Metrics for sqrt B (should all be same)

start0.0ms (0.0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze1.0ms (0.0%)

Memory

1.9MiB live, 1.9MiB 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)

sample618.0ms (2.4%)

Memory

38.1MiB live, 1 165.5MiB allocated; 149ms collecting garbage

Samples

422.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 213.0ms

ival-sqrt: 102.0ms (47.9% of total)

ival-mult!: 97.0ms (45.5% of total)

adjust: 13.0ms (6.1% of total)

Bogosity

preprocess33.0ms (0.1%)

Memory

-20.5MiB live, 25.6MiB allocated; 4ms 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
▶	53.9%	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))

Symmetry

(abs x)

Compiler

Compiled 12 to 10 computations (16.7% saved)

series13.0ms (0.0%)

Memory

22.3MiB live, 22.3MiB 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

rewrite495.0ms (1.9%)

Memory

11.8MiB live, 906.6MiB allocated; 96ms 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	15

Stop Event

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

Counts

5 → 1 293

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 (+.f64 (.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))) (+.f64 (.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))) (+.f64 (.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 (+.f64 (+.f64 x x) (+.f64 x x)) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 x x) (-.f64 (neg.f64 x) x)) #s(literal 2 binary64))
(/.f64 (+.f64 (.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))) (+.f64 (.f64 x x) (+.f64 (.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))) (+.f64 (.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))
(-.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))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) (neg.f64 (fabs.f64 x))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 (+.f64 x x) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1 binary64)))
(.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (pow.f64 (.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (pow.f64 (-.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (pow.f64 (+.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x))) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (neg.f64 (.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.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 2 binary64) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)))
(.f64 (.f64 (*.f64 (+.f64 x x) x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(.f64 (.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 4 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 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 x) x) (.f64 x x))) (.f64 x x))
(.f64 (pow.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4 binary64)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 4 binary64)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(.f64 (pow.f64 (.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(.f64 (pow.f64 (.f64 (+.f64 x x) x) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 (+.f64 x x) x) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(.f64 (sqrt.f64 (fabs.f64 (+.f64 x x))) (sqrt.f64 (.f64 (fabs.f64 x) (*.f64 (+.f64 x x) x))))
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(4-sqrtz0z0z1z24 (*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) #s(literal -1 binary64)) x (/.f64 (neg.f64 x) #s(literal 4 binary64)))
(4-sqrtz0z0z1z24 (.f64 (neg.f64 (neg.f64 (fabs.f64 x))) #s(literal 1 binary64)) #s(literal -1 binary64) (/.f64 (.f64 x x) #s(literal 4 binary64)))
(4-sqrtz0z0z1z24 (*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) #s(literal 1 binary64)) x (/.f64 (neg.f64 x) #s(literal 4 binary64)))
(4-sqrtz0z0z1z24 (.f64 #s(literal -1 binary64) (.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x)))) #s(literal -1 binary64) (/.f64 (*.f64 x x) #s(literal 4 binary64)))
(4-sqrtz0z0z1z24 (.f64 #s(literal -1 binary64) (.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x)))) x (/.f64 (neg.f64 x) #s(literal 4 binary64)))
(4-sqrtz0z0z1z24 (.f64 #s(literal -1 binary64) (.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64))) #s(literal -1 binary64) (/.f64 (*.f64 x x) #s(literal 4 binary64)))
(4-sqrtz0z0z1z24 (.f64 #s(literal -1 binary64) (.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64))) x (/.f64 (neg.f64 x) #s(literal 4 binary64)))
(4-sqrtz0z0z1z24 (.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (fabs.f64 x)))) #s(literal -1 binary64) (/.f64 (.f64 x x) #s(literal 4 binary64)))
(4-sqrtz0z0z1z24 (*.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (fabs.f64 x)))) x (/.f64 (neg.f64 x) #s(literal 4 binary64)))
(4-sqrtz0z0z1z24 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x)))) #s(literal -1 binary64) (/.f64 (*.f64 x x) #s(literal 4 binary64)))
(4-sqrtz0z0z1z24 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x)))) x (/.f64 (neg.f64 x) #s(literal 4 binary64)))
(4-sqrtz0z0z1z24 (.f64 #s(literal 1 binary64) (.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64))) #s(literal -1 binary64) (/.f64 (*.f64 x x) #s(literal 4 binary64)))
(4-sqrtz0z0z1z24 (.f64 #s(literal 1 binary64) (.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64))) x (/.f64 (neg.f64 x) #s(literal 4 binary64)))
(4-sqrtz0z0z1z24 (.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (fabs.f64 x)))) #s(literal -1 binary64) (/.f64 (.f64 x x) #s(literal 4 binary64)))
(4-sqrtz0z0z1z24 (*.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (fabs.f64 x)))) x (/.f64 (neg.f64 x) #s(literal 4 binary64)))
(4-sqrtz0z0z1z24 (neg.f64 (.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x)))) #s(literal -1 binary64) (/.f64 (.f64 x x) #s(literal 4 binary64)))
(4-sqrtz0z0z1z24 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x)))) x (/.f64 (neg.f64 x) #s(literal 4 binary64)))
(4-sqrtz0z0z1z24 (neg.f64 (.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64))) #s(literal -1 binary64) (/.f64 (.f64 x x) #s(literal 4 binary64)))
(4-sqrtz0z0z1z24 (neg.f64 (*.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64))) x (/.f64 (neg.f64 x) #s(literal 4 binary64)))
(4-sqrtz0z0z1z24 (neg.f64 (neg.f64 (neg.f64 (fabs.f64 x)))) #s(literal -1 binary64) (/.f64 (*.f64 x x) #s(literal 4 binary64)))
(4-sqrtz0z0z1z24 (neg.f64 (neg.f64 (neg.f64 (fabs.f64 x)))) x (/.f64 (neg.f64 x) #s(literal 4 binary64)))
(4-sqrtz0z0z1z24 (.f64 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64) (/.f64 (.f64 x x) #s(literal 4 binary64)))
(4-sqrtz0z0z1z24 (*.f64 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64)) x (/.f64 (neg.f64 x) #s(literal 4 binary64)))
(4-sqrtz0z0z1z24 (.f64 (fabs.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64) (/.f64 (.f64 x x) #s(literal 4 binary64)))
(4-sqrtz0z0z1z24 (*.f64 (fabs.f64 x) #s(literal -1 binary64)) x (/.f64 (neg.f64 x) #s(literal 4 binary64)))
(4-sqrtz0z0z1z24 (.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 x))) #s(literal -1 binary64) (/.f64 (.f64 x x) #s(literal 4 binary64)))
(4-sqrtz0z0z1z24 (*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 x))) x (/.f64 (neg.f64 x) #s(literal 4 binary64)))
(4-sqrtz0z0z1z24 (.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal -1 binary64) (/.f64 (.f64 x x) #s(literal 4 binary64)))
(4-sqrtz0z0z1z24 (*.f64 #s(literal -1 binary64) (fabs.f64 x)) x (/.f64 (neg.f64 x) #s(literal 4 binary64)))
(4-sqrtz0z0z1z24 (.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal -1 binary64) (/.f64 (.f64 x x) #s(literal 4 binary64)))
(4-sqrtz0z0z1z24 (*.f64 #s(literal -1 binary64) (neg.f64 x)) x (/.f64 (neg.f64 x) #s(literal 4 binary64)))
(4-sqrtz0z0z1z24 (.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64) (/.f64 (.f64 x x) #s(literal 4 binary64)))
(4-sqrtz0z0z1z24 (*.f64 (neg.f64 x) #s(literal -1 binary64)) x (/.f64 (neg.f64 x) #s(literal 4 binary64)))
(4-sqrtz0z0z1z24 (.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x))) #s(literal -1 binary64) (/.f64 (.f64 x x) #s(literal 4 binary64)))
(4-sqrtz0z0z1z24 (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x))) x (/.f64 (neg.f64 x) #s(literal 4 binary64)))
(4-sqrtz0z0z1z24 (.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64) (/.f64 (.f64 x x) #s(literal 4 binary64)))
(4-sqrtz0z0z1z24 (*.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) x (/.f64 (neg.f64 x) #s(literal 4 binary64)))
(4-sqrtz0z0z1z24 (neg.f64 (neg.f64 (fabs.f64 x))) #s(literal -1 binary64) (/.f64 (*.f64 x x) #s(literal 4 binary64)))
(4-sqrtz0z0z1z24 (neg.f64 (neg.f64 (fabs.f64 x))) x (/.f64 (neg.f64 x) #s(literal 4 binary64)))
(4-sqrtz0z0z1z24 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64) (/.f64 (*.f64 x x) #s(literal 4 binary64)))
(4-sqrtz0z0z1z24 (neg.f64 (fabs.f64 x)) x (/.f64 (neg.f64 x) #s(literal 4 binary64)))
(4-sqrtz0z0z1z24 (fabs.f64 x) #s(literal -1 binary64) (/.f64 (*.f64 x x) #s(literal 4 binary64)))
(4-sqrtz0z0z1z24 (fabs.f64 x) x (/.f64 (neg.f64 x) #s(literal 4 binary64)))
(4-sqrtz0z0z1z24 (neg.f64 x) #s(literal -1 binary64) (/.f64 (*.f64 x x) #s(literal 4 binary64)))
(4-sqrtz0z0z1z24 (neg.f64 x) x (/.f64 (neg.f64 x) #s(literal 4 binary64)))
(4-sqrtz0z0z1z24 x #s(literal -1 binary64) (/.f64 (*.f64 x x) #s(literal 4 binary64)))
(4-sqrtz0z0z1z24 x x (/.f64 (neg.f64 x) #s(literal 4 binary64)))
(/.f64 (sqrt.f64 (.f64 (.f64 (+.f64 x x) x) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(neg.f64 (neg.f64 (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64)))))
(sqrt.f64 (*.f64 (+.f64 x x) x))
(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 (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 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 4 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 x x) x)) #s(literal 1/2 binary64)))

eval19.2s (73.2%)

Memory

-601.7MiB live, 30 357.2MiB allocated; 7.8s collecting garbage

Samples

13.6s	201 884×	0	valid
1.7s	30 052×	0	invalid

Compiler

Compiled 21 858 to 3 004 computations (86.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.6s

ival-mult!: 4.6s (69.7% of total)

adjust: 1.2s (17.5% of total)

ival-sub!: 705.0ms (10.6% of total)

ival-sqrt: 141.0ms (2.1% of total)

prune59.0ms (0.2%)

Memory

-5.3MiB live, 87.1MiB allocated; 9ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	1 289	5	1 294
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	1 290	5	1 295

Accuracy

100.0%

Counts

1 295 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(4-sqrtz0z0z1z24 x x (/.f64 (neg.f64 x) #s(literal 4 binary64)))
▶	99.4%	(*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x))
▶	99.3%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x))
▶	53.9%	(sqrt.f64 (*.f64 (+.f64 x x) x))
▶	99.3%	#s(approx (sqrt (* (* 2 x) x)) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))

Samples

29.0ms

512×

valid

Compiler

Compiled 72 to 56 computations (22.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult!: 7.0ms (52.5% of total)

ival-sqrt: 4.0ms (30.0% of total)

ival-sub!: 1.0ms (7.5% of total)

adjust: 1.0ms (7.5% of total)

series17.0ms (0.1%)

Memory

-30.7MiB live, 19.8MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	171

Stop Event

1×	iter-limit

Counts

17 → 17

Calls

Call 1

Inputs
x
(neg.f64 x)
#s(literal 4 binary64)
(/.f64 (neg.f64 x) #s(literal 4 binary64))
(4-sqrtz0z0z1z24 x x (/.f64 (neg.f64 x) #s(literal 4 binary64)))
#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 (neg x) (*.f64 #s(literal -1 binary64) x))
#s(approx (/ (neg x) 4) (*.f64 #s(literal -1/4 binary64) x))
#s(approx (sqrt (- (* x x) (* x (* (/ (neg x) 4) 4)))) (*.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 (* (/ (neg x) 4) 4)))) (.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	0
2.0ms	x	inf

rewrite188.0ms (0.7%)

Memory

4.9MiB live, 245.6MiB allocated; 42ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	67
0	37	72
1	121	65
2	422	54
3	1575	54
0	4390	54

Stop Event

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

Counts

17 → 1 018

Calls

Call 1

Inputs
x
(neg.f64 x)
#s(literal 4 binary64)
(/.f64 (neg.f64 x) #s(literal 4 binary64))
(4-sqrtz0z0z1z24 x x (/.f64 (neg.f64 x) #s(literal 4 binary64)))
#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 (.f64 (*.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64))
(.f64 (.f64 #s(literal 4 binary64) x) #s(literal -1/4 binary64))
(*.f64 #s(literal -1 binary64) x)
(.f64 (.f64 x #s(literal -4 binary64)) #s(literal 1/4 binary64))
(.f64 (.f64 #s(literal 1/4 binary64) x) #s(literal -4 binary64))
(.f64 #s(literal 1/4 binary64) (.f64 x #s(literal -4 binary64)))
(*.f64 #s(literal 1 binary64) (neg.f64 x))
(.f64 #s(literal -4 binary64) (.f64 #s(literal 1/4 binary64) x))
(.f64 (.f64 #s(literal -1/4 binary64) x) #s(literal 4 binary64))
(.f64 #s(literal 4 binary64) (.f64 #s(literal -1/4 binary64) x))
(*.f64 (neg.f64 x) #s(literal 1 binary64))
(*.f64 x #s(literal -1 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (*.f64 x #s(literal -4 binary64)) #s(literal -1 binary64))) #s(literal -8 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (*.f64 x #s(literal -4 binary64)) #s(literal 1 binary64))) #s(literal 8 binary64))
(/.f64 (.f64 (.f64 (*.f64 x #s(literal -4 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -8 binary64))
(/.f64 (.f64 (.f64 (*.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 8 binary64))
(/.f64 (.f64 #s(literal -4 binary64) (.f64 (*.f64 x #s(literal -4 binary64)) #s(literal -1 binary64))) #s(literal 16 binary64))
(/.f64 (.f64 #s(literal -4 binary64) (.f64 (*.f64 x #s(literal -4 binary64)) #s(literal 1 binary64))) #s(literal -16 binary64))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (*.f64 x #s(literal -4 binary64)) #s(literal -1 binary64))) #s(literal -16 binary64))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (*.f64 x #s(literal -4 binary64)) #s(literal 1 binary64))) #s(literal 16 binary64))
(/.f64 (.f64 #s(literal -4 binary64) (.f64 #s(literal -4 binary64) x)) #s(literal -16 binary64))
(/.f64 (.f64 #s(literal -4 binary64) (.f64 #s(literal 4 binary64) x)) #s(literal 16 binary64))
(/.f64 (.f64 #s(literal -4 binary64) (.f64 x #s(literal -4 binary64))) #s(literal -16 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) x)) #s(literal -8 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 x #s(literal -4 binary64))) #s(literal 8 binary64))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 #s(literal -4 binary64) x)) #s(literal 16 binary64))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 #s(literal 4 binary64) x)) #s(literal -16 binary64))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 x #s(literal -4 binary64))) #s(literal 16 binary64))
(/.f64 (.f64 (.f64 (*.f64 x #s(literal -4 binary64)) #s(literal -1 binary64)) #s(literal -4 binary64)) #s(literal 16 binary64))
(/.f64 (.f64 (.f64 (*.f64 x #s(literal -4 binary64)) #s(literal -1 binary64)) #s(literal 4 binary64)) #s(literal -16 binary64))
(/.f64 (.f64 (.f64 (*.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)) #s(literal -4 binary64)) #s(literal -16 binary64))
(/.f64 (.f64 (.f64 (*.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64)) #s(literal 16 binary64))
(/.f64 (.f64 (.f64 #s(literal -4 binary64) x) #s(literal -4 binary64)) #s(literal -16 binary64))
(/.f64 (.f64 (.f64 #s(literal -4 binary64) x) #s(literal 4 binary64)) #s(literal 16 binary64))
(/.f64 (.f64 (.f64 #s(literal 4 binary64) x) #s(literal -4 binary64)) #s(literal 16 binary64))
(/.f64 (.f64 (.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)) #s(literal -8 binary64))
(/.f64 (.f64 (.f64 #s(literal 4 binary64) x) #s(literal 4 binary64)) #s(literal -16 binary64))
(/.f64 (.f64 (.f64 x #s(literal -4 binary64)) #s(literal -4 binary64)) #s(literal -16 binary64))
(/.f64 (.f64 (.f64 x #s(literal -4 binary64)) #s(literal 2 binary64)) #s(literal 8 binary64))
(/.f64 (.f64 (.f64 x #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal 16 binary64))
(/.f64 (neg.f64 (.f64 (.f64 x #s(literal -4 binary64)) #s(literal -1 binary64))) #s(literal 4 binary64))
(/.f64 (neg.f64 (.f64 (.f64 x #s(literal -4 binary64)) #s(literal 1 binary64))) #s(literal -4 binary64))
(/.f64 (.f64 (.f64 x #s(literal -4 binary64)) #s(literal -1 binary64)) #s(literal -4 binary64))
(/.f64 (.f64 (.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal -4 binary64) x) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal 4 binary64) x) #s(literal -4 binary64))
(/.f64 (*.f64 x #s(literal -4 binary64)) #s(literal 4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (*.f64 #s(literal 4 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 x #s(literal -4 binary64))))
(neg.f64 x)
#s(literal 4 binary64)
(*.f64 #s(literal -1/4 binary64) x)
(.f64 (.f64 x #s(literal -4 binary64)) #s(literal 1/16 binary64))
(*.f64 #s(literal 1/4 binary64) (neg.f64 x))
(.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) x))
(.f64 (.f64 #s(literal -1/4 binary64) x) #s(literal 1 binary64))
(.f64 #s(literal 4 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) x) #s(literal -4 binary64)))
(*.f64 (neg.f64 x) #s(literal 1/4 binary64))
(*.f64 x #s(literal -1/4 binary64))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 #s(literal -4 binary64) x)) #s(literal -16 binary64))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) x)) #s(literal 16 binary64))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 (*.f64 x #s(literal -4 binary64)) #s(literal -1 binary64))) #s(literal 16 binary64))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 (*.f64 x #s(literal -4 binary64)) #s(literal 1 binary64))) #s(literal -16 binary64))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 #s(literal 4 binary64) x)) #s(literal 16 binary64))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 x #s(literal -4 binary64))) #s(literal -16 binary64))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (*.f64 x #s(literal -4 binary64)) #s(literal -1 binary64))) #s(literal -16 binary64))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (*.f64 x #s(literal -4 binary64)) #s(literal 1 binary64))) #s(literal 16 binary64))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) x)) #s(literal -16 binary64))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 x #s(literal -4 binary64))) #s(literal 16 binary64))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x #s(literal -4 binary64)) #s(literal -1 binary64))) #s(literal -8 binary64))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x #s(literal -4 binary64)) #s(literal 1 binary64))) #s(literal 8 binary64))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 4 binary64) x)) #s(literal -8 binary64))
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(.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 (.f64 (*.f64 (+.f64 x x) x) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 x))
(.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (.f64 (+.f64 x x) (*.f64 (+.f64 x x) x))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) 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 (sqrt.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (.f64 x (*.f64 (+.f64 x x) x))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 (+.f64 x x))) (sqrt.f64 (sqrt.f64 (.f64 x (*.f64 (+.f64 x x) x)))))
(.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
(.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 (.f64 (+.f64 x x) (*.f64 (+.f64 x 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 (neg.f64 x) x)) (sqrt.f64 (neg.f64 x)))
(*.f64 (pow.f64 (-.f64 (neg.f64 x) 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 (neg.f64 x) 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 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (-.f64 (neg.f64 x) 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 (sqrt.f64 x) (sqrt.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 (+.f64 x x) x)))))
(.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 (+.f64 x x) x))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x)))
(*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 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 (.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 (.f64 (+.f64 x x) x) (*.f64 (+.f64 x x) x)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (+.f64 x x) x) #s(literal 1/2 binary64))
(4-sqrtz0z0z1z24 (.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)) #s(literal 1/4 binary64) (.f64 (neg.f64 x) x))
(4-sqrtz0z0z1z24 (.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)) (.f64 #s(literal -1/4 binary64) x) x)
(4-sqrtz0z0z1z24 (.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)) x (.f64 #s(literal -1/4 binary64) x))
(4-sqrtz0z0z1z24 (.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))) #s(literal 1/4 binary64) (.f64 (neg.f64 x) x))
(4-sqrtz0z0z1z24 (.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))) (.f64 #s(literal -1/4 binary64) x) x)
(4-sqrtz0z0z1z24 (.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))) x (.f64 #s(literal -1/4 binary64) x))
(4-sqrtz0z0z1z24 (neg.f64 x) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x))
(4-sqrtz0z0z1z24 (neg.f64 x) (*.f64 #s(literal -1/4 binary64) x) x)
(4-sqrtz0z0z1z24 (neg.f64 x) x (*.f64 #s(literal -1/4 binary64) x))
(4-sqrtz0z0z1z24 x #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x))
(4-sqrtz0z0z1z24 x (*.f64 #s(literal -1/4 binary64) x) x)
(4-sqrtz0z0z1z24 x x (*.f64 #s(literal -1/4 binary64) x))
(/.f64 (sqrt.f64 (.f64 x (.f64 #s(literal 4 binary64) (+.f64 x x)))) (sqrt.f64 #s(literal 4 binary64)))
(/.f64 (sqrt.f64 (.f64 (.f64 #s(literal 4 binary64) (+.f64 x x)) x)) (sqrt.f64 #s(literal 4 binary64)))
(/.f64 (sqrt.f64 (+.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (.f64 x x) #s(literal 4 binary64)))) (sqrt.f64 #s(literal 4 binary64)))
(/.f64 (sqrt.f64 (-.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (.f64 x #s(literal -4 binary64)) x))) (sqrt.f64 #s(literal 4 binary64)))
(neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x)))
(sqrt.f64 (*.f64 (+.f64 x x) x))
(fabs.f64 (neg.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 (+.f64 x x))))))
(fabs.f64 (neg.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 x x))) (neg.f64 (sqrt.f64 x)))))
(fabs.f64 (neg.f64 (*.f64 (neg.f64 x) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
(fabs.f64 (neg.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 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 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))))
(fabs.f64 (.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))))
(fabs.f64 (*.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 x)))
(fabs.f64 (*.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) 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 (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
(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 (neg.f64 (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 (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
(fabs.f64 (*.f64 x (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
(fabs.f64 (*.f64 (neg.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 x) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 x)))
(fabs.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 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)))

eval3.4s (13.0%)

Memory

-123.8MiB live, 3 071.2MiB allocated; 2.8s collecting garbage

Samples

2.8s	31 657×	0	valid
69.0ms	1 111×	0	invalid

Compiler

Compiled 9 728 to 2 223 computations (77.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.9s

ival-sub!: 1.0s (55.0% of total)

ival-mult!: 497.0ms (26.5% of total)

ival-sqrt: 300.0ms (16.0% of total)

adjust: 47.0ms (2.5% of total)

prune30.0ms (0.1%)

Memory

0.1MiB live, 46.6MiB allocated; 4ms collecting garbage

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	789	1	790
Fresh	0	0	0
Picked	5	0	5
Done	-3	3	0
Total	791	4	795

Accuracy

100.0%

Counts

795 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(4-sqrtz0z0z1z24 x (*.f64 #s(literal -1/4 binary64) x) x)
✓	99.3%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x))
✓	53.9%	(sqrt.f64 (*.f64 (+.f64 x x) x))
✓	99.3%	#s(approx (sqrt (* (* 2 x) x)) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))

Samples

16.0ms

256×

valid

Compiler

Compiled 28 to 22 computations (21.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult!: 3.0ms (44.5% of total)

ival-sqrt: 2.0ms (29.7% of total)

ival-sub!: 1.0ms (14.8% of total)

adjust: 0.0ms (0.0% of total)

series5.0ms (0.0%)

Memory

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	34

Stop Event

1×	iter-limit

Counts

4 → 4

Calls

Call 1

Inputs
x
#s(literal -1/4 binary64)
(*.f64 #s(literal -1/4 binary64) x)
(4-sqrtz0z0z1z24 x (*.f64 #s(literal -1/4 binary64) x) x)

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

rewrite469.0ms (1.8%)

Memory

26.4MiB live, 622.7MiB allocated; 71ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	11
0	11	11
1	51	11
2	183	11
3	596	11
4	1389	11
0	4065	11

Stop Event

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

Counts

4 → 86

Calls

Call 1

Inputs
x
#s(literal -1/4 binary64)
(*.f64 #s(literal -1/4 binary64) x)
(4-sqrtz0z0z1z24 x (*.f64 #s(literal -1/4 binary64) x) x)

Outputs
x
#s(literal -1/4 binary64)
(*.f64 #s(literal 1/4 binary64) (neg.f64 x))
(*.f64 (neg.f64 x) #s(literal 1/4 binary64))
(*.f64 #s(literal -1/4 binary64) x)
(*.f64 x #s(literal -1/4 binary64))
(neg.f64 (*.f64 #s(literal 1/4 binary64) x))
(.f64 (pow.f64 (.f64 (.f64 (+.f64 x x) x) (.f64 (+.f64 x x) x)) (/.f64 #s(literal 1/4 binary64) #s(literal 2 binary64))) (pow.f64 (.f64 (.f64 (+.f64 x x) x) (*.f64 (+.f64 x x) x)) (/.f64 #s(literal 1/4 binary64) #s(literal 2 binary64))))
(.f64 (pow.f64 (.f64 (*.f64 (+.f64 x x) x) x) #s(literal 1/4 binary64)) (pow.f64 (+.f64 x x) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 x x) x))) (.f64 (+.f64 x x) x)) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 x x) x))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 x x) x))) #s(literal 1/4 binary64)) (pow.f64 (.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 x x) x))) (*.f64 (+.f64 x x) x)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (-.f64 (neg.f64 x) x) x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (-.f64 (neg.f64 x) x) x) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (+.f64 x x) x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (+.f64 x x) x) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (.f64 (+.f64 x x) x) (sqrt.f64 (.f64 (+.f64 x x) x))) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (*.f64 (+.f64 x x) x)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (sqrt.f64 (.f64 (+.f64 x x) x)) #s(literal 1/4 binary64)) (pow.f64 (.f64 (.f64 (+.f64 x x) x) (sqrt.f64 (*.f64 (+.f64 x x) x))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 x x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (+.f64 x 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 (sqrt.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 x x) x)))) (sqrt.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 x x) x)))))
(*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x))
(.f64 (pow.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 x x) x))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 x x) x))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (sqrt.f64 (.f64 (+.f64 x x) x)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (*.f64 (+.f64 x x) x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (+.f64 x x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)) (pow.f64 (-.f64 (neg.f64 x) x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 (+.f64 x x) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 (+.f64 x x) x))) (sqrt.f64 (sqrt.f64 (*.f64 (+.f64 x x) x))))
(*.f64 (sqrt.f64 (fabs.f64 x)) (sqrt.f64 (fabs.f64 (+.f64 x x))))
(*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (-.f64 (neg.f64 x) x)))
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x)))
(.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 (.f64 (+.f64 x x) x)) (pow.f64 (*.f64 (+.f64 x x) x) #s(literal 0 binary64)))
(pow.f64 (.f64 (.f64 (.f64 (+.f64 x x) x) (.f64 (+.f64 x x) x)) (.f64 (.f64 (+.f64 x x) x) (*.f64 (+.f64 x x) x))) #s(literal 1/8 binary64))
(pow.f64 (.f64 (.f64 (+.f64 x x) x) (*.f64 (+.f64 x x) x)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (+.f64 x x) x) #s(literal 1/2 binary64))
(4-sqrtz0z0z1z24 (neg.f64 (fabs.f64 x)) (.f64 #s(literal -1 binary64) (fabs.f64 x)) (.f64 #s(literal 1/4 binary64) (fabs.f64 x)))
(4-sqrtz0z0z1z24 (neg.f64 (fabs.f64 x)) (.f64 #s(literal 4 binary64) (.f64 (fabs.f64 x) #s(literal -1/4 binary64))) (*.f64 #s(literal 1/4 binary64) (fabs.f64 x)))
(4-sqrtz0z0z1z24 (neg.f64 (fabs.f64 x)) (neg.f64 (*.f64 (fabs.f64 x) #s(literal -1/4 binary64))) (neg.f64 (fabs.f64 x)))
(4-sqrtz0z0z1z24 (neg.f64 (fabs.f64 x)) (*.f64 (fabs.f64 x) #s(literal -1/4 binary64)) (fabs.f64 x))
(4-sqrtz0z0z1z24 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 x x)))
(4-sqrtz0z0z1z24 (neg.f64 (fabs.f64 x)) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x))
(4-sqrtz0z0z1z24 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 #s(literal 1/4 binary64) (fabs.f64 x)))
(4-sqrtz0z0z1z24 (neg.f64 (fabs.f64 x)) (*.f64 #s(literal 1/4 binary64) x) (neg.f64 x))
(4-sqrtz0z0z1z24 (neg.f64 (fabs.f64 x)) (*.f64 #s(literal -1/4 binary64) x) x)
(4-sqrtz0z0z1z24 (neg.f64 (fabs.f64 x)) #s(literal -1/4 binary64) (*.f64 x x))
(4-sqrtz0z0z1z24 (neg.f64 (fabs.f64 x)) x (*.f64 #s(literal -1/4 binary64) x))
(4-sqrtz0z0z1z24 (fabs.f64 x) (.f64 #s(literal -1 binary64) (fabs.f64 x)) (.f64 #s(literal 1/4 binary64) (fabs.f64 x)))
(4-sqrtz0z0z1z24 (fabs.f64 x) (.f64 #s(literal 4 binary64) (.f64 (fabs.f64 x) #s(literal -1/4 binary64))) (*.f64 #s(literal 1/4 binary64) (fabs.f64 x)))
(4-sqrtz0z0z1z24 (fabs.f64 x) (neg.f64 (*.f64 (fabs.f64 x) #s(literal -1/4 binary64))) (neg.f64 (fabs.f64 x)))
(4-sqrtz0z0z1z24 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal -1/4 binary64)) (fabs.f64 x))
(4-sqrtz0z0z1z24 (fabs.f64 x) #s(literal -1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 x x)))
(4-sqrtz0z0z1z24 (fabs.f64 x) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x))
(4-sqrtz0z0z1z24 (fabs.f64 x) (neg.f64 (fabs.f64 x)) (*.f64 #s(literal 1/4 binary64) (fabs.f64 x)))
(4-sqrtz0z0z1z24 (fabs.f64 x) (*.f64 #s(literal 1/4 binary64) x) (neg.f64 x))
(4-sqrtz0z0z1z24 (fabs.f64 x) (*.f64 #s(literal -1/4 binary64) x) x)
(4-sqrtz0z0z1z24 (fabs.f64 x) #s(literal -1/4 binary64) (*.f64 x x))
(4-sqrtz0z0z1z24 (fabs.f64 x) x (*.f64 #s(literal -1/4 binary64) x))
(4-sqrtz0z0z1z24 (neg.f64 x) (.f64 #s(literal -1 binary64) (fabs.f64 x)) (.f64 #s(literal 1/4 binary64) (fabs.f64 x)))
(4-sqrtz0z0z1z24 (neg.f64 x) (.f64 #s(literal 4 binary64) (.f64 (fabs.f64 x) #s(literal -1/4 binary64))) (*.f64 #s(literal 1/4 binary64) (fabs.f64 x)))
(4-sqrtz0z0z1z24 (neg.f64 x) (neg.f64 (*.f64 (fabs.f64 x) #s(literal -1/4 binary64))) (neg.f64 (fabs.f64 x)))
(4-sqrtz0z0z1z24 (neg.f64 x) (*.f64 (fabs.f64 x) #s(literal -1/4 binary64)) (fabs.f64 x))
(4-sqrtz0z0z1z24 (neg.f64 x) #s(literal -1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 x x)))
(4-sqrtz0z0z1z24 (neg.f64 x) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x))
(4-sqrtz0z0z1z24 (neg.f64 x) (neg.f64 (fabs.f64 x)) (*.f64 #s(literal 1/4 binary64) (fabs.f64 x)))
(4-sqrtz0z0z1z24 (neg.f64 x) (*.f64 #s(literal 1/4 binary64) x) (neg.f64 x))
(4-sqrtz0z0z1z24 (neg.f64 x) (*.f64 #s(literal -1/4 binary64) x) x)
(4-sqrtz0z0z1z24 (neg.f64 x) #s(literal -1/4 binary64) (*.f64 x x))
(4-sqrtz0z0z1z24 (neg.f64 x) x (*.f64 #s(literal -1/4 binary64) x))
(4-sqrtz0z0z1z24 x (.f64 #s(literal -1 binary64) (fabs.f64 x)) (.f64 #s(literal 1/4 binary64) (fabs.f64 x)))
(4-sqrtz0z0z1z24 x (.f64 #s(literal 4 binary64) (.f64 (fabs.f64 x) #s(literal -1/4 binary64))) (*.f64 #s(literal 1/4 binary64) (fabs.f64 x)))
(4-sqrtz0z0z1z24 x (neg.f64 (*.f64 (fabs.f64 x) #s(literal -1/4 binary64))) (neg.f64 (fabs.f64 x)))
(4-sqrtz0z0z1z24 x (*.f64 (fabs.f64 x) #s(literal -1/4 binary64)) (fabs.f64 x))
(4-sqrtz0z0z1z24 x #s(literal -1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 x x)))
(4-sqrtz0z0z1z24 x #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x))
(4-sqrtz0z0z1z24 x (neg.f64 (fabs.f64 x)) (*.f64 #s(literal 1/4 binary64) (fabs.f64 x)))
(4-sqrtz0z0z1z24 x (*.f64 #s(literal 1/4 binary64) x) (neg.f64 x))
(4-sqrtz0z0z1z24 x (*.f64 #s(literal -1/4 binary64) x) x)
(4-sqrtz0z0z1z24 x #s(literal -1/4 binary64) (*.f64 x x))
(4-sqrtz0z0z1z24 x x (*.f64 #s(literal -1/4 binary64) x))
(/.f64 (pow.f64 (.f64 (+.f64 x x) x) #s(literal 1/4 binary64)) (pow.f64 (.f64 (+.f64 x x) x) #s(literal -1/4 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 (+.f64 x x) x) (*.f64 (+.f64 x x) x)) #s(literal -1/4 binary64)))
(neg.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 x x) x))))
(sqrt.f64 (*.f64 (+.f64 x x) x))
(fabs.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 x x) x))))
(fabs.f64 (sqrt.f64 (*.f64 (+.f64 x x) x)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 (+.f64 x x) x) (.f64 (+.f64 x x) x))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 x x) x)) #s(literal 1/2 binary64)))

eval876.0ms (3.3%)

Memory

56.1MiB live, 1 088.2MiB allocated; 179ms collecting garbage

Samples

655.0ms	11 376×	0	valid
53.0ms	912×	0	invalid

Compiler

Compiled 990 to 180 computations (81.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 348.0ms

ival-mult!: 192.0ms (55.1% of total)

ival-sqrt: 105.0ms (30.1% of total)

ival-sub!: 37.0ms (10.6% of total)

adjust: 15.0ms (4.3% of total)

prune24.0ms (0.1%)

Memory

-17.2MiB live, 27.9MiB allocated; 7ms collecting garbage

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	0	0
Picked	1	0	1
Done	-1	4	3
Total	87	4	91

Accuracy

100.0%

Counts

91 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(4-sqrtz0z0z1z24 x (*.f64 #s(literal -1/4 binary64) x) x)
✓	99.3%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x))
✓	53.9%	(sqrt.f64 (*.f64 (+.f64 x x) x))
✓	99.3%	#s(approx (sqrt (* (* 2 x) x)) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))

Samples

14.0ms

256×

valid

Compiler

Compiled 28 to 22 computations (21.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult!: 3.0ms (45.1% of total)

ival-sqrt: 2.0ms (30.0% of total)

ival-sub!: 1.0ms (15.0% of total)

adjust: 0.0ms (0.0% of total)

regimes52.0ms (0.2%)

Memory

-24.7MiB live, 73.7MiB allocated; 11ms collecting garbage

Counts

4 → 1

7 → 1

Calls

Call 1

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

Call 2

Inputs
#s(approx (sqrt (* (* 2 x) x)) (*.f64 x (sqrt.f64 #s(literal 2 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))
(4-sqrtz0z0z1z24 x (*.f64 #s(literal -1/4 binary64) x) x)
(*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x))
(4-sqrtz0z0z1z24 x x (/.f64 (neg.f64 x) #s(literal 4 binary64)))

Outputs
(4-sqrtz0z0z1z24 x (*.f64 #s(literal -1/4 binary64) x) x)

Calls

6 calls:

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

Results

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

Samples

29.0ms

512×

valid

Compiler

Compiled 72 to 47 computations (34.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult!: 7.0ms (52.9% of total)

ival-sqrt: 4.0ms (30.2% of total)

ival-sub!: 1.0ms (7.6% of total)

adjust: 1.0ms (7.6% of total)

derivations126.0ms (0.5%)

Memory

21.4MiB live, 113.3MiB allocated; 8ms collecting garbage

Stop Event

1×

done

Samples

16.0ms

256×

valid

Compiler

Compiled 17 to 12 computations (29.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult!: 3.0ms (44.0% of total)

ival-sqrt: 2.0ms (29.3% of total)

ival-sub!: 1.0ms (14.7% of total)

adjust: 0.0ms (0.0% of total)

preprocess614.0ms (2.3%)

Memory

33.7MiB live, 771.4MiB allocated; 109ms collecting garbage

Symmetry

(abs x)

Samples

487.0ms

8 512×

valid

Compiler

Compiled 60 to 44 computations (26.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 233.0ms

ival-mult!: 128.0ms (54.9% of total)

ival-sqrt: 73.0ms (31.3% of total)

ival-sub!: 23.0ms (9.9% of total)

adjust: 10.0ms (4.3% of total)

end0.0ms (0.0%)

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

start0.0ms (0.0%)

analyze1.0ms (0.0%)

sample618.0ms (2.4%)

preprocess33.0ms (0.1%)

series13.0ms (0.0%)

rewrite495.0ms (1.9%)

eval19.2s (73.2%)

prune59.0ms (0.2%)

series17.0ms (0.1%)

rewrite188.0ms (0.7%)

eval3.4s (13.0%)

prune30.0ms (0.1%)

series5.0ms (0.0%)

rewrite469.0ms (1.8%)

eval876.0ms (3.3%)

prune24.0ms (0.1%)

regimes52.0ms (0.2%)

derivations126.0ms (0.5%)

preprocess614.0ms (2.3%)

end0.0ms (0.0%)

Profiling