Metrics for x / (x^2 + 1)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

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

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
100%	100%	0%	0%	0%	0%	0%	2

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample554.0ms (37.1%)

Memory

21.2MiB live, 720.6MiB allocated; 166ms collecting garbage

Samples

352.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 127.0ms

ival-mult!: 69.0ms (54.5% of total)

ival-div!: 38.0ms (30% of total)

ival-add!: 18.0ms (14.2% of total)

adjust: 1.0ms (0.8% of total)

Bogosity

preprocess54.0ms (3.6%)

Memory

-9.2MiB live, 35.2MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	22
1	43	21
2	107	21
3	240	21
4	1527	21

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	81.3%	(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))

Symmetry

(negabs x)

Compiler

Compiled 10 to 10 computations (0% saved)

series8.0ms (0.5%)

Memory

23.2MiB live, 23.2MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	259

Stop Event

1×	iter-limit

Counts

5 → 15

Calls

Call 1

Inputs
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
x
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
#s(literal 1 binary64)

Outputs
#s(approx (/ x (+ (* x x) 1)) x)
#s(approx (/ x (+ (* x x) 1)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ x (+ (* x x) 1)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))))
#s(approx (/ x (+ (* x x) 1)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))))))
#s(approx (+ (* x x) 1) #s(literal 1 binary64))
#s(approx (+ (* x x) 1) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x))
#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x))
#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))) x))
#s(approx (+ (* x x) 1) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ x (+ (* x x) 1)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) x)))
#s(approx (/ x (+ (* x x) 1)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) x)))
#s(approx (/ x (+ (* x x) 1)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) x)))

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	((/ x (+ (* x x) 1)) x (+ (* x x) 1) (* x x) 1)
1.0ms	x	@	-inf	((/ x (+ (* x x) 1)) x (+ (* x x) 1) (* x x) 1)
1.0ms	x	@	0	((/ x (+ (* x x) 1)) x (+ (* x x) 1) (* x x) 1)

rewrite272.0ms (18.2%)

Memory

26.4MiB live, 353.5MiB allocated; 143ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	17
0	8	17
1	43	17
2	126	17
3	472	17
4	2003	17
0	8023	15

Stop Event

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

Counts

5 → 577

Calls

Call 1

Inputs
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
x
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
#s(literal 1 binary64)

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

eval127.0ms (8.5%)

Memory: 1.5MiB live, 140.5MiB allocated; 31ms collecting garbage
Compiler: Compiled 4 081 to 1 809 computations (55.7% saved)

prune32.0ms (2.1%)

Memory

-16.6MiB live, 28.0MiB allocated; 6ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	585	3	588
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	586	3	589

Accuracy

100.0%

Counts

589 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	81.3%	(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
▶	46.7%	#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
▶	56.5%	#s(approx (/ x (+ (* x x) 1)) x)

Compiler

Compiled 18 to 18 computations (0% saved)

series5.0ms (0.3%)

Memory

12.2MiB live, 12.2MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	257

Stop Event

1×	iter-limit

Counts

7 → 15

Calls

Call 1

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

Outputs
#s(approx (/ x (+ (* x x) 1)) x)
#s(approx (/ x (+ (* x x) 1)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ x (+ (* x x) 1)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))))
#s(approx (/ x (+ (* x x) 1)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))))))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx (+ (* x x) 1) #s(literal 1 binary64))
#s(approx (+ (* x x) 1) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x))
#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x))
#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))) x))
#s(approx (+ (* x x) 1) (pow.f64 x #s(literal 2 binary64)))
#s(approx (+ (* x x) 1) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ x (+ (* x x) 1)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) x)))
#s(approx (/ x (+ (* x x) 1)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) x)))
#s(approx (/ x (+ (* x x) 1)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) x)))

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((/ x (+ (* x x) 1)) x (/ x (+ (* x x) 1)) (/ 1 x) 1 (/ x (+ (* x x) 1)) (+ (* x x) 1))
0.0ms	x	@	inf	((/ x (+ (* x x) 1)) x (/ x (+ (* x x) 1)) (/ 1 x) 1 (/ x (+ (* x x) 1)) (+ (* x x) 1))
0.0ms	x	@	0	((/ x (+ (* x x) 1)) x (/ x (+ (* x x) 1)) (/ 1 x) 1 (/ x (+ (* x x) 1)) (+ (* x x) 1))

Time

Variable

Point

Expression

1.0ms

-inf

((/ x (+ (* x x) 1)) x (/ x (+ (* x x) 1)) (/ 1 x) 1 (/ x (+ (* x x) 1)) (+ (* x x) 1))

0.0ms

inf

((/ x (+ (* x x) 1)) x (/ x (+ (* x x) 1)) (/ 1 x) 1 (/ x (+ (* x x) 1)) (+ (* x x) 1))

0.0ms

((/ x (+ (* x x) 1)) x (/ x (+ (* x x) 1)) (/ 1 x) 1 (/ x (+ (* x x) 1)) (+ (* x x) 1))

rewrite223.0ms (14.9%)

Memory

-31.5MiB live, 303.1MiB allocated; 96ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	33
0	12	33
1	52	33
2	153	33
3	549	33
4	2738	33
0	8201	33

Stop Event

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

Counts

7 → 416

Calls

Call 1

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

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

eval43.0ms (2.9%)

Memory: 35.6MiB live, 124.1MiB allocated; 12ms collecting garbage
Compiler: Compiled 2 315 to 1 166 computations (49.6% saved)

prune17.0ms (1.1%)

Memory

-24.3MiB live, 26.1MiB allocated; 13ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	423	0	423
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	423	3	426

Accuracy

100.0%

Counts

426 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	81.3%	(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
✓	46.7%	#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
✓	56.5%	#s(approx (/ x (+ (* x x) 1)) x)

Compiler

Compiled 35 to 32 computations (8.6% saved)

regimes4.0ms (0.2%)

Memory

10.7MiB live, 10.7MiB allocated; 0ms collecting garbage

Counts

4 → 2

Calls

Call 1

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

Outputs
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))

Calls

2 calls:

2.0ms	x
2.0ms	(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
99.9%	2	`(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))`
100.0%	2	`x`

Compiler

Compiled 6 to 6 computations (0% saved)

regimes3.0ms (0.2%)

Memory

9.2MiB live, 9.2MiB allocated; 0ms collecting garbage

Counts

2 → 2

Calls

Call 1

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

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

Calls

2 calls:

1.0ms	(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
1.0ms	x

Results

Accuracy	Segments	Branch
78.1%	3	`(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))`
99.2%	2	`x`

Compiler

Compiled 6 to 6 computations (0% saved)

regimes2.0ms (0.1%)

Memory

8.3MiB live, 8.3MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ x (+ (* x x) 1)) x)

Outputs
#s(approx (/ x (+ (* x x) 1)) x)

Calls

2 calls:

1.0ms	(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
1.0ms	x

Results

Accuracy	Segments	Branch
56.5%	1	`(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))`
56.5%	1	`x`

Compiler

Compiled 6 to 6 computations (0% saved)

bsearch12.0ms (0.8%)

Memory

-21.5MiB live, 19.8MiB allocated; 12ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
12.0ms	63267.70348375792	435695548.9627906

Samples

8.0ms

112×

valid

Compiler

Compiled 94 to 107 computations (-13.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-div!: 5.0ms (84.6% of total)

ival-mult!: 1.0ms (16.9% of total)

adjust: 0.0ms (0% of total)

ival-add!: 0.0ms (0% of total)

bsearch10.0ms (0.7%)

Memory

21.6MiB live, 21.6MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	3.423445847033042e-7	3.3166188870745756

Samples

4.0ms

144×

valid

Compiler

Compiled 136 to 153 computations (-12.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-mult!: 1.0ms (58.4% of total)

ival-div!: 1.0ms (58.4% of total)

adjust: 0.0ms (0% of total)

ival-add!: 0.0ms (0% of total)

derivations35.0ms (2.4%)

Memory

-17.5MiB live, 24.5MiB allocated; 19ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 20 to 16 computations (20% saved)

preprocess92.0ms (6.2%)

Memory: 31.0MiB live, 212.8MiB allocated; 56ms collecting garbage
Remove: (negabs x)
Compiler: Compiled 99 to 86 computations (13.1% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample554.0ms (37.1%)

preprocess54.0ms (3.6%)

series8.0ms (0.5%)

rewrite272.0ms (18.2%)

eval127.0ms (8.5%)

prune32.0ms (2.1%)

series5.0ms (0.3%)

rewrite223.0ms (14.9%)

eval43.0ms (2.9%)

prune17.0ms (1.1%)

regimes4.0ms (0.2%)

regimes3.0ms (0.2%)

regimes2.0ms (0.1%)

bsearch12.0ms (0.8%)

bsearch10.0ms (0.7%)

derivations35.0ms (2.4%)

preprocess92.0ms (6.2%)

end0.0ms (0%)

Profiling