Metrics for x / (x^2 + 1)

start0.0ms (0.0%)

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

analyze0.0ms (0.0%)

Memory

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

Algorithm

1×

Search

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample828.0ms (48.2%)

Memory

-13.5MiB live, 494.6MiB allocated; 938ms collecting garbage

Samples

609.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 168.0ms

ival-div!: 93.0ms (55.3% of total)

ival-mult!: 48.0ms (28.5% of total)

ival-add!: 26.0ms (15.5% of total)

adjust: 2.0ms (1.2% of total)

Bogosity

preprocess44.0ms (2.6%)

Memory

-6.6MiB live, 39.5MiB 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
▶	76.7%	(/.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

0.4MiB 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)

series9.0ms (0.5%)

Memory

21.6MiB live, 21.6MiB 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

rewrite152.0ms (8.9%)

Memory

-21.4MiB live, 123.0MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	17
0	8	17
1	43	17
2	126	17
3	472	17
4	2003	17
0	4022	15

Stop Event

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

Counts

5 → 350

Calls

Call 1

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

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

eval37.0ms (2.1%)

Memory: 31.1MiB live, 76.2MiB allocated; 5ms collecting garbage
Compiler: Compiled 4 657 to 1 201 computations (74.2% saved)

prune9.0ms (0.5%)

Memory

-21.6MiB live, 24.4MiB allocated; 3ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	356	5	361
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	357	5	362

Accuracy

100.0%

Counts

362 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.7%	(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
▶	76.7%	(/.f64 x (+.f64 (fma.f64 x x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
▶	76.6%	(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) x)
▶	49.4%	#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
▶	52.7%	#s(approx (/ x (+ (* x x) 1)) x)

Compiler

Compiled 84 to 56 computations (33.3% saved)

sample0.0ms (0.0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
1/2
1

Outputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 4 to 4 computations (0.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series6.0ms (0.4%)

Memory

14.6MiB live, 14.6MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	461

Stop Event

1×	iter-limit

Counts

13 → 25

Calls

Call 1

Inputs
(/.f64 x (+.f64 (fma.f64 x x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
x
(+.f64 (fma.f64 x x #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(fma.f64 x x #s(literal 1/2 binary64))
#s(literal 1/2 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)
#s(literal 1 binary64)
(/.f64 x (fma.f64 x x #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))) x)
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))

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

rewrite145.0ms (8.5%)

Memory

13.1MiB live, 245.6MiB allocated; 27ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	66
0	23	60
1	108	60
2	306	60
3	1075	60
0	4247	60

Stop Event

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

Counts

13 → 1 468

Calls

Call 1

Inputs
(/.f64 x (+.f64 (fma.f64 x x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
x
(+.f64 (fma.f64 x x #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(fma.f64 x x #s(literal 1/2 binary64))
#s(literal 1/2 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)
#s(literal 1 binary64)
(/.f64 x (fma.f64 x x #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))) x)
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))

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

eval148.0ms (8.6%)

Memory: -20.9MiB live, 260.8MiB allocated; 84ms collecting garbage
Compiler: Compiled 20 578 to 2 581 computations (87.5% saved)

prune37.0ms (2.1%)

Memory

7.8MiB live, 54.5MiB allocated; 4ms collecting garbage

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	1 057	1	1 058
Fresh	0	0	0
Picked	1	4	5
Done	0	0	0
Total	1 058	5	1 063

Accuracy

100.0%

Counts

1 063 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	76.7%	(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
▶	76.7%	(/.f64 x (-.f64 (fma.f64 x x #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
✓	76.6%	(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) x)
✓	49.4%	#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
✓	52.7%	#s(approx (/ x (+ (* x x) 1)) x)

Compiler

Compiled 42 to 29 computations (31.0% saved)

sample0.0ms (0.0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
1/2
-1/2

Outputs
#s(literal 1/2 binary64)
#s(literal -1/2 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 4 to 4 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 (0.3%)

Memory

10.2MiB live, 10.2MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	324

Stop Event

1×	iter-limit

Counts

6 → 18

Calls

Call 1

Inputs
(/.f64 x (-.f64 (fma.f64 x x #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
x
(-.f64 (fma.f64 x x #s(literal 1/2 binary64)) #s(literal -1/2 binary64))
(fma.f64 x x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal -1/2 binary64)

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

rewrite124.0ms (7.2%)

Memory

6.7MiB live, 193.8MiB allocated; 29ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	21
0	10	19
1	63	19
2	208	19
3	703	19
4	1830	19
0	4096	17

Stop Event

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

Counts

6 → 153

Calls

Call 1

Inputs
(/.f64 x (-.f64 (fma.f64 x x #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
x
(-.f64 (fma.f64 x x #s(literal 1/2 binary64)) #s(literal -1/2 binary64))
(fma.f64 x x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal -1/2 binary64)

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

eval19.0ms (1.1%)

Memory: -3.1MiB live, 41.8MiB allocated; 7ms collecting garbage
Compiler: Compiled 2 658 to 500 computations (81.2% saved)

prune4.0ms (0.2%)

Memory

12.1MiB live, 12.1MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	163	0	163
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	163	5	168

Accuracy

100.0%

Counts

168 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	76.7%	(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
✓	76.7%	(/.f64 x (-.f64 (fma.f64 x x #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
✓	76.6%	(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) x)
✓	49.4%	#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
✓	52.7%	#s(approx (/ x (+ (* x x) 1)) x)

Compiler

Compiled 42 to 29 computations (31.0% saved)

regimes33.0ms (1.9%)

Memory

-18.8MiB live, 36.2MiB allocated; 6ms collecting garbage

Accuracy

Total -0.0b remaining (-0.0%)

Threshold costs -0b (-0.0%)

Counts

1 → 1

2 → 2

4 → 2

7 → 2

Calls

Call 1

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

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

Call 2

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

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

Call 3

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

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

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 x (-.f64 (fma.f64 x x #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
(/.f64 x (+.f64 (fma.f64 x x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) x)

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

Calls

7 calls:

21.0ms	x
2.0ms	x
2.0ms	(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
2.0ms	x
1.0ms	(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
52.7%	1	`(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))`
52.7%	1	`x`
81.6%	4	`(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))`
98.2%	2	`x`
100.0%	2	`x`
99.9%	2	`(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))`
100.0%	2	`x`

Compiler

Compiled 82 to 42 computations (48.8% saved)

bsearch4.0ms (0.2%)

Memory

9.1MiB live, 9.1MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
3.0ms	10417901.77151211	110724702.38246368

Samples

1.0ms

48×

valid

Compiler

Compiled 67 to 57 computations (14.9% saved)

Precisions

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

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)

bsearch2.0ms (0.1%)

Memory

2.9MiB live, 2.9MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
1.0ms	10417901.77151211	110724702.38246368

Samples

0.0ms

16×

valid

Compiler

Compiled 78 to 65 computations (16.7% 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)

bsearch7.0ms (0.4%)

Memory

9.3MiB live, 9.3MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
6.0ms	0.5258511152166836	2.609116576972977

Samples

3.0ms

96×

valid

Compiler

Compiled 130 to 105 computations (19.2% saved)

Precisions

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

ival-mult!: 1.0ms (84.0% of total)

adjust: 0.0ms (0.0% of total)

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

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

derivations59.0ms (3.4%)

Memory

-26.2MiB live, 67.3MiB allocated; 5ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 77 to 22 computations (71.4% saved)

preprocess46.0ms (2.7%)

Memory: 38.6MiB live, 129.6MiB allocated; 24ms collecting garbage
Remove: (negabs x)
Compiler: Compiled 282 to 133 computations (52.8% saved)

end0.0ms (0.0%)

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

start0.0ms (0.0%)

analyze0.0ms (0.0%)

sample828.0ms (48.2%)

preprocess44.0ms (2.6%)

sample0.0ms (0.0%)

series9.0ms (0.5%)

rewrite152.0ms (8.9%)

eval37.0ms (2.1%)

prune9.0ms (0.5%)

sample0.0ms (0.0%)

series6.0ms (0.4%)

rewrite145.0ms (8.5%)

eval148.0ms (8.6%)

prune37.0ms (2.1%)

sample0.0ms (0.0%)

series5.0ms (0.3%)

rewrite124.0ms (7.2%)

eval19.0ms (1.1%)

prune4.0ms (0.2%)

regimes33.0ms (1.9%)

bsearch4.0ms (0.2%)

bsearch2.0ms (0.1%)

bsearch7.0ms (0.4%)

derivations59.0ms (3.4%)

preprocess46.0ms (2.7%)

end0.0ms (0.0%)

Profiling