Metrics for sqrt C (should all be same)

start0.0ms (0.0%)

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

analyze9.0ms (0.5%)

Memory

-42.5MiB live, 0.8MiB allocated; 9ms 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
100.0%	100.0%	0.0%	0.0%	0.0%	0.0%	0.0%	2

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample712.0ms (41.1%)

Memory

7.5MiB live, 1 023.7MiB allocated; 284ms collecting garbage

Samples

485.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 188.0ms

ival-mult!: 106.0ms (56.4% of total)

ival-sqrt: 81.0ms (43.1% of total)

adjust: 2.0ms (1.1% of total)

Bogosity

preprocess34.0ms (1.9%)

Memory

28.4MiB live, 75.7MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	35	19
2	114	19
3	252	19
4	1070	19

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	59.8%	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))

Symmetry

(abs x)

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample0.0ms (0.0%)

Memory

0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
2

Outputs
#s(literal 2 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)

series20.0ms (1.1%)

Memory

-4.9MiB live, 39.9MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	45

Stop Event

1×	iter-limit

Counts

5 → 5

Calls

Call 1

Inputs
#s(literal 2 binary64)
x
(*.f64 x x)
(.f64 #s(literal 2 binary64) (.f64 x x))
(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))

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

Calls

3 calls:

Time	Variable	Point
5.0ms	x	inf
3.0ms	x	-inf
1.0ms	x	0

rewrite118.0ms (6.8%)

Memory

-23.1MiB live, 122.4MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	16
0	8	16
1	25	16
2	129	16
3	536	16
4	1804	16
0	4021	15

Stop Event

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

Counts

5 → 482

Calls

Call 1

Inputs
#s(literal 2 binary64)
x
(*.f64 x x)
(.f64 #s(literal 2 binary64) (.f64 x x))
(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))

Outputs
#s(literal 2 binary64)
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 x (neg.f64 (fabs.f64 x)))) (sqrt.f64 (*.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 x (fabs.f64 x))) (sqrt.f64 (*.f64 x (fabs.f64 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 (fabs.f64 x) (neg.f64 x))) (sqrt.f64 (*.f64 (fabs.f64 x) (neg.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 (fabs.f64 x) x)) (sqrt.f64 (*.f64 (fabs.f64 x) x)))
(.f64 (sqrt.f64 (.f64 (neg.f64 (fabs.f64 x)) (*.f64 x x))) (sqrt.f64 (neg.f64 (fabs.f64 x))))
(.f64 (sqrt.f64 (.f64 (fabs.f64 x) (*.f64 x x))) (sqrt.f64 (fabs.f64 x)))
(.f64 (sqrt.f64 (.f64 (neg.f64 x) (*.f64 x x))) (sqrt.f64 (neg.f64 x)))
(.f64 (sqrt.f64 (.f64 (*.f64 x x) x)) (sqrt.f64 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 (fabs.f64 x) #s(literal 3/2 binary64)) (pow.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 x #s(literal 3/2 binary64)) (pow.f64 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 x (neg.f64 (fabs.f64 x))) #s(literal 1/2 binary64)) (pow.f64 (*.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 x (fabs.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x (fabs.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 (fabs.f64 x) (neg.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (fabs.f64 x) (neg.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 (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 (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 (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 (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 (*.f64 x x) x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)))
(.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1 binary64)) (pow.f64 (.f64 (neg.f64 x) x) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (neg.f64 x) x) #s(literal 1 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 1 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) (neg.f64 (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) (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) (neg.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 (.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 x))) (*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 x))))
(.f64 (.f64 (fabs.f64 x) #s(literal -1 binary64)) (*.f64 (fabs.f64 x) #s(literal -1 binary64)))
(.f64 (.f64 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64)) (*.f64 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64)))
(.f64 (.f64 (neg.f64 x) #s(literal -1 binary64)) (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(.f64 (.f64 x #s(literal -1 binary64)) (*.f64 x #s(literal -1 binary64)))
(.f64 (.f64 #s(literal -1 binary64) (neg.f64 x)) (*.f64 #s(literal -1 binary64) (neg.f64 x)))
(.f64 (.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1 binary64) (fabs.f64 x)))
(.f64 (.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) x))
(.f64 (.f64 (+.f64 x x) (+.f64 x x)) (pow.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 x)) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.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 #s(literal 1 binary64)) (.f64 x x))
(.f64 (pow.f64 (.f64 x x) #s(literal 0 binary64)) (*.f64 x x))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(*.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 #s(literal 1 binary64) #s(literal 1 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 1/2 binary64)) (.f64 x x))
(*.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 (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 (sqrt.f64 (neg.f64 (fabs.f64 x))) (sqrt.f64 (.f64 (neg.f64 (fabs.f64 x)) (*.f64 x x))))
(.f64 (sqrt.f64 (fabs.f64 x)) (sqrt.f64 (.f64 (fabs.f64 x) (*.f64 x x))))
(.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (.f64 (neg.f64 x) (*.f64 x 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 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 x))
(*.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 (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 (.f64 (neg.f64 x) x) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 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 (sqrt.f64 x) (sqrt.f64 (.f64 (*.f64 x x) x)))
(*.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 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 #s(literal 1 binary64) (.f64 x x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 (.f64 (+.f64 x x) x) (pow.f64 #s(literal 1/2 binary64) #s(literal 1 binary64)))
(.f64 (.f64 (+.f64 x x) x) #s(literal 1/2 binary64))
(.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 (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 (*.f64 x x) x) x) #s(literal 0 binary64)))
(.f64 (.f64 x x) (pow.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(.f64 (.f64 x x) (sqrt.f64 #s(literal 1 binary64)))
(.f64 (.f64 x x) (pow.f64 (*.f64 x x) #s(literal 0 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 1/2 binary64)))
(.f64 (.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(pow.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (*.f64 x x) x) x)) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 (*.f64 x x) x) x) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 (+.f64 x x) x)) #s(literal -2 binary64))
(/.f64 (.f64 #s(literal -2 binary64) (.f64 x x)) #s(literal -2 binary64))
(/.f64 (.f64 (.f64 (+.f64 x x) x) #s(literal -1 binary64)) #s(literal -2 binary64))
(/.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) #s(literal -2 binary64))
(/.f64 (pow.f64 (.f64 x x) #s(literal 0 binary64)) (pow.f64 (.f64 x x) #s(literal -1 binary64)))
(/.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64)))
(/.f64 (.f64 (.f64 #s(literal -2 binary64) x) x) #s(literal -2 binary64))
(/.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal -1 binary64)))
(/.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))
(/.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x x) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
(/.f64 (fabs.f64 x) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(/.f64 (*.f64 (+.f64 x x) x) #s(literal 2 binary64))
(/.f64 (.f64 x x) (pow.f64 (.f64 x x) #s(literal 0 binary64)))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 4 binary64)))
(sqrt.f64 (.f64 (.f64 (*.f64 x x) x) x))
(fabs.f64 (neg.f64 (*.f64 (neg.f64 x) (neg.f64 (fabs.f64 x)))))
(fabs.f64 (neg.f64 (*.f64 x (neg.f64 (fabs.f64 x)))))
(fabs.f64 (neg.f64 (*.f64 (neg.f64 x) (fabs.f64 x))))
(fabs.f64 (neg.f64 (*.f64 x (fabs.f64 x))))
(fabs.f64 (neg.f64 (*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x))))
(fabs.f64 (neg.f64 (*.f64 (fabs.f64 x) (neg.f64 x))))
(fabs.f64 (neg.f64 (*.f64 (neg.f64 (fabs.f64 x)) x)))
(fabs.f64 (neg.f64 (*.f64 (fabs.f64 x) x)))
(fabs.f64 (.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) (neg.f64 (fabs.f64 x)))))
(fabs.f64 (.f64 #s(literal -1 binary64) (.f64 x (neg.f64 (fabs.f64 x)))))
(fabs.f64 (.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) (fabs.f64 x))))
(fabs.f64 (.f64 #s(literal -1 binary64) (.f64 x (fabs.f64 x))))
(fabs.f64 (.f64 #s(literal -1 binary64) (.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x))))
(fabs.f64 (.f64 #s(literal -1 binary64) (.f64 (fabs.f64 x) (neg.f64 x))))
(fabs.f64 (.f64 #s(literal -1 binary64) (.f64 (neg.f64 (fabs.f64 x)) x)))
(fabs.f64 (.f64 #s(literal -1 binary64) (.f64 (fabs.f64 x) x)))
(fabs.f64 (.f64 (.f64 (neg.f64 x) (neg.f64 (fabs.f64 x))) #s(literal -1 binary64)))
(fabs.f64 (.f64 (.f64 x (neg.f64 (fabs.f64 x))) #s(literal -1 binary64)))
(fabs.f64 (.f64 (.f64 (neg.f64 x) (fabs.f64 x)) #s(literal -1 binary64)))
(fabs.f64 (.f64 (.f64 x (fabs.f64 x)) #s(literal -1 binary64)))
(fabs.f64 (.f64 (.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x)) #s(literal -1 binary64)))
(fabs.f64 (.f64 (.f64 (fabs.f64 x) (neg.f64 x)) #s(literal -1 binary64)))
(fabs.f64 (.f64 (.f64 (neg.f64 (fabs.f64 x)) x) #s(literal -1 binary64)))
(fabs.f64 (.f64 (.f64 (fabs.f64 x) x) #s(literal -1 binary64)))
(fabs.f64 (.f64 (.f64 (neg.f64 x) (neg.f64 (fabs.f64 x))) #s(literal 1 binary64)))
(fabs.f64 (.f64 (.f64 x (neg.f64 (fabs.f64 x))) #s(literal 1 binary64)))
(fabs.f64 (.f64 (.f64 (neg.f64 x) (fabs.f64 x)) #s(literal 1 binary64)))
(fabs.f64 (.f64 (.f64 x (fabs.f64 x)) #s(literal 1 binary64)))
(fabs.f64 (.f64 (.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x)) #s(literal 1 binary64)))
(fabs.f64 (.f64 (.f64 (fabs.f64 x) (neg.f64 x)) #s(literal 1 binary64)))
(fabs.f64 (.f64 (.f64 (neg.f64 (fabs.f64 x)) x) #s(literal 1 binary64)))
(fabs.f64 (.f64 (.f64 (fabs.f64 x) x) #s(literal 1 binary64)))
(fabs.f64 (.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) (neg.f64 (fabs.f64 x)))))
(fabs.f64 (.f64 #s(literal 1 binary64) (.f64 x (neg.f64 (fabs.f64 x)))))
(fabs.f64 (.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) (fabs.f64 x))))
(fabs.f64 (.f64 #s(literal 1 binary64) (.f64 x (fabs.f64 x))))
(fabs.f64 (.f64 #s(literal 1 binary64) (.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x))))
(fabs.f64 (.f64 #s(literal 1 binary64) (.f64 (fabs.f64 x) (neg.f64 x))))
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(.f64 (.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 #s(literal 4 binary64) (.f64 (.f64 (*.f64 x x) x) x))) #s(literal 1/8 binary64))
(pow.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (+.f64 x x) x) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (.f64 (.f64 (+.f64 x x) x) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 x x) x))) (sqrt.f64 #s(literal 2 binary64)))
(neg.f64 (neg.f64 (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64)))))
(sqrt.f64 (*.f64 (+.f64 x x) x))
(fabs.f64 (.f64 #s(literal -1 binary64) (neg.f64 (.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64))))))
(fabs.f64 (.f64 #s(literal -1 binary64) (.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64)))))
(fabs.f64 (.f64 (neg.f64 (.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1 binary64)))
(fabs.f64 (.f64 (.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64)))
(fabs.f64 (.f64 #s(literal 1 binary64) (neg.f64 (.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64))))))
(fabs.f64 (.f64 (neg.f64 (.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fabs.f64 (neg.f64 (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64)))))
(fabs.f64 (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 (*.f64 x x) x) x))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 x x) x)) #s(literal 1/2 binary64)))

eval44.0ms (2.5%)

Memory: 11.1MiB live, 100.4MiB allocated; 10ms collecting garbage
Compiler: Compiled 6 072 to 1 487 computations (75.5% saved)

prune9.0ms (0.5%)

Memory

18.9MiB live, 18.9MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	476	7	483
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	477	7	484

Accuracy

99.9%

Counts

484 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	59.5%	(/.f64 (sqrt.f64 (.f64 (.f64 (+.f64 x x) x) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
▶	99.6%	(*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x))
	98.9%	(.f64 (sqrt.f64 (.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64)))))
▶	0.0%	(.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) x)) (sqrt.f64 (neg.f64 x)))
▶	99.4%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x))
▶	59.8%	(sqrt.f64 (*.f64 (+.f64 x x) x))
▶	99.4%	#s(approx (sqrt (* 2 (* x x))) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))

Compiler

Compiled 122 to 90 computations (26.2% saved)

sample0.0ms (0.0%)

Memory

0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
2
(sqrt 2)
-2

Outputs
#s(literal 2 binary64)
#s(literal 6369051672525773/4503599627370496 binary64)
#s(literal -2 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 6 to 5 computations (16.7% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series17.0ms (1.0%)

Memory

-41.5MiB live, 60.0MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	269

Stop Event

1×	iter-limit

Counts

19 → 25

Calls

Call 1

Inputs
x
(+.f64 x x)
(sqrt.f64 (+.f64 x x))
(sqrt.f64 x)
(*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x))
#s(literal 2 binary64)
(sqrt.f64 #s(literal 2 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
#s(approx (sqrt (* 2 (* x x))) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(fabs.f64 x)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x))
(*.f64 (+.f64 x x) x)
(sqrt.f64 (*.f64 (+.f64 x x) x))
#s(literal -2 binary64)
(*.f64 #s(literal -2 binary64) x)
(sqrt.f64 (*.f64 #s(literal -2 binary64) x))
(neg.f64 x)
(sqrt.f64 (neg.f64 x))
(.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) x)) (sqrt.f64 (neg.f64 x)))

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

Calls

3 calls:

Time	Variable	Point
5.0ms	x	inf
3.0ms	x	0
2.0ms	x	-inf

rewrite52.0ms (3.0%)

Memory

50.7MiB live, 94.8MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	74
0	37	30
1	91	29
2	282	28
3	1158	22
4	3166	22
0	4079	22

Stop Event

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

Counts

19 → 79

Calls

Call 1

Inputs
x
(+.f64 x x)
(sqrt.f64 (+.f64 x x))
(sqrt.f64 x)
(*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x))
#s(literal 2 binary64)
(sqrt.f64 #s(literal 2 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
#s(approx (sqrt (* 2 (* x x))) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(fabs.f64 x)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x))
(*.f64 (+.f64 x x) x)
(sqrt.f64 (*.f64 (+.f64 x x) x))
#s(literal -2 binary64)
(*.f64 #s(literal -2 binary64) x)
(sqrt.f64 (*.f64 #s(literal -2 binary64) x))
(neg.f64 x)
(sqrt.f64 (neg.f64 x))
(.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) x)) (sqrt.f64 (neg.f64 x)))

Outputs
x
#s(literal 0 binary64)
x
#s(literal 0 binary64)
x
#s(literal 0 binary64)
x
#s(literal 0 binary64)
x
#s(literal 0 binary64)
#s(literal 2 binary64)
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (+.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/2 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) x))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))
(neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(cosh.f64 (neg.f64 (asinh.f64 #s(literal 1 binary64))))
(cosh.f64 (asinh.f64 (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
(cosh.f64 (asinh.f64 (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
(cosh.f64 (asinh.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
(cosh.f64 (asinh.f64 #s(literal -1 binary64)))
(cosh.f64 (asinh.f64 #s(literal 1 binary64)))
(sqrt.f64 #s(literal 2 binary64))
(fabs.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(fabs.f64 (sqrt.f64 #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
x
#s(literal 0 binary64)
#s(approx (sqrt (* 2 (* x x))) x)
x
#s(literal 0 binary64)
x
#s(literal 0 binary64)
x
#s(literal 0 binary64)
x
#s(literal 0 binary64)
#s(literal -2 binary64)
x
#s(literal 0 binary64)
x
#s(literal 0 binary64)
x
#s(literal 0 binary64)
x
#s(literal 0 binary64)
x
#s(literal 0 binary64)

eval12.0ms (0.7%)

Memory: -24.8MiB live, 20.2MiB allocated; 5ms collecting garbage
Compiler: Compiled 1 718 to 382 computations (77.8% saved)

prune6.0ms (0.3%)

Memory

12.3MiB live, 12.3MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	128	5	133
Fresh	1	1	2
Picked	5	0	5
Done	-3	3	0
Total	131	9	140

Accuracy

100.0%

Counts

140 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.1%	(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fabs.f64 x))
✓	99.6%	(*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x))
	98.9%	(.f64 (sqrt.f64 (.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64)))))
✓	0.0%	(.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) x)) (sqrt.f64 (neg.f64 x)))
▶	99.4%	(*.f64 #s(literal 6369051672525773/4503599627370496 binary64) (fabs.f64 x))
✓	59.8%	(sqrt.f64 (*.f64 (+.f64 x x) x))
▶	99.1%	#s(approx (sqrt (* 2 (* x x))) (*.f64 x (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
▶	99.4%	#s(approx (sqrt (* 2 (* x x))) (*.f64 x #s(literal 6369051672525773/4503599627370496 binary64)))
▶	20.3%	#s(approx (sqrt (* 2 (* x x))) x)

Compiler

Compiled 131 to 98 computations (25.2% saved)

sample0.0ms (0.0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
6369051672525773/4503599627370496
2
(sqrt 2)
(/ 2 (sqrt 2))

Outputs
#s(literal 6369051672525773/4503599627370496 binary64)
#s(literal 2 binary64)
#s(literal 6369051672525773/4503599627370496 binary64)
#s(literal 6369051672525773/4503599627370496 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 10 to 6 computations (40.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series36.0ms (2.1%)

Memory

-18.4MiB live, 30.8MiB allocated; 41ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	76

Stop Event

1×	iter-limit

Counts

13 → 8

Calls

Call 1

Inputs
x
#s(literal 6369051672525773/4503599627370496 binary64)
(*.f64 x #s(literal 6369051672525773/4503599627370496 binary64))
#s(approx (sqrt (* 2 (* x x))) (*.f64 x #s(literal 6369051672525773/4503599627370496 binary64)))
#s(approx (sqrt (* 2 (* x x))) x)
(fabs.f64 x)
(*.f64 #s(literal 6369051672525773/4503599627370496 binary64) (fabs.f64 x))
#s(literal 2 binary64)
(sqrt.f64 #s(literal 2 binary64))
(/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (* 2 (* x x))) (*.f64 x (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fabs.f64 x))

Outputs
#s(approx x x)
#s(approx (* x 6369051672525773/4503599627370496) (*.f64 #s(literal 6369051672525773/4503599627370496 binary64) x))
#s(approx (sqrt (* 2 (* x x))) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
#s(approx (fabs x) (fabs.f64 x))
#s(approx (* 6369051672525773/4503599627370496 (fabs x)) (*.f64 #s(literal 6369051672525773/4503599627370496 binary64) (fabs.f64 x)))
#s(approx (* x (/ 2 (sqrt 2))) (*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (/ 2 (sqrt 2)) (fabs x)) (*.f64 #s(literal 2 binary64) (/.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (sqrt (* 2 (* x x))) (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64)))))

Calls

3 calls:

Time	Variable	Point
3.0ms	x	0
2.0ms	x	-inf
2.0ms	x	inf

rewrite113.0ms (6.5%)

Memory

-4.7MiB live, 186.6MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	16	62
0	23	60
1	59	60
2	234	54
3	1058	51
0	4225	51

Stop Event

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

Counts

13 → 483

Calls

Call 1

Inputs
x
#s(literal 6369051672525773/4503599627370496 binary64)
(*.f64 x #s(literal 6369051672525773/4503599627370496 binary64))
#s(approx (sqrt (* 2 (* x x))) (*.f64 x #s(literal 6369051672525773/4503599627370496 binary64)))
#s(approx (sqrt (* 2 (* x x))) x)
(fabs.f64 x)
(*.f64 #s(literal 6369051672525773/4503599627370496 binary64) (fabs.f64 x))
#s(literal 2 binary64)
(sqrt.f64 #s(literal 2 binary64))
(/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (* 2 (* x x))) (*.f64 x (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fabs.f64 x))

Outputs
x
#s(literal 6369051672525773/4503599627370496 binary64)
(*.f64 #s(literal 6369051672525773/4503599627370496 binary64) x)
(*.f64 x #s(literal 6369051672525773/4503599627370496 binary64))
#s(approx (sqrt (* 2 (* x x))) (*.f64 #s(literal 6369051672525773/4503599627370496 binary64) x))
#s(approx (sqrt (* 2 (* x x))) x)
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(*.f64 (pow.f64 (fabs.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (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 (neg.f64 (fabs.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (fabs.f64 x)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
(.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (fabs.f64 x)) #s(literal 2 binary64))
(.f64 (.f64 #s(literal -2 binary64) (fabs.f64 x)) (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(.f64 (pow.f64 (.f64 (+.f64 x x) x) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 (+.f64 x x) x) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (.f64 #s(literal -2 binary64) x)))
(*.f64 (sqrt.f64 (fabs.f64 x)) (sqrt.f64 (fabs.f64 (+.f64 x x))))
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x)))
(*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x))
(.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (fabs.f64 x)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(.f64 #s(literal -1 binary64) (/.f64 (fabs.f64 x) (neg.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 (+.f64 x x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (+.f64 x x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)))
(.f64 (fabs.f64 (+.f64 x x)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (fabs.f64 (+.f64 x x)))
(.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
(.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(.f64 #s(literal -2 binary64) (.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) (fabs.f64 x)))
(*.f64 #s(literal -2 binary64) (/.f64 (neg.f64 (fabs.f64 x)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x))
(*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x)) (sqrt.f64 #s(literal 1 binary64)))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x)) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x)) #s(literal 1 binary64))
(.f64 #s(literal 2 binary64) (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (fabs.f64 x)))
(pow.f64 (.f64 (.f64 (+.f64 x x) x) (*.f64 (+.f64 x x) x)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (+.f64 x x) x) #s(literal 1/2 binary64))
(/.f64 (+.f64 (.f64 (.f64 #s(literal -1 binary64) (fabs.f64 x)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 #s(literal -1 binary64) (fabs.f64 x)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (.f64 (.f64 #s(literal -1 binary64) (fabs.f64 x)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (.f64 (.f64 #s(literal -1 binary64) (fabs.f64 x)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (fabs.f64 x) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) #s(literal -2 binary64))
(/.f64 (+.f64 (.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 x)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (.f64 (neg.f64 (fabs.f64 x)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (fabs.f64 x) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) #s(literal -2 binary64))
(/.f64 (+.f64 (.f64 (fabs.f64 x) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -2 binary64))
(/.f64 (+.f64 (.f64 (fabs.f64 x) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (neg.f64 (fabs.f64 x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -2 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (fabs.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (fabs.f64 x)) #s(literal 3 binary64))) (+.f64 (/.f64 (.f64 x x) #s(literal 2 binary64)) (-.f64 (/.f64 (.f64 x x) #s(literal 2 binary64)) (/.f64 (*.f64 x x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (/.f64 (.f64 x x) #s(literal 2 binary64)) (/.f64 (.f64 x x) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (fabs.f64 x)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (fabs.f64 x))))
(/.f64 (+.f64 (neg.f64 (fabs.f64 x)) (*.f64 #s(literal -1 binary64) (fabs.f64 x))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 x)) (neg.f64 (fabs.f64 x))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (+.f64 (.f64 (.f64 #s(literal -1 binary64) (fabs.f64 x)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal -1 binary64) (fabs.f64 x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (.f64 (.f64 #s(literal -1 binary64) (fabs.f64 x)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (fabs.f64 x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (.f64 (.f64 #s(literal -1 binary64) (fabs.f64 x)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (fabs.f64 x))) #s(literal -2 binary64))
(/.f64 (+.f64 (.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (fabs.f64 x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (fabs.f64 x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (.f64 (neg.f64 (fabs.f64 x)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (fabs.f64 x))) #s(literal -2 binary64))
(/.f64 (+.f64 (.f64 (fabs.f64 x) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (fabs.f64 x)))) #s(literal -2 binary64))
(/.f64 (+.f64 (.f64 (fabs.f64 x) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (fabs.f64 x)))) #s(literal -2 binary64))
(/.f64 (+.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 (fabs.f64 (+.f64 x x)) #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (fabs.f64 (+.f64 x x)) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 #s(literal -2 binary64) (fabs.f64 x)) (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal -2 binary64)))
(/.f64 (*.f64 #s(literal -2 binary64) (fabs.f64 x)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fabs.f64 (+.f64 x x)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) (fabs.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 (+.f64 x x))))
(neg.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (fabs.f64 x)))
(neg.f64 (*.f64 (fabs.f64 x) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(neg.f64 (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (fabs.f64 x)) #s(literal -2 binary64)))
(-.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (fabs.f64 x)) (/.f64 (neg.f64 (fabs.f64 x)) (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (.f64 (/.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 4 binary64)))
(sqrt.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 x x) #s(literal 2 binary64))))
(sqrt.f64 (*.f64 (+.f64 x x) x))
(fabs.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x))))))
(fabs.f64 (*.f64 (/.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) #s(literal -2 binary64)))
(fabs.f64 (*.f64 (/.f64 (neg.f64 (fabs.f64 x)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -2 binary64)))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (fabs.f64 x))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 x)))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fabs.f64 (*.f64 (neg.f64 x) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 x)) (sqrt.f64 #s(literal 2 binary64))))
(fabs.f64 (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
(fabs.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (fabs.f64 x))))
(fabs.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x)))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (fabs.f64 x)))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) x))
(fabs.f64 (*.f64 (fabs.f64 x) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fabs.f64 (*.f64 x (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fabs.f64 (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (fabs.f64 x)) #s(literal -2 binary64)))
(fabs.f64 (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) x) #s(literal -2 binary64)))
(fabs.f64 (neg.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x)))))
(fabs.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x))))
(fabs.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(fabs.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x)))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 x x) x)) #s(literal 1/2 binary64)))
(+.f64 (/.f64 (.f64 (fabs.f64 x) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 (fabs.f64 x) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (fabs.f64 x)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (fabs.f64 x)))

eval54.0ms (3.1%)

Memory: 34.0MiB live, 78.1MiB allocated; 9ms collecting garbage
Compiler: Compiled 8 578 to 1 367 computations (84.1% saved)

prune23.0ms (1.3%)

Memory

-11.8MiB live, 33.6MiB allocated; 6ms collecting garbage

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	545	3	548
Fresh	1	0	1
Picked	5	0	5
Done	-3	6	3
Total	548	9	557

Accuracy

100.0%

Counts

557 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(/.f64 (fabs.f64 (+.f64 x x)) (sqrt.f64 #s(literal 2 binary64)))
✓	99.6%	(*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x))
✓	0.0%	(.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) x)) (sqrt.f64 (neg.f64 x)))
✓	99.4%	(*.f64 #s(literal 6369051672525773/4503599627370496 binary64) (fabs.f64 x))
✓	59.8%	(sqrt.f64 (*.f64 (+.f64 x x) x))
▶	99.3%	#s(approx (sqrt (* 2 (* x x))) (/.f64 (+.f64 x x) (sqrt.f64 #s(literal 2 binary64))))
▶	99.4%	#s(approx (sqrt (* 2 (* x x))) (-.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) x) (/.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))))
✓	99.4%	#s(approx (sqrt (* 2 (* x x))) (*.f64 x #s(literal 6369051672525773/4503599627370496 binary64)))
✓	20.3%	#s(approx (sqrt (* 2 (* x x))) x)

Compiler

Compiled 82 to 64 computations (22.0% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs
2
(sqrt 2)
1/2
(* (sqrt 2) 1/2)

Outputs
#s(literal 2 binary64)
#s(literal 6369051672525773/4503599627370496 binary64)
#s(literal 1/2 binary64)
#s(literal 6369051672525773/9007199254740992 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 10 to 6 computations (40.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series13.0ms (0.8%)

Memory

-9.9MiB live, 36.5MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	178

Stop Event

1×	iter-limit

Counts

15 → 14

Calls

Call 1

Inputs
x
#s(literal 2 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 1/2 binary64)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) x)
(neg.f64 x)
(/.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(-.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) x) (/.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (* 2 (* x x))) (-.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) x) (/.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 x x)
(/.f64 (+.f64 x x) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (sqrt (* 2 (* x x))) (/.f64 (+.f64 x x) (sqrt.f64 #s(literal 2 binary64))))
(fabs.f64 (+.f64 x x))
(/.f64 (fabs.f64 (+.f64 x x)) (sqrt.f64 #s(literal 2 binary64)))

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

Calls

3 calls:

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

rewrite141.0ms (8.1%)

Memory

34.4MiB live, 272.5MiB allocated; 42ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	18	86
0	28	98
1	107	94
2	417	74
3	1733	60
0	4570	60

Stop Event

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

Counts

15 → 514

Calls

Call 1

Inputs
x
#s(literal 2 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 1/2 binary64)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) x)
(neg.f64 x)
(/.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(-.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) x) (/.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (* 2 (* x x))) (-.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) x) (/.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 x x)
(/.f64 (+.f64 x x) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (sqrt (* 2 (* x x))) (/.f64 (+.f64 x x) (sqrt.f64 #s(literal 2 binary64))))
(fabs.f64 (+.f64 x x))
(/.f64 (fabs.f64 (+.f64 x x)) (sqrt.f64 #s(literal 2 binary64)))

Outputs
x
#s(literal 2 binary64)
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))
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(*.f64 (pow.f64 (fabs.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 (/.f64 (+.f64 x x) #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1/2 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal -2 binary64) (fabs.f64 x)))
(.f64 (pow.f64 (.f64 (+.f64 x x) x) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 (+.f64 x x) x) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x)))
(*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x))
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 (+.f64 x x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (+.f64 x x) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (+.f64 x x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fabs.f64 (+.f64 x x)))
(.f64 #s(literal 1 binary64) (.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 #s(literal -2 binary64) (fabs.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (fabs.f64 x) (fabs.f64 (-.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (fabs.f64 x) (fabs.f64 (+.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (fabs.f64 x) (fabs.f64 (-.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (fabs.f64 x) (fabs.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (fabs.f64 x) (fabs.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (fabs.f64 x) (fabs.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (fabs.f64 x) (fabs.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (fabs.f64 x) (fabs.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (fabs.f64 (+.f64 x x)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (fabs.f64 (+.f64 x x)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 (fabs.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 (.f64 x x) #s(literal 1 binary64))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 (.f64 (+.f64 x x) x) #s(literal 2 binary64))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 (+.f64 x x) x) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x))
(.f64 (.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1 binary64)))
(.f64 (.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(.f64 #s(literal 2 binary64) (fabs.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) x))))
(.f64 #s(literal 2 binary64) (fabs.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) x)))
(pow.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 x x)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (+.f64 x x) x) #s(literal 1/2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal -2 binary64) (fabs.f64 x)) #s(literal 1 binary64))) (.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (fabs.f64 (+.f64 x x)) #s(literal -1 binary64))) (*.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal -1 binary64) (fabs.f64 (+.f64 x x)))) (*.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 (+.f64 x x)))) #s(literal 4 binary64))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal -2 binary64) (fabs.f64 x)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 (fabs.f64 (+.f64 x x)) #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 (+.f64 x x)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 (+.f64 x x)))) #s(literal -2 binary64))
(/.f64 (fabs.f64 (*.f64 (fabs.f64 (+.f64 x x)) #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (fabs.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 (+.f64 x x)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (fabs.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 (+.f64 x x)))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (*.f64 (+.f64 x x) #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (fabs.f64 (*.f64 #s(literal -1 binary64) (+.f64 x x))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (fabs.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 x x)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (fabs.f64 (+.f64 (.f64 (neg.f64 x) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (neg.f64 x) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (+.f64 (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) (.f64 x (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (+.f64 (.f64 x (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (+.f64 (.f64 (neg.f64 x) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 x)))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (+.f64 (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) x))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (+.f64 (.f64 x (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x)))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (-.f64 (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 x)))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (-.f64 (.f64 (neg.f64 x) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) x))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (-.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x)))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (-.f64 (.f64 x (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) x))) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (fabs.f64 x))) (*.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (neg.f64 (.f64 #s(literal 4 binary64) (.f64 x x)))) (sqrt.f64 #s(literal -2 binary64)))
(/.f64 (.f64 #s(literal 4 binary64) (fabs.f64 x)) (.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fabs.f64 (.f64 x #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 #s(literal -2 binary64) (fabs.f64 x)) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (fabs.f64 (+.f64 x x)) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 (+.f64 x x))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 (+.f64 x x))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) (fabs.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 (+.f64 x x))))
(/.f64 (*.f64 #s(literal -2 binary64) (fabs.f64 x)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fabs.f64 (+.f64 x x)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1 binary64)))
(neg.f64 (neg.f64 (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64)))))
(sqrt.f64 (*.f64 (+.f64 x x) x))
(fabs.f64 (-.f64 (.f64 (neg.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) x) (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) x)))
(fabs.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal -2 binary64) (fabs.f64 x))))
(fabs.f64 (.f64 #s(literal 1 binary64) (neg.f64 (.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64))))))
(fabs.f64 (.f64 #s(literal 1 binary64) (neg.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
(fabs.f64 (.f64 (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) x)))
(fabs.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) x)))
(fabs.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 x x)) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
(fabs.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 x x)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
(fabs.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 x x)) #s(literal -2 binary64)))
(fabs.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal -2 binary64) x)))
(fabs.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(fabs.f64 (neg.f64 (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64)))))
(fabs.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(fabs.f64 (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 x x) x)) #s(literal 1/2 binary64)))

eval43.0ms (2.5%)

Memory: 4.4MiB live, 93.8MiB allocated; 13ms collecting garbage
Compiler: Compiled 8 260 to 1 477 computations (82.1% saved)

prune11.0ms (0.6%)

Memory

-25.6MiB live, 20.6MiB allocated; 3ms collecting garbage

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	506	3	509
Fresh	0	0	0
Picked	3	0	3
Done	1	5	6
Total	510	8	518

Accuracy

100.0%

Counts

518 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.3%	(/.f64 (fabs.f64 (+.f64 x x)) #s(literal 6369051672525773/4503599627370496 binary64))
✓	0.0%	(.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) x)) (sqrt.f64 (neg.f64 x)))
✓	99.4%	(*.f64 #s(literal 6369051672525773/4503599627370496 binary64) (fabs.f64 x))
✓	59.8%	(sqrt.f64 (*.f64 (+.f64 x x) x))
	99.3%	#s(approx (sqrt (* 2 (* x x))) (/.f64 (+.f64 x x) #s(literal 6369051672525773/4503599627370496 binary64)))
	99.4%	#s(approx (sqrt (* 2 (* x x))) (-.f64 (.f64 (.f64 #s(literal 6369051672525773/4503599627370496 binary64) #s(literal 1/2 binary64)) x) (/.f64 (neg.f64 x) #s(literal 6369051672525773/4503599627370496 binary64))))
✓	99.4%	#s(approx (sqrt (* 2 (* x x))) (*.f64 x #s(literal 6369051672525773/4503599627370496 binary64)))
✓	20.3%	#s(approx (sqrt (* 2 (* x x))) x)

Compiler

Compiled 71 to 56 computations (21.1% saved)

regimes100.0ms (5.8%)

Memory

4.2MiB live, 115.5MiB allocated; 32ms collecting garbage

Counts

1 → 1

11 → 1

13 → 1

19 → 1

Calls

Call 1

Inputs
#s(approx (sqrt (* 2 (* x x))) x)

Outputs
#s(approx (sqrt (* 2 (* x x))) x)

Call 2

Inputs
#s(approx (sqrt (* 2 (* x x))) x)
#s(approx (sqrt (* 2 (* x x))) (*.f64 x #s(literal 6369051672525773/4503599627370496 binary64)))
(*.f64 #s(literal 6369051672525773/4503599627370496 binary64) (fabs.f64 x))
#s(approx (sqrt (* 2 (* x x))) (/.f64 (+.f64 x x) #s(literal 6369051672525773/4503599627370496 binary64)))
#s(approx (sqrt (* 2 (* x x))) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fabs.f64 (+.f64 x x)) #s(literal 6369051672525773/4503599627370496 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x))
(sqrt.f64 (*.f64 (+.f64 x x) x))
(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))
#s(approx (sqrt (* 2 (* x x))) (/.f64 (+.f64 x x) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (* 2 (* x x))) (*.f64 x (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))))

Outputs
#s(approx (sqrt (* 2 (* x x))) (*.f64 x #s(literal 6369051672525773/4503599627370496 binary64)))

Call 3

Inputs
#s(approx (sqrt (* 2 (* x x))) x)
#s(approx (sqrt (* 2 (* x x))) (*.f64 x #s(literal 6369051672525773/4503599627370496 binary64)))
(*.f64 #s(literal 6369051672525773/4503599627370496 binary64) (fabs.f64 x))
#s(approx (sqrt (* 2 (* x x))) (/.f64 (+.f64 x x) #s(literal 6369051672525773/4503599627370496 binary64)))
#s(approx (sqrt (* 2 (* x x))) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fabs.f64 (+.f64 x x)) #s(literal 6369051672525773/4503599627370496 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x))
(sqrt.f64 (*.f64 (+.f64 x x) x))
(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))
#s(approx (sqrt (* 2 (* x x))) (/.f64 (+.f64 x x) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (* 2 (* x x))) (*.f64 x (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (sqrt (* 2 (* x x))) (-.f64 (.f64 (.f64 #s(literal 6369051672525773/4503599627370496 binary64) #s(literal 1/2 binary64)) x) (/.f64 (neg.f64 x) #s(literal 6369051672525773/4503599627370496 binary64))))
(/.f64 (fabs.f64 (+.f64 x x)) (sqrt.f64 #s(literal 2 binary64)))

Outputs

#s(approx (sqrt (* 2 (* x x))) (-.f64 (*.f64 (*.f64 #s(literal 6369051672525773/4503599627370496 binary64) #s(literal 1/2 binary64)) x) (/.f64 (neg.f64 x) #s(literal 6369051672525773/4503599627370496 binary64))))

Call 4

Inputs
#s(approx (sqrt (* 2 (* x x))) x)
#s(approx (sqrt (* 2 (* x x))) (*.f64 x #s(literal 6369051672525773/4503599627370496 binary64)))
(*.f64 #s(literal 6369051672525773/4503599627370496 binary64) (fabs.f64 x))
#s(approx (sqrt (* 2 (* x x))) (/.f64 (+.f64 x x) #s(literal 6369051672525773/4503599627370496 binary64)))
#s(approx (sqrt (* 2 (* x x))) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fabs.f64 (+.f64 x x)) #s(literal 6369051672525773/4503599627370496 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x))
(sqrt.f64 (*.f64 (+.f64 x x) x))
(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))
#s(approx (sqrt (* 2 (* x x))) (/.f64 (+.f64 x x) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (* 2 (* x x))) (*.f64 x (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (sqrt (* 2 (* x x))) (-.f64 (.f64 (.f64 #s(literal 6369051672525773/4503599627370496 binary64) #s(literal 1/2 binary64)) x) (/.f64 (neg.f64 x) #s(literal 6369051672525773/4503599627370496 binary64))))
(/.f64 (fabs.f64 (+.f64 x x)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x))
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fabs.f64 x))
(.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) x)) (sqrt.f64 (neg.f64 x)))
(/.f64 (sqrt.f64 (.f64 (.f64 (+.f64 x x) x) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (sqrt (* 2 (* x x))) (-.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) x) (/.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64)))))

Outputs
(*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x))

Calls

16 calls:

46.0ms	(.f64 #s(literal 2 binary64) (.f64 x x))
6.0ms	x
5.0ms	x
5.0ms	(*.f64 x x)
5.0ms	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))

Results

Accuracy	Segments	Branch
20.3%	1	`(*.f64 x x)`
20.3%	1	`(.f64 #s(literal 2 binary64) (.f64 x x))`
20.3%	1	`(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))`
20.3%	1	`x`
99.4%	1	`(*.f64 x x)`
99.4%	1	`(.f64 #s(literal 2 binary64) (.f64 x x))`
99.4%	1	`(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))`
99.4%	1	`x`
99.4%	1	`(*.f64 x x)`
99.4%	1	`(.f64 #s(literal 2 binary64) (.f64 x x))`
99.4%	1	`(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))`
99.4%	1	`x`
99.6%	1	`(*.f64 x x)`
99.6%	1	`(.f64 #s(literal 2 binary64) (.f64 x x))`
99.6%	1	`(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))`
99.6%	1	`x`

Compiler

Compiled 243 to 107 computations (56.0% saved)

derivations145.0ms (8.4%)

Memory

-23.9MiB live, 69.5MiB allocated; 5ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 42 to 20 computations (52.4% saved)

preprocess22.0ms (1.2%)

Memory: -0.1MiB live, 49.6MiB allocated; 6ms collecting garbage
Symmetry: (abs x)
Compiler: Compiled 145 to 90 computations (37.9% saved)

end0.0ms (0.0%)

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

start0.0ms (0.0%)

analyze9.0ms (0.5%)

sample712.0ms (41.1%)

preprocess34.0ms (1.9%)

sample0.0ms (0.0%)

series20.0ms (1.1%)

rewrite118.0ms (6.8%)

eval44.0ms (2.5%)

prune9.0ms (0.5%)

sample0.0ms (0.0%)

series17.0ms (1.0%)

rewrite52.0ms (3.0%)

eval12.0ms (0.7%)

prune6.0ms (0.3%)

sample0.0ms (0.0%)

series36.0ms (2.1%)

rewrite113.0ms (6.5%)

eval54.0ms (3.1%)

prune23.0ms (1.3%)

sample0.0ms (0.0%)

series13.0ms (0.8%)

rewrite141.0ms (8.1%)

eval43.0ms (2.5%)

prune11.0ms (0.6%)

regimes100.0ms (5.8%)

derivations145.0ms (8.4%)

preprocess22.0ms (1.2%)

end0.0ms (0.0%)

Profiling