Metrics for x / (x^2 + 1)

start0.0ms (0.0%)

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

analyze0.0ms (0.0%)

Memory

0.8MiB live, 0.8MiB 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)

sample904.0ms (62.7%)

Memory

17.5MiB live, 616.9MiB allocated; 914ms collecting garbage

Samples

582.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 428.0ms

ival-mult!: 336.0ms (78.5% of total)

ival-div!: 51.0ms (11.9% of total)

ival-add!: 40.0ms (9.3% of total)

adjust: 2.0ms (0.5% of total)

Bogosity

preprocess44.0ms (3.1%)

Memory

-13.0MiB live, 31.8MiB allocated; 7ms 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
▶	75.2%	(/.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

0.6MiB live, 0.6MiB 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 (0.6%)

Memory

23.5MiB live, 23.5MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	254

Stop Event

1×	iter-limit

Counts

5 → 15

Calls

Call 1

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

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

rewrite157.0ms (10.9%)

Memory

-2.4MiB live, 142.8MiB allocated; 16ms 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
x
(*.f64 x x)
#s(literal 1 binary64)
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))

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

eval34.0ms (2.4%)

Memory: -16.2MiB live, 74.2MiB allocated; 9ms collecting garbage
Compiler: Compiled 4 570 to 1 202 computations (73.7% saved)

prune5.0ms (0.4%)

Memory

16.4MiB live, 16.4MiB 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
▶	75.2%	(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
▶	47.9%	(/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64)))
▶	55.3%	#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample0.0ms (0.0%)

Memory

0.4MiB live, 0.4MiB 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

21.7MiB live, 21.7MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	252

Stop Event

1×	iter-limit

Counts

8 → 15

Calls

Call 1

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

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

rewrite159.0ms (11.0%)

Memory

2.7MiB live, 190.0MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	39
0	14	39
1	60	39
2	178	39
3	634	39
4	3326	39
0	4122	39

Stop Event

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

Counts

8 → 329

Calls

Call 1

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

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

eval36.0ms (2.5%)

Memory: -20.7MiB live, 78.4MiB allocated; 19ms collecting garbage
Compiler: Compiled 3 474 to 795 computations (77.1% saved)

prune7.0ms (0.5%)

Memory

19.8MiB live, 19.8MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	340	0	340
Fresh	0	0	0
Picked	3	0	3
Done	-3	3	0
Total	340	3	343

Accuracy

100.0%

Counts

343 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	75.2%	(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
✓	47.9%	(/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64)))
✓	55.3%	#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))

Compiler

Compiled 14 to 12 computations (14.3% saved)

regimes14.0ms (1.0%)

Memory

-16.6MiB live, 29.5MiB allocated; 5ms collecting garbage

Counts

1 → 1

2 → 2

4 → 2

Calls

Call 1

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

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

Call 2

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

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

Call 3

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

5.0ms	(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
2.0ms	x
2.0ms	x
1.0ms	(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
1.0ms	x

Results

Accuracy	Segments	Branch
55.3%	1	`(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))`
55.3%	1	`x`
81.5%	5	`(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))`
99.4%	2	`x`
99.9%	2	`(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))`
100.0%	2	`x`

Compiler

Compiled 45 to 29 computations (35.6% saved)

bsearch2.0ms (0.1%)

Memory

2.8MiB live, 2.8MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
1.0ms	474115.3308539658	200044750.2557174

Samples

0.0ms

16×

valid

Compiler

Compiled 20 to 19 computations (5.0% 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)

bsearch10.0ms (0.7%)

Memory

19.2MiB live, 19.2MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	0.002528722202215324	444.6086374407003

Samples

4.0ms

144×

valid

Compiler

Compiled 82 to 99 computations (-20.7% saved)

Precisions

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

ival-mult!: 1.0ms (60.6% of total)

ival-div!: 1.0ms (60.6% of total)

adjust: 0.0ms (0.0% of total)

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

derivations33.0ms (2.3%)

Memory

-38.9MiB live, 7.1MiB allocated; 5ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 30 to 13 computations (56.7% saved)

preprocess20.0ms (1.4%)

Memory: 43.1MiB live, 43.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 120 to 71 computations (40.8% saved)

end0.0ms (0.0%)

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

start0.0ms (0.0%)

analyze0.0ms (0.0%)

sample904.0ms (62.7%)

preprocess44.0ms (3.1%)

sample0.0ms (0.0%)

series9.0ms (0.6%)

rewrite157.0ms (10.9%)

eval34.0ms (2.4%)

prune5.0ms (0.4%)

sample0.0ms (0.0%)

series5.0ms (0.4%)

rewrite159.0ms (11.0%)

eval36.0ms (2.5%)

prune7.0ms (0.5%)

regimes14.0ms (1.0%)

bsearch2.0ms (0.1%)

bsearch10.0ms (0.7%)

derivations33.0ms (2.3%)

preprocess20.0ms (1.4%)

end0.0ms (0.0%)

Profiling