Metrics for x / (x^2 + 1)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample710.0ms (41.7%)

Memory

76.2MiB live, 567.3MiB allocated; 741ms collecting garbage

Samples

510.0ms	8 255×	0	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 371.0ms

ival-div!: 307.0ms (82.7% of total)

ival-mult!: 44.0ms (11.9% of total)

ival-add!: 18.0ms (4.9% of total)

adjust: 2.0ms (0.5% of total)

Bogosity

preprocess119.0ms (7%)

Memory

-25.2MiB live, 35.0MiB allocated; 120ms 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
▶	79.2%	(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))

Symmetry

(negabs x)

Compiler

Compiled 14 to 10 computations (28.6% saved)

series9.0ms (0.5%)

Memory

15.2MiB live, 15.2MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	259

Stop Event

1×	iter-limit

Counts

5 → 15

Calls

Call 1

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

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

Calls

3 calls:

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

rewrite168.0ms (9.9%)

Memory

-33.8MiB live, 155.7MiB allocated; 22ms 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	4014	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))))
(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))
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(fma.f64 (fabs.f64 x) (fabs.f64 x) #s(literal 1 binary64))
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(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)

eval37.0ms (2.2%)

Memory: 35.4MiB live, 80.7MiB allocated; 5ms collecting garbage
Compiler: Compiled 4 657 to 1 201 computations (74.2% saved)

prune9.0ms (0.6%)

Memory

-23.5MiB live, 22.6MiB allocated; 3ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	355	6	361
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	356	6	362

Accuracy

100.0%

Counts

362 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	79.2%	(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
▶	0.0%	(/.f64 x (+.f64 (.f64 (sqrt.f64 (.f64 (neg.f64 x) (*.f64 x x))) (sqrt.f64 (neg.f64 x))) #s(literal 1 binary64)))
▶	79.1%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 1 binary64)) x))
▶	50.0%	#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
	52.2%	#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))))))
▶	53.4%	#s(approx (/ x (+ (* x x) 1)) x)

Compiler

Compiled 132 to 92 computations (30.3% saved)

series18.0ms (1%)

Memory

-8.3MiB live, 36.4MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	184	1007

Stop Event

1×	iter-limit

Counts

17 → 41

Calls

Call 1

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

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 (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (+ (* x x) 1) x) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) x))
#s(approx (/ x (+ (* (sqrt (* (neg x) (* x x))) (sqrt (neg x))) 1)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (.f64 x (pow.f64 (sqrt.f64 (.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)))))))
#s(approx (/ x (+ (* (sqrt (* (neg x) (* x x))) (sqrt (neg x))) 1)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (pow.f64 (sqrt.f64 (.f64 #s(literal -1 binary64) x)) #s(literal 4 binary64))) (pow.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)))))))
#s(approx (/ x (+ (* (sqrt (* (neg x) (* x x))) (sqrt (neg x))) 1)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (.f64 x (pow.f64 (sqrt.f64 (.f64 #s(literal -1 binary64) x)) #s(literal 6 binary64)))) (.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 (.f64 #s(literal -1 binary64) x)) #s(literal 4 binary64))))) (pow.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)))))))
#s(approx (+ (* (sqrt (* (neg x) (* x x))) (sqrt (neg x))) 1) (+.f64 #s(literal 1 binary64) (.f64 x (pow.f64 (sqrt.f64 (.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)))))
#s(approx (* (sqrt (* (neg x) (* x x))) (sqrt (neg x))) (.f64 x (pow.f64 (sqrt.f64 (.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64))))
#s(approx (sqrt (* (neg x) (* x x))) (.f64 x (sqrt.f64 (.f64 #s(literal -1 binary64) x))))
#s(approx (* (neg x) (* x x)) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (neg x) (*.f64 #s(literal -1 binary64) x))
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx (sqrt (neg x)) (sqrt.f64 (*.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) 1) x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ x (+ (* (sqrt (* (neg x) (* x x))) (sqrt (neg x))) 1)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)))))
#s(approx (/ x (+ (* (sqrt (* (neg x) (* x x))) (sqrt (neg x))) 1)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 4 binary64))))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ x (+ (* (sqrt (* (neg x) (* x x))) (sqrt (neg x))) 1)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 4 binary64))))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ x (+ (* (sqrt (* (neg x) (* x x))) (sqrt (neg x))) 1)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 8 binary64)))))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ (* (sqrt (* (neg x) (* x x))) (sqrt (neg x))) 1) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64))))
#s(approx (+ (* (sqrt (* (neg x) (* x x))) (sqrt (neg x))) 1) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)))))
#s(approx (sqrt (* (neg x) (* x x))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))
#s(approx (sqrt (neg x)) (*.f64 x (sqrt.f64 (/.f64 #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))) #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)))
#s(approx (/ x (+ (* (sqrt (* (neg x) (* x x))) (sqrt (neg x))) 1)) (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)))))
#s(approx (/ x (+ (* (sqrt (* (neg x) (* x x))) (sqrt (neg x))) 1)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (/ x (+ (* (sqrt (* (neg x) (* x x))) (sqrt (neg x))) 1)) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 4 binary64)))) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ x (+ (* (sqrt (* (neg x) (* x x))) (sqrt (neg x))) 1)) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 8 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 4 binary64))))) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ (* (sqrt (* (neg x) (* x x))) (sqrt (neg x))) 1) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)))))
#s(approx (+ (* (sqrt (* (neg x) (* x x))) (sqrt (neg x))) 1) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))))
#s(approx (sqrt (neg x)) (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))

Calls

3 calls:

Time	Variable	Point
3.0ms	x	-inf
3.0ms	x	inf
2.0ms	x	0

rewrite79.0ms (4.7%)

Memory

4.0MiB live, 145.0MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	107
0	32	92
1	122	84
2	448	74
0	1920	74

Stop Event

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

Counts

17 → 637

Calls

Call 1

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

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

eval59.0ms (3.4%)

Memory: 30.5MiB live, 75.9MiB allocated; 4ms collecting garbage
Compiler: Compiled 6 556 to 1 224 computations (81.3% saved)

prune48.0ms (2.8%)

Memory

-29.7MiB live, 22.3MiB allocated; 10ms collecting garbage

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	399	1	400
Fresh	1	0	1
Picked	2	3	5
Done	0	0	0
Total	402	4	406

Accuracy

100.0%

Counts

406 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	79.2%	(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
▶	99.9%	(/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 #s(literal -1 binary64) x)))
✓	50.0%	#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
✓	53.4%	#s(approx (/ x (+ (* x x) 1)) x)

Compiler

Compiled 33 to 24 computations (27.3% saved)

series4.0ms (0.3%)

Memory

8.1MiB live, 8.1MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	264

Stop Event

1×	iter-limit

Counts

6 → 14

Calls

Call 1

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

Outputs
#s(approx (/ 1 (- x (/ -1 x))) x)
#s(approx (/ 1 (- x (/ -1 x))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ 1 (- x (/ -1 x))) (.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 (/ 1 (- x (/ -1 x))) (.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 (/ -1 x)) (/.f64 #s(literal 1 binary64) x))
#s(approx (- x (/ -1 x)) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) x))
#s(approx (/ -1 x) (/.f64 #s(literal -1 binary64) x))
#s(approx (/ 1 (- x (/ -1 x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x))
#s(approx (/ 1 (- x (/ -1 x))) (/.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 (/ 1 (- x (/ -1 x))) (/.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 (/ -1 x)) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ 1 (- x (/ -1 x))) (*.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 (/ 1 (- x (/ -1 x))) (*.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 (/ 1 (- x (/ -1 x))) (*.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
0.0ms	x	0
0.0ms	x	inf
0.0ms	x	-inf

rewrite116.0ms (6.8%)

Memory

2.0MiB live, 199.9MiB allocated; 35ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	49	18
2	167	18
3	594	18
0	4313	17

Stop Event

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

Counts

6 → 543

Calls

Call 1

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

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

eval95.0ms (5.6%)

Memory: 9.2MiB live, 141.7MiB allocated; 15ms collecting garbage
Compiler: Compiled 7 455 to 1 454 computations (80.5% saved)

prune14.0ms (0.8%)

Memory

-17.1MiB live, 32.3MiB allocated; 12ms collecting garbage

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	550	0	550
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	550	4	554

Accuracy

100.0%

Counts

554 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	79.2%	(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
✓	99.9%	(/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 #s(literal -1 binary64) x)))
✓	50.0%	#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
✓	53.4%	#s(approx (/ x (+ (* x x) 1)) x)

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes18.0ms (1%)

Memory

2.9MiB live, 48.4MiB allocated; 5ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

2 → 2

4 → 2

8 → 1

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))

Call 4

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)))
(/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 #s(literal -1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 x (+.f64 (.f64 (sqrt.f64 (.f64 (neg.f64 x) (*.f64 x x))) (sqrt.f64 (neg.f64 x))) #s(literal 1 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))))))

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

Calls

8 calls:

4.0ms	x
2.0ms	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)))

Results

Accuracy	Segments	Branch
53.4%	1	`(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))`
53.4%	1	`x`
75.1%	2	`(/.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`
99.9%	1	`(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))`
99.9%	1	`x`

Compiler

Compiled 112 to 57 computations (49.1% saved)

bsearch3.0ms (0.1%)

Memory

6.7MiB live, 6.7MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
2.0ms	3475894.3090922968	2038723433.430419

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% of total)

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

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

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

bsearch10.0ms (0.6%)

Memory

29.0MiB live, 29.0MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	5.7554654335707304e-6	4.0449537479996795

Samples

4.0ms

144×

valid

Compiler

Compiled 190 to 153 computations (19.5% saved)

Precisions

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

ival-mult!: 1.0ms (59.3% of total)

ival-div!: 1.0ms (59.3% of total)

adjust: 0.0ms (0% of total)

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

derivations57.0ms (3.4%)

Memory

-31.0MiB live, 60.9MiB allocated; 9ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 61 to 20 computations (67.2% saved)

preprocess129.0ms (7.6%)

Memory: 45.1MiB live, 226.3MiB allocated; 33ms collecting garbage
Remove: (negabs x)
Compiler: Compiled 197 to 102 computations (48.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample710.0ms (41.7%)

preprocess119.0ms (7%)

series9.0ms (0.5%)

rewrite168.0ms (9.9%)

eval37.0ms (2.2%)

prune9.0ms (0.6%)

series18.0ms (1%)

rewrite79.0ms (4.7%)

eval59.0ms (3.4%)

prune48.0ms (2.8%)

series4.0ms (0.3%)

rewrite116.0ms (6.8%)

eval95.0ms (5.6%)

prune14.0ms (0.8%)

regimes18.0ms (1%)

bsearch3.0ms (0.1%)

bsearch10.0ms (0.6%)

derivations57.0ms (3.4%)

preprocess129.0ms (7.6%)

end0.0ms (0%)

Profiling