Metrics for sqrt sqr

start0.0ms (0.0%)

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

analyze6.0ms (0.1%)

Memory

-14.7MiB live, 39.7MiB allocated; 3ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0.0%	0.0%	100.0%	0.0%	0.0%	0.0%	0.0%	0
0.0%	0.0%	100.0%	0.0%	0.0%	0.0%	0.0%	1
50.0%	50.0%	50.0%	0.0%	0.0%	0.0%	0.0%	2
75.0%	75.0%	25.0%	0.0%	0.0%	0.0%	0.0%	3
87.5%	87.5%	12.5%	0.0%	0.0%	0.0%	0.0%	4
93.8%	93.7%	6.2%	0.0%	0.0%	0.0%	0.0%	5
96.9%	96.8%	3.1%	0.0%	0.0%	0.0%	0.0%	6
98.4%	98.4%	1.6%	0.0%	0.0%	0.0%	0.0%	7
99.2%	99.2%	0.8%	0.0%	0.0%	0.0%	0.0%	8
99.6%	99.6%	0.4%	0.0%	0.0%	0.0%	0.0%	9
99.8%	99.8%	0.2%	0.0%	0.0%	0.0%	0.0%	10
99.9%	99.9%	0.1%	0.0%	0.0%	0.0%	0.0%	11
100.0%	99.9%	0.0%	0.0%	0.0%	0.0%	0.0%	12

Compiler

Compiled 14 to 10 computations (28.6% saved)

sample1.7s (39.1%)

Memory

129.2MiB live, 13 167.0MiB allocated; 493ms collecting garbage

Samples

945.0ms	4 150×	2	valid
377.0ms	4 106×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 780.0ms

ival-div!: 179.0ms (23.0% of total)

ival-mult!: 169.0ms (21.7% of total)

adjust: 164.0ms (21.0% of total)

ival-sqrt: 163.0ms (20.9% of total)

ival-sub!: 105.0ms (13.5% of total)

Bogosity

preprocess722.0ms (16.9%)

Memory

-410.4MiB live, 99.5MiB allocated; 1.2s collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	26
1	87	19
2	386	15
3	3509	15

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.4%	(-.f64 (/.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x))))

Compiler

Compiled 24 to 16 computations (33.3% saved)

series14.0ms (0.3%)

Memory

21.9MiB live, 21.8MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	68

Stop Event

1×	iter-limit

Counts

8 → 8

Calls

Call 1

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

Outputs
#s(approx x x)
#s(approx (/ x x) #s(literal 1 binary64))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64))
#s(approx (sqrt (* x x)) (*.f64 #s(literal -1 binary64) x))
#s(approx (* (/ 1 x) (sqrt (* x x))) #s(literal -1 binary64))
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64))

Calls

3 calls:

Time	Variable	Point
2.0ms	x	-inf
2.0ms	x	0
1.0ms	x	inf

rewrite117.0ms (2.7%)

Memory

15.3MiB live, 156.9MiB allocated; 32ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	35
0	14	25
1	75	21
2	291	19
3	2611	19
0	4252	19

Stop Event

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

Counts

8 → 553

Calls

Call 1

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

Outputs
x
#s(literal 1 binary64)
#s(literal 1 binary64)
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal -1 binary64)))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) x)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 x) (neg.f64 (fabs.f64 x))) (/.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 x))))
(*.f64 (/.f64 x (neg.f64 (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x)
(*.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 x (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))))
(*.f64 (/.f64 (neg.f64 x) (fabs.f64 x)) (/.f64 #s(literal -1 binary64) (fabs.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 #s(literal -1 binary64) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(*.f64 (neg.f64 x) (/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 x)))
(.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) x)))
(*.f64 (neg.f64 x) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 (/.f64 (fabs.f64 x) x) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 0 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 #s(literal 1 binary64) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(.f64 x (/.f64 #s(literal 1 binary64) (.f64 x x)))
(pow.f64 x #s(literal -1 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(/.f64 (/.f64 x (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)))
(/.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)) (.f64 (*.f64 (neg.f64 x) x) #s(literal 2 binary64)))
(/.f64 (.f64 x #s(literal 2 binary64)) (.f64 (*.f64 x x) #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 (.f64 #s(literal 2 binary64) (neg.f64 x)) (.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) x)))
(/.f64 #s(literal -2 binary64) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 x)))
(/.f64 (.f64 (neg.f64 x) x) (.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (.f64 (neg.f64 x) x) (.f64 x (*.f64 (neg.f64 x) x)))
(/.f64 (.f64 (neg.f64 x) x) (.f64 (neg.f64 x) (*.f64 x x)))
(/.f64 (neg.f64 x) (*.f64 (neg.f64 x) x))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))
(/.f64 (/.f64 (fabs.f64 x) x) (fabs.f64 x))
(/.f64 (.f64 x x) (.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)))
(/.f64 (.f64 x x) (.f64 (*.f64 x x) x))
(/.f64 (.f64 x x) (.f64 (neg.f64 x) (*.f64 (neg.f64 x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) x))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) x)
(/.f64 x (*.f64 x x))
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 0 binary64) x))
(.f64 (sqrt.f64 (.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x))) (sqrt.f64 (*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x))))
(.f64 (sqrt.f64 (.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x))) (sqrt.f64 (*.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x))))
(.f64 (sqrt.f64 (.f64 (neg.f64 (fabs.f64 x)) x)) (sqrt.f64 (*.f64 (neg.f64 (fabs.f64 x)) x)))
(.f64 (sqrt.f64 (.f64 (neg.f64 x) (neg.f64 (fabs.f64 x)))) (sqrt.f64 (*.f64 (neg.f64 x) (neg.f64 (fabs.f64 x)))))
(.f64 (sqrt.f64 (.f64 (fabs.f64 x) (neg.f64 (fabs.f64 x)))) (sqrt.f64 (*.f64 (fabs.f64 x) (neg.f64 (fabs.f64 x)))))
(.f64 (sqrt.f64 (.f64 (neg.f64 x) (fabs.f64 x))) (sqrt.f64 (*.f64 (neg.f64 x) (fabs.f64 x))))
(.f64 (sqrt.f64 (.f64 (neg.f64 (fabs.f64 x)) (*.f64 x x))) (sqrt.f64 (neg.f64 (fabs.f64 x))))
(.f64 (sqrt.f64 (.f64 (neg.f64 x) (*.f64 x x))) (sqrt.f64 (neg.f64 x)))
(.f64 (sqrt.f64 (.f64 (fabs.f64 x) (*.f64 x x))) (sqrt.f64 (fabs.f64 x)))
(.f64 (sqrt.f64 (.f64 (*.f64 x x) x)) (sqrt.f64 x))
(.f64 (sqrt.f64 (.f64 (fabs.f64 x) x)) (sqrt.f64 (*.f64 (fabs.f64 x) x)))
(.f64 (sqrt.f64 (.f64 (neg.f64 x) x)) (sqrt.f64 (*.f64 (neg.f64 x) x)))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 3/2 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (neg.f64 (fabs.f64 x)) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 (fabs.f64 x)) x) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (neg.f64 x) (neg.f64 (fabs.f64 x))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 x) (neg.f64 (fabs.f64 x))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (fabs.f64 x) (neg.f64 (fabs.f64 x))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (fabs.f64 x) (neg.f64 (fabs.f64 x))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (neg.f64 x) (fabs.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 x) (fabs.f64 x)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (neg.f64 x) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (neg.f64 (fabs.f64 x)) (*.f64 x x)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (neg.f64 x) (*.f64 x x)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (fabs.f64 x) (*.f64 x x)) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 x x) x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))
(.f64 (pow.f64 (.f64 (fabs.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (.f64 x x))
(.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))
(.f64 (pow.f64 #s(literal -1 binary64) #s(literal 2 binary64)) (.f64 x x))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 x)) #s(literal 2 binary64)))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))
(.f64 (pow.f64 (.f64 (fabs.f64 x) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (fabs.f64 x) x) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (fabs.f64 x) x) #s(literal 1 binary64)) (pow.f64 (/.f64 (fabs.f64 x) x) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (.f64 (.f64 x x) x) x) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (.f64 (.f64 (*.f64 x x) x) x) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (neg.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (fabs.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (fabs.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(.f64 (pow.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(.f64 (sqrt.f64 (neg.f64 (fabs.f64 x))) (sqrt.f64 (.f64 (neg.f64 (fabs.f64 x)) (*.f64 x x))))
(.f64 (pow.f64 (.f64 x x) #s(literal 0 binary64)) (*.f64 x x))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (.f64 (neg.f64 (fabs.f64 x)) (*.f64 x x)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 x x))
(.f64 (pow.f64 (/.f64 (fabs.f64 x) x) #s(literal 2 binary64)) (.f64 x x))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (neg.f64 (fabs.f64 x)))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 (*.f64 x x) x) x))
(*.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(.f64 (.f64 (fabs.f64 x) x) (/.f64 (fabs.f64 x) x))
(.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (.f64 (neg.f64 x) (*.f64 x x))))
(.f64 (sqrt.f64 (fabs.f64 x)) (sqrt.f64 (.f64 (fabs.f64 x) (*.f64 x x))))
(.f64 (.f64 (.f64 (.f64 x x) x) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 (.f64 (/.f64 (fabs.f64 x) x) (fabs.f64 x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) x)
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 x) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)) (pow.f64 (.f64 (neg.f64 x) (*.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 x) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (pow.f64 (.f64 (fabs.f64 x) (*.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 (.f64 (*.f64 x x) x) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (*.f64 x x) x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(.f64 (.f64 x x) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 0 binary64)))
(.f64 (.f64 x x) (pow.f64 (fabs.f64 x) #s(literal 0 binary64)))
(.f64 (.f64 x x) (pow.f64 (.f64 (.f64 (*.f64 x x) x) x) #s(literal 0 binary64)))
(.f64 (.f64 x x) (pow.f64 (neg.f64 x) #s(literal 0 binary64)))
(.f64 (.f64 x x) (pow.f64 x #s(literal 0 binary64)))
(.f64 (.f64 x x) (pow.f64 (*.f64 (/.f64 (fabs.f64 x) x) #s(literal -1 binary64)) #s(literal 2 binary64)))
(.f64 (.f64 x x) (pow.f64 (/.f64 (neg.f64 x) (fabs.f64 x)) #s(literal 2 binary64)))
(.f64 (.f64 x x) (pow.f64 #s(literal 1 binary64) #s(literal 1 binary64)))
(.f64 (.f64 x x) (pow.f64 #s(literal -1 binary64) #s(literal 2 binary64)))
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(.f64 (.f64 x x) (pow.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
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(134-z0z1z2z3z4 (/.f64 #s(literal 1 binary64) x) (/.f64 (fabs.f64 x) x) (neg.f64 x) (*.f64 x x) (/.f64 #s(literal -1 binary64) x))
(134-z0z1z2z3z4 (/.f64 #s(literal 1 binary64) x) (/.f64 (fabs.f64 x) x) (neg.f64 x) #s(literal 1 binary64) (neg.f64 x))
(134-z0z1z2z3z4 (/.f64 #s(literal 1 binary64) x) (/.f64 (fabs.f64 x) x) (neg.f64 x) x #s(literal -1 binary64))
(134-z0z1z2z3z4 (/.f64 #s(literal 1 binary64) x) (fabs.f64 x) #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(134-z0z1z2z3z4 (/.f64 #s(literal 1 binary64) x) (fabs.f64 x) #s(literal -1 binary64) (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) x))
(134-z0z1z2z3z4 (/.f64 #s(literal 1 binary64) x) (fabs.f64 x) #s(literal -1 binary64) (neg.f64 x) #s(literal 1 binary64))
(134-z0z1z2z3z4 (/.f64 #s(literal 1 binary64) x) (fabs.f64 x) #s(literal -1 binary64) #s(literal -1 binary64) x)
(134-z0z1z2z3z4 (/.f64 #s(literal 1 binary64) x) (fabs.f64 x) #s(literal -1 binary64) (*.f64 x x) (/.f64 #s(literal -1 binary64) x))
(134-z0z1z2z3z4 (/.f64 #s(literal 1 binary64) x) (fabs.f64 x) #s(literal -1 binary64) #s(literal 1 binary64) (neg.f64 x))
(134-z0z1z2z3z4 (/.f64 #s(literal 1 binary64) x) (fabs.f64 x) #s(literal -1 binary64) x #s(literal -1 binary64))
(134-z0z1z2z3z4 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (.f64 (neg.f64 x) (fabs.f64 x)) (.f64 (neg.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(134-z0z1z2z3z4 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (.f64 (neg.f64 x) (fabs.f64 x)) (.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) x))
(134-z0z1z2z3z4 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 x) (fabs.f64 x)) (neg.f64 x) #s(literal 1 binary64))
(134-z0z1z2z3z4 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 x) (fabs.f64 x)) #s(literal -1 binary64) x)
(134-z0z1z2z3z4 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (.f64 (neg.f64 x) (fabs.f64 x)) (.f64 x x) (/.f64 #s(literal -1 binary64) x))
(134-z0z1z2z3z4 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 x) (fabs.f64 x)) #s(literal 1 binary64) (neg.f64 x))
(134-z0z1z2z3z4 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 x) (fabs.f64 x)) x #s(literal -1 binary64))
(134-z0z1z2z3z4 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (neg.f64 (fabs.f64 x)) (*.f64 (neg.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(134-z0z1z2z3z4 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (neg.f64 (fabs.f64 x)) (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) x))
(134-z0z1z2z3z4 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (neg.f64 (fabs.f64 x)) (neg.f64 x) #s(literal 1 binary64))
(134-z0z1z2z3z4 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (neg.f64 (fabs.f64 x)) #s(literal -1 binary64) x)
(134-z0z1z2z3z4 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (neg.f64 (fabs.f64 x)) (*.f64 x x) (/.f64 #s(literal -1 binary64) x))
(134-z0z1z2z3z4 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (neg.f64 (fabs.f64 x)) #s(literal 1 binary64) (neg.f64 x))
(134-z0z1z2z3z4 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (neg.f64 (fabs.f64 x)) x #s(literal -1 binary64))
(134-z0z1z2z3z4 (/.f64 #s(literal 1 binary64) x) x (.f64 (/.f64 (fabs.f64 x) x) #s(literal -1 binary64)) (.f64 (neg.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(134-z0z1z2z3z4 (/.f64 #s(literal 1 binary64) x) x (.f64 (/.f64 (fabs.f64 x) x) #s(literal -1 binary64)) (.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) x))
(134-z0z1z2z3z4 (/.f64 #s(literal 1 binary64) x) x (*.f64 (/.f64 (fabs.f64 x) x) #s(literal -1 binary64)) (neg.f64 x) #s(literal 1 binary64))
(134-z0z1z2z3z4 (/.f64 #s(literal 1 binary64) x) x (*.f64 (/.f64 (fabs.f64 x) x) #s(literal -1 binary64)) #s(literal -1 binary64) x)
(134-z0z1z2z3z4 (/.f64 #s(literal 1 binary64) x) x (.f64 (/.f64 (fabs.f64 x) x) #s(literal -1 binary64)) (.f64 x x) (/.f64 #s(literal -1 binary64) x))
(134-z0z1z2z3z4 (/.f64 #s(literal 1 binary64) x) x (*.f64 (/.f64 (fabs.f64 x) x) #s(literal -1 binary64)) #s(literal 1 binary64) (neg.f64 x))
(134-z0z1z2z3z4 (/.f64 #s(literal 1 binary64) x) x (*.f64 (/.f64 (fabs.f64 x) x) #s(literal -1 binary64)) x #s(literal -1 binary64))
(134-z0z1z2z3z4 (/.f64 #s(literal 1 binary64) x) x (/.f64 (neg.f64 x) (fabs.f64 x)) (*.f64 (neg.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(134-z0z1z2z3z4 (/.f64 #s(literal 1 binary64) x) x (/.f64 (neg.f64 x) (fabs.f64 x)) (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) x))
(134-z0z1z2z3z4 (/.f64 #s(literal 1 binary64) x) x (/.f64 (neg.f64 x) (fabs.f64 x)) (neg.f64 x) #s(literal 1 binary64))
(134-z0z1z2z3z4 (/.f64 #s(literal 1 binary64) x) x (/.f64 (neg.f64 x) (fabs.f64 x)) #s(literal -1 binary64) x)
(134-z0z1z2z3z4 (/.f64 #s(literal 1 binary64) x) x (/.f64 (neg.f64 x) (fabs.f64 x)) (*.f64 x x) (/.f64 #s(literal -1 binary64) x))
(134-z0z1z2z3z4 (/.f64 #s(literal 1 binary64) x) x (/.f64 (neg.f64 x) (fabs.f64 x)) #s(literal 1 binary64) (neg.f64 x))
(134-z0z1z2z3z4 (/.f64 #s(literal 1 binary64) x) x (/.f64 (neg.f64 x) (fabs.f64 x)) x #s(literal -1 binary64))
(neg.f64 (-.f64 (/.f64 (fabs.f64 x) x) #s(literal 1 binary64)))
(-.f64 (/.f64 (neg.f64 x) (fabs.f64 x)) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x))
(+.f64 (+.f64 (/.f64 (neg.f64 x) (fabs.f64 x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(+.f64 (/.f64 (neg.f64 x) (fabs.f64 x)) #s(literal 1 binary64))
(+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 x) (fabs.f64 x))))
(+.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 (fabs.f64 x) x)))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)) #s(literal 0 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) (fabs.f64 x))))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (fabs.f64 x) x)))
(+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (fabs.f64 x)))

eval1.6s (37.9%)

Memory

54.3MiB live, 2 211.5MiB allocated; 415ms collecting garbage

Samples

853.0ms	15 198×	0	valid
274.0ms	2 738×	1	valid
101.0ms	1 776×	0	invalid

Compiler

Compiled 9 182 to 1 921 computations (79.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 449.0ms

ival-mult!: 317.0ms (70.6% of total)

adjust: 66.0ms (14.7% of total)

ival-sub!: 65.0ms (14.5% of total)

prune11.0ms (0.3%)

Memory

-25.4MiB live, 19.7MiB allocated; 7ms collecting garbage

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	554	2	556
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	555	2	557

Accuracy

100.0%

Counts

557 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.5%	#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64))
▶	54.6%	#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64))

Compiler

Compiled 28 to 20 computations (28.6% saved)

series5.0ms (0.1%)

Memory

7.0MiB live, 7.0MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	28

Stop Event

1×	iter-limit

Counts

4 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64))
#s(literal 2 binary64)
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64))

Outputs
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64))
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64))

Calls

3 calls:

Time	Variable	Point
1.0ms	x	inf
1.0ms	x	-inf
1.0ms	x	0

rewrite81.0ms (1.9%)

Memory

-15.8MiB live, 83.3MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	30
0	12	22
1	73	18
2	327	16
3	3848	16
0	4449	16

Stop Event

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

Counts

4 → 4

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64))
#s(literal 2 binary64)
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64))

Outputs
#s(literal 0 binary64)
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64))
#s(literal 2 binary64)
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64))

eval0.0ms (0.0%)

Memory: 0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 28 to 12 computations (57.1% saved)

prune1.0ms (0.0%)

Memory

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

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	2	0	2
Fresh	0	0	0
Picked	2	0	2
Done	-2	2	0
Total	2	2	4

Accuracy

100.0%

Counts

4 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	48.5%	#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64))
✓	54.6%	#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64))

Compiler

Compiled 28 to 20 computations (28.6% saved)

regimes7.0ms (0.2%)

Memory

13.8MiB live, 13.8MiB allocated; 0ms collecting garbage

Counts

1 → 1

3 → 2

Calls

Call 1

Inputs
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64))

Outputs
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64))

Call 2

Inputs

#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64))

#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64))

(-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x))))

Outputs
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64))
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64))

Calls

4 calls:

2.0ms	x
1.0ms	(-.f64 (/.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x))))
1.0ms	x
1.0ms	(-.f64 (/.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x))))

Results

Accuracy	Segments	Branch
54.6%	1	`(-.f64 (/.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x))))`
54.6%	1	`x`
90.2%	2	`(-.f64 (/.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x))))`
100.0%	2	`x`

Compiler

Compiled 66 to 37 computations (43.9% saved)

bsearch8.0ms (0.2%)

Memory

7.2MiB live, 7.2MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
7.0ms	-1.3698275050732205e-296	3.9546733564943024e-305

Samples

4.0ms	25×	2	valid
1.0ms	23×	0	valid

Compiler

Compiled 99 to 78 computations (21.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

adjust: 1.0ms (30.0% of total)

ival-div!: 1.0ms (30.0% of total)

ival-sqrt: 1.0ms (30.0% of total)

ival-mult!: 1.0ms (30.0% of total)

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

derivations1.0ms (0.0%)

Memory

1.1MiB live, 1.0MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 46 to 15 computations (67.4% saved)

preprocess10.0ms (0.2%)

Memory: 16.9MiB live, 16.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 58 to 23 computations (60.3% saved)

end0.0ms (0.0%)

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

start0.0ms (0.0%)

analyze6.0ms (0.1%)

sample1.7s (39.1%)

preprocess722.0ms (16.9%)

series14.0ms (0.3%)

rewrite117.0ms (2.7%)

eval1.6s (37.9%)

prune11.0ms (0.3%)

series5.0ms (0.1%)

rewrite81.0ms (1.9%)

eval0.0ms (0.0%)

prune1.0ms (0.0%)

regimes7.0ms (0.2%)

bsearch8.0ms (0.2%)

derivations1.0ms (0.0%)

preprocess10.0ms (0.2%)

end0.0ms (0.0%)

Profiling