Metrics for x / (x^2 + 1)

start0.0ms (0.0%)

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

analyze0.0ms (0.0%)

Memory

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

Algorithm

1×

Search

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample688.0ms (56.6%)

Memory

37.0MiB live, 537.5MiB allocated; 670ms collecting garbage

Samples

499.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 372.0ms

ival-mult!: 311.0ms (83.6% of total)

ival-div!: 41.0ms (11.0% of total)

ival-add!: 18.0ms (4.8% of total)

adjust: 1.0ms (0.3% of total)

Bogosity

preprocess73.0ms (6.0%)

Memory

-45.8MiB live, 56.6MiB allocated; 96ms 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 14 to 10 computations (28.6% saved)

sample0.0ms (0.0%)

Memory

0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
1

Outputs
#s(literal 1 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 3 to 3 computations (0.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series9.0ms (0.7%)

Memory

18.7MiB live, 18.7MiB 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
1.0ms	x	inf
1.0ms	x	-inf
1.0ms	x	0

rewrite117.0ms (9.6%)

Memory

16.7MiB live, 108.5MiB allocated; 6ms 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	4022	15

Stop Event

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

Counts

5 → 350

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

eval43.0ms (3.5%)

Memory: -11.8MiB live, 83.3MiB allocated; 12ms collecting garbage
Compiler: Compiled 4 657 to 1 201 computations (74.2% saved)

prune6.0ms (0.5%)

Memory

14.9MiB live, 14.9MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	358	3	361
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	359	3	362

Accuracy

100.0%

Counts

362 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	81.3%	(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
▶	53.6%	#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
▶	49.1%	#s(approx (/ x (+ (* x x) 1)) x)

Compiler

Compiled 26 to 18 computations (30.8% saved)

sample0.0ms (0.0%)

Memory

0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
1

Outputs
#s(literal 1 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 3 to 3 computations (0.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series5.0ms (0.4%)

Memory

9.8MiB live, 9.8MiB 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
1.0ms	x	-inf
0.0ms	x	inf
0.0ms	x	0

rewrite120.0ms (9.9%)

Memory

-3.5MiB live, 182.3MiB allocated; 20ms 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	4036	33

Stop Event

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

Counts

7 → 260

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

eval54.0ms (4.4%)

Memory: -1.7MiB live, 42.5MiB allocated; 6ms collecting garbage
Compiler: Compiled 3 756 to 704 computations (81.3% saved)

prune7.0ms (0.6%)

Memory

16.3MiB live, 16.3MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	267	0	267
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	267	3	270

Accuracy

100.0%

Counts

270 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	81.3%	(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
✓	53.6%	#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
✓	49.1%	#s(approx (/ x (+ (* x x) 1)) x)

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes16.0ms (1.3%)

Memory

-14.1MiB live, 31.5MiB allocated; 5ms collecting garbage

Counts

1 → 1

2 → 2

4 → 2

Calls

Call 1

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

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

Call 2

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))

Call 3

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

6 calls:

6.0ms	x
2.0ms	(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
2.0ms	x
2.0ms	(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
1.0ms	x

Results

Accuracy	Segments	Branch
49.1%	1	`(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))`
49.1%	1	`x`
81.1%	3	`(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))`
98.9%	2	`x`
99.8%	2	`(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))`
100.0%	2	`x`

Compiler

Compiled 57 to 32 computations (43.9% saved)

bsearch3.0ms (0.2%)

Memory

5.1MiB live, 5.1MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
2.0ms	174.20621771357432	2103502139.5554914

Samples

1.0ms

32×

valid

Compiler

Compiled 44 to 37 computations (15.9% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

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

ival-mult!: 0.0ms (0.0% of total)

ival-div!: 0.0ms (0.0% of total)

bsearch14.0ms (1.1%)

Memory

-38.3MiB live, 14.4MiB allocated; 11ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	0.29314388039019784	44.88937424637084

Samples

3.0ms

112×

valid

Compiler

Compiled 150 to 121 computations (19.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-mult!: 1.0ms (74.6% of total)

adjust: 0.0ms (0.0% of total)

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

ival-div!: 0.0ms (0.0% of total)

derivations14.0ms (1.2%)

Memory

24.2MiB live, 24.2MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 54 to 16 computations (70.4% saved)

preprocess46.0ms (3.8%)

Memory: 13.1MiB live, 58.7MiB allocated; 7ms collecting garbage
Compiler: Compiled 201 to 94 computations (53.2% saved)

end0.0ms (0.0%)

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

start0.0ms (0.0%)

analyze0.0ms (0.0%)

sample688.0ms (56.6%)

preprocess73.0ms (6.0%)

sample0.0ms (0.0%)

series9.0ms (0.7%)

rewrite117.0ms (9.6%)

eval43.0ms (3.5%)

prune6.0ms (0.5%)

sample0.0ms (0.0%)

series5.0ms (0.4%)

rewrite120.0ms (9.9%)

eval54.0ms (4.4%)

prune7.0ms (0.6%)

regimes16.0ms (1.3%)

bsearch3.0ms (0.2%)

bsearch14.0ms (1.1%)

derivations14.0ms (1.2%)

preprocess46.0ms (3.8%)

end0.0ms (0.0%)

Profiling