Metrics for sqrt B (should all be same)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

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

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
100%	100%	0%	0%	0%	0%	0%	2

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample806.0ms (19.3%)

Memory

13.5MiB live, 567.3MiB allocated; 684ms collecting garbage

Samples

524.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 394.0ms

ival-mult!: 332.0ms (84.2% of total)

ival-sqrt: 61.0ms (15.5% of total)

adjust: 1.0ms (0.3% of total)

Bogosity

preprocess86.0ms (2.1%)

Memory

-6.5MiB live, 38.5MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	28	19
2	68	19
3	213	19
4	402	19
5	2482	19

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.4%	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))

Symmetry

(abs x)

Compiler

Compiled 10 to 10 computations (0% saved)

series4.0ms (0.1%)

Memory

5.3MiB live, 5.2MiB allocated; 0ms collecting garbage

Counts

5 → 5

Calls

Call 1

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

Outputs
#s(approx (sqrt (* (* 2 x) x)) #s(hole binary64 (* x (sqrt 2))))
#s(approx (* (* 2 x) x) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt (* (* 2 x) x)) #s(hole binary64 (* -1 (* x (sqrt 2)))))

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	((sqrt (* (* 2 x) x)) (* (* 2 x) x) (* 2 x) 2 x)
1.0ms	x	@	0	((sqrt (* (* 2 x) x)) (* (* 2 x) x) (* 2 x) 2 x)
1.0ms	x	@	-inf	((sqrt (* (* 2 x) x)) (* (* 2 x) x) (* 2 x) 2 x)

rewrite276.0ms (6.6%)

Memory

22.9MiB live, 218.2MiB allocated; 107ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	61
0	22	60
1	39	60
2	68	60
3	154	60
4	431	60
5	2988	60
0	8125	51

Stop Event

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

Counts

10 → 310

Calls

Call 1

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

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

eval68.0ms (1.6%)

Memory: -21.1MiB live, 69.4MiB allocated; 12ms collecting garbage
Compiler: Compiled 1 614 to 903 computations (44.1% saved)

prune6.0ms (0.1%)

Memory

18.1MiB live, 18.1MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	303	4	307
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	304	4	308

Accuracy

100.0%

Counts

308 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(hypot.f64 x x)
▶	52.4%	(sqrt.f64 (*.f64 (+.f64 x x) x))
▶	99.3%	#s(approx (sqrt (* (* 2 x) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
▶	2.3%	#s(approx (sqrt (* (* 2 x) x)) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))

Compiler

Compiled 25 to 25 computations (0% saved)

series4.0ms (0.1%)

Memory

7.6MiB live, 7.5MiB allocated; 0ms collecting garbage

Counts

12 → 12

Calls

Call 1

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

Outputs
#s(approx (sqrt (* (* 2 x) x)) #s(hole binary64 (* x (sqrt 2))))
#s(approx (* (neg x) (sqrt 2)) #s(hole binary64 (* -1 (* x (sqrt 2)))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* (sqrt 2) x) #s(hole binary64 (* x (sqrt 2))))
#s(approx (sqrt (* (+ x x) x)) #s(hole binary64 (* x (sqrt 2))))
#s(approx (* (+ x x) x) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (sqrt (+ (* x x) (* x x))) #s(hole binary64 (* x (sqrt 2))))
#s(approx (sqrt (* (* 2 x) x)) #s(hole binary64 (* -1 (* x (sqrt 2)))))
#s(approx (sqrt (* (+ x x) x)) #s(hole binary64 (* -1 (* x (sqrt 2)))))
#s(approx (sqrt (+ (* x x) (* x x))) #s(hole binary64 (* -1 (* x (sqrt 2)))))

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((sqrt (* (* 2 x) x)) (* (neg x) (sqrt 2)) (neg x) x (sqrt 2) 2 (sqrt (* (* 2 x) x)) (* (sqrt 2) x) (sqrt (* (+ x x) x)) (* (+ x x) x) (+ x x) (sqrt (+ (* x x) (* x x))))
1.0ms	x	@	inf	((sqrt (* (* 2 x) x)) (* (neg x) (sqrt 2)) (neg x) x (sqrt 2) 2 (sqrt (* (* 2 x) x)) (* (sqrt 2) x) (sqrt (* (+ x x) x)) (* (+ x x) x) (+ x x) (sqrt (+ (* x x) (* x x))))
1.0ms	x	@	0	((sqrt (* (* 2 x) x)) (* (neg x) (sqrt 2)) (neg x) x (sqrt 2) 2 (sqrt (* (* 2 x) x)) (* (sqrt 2) x) (sqrt (* (+ x x) x)) (* (+ x x) x) (+ x x) (sqrt (+ (* x x) (* x x))))

Time

Variable

Point

Expression

2.0ms

-inf

((sqrt (* (* 2 x) x)) (* (neg x) (sqrt 2)) (neg x) x (sqrt 2) 2 (sqrt (* (* 2 x) x)) (* (sqrt 2) x) (sqrt (* (+ x x) x)) (* (+ x x) x) (+ x x) (sqrt (+ (* x x) (* x x))))

1.0ms

inf

((sqrt (* (* 2 x) x)) (* (neg x) (sqrt 2)) (neg x) x (sqrt 2) 2 (sqrt (* (* 2 x) x)) (* (sqrt 2) x) (sqrt (* (+ x x) x)) (* (+ x x) x) (+ x x) (sqrt (+ (* x x) (* x x))))

1.0ms

((sqrt (* (* 2 x) x)) (* (neg x) (sqrt 2)) (neg x) x (sqrt 2) 2 (sqrt (* (* 2 x) x)) (* (sqrt 2) x) (sqrt (* (+ x x) x)) (* (+ x x) x) (+ x x) (sqrt (+ (* x x) (* x x))))

rewrite296.0ms (7.1%)

Memory

26.7MiB live, 208.0MiB allocated; 41ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	169
0	53	143
1	78	143
2	143	143
3	329	143
4	892	143
5	4610	143
0	8252	143

Stop Event

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

Counts

24 → 799

Calls

Call 1

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

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

eval125.0ms (3%)

Memory: -28.5MiB live, 209.5MiB allocated; 77ms collecting garbage
Compiler: Compiled 5 138 to 2 215 computations (56.9% saved)

prune17.0ms (0.4%)

Memory

-6.0MiB live, 41.0MiB allocated; 3ms collecting garbage

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	842	1	843
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	842	5	847

Accuracy

100.0%

Counts

847 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(hypot.f64 x x)
✓	52.4%	(sqrt.f64 (*.f64 (+.f64 x x) x))
▶	99.2%	#s(approx (sqrt (* (* 2 x) x)) (*.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))) x))
✓	99.3%	#s(approx (sqrt (* (* 2 x) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
✓	2.3%	#s(approx (sqrt (* (* 2 x) x)) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))

Compiler

Compiled 41 to 40 computations (2.4% saved)

series4.0ms (0.1%)

Memory

9.3MiB live, 9.3MiB allocated; 0ms collecting garbage

Counts

11 → 4

Calls

Call 1

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

Outputs
#s(approx (sqrt (* (* 2 x) x)) #s(hole binary64 (* x (sqrt 2))))
#s(approx (* (+ (/ (+ -1 (sqrt 2)) 2) (/ (- (sqrt 2) -1) 2)) x) #s(hole binary64 (* x (+ (* 1/2 (+ 1 (sqrt 2))) (* 1/2 (- (sqrt 2) 1))))))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt (* (* 2 x) x)) #s(hole binary64 (* -1 (* x (sqrt 2)))))

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	((sqrt (* (* 2 x) x)) (* (+ (/ (+ -1 (sqrt 2)) 2) (/ (- (sqrt 2) -1) 2)) x) (+ (/ (+ -1 (sqrt 2)) 2) (/ (- (sqrt 2) -1) 2)) (/ (+ -1 (sqrt 2)) 2) (+ -1 (sqrt 2)) -1 (sqrt 2) 2 (/ (- (sqrt 2) -1) 2) (- (sqrt 2) -1) x)
1.0ms	x	@	-inf	((sqrt (* (* 2 x) x)) (* (+ (/ (+ -1 (sqrt 2)) 2) (/ (- (sqrt 2) -1) 2)) x) (+ (/ (+ -1 (sqrt 2)) 2) (/ (- (sqrt 2) -1) 2)) (/ (+ -1 (sqrt 2)) 2) (+ -1 (sqrt 2)) -1 (sqrt 2) 2 (/ (- (sqrt 2) -1) 2) (- (sqrt 2) -1) x)
1.0ms	x	@	inf	((sqrt (* (* 2 x) x)) (* (+ (/ (+ -1 (sqrt 2)) 2) (/ (- (sqrt 2) -1) 2)) x) (+ (/ (+ -1 (sqrt 2)) 2) (/ (- (sqrt 2) -1) 2)) (/ (+ -1 (sqrt 2)) 2) (+ -1 (sqrt 2)) -1 (sqrt 2) 2 (/ (- (sqrt 2) -1) 2) (- (sqrt 2) -1) x)

Time

Variable

Point

Expression

1.0ms

((sqrt (* (* 2 x) x)) (* (+ (/ (+ -1 (sqrt 2)) 2) (/ (- (sqrt 2) -1) 2)) x) (+ (/ (+ -1 (sqrt 2)) 2) (/ (- (sqrt 2) -1) 2)) (/ (+ -1 (sqrt 2)) 2) (+ -1 (sqrt 2)) -1 (sqrt 2) 2 (/ (- (sqrt 2) -1) 2) (- (sqrt 2) -1) x)

1.0ms

-inf

((sqrt (* (* 2 x) x)) (* (+ (/ (+ -1 (sqrt 2)) 2) (/ (- (sqrt 2) -1) 2)) x) (+ (/ (+ -1 (sqrt 2)) 2) (/ (- (sqrt 2) -1) 2)) (/ (+ -1 (sqrt 2)) 2) (+ -1 (sqrt 2)) -1 (sqrt 2) 2 (/ (- (sqrt 2) -1) 2) (- (sqrt 2) -1) x)

1.0ms

inf

((sqrt (* (* 2 x) x)) (* (+ (/ (+ -1 (sqrt 2)) 2) (/ (- (sqrt 2) -1) 2)) x) (+ (/ (+ -1 (sqrt 2)) 2) (/ (- (sqrt 2) -1) 2)) (/ (+ -1 (sqrt 2)) 2) (+ -1 (sqrt 2)) -1 (sqrt 2) 2 (/ (- (sqrt 2) -1) 2) (- (sqrt 2) -1) x)

rewrite1.2s (28.1%)

Memory

-6.6MiB live, 542.6MiB allocated; 177ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	133
0	45	122
1	105	122
2	352	112
3	2064	73
0	8282	69
0	23697	63

Stop Event

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

Counts

15 → 2 143

Calls

Call 1

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

Outputs
#s(approx (sqrt (* (* 2 x) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 8 binary64)) x) #s(literal 8 binary64)) #s(literal 4 binary64))
(.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 4 binary64)) #s(literal 4 binary64))
(.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 8 binary64)) x) #s(literal 4 binary64)) #s(literal 2 binary64))
(.f64 (/.f64 x #s(literal -4 binary64)) (.f64 #s(literal -8 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal -2 binary64)) #s(literal -2 binary64))
(.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 2 binary64))
(.f64 (.f64 #s(literal 1/4 binary64) x) (*.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 #s(literal -1/2 binary64) x) (neg.f64 (sqrt.f64 #s(literal 8 binary64))))
(.f64 (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) x) #s(literal -1 binary64))
(.f64 (neg.f64 (sqrt.f64 #s(literal 8 binary64))) (.f64 #s(literal -1/2 binary64) x))
(.f64 (.f64 (sqrt.f64 #s(literal 8 binary64)) (neg.f64 x)) #s(literal -1/2 binary64))
(.f64 (.f64 (sqrt.f64 #s(literal 8 binary64)) x) #s(literal 1/2 binary64))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 2 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 #s(literal 8 binary64)))
(.f64 (sqrt.f64 #s(literal 8 binary64)) (.f64 #s(literal 1/2 binary64) x))
(.f64 (.f64 #s(literal -8 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 x #s(literal -4 binary64)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 x))
(*.f64 (neg.f64 x) (-.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(*.f64 (neg.f64 x) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 x x))
(.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) x) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x x)))
(.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) x) (*.f64 (-.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) x)))
(.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 #s(literal 8 binary64)) (neg.f64 x)))
(.f64 #s(literal 4 binary64) (+.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) x) #s(literal -8 binary64)) (/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x x) #s(literal 8 binary64))))
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(fma.f64 #s(literal 4 binary64) (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -8 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal -4 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 4 binary64) (-.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 4 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 8 binary64))) (sinh.f64 (asinh.f64 #s(literal 1 binary64))))
(fma.f64 #s(literal 4 binary64) (-.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 4 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 8 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 4 binary64) (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -8 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 8 binary64))) (sinh.f64 (asinh.f64 #s(literal 1 binary64))))
(fma.f64 #s(literal 4 binary64) (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -8 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 8 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 4 binary64) (-.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 4 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal -4 binary64))) (sinh.f64 (asinh.f64 #s(literal 1 binary64))))
(fma.f64 #s(literal 4 binary64) (-.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 4 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal -4 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 4 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -8 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal -4 binary64))) (sinh.f64 (asinh.f64 #s(literal 1 binary64))))
(fma.f64 #s(literal 4 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -8 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal -4 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 4 binary64) (-.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 4 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 8 binary64))) (sinh.f64 (asinh.f64 #s(literal 1 binary64))))
(fma.f64 #s(literal 4 binary64) (-.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 4 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 8 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 4 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -8 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 8 binary64))) (sinh.f64 (asinh.f64 #s(literal 1 binary64))))
(fma.f64 #s(literal 4 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -8 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 8 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 4 binary64) (-.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -8 binary64))) (sinh.f64 (asinh.f64 #s(literal 1 binary64))))
(fma.f64 #s(literal 4 binary64) (-.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -8 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 4 binary64) (-.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 8 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -8 binary64))) (sinh.f64 (asinh.f64 #s(literal 1 binary64))))
(fma.f64 #s(literal 4 binary64) (-.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 8 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -8 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 4 binary64)) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -8 binary64)) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 #s(literal 4 binary64) (/.f64 (sqrt.f64 #s(literal 8 binary64)) #s(literal 8 binary64)) (sinh.f64 (asinh.f64 #s(literal 1 binary64))))
(fma.f64 #s(literal 4 binary64) (/.f64 (sqrt.f64 #s(literal 8 binary64)) #s(literal 8 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sinh.f64 (asinh.f64 #s(literal 1 binary64))))
(fma.f64 #s(literal 4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 4 binary64) (*.f64 #s(literal 1/4 binary64) (-.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 0 binary64))
(fma.f64 (-.f64 (sqrt.f64 #s(literal 8 binary64)) #s(literal -2 binary64)) #s(literal 1/4 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (-.f64 (sqrt.f64 #s(literal 8 binary64)) #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -2 binary64) (+.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -2 binary64))) (sinh.f64 (asinh.f64 #s(literal 1 binary64))))
(fma.f64 #s(literal -2 binary64) (+.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal -2 binary64) (-.f64 (.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)) (.f64 #s(literal 1/4 binary64) (-.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64)))) (sinh.f64 (asinh.f64 #s(literal 1 binary64))))
(fma.f64 #s(literal -2 binary64) (-.f64 (.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)) (.f64 #s(literal 1/4 binary64) (-.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64))
(fma.f64 #s(literal -2 binary64) (-.f64 (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)) (.f64 #s(literal 1/4 binary64) (-.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)))) (sinh.f64 (asinh.f64 #s(literal 1 binary64))))
(fma.f64 #s(literal -2 binary64) (-.f64 (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)) (.f64 #s(literal 1/4 binary64) (-.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64))
(fma.f64 #s(literal -2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64) (*.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64))) (sinh.f64 (asinh.f64 #s(literal 1 binary64))))
(fma.f64 #s(literal -2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64) (*.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal -2 binary64) (fma.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64))) (sinh.f64 (asinh.f64 #s(literal 1 binary64))))
(fma.f64 #s(literal -2 binary64) (fma.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal -2 binary64) (*.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 #s(literal -2 binary64) (-.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal -2 binary64) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (sinh.f64 (asinh.f64 #s(literal 1 binary64))))
(fma.f64 #s(literal -2 binary64) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)) (sinh.f64 (asinh.f64 #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 8 binary64)) (sinh.f64 (asinh.f64 #s(literal 1 binary64))))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 #s(literal 8 binary64)) #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64) (sinh.f64 (asinh.f64 #s(literal 1 binary64))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (-.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (-.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (-.f64 (-.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) (sinh.f64 (asinh.f64 #s(literal 1 binary64))))
(fma.f64 #s(literal -1 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (-.f64 (-.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (+.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (-.f64 (-.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) (sinh.f64 (asinh.f64 #s(literal 1 binary64))))
(fma.f64 #s(literal -1 binary64) (+.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (-.f64 (-.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (sinh.f64 (asinh.f64 #s(literal 1 binary64))))
(fma.f64 #s(literal -1 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (-.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sinh.f64 (asinh.f64 #s(literal 1 binary64))))
(fma.f64 #s(literal -1 binary64) (-.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sinh.f64 (asinh.f64 #s(literal 1 binary64))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sinh.f64 (asinh.f64 #s(literal 1 binary64))))
(fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))) (sinh.f64 (asinh.f64 #s(literal 1 binary64))))
(fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (-.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64))) (sinh.f64 (asinh.f64 #s(literal 1 binary64))))
(fma.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (-.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (-.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64))) (sinh.f64 (asinh.f64 #s(literal 1 binary64))))
(fma.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (-.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (-.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -4 binary64))) (sinh.f64 (asinh.f64 #s(literal 1 binary64))))
(fma.f64 #s(literal 2 binary64) (-.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -4 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (-.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -4 binary64))) (sinh.f64 (asinh.f64 #s(literal 1 binary64))))
(fma.f64 #s(literal 2 binary64) (-.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -4 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) (sqrt.f64 (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/4 binary64) (-.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64))) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (sinh.f64 (asinh.f64 #s(literal 1 binary64))))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
(-.f64 (-.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(-.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(-.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64))
(-.f64 (-.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))
(exp.f64 (asinh.f64 #s(literal 1 binary64)))
(+.f64 (-.f64 #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(+.f64 (.f64 (sqrt.f64 (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) (sqrt.f64 (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))) (.f64 (sqrt.f64 (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) (sqrt.f64 (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))))
(+.f64 (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
(+.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (sqrt.f64 #s(literal 2 binary64)) (sinh.f64 (asinh.f64 #s(literal 1 binary64))))
(+.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 (-.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))
x
#s(approx (sqrt (* (* 2 x) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
#s(approx (* (+ (/ (+ -1 (sqrt 2)) 2) (/ (- (sqrt 2) -1) 2)) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
#s(approx x x)
#s(approx (sqrt (* (* 2 x) x)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) x))

eval223.0ms (5.3%)

Memory: 26.9MiB live, 298.1MiB allocated; 49ms collecting garbage
Compiler: Compiled 14 513 to 6 681 computations (54% saved)

prune54.0ms (1.3%)

Memory

2.8MiB live, 49.5MiB allocated; 3ms collecting garbage

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	1 559	3	1 562
Fresh	0	0	0
Picked	1	0	1
Done	0	4	4
Total	1 560	7	1 567

Accuracy

100.0%

Counts

1 567 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(hypot.f64 x x)
✓	52.4%	(sqrt.f64 (*.f64 (+.f64 x x) x))
▶	99.2%	#s(approx (sqrt (* (* 2 x) x)) (fma.f64 x #s(literal -1/2 binary64) (*.f64 (-.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) x)))
▶	99.3%	#s(approx (sqrt (* (* 2 x) x)) (+.f64 (*.f64 (-.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) x) x))
▶	99.2%	#s(approx (sqrt (* (* 2 x) x)) (*.f64 (-.f64 (-.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) x))
✓	99.3%	#s(approx (sqrt (* (* 2 x) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
✓	2.3%	#s(approx (sqrt (* (* 2 x) x)) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))

Compiler

Compiled 62 to 62 computations (0% saved)

series5.0ms (0.1%)

Memory

5.3MiB live, 5.3MiB allocated; 0ms collecting garbage

Counts

18 → 10

Calls

Call 1

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

Outputs
#s(approx (sqrt (* (* 2 x) x)) #s(hole binary64 (* x (sqrt 2))))
#s(approx (* (- (- (sqrt 2) -1) 1) x) #s(hole binary64 (* x (sqrt 2))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (- (sqrt 2) 1) x) x) #s(hole binary64 (* x (sqrt 2))))
#s(approx (* (- (sqrt 2) 1) x) #s(hole binary64 (* x (- (sqrt 2) 1))))
#s(approx (+ (* x -1/2) (* (- (sqrt 2) -1/2) x)) #s(hole binary64 (* x (sqrt 2))))
#s(approx (* (- (sqrt 2) -1/2) x) #s(hole binary64 (* x (+ 1/2 (sqrt 2)))))
#s(approx (sqrt (* (* 2 x) x)) #s(hole binary64 (* -1 (* x (sqrt 2)))))
#s(approx (+ (* (- (sqrt 2) 1) x) x) #s(hole binary64 (* -1 (* x (- (* -1 (- (sqrt 2) 1)) 1)))))
#s(approx (+ (* x -1/2) (* (- (sqrt 2) -1/2) x)) #s(hole binary64 (* -1 (* x (+ 1/2 (* -1 (+ 1/2 (sqrt 2))))))))

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((sqrt (* (* 2 x) x)) (* (- (- (sqrt 2) -1) 1) x) (- (- (sqrt 2) -1) 1) (- (sqrt 2) -1) (sqrt 2) 2 -1 1 x (sqrt (* (* 2 x) x)) (+ (* (- (sqrt 2) 1) x) x) (* (- (sqrt 2) 1) x) (- (sqrt 2) 1) (sqrt (* (* 2 x) x)) (+ (* x -1/2) (* (- (sqrt 2) -1/2) x)) -1/2 (* (- (sqrt 2) -1/2) x) (- (sqrt 2) -1/2))
1.0ms	x	@	0	((sqrt (* (* 2 x) x)) (* (- (- (sqrt 2) -1) 1) x) (- (- (sqrt 2) -1) 1) (- (sqrt 2) -1) (sqrt 2) 2 -1 1 x (sqrt (* (* 2 x) x)) (+ (* (- (sqrt 2) 1) x) x) (* (- (sqrt 2) 1) x) (- (sqrt 2) 1) (sqrt (* (* 2 x) x)) (+ (* x -1/2) (* (- (sqrt 2) -1/2) x)) -1/2 (* (- (sqrt 2) -1/2) x) (- (sqrt 2) -1/2))
1.0ms	x	@	inf	((sqrt (* (* 2 x) x)) (* (- (- (sqrt 2) -1) 1) x) (- (- (sqrt 2) -1) 1) (- (sqrt 2) -1) (sqrt 2) 2 -1 1 x (sqrt (* (* 2 x) x)) (+ (* (- (sqrt 2) 1) x) x) (* (- (sqrt 2) 1) x) (- (sqrt 2) 1) (sqrt (* (* 2 x) x)) (+ (* x -1/2) (* (- (sqrt 2) -1/2) x)) -1/2 (* (- (sqrt 2) -1/2) x) (- (sqrt 2) -1/2))

Time

Variable

Point

Expression

2.0ms

-inf

((sqrt (* (* 2 x) x)) (* (- (- (sqrt 2) -1) 1) x) (- (- (sqrt 2) -1) 1) (- (sqrt 2) -1) (sqrt 2) 2 -1 1 x (sqrt (* (* 2 x) x)) (+ (* (- (sqrt 2) 1) x) x) (* (- (sqrt 2) 1) x) (- (sqrt 2) 1) (sqrt (* (* 2 x) x)) (+ (* x -1/2) (* (- (sqrt 2) -1/2) x)) -1/2 (* (- (sqrt 2) -1/2) x) (- (sqrt 2) -1/2))

1.0ms

((sqrt (* (* 2 x) x)) (* (- (- (sqrt 2) -1) 1) x) (- (- (sqrt 2) -1) 1) (- (sqrt 2) -1) (sqrt 2) 2 -1 1 x (sqrt (* (* 2 x) x)) (+ (* (- (sqrt 2) 1) x) x) (* (- (sqrt 2) 1) x) (- (sqrt 2) 1) (sqrt (* (* 2 x) x)) (+ (* x -1/2) (* (- (sqrt 2) -1/2) x)) -1/2 (* (- (sqrt 2) -1/2) x) (- (sqrt 2) -1/2))

1.0ms

inf

((sqrt (* (* 2 x) x)) (* (- (- (sqrt 2) -1) 1) x) (- (- (sqrt 2) -1) 1) (- (sqrt 2) -1) (sqrt 2) 2 -1 1 x (sqrt (* (* 2 x) x)) (+ (* (- (sqrt 2) 1) x) x) (* (- (sqrt 2) 1) x) (- (sqrt 2) 1) (sqrt (* (* 2 x) x)) (+ (* x -1/2) (* (- (sqrt 2) -1/2) x)) -1/2 (* (- (sqrt 2) -1/2) x) (- (sqrt 2) -1/2))

rewrite418.0ms (10%)

Memory

-24.6MiB live, 175.2MiB allocated; 78ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	244
0	73	199
1	135	175
2	326	175
3	1032	175
0	8322	160

Stop Event

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

Counts

28 → 1 871

Calls

Call 1

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

Outputs
#s(approx (sqrt (* (* 2 x) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 x))
(.f64 (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64))
(*.f64 (neg.f64 x) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 x x)) #s(literal 2 binary64))
(/.f64 (*.f64 x (sqrt.f64 #s(literal 8 binary64))) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 4 binary64)) #s(literal 4 binary64))
(/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (E.f64)) (E.f64))
(/.f64 (.f64 (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) #s(literal -2 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal -2 binary64))
(/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal -2 binary64)) #s(literal -2 binary64))
(/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 4 binary64))
(/.f64 (.f64 (E.f64) (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (E.f64))
(/.f64 (*.f64 (sqrt.f64 #s(literal 8 binary64)) x) #s(literal 2 binary64))
(/.f64 (*.f64 (+.f64 x x) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal -2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal -2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal -2 binary64) (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -2 binary64))
(/.f64 (*.f64 (sqrt.f64 #s(literal 8 binary64)) (+.f64 x x)) #s(literal 4 binary64))
(/.f64 (*.f64 (+.f64 x x) (sqrt.f64 #s(literal 8 binary64))) #s(literal 4 binary64))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1 binary64))
(neg.f64 (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal 3/2 binary64) x (fma.f64 (-.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) x)))
(fma.f64 #s(literal 3/2 binary64) x (-.f64 (.f64 (-.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) x) (.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (-.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 x) (+.f64 x (*.f64 #s(literal -1/2 binary64) x)))
(fma.f64 (-.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)))
(fma.f64 (-.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 x) (-.f64 x (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (-.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 x) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (*.f64 (-.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) x) #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal 0 binary64)))
(fma.f64 (.f64 (-.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) x) #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 x) #s(literal 0 binary64))
(fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (neg.f64 x) (-.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 x (*.f64 #s(literal -1/2 binary64) x)))
(fma.f64 (neg.f64 x) (-.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)))
(fma.f64 (neg.f64 x) (-.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (-.f64 x (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (neg.f64 x) (-.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (neg.f64 x) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (neg.f64 x) (-.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) x #s(literal 0 binary64)))
(fma.f64 (neg.f64 x) (-.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) x))
(fma.f64 (neg.f64 x) #s(literal 1/2 binary64) (*.f64 (-.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) x))
(fma.f64 (neg.f64 x) #s(literal -1/2 binary64) (*.f64 x (-.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(fma.f64 (/.f64 (-.f64 (cosh.f64 #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) x (fma.f64 (/.f64 (.f64 (-.f64 (E.f64) (/.f64 #s(literal 1 binary64) (E.f64))) (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64))) #s(literal 4 binary64)) x (.f64 (-.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) x)))
(fma.f64 (/.f64 (-.f64 (cosh.f64 #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) x (-.f64 (.f64 (/.f64 (.f64 (-.f64 (E.f64) (/.f64 #s(literal 1 binary64) (E.f64))) (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64))) #s(literal 4 binary64)) x) (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) x)))
(fma.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) x) #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal 0 binary64)))
(fma.f64 (.f64 (-.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) x) #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) x))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (.f64 x (-.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64) (.f64 (-.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) x))
(fma.f64 (-.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) x #s(literal 0 binary64)))
(fma.f64 (-.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 x) (*.f64 #s(literal -1/2 binary64) x))
(fma.f64 (-.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) x #s(literal 0 binary64)))
(fma.f64 (-.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) x (*.f64 #s(literal -1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 x) (*.f64 (-.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) x))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 x (-.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(fma.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64) (.f64 (-.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) x))
(fma.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64) (.f64 x (-.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(fma.f64 (-.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) x (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) x)))
(fma.f64 (-.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) x (-.f64 (.f64 #s(literal 3/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (-.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) x x)
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1/2 binary64) (neg.f64 x) (*.f64 x (-.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(fma.f64 #s(literal -1/2 binary64) x (*.f64 (-.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) x))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 3/2 binary64) x) (fma.f64 (-.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) x (.f64 #s(literal -1/2 binary64) x)))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 3/2 binary64) x) (-.f64 (.f64 (-.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) x) (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 #s(literal 1 binary64) (*.f64 (-.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) x) (fma.f64 #s(literal -1/2 binary64) x #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 (-.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) x) (.f64 #s(literal -1/2 binary64) x))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x) (.f64 x (-.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x) (.f64 (-.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) x))
(fma.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) x) (+.f64 x (.f64 #s(literal -1/2 binary64) x)))
(fma.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) x) (-.f64 x (.f64 #s(literal 1/2 binary64) x)))
(fma.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) x) (.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) x) (fma.f64 #s(literal -1/2 binary64) x #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) x) (.f64 #s(literal -1/2 binary64) x))
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(+.f64 (/.f64 (-.f64 (cosh.f64 #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 (+.f64 (/.f64 (*.f64 (-.f64 (E.f64) (/.f64 #s(literal 1 binary64) (E.f64))) (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64))) #s(literal 4 binary64)) (-.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(+.f64 (/.f64 (-.f64 (cosh.f64 #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (E.f64) (/.f64 #s(literal 1 binary64) (E.f64))) (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64))) #s(literal 4 binary64)) (-.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1/2 binary64)))
(+.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(+.f64 (-.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (-.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3/2 binary64))
(+.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (+.f64 (-.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(+.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(+.f64 (-.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(+.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 2 binary64) (+.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
#s(approx (sqrt (* (* 2 x) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
#s(approx (+ (* (- (sqrt 2) 1) x) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
#s(approx x x)
#s(approx (+ (* (- (sqrt 2) 1) x) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
#s(approx (* (- (sqrt 2) 1) x) (*.f64 (-.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) x))
#s(approx (+ (* (- (sqrt 2) 1) x) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
#s(approx (* (- (sqrt 2) -1/2) x) (*.f64 (-.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) x))
#s(approx (sqrt (* (* 2 x) x)) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (- (sqrt 2) 1) x) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
#s(approx (+ (* (- (sqrt 2) 1) x) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))

eval434.0ms (10.4%)

Memory: 8.7MiB live, 245.0MiB allocated; 47ms collecting garbage
Compiler: Compiled 14 137 to 4 742 computations (66.5% saved)

prune21.0ms (0.5%)

Memory

40.1MiB live, 40.1MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	1 239	1	1 240
Fresh	0	0	0
Picked	1	2	3
Done	0	4	4
Total	1 240	7	1 247

Accuracy

100.0%

Counts

1 247 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(hypot.f64 x x)
✓	52.4%	(sqrt.f64 (*.f64 (+.f64 x x) x))
✓	99.2%	#s(approx (sqrt (* (* 2 x) x)) (fma.f64 x #s(literal -1/2 binary64) (*.f64 (-.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) x)))
	99.3%	#s(approx (sqrt (* (* 2 x) x)) (-.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) x)))
✓	99.2%	#s(approx (sqrt (* (* 2 x) x)) (*.f64 (-.f64 (-.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) x))
✓	99.3%	#s(approx (sqrt (* (* 2 x) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
✓	2.3%	#s(approx (sqrt (* (* 2 x) x)) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))

Compiler

Compiled 117 to 106 computations (9.4% saved)

regimes56.0ms (1.4%)

Memory

-33.2MiB live, 12.4MiB allocated; 5ms collecting garbage

Counts

10 → 1

Calls

Call 1

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

Outputs
(hypot.f64 x x)

Calls

3 calls:

51.0ms	x
3.0ms	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))
2.0ms	(.f64 (.f64 #s(literal 2 binary64) x) x)

Results

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

Compiler

Compiled 10 to 10 computations (0% saved)

regimes7.0ms (0.2%)

Memory

10.8MiB live, 10.8MiB allocated; 0ms collecting garbage

Accuracy

Total -62.1b remaining (-14717.3%)

Threshold costs -62.1b (-14717.3%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	x
2.0ms	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))
2.0ms	(.f64 (.f64 #s(literal 2 binary64) x) x)

Results

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

Compiler

Compiled 10 to 10 computations (0% saved)

derivations73.0ms (1.7%)

Memory

26.8MiB live, 69.4MiB allocated; 10ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 10 to 10 computations (0% saved)

preprocess17.0ms (0.4%)

Memory: -7.8MiB live, 35.8MiB allocated; 4ms collecting garbage
Compiler: Compiled 37 to 37 computations (0% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample806.0ms (19.3%)

preprocess86.0ms (2.1%)

series4.0ms (0.1%)

rewrite276.0ms (6.6%)

eval68.0ms (1.6%)

prune6.0ms (0.1%)

series4.0ms (0.1%)

rewrite296.0ms (7.1%)

eval125.0ms (3%)

prune17.0ms (0.4%)

series4.0ms (0.1%)

rewrite1.2s (28.1%)

eval223.0ms (5.3%)

prune54.0ms (1.3%)

series5.0ms (0.1%)

rewrite418.0ms (10%)

eval434.0ms (10.4%)

prune21.0ms (0.5%)

regimes56.0ms (1.4%)

regimes7.0ms (0.2%)

derivations73.0ms (1.7%)

preprocess17.0ms (0.4%)

end0.0ms (0%)

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