sqrt A (should all be same)

Time bar (total: 57.5s)

start0.0ms (0.0%)

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

analyze0.0ms (0.0%)

Memory
0.3MiB live, 0.4MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0.0%0.0%100.0%0.0%0.0%0.0%0.0%0
100.0%100.0%0.0%0.0%0.0%0.0%0.0%1
Compiler

Compiled 10 to 4 computations (60.0% saved)

sample611.0ms (1.1%)

Memory
49.0MiB live, 677.9MiB allocated; 171ms collecting garbage
Samples
415.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 224.0ms
ival-hypot: 213.0ms (94.9% of total)
adjust: 11.0ms (4.9% of total)
Bogosity

preprocess51.0ms (0.1%)

Memory
-42.2MiB live, 50.6MiB allocated; 15ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0919
13819
211719
320919
460119
5325019
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.5%
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x)))
Symmetry

(abs x)

Compiler

Compiled 16 to 8 computations (50.0% saved)

series12.0ms (0.0%)

Memory
18.5MiB live, 18.5MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01651
Stop Event
iter-limit
Counts
4 → 5
Calls
Call 1
Inputs
x
(*.f64 x x)
(+.f64 (*.f64 x x) (*.f64 x x))
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x)))
Outputs
#s(approx x x)
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx (+ (* x x) (* x x)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (sqrt (+ (* x x) (* x x))) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (+ (* x x) (* x x))) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
Calls

3 calls:

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

rewrite379.0ms (0.7%)

Memory
48.6MiB live, 507.7MiB allocated; 51ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0419
0715
13615
215215
341915
4111015
0405314
Stop Event
iter-limit
node-limit
iter-limit
Counts
4 → 1 095
Calls
Call 1
Inputs
x
(*.f64 x x)
(+.f64 (*.f64 x x) (*.f64 x x))
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x)))
Outputs
x
(*.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (/.f64 (neg.f64 (fabs.f64 (+.f64 x x))) #s(literal 1/2 binary64)) (/.f64 (neg.f64 (fabs.f64 x)) #s(literal 4 binary64)))
(*.f64 (/.f64 (neg.f64 (fabs.f64 x)) #s(literal 4 binary64)) (/.f64 (neg.f64 (fabs.f64 (+.f64 x x))) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (neg.f64 (fabs.f64 (+.f64 x x))) #s(literal 2 binary64)) (/.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)))
(*.f64 (/.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (/.f64 (neg.f64 (fabs.f64 (+.f64 x x))) #s(literal 2 binary64)))
(*.f64 (/.f64 (neg.f64 (fabs.f64 (+.f64 x x))) #s(literal 4 binary64)) (/.f64 (neg.f64 (fabs.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (neg.f64 (fabs.f64 x)) #s(literal 1/2 binary64)) (/.f64 (neg.f64 (fabs.f64 (+.f64 x x))) #s(literal 4 binary64)))
(*.f64 (/.f64 (neg.f64 (fabs.f64 (+.f64 x x))) #s(literal 1 binary64)) (/.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64)))
(*.f64 (/.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64)) (/.f64 (neg.f64 (fabs.f64 (+.f64 x x))) #s(literal 1 binary64)))
(*.f64 (/.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x))) #s(literal 4 binary64)) (/.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x))) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x))) #s(literal 1/2 binary64)) (/.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x))) #s(literal 4 binary64)))
(*.f64 (/.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x))) #s(literal 1 binary64)) (/.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x))) #s(literal 2 binary64)))
(*.f64 (/.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x))) #s(literal 2 binary64)) (/.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x))) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (neg.f64 x) x) #s(literal 4 binary64)) #s(literal -4 binary64))
(*.f64 (/.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (/.f64 (*.f64 (neg.f64 x) x) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))
(*.f64 (/.f64 (*.f64 (neg.f64 x) x) #s(literal 2 binary64)) #s(literal -2 binary64))
(*.f64 (/.f64 (fabs.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (/.f64 (fabs.f64 x) #s(literal 4 binary64)))
(*.f64 (/.f64 (fabs.f64 x) #s(literal 4 binary64)) (/.f64 (fabs.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (fabs.f64 (+.f64 x x)) #s(literal 2 binary64)) (/.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 (fabs.f64 x) #s(literal 1 binary64)) (/.f64 (fabs.f64 (+.f64 x x)) #s(literal 2 binary64)))
(*.f64 (/.f64 (fabs.f64 (+.f64 x x)) #s(literal 4 binary64)) (/.f64 (fabs.f64 x) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (/.f64 (fabs.f64 (+.f64 x x)) #s(literal 4 binary64)))
(*.f64 (/.f64 (fabs.f64 (+.f64 x x)) #s(literal 1 binary64)) (/.f64 (fabs.f64 x) #s(literal 2 binary64)))
(*.f64 (/.f64 (fabs.f64 x) #s(literal 2 binary64)) (/.f64 (fabs.f64 (+.f64 x x)) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1/2 binary64)) (/.f64 (neg.f64 x) #s(literal 4 binary64)))
(*.f64 (/.f64 (neg.f64 x) #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)) (/.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)))
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 4 binary64)) (/.f64 (neg.f64 x) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (neg.f64 x) #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 4 binary64)))
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) (/.f64 (neg.f64 x) #s(literal 2 binary64)))
(*.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x)) #s(literal 4 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x)) #s(literal 1/2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x)) #s(literal 4 binary64)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x)) #s(literal 1 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x)) #s(literal 2 binary64)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x)) #s(literal 2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x)) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (+.f64 x x) x) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 (/.f64 (*.f64 (+.f64 x x) x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))
(*.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 4 binary64))
(*.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(*.f64 (/.f64 (+.f64 x x) #s(literal 1/2 binary64)) (/.f64 x #s(literal 4 binary64)))
(*.f64 (/.f64 x #s(literal 4 binary64)) (/.f64 (+.f64 x x) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64)) (/.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 x x) #s(literal 2 binary64)))
(*.f64 (/.f64 (+.f64 x x) #s(literal 4 binary64)) (/.f64 x #s(literal 1/2 binary64)))
(*.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 (+.f64 x x) #s(literal 4 binary64)))
(*.f64 (/.f64 (+.f64 x x) #s(literal 1 binary64)) (/.f64 x #s(literal 2 binary64)))
(*.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 x x) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal -4 binary64) (/.f64 (*.f64 (neg.f64 x) x) #s(literal 4 binary64)))
(*.f64 (neg.f64 (*.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64))) (neg.f64 (*.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64))))
(*.f64 (neg.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64))) (neg.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64))))
(*.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (neg.f64 (*.f64 x #s(literal 1 binary64))))
(*.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x)))) (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x)))))
(*.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x))) (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x))))
(*.f64 (neg.f64 (*.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (*.f64 (neg.f64 x) (neg.f64 (fabs.f64 x)))) (sqrt.f64 (*.f64 (neg.f64 x) (neg.f64 (fabs.f64 x)))))
(*.f64 (sqrt.f64 (*.f64 x (neg.f64 (fabs.f64 x)))) (sqrt.f64 (*.f64 x (neg.f64 (fabs.f64 x)))))
(*.f64 (sqrt.f64 (*.f64 (neg.f64 x) (fabs.f64 x))) (sqrt.f64 (*.f64 (neg.f64 x) (fabs.f64 x))))
(*.f64 (sqrt.f64 (*.f64 x (fabs.f64 x))) (sqrt.f64 (*.f64 x (fabs.f64 x))))
(*.f64 (sqrt.f64 (*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x))) (sqrt.f64 (*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x))))
(*.f64 (sqrt.f64 (*.f64 (fabs.f64 x) (neg.f64 x))) (sqrt.f64 (*.f64 (fabs.f64 x) (neg.f64 x))))
(*.f64 (sqrt.f64 (*.f64 (neg.f64 (fabs.f64 x)) x)) (sqrt.f64 (*.f64 (neg.f64 (fabs.f64 x)) x)))
(*.f64 (sqrt.f64 (*.f64 (fabs.f64 x) x)) (sqrt.f64 (*.f64 (fabs.f64 x) x)))
(*.f64 (sqrt.f64 (*.f64 (neg.f64 (fabs.f64 x)) (*.f64 x x))) (sqrt.f64 (neg.f64 (fabs.f64 x))))
(*.f64 (sqrt.f64 (*.f64 (neg.f64 x) x)) (sqrt.f64 (*.f64 (neg.f64 x) x)))
(*.f64 (sqrt.f64 (*.f64 (fabs.f64 x) (*.f64 x x))) (sqrt.f64 (fabs.f64 x)))
(*.f64 (sqrt.f64 (*.f64 (neg.f64 x) (*.f64 x x))) (sqrt.f64 (neg.f64 x)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) (sqrt.f64 x))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 3/2 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (neg.f64 x) (neg.f64 (fabs.f64 x))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 x) (neg.f64 (fabs.f64 x))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 x (neg.f64 (fabs.f64 x))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x (neg.f64 (fabs.f64 x))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (neg.f64 x) (fabs.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 x) (fabs.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 x (fabs.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x (fabs.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (fabs.f64 x) (neg.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (fabs.f64 x) (neg.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (neg.f64 (fabs.f64 x)) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 (fabs.f64 x)) x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (fabs.f64 x) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (fabs.f64 x) x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (neg.f64 (fabs.f64 x)) (*.f64 x x)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (fabs.f64 x) (*.f64 x x)) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (neg.f64 x) (*.f64 x x)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x))) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x))
(*.f64 (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 2 binary64))
(*.f64 (*.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (*.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)))
(*.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x))) (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x))))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 #s(literal 1 binary64) x) x)
(*.f64 (pow.f64 (neg.f64 (fabs.f64 x)) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 (fabs.f64 x)) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (neg.f64 x) x) #s(literal 1/2 binary64)))
(*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (neg.f64 x) x) #s(literal 2 binary64)))
(*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (+.f64 x x) x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 x x) #s(literal 0 binary64)) (*.f64 x x))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 (fabs.f64 x)) (*.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (pow.f64 (*.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (neg.f64 (fabs.f64 x)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(*.f64 #s(literal 4 binary64) (/.f64 (*.f64 x x) #s(literal 4 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (fabs.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (neg.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (neg.f64 (fabs.f64 x))) (sqrt.f64 (*.f64 (neg.f64 (fabs.f64 x)) (*.f64 x x))))
(*.f64 (sqrt.f64 (fabs.f64 x)) (sqrt.f64 (*.f64 (fabs.f64 x) (*.f64 x x))))
(*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (*.f64 (neg.f64 x) (*.f64 x x))))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1 binary64)))
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(4-sqrtz0z0z1z24 (neg.f64 x) #s(literal -1 binary64) (/.f64 (*.f64 x x) #s(literal 4 binary64)))
(4-sqrtz0z0z1z24 x #s(literal -1 binary64) (/.f64 (*.f64 x x) #s(literal 4 binary64)))
(neg.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x))))
(sqrt.f64 (*.f64 (+.f64 x x) x))
(fabs.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x))))
(fabs.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 x x) x)) #s(literal 1/2 binary64)))

eval11.0s (19.0%)

Memory
374.2MiB live, 12 125.8MiB allocated; 4.8s collecting garbage
Samples
7.9s119 458×0valid
1.1s18 270×0invalid
Compiler

Compiled 18 386 to 2 929 computations (84.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.7s
ival-mult!: 2.1s (74.9% of total)
ival-sub!: 460.0ms (16.7% of total)
adjust: 191.0ms (6.9% of total)
ival-sqrt: 39.0ms (1.4% of total)

prune55.0ms (0.1%)

Memory
33.1MiB live, 79.8MiB allocated; 4ms collecting garbage
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1 08981 097
Fresh000
Picked101
Done000
Total1 09081 098
Accuracy
99.9%
Counts
1 098 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
58.6%
(4-sqrtz0z0z1z24 x #s(literal -1 binary64) (/.f64 (*.f64 x x) #s(literal 4 binary64)))
19.9%
(pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) #s(literal 1/8 binary64))
99.5%
(*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x))
98.9%
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x))))
0.0%
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (sqrt.f64 (neg.f64 x)))
99.3%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x))
57.5%
(sqrt.f64 (*.f64 (+.f64 x x) x))
99.3%
#s(approx (sqrt (+ (* x x) (* x x))) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
Samples
21.0ms386×0valid
7.0ms126×0invalid
Compiler

Compiled 162 to 102 computations (37.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult!: 7.0ms (54.0% of total)
ival-sqrt: 4.0ms (30.9% of total)
ival-sub!: 2.0ms (15.4% of total)
adjust: 1.0ms (7.7% of total)

series60.0ms (0.1%)

Memory
-12.0MiB live, 78.4MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088317
Stop Event
iter-limit
Counts
22 → 22
Calls
Call 1
Inputs
x
(+.f64 x x)
(sqrt.f64 (+.f64 x x))
(sqrt.f64 x)
(*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x))
#s(literal 2 binary64)
(sqrt.f64 #s(literal 2 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
#s(approx (sqrt (+ (* x x) (* x x))) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (+.f64 x x) x)
(sqrt.f64 (*.f64 (+.f64 x x) x))
#s(literal -1 binary64)
(*.f64 x x)
#s(literal 4 binary64)
(/.f64 (*.f64 x x) #s(literal 4 binary64))
(4-sqrtz0z0z1z24 x #s(literal -1 binary64) (/.f64 (*.f64 x x) #s(literal 4 binary64)))
(*.f64 (*.f64 x x) x)
(*.f64 (*.f64 (*.f64 x x) x) x)
(*.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))
(*.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))
#s(literal 1/8 binary64)
(pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) #s(literal 1/8 binary64))
Outputs
#s(approx x x)
#s(approx (+ x x) (*.f64 #s(literal 2 binary64) x))
#s(approx (sqrt (+ x x)) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)))
#s(approx (sqrt x) (sqrt.f64 x))
#s(approx (* (sqrt (+ x x)) (sqrt x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) x))))
#s(approx (* x (sqrt 2)) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (+ x x) x) (*.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) 4) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* (* x x) x) (pow.f64 x #s(literal 3 binary64)))
#s(approx (* (* (* x x) x) x) (pow.f64 x #s(literal 4 binary64)))
#s(approx (* 4 (* (* (* x x) x) x)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (* 4 (* (* (* x x) x) x)) (* 4 (* (* (* x x) x) x))) (*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64))))
#s(approx (pow (* (* 4 (* (* (* x x) x) x)) (* 4 (* (* (* x x) x) x))) 1/8) (exp.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 (log.f64 #s(literal 16 binary64)) (*.f64 #s(literal 8 binary64) (log.f64 x))))))
#s(approx (sqrt (+ x x)) (*.f64 x (sqrt.f64 (/.f64 #s(literal 2 binary64) x))))
#s(approx (sqrt x) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (* (sqrt (+ x x)) (sqrt x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 2 binary64) x)))))
#s(approx (pow (* (* 4 (* (* (* x x) x) x)) (* 4 (* (* (* x x) x) x))) 1/8) (exp.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 (log.f64 #s(literal 16 binary64)) (*.f64 #s(literal -8 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))))
#s(approx (sqrt (+ x x)) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 2 binary64) x)))))
#s(approx (sqrt x) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (sqrt (+ (* x x) (* x x))) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (pow (* (* 4 (* (* (* x x) x) x)) (* 4 (* (* (* x x) x) x))) 1/8) (exp.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 (log.f64 #s(literal 16 binary64)) (*.f64 #s(literal -8 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))))
Calls

3 calls:

TimeVariablePoint
29.0ms
x
0
14.0ms
x
inf
11.0ms
x
-inf

rewrite268.0ms (0.5%)

Memory
-2.7MiB live, 468.5MiB allocated; 52ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
025128
04597
116689
264685
3368885
0486785
Stop Event
iter-limit
node-limit
iter-limit
Counts
22 → 2 443
Calls
Call 1
Inputs
x
(+.f64 x x)
(sqrt.f64 (+.f64 x x))
(sqrt.f64 x)
(*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x))
#s(literal 2 binary64)
(sqrt.f64 #s(literal 2 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
#s(approx (sqrt (+ (* x x) (* x x))) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (+.f64 x x) x)
(sqrt.f64 (*.f64 (+.f64 x x) x))
#s(literal -1 binary64)
(*.f64 x x)
#s(literal 4 binary64)
(/.f64 (*.f64 x x) #s(literal 4 binary64))
(4-sqrtz0z0z1z24 x #s(literal -1 binary64) (/.f64 (*.f64 x x) #s(literal 4 binary64)))
(*.f64 (*.f64 x x) x)
(*.f64 (*.f64 (*.f64 x x) x) x)
(*.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))
(*.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))
#s(literal 1/8 binary64)
(pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) #s(literal 1/8 binary64))
Outputs
x
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 x) #s(literal 4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (+.f64 x x))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (+.f64 x x))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x x)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (+.f64 x x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (neg.f64 x) #s(literal 4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (+.f64 x x))
(*.f64 (pow.f64 (-.f64 (neg.f64 x) x) #s(literal 1/2 binary64)) (pow.f64 (-.f64 (neg.f64 x) x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 x) #s(literal 4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) x)) x)
(*.f64 (neg.f64 (sqrt.f64 (+.f64 x x))) (neg.f64 (sqrt.f64 (+.f64 x x))))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 x x) #s(literal 1/2 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 (+.f64 x x) x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x x)) x)
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 (sqrt.f64 (*.f64 (+.f64 x x) x)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 (+.f64 x x)))
(*.f64 (+.f64 x x) (pow.f64 #s(literal 1 binary64) #s(literal 1 binary64)))
(*.f64 (+.f64 x x) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(*.f64 (+.f64 x x) #s(literal 1 binary64))
(*.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (+.f64 x x)) #s(literal 2 binary64))
(pow.f64 (+.f64 x x) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (neg.f64 x) x) x)) (+.f64 (*.f64 x x) (+.f64 (*.f64 x x) (*.f64 (neg.f64 x) x))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (+.f64 x (neg.f64 x)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (-.f64 x x))
(/.f64 (+.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (+.f64 (*.f64 x x) (-.f64 (*.f64 x x) (*.f64 x x))))
(neg.f64 (*.f64 #s(literal -2 binary64) x))
(neg.f64 (*.f64 x #s(literal -2 binary64)))
(neg.f64 (-.f64 (neg.f64 x) x))
(-.f64 x (neg.f64 x))
(sqrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 x x))) (sqrt.f64 (+.f64 x x))))
(fabs.f64 (*.f64 (sqrt.f64 (+.f64 x x)) (neg.f64 (sqrt.f64 (+.f64 x x)))))
(fabs.f64 (+.f64 x x))
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)))
(+.f64 x x)
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (+.f64 x x))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (+.f64 x x))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x x))) (sqrt.f64 (sqrt.f64 (+.f64 x x))))
(*.f64 (pow.f64 (+.f64 x x) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (+.f64 x x) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (+.f64 x x)) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(pow.f64 (+.f64 x x) #s(literal 1/2 binary64))
(sqrt.f64 (+.f64 x x))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 (+.f64 x x)))))
(fabs.f64 (neg.f64 (sqrt.f64 (+.f64 x x))))
(fabs.f64 (sqrt.f64 (+.f64 x x)))
(exp.f64 (*.f64 (log.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 x (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 x))))
(fabs.f64 (neg.f64 (sqrt.f64 x)))
(fabs.f64 (sqrt.f64 x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (+.f64 x x) x)) (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (+.f64 x x) x)) (sqrt.f64 (+.f64 x x))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 x x) x))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 x x) x))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 x x) x)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (*.f64 (+.f64 x x) x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (+.f64 x x) x))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 (*.f64 (+.f64 x x) x))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (+.f64 x x) x))) (sqrt.f64 (sqrt.f64 (*.f64 (+.f64 x x) x))))
(*.f64 (sqrt.f64 (-.f64 (neg.f64 x) x)) (sqrt.f64 (neg.f64 x)))
(*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (-.f64 (neg.f64 x) x)))
(*.f64 (pow.f64 (-.f64 (neg.f64 x) x) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)) (pow.f64 (-.f64 (neg.f64 x) x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (+.f64 x x) x) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 (+.f64 x x) x) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (*.f64 x x)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 (*.f64 x x) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 x x)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (*.f64 (+.f64 x x) x)) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 (+.f64 (*.f64 x #s(literal 1 binary64)) x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 (+.f64 x (*.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x)))
(*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x))
(pow.f64 (*.f64 (+.f64 x x) x) #s(literal 1/2 binary64))
(4-sqrtz0z0z1z24 (neg.f64 x) (/.f64 x #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) x) #s(literal 1 binary64)))
(4-sqrtz0z0z1z24 (neg.f64 x) (/.f64 x #s(literal -1 binary64)) (*.f64 #s(literal 1/4 binary64) x))
(4-sqrtz0z0z1z24 (neg.f64 x) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x))
(4-sqrtz0z0z1z24 (neg.f64 x) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(4-sqrtz0z0z1z24 (neg.f64 x) #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))
(4-sqrtz0z0z1z24 (neg.f64 x) (neg.f64 x) (*.f64 (*.f64 #s(literal 1/4 binary64) x) #s(literal 1 binary64)))
(4-sqrtz0z0z1z24 (neg.f64 x) (neg.f64 x) (*.f64 #s(literal 1/4 binary64) x))
(4-sqrtz0z0z1z24 (neg.f64 x) #s(literal -1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))
(4-sqrtz0z0z1z24 x (/.f64 x #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) x) #s(literal 1 binary64)))
(4-sqrtz0z0z1z24 x (/.f64 x #s(literal -1 binary64)) (*.f64 #s(literal 1/4 binary64) x))
(4-sqrtz0z0z1z24 x #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x))
(4-sqrtz0z0z1z24 x #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(4-sqrtz0z0z1z24 x #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))
(4-sqrtz0z0z1z24 x (neg.f64 x) (*.f64 (*.f64 #s(literal 1/4 binary64) x) #s(literal 1 binary64)))
(4-sqrtz0z0z1z24 x (neg.f64 x) (*.f64 #s(literal 1/4 binary64) x))
(4-sqrtz0z0z1z24 x #s(literal -1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))
(sqrt.f64 (*.f64 (+.f64 x x) x))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 x x) x)))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 (+.f64 x x)))))
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(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) x) #s(literal 1/8 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) #s(literal 4 binary64)) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/8 binary64)) (pow.f64 (fabs.f64 (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/8 binary64)) (pow.f64 (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/8 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) (*.f64 (*.f64 x x) x)) #s(literal 1/8 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) (*.f64 (*.f64 x x) x)) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/8 binary64)) (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)) (*.f64 (*.f64 x x) x)) #s(literal 1/8 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (pow.f64 (fabs.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)) (*.f64 (*.f64 x x) x))) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)) (*.f64 (*.f64 x x) x)) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1/8 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1/8 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 4 binary64)) #s(literal 1/8 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 4 binary64)) #s(literal 1/8 binary64)))
(pow.f64 (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)) (*.f64 (*.f64 x x) x)) #s(literal 1/8 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)) (*.f64 (*.f64 x x) x))) #s(literal 1/8 binary64)))

eval39.1s (67.9%)

Memory
-47.4MiB live, 41 501.8MiB allocated; 24.1s collecting garbage
Samples
19.6s322 005×0valid
8.5s105 003×0invalid
Compiler

Compiled 82 882 to 8 022 computations (90.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0s
ival-mult!: 7.6s (76.4% of total)
ival-sub!: 1.4s (13.6% of total)
adjust: 548.0ms (5.5% of total)
ival-sqrt: 446.0ms (4.5% of total)

prune67.0ms (0.1%)

Memory
-10.3MiB live, 93.1MiB allocated; 35ms collecting garbage
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New2 52412 525
Fresh213
Picked505
Done-220
Total2 52942 533
Accuracy
100.0%
Counts
2 533 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(4-sqrtz0z0z1z24 x (neg.f64 x) (*.f64 #s(literal 1/4 binary64) x))
99.3%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x))
57.5%
(sqrt.f64 (*.f64 (+.f64 x x) x))
99.3%
#s(approx (sqrt (+ (* x x) (* x x))) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
Samples
13.0ms256×0valid
Compiler

Compiled 31 to 22 computations (29.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult!: 3.0ms (48.7% of total)
ival-sqrt: 2.0ms (32.5% of total)
ival-sub!: 1.0ms (16.2% of total)
adjust: 0.0ms (0.0% of total)

series13.0ms (0.0%)

Memory
-35.7MiB live, 9.6MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02658
Stop Event
iter-limit
Counts
9 → 7
Calls
Call 1
Inputs
#s(literal 2 binary64)
(sqrt.f64 #s(literal 2 binary64))
x
(fabs.f64 x)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x))
(neg.f64 x)
#s(literal 1/4 binary64)
(*.f64 #s(literal 1/4 binary64) x)
(4-sqrtz0z0z1z24 x (neg.f64 x) (*.f64 #s(literal 1/4 binary64) x))
Outputs
#s(approx x x)
#s(approx (fabs x) (fabs.f64 x))
#s(approx (* (sqrt 2) (fabs x)) (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (neg x) (*.f64 #s(literal -1 binary64) x))
#s(approx (* 1/4 x) (*.f64 #s(literal 1/4 binary64) x))
#s(approx (sqrt (- (* x x) (* (neg x) (* (* 1/4 x) 4)))) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (- (* x x) (* (neg x) (* (* 1/4 x) 4)))) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
Calls

3 calls:

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

rewrite585.0ms (1.0%)

Memory
-10.5MiB live, 633.0MiB allocated; 203ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0924
02022
16622
226522
385822
0452822
Stop Event
iter-limit
node-limit
iter-limit
Counts
9 → 459
Calls
Call 1
Inputs
#s(literal 2 binary64)
(sqrt.f64 #s(literal 2 binary64))
x
(fabs.f64 x)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x))
(neg.f64 x)
#s(literal 1/4 binary64)
(*.f64 #s(literal 1/4 binary64) x)
(4-sqrtz0z0z1z24 x (neg.f64 x) (*.f64 #s(literal 1/4 binary64) x))
Outputs
#s(literal 2 binary64)
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 4 binary64)))
(*.f64 (sqrt.f64 #s(literal 8 binary64)) (sqrt.f64 #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 8 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/2 binary64)) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/2 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (pow.f64 #s(literal 8 binary64) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(cosh.f64 (asinh.f64 #s(literal 1 binary64)))
(sqrt.f64 #s(literal 2 binary64))
(fabs.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(fabs.f64 (sqrt.f64 #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
x
(*.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (/.f64 #s(literal 1/4 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (/.f64 #s(literal 1/4 binary64) #s(literal 2 binary64))))
(*.f64 (fabs.f64 (*.f64 #s(literal -1/4 binary64) x)) #s(literal 4 binary64))
(*.f64 (fabs.f64 (*.f64 #s(literal -4 binary64) x)) #s(literal 1/4 binary64))
(*.f64 (fabs.f64 (*.f64 #s(literal 1/4 binary64) x)) #s(literal 4 binary64))
(*.f64 (fabs.f64 (*.f64 #s(literal 4 binary64) x)) #s(literal 1/4 binary64))
(*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 x x))))
(*.f64 (sqrt.f64 (*.f64 #s(literal -1/4 binary64) x)) (sqrt.f64 (*.f64 #s(literal -4 binary64) x)))
(*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) x)) (sqrt.f64 (*.f64 #s(literal -1/4 binary64) x)))
(*.f64 (sqrt.f64 (*.f64 (neg.f64 x) x)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(*.f64 (sqrt.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) (sqrt.f64 #s(literal -4 binary64)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (sqrt.f64 #s(literal 4 binary64)))
(*.f64 (sqrt.f64 #s(literal 4 binary64)) (sqrt.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) x)) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) x)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 1/4 binary64) x)) (sqrt.f64 (*.f64 #s(literal 4 binary64) x)))
(*.f64 (sqrt.f64 #s(literal 1/4 binary64)) (fabs.f64 (+.f64 x x)))
(*.f64 (pow.f64 (*.f64 (fabs.f64 x) (neg.f64 x)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (fabs.f64 x) (neg.f64 x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (neg.f64 x) (fabs.f64 x)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (neg.f64 x) (fabs.f64 x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 x (fabs.f64 x)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x (fabs.f64 x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (fabs.f64 x) x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (fabs.f64 x) x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (fabs.f64 x) (neg.f64 x)) x) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (*.f64 (fabs.f64 x) (neg.f64 x)) x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 x) x) x) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 x) x) x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (fabs.f64 x) x) x) #s(literal 1/4 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (*.f64 (fabs.f64 x) x) x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 x x) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (*.f64 (*.f64 x x) x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal -4 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal -4 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal -4 binary64) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (pow.f64 #s(literal -4 binary64) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/4 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (fabs.f64 (+.f64 x x)))
(*.f64 (fabs.f64 (+.f64 x x)) (sqrt.f64 #s(literal 1/4 binary64)))
(*.f64 (fabs.f64 (+.f64 x x)) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (neg.f64 (fabs.f64 x))) (sqrt.f64 (neg.f64 (fabs.f64 x))))
(*.f64 (sqrt.f64 #s(literal 1 binary64)) (fabs.f64 x))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (fabs.f64 x))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)))
(*.f64 (sqrt.f64 (fabs.f64 x)) (sqrt.f64 (fabs.f64 x)))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 #s(literal 1 binary64) (fabs.f64 x))
(*.f64 #s(literal 4 binary64) (fabs.f64 (*.f64 #s(literal -1/4 binary64) x)))
(*.f64 #s(literal 4 binary64) (fabs.f64 (*.f64 #s(literal 1/4 binary64) x)))
(*.f64 #s(literal 1/4 binary64) (fabs.f64 (*.f64 #s(literal -4 binary64) x)))
(*.f64 #s(literal 1/4 binary64) (fabs.f64 (*.f64 #s(literal 4 binary64) x)))
(*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(*.f64 (fabs.f64 x) #s(literal 1 binary64))
(pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/8 binary64))
(pow.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/4 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/2 binary64))
(neg.f64 (neg.f64 (fabs.f64 x)))
(sqrt.f64 (*.f64 x x))
(fabs.f64 (neg.f64 (fabs.f64 x)))
(fabs.f64 (neg.f64 x))
(fabs.f64 (fabs.f64 x))
(fabs.f64 x)
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (neg.f64 (fabs.f64 (+.f64 x x)))) (sqrt.f64 (neg.f64 (fabs.f64 x))))
(*.f64 (sqrt.f64 (neg.f64 (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 (neg.f64 (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 (fabs.f64 (+.f64 x x))) (sqrt.f64 (fabs.f64 x)))
(*.f64 (pow.f64 (*.f64 (+.f64 x x) x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (+.f64 x x) x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 (+.f64 x x))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (neg.f64 (fabs.f64 x))) (sqrt.f64 (neg.f64 (fabs.f64 (+.f64 x x)))))
(*.f64 (sqrt.f64 (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (sqrt.f64 (neg.f64 x)))
(*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x))
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(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
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(4-sqrtz0z0z1z24 (neg.f64 x) #s(literal -1 binary64) (fabs.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(4-sqrtz0z0z1z24 (neg.f64 x) #s(literal -1 binary64) (fabs.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64))))
(4-sqrtz0z0z1z24 (neg.f64 x) #s(literal -1 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))
(4-sqrtz0z0z1z24 (neg.f64 x) (neg.f64 (fabs.f64 x)) (fabs.f64 (*.f64 #s(literal -1/4 binary64) x)))
(4-sqrtz0z0z1z24 (neg.f64 x) (neg.f64 (fabs.f64 x)) (fabs.f64 (*.f64 #s(literal 1/4 binary64) x)))
(4-sqrtz0z0z1z24 (neg.f64 x) (*.f64 #s(literal 4 binary64) x) (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/4 binary64) x)))
(4-sqrtz0z0z1z24 (neg.f64 x) #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))
(4-sqrtz0z0z1z24 (neg.f64 x) #s(literal 4 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(4-sqrtz0z0z1z24 (neg.f64 x) #s(literal 4 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) x) (*.f64 #s(literal 1/4 binary64) x)))
(4-sqrtz0z0z1z24 (neg.f64 x) #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) x) (*.f64 #s(literal -1/4 binary64) x)))
(4-sqrtz0z0z1z24 (neg.f64 x) (*.f64 #s(literal 1/4 binary64) x) (neg.f64 x))
(4-sqrtz0z0z1z24 (neg.f64 x) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x))
(4-sqrtz0z0z1z24 (neg.f64 x) x (*.f64 #s(literal -1/4 binary64) x))
(4-sqrtz0z0z1z24 (fabs.f64 x) (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x))) (fabs.f64 (*.f64 #s(literal -1/4 binary64) x)))
(4-sqrtz0z0z1z24 (fabs.f64 x) (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x))) (fabs.f64 (*.f64 #s(literal 1/4 binary64) x)))
(4-sqrtz0z0z1z24 (fabs.f64 x) #s(literal -1/4 binary64) (*.f64 x x))
(4-sqrtz0z0z1z24 (fabs.f64 x) (*.f64 #s(literal -1/4 binary64) x) x)
(4-sqrtz0z0z1z24 (fabs.f64 x) (*.f64 #s(literal -4 binary64) x) (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) x)))
(4-sqrtz0z0z1z24 (fabs.f64 x) #s(literal -4 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) x) (*.f64 #s(literal -1/4 binary64) x)))
(4-sqrtz0z0z1z24 (fabs.f64 x) #s(literal -4 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) x) (*.f64 #s(literal 1/4 binary64) x)))
(4-sqrtz0z0z1z24 (fabs.f64 x) #s(literal -1 binary64) (fabs.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(4-sqrtz0z0z1z24 (fabs.f64 x) #s(literal -1 binary64) (fabs.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64))))
(4-sqrtz0z0z1z24 (fabs.f64 x) #s(literal -1 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))
(4-sqrtz0z0z1z24 (fabs.f64 x) (neg.f64 (fabs.f64 x)) (fabs.f64 (*.f64 #s(literal -1/4 binary64) x)))
(4-sqrtz0z0z1z24 (fabs.f64 x) (neg.f64 (fabs.f64 x)) (fabs.f64 (*.f64 #s(literal 1/4 binary64) x)))
(4-sqrtz0z0z1z24 (fabs.f64 x) (*.f64 #s(literal 4 binary64) x) (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/4 binary64) x)))
(4-sqrtz0z0z1z24 (fabs.f64 x) #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))
(4-sqrtz0z0z1z24 (fabs.f64 x) #s(literal 4 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(4-sqrtz0z0z1z24 (fabs.f64 x) #s(literal 4 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) x) (*.f64 #s(literal 1/4 binary64) x)))
(4-sqrtz0z0z1z24 (fabs.f64 x) #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) x) (*.f64 #s(literal -1/4 binary64) x)))
(4-sqrtz0z0z1z24 (fabs.f64 x) (*.f64 #s(literal 1/4 binary64) x) (neg.f64 x))
(4-sqrtz0z0z1z24 (fabs.f64 x) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x))
(4-sqrtz0z0z1z24 (fabs.f64 x) x (*.f64 #s(literal -1/4 binary64) x))
(4-sqrtz0z0z1z24 x (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x))) (fabs.f64 (*.f64 #s(literal -1/4 binary64) x)))
(4-sqrtz0z0z1z24 x (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x))) (fabs.f64 (*.f64 #s(literal 1/4 binary64) x)))
(4-sqrtz0z0z1z24 x #s(literal -1/4 binary64) (*.f64 x x))
(4-sqrtz0z0z1z24 x (*.f64 #s(literal -1/4 binary64) x) x)
(4-sqrtz0z0z1z24 x (*.f64 #s(literal -4 binary64) x) (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) x)))
(4-sqrtz0z0z1z24 x #s(literal -4 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) x) (*.f64 #s(literal -1/4 binary64) x)))
(4-sqrtz0z0z1z24 x #s(literal -4 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) x) (*.f64 #s(literal 1/4 binary64) x)))
(4-sqrtz0z0z1z24 x #s(literal -1 binary64) (fabs.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(4-sqrtz0z0z1z24 x #s(literal -1 binary64) (fabs.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64))))
(4-sqrtz0z0z1z24 x #s(literal -1 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))
(4-sqrtz0z0z1z24 x (neg.f64 (fabs.f64 x)) (fabs.f64 (*.f64 #s(literal -1/4 binary64) x)))
(4-sqrtz0z0z1z24 x (neg.f64 (fabs.f64 x)) (fabs.f64 (*.f64 #s(literal 1/4 binary64) x)))
(4-sqrtz0z0z1z24 x (*.f64 #s(literal 4 binary64) x) (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/4 binary64) x)))
(4-sqrtz0z0z1z24 x #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))
(4-sqrtz0z0z1z24 x #s(literal 4 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(4-sqrtz0z0z1z24 x #s(literal 4 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) x) (*.f64 #s(literal 1/4 binary64) x)))
(4-sqrtz0z0z1z24 x #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) x) (*.f64 #s(literal -1/4 binary64) x)))
(4-sqrtz0z0z1z24 x (*.f64 #s(literal 1/4 binary64) x) (neg.f64 x))
(4-sqrtz0z0z1z24 x #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x))
(4-sqrtz0z0z1z24 x (neg.f64 x) (*.f64 #s(literal 1/4 binary64) x))
(4-sqrtz0z0z1z24 x x (*.f64 #s(literal -1/4 binary64) x))
(neg.f64 (neg.f64 (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64)))))
(sqrt.f64 (*.f64 (+.f64 x x) x))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (fabs.f64 x))))
(fabs.f64 (neg.f64 (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64)))))
(fabs.f64 (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
(fabs.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(fabs.f64 (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 x x) x)) #s(literal 1/2 binary64)))

eval3.0s (5.2%)

Memory
67.7MiB live, 3 259.3MiB allocated; 828ms collecting garbage
Samples
2.1s35 778×0valid
254.0ms4 158×0invalid
Compiler

Compiled 3 242 to 615 computations (81.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-mult!: 598.0ms (52.2% of total)
ival-sqrt: 359.0ms (31.4% of total)
ival-sub!: 138.0ms (12.1% of total)
adjust: 49.0ms (4.3% of total)

prune20.0ms (0.0%)

Memory
31.0MiB live, 31.0MiB allocated; 0ms collecting garbage
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New2991300
Fresh000
Picked202
Done-132
Total3004304
Accuracy
100.0%
Counts
304 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(4-sqrtz0z0z1z24 x (*.f64 #s(literal -1/4 binary64) x) x)
99.3%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x))
57.5%
(sqrt.f64 (*.f64 (+.f64 x x) x))
99.3%
#s(approx (sqrt (+ (* x x) (* x x))) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
Samples
13.0ms256×0valid
Compiler

Compiled 30 to 21 computations (30.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult!: 4.0ms (61.3% of total)
ival-sqrt: 2.0ms (30.7% of total)
ival-sub!: 1.0ms (15.3% of total)
adjust: 0.0ms (0.0% of total)

series5.0ms (0.0%)

Memory
6.9MiB live, 6.9MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01834
Stop Event
iter-limit
Counts
4 → 4
Calls
Call 1
Inputs
x
#s(literal -1/4 binary64)
(*.f64 #s(literal -1/4 binary64) x)
(4-sqrtz0z0z1z24 x (*.f64 #s(literal -1/4 binary64) x) x)
Outputs
#s(approx x x)
#s(approx (* -1/4 x) (*.f64 #s(literal -1/4 binary64) x))
#s(approx (sqrt (- (* x x) (* (* -1/4 x) (* x 4)))) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (- (* x x) (* (* -1/4 x) (* x 4)))) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
Calls

3 calls:

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

rewrite458.0ms (0.8%)

Memory
-27.5MiB live, 546.5MiB allocated; 108ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0411
01111
15111
218311
359611
4138911
0406511
Stop Event
iter-limit
node-limit
iter-limit
Counts
4 → 86
Calls
Call 1
Inputs
x
#s(literal -1/4 binary64)
(*.f64 #s(literal -1/4 binary64) x)
(4-sqrtz0z0z1z24 x (*.f64 #s(literal -1/4 binary64) x) x)
Outputs
x
#s(literal -1/4 binary64)
(*.f64 #s(literal 1/4 binary64) (neg.f64 x))
(*.f64 (neg.f64 x) #s(literal 1/4 binary64))
(*.f64 #s(literal -1/4 binary64) x)
(*.f64 x #s(literal -1/4 binary64))
(neg.f64 (*.f64 #s(literal 1/4 binary64) x))
(*.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x x) x) (*.f64 (+.f64 x x) x)) (/.f64 #s(literal 1/4 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 (*.f64 (+.f64 x x) x) (*.f64 (+.f64 x x) x)) (/.f64 #s(literal 1/4 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x x) x) x) #s(literal 1/4 binary64)) (pow.f64 (+.f64 x x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 x x) x))) (*.f64 (+.f64 x x) x)) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 x x) x))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 x x) x))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 x x) x))) (*.f64 (+.f64 x x) x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (-.f64 (neg.f64 x) x) x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (-.f64 (neg.f64 x) x) x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (+.f64 x x) x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (+.f64 x x) x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x x) x) (sqrt.f64 (*.f64 (+.f64 x x) x))) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (*.f64 (+.f64 x x) x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 x x) x)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (*.f64 (+.f64 x x) x) (sqrt.f64 (*.f64 (+.f64 x x) x))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (+.f64 x x) (+.f64 x x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (*.f64 (+.f64 x x) (*.f64 (+.f64 x x) x)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 x x) x)))) (sqrt.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 x x) x)))))
(*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 x x) x))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 x x) x))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 x x) x)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (*.f64 (+.f64 x x) x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (+.f64 x x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)) (pow.f64 (-.f64 (neg.f64 x) x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 (+.f64 x x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (+.f64 x x) x))) (sqrt.f64 (sqrt.f64 (*.f64 (+.f64 x x) x))))
(*.f64 (sqrt.f64 (fabs.f64 x)) (sqrt.f64 (fabs.f64 (+.f64 x x))))
(*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (-.f64 (neg.f64 x) x)))
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x)))
(*.f64 (pow.f64 (*.f64 (+.f64 x x) x) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 (+.f64 x x) x) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (*.f64 (+.f64 x x) x)) (pow.f64 (*.f64 (+.f64 x x) x) #s(literal 0 binary64)))
(pow.f64 (*.f64 (*.f64 (*.f64 (+.f64 x x) x) (*.f64 (+.f64 x x) x)) (*.f64 (*.f64 (+.f64 x x) x) (*.f64 (+.f64 x x) x))) #s(literal 1/8 binary64))
(pow.f64 (*.f64 (*.f64 (+.f64 x x) x) (*.f64 (+.f64 x x) x)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (+.f64 x x) x) #s(literal 1/2 binary64))
(4-sqrtz0z0z1z24 (neg.f64 (fabs.f64 x)) (*.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1/4 binary64) (fabs.f64 x)))
(4-sqrtz0z0z1z24 (neg.f64 (fabs.f64 x)) (*.f64 #s(literal 4 binary64) (*.f64 (fabs.f64 x) #s(literal -1/4 binary64))) (*.f64 #s(literal 1/4 binary64) (fabs.f64 x)))
(4-sqrtz0z0z1z24 (neg.f64 (fabs.f64 x)) (neg.f64 (*.f64 (fabs.f64 x) #s(literal -1/4 binary64))) (neg.f64 (fabs.f64 x)))
(4-sqrtz0z0z1z24 (neg.f64 (fabs.f64 x)) (*.f64 (fabs.f64 x) #s(literal -1/4 binary64)) (fabs.f64 x))
(4-sqrtz0z0z1z24 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))
(4-sqrtz0z0z1z24 (neg.f64 (fabs.f64 x)) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x))
(4-sqrtz0z0z1z24 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 #s(literal 1/4 binary64) (fabs.f64 x)))
(4-sqrtz0z0z1z24 (neg.f64 (fabs.f64 x)) (*.f64 #s(literal 1/4 binary64) x) (neg.f64 x))
(4-sqrtz0z0z1z24 (neg.f64 (fabs.f64 x)) (*.f64 #s(literal -1/4 binary64) x) x)
(4-sqrtz0z0z1z24 (neg.f64 (fabs.f64 x)) #s(literal -1/4 binary64) (*.f64 x x))
(4-sqrtz0z0z1z24 (neg.f64 (fabs.f64 x)) x (*.f64 #s(literal -1/4 binary64) x))
(4-sqrtz0z0z1z24 (fabs.f64 x) (*.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1/4 binary64) (fabs.f64 x)))
(4-sqrtz0z0z1z24 (fabs.f64 x) (*.f64 #s(literal 4 binary64) (*.f64 (fabs.f64 x) #s(literal -1/4 binary64))) (*.f64 #s(literal 1/4 binary64) (fabs.f64 x)))
(4-sqrtz0z0z1z24 (fabs.f64 x) (neg.f64 (*.f64 (fabs.f64 x) #s(literal -1/4 binary64))) (neg.f64 (fabs.f64 x)))
(4-sqrtz0z0z1z24 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal -1/4 binary64)) (fabs.f64 x))
(4-sqrtz0z0z1z24 (fabs.f64 x) #s(literal -1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))
(4-sqrtz0z0z1z24 (fabs.f64 x) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x))
(4-sqrtz0z0z1z24 (fabs.f64 x) (neg.f64 (fabs.f64 x)) (*.f64 #s(literal 1/4 binary64) (fabs.f64 x)))
(4-sqrtz0z0z1z24 (fabs.f64 x) (*.f64 #s(literal 1/4 binary64) x) (neg.f64 x))
(4-sqrtz0z0z1z24 (fabs.f64 x) (*.f64 #s(literal -1/4 binary64) x) x)
(4-sqrtz0z0z1z24 (fabs.f64 x) #s(literal -1/4 binary64) (*.f64 x x))
(4-sqrtz0z0z1z24 (fabs.f64 x) x (*.f64 #s(literal -1/4 binary64) x))
(4-sqrtz0z0z1z24 (neg.f64 x) (*.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1/4 binary64) (fabs.f64 x)))
(4-sqrtz0z0z1z24 (neg.f64 x) (*.f64 #s(literal 4 binary64) (*.f64 (fabs.f64 x) #s(literal -1/4 binary64))) (*.f64 #s(literal 1/4 binary64) (fabs.f64 x)))
(4-sqrtz0z0z1z24 (neg.f64 x) (neg.f64 (*.f64 (fabs.f64 x) #s(literal -1/4 binary64))) (neg.f64 (fabs.f64 x)))
(4-sqrtz0z0z1z24 (neg.f64 x) (*.f64 (fabs.f64 x) #s(literal -1/4 binary64)) (fabs.f64 x))
(4-sqrtz0z0z1z24 (neg.f64 x) #s(literal -1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))
(4-sqrtz0z0z1z24 (neg.f64 x) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x))
(4-sqrtz0z0z1z24 (neg.f64 x) (neg.f64 (fabs.f64 x)) (*.f64 #s(literal 1/4 binary64) (fabs.f64 x)))
(4-sqrtz0z0z1z24 (neg.f64 x) (*.f64 #s(literal 1/4 binary64) x) (neg.f64 x))
(4-sqrtz0z0z1z24 (neg.f64 x) (*.f64 #s(literal -1/4 binary64) x) x)
(4-sqrtz0z0z1z24 (neg.f64 x) #s(literal -1/4 binary64) (*.f64 x x))
(4-sqrtz0z0z1z24 (neg.f64 x) x (*.f64 #s(literal -1/4 binary64) x))
(4-sqrtz0z0z1z24 x (*.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1/4 binary64) (fabs.f64 x)))
(4-sqrtz0z0z1z24 x (*.f64 #s(literal 4 binary64) (*.f64 (fabs.f64 x) #s(literal -1/4 binary64))) (*.f64 #s(literal 1/4 binary64) (fabs.f64 x)))
(4-sqrtz0z0z1z24 x (neg.f64 (*.f64 (fabs.f64 x) #s(literal -1/4 binary64))) (neg.f64 (fabs.f64 x)))
(4-sqrtz0z0z1z24 x (*.f64 (fabs.f64 x) #s(literal -1/4 binary64)) (fabs.f64 x))
(4-sqrtz0z0z1z24 x #s(literal -1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))
(4-sqrtz0z0z1z24 x #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x))
(4-sqrtz0z0z1z24 x (neg.f64 (fabs.f64 x)) (*.f64 #s(literal 1/4 binary64) (fabs.f64 x)))
(4-sqrtz0z0z1z24 x (*.f64 #s(literal 1/4 binary64) x) (neg.f64 x))
(4-sqrtz0z0z1z24 x (*.f64 #s(literal -1/4 binary64) x) x)
(4-sqrtz0z0z1z24 x #s(literal -1/4 binary64) (*.f64 x x))
(4-sqrtz0z0z1z24 x x (*.f64 #s(literal -1/4 binary64) x))
(/.f64 (pow.f64 (*.f64 (+.f64 x x) x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (+.f64 x x) x) #s(literal -1/4 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (+.f64 x x) x) (*.f64 (+.f64 x x) x)) #s(literal -1/4 binary64)))
(neg.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 x x) x))))
(sqrt.f64 (*.f64 (+.f64 x x) x))
(fabs.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 x x) x))))
(fabs.f64 (sqrt.f64 (*.f64 (+.f64 x x) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (+.f64 x x) x) (*.f64 (+.f64 x x) x))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 x x) x)) #s(literal 1/2 binary64)))

eval895.0ms (1.6%)

Memory
57.2MiB live, 998.6MiB allocated; 205ms collecting garbage
Samples
670.0ms11 532×0valid
38.0ms756×0invalid
Compiler

Compiled 990 to 180 computations (81.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 352.0ms
ival-mult!: 185.0ms (52.6% of total)
ival-sqrt: 111.0ms (31.6% of total)
ival-sub!: 45.0ms (12.8% of total)
adjust: 10.0ms (2.8% of total)

prune32.0ms (0.1%)

Memory
-8.2MiB live, 37.5MiB allocated; 25ms collecting garbage
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New87087
Fresh000
Picked101
Done-143
Total87491
Accuracy
100.0%
Counts
91 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(4-sqrtz0z0z1z24 x (*.f64 #s(literal -1/4 binary64) x) x)
99.3%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x))
57.5%
(sqrt.f64 (*.f64 (+.f64 x x) x))
99.3%
#s(approx (sqrt (+ (* x x) (* x x))) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
Samples
13.0ms256×0valid
Compiler

Compiled 30 to 21 computations (30.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult!: 3.0ms (48.5% of total)
ival-sqrt: 2.0ms (32.4% of total)
ival-sub!: 1.0ms (16.2% of total)
adjust: 0.0ms (0.0% of total)

regimes104.0ms (0.2%)

Memory
-24.7MiB live, 132.2MiB allocated; 75ms collecting garbage
Counts
3 → 1
11 → 1
Calls
Call 1
Inputs
#s(approx (sqrt (+ (* x x) (* x x))) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x))
(sqrt.f64 (*.f64 (+.f64 x x) x))
Outputs
#s(approx (sqrt (+ (* x x) (* x x))) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
Call 2
Inputs
#s(approx (sqrt (+ (* x x) (* x x))) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x))
(sqrt.f64 (*.f64 (+.f64 x x) x))
(4-sqrtz0z0z1z24 x (*.f64 #s(literal -1/4 binary64) x) x)
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x)))
(4-sqrtz0z0z1z24 x (neg.f64 x) (*.f64 #s(literal 1/4 binary64) x))
(*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (sqrt.f64 (neg.f64 x)))
(4-sqrtz0z0z1z24 x #s(literal -1 binary64) (/.f64 (*.f64 x x) #s(literal 4 binary64)))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x))))
(pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) #s(literal 1/8 binary64))
Outputs
(4-sqrtz0z0z1z24 x (*.f64 #s(literal -1/4 binary64) x) x)
Calls

8 calls:

13.0ms
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x)))
3.0ms
x
3.0ms
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x)))
3.0ms
(*.f64 x x)
3.0ms
(+.f64 (*.f64 x x) (*.f64 x x))
Results
AccuracySegmentsBranch
99.3%1(*.f64 x x)
99.3%1(+.f64 (*.f64 x x) (*.f64 x x))
99.3%1(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x)))
99.3%1x
100.0%1(*.f64 x x)
100.0%1(+.f64 (*.f64 x x) (*.f64 x x))
100.0%1(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x)))
100.0%1x
Samples
60.0ms705×0valid
3.0ms63×0invalid
Compiler

Compiled 140 to 63 computations (55.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-sqrt: 31.0ms (71.2% of total)
ival-mult!: 10.0ms (23.0% of total)
ival-sub!: 2.0ms (4.6% of total)
adjust: 1.0ms (2.3% of total)

derivations166.0ms (0.3%)

Memory
7.9MiB live, 108.0MiB allocated; 59ms collecting garbage
Stop Event
done
Samples
12.0ms256×0valid
Compiler

Compiled 19 to 11 computations (42.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult!: 3.0ms (49.7% of total)
ival-sqrt: 2.0ms (33.1% of total)
ival-sub!: 1.0ms (16.6% of total)
adjust: 0.0ms (0.0% of total)

preprocess744.0ms (1.3%)

Memory
-9.1MiB live, 948.8MiB allocated; 227ms collecting garbage
Symmetry

(abs x)

Samples
581.0ms8 512×0valid
Compiler

Compiled 70 to 40 computations (42.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 285.0ms
ival-mult!: 155.0ms (54.5% of total)
ival-sqrt: 95.0ms (33.4% of total)
ival-sub!: 25.0ms (8.8% of total)
adjust: 10.0ms (3.5% of total)

end0.0ms (0.0%)

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

Profiling

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