Metrics for sqrt E (should all be same)

start0.0ms (0.0%)

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

analyze0.0ms (0.0%)

Memory

0.5MiB live, 0.5MiB 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 10 to 6 computations (40.0% saved)

sample799.0ms (34.1%)

Memory

40.3MiB live, 776.2MiB allocated; 874ms collecting garbage

Samples

626.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 490.0ms

ival-sqrt: 304.0ms (62.1% of total)

ival-pow2: 149.0ms (30.4% of total)

ival-add!: 35.0ms (7.1% of total)

adjust: 1.0ms (0.2% of total)

Bogosity

preprocess76.0ms (3.2%)

Memory

-15.4MiB live, 29.2MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	25	19
2	72	19
3	189	19
4	609	19
5	3566	19

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.4%	(sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))

Symmetry

(abs x)

Compiler

Compiled 16 to 10 computations (37.5% 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)

series8.0ms (0.3%)

Memory

15.7MiB live, 15.7MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	51

Stop Event

1×	iter-limit

Counts

5 → 5

Calls

Call 1

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

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

rewrite246.0ms (10.5%)

Memory

-19.6MiB live, 322.8MiB allocated; 77ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	20
0	8	16
1	35	16
2	101	16
3	262	16
4	996	16
0	4106	13

Stop Event

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

Counts

5 → 2 978

Calls

Call 1

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

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

eval394.0ms (16.8%)

Memory: 37.8MiB live, 637.1MiB allocated; 125ms collecting garbage
Compiler: Compiled 54 290 to 5 877 computations (89.2% saved)

prune58.0ms (2.5%)

Memory

-13.5MiB live, 128.7MiB allocated; 22ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	2 974	6	2 980
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	2 975	6	2 981

Accuracy

100.0%

Counts

2 981 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(hypot.f64 x x)
▶	99.5%	(*.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 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x))
▶	56.4%	(sqrt.f64 (*.f64 (+.f64 x x) x))
▶	99.4%	#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))

Compiler

Compiled 84 to 64 computations (23.8% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs
(sqrt 2)
2

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

series10.0ms (0.4%)

Memory

18.8MiB live, 18.8MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	149

Stop Event

1×	iter-limit

Counts

14 → 15

Calls

Call 1

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

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

Calls

3 calls:

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

rewrite160.0ms (6.8%)

Memory

4.4MiB live, 191.9MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	58
0	30	42
1	94	42
2	265	41
3	801	41
4	3052	41
0	4505	41

Stop Event

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

Counts

14 → 1 183

Calls

Call 1

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

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

eval90.0ms (3.8%)

Memory: 12.5MiB live, 194.6MiB allocated; 31ms collecting garbage
Compiler: Compiled 14 460 to 2 464 computations (83.0% saved)

prune19.0ms (0.8%)

Memory

1.4MiB live, 46.3MiB allocated; 6ms collecting garbage

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	948	4	952
Fresh	0	1	1
Picked	2	3	5
Done	0	0	0
Total	950	8	958

Accuracy

100.0%

Counts

958 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(hypot.f64 x x)
▶	99.1%	(.f64 (.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) (fabs.f64 x))
✓	99.5%	(*.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)))
▶	99.3%	(.f64 #s(approx (sqrt (+ x x)) (.f64 x (sqrt.f64 (/.f64 #s(literal 2 binary64) x)))) (sqrt.f64 x))
▶	99.4%	(*.f64 #s(literal 6369051672525773/4503599627370496 binary64) (fabs.f64 x))
✓	56.4%	(sqrt.f64 (*.f64 (+.f64 x x) x))
▶	99.4%	#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.f64 x #s(literal 6369051672525773/4503599627370496 binary64)))

Compiler

Compiled 112 to 83 computations (25.9% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

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

Outputs
#s(literal 6369051672525773/4503599627370496 binary64)
#s(literal -2 binary64)
#s(literal 2 binary64)
#s(literal 6369051672525773/4503599627370496 binary64)
#s(literal 5355712719992597/4503599627370496 binary64)
#s(literal 6369051672525773/4503599627370496 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 17 to 8 computations (52.9% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series18.0ms (0.8%)

Memory

-7.6MiB live, 36.9MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	85	308

Stop Event

1×	iter-limit

Counts

23 → 28

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable	Point
7.0ms	x	-inf
4.0ms	x	inf
3.0ms	x	0

rewrite128.0ms (5.5%)

Memory

-15.9MiB live, 190.8MiB allocated; 37ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	107
0	45	94
1	130	93
2	389	84
3	1902	84
0	4501	81

Stop Event

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

Counts

23 → 880

Calls

Call 1

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

Outputs
#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.f64 #s(literal 6369051672525773/4503599627370496 binary64) x))
(*.f64 #s(literal 6369051672525773/4503599627370496 binary64) x)
(*.f64 x #s(literal 6369051672525773/4503599627370496 binary64))
x
#s(literal 6369051672525773/4503599627370496 binary64)
(*.f64 #s(literal 6369051672525773/4503599627370496 binary64) x)
(*.f64 x #s(literal 6369051672525773/4503599627370496 binary64))
x
(.f64 (sqrt.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) x))) (sqrt.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (sqrt.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))) (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) x)))
(.f64 (sqrt.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) x)))
(.f64 (sqrt.f64 (.f64 (*.f64 x x) (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (sqrt.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (sqrt.f64 (.f64 (*.f64 x x) (sqrt.f64 (sqrt.f64 #s(literal 8 binary64))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (.f64 (*.f64 x x) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (.f64 (*.f64 x x) (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))) (sqrt.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 8 binary64))))))
(.f64 (sqrt.f64 (.f64 (*.f64 x x) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 #s(literal 8 binary64)))))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) x)) (sqrt.f64 (.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) x)) (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
(.f64 (pow.f64 (.f64 (-.f64 x x) x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (-.f64 x x) x) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) x)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) x)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64)) (pow.f64 (.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) x) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) x) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 x x) (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 8 binary64))))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 x x) (sqrt.f64 (sqrt.f64 #s(literal 8 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 x x) (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 (*.f64 x x) (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 8 binary64)))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 x x) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 8 binary64))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) x) #s(literal 1/2 binary64)) (pow.f64 (.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) x) #s(literal 1/2 binary64)) (pow.f64 (.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #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 (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 x x))))
(.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 8 binary64))))) (sqrt.f64 (.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 #s(literal 8 binary64)))) (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 x x))))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 8 binary64))) #s(literal 1/2 binary64)) (pow.f64 (.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 x x)) #s(literal 1/2 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))) (*.f64 x x)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 8 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) x)
(.f64 (.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) x) (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) x) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))
(.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 (sqrt.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 (.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 8 binary64)))) (*.f64 x x))))
(.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) x) (.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) x) (.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 #s(literal 8 binary64))) (*.f64 x x))))
(.f64 (sqrt.f64 (.f64 x x)) (sqrt.f64 #s(literal -2 binary64)))
(.f64 (sqrt.f64 (.f64 x x)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 8 binary64)))) (*.f64 x x)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) x) (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) x) (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (.f64 (sqrt.f64 (sqrt.f64 #s(literal 8 binary64))) (*.f64 x x)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 #s(literal -2 binary64) #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 #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 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) x))
(.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (.f64 x x)))
(.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
(.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) x))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) x))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (.f64 x x)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (.f64 x x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(*.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x x)))
(*.f64 (sqrt.f64 (-.f64 x x)) (sqrt.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))) #s(literal 2 binary64))
(pow.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) #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))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1 binary64))
(neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(sqrt.f64 (*.f64 (-.f64 x x) 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 (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 (neg.f64 (neg.f64 (sqrt.f64 x))) (neg.f64 (neg.f64 (sqrt.f64 (-.f64 x x))))))
(fabs.f64 (*.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 (-.f64 x x)))))
(fabs.f64 (*.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) (sqrt.f64 (-.f64 x x))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (neg.f64 (sqrt.f64 (-.f64 x x))))))
(fabs.f64 (*.f64 (sqrt.f64 x) (neg.f64 (neg.f64 (sqrt.f64 (-.f64 x x))))))
(fabs.f64 (*.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 x x)))) (neg.f64 (neg.f64 (sqrt.f64 x)))))
(fabs.f64 (*.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 x x)))) (neg.f64 (sqrt.f64 x))))
(fabs.f64 (*.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 x x)))) (sqrt.f64 x)))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 x x))) (neg.f64 (neg.f64 (sqrt.f64 x)))))
(fabs.f64 (*.f64 (sqrt.f64 (-.f64 x x)) (neg.f64 (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 (sqrt.f64 x)) (neg.f64 (sqrt.f64 (-.f64 x x)))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (-.f64 x x))))
(fabs.f64 (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 x x)))))
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(*.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 1/4 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 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 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 (/.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 8 binary64))))) (/.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 8 binary64)))) #s(literal 2 binary64)))
(/.f64 (sqrt.f64 (sqrt.f64 #s(literal 8 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 1/2 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 (asinh.f64 (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
(cosh.f64 (asinh.f64 (copysign.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
(cosh.f64 (asinh.f64 #s(literal 1 binary64)))
(sqrt.f64 (/.f64 (sqrt.f64 #s(literal 8 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 #s(literal 2 binary64))
(fabs.f64 (/.f64 #s(literal -2 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fabs.f64 (/.f64 #s(literal -2 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 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
(fabs.f64 (/.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 8 binary64)))) (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))))
(fabs.f64 (/.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 8 binary64)))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fabs.f64 (/.f64 (sqrt.f64 (sqrt.f64 #s(literal 8 binary64))) (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))))
(fabs.f64 (/.f64 #s(literal 2 binary64) (neg.f64 (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 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))

eval59.0ms (2.5%)

Memory: 22.6MiB live, 118.7MiB allocated; 13ms collecting garbage
Compiler: Compiled 11 429 to 2 573 computations (77.5% saved)

prune12.0ms (0.5%)

Memory

-18.9MiB live, 26.5MiB allocated; 4ms collecting garbage

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	691	1	692
Fresh	0	0	0
Picked	2	3	5
Done	0	3	3
Total	693	7	700

Accuracy

100.0%

Counts

700 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(hypot.f64 x x)
▶	99.1%	(.f64 (.f64 #s(literal 5355712719992597/4503599627370496 binary64) #s(literal 5355712719992597/4503599627370496 binary64)) (fabs.f64 x))
✓	99.5%	(*.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))
✓	56.4%	(sqrt.f64 (*.f64 (+.f64 x x) x))
✓	99.4%	#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.f64 x #s(literal 6369051672525773/4503599627370496 binary64)))

Compiler

Compiled 46 to 35 computations (23.9% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs
(* 5355712719992597/4503599627370496 5355712719992597/4503599627370496)
5355712719992597/4503599627370496

Outputs
#s(literal 1592262918131443/1125899906842624 binary64)
#s(literal 5355712719992597/4503599627370496 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 6 to 4 computations (33.3% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series3.0ms (0.1%)

Memory

6.1MiB live, 6.1MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17

Stop Event

1×	iter-limit

Counts

5 → 3

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 5355712719992597/4503599627370496 binary64) #s(literal 5355712719992597/4503599627370496 binary64)) (fabs.f64 x))
(*.f64 #s(literal 5355712719992597/4503599627370496 binary64) #s(literal 5355712719992597/4503599627370496 binary64))
#s(literal 5355712719992597/4503599627370496 binary64)
(fabs.f64 x)
x

Outputs

#s(approx (* (* 5355712719992597/4503599627370496 5355712719992597/4503599627370496) (fabs x)) (*.f64 #s(literal 28683658739090501717467734804409/20282409603651670423947251286016 binary64) (fabs.f64 x)))

#s(approx (fabs x) (fabs.f64 x))

#s(approx x x)

Calls

3 calls:

Time	Variable	Point
0.0ms	x	-inf
0.0ms	x	inf
0.0ms	x	0

rewrite121.0ms (5.2%)

Memory

23.5MiB live, 122.4MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	9
0	9	9
1	14	9
2	25	9
3	91	9
4	346	9
5	1897	9
0	4171	9

Stop Event

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

Counts

5 → 70

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 5355712719992597/4503599627370496 binary64) #s(literal 5355712719992597/4503599627370496 binary64)) (fabs.f64 x))
(*.f64 #s(literal 5355712719992597/4503599627370496 binary64) #s(literal 5355712719992597/4503599627370496 binary64))
#s(literal 5355712719992597/4503599627370496 binary64)
(fabs.f64 x)
x

Outputs
(*.f64 (fabs.f64 x) #s(literal 28683658739090501717467734804409/20282409603651670423947251286016 binary64))
(*.f64 #s(literal 28683658739090501717467734804409/20282409603651670423947251286016 binary64) (fabs.f64 x))
#s(literal 28683658739090501717467734804409/20282409603651670423947251286016 binary64)
#s(literal 5355712719992597/4503599627370496 binary64)
(*.f64 (pow.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 7 binary64)) #s(literal 1/8 binary64)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (neg.f64 (fabs.f64 x))) #s(literal 1/8 binary64)) (pow.f64 (.f64 (neg.f64 (fabs.f64 x)) (*.f64 x x)) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (neg.f64 x)) #s(literal 1/8 binary64)) (pow.f64 (.f64 (*.f64 (neg.f64 x) x) x) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (fabs.f64 x)) #s(literal 1/8 binary64)) (pow.f64 (.f64 (*.f64 (fabs.f64 x) x) x) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) #s(literal 1/8 binary64)) (pow.f64 (.f64 (*.f64 x x) x) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (.f64 (.f64 (fabs.f64 x) x) x) #s(literal 1/8 binary64)) (pow.f64 (.f64 (.f64 (.f64 (*.f64 x x) x) x) (fabs.f64 x)) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (.f64 (neg.f64 (fabs.f64 x)) (.f64 x x)) #s(literal 1/8 binary64)) (pow.f64 (.f64 (neg.f64 (fabs.f64 x)) (.f64 (.f64 (*.f64 x x) x) x)) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (.f64 (.f64 (neg.f64 x) x) x) #s(literal 1/8 binary64)) (pow.f64 (.f64 (neg.f64 x) (.f64 (.f64 (*.f64 x x) x) x)) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64)) (pow.f64 (.f64 x (.f64 (.f64 (*.f64 x x) x) x)) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (.f64 (.f64 (.f64 (neg.f64 x) x) x) x) #s(literal 1/8 binary64)) (pow.f64 (.f64 (.f64 (*.f64 (neg.f64 x) x) x) x) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (.f64 (.f64 (.f64 (fabs.f64 x) x) x) (neg.f64 x)) #s(literal 1/8 binary64)) (pow.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) x) x) (neg.f64 x)) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (.f64 (.f64 (.f64 (fabs.f64 x) x) x) x) #s(literal 1/8 binary64)) (pow.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) x) x) x) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1/8 binary64)) (pow.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 7 binary64)) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (.f64 (.f64 (neg.f64 x) (fabs.f64 x)) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/8 binary64)) (pow.f64 (*.f64 (neg.f64 x) (fabs.f64 x)) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (.f64 (neg.f64 x) (fabs.f64 x)) #s(literal 1/8 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 x) (fabs.f64 x)) (.f64 (.f64 (*.f64 x x) x) x)) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (.f64 (.f64 (fabs.f64 x) x) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/8 binary64)) (pow.f64 (*.f64 (fabs.f64 x) x) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (.f64 (fabs.f64 x) x) #s(literal 1/8 binary64)) (pow.f64 (.f64 (.f64 (fabs.f64 x) x) (.f64 (.f64 (*.f64 x x) x) x)) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (.f64 (.f64 (neg.f64 x) x) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/8 binary64)) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (.f64 (neg.f64 x) x) #s(literal 1/8 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 x) x) (.f64 (.f64 (*.f64 x x) x) x)) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/8 binary64)) (pow.f64 (.f64 (.f64 (*.f64 x x) x) x) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/8 binary64)) (pow.f64 (*.f64 x x) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (.f64 x x) #s(literal 1/8 binary64)) (pow.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (*.f64 x x) x)) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (pow.f64 (neg.f64 x) #s(literal 7 binary64)) #s(literal 1/8 binary64)) (pow.f64 (neg.f64 x) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/8 binary64)) (pow.f64 (pow.f64 (neg.f64 x) #s(literal 7 binary64)) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (pow.f64 (fabs.f64 x) #s(literal 7 binary64)) #s(literal 1/8 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1/8 binary64)) (pow.f64 (pow.f64 (fabs.f64 x) #s(literal 7 binary64)) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 1/8 binary64)))
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (.f64 (.f64 (.f64 x x) x) x) (/.f64 #s(literal 1/4 binary64) #s(literal 2 binary64))) (pow.f64 (.f64 (.f64 (*.f64 x x) x) x) (/.f64 #s(literal 1/4 binary64) #s(literal 2 binary64))))
(.f64 (pow.f64 (.f64 (*.f64 (fabs.f64 x) x) x) #s(literal 1/4 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (neg.f64 (fabs.f64 x)) (*.f64 x x)) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1/4 binary64)) (pow.f64 (.f64 (neg.f64 (fabs.f64 x)) (*.f64 x x)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (neg.f64 x) (fabs.f64 x)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (neg.f64 x) (fabs.f64 x)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (fabs.f64 x) x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (fabs.f64 x) x) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (neg.f64 x) x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 x x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 (neg.f64 x) x) x) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) (pow.f64 (.f64 (*.f64 (neg.f64 x) x) x) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (fabs.f64 x) #s(literal 1/4 binary64)) (pow.f64 (.f64 (*.f64 (fabs.f64 x) x) x) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 x x) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (.f64 (*.f64 x x) x) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (neg.f64 (fabs.f64 x))) (sqrt.f64 (neg.f64 (fabs.f64 x))))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)))
(*.f64 (sqrt.f64 (fabs.f64 x)) (sqrt.f64 (fabs.f64 x)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(pow.f64 (pow.f64 x #s(literal 16 binary64)) #s(literal 1/16 binary64))
(pow.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/8 binary64))
(pow.f64 (.f64 (.f64 (*.f64 x x) x) x) #s(literal 1/4 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/2 binary64))
(/.f64 (pow.f64 (.f64 x x) #s(literal 1/4 binary64)) (pow.f64 (.f64 x x) #s(literal -1/4 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(neg.f64 (neg.f64 (fabs.f64 x)))
(sqrt.f64 (*.f64 x x))
(fabs.f64 (neg.f64 (fabs.f64 x)))
(fabs.f64 (neg.f64 x))
(fabs.f64 (fabs.f64 x))
(fabs.f64 x)
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 8 binary64))) #s(literal 1/8 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal 1/2 binary64)))
x

eval8.0ms (0.3%)

Memory: -30.1MiB live, 16.1MiB allocated; 2ms collecting garbage
Compiler: Compiled 1 151 to 252 computations (78.1% saved)

prune3.0ms (0.1%)

Memory

8.2MiB live, 8.2MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	70	1	71
Fresh	0	0	0
Picked	1	0	1
Done	0	6	6
Total	71	7	78

Accuracy

100.0%

Counts

78 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(hypot.f64 x x)
✓	99.5%	(*.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)))
	99.1%	(*.f64 (fabs.f64 x) #s(literal 28683658739090501717467734804409/20282409603651670423947251286016 binary64))
✓	99.4%	(*.f64 #s(literal 6369051672525773/4503599627370496 binary64) (fabs.f64 x))
✓	56.4%	(sqrt.f64 (*.f64 (+.f64 x x) x))
✓	99.4%	#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.f64 x #s(literal 6369051672525773/4503599627370496 binary64)))

Compiler

Compiled 44 to 34 computations (22.7% saved)

regimes46.0ms (2.0%)

Memory

11.5MiB live, 101.6MiB allocated; 7ms collecting garbage

Counts

7 → 1

10 → 1

13 → 1

Calls

Call 1

Inputs
#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.f64 x #s(literal 6369051672525773/4503599627370496 binary64)))
(*.f64 #s(literal 6369051672525773/4503599627370496 binary64) (fabs.f64 x))
(*.f64 (fabs.f64 x) #s(literal 28683658739090501717467734804409/20282409603651670423947251286016 binary64))
#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x))
(.f64 (.f64 #s(literal 5355712719992597/4503599627370496 binary64) #s(literal 5355712719992597/4503599627370496 binary64)) (fabs.f64 x))
(sqrt.f64 (*.f64 (+.f64 x x) x))

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

Call 2

Inputs
#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.f64 x #s(literal 6369051672525773/4503599627370496 binary64)))
(*.f64 #s(literal 6369051672525773/4503599627370496 binary64) (fabs.f64 x))
(*.f64 (fabs.f64 x) #s(literal 28683658739090501717467734804409/20282409603651670423947251286016 binary64))
#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x))
(.f64 (.f64 #s(literal 5355712719992597/4503599627370496 binary64) #s(literal 5355712719992597/4503599627370496 binary64)) (fabs.f64 x))
(sqrt.f64 (*.f64 (+.f64 x x) x))
(*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x))
(.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) x)) (sqrt.f64 (neg.f64 x)))
(.f64 #s(approx (sqrt (+ x x)) (.f64 x (sqrt.f64 (/.f64 #s(literal 2 binary64) x)))) (sqrt.f64 x))

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

Call 3

Inputs
#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.f64 x #s(literal 6369051672525773/4503599627370496 binary64)))
(*.f64 #s(literal 6369051672525773/4503599627370496 binary64) (fabs.f64 x))
(*.f64 (fabs.f64 x) #s(literal 28683658739090501717467734804409/20282409603651670423947251286016 binary64))
#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x))
(.f64 (.f64 #s(literal 5355712719992597/4503599627370496 binary64) #s(literal 5355712719992597/4503599627370496 binary64)) (fabs.f64 x))
(sqrt.f64 (*.f64 (+.f64 x x) x))
(*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x))
(.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) x)) (sqrt.f64 (neg.f64 x)))
(.f64 #s(approx (sqrt (+ x x)) (.f64 x (sqrt.f64 (/.f64 #s(literal 2 binary64) x)))) (sqrt.f64 x))
(hypot.f64 x x)
(.f64 (.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) (fabs.f64 x))
(sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))

Outputs
(hypot.f64 x x)

Calls

12 calls:

6.0ms	(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
5.0ms	x
4.0ms	x
4.0ms	(pow.f64 x #s(literal 2 binary64))
4.0ms	(sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))

Results

Accuracy	Segments	Branch
99.4%	1	`(pow.f64 x #s(literal 2 binary64))`
99.4%	1	`(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))`
99.4%	1	`(sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))`
99.4%	1	`x`
99.5%	1	`(pow.f64 x #s(literal 2 binary64))`
99.5%	1	`(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))`
99.5%	1	`(sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))`
99.5%	1	`x`
99.9%	1	`(pow.f64 x #s(literal 2 binary64))`
99.9%	1	`(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))`
99.9%	1	`(sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))`
99.9%	1	`x`

Compiler

Compiled 157 to 85 computations (45.9% saved)

derivations48.0ms (2.0%)

Memory

4.6MiB live, 57.6MiB allocated; 6ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 22 to 13 computations (40.9% saved)

preprocess36.0ms (1.5%)

Memory: 0.1MiB live, 45.3MiB allocated; 5ms collecting garbage
Symmetry: (abs x)
Compiler: Compiled 80 to 49 computations (38.8% saved)

end0.0ms (0.0%)

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

start0.0ms (0.0%)

analyze0.0ms (0.0%)

sample799.0ms (34.1%)

preprocess76.0ms (3.2%)

sample0.0ms (0.0%)

series8.0ms (0.3%)

rewrite246.0ms (10.5%)

eval394.0ms (16.8%)

prune58.0ms (2.5%)

sample0.0ms (0.0%)

series10.0ms (0.4%)

rewrite160.0ms (6.8%)

eval90.0ms (3.8%)

prune19.0ms (0.8%)

sample0.0ms (0.0%)

series18.0ms (0.8%)

rewrite128.0ms (5.5%)

eval59.0ms (2.5%)

prune12.0ms (0.5%)

sample0.0ms (0.0%)

series3.0ms (0.1%)

rewrite121.0ms (5.2%)

eval8.0ms (0.3%)

prune3.0ms (0.1%)

regimes46.0ms (2.0%)

derivations48.0ms (2.0%)

preprocess36.0ms (1.5%)

end0.0ms (0.0%)

Profiling