecting garbage
Remove: (abs y)
Compiler: Compiled 79 to 78 computations (1.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze17.0ms (1.3%)

sample776.0ms (61.2%)

preprocess52.0ms (4.1%)

series6.0ms (0.5%)

rewrite65.0ms (5.1%)

eval4.0ms (0.4%)

prune15.0ms (1.2%)

series7.0ms (0.5%)

rewrite70.0ms (5.5%)

eval11.0ms (0.9%)

prune3.0ms (0.2%)

series5.0ms (0.4%)

rewrite68.0ms (5.4%)

eval7.0ms (0.6%)

prune3.0ms (0.2%)

regimes12.0ms (0.9%)

regimes7.0ms (0.6%)

regimes18.0ms (1.4%)

regimes5.0ms (0.4%)

derivations18.0ms (1.4%)

preprocess98.0ms (7.7%)

end0.0ms (0%)

Profiling