Metrics for sqrt C (should all be same)

start0.0ms (0.0%)

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

analyze0.0ms (0.0%)

Memory

0.1MiB live, 0.1MiB 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)

sample419.0ms (38.9%)

Memory

9.4MiB live, 146.2MiB allocated; 10ms collecting garbage

Samples

264.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 139.0ms

ival-mult!: 72.0ms (51.6% of total, 13.3 MiB)

ival-sqrt: 62.0ms (44.4% of total, 10.5 MiB)

adjust: 5.0ms (3.6% of total, 1.3 MiB)

Bogosity

preprocess27.0ms (2.6%)

Memory

-3.1MiB live, 6.9MiB allocated; 1ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	35	19
2	114	19
3	252	19
4	1070	19

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.1%	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))

Symmetry

(abs x)

Compiler

Compiled 12 to 10 computations (16.7% saved)

series11.0ms (1.0%)

Memory

-1.7MiB live, 5.9MiB allocated; 1ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	48

Stop Event

1×	iter-limit

Counts

5 → 6

Calls

Call 1

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

Outputs
#s(approx 2 #s(literal 0 binary64))
#s(approx x x)
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#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
0.0ms	x	-inf

rewrite88.0ms (8.1%)

Memory

5.5MiB live, 36.0MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	16
0	8	16
1	25	16
2	129	16
3	536	16
4	1804	16
0	4021	15

Stop Event

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

Counts

5 → 482

Calls

Call 1

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

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

eval36.0ms (3.3%)

Memory: 1.6MiB live, 32.0MiB allocated; 3ms collecting garbage
Compiler: Compiled 6 050 to 1 473 computations (75.7% saved)

prune7.0ms (0.7%)

Memory

-5.2MiB live, 10.3MiB allocated; 1ms collecting garbage

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	477	7	484
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	478	7	485

Accuracy

99.9%

Counts

485 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.9%	(/.f64 (sqrt.f64 (.f64 (.f64 (+.f64 x x) x) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
▶	99.5%	(*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x))
	99.0%	(.f64 (sqrt.f64 (.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64)))))
▶	0.0%	(.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) x)) (sqrt.f64 (neg.f64 x)))
▶	99.4%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x))
▶	54.1%	(sqrt.f64 (*.f64 (+.f64 x x) x))
▶	99.4%	#s(approx (sqrt (* 2 (* x x))) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))

Compiler

Compiled 108 to 48 computations (55.6% saved)

series10.0ms (0.9%)

Memory

5.9MiB live, 5.9MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	272

Stop Event

1×	iter-limit

Counts

19 → 26

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable	Point
2.0ms	x	0
2.0ms	x	inf
1.0ms	x	-inf

rewrite45.0ms (4.1%)

Memory

-5.0MiB live, 7.6MiB allocated; 1ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	74
0	37	30
1	91	29
2	282	28
3	1117	22
4	3145	22
0	4058	22

Stop Event

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

Counts

19 → 79

Calls

Call 1

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

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

eval7.0ms (0.7%)

Memory: 0.0MiB live, 7.9MiB allocated; 1ms collecting garbage
Compiler: Compiled 1 216 to 262 computations (78.5% saved)

prune4.0ms (0.4%)

Memory

-3.1MiB live, 4.7MiB allocated; 0ms collecting garbage

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	128	5	133
Fresh	1	1	2
Picked	0	5	5
Done	0	0	0
Total	129	11	140

Accuracy

100.0%

Counts

140 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.1%	(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fabs.f64 x))
✓	99.5%	(*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x))
	99.0%	(.f64 (sqrt.f64 (.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64)))))
✓	0.0%	(.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) x)) (sqrt.f64 (neg.f64 x)))
✓	99.4%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x))
▶	99.3%	(.f64 #s(approx (sqrt (+ x x)) (.f64 x (sqrt.f64 (/.f64 #s(literal 2 binary64) x)))) (sqrt.f64 x))
✓	54.1%	(sqrt.f64 (*.f64 (+.f64 x x) x))
▶	99.1%	#s(approx (sqrt (* 2 (* x x))) (*.f64 x (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
▶	3.9%	#s(approx (sqrt (* 2 (* x x))) (*.f64 x (sqrt.f64 #s(approx 2 #s(literal 0 binary64)))))
✓	99.4%	#s(approx (sqrt (* 2 (* x x))) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
▶	20.3%	#s(approx (sqrt (* 2 (* x x))) x)

Compiler

Compiled 110 to 49 computations (55.5% saved)

series10.0ms (0.9%)

Memory

-1.5MiB live, 6.0MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	188

Stop Event

1×	iter-limit

Counts

20 → 18

Calls

Call 1

Inputs
#s(literal 2 binary64)
x
#s(literal 0 binary64)
#s(approx 2 #s(literal 0 binary64))
(sqrt.f64 #s(literal 2 binary64))
(fabs.f64 x)
(sqrt.f64 x)
(/.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))))
(/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (sqrt (* 2 (* x x))) x)
(*.f64 x (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (* 2 (* x x))) (*.f64 x (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fabs.f64 x))
(sqrt.f64 #s(approx 2 #s(literal 0 binary64)))
(*.f64 x (sqrt.f64 #s(approx 2 #s(literal 0 binary64))))
#s(approx (sqrt (* 2 (* x x))) (*.f64 x (sqrt.f64 #s(approx 2 #s(literal 0 binary64)))))
(.f64 #s(approx (sqrt (+ x x)) (.f64 x (sqrt.f64 (/.f64 #s(literal 2 binary64) x)))) (sqrt.f64 x))

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

Calls

3 calls:

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

rewrite92.0ms (8.5%)

Memory

0.2MiB live, 39.9MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	25	111
0	37	107
1	103	107
2	353	101
3	1385	95
0	4363	95

Stop Event

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

Counts

20 → 717

Calls

Call 1

Inputs
#s(literal 2 binary64)
x
#s(literal 0 binary64)
#s(approx 2 #s(literal 0 binary64))
(sqrt.f64 #s(literal 2 binary64))
(fabs.f64 x)
(sqrt.f64 x)
(/.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))))
(/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (sqrt (* 2 (* x x))) x)
(*.f64 x (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (* 2 (* x x))) (*.f64 x (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fabs.f64 x))
(sqrt.f64 #s(approx 2 #s(literal 0 binary64)))
(*.f64 x (sqrt.f64 #s(approx 2 #s(literal 0 binary64))))
#s(approx (sqrt (* 2 (* x x))) (*.f64 x (sqrt.f64 #s(approx 2 #s(literal 0 binary64)))))
(.f64 #s(approx (sqrt (+ x x)) (.f64 x (sqrt.f64 (/.f64 #s(literal 2 binary64) x)))) (sqrt.f64 x))

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

eval42.0ms (3.9%)

Memory: 4.4MiB live, 41.0MiB allocated; 5ms collecting garbage
Compiler: Compiled 8 552 to 1 968 computations (77.0% saved)

prune9.0ms (0.9%)

Memory

4.5MiB live, 12.4MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	628	4	632
Fresh	1	0	1
Picked	3	2	5
Done	2	3	5
Total	634	9	643

Accuracy

100.0%

Counts

643 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.4%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x))
✓	54.1%	(sqrt.f64 (*.f64 (+.f64 x x) x))
▶	99.4%	#s(approx (* (/ 2 (sqrt 2)) (fabs x)) (*.f64 #s(literal 2 binary64) (/.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64)))))
▶	99.4%	#s(approx (sqrt (* 2 (* x x))) (/.f64 (+.f64 x x) (sqrt.f64 #s(literal 2 binary64))))
▶	99.3%	#s(approx (sqrt (* 2 (* x x))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 x x))))
▶	99.3%	#s(approx (sqrt (* 2 (* x x))) (-.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (/.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))))
✓	3.9%	#s(approx (sqrt (* 2 (* x x))) (*.f64 x (sqrt.f64 #s(approx 2 #s(literal 0 binary64)))))
✓	99.4%	#s(approx (sqrt (* 2 (* x x))) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
✓	20.3%	#s(approx (sqrt (* 2 (* x x))) x)

Compiler

Compiled 51 to 24 computations (52.9% saved)

series10.0ms (0.9%)

Memory

-1.1MiB live, 6.1MiB allocated; 1ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	167

Stop Event

1×	iter-limit

Counts

21 → 15

Calls

Call 1

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

Outputs
#s(approx 2 #s(literal 0 binary64))
#s(approx x x)
#s(approx (neg x) (*.f64 #s(literal -1 binary64) x))
#s(approx (fabs x) (fabs.f64 x))
#s(approx (+ x x) (*.f64 #s(literal 2 binary64) x))
#s(approx (/ (fabs x) (sqrt 2)) (/.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* 2 (/ (fabs x) (sqrt 2))) (*.f64 #s(literal 2 binary64) (/.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (sqrt 1/2) x) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (/ (neg x) (sqrt 2)) (*.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (sqrt 2) (+ x x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
#s(approx (/ 1 (/ (sqrt 2) (+ x x))) (*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (- (* (sqrt 1/2) x) (/ (neg x) (sqrt 2))) (*.f64 x (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (sqrt (* 2 (* x x))) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
#s(approx (- (* (sqrt 1/2) x) (/ (neg x) (sqrt 2))) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (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
3.0ms	x	0
2.0ms	x	inf
1.0ms	x	-inf

rewrite90.0ms (8.3%)

Memory

-6.8MiB live, 31.6MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	28	126
0	41	114
1	145	114
2	596	92
3	2978	91
0	4111	91

Stop Event

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

Counts

21 → 663

Calls

Call 1

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

Outputs
#s(literal 2 binary64)
x
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -2 binary64))
(*.f64 (pow.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal -2 binary64) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
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(/.f64 (+.f64 (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x))) #s(literal -2 binary64))
(/.f64 (-.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal -2 binary64))
(/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 x x)) #s(literal 2 binary64)) #s(literal 4 binary64))
(/.f64 (.f64 (.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 x x) #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 x x))) #s(literal 4 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) x)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal 2 binary64) (+.f64 x x)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 x x))) #s(literal -2 binary64))
(/.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 x x)) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (+.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 x))))
(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (-.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)))
(/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) (pow.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal -2 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 2 binary64)))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 x))))
(/.f64 (*.f64 #s(literal -2 binary64) x) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 x)))
(/.f64 (+.f64 x x) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 x (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)))
(neg.f64 (.f64 (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
(neg.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal -1 binary64)))
(neg.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) x))
(neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x)))
(neg.f64 (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
(-.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)))
(-.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1 binary64)))
(-.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)) #s(literal -1 binary64)))
(+.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 0 binary64)))
(+.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (/.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)))
(+.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal -1 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal -1 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) x))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 x)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (.f64 #s(literal -2 binary64) x))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 x x)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (pow.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 0 binary64)))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 x x))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 2 binary64))
(.f64 #s(literal -2 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 x)))
(.f64 (.f64 #s(literal -2 binary64) x) (*.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal -2 binary64) x) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 x))
(.f64 #s(literal -1 binary64) (.f64 (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (+.f64 x x) (sqrt.f64 #s(literal 1/2 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 #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1 binary64))
(/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 x x))) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 x x)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 x x)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 x x)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 x x) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (+.f64 (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -2 binary64))
(/.f64 (-.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) (pow.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (+.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 x))))))
(/.f64 (+.f64 (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) x)) #s(literal -2 binary64))
(/.f64 (+.f64 (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x))) #s(literal -2 binary64))
(/.f64 (-.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal -2 binary64))
(/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 x x)) #s(literal 2 binary64)) #s(literal 4 binary64))
(/.f64 (.f64 (.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 x x) #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 x x))) #s(literal 4 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) x)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal 2 binary64) (+.f64 x x)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 x x))) #s(literal -2 binary64))
(/.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 x x)) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (+.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 x))))
(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (-.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)))
(/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) (pow.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal -2 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 2 binary64)))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 x))))
(/.f64 (*.f64 #s(literal -2 binary64) x) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 x)))
(/.f64 (+.f64 x x) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 x (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)))
(neg.f64 (.f64 (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
(neg.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal -1 binary64)))
(neg.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) x))
(neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x)))
(neg.f64 (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
(-.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)))
(-.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1 binary64)))
(-.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)) #s(literal -1 binary64)))
(+.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 0 binary64)))
(+.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (/.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)))
(+.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))
#s(approx (* (/ 2 (sqrt 2)) (fabs x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
#s(approx (* (/ 2 (sqrt 2)) (fabs x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
#s(approx (* (/ 2 (sqrt 2)) (fabs x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))

eval45.0ms (4.1%)

Memory: 0.0MiB live, 45.6MiB allocated; 6ms collecting garbage
Compiler: Compiled 8 023 to 1 634 computations (79.6% saved)

prune9.0ms (0.9%)

Memory

-1.2MiB live, 14.6MiB allocated; 1ms collecting garbage

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	658	3	661
Fresh	0	0	0
Picked	3	1	4
Done	0	5	5
Total	661	9	670

Accuracy

100.0%

Counts

670 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.4%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x))
✓	54.1%	(sqrt.f64 (*.f64 (+.f64 x x) x))
✓	99.4%	#s(approx (* (/ 2 (sqrt 2)) (fabs x)) (*.f64 #s(literal 2 binary64) (/.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64)))))
	99.3%	#s(approx (sqrt (* 2 (* x x))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))
	99.4%	#s(approx (sqrt (* 2 (* x x))) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))))
	99.3%	#s(approx (sqrt (* 2 (* x x))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)))
✓	3.9%	#s(approx (sqrt (* 2 (* x x))) (*.f64 x (sqrt.f64 #s(approx 2 #s(literal 0 binary64)))))
✓	99.4%	#s(approx (sqrt (* 2 (* x x))) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
✓	20.3%	#s(approx (sqrt (* 2 (* x x))) x)

Compiler

Compiled 43 to 22 computations (48.8% saved)

regimes38.0ms (3.5%)

Memory

4.9MiB live, 29.9MiB allocated; 0ms collecting garbage

Counts

1 → 1

10 → 1

20 → 1

Calls

Call 1

Inputs
#s(approx (sqrt (* 2 (* x x))) x)

Outputs
#s(approx (sqrt (* 2 (* x x))) x)

Call 2

Inputs
#s(approx (sqrt (* 2 (* x x))) x)
#s(approx (sqrt (* 2 (* x x))) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (* 2 (* x x))) (*.f64 x (sqrt.f64 #s(approx 2 #s(literal 0 binary64)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x))
(sqrt.f64 (*.f64 (+.f64 x x) x))
(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))
#s(approx (sqrt (* 2 (* x x))) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (* 2 (* x x))) (/.f64 (+.f64 x x) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (* 2 (* x x))) (*.f64 x (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (/ 2 (sqrt 2)) (fabs x)) (*.f64 #s(literal 2 binary64) (/.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64)))))

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

Call 3

Inputs
#s(approx (sqrt (* 2 (* x x))) x)
#s(approx (sqrt (* 2 (* x x))) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (* 2 (* x x))) (*.f64 x (sqrt.f64 #s(approx 2 #s(literal 0 binary64)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x))
(sqrt.f64 (*.f64 (+.f64 x x) x))
(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))
#s(approx (sqrt (* 2 (* x x))) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (* 2 (* x x))) (/.f64 (+.f64 x x) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (* 2 (* x x))) (*.f64 x (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (/ 2 (sqrt 2)) (fabs x)) (*.f64 #s(literal 2 binary64) (/.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x))
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fabs.f64 x))
#s(approx (sqrt (* 2 (* x x))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)))
#s(approx (sqrt (* 2 (* x x))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))
(.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) x)) (sqrt.f64 (neg.f64 x)))
#s(approx (sqrt (* 2 (* x x))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 x x))))
#s(approx (sqrt (* 2 (* x x))) (-.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (/.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 #s(approx (sqrt (+ x x)) (.f64 x (sqrt.f64 (/.f64 #s(literal 2 binary64) x)))) (sqrt.f64 x))
(/.f64 (sqrt.f64 (.f64 (.f64 (+.f64 x x) x) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (sqrt.f64 (.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64)))))

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

Calls

12 calls:

5.0ms	x
5.0ms	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))
5.0ms	(.f64 #s(literal 2 binary64) (.f64 x x))
4.0ms	(*.f64 x x)
3.0ms	x

Results

Accuracy	Segments	Branch
20.3%	1	`(*.f64 x x)`
20.3%	1	`(.f64 #s(literal 2 binary64) (.f64 x x))`
20.3%	1	`(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))`
20.3%	1	`x`
99.4%	1	`(*.f64 x x)`
99.4%	1	`(.f64 #s(literal 2 binary64) (.f64 x x))`
99.4%	1	`(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))`
99.4%	1	`x`
99.5%	1	`(*.f64 x x)`
99.5%	1	`(.f64 #s(literal 2 binary64) (.f64 x x))`
99.5%	1	`(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))`
99.5%	1	`x`

Compiler

Compiled 179 to 89 computations (50.3% saved)

derivations63.0ms (5.8%)

Memory

-5.8MiB live, 2.2MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 12 to 8 computations (33.3% saved)

preprocess15.0ms (1.4%)

Memory: -0.5MiB live, 17.7MiB allocated; 2ms collecting garbage
Symmetry: (abs x)
Compiler: Compiled 47 to 34 computations (27.7% saved)

end0.0ms (0.0%)

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

start0.0ms (0.0%)

analyze0.0ms (0.0%)

sample419.0ms (38.9%)

preprocess27.0ms (2.6%)

series11.0ms (1.0%)

rewrite88.0ms (8.1%)

eval36.0ms (3.3%)

prune7.0ms (0.7%)

series10.0ms (0.9%)

rewrite45.0ms (4.1%)

eval7.0ms (0.7%)

prune4.0ms (0.4%)

series10.0ms (0.9%)

rewrite92.0ms (8.5%)

eval42.0ms (3.9%)

prune9.0ms (0.9%)

series10.0ms (0.9%)

rewrite90.0ms (8.3%)

eval45.0ms (4.1%)

prune9.0ms (0.9%)

regimes38.0ms (3.5%)

derivations63.0ms (5.8%)

preprocess15.0ms (1.4%)

end0.0ms (0.0%)

Profiling