x / (x^2 + 1)

Time bar (total: 3.9s)

start0.0ms (0%)

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

analyze1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
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)

sample1.4s (35.3%)

Memory
3.7MiB live, 552.8MiB allocated; 933ms collecting garbage
Samples
1.1s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 146.0ms
ival-mult!: 75.0ms (51.4% of total)
ival-div!: 45.0ms (30.9% of total)
ival-add!: 24.0ms (16.5% of total)
adjust: 2.0ms (1.4% of total)
Bogosity

preprocess344.0ms (8.8%)

Memory
-16.8MiB live, 29.7MiB allocated; 10ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01022
14321
210721
324021
4152721
5925221
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
71.3%
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
Symmetry

(negabs x)

Compiler

Compiled 14 to 10 computations (28.6% saved)

series72.0ms (1.8%)

Memory
34.0MiB live, 34.0MiB allocated; 0ms collecting garbage
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:

TimeVariablePoint
1.0ms
x
inf
1.0ms
x
-inf
1.0ms
x
0

rewrite366.0ms (9.4%)

Memory
-19.9MiB live, 162.2MiB allocated; 41ms collecting garbage
Counts
5 → 340
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 #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))) 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 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 x x #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 (-.f64 #s(literal -1 binary64) (*.f64 x x))))
(*.f64 (/.f64 x (fma.f64 x (+.f64 x x) #s(literal 2 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 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 #s(literal 0 binary64) (neg.f64 x)))
(+.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 (neg.f64 x) #s(literal 0 binary64)))
(+.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(literal 0 binary64))
(+.f64 (/.f64 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 x (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.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 (neg.f64 x) (-.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 (+.f64 x x) (fma.f64 x (+.f64 x x) #s(literal 2 binary64)))
(/.f64 x (*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) (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 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 1 binary64))) x) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (+.f64 x x)) #s(literal 2 binary64))
(/.f64 (*.f64 #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 2 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 4 binary64))
(/.f64 (*.f64 x (/.f64 #s(literal 2 binary64) (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 (+.f64 x x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 x x) #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 (neg.f64 x) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 x x))))
(/.f64 (*.f64 #s(literal -2 binary64) (neg.f64 x)) (*.f64 #s(literal -2 binary64) (-.f64 #s(literal -1 binary64) (*.f64 x x))))
(/.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 -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 (-.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -2 binary64) x) (*.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 (neg.f64 x) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -2 binary64) (+.f64 x x)) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 (+.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))))
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 x) (*.f64 #s(literal 0 binary64) (neg.f64 x)))
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 x) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) x (*.f64 #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 (/.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 #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 (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 x (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (*.f64 #s(literal 0 binary64) (neg.f64 x)))
(fma.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (neg.f64 x) #s(literal 0 binary64)))
(fma.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 x (-.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 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 (/.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 (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 #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 (/.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 (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 #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 (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 (/.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 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 #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 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 #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)))
(neg.f64 (/.f64 x (-.f64 #s(literal -1 binary64) (*.f64 x x))))
x
(*.f64 x #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) x)
(*.f64 (neg.f64 x) #s(literal -1 binary64))
(*.f64 (+.f64 x x) #s(literal 1/2 binary64))
(*.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (/.f64 (+.f64 x x) #s(literal 8 binary64)) #s(literal 4 binary64))
(*.f64 (/.f64 (+.f64 x x) #s(literal 4 binary64)) #s(literal 2 binary64))
(+.f64 x #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) x)
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x))
(-.f64 x #s(literal 0 binary64))
(-.f64 x (*.f64 (neg.f64 x) #s(literal 0 binary64)))
(/.f64 x #s(literal 1 binary64))
(/.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))
(/.f64 (+.f64 x x) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -2 binary64))
(/.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64)) #s(literal 4 binary64))
(/.f64 (*.f64 (+.f64 x x) #s(literal -2 binary64)) #s(literal -4 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal -4 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x)) #s(literal 4 binary64))
(/.f64 (/.f64 (+.f64 x x) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (neg.f64 (+.f64 x x)) #s(literal -2 binary64))
(fma.f64 #s(literal 0 binary64) #s(literal -1 binary64) x)
(fma.f64 #s(literal 0 binary64) #s(literal 1 binary64) x)
(fma.f64 x #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 0 binary64) #s(literal 1/2 binary64) x)
(fma.f64 #s(literal 0 binary64) #s(literal 4 binary64) x)
(fma.f64 #s(literal 0 binary64) #s(literal -2 binary64) x)
(fma.f64 #s(literal 0 binary64) #s(literal 2 binary64) x)
(fma.f64 #s(literal 0 binary64) #s(literal 0 binary64) x)
(fma.f64 #s(literal 1/2 binary64) #s(literal 0 binary64) x)
(fma.f64 #s(literal 2 binary64) #s(literal 0 binary64) x)
(fma.f64 #s(literal -2 binary64) #s(literal 0 binary64) x)
(fma.f64 x #s(literal 0 binary64) x)
(fma.f64 #s(literal 1 binary64) #s(literal 0 binary64) x)
(fma.f64 #s(literal -1 binary64) #s(literal 0 binary64) x)
(fma.f64 #s(literal 4 binary64) #s(literal 0 binary64) x)
(fma.f64 #s(literal 1 binary64) x #s(literal 0 binary64))
(fma.f64 #s(literal 0 binary64) x x)
(fma.f64 (neg.f64 x) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (+.f64 x x) #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 8 binary64)) #s(literal 4 binary64) x)
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (/.f64 (+.f64 x x) #s(literal 8 binary64)) #s(literal 4 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 (+.f64 x x) #s(literal 4 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) x)
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) x)
(neg.f64 (neg.f64 x))
(*.f64 (fma.f64 x (+.f64 x x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 (/.f64 (fma.f64 x (+.f64 x x) #s(literal 2 binary64)) #s(literal 8 binary64)) #s(literal 4 binary64))
(*.f64 (/.f64 (fma.f64 x (+.f64 x x) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64))
(+.f64 (*.f64 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 binary64) (*.f64 x x))
(+.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 1 binary64)))
(+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(+.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (neg.f64 (*.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 (+.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x x))))
(-.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (*.f64 x x)) #s(literal 0 binary64)))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 x (+.f64 x x) #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) (*.f64 x x)) #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 (fma.f64 x (+.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 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))
(fma.f64 x 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 (fabs.f64 x) (fabs.f64 x) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) #s(literal 8 binary64)) #s(literal 4 binary64) (*.f64 x x))
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 8 binary64)) #s(literal 4 binary64) (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (*.f64 x x))
(fma.f64 #s(literal 0 binary64) #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (*.f64 x x))
(fma.f64 #s(literal 0 binary64) #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 #s(literal 0 binary64) #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) #s(literal 1/2 binary64) (*.f64 x x))
(fma.f64 #s(literal 0 binary64) #s(literal 4 binary64) (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 #s(literal 0 binary64) #s(literal -2 binary64) (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) #s(literal -2 binary64) (*.f64 x x))
(fma.f64 #s(literal 1/2 binary64) #s(literal 2 binary64) (*.f64 x x))
(fma.f64 #s(literal 0 binary64) #s(literal 2 binary64) (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 #s(literal 0 binary64) #s(literal 0 binary64) (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) #s(literal 0 binary64) (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) #s(literal 0 binary64) (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 #s(literal -2 binary64) #s(literal 0 binary64) (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x #s(literal 0 binary64) (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) #s(literal 0 binary64) (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) #s(literal 0 binary64) (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 #s(literal 4 binary64) #s(literal 0 binary64) (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 #s(literal -2 binary64) #s(literal -1/2 binary64) (*.f64 x x))
(fma.f64 #s(literal 4 binary64) #s(literal 1/4 binary64) (*.f64 x x))
(fma.f64 #s(literal 0 binary64) x (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 (fma.f64 x (+.f64 x x) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) #s(literal 1 binary64))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(fma.f64 #s(literal 2 binary64) #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(fma.f64 #s(literal 1 binary64) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(fma.f64 #s(literal 1/4 binary64) #s(literal 2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) #s(literal 4 binary64) (+.f64 #s(literal 1/2 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 #s(literal 1/2 binary64) #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 x x))))
(fma.f64 #s(literal 2 binary64) #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 x x))))
(fma.f64 #s(literal 1 binary64) #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 x x))))
(fma.f64 #s(literal 1/4 binary64) #s(literal 2 binary64) (-.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 x x))))
(fma.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 x x))))
(neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)))
(*.f64 x x)
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(fabs.f64 (*.f64 x x))
(fabs.f64 (neg.f64 (*.f64 x x)))
(fabs.f64 (*.f64 x (fabs.f64 x)))
(fabs.f64 (*.f64 (fabs.f64 x) x))
(fabs.f64 (*.f64 (fabs.f64 x) (neg.f64 x)))
(fabs.f64 (*.f64 (neg.f64 x) (fabs.f64 x)))
(fabs.f64 (*.f64 x (neg.f64 (fabs.f64 x))))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 x)) x))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x)))
(fabs.f64 (*.f64 (neg.f64 x) (neg.f64 (fabs.f64 x))))
(+.f64 (*.f64 x x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 x x))
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x x)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(-.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x x))))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x x))))
(/.f64 (*.f64 (+.f64 x x) (+.f64 x x)) #s(literal 4 binary64))
(/.f64 (*.f64 (+.f64 x x) x) #s(literal 2 binary64))
(/.f64 (*.f64 x (+.f64 x x)) #s(literal 2 binary64))
(fma.f64 x x #s(literal 0 binary64))
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal 0 binary64))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (fabs.f64 x) (fabs.f64 x) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 8 binary64)) #s(literal 4 binary64) (*.f64 x x))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal 0 binary64))
(fma.f64 #s(literal 0 binary64) #s(literal -1 binary64) (*.f64 x x))
(fma.f64 #s(literal 0 binary64) #s(literal 1 binary64) (*.f64 x x))
(fma.f64 #s(literal 0 binary64) #s(literal 1/2 binary64) (*.f64 x x))
(fma.f64 #s(literal 0 binary64) #s(literal 4 binary64) (*.f64 x x))
(fma.f64 #s(literal 0 binary64) #s(literal -2 binary64) (*.f64 x x))
(fma.f64 #s(literal 0 binary64) #s(literal 2 binary64) (*.f64 x x))
(fma.f64 #s(literal 0 binary64) #s(literal 0 binary64) (*.f64 x x))
(fma.f64 #s(literal 1/2 binary64) #s(literal 0 binary64) (*.f64 x x))
(fma.f64 #s(literal 2 binary64) #s(literal 0 binary64) (*.f64 x x))
(fma.f64 #s(literal -2 binary64) #s(literal 0 binary64) (*.f64 x x))
(fma.f64 x #s(literal 0 binary64) (*.f64 x x))
(fma.f64 #s(literal 1 binary64) #s(literal 0 binary64) (*.f64 x x))
(fma.f64 #s(literal -1 binary64) #s(literal 0 binary64) (*.f64 x x))
(fma.f64 #s(literal 4 binary64) #s(literal 0 binary64) (*.f64 x x))
(fma.f64 #s(literal 0 binary64) x (*.f64 x x))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) #s(literal 0 binary64))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (*.f64 x x))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (*.f64 x x))
(neg.f64 (neg.f64 (*.f64 x x)))
(neg.f64 (-.f64 (neg.f64 (*.f64 x x)) #s(literal 0 binary64)))
(neg.f64 (+.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x x))))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x x)))
#s(literal 1 binary64)
(*.f64 #s(literal -1 binary64) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
(*.f64 #s(literal -2 binary64) #s(literal -1/2 binary64))
(*.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) #s(literal 8 binary64)) #s(literal 4 binary64))
(fabs.f64 #s(literal -1 binary64))
(fabs.f64 #s(literal 1 binary64))
(+.f64 #s(literal 0 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(+.f64 #s(literal 1 binary64) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) #s(literal -1 binary64))
(-.f64 #s(literal 2 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) #s(literal 0 binary64))
(-.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))
(-.f64 (*.f64 (cosh.f64 #s(literal 1 binary64)) (cosh.f64 #s(literal 1 binary64))) (*.f64 (sinh.f64 #s(literal 1 binary64)) (sinh.f64 #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 4 binary64) #s(literal 4 binary64))
(/.f64 #s(literal -2 binary64) #s(literal -2 binary64))
(/.f64 #s(literal 2 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 8 binary64) #s(literal 8 binary64))
(/.f64 #s(literal -4 binary64) #s(literal -4 binary64))
(/.f64 (*.f64 #s(literal 8 binary64) #s(literal 1 binary64)) #s(literal 8 binary64))
(/.f64 (*.f64 #s(literal 8 binary64) #s(literal 1/2 binary64)) #s(literal 4 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) #s(literal -2 binary64)) #s(literal -2 binary64))
(/.f64 (+.f64 #s(literal -4 binary64) #s(literal 0 binary64)) #s(literal -4 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) #s(literal -4 binary64)) #s(literal -4 binary64))
(/.f64 (-.f64 #s(literal -4 binary64) #s(literal 0 binary64)) #s(literal -4 binary64))
(/.f64 (exp.f64 #s(literal 1 binary64)) (exp.f64 #s(literal 1 binary64)))
(copysign.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(copysign.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(cosh.f64 #s(literal 0 binary64))
(exp.f64 #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 0 binary64) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) #s(literal 1 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 0 binary64) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 0 binary64) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 0 binary64) #s(literal 4 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 0 binary64) #s(literal -2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) #s(literal -2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 0 binary64) #s(literal 2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/4 binary64) #s(literal 2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 0 binary64) #s(literal 0 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) #s(literal 0 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) #s(literal 0 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -2 binary64) #s(literal 0 binary64) #s(literal 1 binary64))
(fma.f64 x #s(literal 0 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal 0 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) #s(literal 0 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 4 binary64) #s(literal 0 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -2 binary64) #s(literal -1/2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 4 binary64) #s(literal 1/4 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 0 binary64) x #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) #s(literal 4 binary64) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) #s(literal 8 binary64)) #s(literal 4 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 8 binary64)) #s(literal 4 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))
(hypot.f64 #s(literal 0 binary64) #s(literal 1 binary64))
(hypot.f64 #s(literal 0 binary64) #s(literal -1 binary64))
(hypot.f64 #s(literal 1 binary64) #s(literal 0 binary64))
(hypot.f64 #s(literal -1 binary64) #s(literal 0 binary64))
(neg.f64 #s(literal -1 binary64))
(pow.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64))
(pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))
(pow.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(sqrt.f64 #s(literal 1 binary64))

eval150.0ms (3.8%)

Memory
3.8MiB live, 49.5MiB allocated; 8ms collecting garbage
Compiler

Compiled 4 246 to 1 008 computations (76.3% saved)

prune20.0ms (0.5%)

Memory
15.4MiB live, 15.4MiB allocated; 0ms collecting garbage
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New3474351
Fresh000
Picked101
Done000
Total3484352
Accuracy
100.0%
Counts
352 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
71.3%
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
56.4%
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
44.7%
#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))))))
45.6%
#s(approx (/ x (+ (* x x) 1)) x)
Compiler

Compiled 43 to 31 computations (27.9% saved)

series80.0ms (2.1%)

Memory
8.8MiB live, 55.1MiB allocated; 9ms collecting garbage
Counts
14 → 21
Calls
Call 1
Inputs
#s(approx (/ x (+ (* x x) 1)) x)
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))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.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 2 binary64))))
#s(literal 1 binary64)
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal -1 binary64)
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
Outputs
#s(approx (/ x (+ (* x x) 1)) x)
#s(approx (/ x (+ (* x x) 1)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ x (+ (* x x) 1)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))))
#s(approx (/ x (+ (* x x) 1)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))))))
#s(approx (+ 1 (* -1 (pow x 2))) #s(literal 1 binary64))
#s(approx (+ 1 (* -1 (pow x 2))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* -1 (pow x 2)) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (pow x 2) (pow.f64 x #s(literal 2 binary64)))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx (+ (* x x) 1) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x))
#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x))
#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))) x))
#s(approx (* x (+ 1 (* -1 (pow x 2)))) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* x (+ 1 (* -1 (pow x 2)))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (+ 1 (* -1 (pow x 2))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (+ (* x x) 1) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ x (+ (* x x) 1)) (*.f64 #s(literal -1 binary64) (/.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 (+ 1 (* -1 (pow x 2)))) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
Calls

3 calls:

TimeVariablePoint
2.0ms
x
-inf
2.0ms
x
0
2.0ms
x
inf

rewrite198.0ms (5.1%)

Memory
7.8MiB live, 108.1MiB allocated; 28ms collecting garbage
Counts
14 → 44
Calls
Call 1
Inputs
#s(approx (/ x (+ (* x x) 1)) x)
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))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.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 2 binary64))))
#s(literal 1 binary64)
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal -1 binary64)
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
Outputs
#s(approx (/ x (+ 1 (* x x))) x)
x
#s(approx (/ x (+ 1 (* x x))) (*.f64 x (+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x x)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x x))))
(*.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x x))) x)
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 (*.f64 x x)) x))
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x (neg.f64 (*.f64 x x))))
(fma.f64 #s(literal 1 binary64) x (*.f64 (neg.f64 (*.f64 x x)) x))
(fma.f64 x #s(literal 1 binary64) (*.f64 x (neg.f64 (*.f64 x x))))
(+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x x)))
(+.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 x x))))
(fma.f64 (*.f64 x x) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal 1 binary64)
(cosh.f64 #s(literal 0 binary64))
(exp.f64 #s(literal 0 binary64))
(neg.f64 #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal -1 binary64))
(neg.f64 (*.f64 x x))
#s(literal -1 binary64)
(neg.f64 #s(literal 1 binary64))
(*.f64 x x)
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) #s(literal 1 binary64))
#s(approx (/ x (+ 1 (* x x))) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(pow.f64 x #s(literal -1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (neg.f64 x) (neg.f64 (fma.f64 x x #s(literal 1 binary64))))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(-.f64 (*.f64 x x) #s(literal -1 binary64))
(fma.f64 x x #s(literal 1 binary64))
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (fabs.f64 x) (fabs.f64 x) #s(literal 1 binary64))

eval10.0ms (0.3%)

Memory
-38.1MiB live, 8.0MiB allocated; 6ms collecting garbage
Compiler

Compiled 1 019 to 218 computations (78.6% saved)

prune19.0ms (0.5%)

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

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New60161
Fresh000
Picked134
Done000
Total61465
Accuracy
100.0%
Counts
65 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
71.3%
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
56.4%
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
44.7%
#s(approx (/ x (+ (* x x) 1)) (*.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x x))) x))
45.6%
#s(approx (/ x (+ (* x x) 1)) x)
Compiler

Compiled 42 to 29 computations (31% saved)

series100.0ms (2.6%)

Memory
27.1MiB live, 27.1MiB allocated; 0ms collecting garbage
Counts
7 → 19
Calls
Call 1
Inputs
#s(approx (/ x (+ (* x x) 1)) (*.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x x))) x))
(*.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x x))) x)
(+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x x)))
#s(literal 1 binary64)
(neg.f64 (*.f64 x x))
(*.f64 x x)
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 (+ 1 (neg (* x x))) #s(literal 1 binary64))
#s(approx (+ 1 (neg (* x x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (neg (* x x)) (*.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 (* (+ 1 (neg (* x x))) x) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* (+ 1 (neg (* x x))) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (+ 1 (neg (* x x))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 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)))
#s(approx (* (+ 1 (neg (* x x))) x) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
Calls

3 calls:

TimeVariablePoint
3.0ms
x
inf
3.0ms
x
-inf
2.0ms
x
0

rewrite454.0ms (11.6%)

Memory
-23.0MiB live, 449.1MiB allocated; 151ms collecting garbage
Counts
7 → 437
Calls
Call 1
Inputs
#s(approx (/ x (+ (* x x) 1)) (*.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x x))) x))
(*.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x x))) x)
(+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x x)))
#s(literal 1 binary64)
(neg.f64 (*.f64 x x))
(*.f64 x x)
x
Outputs
#s(approx (/ x (+ (* x x) 1)) (-.f64 x (*.f64 (*.f64 x x) x)))
(*.f64 (neg.f64 x) (fma.f64 x x #s(literal -1 binary64)))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x)
(*.f64 (-.f64 x (*.f64 (*.f64 x x) x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (*.f64 x x) x)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x)
(*.f64 x (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(+.f64 (neg.f64 (*.f64 (*.f64 x x) x)) x)
(+.f64 (-.f64 x (*.f64 (*.f64 x x) x)) #s(literal 0 binary64))
(+.f64 x (neg.f64 (*.f64 (*.f64 x x) x)))
(+.f64 x (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) x)))
(+.f64 (-.f64 x (*.f64 (*.f64 x x) x)) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(+.f64 (-.f64 x (*.f64 (*.f64 x x) x)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64)))
(+.f64 x (+.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (*.f64 x x) x))))
(-.f64 x (*.f64 (*.f64 x x) x))
(-.f64 (neg.f64 (*.f64 (*.f64 x x) x)) (neg.f64 x))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (+.f64 x x)) #s(literal 4 binary64))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) #s(literal 2 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x x)) #s(literal 2 binary64))
(/.f64 (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (+.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (*.f64 (+.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 2 binary64))
(/.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 x x) x)) #s(literal 2 binary64) (+.f64 x x)) #s(literal 2 binary64))
(fma.f64 (neg.f64 x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 x) (*.f64 x x) x)
(fma.f64 (*.f64 x x) (neg.f64 x) x)
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 x) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x #s(literal 0 binary64))
(fma.f64 (*.f64 (neg.f64 x) (fabs.f64 x)) (fabs.f64 x) x)
(fma.f64 (*.f64 (fabs.f64 x) x) (neg.f64 (fabs.f64 x)) x)
(fma.f64 (-.f64 x (*.f64 (*.f64 x x) x)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (neg.f64 (*.f64 (*.f64 x x) x)) #s(literal 1 binary64) x)
(fma.f64 (neg.f64 (fabs.f64 x)) (*.f64 (fabs.f64 x) x) x)
(fma.f64 (neg.f64 (*.f64 x x)) x x)
(fma.f64 (/.f64 (+.f64 x x) #s(literal 8 binary64)) #s(literal 4 binary64) (neg.f64 (*.f64 (*.f64 x x) x)))
(fma.f64 (/.f64 (+.f64 x x) #s(literal 8 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) x)))
(fma.f64 (/.f64 (+.f64 x x) #s(literal 4 binary64)) #s(literal 2 binary64) (neg.f64 (*.f64 (*.f64 x x) x)))
(fma.f64 (/.f64 (+.f64 x x) #s(literal 4 binary64)) #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) x)))
(fma.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (*.f64 x x) x)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 x x) x)) x)
(fma.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 x (neg.f64 (*.f64 x x)) x)
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (neg.f64 x)) x)
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x x) x)))
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) x)))
(fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 x x) x)))
(fma.f64 x #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) x)))
(fma.f64 (+.f64 x x) #s(literal 1/2 binary64) (neg.f64 (*.f64 (*.f64 x x) x)))
(fma.f64 (+.f64 x x) #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) x)))
(fma.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64) (neg.f64 (*.f64 (*.f64 x x) x)))
(fma.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) x)))
(fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 (*.f64 x x) x)))
(fma.f64 #s(literal 1 binary64) x (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) x)))
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (neg.f64 (*.f64 (*.f64 x x) x)))
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) x)))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x) (neg.f64 (*.f64 (*.f64 x x) x)))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) x)))
(fma.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)) (neg.f64 (*.f64 (*.f64 x x) x)))
(fma.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) x)))
(fma.f64 (*.f64 (neg.f64 (fabs.f64 x)) x) (fabs.f64 x) x)
(fma.f64 (*.f64 (neg.f64 x) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)) x)
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x #s(literal 0 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (neg.f64 (fabs.f64 x)) x) x)
(fma.f64 (neg.f64 (fabs.f64 x)) (*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x)) x)
(fma.f64 x (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(fma.f64 x (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 x (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 0 binary64))
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 x) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(fma.f64 (neg.f64 x) (fma.f64 x x #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(fma.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (*.f64 x x) x)) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(fma.f64 (-.f64 x (*.f64 (*.f64 x x) x)) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(fma.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 (neg.f64 x) (fma.f64 x x #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (*.f64 x x) x)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 (-.f64 x (*.f64 (*.f64 x x) x)) #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (+.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (*.f64 x x) x))))
(fma.f64 #s(literal 1 binary64) x (+.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (*.f64 x x) x))))
(fma.f64 x #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (*.f64 x x) x))))
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (+.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (*.f64 x x) x))))
(fma.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (*.f64 x x) x))))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (*.f64 x x) x))))
(fma.f64 (+.f64 x x) #s(literal 1/2 binary64) (+.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (*.f64 x x) x))))
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(fma.f64 (fabs.f64 x) (neg.f64 (fabs.f64 x)) #s(literal 0 binary64))
(fma.f64 #s(literal 0 binary64) #s(literal -1 binary64) (neg.f64 (*.f64 x x)))
(fma.f64 #s(literal 0 binary64) #s(literal 1 binary64) (neg.f64 (*.f64 x x)))
(fma.f64 #s(literal 0 binary64) #s(literal 1/2 binary64) (neg.f64 (*.f64 x x)))
(fma.f64 #s(literal 0 binary64) #s(literal 4 binary64) (neg.f64 (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 8 binary64)) #s(literal 4 binary64) (neg.f64 (*.f64 x x)))
(fma.f64 #s(literal 0 binary64) #s(literal -2 binary64) (neg.f64 (*.f64 x x)))
(fma.f64 #s(literal 0 binary64) #s(literal 2 binary64) (neg.f64 (*.f64 x x)))
(fma.f64 #s(literal 0 binary64) #s(literal 0 binary64) (neg.f64 (*.f64 x x)))
(fma.f64 #s(literal 1/2 binary64) #s(literal 0 binary64) (neg.f64 (*.f64 x x)))
(fma.f64 #s(literal 2 binary64) #s(literal 0 binary64) (neg.f64 (*.f64 x x)))
(fma.f64 #s(literal -2 binary64) #s(literal 0 binary64) (neg.f64 (*.f64 x x)))
(fma.f64 x #s(literal 0 binary64) (neg.f64 (*.f64 x x)))
(fma.f64 #s(literal 1 binary64) #s(literal 0 binary64) (neg.f64 (*.f64 x x)))
(fma.f64 #s(literal -1 binary64) #s(literal 0 binary64) (neg.f64 (*.f64 x x)))
(fma.f64 #s(literal 4 binary64) #s(literal 0 binary64) (neg.f64 (*.f64 x x)))
(fma.f64 (neg.f64 x) x (*.f64 #s(literal 0 binary64) (neg.f64 x)))
(fma.f64 (neg.f64 x) x (*.f64 (neg.f64 x) #s(literal 0 binary64)))
(fma.f64 #s(literal 0 binary64) x (neg.f64 (*.f64 x x)))
(fma.f64 x (neg.f64 x) (*.f64 #s(literal 0 binary64) (neg.f64 x)))
(fma.f64 x (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 0 binary64)))
(neg.f64 (*.f64 x x))
(neg.f64 (-.f64 (*.f64 x x) #s(literal 0 binary64)))
(*.f64 x x)
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(fabs.f64 (*.f64 x x))
(fabs.f64 (neg.f64 (*.f64 x x)))
(fabs.f64 (*.f64 (fabs.f64 x) x))
(fabs.f64 (*.f64 (fabs.f64 x) (neg.f64 x)))
(fabs.f64 (*.f64 (neg.f64 x) (fabs.f64 x)))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 x)) x))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x)))
(fabs.f64 (*.f64 (neg.f64 x) (neg.f64 (fabs.f64 x))))
(+.f64 (*.f64 x x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 x x))
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x x)))
(/.f64 (*.f64 (+.f64 x x) (+.f64 x x)) #s(literal 4 binary64))
(/.f64 (*.f64 (+.f64 x x) x) #s(literal 2 binary64))
(/.f64 (*.f64 x (+.f64 x x)) #s(literal 2 binary64))
(fma.f64 x x #s(literal 0 binary64))
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal 0 binary64))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (fabs.f64 x) (fabs.f64 x) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 8 binary64)) #s(literal 4 binary64) (*.f64 x x))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal 0 binary64))
(fma.f64 #s(literal 0 binary64) #s(literal -1 binary64) (*.f64 x x))
(fma.f64 #s(literal 0 binary64) #s(literal 1 binary64) (*.f64 x x))
(fma.f64 #s(literal 0 binary64) #s(literal 1/2 binary64) (*.f64 x x))
(fma.f64 #s(literal 0 binary64) #s(literal 4 binary64) (*.f64 x x))
(fma.f64 #s(literal 0 binary64) #s(literal -2 binary64) (*.f64 x x))
(fma.f64 #s(literal 0 binary64) #s(literal 2 binary64) (*.f64 x x))
(fma.f64 #s(literal -1 binary64) #s(literal 0 binary64) (*.f64 x x))
(fma.f64 #s(literal 1 binary64) #s(literal 0 binary64) (*.f64 x x))
(fma.f64 #s(literal 1/2 binary64) #s(literal 0 binary64) (*.f64 x x))
(fma.f64 #s(literal 4 binary64) #s(literal 0 binary64) (*.f64 x x))
(fma.f64 #s(literal -2 binary64) #s(literal 0 binary64) (*.f64 x x))
(fma.f64 #s(literal 2 binary64) #s(literal 0 binary64) (*.f64 x x))
(fma.f64 #s(literal 0 binary64) #s(literal 0 binary64) (*.f64 x x))
(fma.f64 x #s(literal 0 binary64) (*.f64 x x))
(fma.f64 #s(literal 0 binary64) x (*.f64 x x))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) #s(literal 0 binary64))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (*.f64 x x))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (*.f64 x x))
(neg.f64 (neg.f64 (*.f64 x x)))
(neg.f64 (-.f64 (neg.f64 (*.f64 x x)) #s(literal 0 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x x)))
x
(*.f64 x #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) x)
(*.f64 (neg.f64 x) #s(literal -1 binary64))
(*.f64 (+.f64 x x) #s(literal 1/2 binary64))
(*.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 x))
(*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (/.f64 (+.f64 x x) #s(literal 8 binary64)) #s(literal 4 binary64))
(*.f64 (/.f64 (+.f64 x x) #s(literal 4 binary64)) #s(literal 2 binary64))
(+.f64 x #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) x)
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x))
(-.f64 x #s(literal 0 binary64))
(-.f64 x (*.f64 (neg.f64 x) #s(literal 0 binary64)))
(/.f64 x #s(literal 1 binary64))
(/.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))
(/.f64 (+.f64 x x) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -2 binary64))
(/.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64)) #s(literal 4 binary64))
(/.f64 (*.f64 (+.f64 x x) #s(literal -2 binary64)) #s(literal -4 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal -4 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x)) #s(literal 4 binary64))
(/.f64 (/.f64 (+.f64 x x) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (neg.f64 (+.f64 x x)) #s(literal -2 binary64))
(fma.f64 #s(literal 0 binary64) #s(literal -1 binary64) x)
(fma.f64 #s(literal 0 binary64) #s(literal 1 binary64) x)
(fma.f64 x #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 0 binary64) #s(literal 1/2 binary64) x)
(fma.f64 #s(literal 0 binary64) #s(literal 4 binary64) x)
(fma.f64 #s(literal 0 binary64) #s(literal -2 binary64) x)
(fma.f64 #s(literal 0 binary64) #s(literal 2 binary64) x)
(fma.f64 #s(literal -1 binary64) #s(literal 0 binary64) x)
(fma.f64 #s(literal 1 binary64) #s(literal 0 binary64) x)
(fma.f64 #s(literal 1/2 binary64) #s(literal 0 binary64) x)
(fma.f64 #s(literal 4 binary64) #s(literal 0 binary64) x)
(fma.f64 #s(literal -2 binary64) #s(literal 0 binary64) x)
(fma.f64 #s(literal 2 binary64) #s(literal 0 binary64) x)
(fma.f64 #s(literal 0 binary64) #s(literal 0 binary64) x)
(fma.f64 x #s(literal 0 binary64) x)
(fma.f64 #s(literal 1 binary64) x #s(literal 0 binary64))
(fma.f64 #s(literal 0 binary64) x x)
(fma.f64 (neg.f64 x) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (+.f64 x x) #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 8 binary64)) #s(literal 4 binary64) x)
(fma.f64 #s(literal -1 binary64) (neg.f64 x) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (/.f64 (+.f64 x x) #s(literal 8 binary64)) #s(literal 4 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 (+.f64 x x) #s(literal 4 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) x)
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) x)
(neg.f64 (neg.f64 x))

eval49.0ms (1.3%)

Memory
25.4MiB live, 71.0MiB allocated; 8ms collecting garbage
Compiler

Compiled 9 135 to 1 799 computations (80.3% saved)

prune10.0ms (0.2%)

Memory
15.8MiB live, 15.8MiB allocated; 0ms collecting garbage
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New4481449
Fresh000
Picked101
Done033
Total4494453
Accuracy
100.0%
Counts
453 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
71.3%
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
56.4%
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
44.7%
#s(approx (/ x (+ (* x x) 1)) (-.f64 x (*.f64 (*.f64 x x) x)))
45.6%
#s(approx (/ x (+ (* x x) 1)) x)
Compiler

Compiled 41 to 27 computations (34.1% saved)

series72.0ms (1.8%)

Memory
-1.2MiB live, 45.2MiB allocated; 4ms collecting garbage
Counts
5 → 16
Calls
Call 1
Inputs
#s(approx (/ x (+ (* x x) 1)) (-.f64 x (*.f64 (*.f64 x x) x)))
(-.f64 x (*.f64 (*.f64 x x) x))
x
(*.f64 (*.f64 x x) x)
(*.f64 x 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) x) (pow.f64 x #s(literal 3 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 x) x)) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- x (* (* x x) x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 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)))
#s(approx (- x (* (* x x) x)) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
Calls

3 calls:

TimeVariablePoint
1.0ms
x
-inf
1.0ms
x
inf
1.0ms
x
0

rewrite404.0ms (10.4%)

Memory
-18.9MiB live, 259.0MiB allocated; 78ms collecting garbage
Counts
5 → 224
Calls
Call 1
Inputs
#s(approx (/ x (+ (* x x) 1)) (-.f64 x (*.f64 (*.f64 x x) x)))
(-.f64 x (*.f64 (*.f64 x x) x))
x
(*.f64 (*.f64 x x) x)
(*.f64 x x)
Outputs
#s(approx (/ x (+ (* x x) 1)) (-.f64 x (*.f64 (*.f64 x x) x)))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x)
(*.f64 (-.f64 x (*.f64 (*.f64 x x) x)) #s(literal 1 binary64))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (*.f64 x x) x)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x)
(*.f64 x (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(+.f64 (neg.f64 (*.f64 (*.f64 x x) x)) x)
(+.f64 (-.f64 x (*.f64 (*.f64 x x) x)) #s(literal 0 binary64))
(+.f64 x (neg.f64 (*.f64 (*.f64 x x) x)))
(+.f64 x (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) x)))
(+.f64 (-.f64 x (*.f64 (*.f64 x x) x)) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(+.f64 (-.f64 x (*.f64 (*.f64 x x) x)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64)))
(+.f64 x (+.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (*.f64 x x) x))))
(-.f64 x (*.f64 (*.f64 x x) x))
(-.f64 (neg.f64 (*.f64 (*.f64 x x) x)) (neg.f64 x))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x x)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (+.f64 x x)) #s(literal 4 binary64))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) #s(literal 2 binary64))
(/.f64 (*.f64 (+.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 2 binary64))
(/.f64 (*.f64 (+.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 x x) x)) #s(literal 2 binary64) (+.f64 x x)) #s(literal 2 binary64))
(fma.f64 (neg.f64 x) (*.f64 x x) x)
(fma.f64 (*.f64 x x) (neg.f64 x) x)
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 x) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x #s(literal 0 binary64))
(fma.f64 (*.f64 (neg.f64 x) (fabs.f64 x)) (fabs.f64 x) x)
(fma.f64 (*.f64 (fabs.f64 x) x) (neg.f64 (fabs.f64 x)) x)
(fma.f64 (neg.f64 (*.f64 (*.f64 x x) x)) #s(literal 1 binary64) x)
(fma.f64 (-.f64 x (*.f64 (*.f64 x x) x)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (neg.f64 (*.f64 x x)) x x)
(fma.f64 (neg.f64 (fabs.f64 x)) (*.f64 (fabs.f64 x) x) x)
(fma.f64 (/.f64 (+.f64 x x) #s(literal 8 binary64)) #s(literal 4 binary64) (neg.f64 (*.f64 (*.f64 x x) x)))
(fma.f64 (/.f64 (+.f64 x x) #s(literal 8 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) x)))
(fma.f64 (/.f64 (+.f64 x x) #s(literal 4 binary64)) #s(literal 2 binary64) (neg.f64 (*.f64 (*.f64 x x) x)))
(fma.f64 (/.f64 (+.f64 x x) #s(literal 4 binary64)) #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) x)))
(fma.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (neg.f64 x) (fabs.f64 x)) x)
(fma.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 x x) x)) x)
(fma.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (*.f64 x x) x)) #s(literal 0 binary64))
(fma.f64 x (neg.f64 (*.f64 x x)) x)
(fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 (*.f64 x x) x)))
(fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 x x) x)))
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x x) x)))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x) (neg.f64 (*.f64 (*.f64 x x) x)))
(fma.f64 (+.f64 x x) #s(literal 1/2 binary64) (neg.f64 (*.f64 (*.f64 x x) x)))
(fma.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64) (neg.f64 (*.f64 (*.f64 x x) x)))
(fma.f64 #s(literal 1 binary64) x (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) x)))
(fma.f64 x #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) x)))
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) x)))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) x)))
(fma.f64 (+.f64 x x) #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) x)))
(fma.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) x)))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x #s(literal 0 binary64))
(fma.f64 x (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(fma.f64 x (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 x (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(fma.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 x) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(fma.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (*.f64 x x) x)) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(fma.f64 (-.f64 x (*.f64 (*.f64 x x) x)) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (*.f64 x x) x)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 (-.f64 x (*.f64 (*.f64 x x) x)) #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) x (+.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (*.f64 x x) x))))
(fma.f64 x #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (*.f64 x x) x))))
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (+.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (*.f64 x x) x))))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (*.f64 x x) x))))
(fma.f64 (+.f64 x x) #s(literal 1/2 binary64) (+.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (*.f64 x x) x))))
(fma.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64) (+.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (*.f64 x x) x))))
(fma.f64 (/.f64 (+.f64 x x) #s(literal 4 binary64)) #s(literal 2 binary64) (+.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (*.f64 x x) x))))
(fma.f64 (/.f64 (+.f64 x x) #s(literal 8 binary64)) #s(literal 4 binary64) (+.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (*.f64 x x) x))))
(neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))
x
(*.f64 x #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) x)
(*.f64 (neg.f64 x) #s(literal -1 binary64))
(*.f64 (+.f64 x x) #s(literal 1/2 binary64))
(*.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (/.f64 (+.f64 x x) #s(literal 8 binary64)) #s(literal 4 binary64))
(*.f64 (/.f64 (+.f64 x x) #s(literal 4 binary64)) #s(literal 2 binary64))
(+.f64 x #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) x)
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x))
(-.f64 x #s(literal 0 binary64))
(-.f64 x (*.f64 (neg.f64 x) #s(literal 0 binary64)))
(/.f64 x #s(literal 1 binary64))
(/.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))
(/.f64 (+.f64 x x) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -2 binary64))
(/.f64 (*.f64 (+.f64 x x) #s(literal -2 binary64)) #s(literal -4 binary64))
(/.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64)) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal -4 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x)) #s(literal 4 binary64))
(/.f64 (/.f64 (+.f64 x x) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (neg.f64 (+.f64 x x)) #s(literal -2 binary64))
(fma.f64 #s(literal 0 binary64) #s(literal -1 binary64) x)
(fma.f64 #s(literal 0 binary64) #s(literal 1 binary64) x)
(fma.f64 x #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 0 binary64) #s(literal 1/2 binary64) x)
(fma.f64 #s(literal 0 binary64) #s(literal 4 binary64) x)
(fma.f64 #s(literal 0 binary64) #s(literal -2 binary64) x)
(fma.f64 #s(literal 0 binary64) #s(literal 2 binary64) x)
(fma.f64 #s(literal -1 binary64) #s(literal 0 binary64) x)
(fma.f64 #s(literal 1 binary64) #s(literal 0 binary64) x)
(fma.f64 #s(literal 1/2 binary64) #s(literal 0 binary64) x)
(fma.f64 #s(literal 4 binary64) #s(literal 0 binary64) x)
(fma.f64 #s(literal -2 binary64) #s(literal 0 binary64) x)
(fma.f64 #s(literal 2 binary64) #s(literal 0 binary64) x)
(fma.f64 #s(literal 0 binary64) #s(literal 0 binary64) x)
(fma.f64 x #s(literal 0 binary64) x)
(fma.f64 #s(literal 1 binary64) x #s(literal 0 binary64))
(fma.f64 #s(literal 0 binary64) x x)
(fma.f64 (neg.f64 x) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (+.f64 x x) #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 8 binary64)) #s(literal 4 binary64) x)
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (/.f64 (+.f64 x x) #s(literal 8 binary64)) #s(literal 4 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 (+.f64 x x) #s(literal 4 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) x)
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) x)
(neg.f64 (neg.f64 x))
(*.f64 (*.f64 x x) x)
(*.f64 (*.f64 (*.f64 x x) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))
(*.f64 x (*.f64 x x))
(*.f64 (*.f64 (neg.f64 x) (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (*.f64 (fabs.f64 x) x) (fabs.f64 x))
(*.f64 (neg.f64 (*.f64 x x)) (neg.f64 x))
(*.f64 (neg.f64 (fabs.f64 x)) (*.f64 (neg.f64 x) (fabs.f64 x)))
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) x))
(*.f64 (neg.f64 x) (neg.f64 (*.f64 x x)))
(+.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 0 binary64) (*.f64 x x)))
(+.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) #s(literal 0 binary64)))
(/.f64 (*.f64 (+.f64 x x) (*.f64 x x)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 x x) (+.f64 x x)) #s(literal 2 binary64))
(/.f64 (pow.f64 (+.f64 x x) #s(literal 3 binary64)) #s(literal 8 binary64))
(fma.f64 (*.f64 (neg.f64 x) (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 (*.f64 (neg.f64 x) (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 (*.f64 x x) #s(literal 0 binary64)))
(fma.f64 (*.f64 (fabs.f64 x) x) (fabs.f64 x) (*.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 (*.f64 (fabs.f64 x) x) (fabs.f64 x) (*.f64 (*.f64 x x) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (*.f64 x x)) (neg.f64 x) (*.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 (neg.f64 (*.f64 x x)) (neg.f64 x) (*.f64 (*.f64 x x) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (fabs.f64 x)) (*.f64 (neg.f64 x) (fabs.f64 x)) (*.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 (neg.f64 (fabs.f64 x)) (*.f64 (neg.f64 x) (fabs.f64 x)) (*.f64 (*.f64 x x) #s(literal 0 binary64)))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) x) (*.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) x) (*.f64 (*.f64 x x) #s(literal 0 binary64)))
(fma.f64 (neg.f64 x) (neg.f64 (*.f64 x x)) (*.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 (neg.f64 x) (neg.f64 (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x) (*.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 (*.f64 x x) x (*.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 x (*.f64 x x) (*.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) #s(literal 0 binary64)))
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 0 binary64)))
(fma.f64 (*.f64 x x) x (*.f64 (*.f64 x x) #s(literal 0 binary64)))
(fma.f64 x (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 0 binary64)))
(neg.f64 (neg.f64 (*.f64 (*.f64 x x) x)))
(pow.f64 x #s(literal 3 binary64))
(*.f64 x x)
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(fabs.f64 (*.f64 x x))
(fabs.f64 (neg.f64 (*.f64 x x)))
(fabs.f64 (*.f64 (fabs.f64 x) x))
(fabs.f64 (*.f64 (neg.f64 x) (fabs.f64 x)))
(+.f64 (*.f64 x x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 x x))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(-.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x x))))
(/.f64 (*.f64 (+.f64 x x) (+.f64 x x)) #s(literal 4 binary64))
(/.f64 (*.f64 (+.f64 x x) x) #s(literal 2 binary64))
(/.f64 (*.f64 x (+.f64 x x)) #s(literal 2 binary64))
(fma.f64 x x #s(literal 0 binary64))
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal 0 binary64))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (fabs.f64 x) (fabs.f64 x) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 8 binary64)) #s(literal 4 binary64) (*.f64 x x))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal 0 binary64))
(fma.f64 #s(literal 0 binary64) #s(literal -1 binary64) (*.f64 x x))
(fma.f64 #s(literal 0 binary64) #s(literal 1 binary64) (*.f64 x x))
(fma.f64 #s(literal 0 binary64) #s(literal 1/2 binary64) (*.f64 x x))
(fma.f64 #s(literal 0 binary64) #s(literal 4 binary64) (*.f64 x x))
(fma.f64 #s(literal 0 binary64) #s(literal -2 binary64) (*.f64 x x))
(fma.f64 #s(literal 0 binary64) #s(literal 2 binary64) (*.f64 x x))
(fma.f64 #s(literal -1 binary64) #s(literal 0 binary64) (*.f64 x x))
(fma.f64 #s(literal 1 binary64) #s(literal 0 binary64) (*.f64 x x))
(fma.f64 #s(literal 1/2 binary64) #s(literal 0 binary64) (*.f64 x x))
(fma.f64 #s(literal 4 binary64) #s(literal 0 binary64) (*.f64 x x))
(fma.f64 #s(literal -2 binary64) #s(literal 0 binary64) (*.f64 x x))
(fma.f64 #s(literal 2 binary64) #s(literal 0 binary64) (*.f64 x x))
(fma.f64 #s(literal 0 binary64) #s(literal 0 binary64) (*.f64 x x))
(fma.f64 x #s(literal 0 binary64) (*.f64 x x))
(fma.f64 #s(literal 0 binary64) x (*.f64 x x))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) #s(literal 0 binary64))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (*.f64 x x))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (*.f64 x x))
(neg.f64 (neg.f64 (*.f64 x x)))
(neg.f64 (-.f64 (neg.f64 (*.f64 x x)) #s(literal 0 binary64)))
(neg.f64 (+.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x x))))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x x)))

eval43.0ms (1.1%)

Memory
37.7MiB live, 37.7MiB allocated; 0ms collecting garbage
Compiler

Compiled 5 165 to 873 computations (83.1% saved)

prune8.0ms (0.2%)

Memory
-38.3MiB live, 7.0MiB allocated; 6ms collecting garbage
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New2330233
Fresh000
Picked011
Done033
Total2334237
Accuracy
100.0%
Counts
237 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
71.3%
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
56.4%
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
44.7%
#s(approx (/ x (+ (* x x) 1)) (-.f64 x (*.f64 (*.f64 x x) x)))
45.6%
#s(approx (/ x (+ (* x x) 1)) x)
Compiler

Compiled 41 to 27 computations (34.1% saved)

regimes11.0ms (0.3%)

Memory
18.4MiB live, 18.4MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

6 calls:

2.0ms
x
2.0ms
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
1.0ms
x
1.0ms
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
1.0ms
x
Results
AccuracySegmentsBranch
45.6%1(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
45.6%1x
82.7%3(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
98.3%2x
99.9%2(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
100.0%2x
Compiler

Compiled 105 to 46 computations (56.2% saved)

bsearch18.0ms (0.5%)

Memory
4.2MiB live, 4.3MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
17.0ms
19605.020742522025
966515604.8616716
Samples
14.0ms48×0valid
Compiler

Compiled 61 to 51 computations (16.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-div!: 12.0ms (91.9% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)
ival-mult!: 0.0ms (0% of total)

bsearch11.0ms (0.3%)

Memory
10.4MiB live, 10.4MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
10.0ms
0.011943291772610994
29.63641586558376
Samples
5.0ms128×0valid
Compiler

Compiled 170 to 137 computations (19.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-mult!: 1.0ms (53.8% of total)
ival-div!: 1.0ms (53.8% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)

derivations1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Stop Event
done
Compiler

Compiled 54 to 16 computations (70.4% saved)

preprocess83.0ms (2.1%)

Memory
-23.7MiB live, 65.8MiB allocated; 15ms collecting garbage
Remove

(negabs x)

Compiler

Compiled 176 to 86 computations (51.1% saved)

end0.0ms (0%)

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

Profiling

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