Metrics for sqrt B (should all be same)

start0.0ms (0.0%)

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

analyze0.0ms (0.0%)

Memory

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

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0.0%	0.0%	100.0%	0.0%	0.0%	0.0%	0.0%	0
0.0%	0.0%	100.0%	0.0%	0.0%	0.0%	0.0%	1
100.0%	100.0%	0.0%	0.0%	0.0%	0.0%	0.0%	2

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample552.0ms (25.1%)

Memory

7.7MiB live, 1 008.0MiB allocated; 226ms collecting garbage

Samples

361.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 229.0ms

ival-sqrt: 114.0ms (49.8% of total)

ival-mult!: 114.0ms (49.8% of total)

adjust: 1.0ms (0.4% of total)

Bogosity

preprocess32.0ms (1.4%)

Memory

-15.1MiB live, 31.4MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	30	19
2	83	19
3	260	19
4	676	19

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.0%	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))

Symmetry

(abs x)

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample0.0ms (0.0%)

Memory

0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
2

Outputs
#s(literal 2 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 3 to 3 computations (0.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series8.0ms (0.4%)

Memory

17.8MiB live, 17.8MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	45

Stop Event

1×	iter-limit

Counts

5 → 5

Calls

Call 1

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

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

Calls

3 calls:

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

rewrite331.0ms (15.1%)

Memory

38.1MiB live, 592.4MiB allocated; 104ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	16
0	8	16
1	21	16
2	84	16
3	272	16
4	1109	16
0	4044	13

Stop Event

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

Counts

5 → 2 411

Calls

Call 1

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

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

eval318.0ms (14.5%)

Memory: -25.8MiB live, 557.9MiB allocated; 202ms collecting garbage
Compiler: Compiled 40 824 to 4 496 computations (89.0% saved)

prune67.0ms (3.0%)

Memory

8.2MiB live, 138.7MiB allocated; 30ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	2 406	6	2 412
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	2 407	6	2 413

Accuracy

100.0%

Counts

2 413 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(hypot.f64 x x)
	0.0%	(*.f64 (sqrt.f64 (-.f64 (neg.f64 x) x)) (sqrt.f64 (neg.f64 x)))
▶	99.5%	(*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x))
▶	99.3%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x))
▶	56.0%	(sqrt.f64 (*.f64 (+.f64 x x) x))
▶	99.3%	#s(approx (sqrt (* (* 2 x) x)) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))

Compiler

Compiled 82 to 62 computations (24.4% saved)

sample0.0ms (0.0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
2
(sqrt 2)

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

Samples

0.0ms

1×

valid

Compiler

Compiled 5 to 4 computations (20.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series10.0ms (0.5%)

Memory

36.4MiB live, 36.4MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	149

Stop Event

1×	iter-limit

Counts

14 → 15

Calls

Call 1

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

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

Calls

3 calls:

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

rewrite167.0ms (7.6%)

Memory

-56.0MiB live, 297.0MiB allocated; 71ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	56
0	30	42
1	91	42
2	272	41
3	854	41
4	3093	41
0	4604	41

Stop Event

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

Counts

14 → 1 181

Calls

Call 1

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

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

eval73.0ms (3.3%)

Memory: 19.5MiB live, 154.0MiB allocated; 17ms collecting garbage
Compiler: Compiled 14 565 to 2 504 computations (82.8% saved)

prune15.0ms (0.7%)

Memory

27.9MiB live, 27.9MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	964	5	969
Fresh	1	0	1
Picked	5	0	5
Done	-3	3	0
Total	967	8	975

Accuracy

100.0%

Counts

975 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(hypot.f64 x x)
✓	99.5%	(*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x))
▶	0.0%	(.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) x)) (sqrt.f64 (neg.f64 x)))
▶	99.0%	(.f64 #s(approx (sqrt (+ x x)) (.f64 x (sqrt.f64 (/.f64 #s(literal 2 binary64) x)))) (sqrt.f64 x))
▶	99.3%	(*.f64 #s(literal 6369051672525773/4503599627370496 binary64) (fabs.f64 x))
✓	56.0%	(sqrt.f64 (*.f64 (+.f64 x x) x))
▶	99.1%	#s(approx (sqrt (* (* 2 x) x)) (.f64 x (.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))))
▶	99.3%	#s(approx (sqrt (* (* 2 x) x)) (*.f64 x #s(literal 6369051672525773/4503599627370496 binary64)))

Compiler

Compiled 120 to 91 computations (24.2% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

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

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

Samples

0.0ms

1×

valid

Compiler

Compiled 17 to 8 computations (52.9% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series37.0ms (1.7%)

Memory

-39.3MiB live, 16.8MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	85	306

Stop Event

1×	iter-limit

Counts

24 → 28

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable	Point
27.0ms	x	0
3.0ms	x	-inf
3.0ms	x	inf

rewrite118.0ms (5.4%)

Memory

1.9MiB live, 190.1MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	120
0	46	105
1	117	105
2	349	101
3	1683	93
0	4138	88

Stop Event

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

Counts

24 → 849

Calls

Call 1

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

Outputs
x
#s(literal 6369051672525773/4503599627370496 binary64)
(*.f64 #s(literal 6369051672525773/4503599627370496 binary64) x)
(*.f64 x #s(literal 6369051672525773/4503599627370496 binary64))
#s(approx (sqrt (* (* 2 x) x)) (*.f64 #s(literal 6369051672525773/4503599627370496 binary64) x))
x
(*.f64 #s(literal 6369051672525773/4503599627370496 binary64) x)
(*.f64 x #s(literal 6369051672525773/4503599627370496 binary64))
#s(literal -2 binary64)
(*.f64 (pow.f64 (sqrt.f64 (-.f64 x x)) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 (-.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 x x)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (-.f64 x x)) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (.f64 x (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 8 binary64))))) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 8 binary64))))))
(.f64 (pow.f64 (.f64 x (sqrt.f64 (sqrt.f64 #s(literal 8 binary64)))) #s(literal 1 binary64)) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))
(.f64 (pow.f64 (.f64 x (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (neg.f64 (.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) x)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 8 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (-.f64 x x))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (-.f64 x x))) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) x) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 8 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 x x)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (-.f64 x x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 x x)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 x x)))
(*.f64 (pow.f64 #s(literal -2 binary64) #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
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(.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 x x)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 8 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 8 binary64))) #s(literal 1/2 binary64)) (pow.f64 (.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 x x)) #s(literal 1/2 binary64)))
(.f64 (neg.f64 (.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) x)) (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (pow.f64 (.f64 (-.f64 x x) x) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 (-.f64 x x) x) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 (.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 8 binary64)))) (*.f64 x x))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 #s(literal 8 binary64))) (*.f64 x x))))
(.f64 (sqrt.f64 (.f64 x x)) (sqrt.f64 #s(literal -2 binary64)))
(.f64 (sqrt.f64 (.f64 x x)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 8 binary64)))) (*.f64 x x)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (.f64 (sqrt.f64 (sqrt.f64 #s(literal 8 binary64))) (*.f64 x x)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 #s(literal -2 binary64) #s(literal 1/2 binary64)) (pow.f64 (.f64 x x) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 x x) #s(literal 1/2 binary64)) (pow.f64 #s(literal -2 binary64) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 x x) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) x) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))
(.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) x)))
(.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (.f64 x x)))
(.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) x))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (.f64 #s(literal 1 binary64) (*.f64 x x))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (.f64 x x)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (.f64 x x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(*.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x x)))
(*.f64 (sqrt.f64 (-.f64 x x)) (sqrt.f64 x))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (sqrt.f64 #s(literal 1 binary64)))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))) #s(literal 2 binary64))
(pow.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 (-.f64 x x) x) (*.f64 (-.f64 x x) x)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1 binary64))
(pow.f64 (*.f64 (-.f64 x x) x) #s(literal 1/2 binary64))
(neg.f64 (.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) x))))
(neg.f64 (.f64 (neg.f64 (.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) x)) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(neg.f64 (*.f64 x (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(neg.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) x))
(sqrt.f64 (*.f64 (-.f64 x x) x))
(fabs.f64 (*.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) (neg.f64 (neg.f64 (sqrt.f64 (-.f64 x x))))))
(fabs.f64 (*.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 (-.f64 x x)))))
(fabs.f64 (*.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) (sqrt.f64 (-.f64 x x))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (neg.f64 (sqrt.f64 (-.f64 x x))))))
(fabs.f64 (*.f64 (sqrt.f64 x) (neg.f64 (neg.f64 (sqrt.f64 (-.f64 x x))))))
(fabs.f64 (*.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 x x)))) (neg.f64 (neg.f64 (sqrt.f64 x)))))
(fabs.f64 (*.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 x x)))) (neg.f64 (sqrt.f64 x))))
(fabs.f64 (*.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 x x)))) (sqrt.f64 x)))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 x x))) (neg.f64 (neg.f64 (sqrt.f64 x)))))
(fabs.f64 (*.f64 (sqrt.f64 (-.f64 x x)) (neg.f64 (neg.f64 (sqrt.f64 x)))))
(fabs.f64 (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))))
(fabs.f64 (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))))
(fabs.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))))
(fabs.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))))
(fabs.f64 (.f64 (.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fabs.f64 (.f64 (.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64))))
(fabs.f64 (.f64 (.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fabs.f64 (.f64 (.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))) (sqrt.f64 #s(literal 2 binary64))))
(fabs.f64 (*.f64 x (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) x))
(fabs.f64 (neg.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 (-.f64 x x)))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (-.f64 x x))))
(fabs.f64 (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 x x)))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 x x))) (neg.f64 (sqrt.f64 x))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 x x))) (sqrt.f64 x)))
(fabs.f64 (*.f64 (sqrt.f64 (-.f64 x x)) (neg.f64 (sqrt.f64 x))))
(fabs.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(fabs.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(exp.f64 (.f64 (log.f64 (.f64 (-.f64 x x) x)) #s(literal 1/2 binary64)))
(hypot.f64 x x)
#s(approx (sqrt (* (* 2 x) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))

eval52.0ms (2.4%)

Memory: 21.0MiB live, 110.4MiB allocated; 14ms collecting garbage
Compiler: Compiled 12 886 to 2 800 computations (78.3% saved)

prune12.0ms (0.6%)

Memory

-20.5MiB live, 25.4MiB allocated; 4ms collecting garbage

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	658	1	659
Fresh	0	0	0
Picked	5	0	5
Done	-3	6	3
Total	660	7	667

Accuracy

100.0%

Counts

667 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(hypot.f64 x x)
✓	99.5%	(*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x))
✓	0.0%	(.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) x)) (sqrt.f64 (neg.f64 x)))
✓	99.3%	(*.f64 #s(literal 6369051672525773/4503599627370496 binary64) (fabs.f64 x))
✓	56.0%	(sqrt.f64 (*.f64 (+.f64 x x) x))
▶	99.1%	#s(approx (sqrt (* (* 2 x) x)) (.f64 x (.f64 #s(literal 5355712719992597/4503599627370496 binary64) #s(literal 5355712719992597/4503599627370496 binary64))))
✓	99.3%	#s(approx (sqrt (* (* 2 x) x)) (*.f64 x #s(literal 6369051672525773/4503599627370496 binary64)))

Compiler

Compiled 50 to 39 computations (22.0% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

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

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

Samples

0.0ms

1×

valid

Compiler

Compiled 6 to 4 computations (33.3% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series5.0ms (0.2%)

Memory

11.2MiB live, 11.2MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	34

Stop Event

1×	iter-limit

Counts

5 → 4

Calls

Call 1

Inputs
x
#s(literal 5355712719992597/4503599627370496 binary64)
(*.f64 #s(literal 5355712719992597/4503599627370496 binary64) #s(literal 5355712719992597/4503599627370496 binary64))
(.f64 x (.f64 #s(literal 5355712719992597/4503599627370496 binary64) #s(literal 5355712719992597/4503599627370496 binary64)))
#s(approx (sqrt (* (* 2 x) x)) (.f64 x (.f64 #s(literal 5355712719992597/4503599627370496 binary64) #s(literal 5355712719992597/4503599627370496 binary64))))

Outputs
#s(approx x x)
#s(approx (* x (* 5355712719992597/4503599627370496 5355712719992597/4503599627370496)) (*.f64 #s(literal 28683658739090501717467734804409/20282409603651670423947251286016 binary64) x))
#s(approx (sqrt (* (* 2 x) x)) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (* (* 2 x) x)) (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64)))))

Calls

3 calls:

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

rewrite191.0ms (8.7%)

Memory

33.3MiB live, 222.0MiB allocated; 62ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
0	12	16
1	26	16
2	89	16
3	277	16
4	1117	16
0	4054	13

Stop Event

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

Counts

5 → 9

Calls

Call 1

Inputs
x
#s(literal 5355712719992597/4503599627370496 binary64)
(*.f64 #s(literal 5355712719992597/4503599627370496 binary64) #s(literal 5355712719992597/4503599627370496 binary64))
(.f64 x (.f64 #s(literal 5355712719992597/4503599627370496 binary64) #s(literal 5355712719992597/4503599627370496 binary64)))
#s(approx (sqrt (* (* 2 x) x)) (.f64 x (.f64 #s(literal 5355712719992597/4503599627370496 binary64) #s(literal 5355712719992597/4503599627370496 binary64))))

Outputs
x
#s(literal 5355712719992597/4503599627370496 binary64)
#s(literal 28683658739090501717467734804409/20282409603651670423947251286016 binary64)
(.f64 #s(literal 1 binary64) (.f64 #s(literal 28683658739090501717467734804409/20282409603651670423947251286016 binary64) x))
(.f64 (.f64 #s(literal 28683658739090501717467734804409/20282409603651670423947251286016 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 28683658739090501717467734804409/20282409603651670423947251286016 binary64) x)
(*.f64 x #s(literal 28683658739090501717467734804409/20282409603651670423947251286016 binary64))
(/.f64 (*.f64 #s(literal 28683658739090501717467734804409/20282409603651670423947251286016 binary64) x) #s(literal 1 binary64))
#s(approx (sqrt (* (* 2 x) x)) (*.f64 #s(literal 28683658739090501717467734804409/20282409603651670423947251286016 binary64) x))

eval1.0ms (0.0%)

Memory: 1.6MiB live, 1.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 132 to 39 computations (70.5% saved)

prune50.0ms (2.3%)

Memory

-46.5MiB live, 5.6MiB allocated; 38ms collecting garbage

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	10	1	11
Fresh	0	0	0
Picked	1	0	1
Done	0	6	6
Total	11	7	18

Accuracy

100.0%

Counts

18 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(hypot.f64 x x)
✓	99.5%	(*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x))
✓	0.0%	(.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) x)) (sqrt.f64 (neg.f64 x)))
✓	99.3%	(*.f64 #s(literal 6369051672525773/4503599627370496 binary64) (fabs.f64 x))
✓	56.0%	(sqrt.f64 (*.f64 (+.f64 x x) x))
✓	99.3%	#s(approx (sqrt (* (* 2 x) x)) (*.f64 x #s(literal 6369051672525773/4503599627370496 binary64)))
	99.1%	#s(approx (sqrt (* (* 2 x) x)) (*.f64 x #s(literal 28683658739090501717467734804409/20282409603651670423947251286016 binary64)))

Compiler

Compiled 48 to 38 computations (20.8% saved)

regimes41.0ms (1.9%)

Memory

28.9MiB live, 76.5MiB allocated; 6ms collecting garbage

Counts

1 → 1

8 → 1

13 → 1

14 → 1

Calls

Call 1

Inputs
#s(approx (sqrt (* (* 2 x) x)) (*.f64 x #s(literal 28683658739090501717467734804409/20282409603651670423947251286016 binary64)))

Outputs
#s(approx (sqrt (* (* 2 x) x)) (*.f64 x #s(literal 28683658739090501717467734804409/20282409603651670423947251286016 binary64)))

Call 2

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

Call 3

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

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

Call 4

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

Outputs
(hypot.f64 x x)

Calls

12 calls:

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

Results

Accuracy	Segments	Branch
99.1%	1	`(.f64 (.f64 #s(literal 2 binary64) x) x)`
99.1%	1	`(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))`
99.1%	1	`x`
99.3%	1	`(.f64 (.f64 #s(literal 2 binary64) x) x)`
99.3%	1	`(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))`
99.3%	1	`x`
99.5%	1	`(.f64 (.f64 #s(literal 2 binary64) x) x)`
99.5%	1	`(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))`
99.5%	1	`x`
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 169 to 92 computations (45.6% saved)

derivations88.0ms (4.0%)

Memory

-28.1MiB live, 65.0MiB allocated; 6ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 30 to 16 computations (46.7% saved)

preprocess24.0ms (1.1%)

Memory: 3.0MiB live, 52.7MiB allocated; 8ms collecting garbage
Symmetry: (abs x)
Compiler: Compiled 105 to 68 computations (35.2% saved)

end0.0ms (0.0%)

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

start0.0ms (0.0%)

analyze0.0ms (0.0%)

sample552.0ms (25.1%)

preprocess32.0ms (1.4%)

sample0.0ms (0.0%)

series8.0ms (0.4%)

rewrite331.0ms (15.1%)

eval318.0ms (14.5%)

prune67.0ms (3.0%)

sample0.0ms (0.0%)

series10.0ms (0.5%)

rewrite167.0ms (7.6%)

eval73.0ms (3.3%)

prune15.0ms (0.7%)

sample0.0ms (0.0%)

series37.0ms (1.7%)

rewrite118.0ms (5.4%)

eval52.0ms (2.4%)

prune12.0ms (0.6%)

sample0.0ms (0.0%)

series5.0ms (0.2%)

rewrite191.0ms (8.7%)

eval1.0ms (0.0%)

prune50.0ms (2.3%)

regimes41.0ms (1.9%)

derivations88.0ms (4.0%)

preprocess24.0ms (1.1%)

end0.0ms (0.0%)

Profiling