Metrics for sqrt A (should all be same)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB 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
100%	100%	0%	0%	0%	0%	0%	1

Compiler

Compiled 10 to 4 computations (60% saved)

sample719.0ms (9.5%)

Memory

1.3MiB live, 520.2MiB allocated; 236ms collecting garbage

Samples

413.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 226.0ms

ival-hypot: 225.0ms (99.5% of total)

adjust: 2.0ms (0.9% of total)

Bogosity

preprocess76.0ms (1%)

Memory

9.0MiB live, 43.3MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	38	19
2	117	19
3	209	19
4	601	19
5	3250	19

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.8%	(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))

Symmetry

(abs x)

Compiler

Compiled 10 to 8 computations (20% saved)

series72.0ms (1%)

Memory

8.5MiB live, 54.0MiB allocated; 3ms collecting garbage

Counts

4 → 5

Calls

Call 1

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

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

Calls

3 calls:

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

rewrite1.4s (18.5%)

Memory

4.6MiB live, 1 244.8MiB allocated; 382ms collecting garbage

Counts

4 → 669

Calls

Call 1

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

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

eval179.0ms (2.4%)

Memory: 14.2MiB live, 104.5MiB allocated; 39ms collecting garbage
Compiler: Compiled 6 959 to 1 623 computations (76.7% saved)

prune23.0ms (0.3%)

Memory

21.5MiB live, 21.5MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	666	5	671
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	667	5	672

Accuracy

100.0%

Counts

672 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	31.8%	(pow.f64 (.f64 (.f64 (+.f64 x x) (+.f64 x x)) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))
▶	100.0%	(hypot.f64 x x)
▶	55.8%	(sqrt.f64 (*.f64 (+.f64 x x) x))
▶	99.3%	#s(approx (sqrt (+ (* x x) (* x x))) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
▶	2.4%	#s(approx (sqrt (+ (* x x) (* x x))) (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64)))))

Compiler

Compiled 72 to 66 computations (8.3% saved)

series167.0ms (2.2%)

Memory

-24.6MiB live, 117.7MiB allocated; 22ms collecting garbage

Counts

18 → 11

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
44.0ms	x	@	0	((sqrt (+ (* x x) (* x x))) x (sqrt (+ (* x x) (* x x))) (* x (sqrt 2)) (sqrt 2) 2 (sqrt (* (+ x x) x)) (* (+ x x) x) (+ x x) (sqrt (+ (* x x) (* x x))) (* -1 (* x (sqrt 2))) -1 (pow (* (* (+ x x) (+ x x)) (* x x)) (/ 1/2 2)) (* (* (+ x x) (+ x x)) (* x x)) (* (+ x x) (+ x x)) (* x x) (/ 1/2 2) 1/2)
15.0ms	x	@	-inf	((sqrt (+ (* x x) (* x x))) x (sqrt (+ (* x x) (* x x))) (* x (sqrt 2)) (sqrt 2) 2 (sqrt (* (+ x x) x)) (* (+ x x) x) (+ x x) (sqrt (+ (* x x) (* x x))) (* -1 (* x (sqrt 2))) -1 (pow (* (* (+ x x) (+ x x)) (* x x)) (/ 1/2 2)) (* (* (+ x x) (+ x x)) (* x x)) (* (+ x x) (+ x x)) (* x x) (/ 1/2 2) 1/2)
9.0ms	x	@	inf	((sqrt (+ (* x x) (* x x))) x (sqrt (+ (* x x) (* x x))) (* x (sqrt 2)) (sqrt 2) 2 (sqrt (* (+ x x) x)) (* (+ x x) x) (+ x x) (sqrt (+ (* x x) (* x x))) (* -1 (* x (sqrt 2))) -1 (pow (* (* (+ x x) (+ x x)) (* x x)) (/ 1/2 2)) (* (* (+ x x) (+ x x)) (* x x)) (* (+ x x) (+ x x)) (* x x) (/ 1/2 2) 1/2)

Time

Variable

Point

Expression

44.0ms

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

15.0ms

-inf

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

9.0ms

inf

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

rewrite1.6s (20.8%)

Memory

0.2MiB live, 750.1MiB allocated; 273ms collecting garbage

Counts

18 → 2 523

Calls

Call 1

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

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

eval577.0ms (7.6%)

Memory: 3.3MiB live, 613.5MiB allocated; 193ms collecting garbage
Compiler: Compiled 28 922 to 7 109 computations (75.4% saved)

prune120.0ms (1.6%)

Memory

7.6MiB live, 144.7MiB allocated; 49ms collecting garbage

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	2 908	2	2 910
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	2 910	5	2 915

Accuracy

100.0%

Counts

2 915 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(hypot.f64 x x)
✓	55.8%	(sqrt.f64 (*.f64 (+.f64 x x) x))
▶	2.4%	#s(approx (sqrt (+ (* x x) (* x x))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x)))
✓	99.3%	#s(approx (sqrt (+ (* x x) (* x x))) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
▶	2.4%	#s(approx (sqrt (+ (* x x) (* x x))) (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))))))

Compiler

Compiled 42 to 38 computations (9.5% saved)

series102.0ms (1.3%)

Memory

19.9MiB live, 66.7MiB allocated; 9ms collecting garbage

Counts

15 → 6

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
8.0ms	x	@	0	((sqrt (+ (* x x) (* x x))) (* -1 (* x (sqrt (+ (* (/ 2 (sqrt 2)) (/ 1 (sqrt 2))) 1)))) -1 (* x (sqrt (+ (* (/ 2 (sqrt 2)) (/ 1 (sqrt 2))) 1))) x (sqrt (+ (* (/ 2 (sqrt 2)) (/ 1 (sqrt 2))) 1)) (+ (* (/ 2 (sqrt 2)) (/ 1 (sqrt 2))) 1) (/ 2 (sqrt 2)) 2 (sqrt 2) (/ 1 (sqrt 2)) 1 (sqrt (+ (* x x) (* x x))) (* (sqrt 2) (neg x)) (neg x))
5.0ms	x	@	inf	((sqrt (+ (* x x) (* x x))) (* -1 (* x (sqrt (+ (* (/ 2 (sqrt 2)) (/ 1 (sqrt 2))) 1)))) -1 (* x (sqrt (+ (* (/ 2 (sqrt 2)) (/ 1 (sqrt 2))) 1))) x (sqrt (+ (* (/ 2 (sqrt 2)) (/ 1 (sqrt 2))) 1)) (+ (* (/ 2 (sqrt 2)) (/ 1 (sqrt 2))) 1) (/ 2 (sqrt 2)) 2 (sqrt 2) (/ 1 (sqrt 2)) 1 (sqrt (+ (* x x) (* x x))) (* (sqrt 2) (neg x)) (neg x))
4.0ms	x	@	-inf	((sqrt (+ (* x x) (* x x))) (* -1 (* x (sqrt (+ (* (/ 2 (sqrt 2)) (/ 1 (sqrt 2))) 1)))) -1 (* x (sqrt (+ (* (/ 2 (sqrt 2)) (/ 1 (sqrt 2))) 1))) x (sqrt (+ (* (/ 2 (sqrt 2)) (/ 1 (sqrt 2))) 1)) (+ (* (/ 2 (sqrt 2)) (/ 1 (sqrt 2))) 1) (/ 2 (sqrt 2)) 2 (sqrt 2) (/ 1 (sqrt 2)) 1 (sqrt (+ (* x x) (* x x))) (* (sqrt 2) (neg x)) (neg x))

Time

Variable

Point

Expression

8.0ms

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

5.0ms

inf

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

4.0ms

-inf

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

rewrite945.0ms (12.5%)

Memory

-12.2MiB live, 421.8MiB allocated; 123ms collecting garbage

Counts

15 → 828

Calls

Call 1

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

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

eval101.0ms (1.3%)

Memory: -19.7MiB live, 75.5MiB allocated; 19ms collecting garbage
Compiler: Compiled 5 525 to 2 857 computations (48.3% saved)

prune25.0ms (0.3%)

Memory

14.8MiB live, 14.8MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	492	1	493
Fresh	0	0	0
Picked	1	1	2
Done	0	3	3
Total	493	5	498

Accuracy

100.0%

Counts

498 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(hypot.f64 x x)
✓	55.8%	(sqrt.f64 (*.f64 (+.f64 x x) x))
✓	2.4%	#s(approx (sqrt (+ (* x x) (* x x))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x)))
✓	99.3%	#s(approx (sqrt (+ (* x x) (* x x))) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
▶	2.4%	#s(approx (sqrt (+ (* x x) (* x x))) (.f64 #s(literal -1 binary64) (.f64 x (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))))

Compiler

Compiled 37 to 34 computations (8.1% saved)

series90.0ms (1.2%)

Memory

-7.6MiB live, 38.4MiB allocated; 5ms collecting garbage

Counts

8 → 5

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

2.0ms

inf

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

2.0ms

-inf

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

2.0ms

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

rewrite1.2s (15.8%)

Memory

16.3MiB live, 545.9MiB allocated; 115ms collecting garbage

Counts

8 → 435

Calls

Call 1

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

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

eval65.0ms (0.9%)

Memory: 15.4MiB live, 59.8MiB allocated; 6ms collecting garbage
Compiler: Compiled 2 793 to 1 456 computations (47.9% saved)

prune17.0ms (0.2%)

Memory

-20.2MiB live, 23.7MiB allocated; 9ms collecting garbage

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	337	1	338
Fresh	0	0	0
Picked	1	0	1
Done	0	4	4
Total	338	5	343

Accuracy

100.0%

Counts

343 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(hypot.f64 x x)
✓	55.8%	(sqrt.f64 (*.f64 (+.f64 x x) x))
✓	2.4%	#s(approx (sqrt (+ (* x x) (* x x))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x)))
✓	99.3%	#s(approx (sqrt (+ (* x x) (* x x))) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
	2.4%	#s(approx (sqrt (+ (* x x) (* x x))) #s(approx (* -1 (* x (/ 2 (sqrt 2)))) (*.f64 #s(literal -2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))))

Compiler

Compiled 108 to 88 computations (18.5% saved)

regimes45.0ms (0.6%)

Memory

10.3MiB live, 50.4MiB allocated; 7ms collecting garbage

Counts

10 → 1

Calls

Call 1

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

Outputs
(hypot.f64 x x)

Calls

4 calls:

23.0ms	(*.f64 x x)
9.0ms	(+.f64 (.f64 x x) (.f64 x x))
6.0ms	x
5.0ms	(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))

Results

Accuracy	Segments	Branch
100.0%	1	`(*.f64 x x)`
100.0%	1	`(+.f64 (.f64 x x) (.f64 x x))`
100.0%	1	`(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))`
100.0%	1	`x`

Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes30.0ms (0.4%)

Memory

-31.1MiB live, 27.5MiB allocated; 14ms collecting garbage

Accuracy

Total -62.0b remaining (-14053.7%)

Threshold costs -62b (-14053.7%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	x
4.0ms	(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))
4.0ms	(+.f64 (.f64 x x) (.f64 x x))
3.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
99.3%	1	`(*.f64 x x)`
99.3%	1	`(+.f64 (.f64 x x) (.f64 x x))`
99.3%	1	`(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))`
99.3%	1	`x`

Compiler

Compiled 12 to 10 computations (16.7% saved)

derivations1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 10 to 9 computations (10% saved)

preprocess54.0ms (0.7%)

Memory: 40.8MiB live, 40.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 37 to 33 computations (10.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample719.0ms (9.5%)

preprocess76.0ms (1%)

series72.0ms (1%)

rewrite1.4s (18.5%)

eval179.0ms (2.4%)

prune23.0ms (0.3%)

series167.0ms (2.2%)

rewrite1.6s (20.8%)

eval577.0ms (7.6%)

prune120.0ms (1.6%)

series102.0ms (1.3%)

rewrite945.0ms (12.5%)

eval101.0ms (1.3%)

prune25.0ms (0.3%)

series90.0ms (1.2%)

rewrite1.2s (15.8%)

eval65.0ms (0.9%)

prune17.0ms (0.2%)

regimes45.0ms (0.6%)

regimes30.0ms (0.4%)

derivations1.0ms (0%)

preprocess54.0ms (0.7%)

end0.0ms (0%)

Profiling