Metrics for sqrt D (should all be same)

start0.0ms (0.0%)

Memory: 0.2MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0.0%)

Memory

1.6MiB live, 1.6MiB allocated; 0ms 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
100.0%	100.0%	0.0%	0.0%	0.0%	0.0%	0.0%	1

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample631.0ms (36.9%)

Memory

0.2MiB live, 1 073.2MiB allocated; 204ms collecting garbage

Samples

454.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 283.0ms

ival-sqrt: 123.0ms (43.5% of total)

ival-pow2: 104.0ms (36.7% of total)

ival-mult!: 54.0ms (19.1% of total)

adjust: 2.0ms (0.7% of total)

Bogosity

preprocess33.0ms (1.9%)

Memory

-23.7MiB live, 22.0MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	23	19
2	69	19
3	240	19
4	877	19

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.8%	(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))

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)

series13.0ms (0.7%)

Memory

29.6MiB live, 29.6MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	45

Stop Event

1×	iter-limit

Counts

5 → 5

Calls

Call 1

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

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

Calls

3 calls:

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

rewrite129.0ms (7.5%)

Memory

-25.5MiB live, 212.8MiB allocated; 27ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	16
0	8	16
1	25	16
2	91	16
3	312	16
4	1275	16
0	4051	15

Stop Event

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

Counts

5 → 566

Calls

Call 1

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

Outputs
#s(literal 2 binary64)
x
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 #s(literal 1/2 binary64) (.f64 x x)))) (.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) #s(literal 0 binary64)) (.f64 x x))) (*.f64 x x))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 x x))) (*.f64 x x))
(*.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 (/.f64 (.f64 #s(literal 2 binary64) (neg.f64 (fabs.f64 x))) #s(literal 4 binary64)) (/.f64 (neg.f64 (fabs.f64 x)) #s(literal 1/2 binary64)))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) (neg.f64 (fabs.f64 x))) #s(literal 1 binary64)) (/.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) (neg.f64 (fabs.f64 x))) #s(literal 1/2 binary64)) (/.f64 (neg.f64 (fabs.f64 x)) #s(literal 4 binary64)))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) (neg.f64 (fabs.f64 x))) #s(literal 2 binary64)) (/.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (*.f64 (+.f64 x x) x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64))
(.f64 (/.f64 (.f64 (*.f64 (+.f64 x x) x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/8 binary64))
(.f64 (/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 4 binary64)) (/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
(.f64 (/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 4 binary64)) (/.f64 (neg.f64 (.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(.f64 (/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1 binary64)) (/.f64 (neg.f64 (.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64)) (/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 4 binary64)))
(.f64 (/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64)) (/.f64 (neg.f64 (.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 4 binary64)))
(.f64 (/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 2 binary64)) (/.f64 (neg.f64 (.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(.f64 (/.f64 (neg.f64 (fabs.f64 x)) #s(literal 4 binary64)) (/.f64 (.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (neg.f64 (fabs.f64 x)) #s(literal 4 binary64)) (/.f64 (+.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x))) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (neg.f64 (fabs.f64 x)) #s(literal 4 binary64)) (/.f64 (-.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x)) #s(literal 1/2 binary64)))
(.f64 (/.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (/.f64 (.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(*.f64 (/.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (/.f64 (+.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x))) #s(literal 2 binary64)))
(*.f64 (/.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (/.f64 (-.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x)) #s(literal 2 binary64)))
(.f64 (/.f64 (neg.f64 (fabs.f64 x)) #s(literal 1/2 binary64)) (/.f64 (.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64)) #s(literal 4 binary64)))
(*.f64 (/.f64 (neg.f64 (fabs.f64 x)) #s(literal 1/2 binary64)) (/.f64 (+.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x))) #s(literal 4 binary64)))
(*.f64 (/.f64 (neg.f64 (fabs.f64 x)) #s(literal 1/2 binary64)) (/.f64 (-.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x)) #s(literal 4 binary64)))
(.f64 (/.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64)) (/.f64 (.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64)) (/.f64 (+.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x))) #s(literal 1 binary64)))
(*.f64 (/.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64)) (/.f64 (-.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x)) #s(literal 1 binary64)))
(*.f64 (/.f64 (fabs.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (/.f64 (fabs.f64 x) #s(literal 4 binary64)))
(*.f64 (/.f64 (fabs.f64 x) #s(literal 4 binary64)) (/.f64 (fabs.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x))
(.f64 (/.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (.f64 (fabs.f64 x) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (fabs.f64 (+.f64 x x)) #s(literal 1 binary64)) (/.f64 (fabs.f64 x) #s(literal 2 binary64)))
(*.f64 (/.f64 (-.f64 (neg.f64 x) x) #s(literal 1/2 binary64)) (/.f64 (neg.f64 x) #s(literal 4 binary64)))
(*.f64 (/.f64 (neg.f64 x) #s(literal 4 binary64)) (/.f64 (-.f64 (neg.f64 x) x) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 x))
(.f64 (/.f64 (neg.f64 x) #s(literal 1/2 binary64)) (.f64 (neg.f64 x) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (-.f64 (neg.f64 x) x) #s(literal 1 binary64)) (/.f64 (neg.f64 x) #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 (neg.f64 (.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (/.f64 (.f64 (neg.f64 (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 4 binary64)))
(.f64 (/.f64 (.f64 (neg.f64 (.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)) (/.f64 (.f64 (neg.f64 (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (neg.f64 (.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 4 binary64)) (/.f64 (.f64 (neg.f64 (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(.f64 (/.f64 (.f64 (neg.f64 (.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (.f64 (neg.f64 (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(.f64 (/.f64 (neg.f64 (.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 4 binary64)) (/.f64 (.f64 (neg.f64 (.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(.f64 (/.f64 (neg.f64 (.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 4 binary64)) (/.f64 (neg.f64 (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(.f64 (/.f64 (neg.f64 (.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (/.f64 (.f64 (neg.f64 (.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 4 binary64)))
(.f64 (/.f64 (neg.f64 (.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (/.f64 (neg.f64 (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 4 binary64)))
(.f64 (/.f64 (neg.f64 (.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 (.f64 (neg.f64 (.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(.f64 (/.f64 (neg.f64 (.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 (neg.f64 (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))
(.f64 (/.f64 (neg.f64 (.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (.f64 (neg.f64 (.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (neg.f64 (.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (neg.f64 (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64))) #s(literal 4 binary64)) (/.f64 (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(.f64 (/.f64 (.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) (/.f64 (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64))) #s(literal 4 binary64)))
(.f64 (/.f64 (.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (+.f64 x x) x) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(.f64 (/.f64 (.f64 (+.f64 x x) x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))
(*.f64 (/.f64 (+.f64 x x) #s(literal 1/2 binary64)) (/.f64 x #s(literal 4 binary64)))
(*.f64 (/.f64 x #s(literal 4 binary64)) (/.f64 (+.f64 x x) #s(literal 1/2 binary64)))
(*.f64 (/.f64 x #s(literal 1 binary64)) x)
(.f64 (/.f64 x #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) x))
(*.f64 (/.f64 (+.f64 x x) #s(literal 1 binary64)) (/.f64 x #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal 4 binary64))
(.f64 (/.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 (fabs.f64 x) #s(literal 2 binary64)) (/.f64 (fabs.f64 (+.f64 x x)) #s(literal 1 binary64)))
(*.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 x x) #s(literal 1 binary64)))
(*.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64)) (/.f64 (-.f64 (neg.f64 x) x) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64))
(.f64 (neg.f64 (.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x)))) (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x)))))
(.f64 (neg.f64 (.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64))) (neg.f64 (*.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64))))
(*.f64 (neg.f64 (neg.f64 (neg.f64 (fabs.f64 x)))) (neg.f64 (neg.f64 (neg.f64 (fabs.f64 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 x x) #s(literal 0 binary64)) (*.f64 x x))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x))) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x))) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (pow.f64 (.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) #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 (neg.f64 (neg.f64 (fabs.f64 x))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (neg.f64 (fabs.f64 x))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (neg.f64 (fabs.f64 x))) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.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 #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 (fabs.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 2 binary64)) (pow.f64 (.f64 (neg.f64 x) #s(literal 1/2 binary64)) #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 (neg.f64 x) #s(literal 1/2 binary64)) (/.f64 (neg.f64 x) #s(literal 1/2 binary64)))
(.f64 (.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (/.f64 (fabs.f64 x) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 x #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 2 binary64))
(.f64 (.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1 binary64) (fabs.f64 x)))
(.f64 (.f64 #s(literal -1 binary64) (neg.f64 x)) (*.f64 #s(literal -1 binary64) (neg.f64 x)))
(.f64 (.f64 (neg.f64 x) #s(literal -1 binary64)) (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(.f64 (.f64 (fabs.f64 x) #s(literal -1 binary64)) (*.f64 (fabs.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) 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 (.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x))) (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x))))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)))
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eval55.0ms (3.2%)

Memory: 35.8MiB live, 123.8MiB allocated; 15ms collecting garbage
Compiler: Compiled 7 836 to 1 793 computations (77.1% saved)

prune13.0ms (0.8%)

Memory

-13.2MiB live, 33.2MiB allocated; 3ms collecting garbage

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	560	7	567
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	561	7	568

Accuracy

99.9%

Counts

568 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.5%	(/.f64 (sqrt.f64 (.f64 (.f64 (+.f64 x x) x) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
▶	0.0%	(*.f64 (sqrt.f64 (-.f64 (neg.f64 x) x)) (sqrt.f64 (neg.f64 x)))
▶	99.4%	(*.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)))))
▶	99.3%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x))
▶	56.8%	(sqrt.f64 (*.f64 (+.f64 x x) x))
▶	99.3%	#s(approx (sqrt (* 2 (pow x 2))) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))

Compiler

Compiled 124 to 88 computations (29.0% saved)

sample0.0ms (0.0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
2
(sqrt 2)

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

Samples

0.0ms

1×

valid

Compiler

Compiled 5 to 4 computations (20.0% 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

-19.9MiB live, 34.4MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	275

Stop Event

1×	iter-limit

Counts

18 → 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 (pow x 2))) (*.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))
(neg.f64 x)
(-.f64 (neg.f64 x) x)
(sqrt.f64 (-.f64 (neg.f64 x) x))
(sqrt.f64 (neg.f64 x))
(*.f64 (sqrt.f64 (-.f64 (neg.f64 x) 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 (neg x) (*.f64 #s(literal -1 binary64) x))
#s(approx (- (neg x) x) (*.f64 #s(literal -2 binary64) x))
#s(approx (sqrt (- (neg x) x)) (sqrt.f64 (*.f64 #s(literal -2 binary64) x)))
#s(approx (sqrt (neg x)) (sqrt.f64 (*.f64 #s(literal -1 binary64) x)))
#s(approx (* (sqrt (- (neg x) 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 (- (neg x) 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 (- (neg x) 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 (pow x 2))) (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (sqrt (- (neg x) 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
3.0ms	x	0
2.0ms	x	inf
2.0ms	x	-inf

rewrite60.0ms (3.5%)

Memory

26.9MiB live, 120.3MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	21	76
0	36	29
1	106	28
2	275	27
3	831	21
4	2395	21
0	4058	21

Stop Event

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

Counts

18 → 102

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 (pow x 2))) (*.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))
(neg.f64 x)
(-.f64 (neg.f64 x) x)
(sqrt.f64 (-.f64 (neg.f64 x) x))
(sqrt.f64 (neg.f64 x))
(*.f64 (sqrt.f64 (-.f64 (neg.f64 x) 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 #s(literal 4 binary64) (/.f64 #s(literal 1/4 binary64) #s(literal 2 binary64))) (pow.f64 #s(literal 4 binary64) (/.f64 #s(literal 1/4 binary64) #s(literal 2 binary64))))
(.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 #s(literal 8 binary64)) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #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 #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 -2 binary64) #s(literal 1/4 binary64)) (pow.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 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 #s(literal 8 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 #s(literal 4 binary64) #s(literal 1/2 binary64)) (pow.f64 #s(literal 1/2 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 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 4 binary64)))
(.f64 (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 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 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 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) #s(literal 1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 1/2 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 16 binary64) #s(literal 1/8 binary64))
(pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (sqrt.f64 #s(literal 8 binary64)) (sqrt.f64 #s(literal 4 binary64)))
(/.f64 (sqrt.f64 #s(literal 8 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal -2 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1 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))) (sqrt.f64 #s(literal 2 binary64)))))
(cosh.f64 (asinh.f64 #s(literal -1 binary64)))
(cosh.f64 (asinh.f64 #s(literal 1 binary64)))
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 x (sqrt.f64 #s(literal 1/2 binary64))))
(sqrt.f64 #s(literal 2 binary64))
(fabs.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fabs.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64)))
(fabs.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)))
(fabs.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
(fabs.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)))
(fabs.f64 (/.f64 #s(literal -2 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)))
(+.f64 (/.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(+.f64 (sqrt.f64 #s(literal 2 binary64)) x)
x
#s(literal 0 binary64)
#s(approx (sqrt (* 2 (pow x 2))) x)
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)
x
#s(literal 0 binary64)
x
#s(literal 0 binary64)
x
#s(literal 0 binary64)
x
#s(literal 0 binary64)

eval15.0ms (0.8%)

Memory: -9.0MiB live, 32.6MiB allocated; 4ms collecting garbage
Compiler: Compiled 2 295 to 493 computations (78.5% saved)

prune6.0ms (0.4%)

Memory

24.3MiB live, 24.3MiB allocated; 0ms collecting garbage

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	174	7	181
Fresh	2	0	2
Picked	5	0	5
Done	-3	3	0
Total	178	10	188

Accuracy

100.0%

Counts

188 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.2%	(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fabs.f64 x))
✓	0.0%	(*.f64 (sqrt.f64 (-.f64 (neg.f64 x) x)) (sqrt.f64 (neg.f64 x)))
	0.0%	(.f64 (sqrt.f64 (-.f64 (neg.f64 x) x)) #s(approx (sqrt (neg x)) (.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))))
✓	99.4%	(*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x))
▶	99.4%	(.f64 #s(approx (sqrt (+ x x)) (.f64 x (sqrt.f64 (/.f64 #s(literal 2 binary64) x)))) (sqrt.f64 x))
▶	99.3%	(*.f64 #s(literal 6369051672525773/4503599627370496 binary64) (fabs.f64 x))
✓	56.8%	(sqrt.f64 (*.f64 (+.f64 x x) x))
▶	99.2%	#s(approx (sqrt (* 2 (pow x 2))) (*.f64 x (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
▶	99.3%	#s(approx (sqrt (* 2 (pow x 2))) (*.f64 x #s(literal 6369051672525773/4503599627370496 binary64)))
▶	20.3%	#s(approx (sqrt (* 2 (pow x 2))) x)

Compiler

Compiled 170 to 129 computations (24.1% saved)

sample0.0ms (0.0%)

Memory

1.6MiB live, 1.6MiB allocated; 0ms collecting garbage

Calls

Call 1

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

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

series41.0ms (2.4%)

Memory

-5.4MiB live, 45.9MiB allocated; 37ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	186

Stop Event

1×	iter-limit

Counts

18 → 18

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable	Point
29.0ms	x	0
4.0ms	x	inf
3.0ms	x	-inf

rewrite167.0ms (9.7%)

Memory

-22.8MiB live, 212.7MiB allocated; 84ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	23	95
0	34	91
1	98	91
2	280	87
3	942	81
0	4166	81

Stop Event

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

Counts

18 → 621

Calls

Call 1

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

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

eval43.0ms (2.5%)

Memory: 28.6MiB live, 73.4MiB allocated; 6ms collecting garbage
Compiler: Compiled 10 783 to 2 382 computations (77.9% saved)

prune33.0ms (1.9%)

Memory

-29.2MiB live, 17.1MiB allocated; 3ms collecting garbage

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	518	2	520
Fresh	0	2	2
Picked	5	0	5
Done	-2	5	3
Total	521	9	530

Accuracy

100.0%

Counts

530 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fabs.f64 x))
✓	0.0%	(*.f64 (sqrt.f64 (-.f64 (neg.f64 x) x)) (sqrt.f64 (neg.f64 x)))
▶	0.0%	(.f64 (sqrt.f64 (-.f64 (neg.f64 x) x)) #s(approx (sqrt (neg x)) (.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))))
✓	99.3%	(*.f64 #s(literal 6369051672525773/4503599627370496 binary64) (fabs.f64 x))
✓	56.8%	(sqrt.f64 (*.f64 (+.f64 x x) x))
▶	99.4%	#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (+.f64 x x) (sqrt.f64 #s(literal 2 binary64))))
▶	99.3%	#s(approx (sqrt (* 2 (pow x 2))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 x x))))
✓	99.3%	#s(approx (sqrt (* 2 (pow x 2))) (*.f64 x #s(literal 6369051672525773/4503599627370496 binary64)))
✓	20.3%	#s(approx (sqrt (* 2 (pow x 2))) x)

Compiler

Compiled 90 to 69 computations (23.3% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs
1
2
(sqrt 2)
-1
(/ 2 (sqrt 2))

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

Samples

0.0ms

1×

valid

Compiler

Compiled 11 to 7 computations (36.4% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series15.0ms (0.9%)

Memory

24.0MiB live, 24.0MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	257

Stop Event

1×	iter-limit

Counts

23 → 22

Calls

Call 1

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

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

Calls

3 calls:

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

rewrite142.0ms (8.3%)

Memory

-20.4MiB live, 269.8MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	132
0	44	123
1	149	120
2	465	109
3	1865	106
0	4387	92

Stop Event

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

Counts

23 → 1 078

Calls

Call 1

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

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

eval109.0ms (6.4%)

Memory: 22.8MiB live, 161.1MiB allocated; 51ms collecting garbage
Compiler: Compiled 19 748 to 3 630 computations (81.6% saved)

prune21.0ms (1.2%)

Memory

-23.3MiB live, 25.3MiB allocated; 5ms collecting garbage

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	1 043	4	1 047
Fresh	0	0	0
Picked	4	0	4
Done	1	4	5
Total	1 048	8	1 056

Accuracy

100.0%

Counts

1 056 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	2.3%	(/.f64 (+.f64 x x) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
	99.2%	(*.f64 (/.f64 #s(literal 2 binary64) #s(literal 6369051672525773/4503599627370496 binary64)) (fabs.f64 x))
✓	99.3%	(*.f64 #s(literal 6369051672525773/4503599627370496 binary64) (fabs.f64 x))
✓	56.8%	(sqrt.f64 (*.f64 (+.f64 x x) x))
	99.4%	#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (+.f64 x x) #s(literal 6369051672525773/4503599627370496 binary64)))
	99.3%	#s(approx (sqrt (* 2 (pow x 2))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6369051672525773/4503599627370496 binary64) (+.f64 x x))))
✓	99.3%	#s(approx (sqrt (* 2 (pow x 2))) (*.f64 x #s(literal 6369051672525773/4503599627370496 binary64)))
✓	20.3%	#s(approx (sqrt (* 2 (pow x 2))) x)

Compiler

Compiled 67 to 54 computations (19.4% saved)

regimes54.0ms (3.1%)

Memory

14.1MiB live, 106.6MiB allocated; 4ms collecting garbage

Counts

1 → 1

3 → 1

12 → 1

21 → 1

Calls

Call 1

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

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

Call 2

Inputs

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

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

(*.f64 #s(literal 6369051672525773/4503599627370496 binary64) (fabs.f64 x))

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

Call 3

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

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

Call 4

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

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

Calls

16 calls:

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

Results

Accuracy	Segments	Branch
20.3%	1	`(pow.f64 x #s(literal 2 binary64))`
20.3%	1	`(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))`
20.3%	1	`(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))`
20.3%	1	`x`
99.3%	1	`(pow.f64 x #s(literal 2 binary64))`
99.3%	1	`(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))`
99.3%	1	`(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))`
99.3%	1	`x`
99.4%	1	`(pow.f64 x #s(literal 2 binary64))`
99.4%	1	`(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))`
99.4%	1	`(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))`
99.4%	1	`x`
99.4%	1	`(pow.f64 x #s(literal 2 binary64))`
99.4%	1	`(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))`
99.4%	1	`(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))`
99.4%	1	`x`

Compiler

Compiled 269 to 123 computations (54.3% saved)

derivations75.0ms (4.4%)

Memory

-8.8MiB live, 85.6MiB allocated; 17ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 37 to 15 computations (59.5% saved)

preprocess39.0ms (2.3%)

Memory: 41.5MiB live, 87.0MiB allocated; 6ms collecting garbage
Symmetry: (abs x)
Compiler: Compiled 127 to 77 computations (39.4% saved)

end0.0ms (0.0%)

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

start0.0ms (0.0%)

analyze0.0ms (0.0%)

sample631.0ms (36.9%)

preprocess33.0ms (1.9%)

sample0.0ms (0.0%)

series13.0ms (0.7%)

rewrite129.0ms (7.5%)

eval55.0ms (3.2%)

prune13.0ms (0.8%)

sample0.0ms (0.0%)

series17.0ms (1.0%)

rewrite60.0ms (3.5%)

eval15.0ms (0.8%)

prune6.0ms (0.4%)

sample0.0ms (0.0%)

series41.0ms (2.4%)

rewrite167.0ms (9.7%)

eval43.0ms (2.5%)

prune33.0ms (1.9%)

sample0.0ms (0.0%)

series15.0ms (0.9%)

rewrite142.0ms (8.3%)

eval109.0ms (6.4%)

prune21.0ms (1.2%)

regimes54.0ms (3.1%)

derivations75.0ms (4.4%)

preprocess39.0ms (2.3%)

end0.0ms (0.0%)

Profiling