Metrics for sqrt sqr

start0.0ms (0.0%)

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

analyze17.0ms (0.9%)

Memory

-36.2MiB live, 4.1MiB allocated; 52ms 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)

sample1.5s (76.7%)

Memory

51.5MiB live, 1 749.8MiB allocated; 1.1s collecting garbage

Samples

883.0ms	4 122×	2	valid
277.0ms	4 134×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 906.0ms

adjust: 379.0ms (41.8% of total)

ival-mult!: 163.0ms (18.0% of total)

ival-div!: 147.0ms (16.2% of total)

ival-sub!: 111.0ms (12.2% of total)

ival-sqrt: 105.0ms (11.6% of total)

Bogosity

preprocess65.0ms (3.4%)

Memory

-14.5MiB live, 75.8MiB allocated; 9ms 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
▶	51.2%	(-.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)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs
1

Outputs
#s(literal 1 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 3 to 3 computations (0.0% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0.0% of total)

series10.0ms (0.5%)

Memory

29.1MiB live, 29.1MiB 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

rewrite118.0ms (6.1%)

Memory

-22.0MiB live, 258.1MiB allocated; 39ms 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 → 573

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 (copysign.f64 #s(literal -1 binary64) (neg.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 (copysign.f64 #s(literal -1 binary64) 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 (copysign.f64 #s(literal -1 binary64) 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))
(fma.f64 (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)))
(fma.f64 (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(literal 1/2 binary64) (.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) x))
(fma.f64 (/.f64 (neg.f64 x) (neg.f64 (fabs.f64 x))) (/.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)))
(fma.f64 (/.f64 (neg.f64 x) (neg.f64 (fabs.f64 x))) (/.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 x))) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 (neg.f64 x) (neg.f64 (fabs.f64 x))) (/.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 x))) (/.f64 #s(literal 0 binary64) x))
(fma.f64 (/.f64 x (neg.f64 (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)))
(fma.f64 (/.f64 x (neg.f64 (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x))) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 x (neg.f64 (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x))) (/.f64 #s(literal 0 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x (.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x (/.f64 #s(literal 0 binary64) x))
(fma.f64 (copysign.f64 #s(literal -1 binary64) (neg.f64 x)) (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)))
(fma.f64 (copysign.f64 #s(literal -1 binary64) (neg.f64 x)) (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (copysign.f64 #s(literal -1 binary64) (neg.f64 x)) (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (/.f64 #s(literal 0 binary64) x))
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) x))
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)))
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 0 binary64) x))
(fma.f64 (neg.f64 x) (/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)))
(fma.f64 (neg.f64 x) (/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 x)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (neg.f64 x) (/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 x)) (/.f64 #s(literal 0 binary64) x))
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) x)) (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)))
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) x)) (.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 0 binary64) x))
(fma.f64 (neg.f64 x) (/.f64 (/.f64 #s(literal -1 binary64) x) x) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)))
(fma.f64 (neg.f64 x) (/.f64 (/.f64 #s(literal -1 binary64) x) x) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (neg.f64 x) (/.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 #s(literal 0 binary64) x))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 0 binary64) x))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 0 binary64) x))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 0 binary64) x))
(fma.f64 (copysign.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)))
(fma.f64 (copysign.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (copysign.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 0 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) x))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 0 binary64) x))
(fma.f64 x (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)))
(fma.f64 x (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 0 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)))
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(/.f64 (fma.f64 x x (.f64 (neg.f64 (fabs.f64 x)) x)) (.f64 x x))
(/.f64 (-.f64 (.f64 (copysign.f64 #s(literal -1 binary64) (neg.f64 x)) (copysign.f64 #s(literal -1 binary64) (neg.f64 x))) (.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 (copysign.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (copysign.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (fma.f64 (copysign.f64 #s(literal -1 binary64) (neg.f64 x)) (copysign.f64 #s(literal -1 binary64) (neg.f64 x)) (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (copysign.f64 #s(literal -1 binary64) (neg.f64 x)))))
(/.f64 (+.f64 (neg.f64 x) (fabs.f64 x)) (neg.f64 x))
(/.f64 (-.f64 (neg.f64 x) (neg.f64 (fabs.f64 x))) (neg.f64 x))
(/.f64 (fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x) (.f64 (neg.f64 x) x)) (.f64 (neg.f64 x) x))
(/.f64 (fma.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64) (.f64 x #s(literal 2 binary64))) (.f64 x #s(literal 2 binary64)))
(/.f64 (fma.f64 (fabs.f64 x) #s(literal 2 binary64) (.f64 (neg.f64 x) #s(literal 2 binary64))) (.f64 (neg.f64 x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (neg.f64 x) x (.f64 (neg.f64 x) (neg.f64 (fabs.f64 x)))) (.f64 (neg.f64 x) x))
(/.f64 (fma.f64 #s(literal 2 binary64) x (.f64 #s(literal 2 binary64) (neg.f64 (fabs.f64 x)))) (.f64 #s(literal 2 binary64) x))
(/.f64 (fma.f64 #s(literal 2 binary64) (neg.f64 x) (.f64 #s(literal 2 binary64) (fabs.f64 x))) (.f64 #s(literal 2 binary64) (neg.f64 x)))
(/.f64 (fma.f64 (neg.f64 (fabs.f64 x)) x (.f64 x x)) (.f64 x x))
(/.f64 (-.f64 (.f64 x x) (.f64 (neg.f64 x) (neg.f64 (fabs.f64 x)))) (*.f64 x x))
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) (neg.f64 x)) (.f64 #s(literal 2 binary64) (neg.f64 (fabs.f64 x)))) (*.f64 #s(literal 2 binary64) (neg.f64 x)))
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal 2 binary64) (fabs.f64 x))) (*.f64 #s(literal 2 binary64) x))
(/.f64 (neg.f64 (+.f64 (neg.f64 (fabs.f64 x)) x)) (neg.f64 x))
(/.f64 (-.f64 x (fabs.f64 x)) x)
(/.f64 (-.f64 (fabs.f64 x) x) (neg.f64 x))
(/.f64 (+.f64 (neg.f64 (fabs.f64 x)) x) x)
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (.f64 (copysign.f64 #s(literal -1 binary64) (neg.f64 x)) (copysign.f64 #s(literal -1 binary64) (neg.f64 x)))) (-.f64 #s(literal 1 binary64) (copysign.f64 #s(literal -1 binary64) (neg.f64 x))))
(/.f64 (+.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (copysign.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (-.f64 (*.f64 (copysign.f64 #s(literal -1 binary64) (neg.f64 x)) (copysign.f64 #s(literal -1 binary64) (neg.f64 x))) (copysign.f64 #s(literal -1 binary64) (neg.f64 x)))))
(/.f64 (.f64 (neg.f64 x) (-.f64 x (fabs.f64 x))) (.f64 (neg.f64 x) x))
(/.f64 (.f64 x (-.f64 x (fabs.f64 x))) (.f64 x x))
(/.f64 (.f64 (neg.f64 x) (-.f64 (fabs.f64 x) x)) (.f64 x x))
(/.f64 (.f64 x (-.f64 (fabs.f64 x) x)) (.f64 (neg.f64 x) x))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (.f64 (copysign.f64 #s(literal -1 binary64) x) (copysign.f64 #s(literal -1 binary64) x))) (+.f64 #s(literal 1 binary64) (copysign.f64 #s(literal -1 binary64) x)))
(/.f64 (-.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (copysign.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (fma.f64 (copysign.f64 #s(literal -1 binary64) x) (copysign.f64 #s(literal -1 binary64) x) (copysign.f64 #s(literal -1 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 x (fabs.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 x) x) (.f64 (neg.f64 x) (-.f64 x (fabs.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (.f64 x (-.f64 x (fabs.f64 x)))))
(neg.f64 (-.f64 (copysign.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(fma.f64 (*.f64 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
(fma.f64 (.f64 (neg.f64 (fabs.f64 x)) x) (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64))
(fma.f64 (-.f64 x (fabs.f64 x)) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 (.f64 (neg.f64 x) (-.f64 x (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) x)) #s(literal 0 binary64))
(fma.f64 (.f64 x (-.f64 x (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (fabs.f64 x)) (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(fma.f64 (copysign.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (neg.f64 x) (fabs.f64 x)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (fabs.f64 x) x) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (fabs.f64 x) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (-.f64 (copysign.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (copysign.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
(fma.f64 (fabs.f64 x) (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 x (fabs.f64 x)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (neg.f64 (fabs.f64 x)) x) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (fabs.f64 x)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (copysign.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (copysign.f64 #s(literal -1 binary64) x)) #s(literal 0 binary64))
(fma.f64 x (*.f64 (copysign.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64))
(fma.f64 x (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (neg.f64 (fabs.f64 x))) #s(literal 1 binary64))
(fma.f64 x (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 x (fabs.f64 x))) #s(literal 0 binary64))
(fma.f64 x (/.f64 (copysign.f64 #s(literal -1 binary64) x) (neg.f64 x)) #s(literal 1 binary64))
(-.f64 (copysign.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (copysign.f64 #s(literal -1 binary64) x))
(+.f64 (+.f64 (copysign.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(+.f64 (copysign.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal 1 binary64))
(+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (copysign.f64 #s(literal -1 binary64) (neg.f64 x))))
(+.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (copysign.f64 #s(literal -1 binary64) x)))
(+.f64 (-.f64 #s(literal 1 binary64) (copysign.f64 #s(literal -1 binary64) x)) #s(literal 0 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (copysign.f64 #s(literal -1 binary64) (neg.f64 x))))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (copysign.f64 #s(literal -1 binary64) x)))
(+.f64 #s(literal 1 binary64) (copysign.f64 #s(literal -1 binary64) (neg.f64 x)))

eval53.0ms (2.8%)

Memory: 44.6MiB live, 180.6MiB allocated; 13ms collecting garbage
Compiler: Compiled 9 646 to 2 084 computations (78.4% saved)

prune32.0ms (1.7%)

Memory

-22.2MiB live, 26.6MiB allocated; 12ms collecting garbage

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	573	2	575
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	574	2	576

Accuracy

100.0%

Counts

576 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.4%	#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64))
▶	52.7%	#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64))

Compiler

Compiled 4 to 6 computations (-50.0% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs
0
2

Outputs
#s(literal 0 binary64)
#s(literal 2 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 4 to 4 computations (0.0% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0.0% of total)

series4.0ms (0.2%)

Memory

8.8MiB live, 8.8MiB 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 (4.2%)

Memory

28.7MiB live, 166.1MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	30
0	12	22
1	73	18
2	327	16
3	3838	16
0	4439	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))

eval8.0ms (0.4%)

Memory: -66.4MiB live, 0.5MiB allocated; 16ms collecting garbage
Compiler: Compiled 4 to 5 computations (-25.0% saved)

prune5.0ms (0.2%)

Memory

12.9MiB live, 12.9MiB 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
✓	50.4%	#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64))
✓	52.7%	#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64))

Compiler

Compiled 4 to 6 computations (-50.0% saved)

regimes7.0ms (0.4%)

Memory

18.7MiB live, 18.7MiB 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
52.7%	1	`(-.f64 (/.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x))))`
52.7%	1	`x`
91.3%	2	`(-.f64 (/.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x))))`
100.0%	2	`x`

Compiler

Compiled 42 to 30 computations (28.6% saved)

bsearch30.0ms (1.6%)

Memory

0.7MiB live, 47.6MiB allocated; 2ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
28.0ms	-4.2433301124576153e-308	4.7415373782595865e-306

Samples

7.0ms	62×	2	valid
3.0ms	66×	0	valid

Compiler

Compiled 47 to 76 computations (-61.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-div!: 2.0ms (26.1% of total)

ival-sqrt: 2.0ms (26.1% of total)

ival-mult!: 2.0ms (26.1% of total)

adjust: 1.0ms (13.0% of total)

ival-sub!: 1.0ms (13.0% of total)

derivations1.0ms (0.1%)

Memory

2.4MiB live, 2.4MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 10 to 8 computations (20.0% saved)

preprocess16.0ms (0.8%)

Memory: -18.3MiB live, 26.7MiB allocated; 6ms collecting garbage
Compiler: Compiled 22 to 16 computations (27.3% saved)

end0.0ms (0.0%)

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

start0.0ms (0.0%)

analyze17.0ms (0.9%)

sample1.5s (76.7%)

preprocess65.0ms (3.4%)

sample0.0ms (0.0%)

series10.0ms (0.5%)

rewrite118.0ms (6.1%)

eval53.0ms (2.8%)

prune32.0ms (1.7%)

sample0.0ms (0.0%)

series4.0ms (0.2%)

rewrite81.0ms (4.2%)

eval8.0ms (0.4%)

prune5.0ms (0.2%)

regimes7.0ms (0.4%)

bsearch30.0ms (1.6%)

derivations1.0ms (0.1%)

preprocess16.0ms (0.8%)

end0.0ms (0.0%)

Profiling