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

0.5MiB live, 0.5MiB 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)

sample702.0ms (44.6%)

Memory

55.3MiB live, 476.2MiB allocated; 654ms collecting garbage

Samples

278.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 140.0ms

ival-mult!: 79.0ms (56.4% of total)

ival-sqrt: 59.0ms (42.1% of total)

adjust: 1.0ms (0.7% of total)

Bogosity

preprocess118.0ms (7.5%)

Memory

-43.5MiB live, 51.6MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	30	19
2	83	19
3	271	16
4	717	16
5	5020	16

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.3%	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))

Symmetry

(abs x)

Compiler

Compiled 10 to 10 computations (0% saved)

series3.0ms (0.2%)

Memory

3.8MiB live, 3.8MiB 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)

rewrite115.0ms (7.3%)

Memory

39.2MiB live, 84.9MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	61
0	22	60
1	55	57
2	176	57
3	590	57
4	2966	57
0	8295	51
1	13878	51

Stop Event

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

Counts

10 → 425

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

eval42.0ms (2.7%)

Memory: -35.8MiB live, 55.5MiB allocated; 8ms collecting garbage
Compiler: Compiled 3 515 to 1 008 computations (71.3% saved)

prune7.0ms (0.4%)

Memory

14.5MiB live, 14.5MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	417	5	422
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	418	5	423

Accuracy

100.0%

Counts

423 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(hypot.f64 x x)
▶	99.4%	(/.f64 (fabs.f64 (+.f64 x x)) (sqrt.f64 #s(literal 2 binary64)))
▶	55.3%	(sqrt.f64 (*.f64 (+.f64 x x) x))
▶	99.2%	#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)

series7.0ms (0.4%)

Memory

8.4MiB live, 8.4MiB allocated; 0ms collecting garbage

Counts

14 → 10

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	((sqrt (+ (* x x) (* x x))) x (sqrt (* (* 2 x) x)) (* (sqrt 2) x) (sqrt 2) 2 (sqrt (* (* 2 x) x)) (* (neg x) (sqrt 2)) (neg x) (sqrt (* (+ x x) x)) (* (+ x x) x) (+ x x) (/ (fabs (+ x x)) (sqrt 2)) (fabs (+ x x)))
2.0ms	x	@	-inf	((sqrt (+ (* x x) (* x x))) x (sqrt (* (* 2 x) x)) (* (sqrt 2) x) (sqrt 2) 2 (sqrt (* (* 2 x) x)) (* (neg x) (sqrt 2)) (neg x) (sqrt (* (+ x x) x)) (* (+ x x) x) (+ x x) (/ (fabs (+ x x)) (sqrt 2)) (fabs (+ x x)))
2.0ms	x	@	0	((sqrt (+ (* x x) (* x x))) x (sqrt (* (* 2 x) x)) (* (sqrt 2) x) (sqrt 2) 2 (sqrt (* (* 2 x) x)) (* (neg x) (sqrt 2)) (neg x) (sqrt (* (+ x x) x)) (* (+ x x) x) (+ x x) (/ (fabs (+ x x)) (sqrt 2)) (fabs (+ x x)))

Time

Variable

Point

Expression

3.0ms

inf

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

2.0ms

-inf

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

2.0ms

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

rewrite137.0ms (8.7%)

Memory

2.4MiB live, 99.3MiB allocated; 66ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	50	163
0	65	146
1	166	146
2	433	130
3	1718	130
0	8252	130
1	15672	130

Stop Event

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

Counts

24 → 795

Calls

Call 1

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

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

eval72.0ms (4.6%)

Memory: 8.7MiB live, 99.3MiB allocated; 9ms collecting garbage
Compiler: Compiled 5 043 to 1 734 computations (65.6% saved)

prune20.0ms (1.3%)

Memory

-23.7MiB live, 26.6MiB allocated; 8ms collecting garbage

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	753	2	755
Fresh	0	0	0
Picked	1	4	5
Done	0	0	0
Total	754	6	760

Accuracy

100.0%

Counts

760 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(hypot.f64 x x)
✓	55.3%	(sqrt.f64 (*.f64 (+.f64 x x) x))
▶	99.4%	#s(approx (sqrt (* (* 2 x) x)) (/.f64 (+.f64 x x) (sqrt.f64 #s(literal 2 binary64))))
▶	2.3%	#s(approx (sqrt (* (* 2 x) x)) (/.f64 (*.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
✓	99.2%	#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 46 to 46 computations (0% saved)

series5.0ms (0.3%)

Memory

6.7MiB live, 6.7MiB allocated; 0ms collecting garbage

Counts

10 → 7

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

2.0ms

inf

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

2.0ms

-inf

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

2.0ms

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

rewrite133.0ms (8.5%)

Memory

4.1MiB live, 95.8MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	116
0	40	118
1	98	118
2	281	103
3	1037	99
0	4206	91
1	9747	91

Stop Event

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

Counts

17 → 589

Calls

Call 1

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

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

eval74.0ms (4.7%)

Memory: 3.6MiB live, 94.7MiB allocated; 17ms collecting garbage
Compiler: Compiled 5 048 to 1 824 computations (63.9% saved)

prune13.0ms (0.8%)

Memory

23.4MiB live, 23.4MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	692	0	692
Fresh	0	0	0
Picked	0	2	2
Done	0	4	4
Total	692	6	698

Accuracy

100.0%

Counts

698 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(hypot.f64 x x)
✓	55.3%	(sqrt.f64 (*.f64 (+.f64 x x) x))
✓	99.4%	#s(approx (sqrt (* (* 2 x) x)) (/.f64 (+.f64 x x) (sqrt.f64 #s(literal 2 binary64))))
✓	2.3%	#s(approx (sqrt (* (* 2 x) x)) (/.f64 (*.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
✓	99.2%	#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 82 to 73 computations (11% saved)

regimes9.0ms (0.6%)

Memory

-35.9MiB live, 10.9MiB allocated; 2ms collecting garbage

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

Outputs
(hypot.f64 x x)

Calls

3 calls:

3.0ms	x
2.0ms	(.f64 (.f64 #s(literal 2 binary64) x) x)
2.0ms	(sqrt.f64 (.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 (0.4%)

Memory

10.3MiB live, 10.3MiB allocated; 0ms collecting garbage

Counts

7 → 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 x x) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (* (* 2 x) x)) (/.f64 (*.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fabs.f64 (+.f64 x x)) (sqrt.f64 #s(literal 2 binary64)))

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

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
99.4%	1	`(.f64 (.f64 #s(literal 2 binary64) x) x)`
99.4%	1	`(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))`
99.4%	1	`x`

Compiler

Compiled 10 to 10 computations (0% saved)

regimes5.0ms (0.3%)

Memory

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

Accuracy

Total -62.0b remaining (-12310.3%)

Threshold costs -62b (-12310.3%)

Counts

4 → 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))

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

Calls

3 calls:

2.0ms	x
1.0ms	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))
1.0ms	(.f64 (.f64 #s(literal 2 binary64) x) x)

Results

Accuracy	Segments	Branch
99.2%	1	`(.f64 (.f64 #s(literal 2 binary64) x) x)`
99.2%	1	`(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))`
99.2%	1	`x`

Compiler

Compiled 10 to 10 computations (0% saved)

derivations77.0ms (4.9%)

Memory

0.5MiB live, 46.8MiB allocated; 3ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 14 to 13 computations (7.1% saved)

preprocess25.0ms (1.6%)

Memory: -4.7MiB live, 41.0MiB allocated; 4ms collecting garbage
Compiler: Compiled 61 to 60 computations (1.6% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample702.0ms (44.6%)

preprocess118.0ms (7.5%)

series3.0ms (0.2%)

rewrite115.0ms (7.3%)

eval42.0ms (2.7%)

prune7.0ms (0.4%)

series7.0ms (0.4%)

rewrite137.0ms (8.7%)

eval72.0ms (4.6%)

prune20.0ms (1.3%)

series5.0ms (0.3%)

rewrite133.0ms (8.5%)

eval74.0ms (4.7%)

prune13.0ms (0.8%)

regimes9.0ms (0.6%)

regimes7.0ms (0.4%)

regimes5.0ms (0.3%)

derivations77.0ms (4.9%)

preprocess25.0ms (1.6%)

end0.0ms (0%)

Profiling