Numeric.SpecFunctions:logGammaCorrection from math-functions-0.1.5.2

Time bar (total: 2.2s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
100%100%0%0%0%0%0%1
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample671.0ms (30.5%)

Memory
6.9MiB live, 294.4MiB allocated; 79ms collecting garbage
Samples
311.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 142.0ms
ival-mult!: 113.0ms (79.7% of total)
ival-sub!: 26.0ms (18.3% of total)
adjust: 2.0ms (1.4% of total)
Bogosity

preprocess72.0ms (3.3%)

Memory
-19.3MiB live, 25.9MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01121
14021
212221
343021
4264721
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))
Symmetry

(abs x)

Compiler

Compiled 14 to 12 computations (14.3% saved)

series125.0ms (5.7%)

Memory
26.2MiB live, 72.0MiB allocated; 4ms collecting garbage
Counts
6 → 6
Calls
Call 1
Inputs
(-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(*.f64 x x)
x
#s(literal 2 binary64)
#s(literal 1 binary64)
Outputs
#s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64))
#s(approx (- (* (* x x) 2) 1) (-.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
#s(approx (* (* x x) 2) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx x x)
#s(approx (- (* (* x x) 2) 1) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 2 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

rewrite624.0ms (28.3%)

Memory
7.7MiB live, 530.9MiB allocated; 192ms collecting garbage
Counts
6 → 879
Calls
Call 1
Inputs
(-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(*.f64 x x)
x
#s(literal 2 binary64)
#s(literal 1 binary64)
Outputs
(*.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -2 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x x) x #s(literal -1 binary64)))
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -2 binary64)) #s(literal 8 binary64)) #s(literal 4 binary64))
(+.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)))
(+.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x))
(+.f64 (*.f64 (+.f64 x x) x) #s(literal -1 binary64))
(+.f64 (fma.f64 (+.f64 x x) x #s(literal -1 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 (+.f64 x x) x))
(+.f64 (*.f64 x x) (+.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64))))
(+.f64 (-.f64 (fma.f64 (+.f64 x x) x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 (-.f64 (*.f64 (+.f64 x x) x) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))
(+.f64 (-.f64 (*.f64 (+.f64 x x) x) #s(literal 0 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x #s(literal -2 binary64)) x)))
(+.f64 #s(literal -1 binary64) (-.f64 (*.f64 (+.f64 x x) x) #s(literal 0 binary64)))
(-.f64 (*.f64 (+.f64 x x) x) #s(literal 1 binary64))
(-.f64 (fma.f64 (+.f64 x x) x #s(literal -1 binary64)) #s(literal 0 binary64))
(-.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (*.f64 x x)))
(-.f64 (*.f64 x x) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
(-.f64 #s(literal -1 binary64) (*.f64 (*.f64 x #s(literal -2 binary64)) x))
(-.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(-.f64 (-.f64 (*.f64 (+.f64 x x) x) #s(literal 0 binary64)) #s(literal 1 binary64))
(-.f64 (-.f64 (*.f64 (+.f64 x x) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(-.f64 (*.f64 x x) (-.f64 (neg.f64 (*.f64 x x)) #s(literal -1 binary64)))
(/.f64 (fma.f64 (+.f64 x x) x #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64) (*.f64 (+.f64 x x) x)) #s(literal 2 binary64))
(/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 (+.f64 x x) x) #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal -2 binary64))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -2 binary64))) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal 0 binary64)) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (fma.f64 (+.f64 x x) x #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (fma.f64 (+.f64 x x) x #s(literal -1 binary64)) #s(literal -2 binary64)) #s(literal 0 binary64)) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 (fma.f64 (+.f64 x x) x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 x x) x) #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal -2 binary64))
(fma.f64 (neg.f64 x) (neg.f64 x) (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 (neg.f64 x) (*.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 x #s(literal -2 binary64)) (neg.f64 x) #s(literal -1 binary64))
(fma.f64 (+.f64 x x) (/.f64 x #s(literal 2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 (+.f64 x x) x #s(literal -1 binary64))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal -1 binary64))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)) (*.f64 x x))
(fma.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)) (*.f64 x x))
(fma.f64 (/.f64 x #s(literal 2 binary64)) (+.f64 x x) (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal -1 binary64))
(fma.f64 x (+.f64 x x) #s(literal -1 binary64))
(fma.f64 x x (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 (+.f64 x x) x) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 (+.f64 x x) x) #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 (*.f64 (+.f64 x x) x) #s(literal 1/2 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64))))
(fma.f64 (neg.f64 (*.f64 x x)) #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 (neg.f64 (*.f64 x x)) #s(literal -1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64))))
(fma.f64 (neg.f64 (*.f64 x x)) #s(literal -2 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 (fabs.f64 x) #s(literal -1 binary64)) (*.f64 (fabs.f64 x) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 (*.f64 (fabs.f64 x) #s(literal -1 binary64)) (*.f64 (fabs.f64 x) #s(literal -1 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64))))
(fma.f64 (*.f64 (fabs.f64 x) #s(literal -2 binary64)) (neg.f64 (fabs.f64 x)) #s(literal -1 binary64))
(fma.f64 (fabs.f64 (+.f64 x x)) (fabs.f64 x) #s(literal -1 binary64))
(fma.f64 (fabs.f64 (+.f64 x x)) (/.f64 (fabs.f64 x) #s(literal 2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 (fabs.f64 (+.f64 x x)) (/.f64 (fabs.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64))))
(fma.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1 binary64) (fabs.f64 x)) (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1 binary64) (fabs.f64 x)) (+.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64))))
(fma.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (-.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 x x))
(fma.f64 (+.f64 (fabs.f64 x) #s(literal -1 binary64)) (-.f64 (fabs.f64 x) #s(literal -1 binary64)) (*.f64 x x))
(fma.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64)) (*.f64 x #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64)) (*.f64 x #s(literal -2 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64))))
(fma.f64 (/.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64) (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 (/.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64))))
(fma.f64 (/.f64 (fabs.f64 x) #s(literal 2 binary64)) (fabs.f64 (+.f64 x x)) (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 (/.f64 (fabs.f64 x) #s(literal 2 binary64)) (fabs.f64 (+.f64 x x)) (+.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64))))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 (neg.f64 (fabs.f64 x)) (*.f64 (fabs.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (+.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64))))
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 x #s(literal -2 binary64)) x) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x x) x) #s(literal -1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x x) x) (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x x) x) (+.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x x)) (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x x)) (+.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64))))
(fma.f64 #s(literal -2 binary64) (neg.f64 (*.f64 x x)) #s(literal -1 binary64))
(fma.f64 (fabs.f64 x) (fabs.f64 (+.f64 x x)) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x x) x #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 x x))
(fma.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal -1 binary64)) (*.f64 x x))
(fma.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 (neg.f64 x) #s(literal 2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 (neg.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64))))
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 x x) #s(literal 2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 x x) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64))))
(fma.f64 #s(literal -1/2 binary64) #s(literal 2 binary64) (*.f64 (+.f64 x x) x))
(fma.f64 #s(literal -1 binary64) #s(literal 1 binary64) (*.f64 (+.f64 x x) x))
(fma.f64 #s(literal 2 binary64) #s(literal -1/2 binary64) (*.f64 (+.f64 x x) x))
(fma.f64 (/.f64 #s(literal -2 binary64) #s(literal 8 binary64)) #s(literal 4 binary64) (*.f64 (+.f64 x x) x))
(fma.f64 #s(literal 1 binary64) #s(literal -1 binary64) (*.f64 (+.f64 x x) x))
(fma.f64 #s(literal 1/2 binary64) #s(literal -2 binary64) (*.f64 (+.f64 x x) x))
(fma.f64 #s(literal -2 binary64) #s(literal 1/2 binary64) (*.f64 (+.f64 x x) x))
(fma.f64 (neg.f64 x) (neg.f64 x) (+.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64))))
(fma.f64 (+.f64 x x) (/.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64))))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (+.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (+.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64))))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64))))
(fma.f64 (/.f64 x #s(literal 2 binary64)) (+.f64 x x) (+.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64))))
(fma.f64 x x (+.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64))))
(fma.f64 (*.f64 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64)) (*.f64 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 (*.f64 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64)) (*.f64 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64))))
(fma.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 x))) (*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 x))) (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 x))) (*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 x))) (+.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64))))
(fma.f64 (+.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (-.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (*.f64 x x))
(fma.f64 (+.f64 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64)) (-.f64 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64)) (*.f64 x x))
(fma.f64 (/.f64 (*.f64 (+.f64 x x) x) #s(literal 4 binary64)) #s(literal 2 binary64) (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 (/.f64 (*.f64 (+.f64 x x) x) #s(literal 4 binary64)) #s(literal 2 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64))))
(fma.f64 (/.f64 (*.f64 (+.f64 x x) x) #s(literal 8 binary64)) #s(literal 4 binary64) (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 (/.f64 (*.f64 (+.f64 x x) x) #s(literal 8 binary64)) #s(literal 4 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64))))
(fma.f64 (/.f64 (*.f64 (fabs.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 (/.f64 (*.f64 (fabs.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64))))
(fma.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -2 binary64)) #s(literal 8 binary64)) #s(literal 4 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64)) (/.f64 (*.f64 (fabs.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 (/.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64)) (/.f64 (*.f64 (fabs.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64))))
(fma.f64 (*.f64 (fabs.f64 x) #s(literal -2 binary64)) (/.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 (*.f64 (fabs.f64 x) #s(literal -2 binary64)) (/.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64))))
(fma.f64 #s(literal -1/2 binary64) #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x #s(literal -2 binary64)) x)))
(fma.f64 #s(literal -1 binary64) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x #s(literal -2 binary64)) x)))
(fma.f64 #s(literal 2 binary64) #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x #s(literal -2 binary64)) x)))
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(fma.f64 #s(literal 2 binary64) #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 0 binary64) #s(literal 1/2 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 -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 0 binary64) #s(literal 4 binary64) #s(literal 1 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 4 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 -1 binary64) #s(literal 0 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 0 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 3 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 0 binary64) #s(literal 3/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 0 binary64) #s(literal 5/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 0 binary64) #s(literal -3/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 4 binary64) #s(literal 1/4 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 0 binary64) #s(literal 1/4 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 0 binary64) #s(literal -1/4 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 0 binary64) x #s(literal 1 binary64))
(fma.f64 (+.f64 x x) #s(literal 0 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal 0 binary64) #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 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 0 binary64) (+.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(fma.f64 (*.f64 (+.f64 x x) x) #s(literal 0 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 (neg.f64 x) #s(literal 0 binary64)) (*.f64 (neg.f64 x) #s(literal 0 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (fabs.f64 x) #s(literal 0 binary64)) (*.f64 (fabs.f64 x) #s(literal 0 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 #s(literal 0 binary64) (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 0 binary64) (fabs.f64 x)) (*.f64 #s(literal 0 binary64) (fabs.f64 x)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 0 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal 1 binary64))
(fma.f64 #s(literal 0 binary64) (*.f64 (+.f64 x x) x) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 0 binary64)) #s(literal 1 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 0 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(fma.f64 (*.f64 (neg.f64 (fabs.f64 x)) #s(literal 0 binary64)) (*.f64 (neg.f64 (fabs.f64 x)) #s(literal 0 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (fabs.f64 x))) (*.f64 #s(literal 0 binary64) (neg.f64 (fabs.f64 x))) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (fabs.f64 x)) (*.f64 (neg.f64 (fabs.f64 x)) #s(literal 0 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))
(hypot.f64 (*.f64 (neg.f64 x) #s(literal 0 binary64)) #s(literal 1 binary64))
(hypot.f64 (*.f64 (neg.f64 x) #s(literal 0 binary64)) #s(literal -1 binary64))
(hypot.f64 (*.f64 (fabs.f64 x) #s(literal 0 binary64)) #s(literal 1 binary64))
(hypot.f64 (*.f64 (fabs.f64 x) #s(literal 0 binary64)) #s(literal -1 binary64))
(hypot.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) #s(literal 1 binary64))
(hypot.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) #s(literal -1 binary64))
(hypot.f64 (*.f64 #s(literal 0 binary64) (fabs.f64 x)) #s(literal 1 binary64))
(hypot.f64 (*.f64 #s(literal 0 binary64) (fabs.f64 x)) #s(literal -1 binary64))
(hypot.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 0 binary64)))
(hypot.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) #s(literal 0 binary64)))
(hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (neg.f64 x)))
(hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (fabs.f64 x)))
(hypot.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(literal 0 binary64)))
(hypot.f64 #s(literal -1 binary64) (*.f64 (fabs.f64 x) #s(literal 0 binary64)))
(hypot.f64 #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) (neg.f64 x)))
(hypot.f64 #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) (fabs.f64 x)))
(hypot.f64 (*.f64 (neg.f64 (fabs.f64 x)) #s(literal 0 binary64)) #s(literal 1 binary64))
(hypot.f64 (*.f64 (neg.f64 (fabs.f64 x)) #s(literal 0 binary64)) #s(literal -1 binary64))
(hypot.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (fabs.f64 x))) #s(literal 1 binary64))
(hypot.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (fabs.f64 x))) #s(literal -1 binary64))
(hypot.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fabs.f64 x)) #s(literal 0 binary64)))
(hypot.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (fabs.f64 x)) #s(literal 0 binary64)))
(hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (neg.f64 (fabs.f64 x))))
(hypot.f64 #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) (neg.f64 (fabs.f64 x))))
(neg.f64 #s(literal -1 binary64))
(pow.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))
(pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64))
(pow.f64 #s(literal 1 binary64) #s(literal -2 binary64))
(pow.f64 #s(literal 1 binary64) #s(literal 4 binary64))
(pow.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(pow.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(pow.f64 #s(literal -1 binary64) #s(literal 2 binary64))
(pow.f64 #s(literal 1 binary64) #s(literal 0 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) #s(literal 0 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(sin.f64 (acos.f64 #s(literal 0 binary64)))
(sqrt.f64 #s(literal 1 binary64))

eval191.0ms (8.7%)

Memory
11.2MiB live, 103.1MiB allocated; 11ms collecting garbage
Compiler

Compiled 10 502 to 2 300 computations (78.1% saved)

prune20.0ms (0.9%)

Memory
-31.7MiB live, 20.2MiB allocated; 11ms collecting garbage
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New8782880
Fresh000
Picked101
Done000
Total8792881
Accuracy
100.0%
Counts
881 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (+.f64 x x) x #s(literal -1 binary64))
45.5%
#s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64))
Compiler

Compiled 15 to 12 computations (20% saved)

series178.0ms (8.1%)

Memory
9.6MiB live, 56.4MiB allocated; 5ms collecting garbage
Counts
5 → 6
Calls
Call 1
Inputs
#s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64))
#s(literal -1 binary64)
(fma.f64 (+.f64 x x) x #s(literal -1 binary64))
(+.f64 x x)
x
Outputs
#s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64))
#s(approx (- (* (* x x) 2) 1) (-.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
#s(approx (+ x x) (*.f64 #s(literal 2 binary64) x))
#s(approx x x)
#s(approx (- (* (* x x) 2) 1) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- (* (* x x) 2) 1) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
Calls

3 calls:

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

rewrite212.0ms (9.6%)

Memory
5.1MiB live, 51.5MiB allocated; 7ms collecting garbage
Counts
5 → 12
Calls
Call 1
Inputs
#s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64))
#s(literal -1 binary64)
(fma.f64 (+.f64 x x) x #s(literal -1 binary64))
(+.f64 x x)
x
Outputs
#s(approx (+ (* x (* x 2)) -1) #s(literal -1 binary64))
#s(literal -1 binary64)
(neg.f64 #s(literal 1 binary64))
(+.f64 (*.f64 (+.f64 x x) x) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 (+.f64 x x) x))
(-.f64 (*.f64 (+.f64 x x) x) #s(literal 1 binary64))
(fma.f64 (+.f64 x x) x #s(literal -1 binary64))
(fma.f64 x (+.f64 x x) #s(literal -1 binary64))
(*.f64 #s(literal 2 binary64) x)
(+.f64 x x)
(-.f64 x (neg.f64 x))
x

eval4.0ms (0.2%)

Memory
3.0MiB live, 3.0MiB allocated; 0ms collecting garbage
Compiler

Compiled 135 to 43 computations (68.1% saved)

prune2.0ms (0.1%)

Memory
2.3MiB live, 2.3MiB allocated; 0ms collecting garbage
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New14014
Fresh000
Picked022
Done000
Total14216
Accuracy
100.0%
Counts
16 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (+.f64 x x) x #s(literal -1 binary64))
45.5%
#s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64))
Compiler

Compiled 15 to 12 computations (20% saved)

regimes21.0ms (1%)

Memory
20.0MiB live, 20.0MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
3 → 1
Calls
Call 1
Inputs
#s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64))
Outputs
#s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64))
Call 2
Inputs
#s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64))
(fma.f64 (+.f64 x x) x #s(literal -1 binary64))
(-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))
Outputs
(fma.f64 (+.f64 x x) x #s(literal -1 binary64))
Calls

8 calls:

3.0ms
x
3.0ms
(*.f64 (*.f64 x x) #s(literal 2 binary64))
3.0ms
(*.f64 x x)
2.0ms
(-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))
2.0ms
x
Results
AccuracySegmentsBranch
45.5%1(*.f64 x x)
45.5%1(*.f64 (*.f64 x x) #s(literal 2 binary64))
45.5%1(-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))
45.5%1x
100.0%1(*.f64 x x)
100.0%1(*.f64 (*.f64 x x) #s(literal 2 binary64))
100.0%1(-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))
100.0%1x
Compiler

Compiled 54 to 41 computations (24.1% saved)

derivations1.0ms (0%)

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

Compiled 15 to 10 computations (33.3% saved)

preprocess81.0ms (3.7%)

Memory
-20.7MiB live, 25.3MiB allocated; 3ms collecting garbage
Remove

(abs x)

Compiler

Compiled 52 to 40 computations (23.1% saved)

end0.0ms (0%)

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

Profiling

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