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

analyze19.0ms (1.8%)

Memory

25.9MiB live, 25.9MiB 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
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)

sample501.0ms (47.3%)

Memory

10.6MiB live, 765.8MiB allocated; 124ms collecting garbage

Samples

319.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 153.0ms

ival-div!: 75.0ms (48.9% of total)

ival-mult!: 49.0ms (31.9% of total)

ival-sub!: 27.0ms (17.6% of total)

adjust: 2.0ms (1.3% of total)

Bogosity

preprocess10.0ms (1%)

Memory

-32.3MiB live, 14.1MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	46
1	40	46
2	91	46
3	147	46
4	193	46

Stop Event

1×

saturated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	93.0%	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))

Symmetry

(abs y)

Compiler

Compiled 12 to 12 computations (0% saved)

series6.0ms (0.6%)

Memory

13.2MiB live, 13.2MiB allocated; 0ms collecting garbage

Counts

6 → 10

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 (pow y 2))))
#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)

rewrite55.0ms (5.2%)

Memory

25.4MiB live, 72.1MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	142
0	40	133
1	152	133
0	1031	132

Stop Event

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

Counts

16 → 46

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 (pow y 2))))
#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
(/.f64 (neg.f64 (fma.f64 (/.f64 x (.f64 y y)) (/.f64 x (.f64 y y)) #s(literal -9 binary64))) (neg.f64 (-.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) #s(literal 27 binary64))) (neg.f64 (fma.f64 (/.f64 x (.f64 y y)) (/.f64 x (.f64 y y)) (fma.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64) #s(literal 9 binary64)))))
(/.f64 (fma.f64 (/.f64 x (.f64 y y)) (/.f64 x (.f64 y y)) #s(literal -9 binary64)) (-.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) #s(literal 27 binary64)) (fma.f64 (/.f64 x (.f64 y y)) (/.f64 x (.f64 y y)) (fma.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64) #s(literal 9 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 y y))) (-.f64 (/.f64 x (.f64 y y)) #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (-.f64 (/.f64 x (.f64 y y)) #s(literal -3 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) (fma.f64 (/.f64 x (.f64 y y)) (/.f64 x (.f64 y y)) (fma.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64) #s(literal 9 binary64)))) (/.f64 #s(literal 27 binary64) (fma.f64 (/.f64 x (.f64 y y)) (/.f64 x (.f64 y y)) (fma.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64) #s(literal 9 binary64)))))
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(/.f64 (/.f64 x (neg.f64 y)) (neg.f64 y))
(/.f64 (/.f64 x (fabs.f64 y)) (fabs.f64 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 (neg.f64 x) (*.f64 y y)))
(neg.f64 (/.f64 x (*.f64 (neg.f64 y) y)))
x
(*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)))
(*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)))
(*.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 y)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 (fabs.f64 y) (fabs.f64 y))
(*.f64 y y)
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (fabs.f64 y) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 y) y))
(fabs.f64 (*.f64 y y))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 y) #s(literal 2 binary64))))
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 x (*.f64 y y)))
#s(approx (- (/ x (* y y)) 3) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (/.f64 #s(literal 3 binary64) x)) x))
#s(approx (- (/ x (* y y)) 3) (.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 3 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 y y)))))
#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)

eval5.0ms (0.5%)

Memory: -37.2MiB live, 9.8MiB allocated; 2ms collecting garbage
Compiler: Compiled 283 to 149 computations (47.3% saved)

prune2.0ms (0.2%)

Memory

5.8MiB live, 5.8MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	38	3	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	38	4	42

Accuracy

100.0%

Counts

42 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
✓	93.0%	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
▶	45.7%	#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
▶	49.2%	#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))

Compiler

Compiled 29 to 29 computations (0% saved)

series7.0ms (0.7%)

Memory

16.6MiB live, 16.6MiB allocated; 0ms collecting garbage

Counts

11 → 18

Calls

Call 1

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

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 y) y (- (/ (/ x y) y) 3) (/ (/ x y) y) (/ x y) 3)
1.0ms	x	@	-inf	((- (/ x (* y y)) 3) -3 (- (/ x (* y y)) 3) (/ x (* y y)) x (* y y) y (- (/ (/ x y) y) 3) (/ (/ x y) y) (/ x y) 3)
1.0ms	y	@	-inf	((- (/ x (* y y)) 3) -3 (- (/ x (* y y)) 3) (/ x (* y y)) x (* y y) y (- (/ (/ x y) y) 3) (/ (/ x y) y) (/ x y) 3)
1.0ms	y	@	inf	((- (/ x (* y y)) 3) -3 (- (/ x (* y y)) 3) (/ x (* y y)) x (* y y) y (- (/ (/ x y) y) 3) (/ (/ x y) y) (/ x y) 3)
1.0ms	x	@	0	((- (/ x (* y y)) 3) -3 (- (/ x (* y y)) 3) (/ x (* y y)) x (* y y) y (- (/ (/ x y) y) 3) (/ (/ x y) y) (/ x y) 3)

rewrite49.0ms (4.6%)

Memory

19.3MiB live, 69.4MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	291
0	56	273
1	183	273
0	1104	271

Stop Event

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

Counts

29 → 74

Calls

Call 1

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

Outputs
#s(approx (- (/ (/ x y) y) 3) #s(literal -3 binary64))
#s(literal -3 binary64)
#s(approx (- (/ (/ x y) y) 3) (/.f64 x (*.f64 y y)))
(/.f64 (/.f64 x (fabs.f64 y)) (fabs.f64 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 (neg.f64 x) y) y))
(neg.f64 (/.f64 (neg.f64 x) (*.f64 y y)))
(neg.f64 (/.f64 (/.f64 x y) (neg.f64 y)))
(neg.f64 (/.f64 x (*.f64 (neg.f64 y) y)))
x
(*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)))
(*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)))
(*.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 y)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 (fabs.f64 y) (fabs.f64 y))
(*.f64 y y)
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (fabs.f64 y) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 y) y))
(fabs.f64 (*.f64 y y))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 y) #s(literal 2 binary64))))
y
(/.f64 (neg.f64 (fma.f64 (/.f64 x (.f64 y y)) (/.f64 x (.f64 y y)) #s(literal -9 binary64))) (neg.f64 (-.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) #s(literal 27 binary64))) (neg.f64 (fma.f64 (/.f64 x (.f64 y y)) (/.f64 x (.f64 y y)) (fma.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64) #s(literal 9 binary64)))))
(/.f64 (fma.f64 (/.f64 x (.f64 y y)) (/.f64 x (.f64 y y)) #s(literal -9 binary64)) (-.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) #s(literal 27 binary64)) (fma.f64 (/.f64 x (.f64 y y)) (/.f64 x (.f64 y y)) (fma.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64) #s(literal 9 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 y y))) (-.f64 (/.f64 x (.f64 y y)) #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (-.f64 (/.f64 x (.f64 y y)) #s(literal -3 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) (fma.f64 (/.f64 x (.f64 y y)) (/.f64 x (.f64 y y)) (fma.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64) #s(literal 9 binary64)))) (/.f64 #s(literal 27 binary64) (fma.f64 (/.f64 x (.f64 y y)) (/.f64 x (.f64 y y)) (fma.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64) #s(literal 9 binary64)))))
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(/.f64 (/.f64 x (fabs.f64 y)) (fabs.f64 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 (neg.f64 x) y) y))
(neg.f64 (/.f64 (neg.f64 x) (*.f64 y y)))
(neg.f64 (/.f64 (/.f64 x y) (neg.f64 y)))
(neg.f64 (/.f64 x (*.f64 (neg.f64 y) 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))
#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) #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 y) y) 3) (/.f64 x (*.f64 y y)))
#s(approx (- (/ (/ x y) y) 3) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (/.f64 #s(literal 3 binary64) x)) x))
#s(approx (- (/ (/ x y) y) 3) (/.f64 x (*.f64 y y)))
#s(approx (- (/ (/ x y) y) 3) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (/.f64 #s(literal 3 binary64) x)) x))
#s(approx (- (/ (/ x y) y) 3) (.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 3 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 y y)))))
#s(approx (- (/ (/ x y) y) 3) (.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 3 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 y y)))))
#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)
#s(approx (- (/ (/ x y) y) 3) (/.f64 (fma.f64 (.f64 y y) #s(literal -3 binary64) x) (.f64 y y)))

eval8.0ms (0.8%)

Memory: -29.5MiB live, 15.3MiB allocated; 5ms collecting garbage
Compiler: Compiled 330 to 177 computations (46.4% saved)

prune3.0ms (0.3%)

Memory

7.7MiB live, 7.7MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	49	1	50
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	49	5	54

Accuracy

100.0%

Counts

54 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
✓	93.0%	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
▶	52.6%	#s(approx (- (/ x (* y y)) 3) (/.f64 (/.f64 x y) y))
✓	45.7%	#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
✓	49.2%	#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))

Compiler

Compiled 38 to 38 computations (0% saved)

series5.0ms (0.4%)

Memory

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

Counts

5 → 10

Calls

Call 1

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

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 (pow y 2))))
#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))

Calls

6 calls:

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

rewrite53.0ms (5%)

Memory

11.0MiB live, 51.5MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	147
0	41	138
1	153	138
0	1074	137

Stop Event

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

Counts

15 → 28

Calls

Call 1

Inputs
#s(approx (- (/ x (* y y)) 3) (/.f64 (/.f64 x y) y))
(/.f64 (/.f64 x y) y)
(/.f64 x y)
x
y
#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 (pow y 2))))
#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))

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

eval2.0ms (0.2%)

Memory: 5.0MiB live, 5.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 128 to 81 computations (36.7% saved)

prune2.0ms (0.2%)

Memory

5.5MiB live, 5.5MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	21	0	21
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	21	5	26

Accuracy

100.0%

Counts

26 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
✓	93.0%	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
✓	52.6%	#s(approx (- (/ x (* y y)) 3) (/.f64 (/.f64 x y) y))
✓	45.7%	#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
✓	49.2%	#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))

Compiler

Compiled 62 to 55 computations (11.3% saved)

regimes15.0ms (1.4%)

Memory

-20.2MiB live, 25.3MiB allocated; 5ms collecting garbage

Counts

5 → 1

Calls

Call 1

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

7.0ms	y
2.0ms	x
2.0ms	(*.f64 y y)
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)

regimes9.0ms (0.8%)

Memory

22.2MiB live, 22.2MiB allocated; 0ms collecting garbage

Counts

4 → 2

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
99.9%	2	`(*.f64 y y)`
99.9%	3	`(/.f64 x (*.f64 y y))`
99.9%	3	`(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))`
93.0%	1	`x`
99.9%	2	`y`

Compiler

Compiled 14 to 17 computations (-21.4% saved)

regimes125.0ms (11.8%)

Memory

-36.3MiB live, 23.2MiB allocated; 148ms collecting garbage

Counts

3 → 3

Calls

Call 1

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

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

Calls

4 calls:

121.0ms	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
98.8%	3	`(/.f64 x (*.f64 y y))`
98.8%	3	`(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))`
89.2%	2	`(*.f64 y y)`
89.2%	2	`y`

Compiler

Compiled 13 to 15 computations (-15.4% saved)

regimes4.0ms (0.4%)

Memory

10.7MiB live, 10.7MiB allocated; 0ms collecting garbage

Counts

2 → 3

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
63.6%	3	`x`
91.8%	3	`(/.f64 x (*.f64 y y))`
91.8%	3	`(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))`

Compiler

Compiled 11 to 12 computations (-9.1% saved)

regimes5.0ms (0.5%)

Memory

14.0MiB live, 14.0MiB 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
49.2%	1	`x`
49.2%	1	`(*.f64 y y)`
49.2%	1	`y`
49.2%	1	`(/.f64 x (*.f64 y y))`
49.2%	1	`(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))`

Compiler

Compiled 14 to 17 computations (-21.4% saved)

bsearch55.0ms (5.2%)

Memory

-36.5MiB live, 16.7MiB allocated; 10ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
54.0ms	9.492692704647948e-111	3.63355131516969e-108

Samples

4.0ms

128×

valid

Compiler

Compiled 130 to 147 computations (-13.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-mult!: 1.0ms (62.3% of total)

ival-div!: 1.0ms (62.3% of total)

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

adjust: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-2.1426042517439092	8551.231012967857
0.0ms	-12857224.807186633	-3.2693537170230207

Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-2.1426042517439092	8551.231012967857
0.0ms	-12857224.807186633	-3.2693537170230207

Compiler

Compiled 9 to 11 computations (-22.2% saved)

derivations13.0ms (1.2%)

Memory

24.8MiB live, 24.8MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 39 to 28 computations (28.2% saved)

preprocess107.0ms (10.1%)

Memory: -5.3MiB live, 86.4MiB allocated; 8ms collecting garbage
Remove: (abs y)
Compiler: Compiled 201 to 174 computations (13.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze19.0ms (1.8%)

sample501.0ms (47.3%)

preprocess10.0ms (1%)

series6.0ms (0.6%)

rewrite55.0ms (5.2%)

eval5.0ms (0.5%)

prune2.0ms (0.2%)

series7.0ms (0.7%)

rewrite49.0ms (4.6%)

eval8.0ms (0.8%)

prune3.0ms (0.3%)

series5.0ms (0.4%)

rewrite53.0ms (5%)

eval2.0ms (0.2%)

prune2.0ms (0.2%)

regimes15.0ms (1.4%)

regimes9.0ms (0.8%)

regimes125.0ms (11.8%)

regimes4.0ms (0.4%)

regimes5.0ms (0.5%)

bsearch55.0ms (5.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

derivations13.0ms (1.2%)

preprocess107.0ms (10.1%)

end0.0ms (0%)

Profiling