sqrt A (should all be same)

Time bar (total: 1.3s)

start0.0ms (0.0%)

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

analyze0.0ms (0.0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
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)

sample481.0ms (37.5%)

Memory
-6.3MiB live, 674.5MiB allocated; 150ms collecting garbage
Samples
344.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 168.0ms
ival-hypot: 167.0ms (99.4% of total)
adjust: 1.0ms (0.6% of total)
Bogosity

preprocess47.0ms (3.7%)

Memory
-33.4MiB live, 60.3MiB allocated; 8ms 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
54.7%
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x)))
Symmetry

(abs x)

Compiler

Compiled 16 to 8 computations (50.0% saved)

sample0.0ms (0.0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
Outputs

series8.0ms (0.6%)

Memory
18.6MiB live, 18.6MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01640
Stop Event
iter-limit
Counts
4 → 5
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x)))
(+.f64 (*.f64 x x) (*.f64 x x))
(*.f64 x x)
x
Outputs
#s(approx (sqrt (+ (* x x) (* x x))) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* x 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)
#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
-inf
1.0ms
x
0

rewrite191.0ms (14.9%)

Memory
18.1MiB live, 244.9MiB allocated; 88ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0419
0715
13615
215215
341915
4111015
0405312
Stop Event
iter-limit
node-limit
iter-limit
Counts
4 → 1 076
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x)))
(+.f64 (*.f64 x x) (*.f64 x x))
(*.f64 x x)
x
Outputs
(*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 #s(literal 1/4 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 #s(literal 1/4 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (*.f64 (neg.f64 x) x)) (sqrt.f64 #s(literal -2 binary64)))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (*.f64 (neg.f64 x) x)))
(*.f64 (sqrt.f64 #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x)))
(*.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x x) x) (neg.f64 (fabs.f64 (+.f64 x x)))) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x x) x) (*.f64 #s(literal -2 binary64) x)) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x x) x) (fabs.f64 (+.f64 x x))) #s(literal 1/4 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x x) x) (neg.f64 (fabs.f64 x))) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (fabs.f64 (+.f64 x x))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x x) x) (+.f64 x x)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x x) x) (fabs.f64 x)) #s(literal 1/4 binary64)) (pow.f64 (fabs.f64 (+.f64 x x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x x) x) (neg.f64 x)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x x) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x x) #s(literal 1/4 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 (*.f64 (+.f64 x x) x) (*.f64 x x)) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 (+.f64 x x))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (neg.f64 (fabs.f64 x)) (*.f64 (+.f64 x x) x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) (fabs.f64 x))
(*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (neg.f64 x) (*.f64 (+.f64 x x) x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (fabs.f64 (+.f64 x x)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (fabs.f64 x) (*.f64 (+.f64 x x) x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (neg.f64 (fabs.f64 (+.f64 x x))) (*.f64 (+.f64 x x) x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x))) (*.f64 (+.f64 x x) x)) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x))) (*.f64 (+.f64 x x) x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (+.f64 x x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x (*.f64 (+.f64 x x) x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (fabs.f64 (+.f64 x x)) (*.f64 (+.f64 x x) x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 (+.f64 x x) x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (*.f64 x x) (*.f64 (+.f64 x x) x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x)) (*.f64 (+.f64 x x) x)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x)) (*.f64 (+.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 x x) (+.f64 x x)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.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 (pow.f64 #s(literal -2 binary64) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 1/2 binary64)) (pow.f64 #s(literal -2 binary64) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x)))
(*.f64 (sqrt.f64 (neg.f64 (fabs.f64 (+.f64 x x)))) (sqrt.f64 (neg.f64 (fabs.f64 x))))
(*.f64 (sqrt.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x)))) (sqrt.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x)))))
(*.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 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (fabs.f64 (+.f64 x x))) #s(literal 1/2 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))))
(*.f64 (sqrt.f64 (fabs.f64 (+.f64 x x))) (sqrt.f64 (fabs.f64 x)))
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (sqrt.f64 (neg.f64 x)))
(*.f64 (sqrt.f64 (neg.f64 (fabs.f64 x))) (sqrt.f64 (neg.f64 (fabs.f64 (+.f64 x x)))))
(*.f64 (sqrt.f64 (fabs.f64 x)) (sqrt.f64 (fabs.f64 (+.f64 x x))))
(*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (*.f64 #s(literal -2 binary64) x)))
(*.f64 (pow.f64 (fabs.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (pow.f64 (fabs.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 (*.f64 #s(literal -2 binary64) 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 #s(literal -2 binary64) 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 #s(literal 2 binary64)) (fabs.f64 x))
(*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (fabs.f64 x))
(*.f64 (pow.f64 (+.f64 x x) #s(literal 1/2 binary64)) (pow.f64 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 (fabs.f64 x) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)))
(*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (fabs.f64 x) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x)) (sqrt.f64 #s(literal 1 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x)) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x)) (pow.f64 (*.f64 (+.f64 x x) x) #s(literal 0 binary64)))
(pow.f64 (pow.f64 (*.f64 (+.f64 x x) x) #s(literal 4 binary64)) #s(literal 1/8 binary64))
(pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (+.f64 x x) x) #s(literal 1/2 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)))
(hypot.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))))
(hypot.f64 (neg.f64 (*.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64))) (neg.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64))))
(hypot.f64 (neg.f64 (*.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64))) (neg.f64 (*.f64 x #s(literal 1 binary64))))
(hypot.f64 (neg.f64 (*.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64))) (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x)))))
(hypot.f64 (neg.f64 (*.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64))) (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x))))
(hypot.f64 (neg.f64 (*.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64))) (neg.f64 (*.f64 #s(literal 1 binary64) x)))
(hypot.f64 (neg.f64 (*.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64))) (*.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)))
(hypot.f64 (neg.f64 (*.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64))) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(hypot.f64 (neg.f64 (*.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64))) (*.f64 x #s(literal 1 binary64)))
(hypot.f64 (neg.f64 (*.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x))))
(hypot.f64 (neg.f64 (*.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(hypot.f64 (neg.f64 (*.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) x))
(hypot.f64 (neg.f64 (*.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64))) (neg.f64 (fabs.f64 x)))
(hypot.f64 (neg.f64 (*.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64))) (fabs.f64 x))
(hypot.f64 (neg.f64 (*.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64))) (neg.f64 x))
(hypot.f64 (neg.f64 (*.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64))) x)
(hypot.f64 (neg.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64))) (neg.f64 (*.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64))))
(hypot.f64 (neg.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64))) (neg.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64))))
(hypot.f64 (neg.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64))) (neg.f64 (*.f64 x #s(literal 1 binary64))))
(hypot.f64 (neg.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64))) (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x)))))
(hypot.f64 (neg.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64))) (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x))))
(hypot.f64 (neg.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64))) (neg.f64 (*.f64 #s(literal 1 binary64) x)))
(hypot.f64 (neg.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)))
(hypot.f64 (neg.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(hypot.f64 (neg.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 x #s(literal 1 binary64)))
(hypot.f64 (neg.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x))))
(hypot.f64 (neg.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(hypot.f64 (neg.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) x))
(hypot.f64 (neg.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64))) (neg.f64 (fabs.f64 x)))
(hypot.f64 (neg.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64))) (fabs.f64 x))
(hypot.f64 (neg.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64))) (neg.f64 x))
(hypot.f64 (neg.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64))) x)
(hypot.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (neg.f64 (*.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64))))
(hypot.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (neg.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64))))
(hypot.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (neg.f64 (*.f64 x #s(literal 1 binary64))))
(hypot.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x)))))
(hypot.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x))))
(hypot.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (neg.f64 (*.f64 #s(literal 1 binary64) x)))
(hypot.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (*.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)))
(hypot.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(hypot.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (*.f64 x #s(literal 1 binary64)))
(hypot.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x))))
(hypot.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(hypot.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) x))
(hypot.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (neg.f64 (fabs.f64 x)))
(hypot.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (fabs.f64 x))
(hypot.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (neg.f64 x))
(hypot.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) x)
(hypot.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x)))) (neg.f64 (*.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64))))
(hypot.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x)))) (neg.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64))))
(hypot.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x)))) (neg.f64 (*.f64 x #s(literal 1 binary64))))
(hypot.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)))))
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(fabs.f64 (*.f64 (*.f64 x (neg.f64 (fabs.f64 x))) #s(literal 1 binary64)))
(fabs.f64 (*.f64 (*.f64 (neg.f64 x) (fabs.f64 x)) #s(literal -1 binary64)))
(fabs.f64 (*.f64 (*.f64 (neg.f64 x) (fabs.f64 x)) #s(literal 1 binary64)))
(fabs.f64 (*.f64 (*.f64 x (fabs.f64 x)) #s(literal -1 binary64)))
(fabs.f64 (*.f64 (*.f64 x (fabs.f64 x)) #s(literal 1 binary64)))
(fabs.f64 (*.f64 (*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x)) #s(literal -1 binary64)))
(fabs.f64 (*.f64 (*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x)) #s(literal 1 binary64)))
(fabs.f64 (*.f64 (*.f64 (fabs.f64 x) (neg.f64 x)) #s(literal -1 binary64)))
(fabs.f64 (*.f64 (*.f64 (fabs.f64 x) (neg.f64 x)) #s(literal 1 binary64)))
(fabs.f64 (*.f64 (*.f64 (neg.f64 (fabs.f64 x)) x) #s(literal -1 binary64)))
(fabs.f64 (*.f64 (*.f64 (neg.f64 (fabs.f64 x)) x) #s(literal 1 binary64)))
(fabs.f64 (*.f64 (*.f64 (fabs.f64 x) x) #s(literal -1 binary64)))
(fabs.f64 (*.f64 (*.f64 (fabs.f64 x) x) #s(literal 1 binary64)))
(fabs.f64 (*.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)))
(fabs.f64 (*.f64 (*.f64 x x) #s(literal -1 binary64)))
(fabs.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 2 binary64)))
(fabs.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)))
(fabs.f64 (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64)))
(fabs.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)))
(fabs.f64 (*.f64 (neg.f64 x) (neg.f64 (fabs.f64 x))))
(fabs.f64 (*.f64 x (neg.f64 (fabs.f64 x))))
(fabs.f64 (*.f64 (neg.f64 x) (fabs.f64 x)))
(fabs.f64 (*.f64 x (fabs.f64 x)))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x)))
(fabs.f64 (*.f64 (fabs.f64 x) (neg.f64 x)))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 x)) x))
(fabs.f64 (*.f64 (fabs.f64 x) x))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 (fabs.f64 x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (fabs.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (/.f64 (*.f64 x x) #s(literal 2 binary64)) (/.f64 (*.f64 x x) #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(+.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 0 binary64)))
(+.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (*.f64 x x)))
x

eval139.0ms (10.9%)

Memory
-11.2MiB live, 143.0MiB allocated; 52ms collecting garbage
Compiler

Compiled 18 808 to 2 825 computations (85.0% saved)

prune20.0ms (1.5%)

Memory
-15.3MiB live, 31.6MiB allocated; 3ms collecting garbage
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1 07261 078
Fresh000
Picked101
Done000
Total1 07361 079
Accuracy
100.0%
Counts
1 079 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(hypot.f64 x x)
99.5%
(*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x))
0.0%
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (sqrt.f64 (neg.f64 x)))
99.2%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x))
54.7%
(sqrt.f64 (*.f64 (+.f64 x x) x))
99.2%
#s(approx (sqrt (+ (* x x) (* x x))) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
Compiler

Compiled 84 to 62 computations (26.2% saved)

sample0.0ms (0.0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
(sqrt 2)
2
Outputs
#s(literal 6369051672525773/4503599627370496 binary64)
#s(literal 2 binary64)
Samples
0.0ms0valid
Compiler

Compiled 5 to 4 computations (20.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series10.0ms (0.8%)

Memory
11.0MiB live, 11.0MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048149
Stop Event
iter-limit
Counts
14 → 15
Calls
Call 1
Inputs
(hypot.f64 x x)
x
#s(approx (sqrt (+ (* x x) (* x x))) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x))
(fabs.f64 x)
(sqrt.f64 (*.f64 (+.f64 x x) x))
(*.f64 (+.f64 x x) x)
(+.f64 x x)
(*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x))
(sqrt.f64 (+.f64 x x))
(sqrt.f64 x)
Outputs
#s(approx (sqrt (+ (* x x) (* x x))) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
#s(approx x x)
#s(approx (* (sqrt 2) (fabs x)) (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (fabs x) (fabs.f64 x))
#s(approx (* (+ x x) x) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ x x) (*.f64 #s(literal 2 binary64) x))
#s(approx (* (sqrt (+ x x)) (sqrt x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (*.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 (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 (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) (* x x))) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
#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)))))
Calls

3 calls:

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

rewrite117.0ms (9.1%)

Memory
18.6MiB live, 115.7MiB allocated; 14ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01753
02742
18342
226041
379641
4297541
0442841
Stop Event
iter-limit
node-limit
iter-limit
Counts
14 → 1 183
Calls
Call 1
Inputs
(hypot.f64 x x)
x
#s(approx (sqrt (+ (* x x) (* x x))) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x))
(fabs.f64 x)
(sqrt.f64 (*.f64 (+.f64 x x) x))
(*.f64 (+.f64 x x) x)
(+.f64 x x)
(*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x))
(sqrt.f64 (+.f64 x x))
(sqrt.f64 x)
Outputs
(*.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x x) x) (*.f64 (sqrt.f64 (+.f64 x x)) x)) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (+.f64 x x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x x) x) (*.f64 (sqrt.f64 x) (+.f64 x x))) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x x) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x))) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x x) x) (*.f64 #s(literal -2 binary64) x)) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x x) x) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x x) x) (neg.f64 x)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x x) x) (sqrt.f64 x)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) (+.f64 x x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x x) x) (sqrt.f64 (+.f64 x x))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (sqrt.f64 (+.f64 x x)) x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x x) x) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x x) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x x) x) (*.f64 x x)) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x x) x) (+.f64 x x)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 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 (sqrt.f64 x) (+.f64 x x)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) (*.f64 (+.f64 x x) x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 x x) x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 x x)) x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (sqrt.f64 (+.f64 x x)) (*.f64 (+.f64 x x) x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (+.f64 x x) x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 x x)) x) (*.f64 (sqrt.f64 (+.f64 x x)) x)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 x x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x)) (*.f64 (+.f64 x x) x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x))) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (+.f64 x x) x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 x) (+.f64 x x)) (*.f64 (sqrt.f64 x) (+.f64 x x))) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (+.f64 x x) (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 (*.f64 (*.f64 x x) (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 (*.f64 x (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 (*.f64 (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) x) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 (+.f64 x x)))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (+.f64 x x))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 x))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (+.f64 x x))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (neg.f64 x) (*.f64 (+.f64 x x) x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x x)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 x x)) x) (*.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 (sqrt.f64 (+.f64 x x)) x) (*.f64 (sqrt.f64 (+.f64 x x)) x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (+.f64 x x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x (*.f64 (+.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 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (*.f64 x x) (*.f64 (+.f64 x x) x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal -2 binary64) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (*.f64 (sqrt.f64 x) (+.f64 x x)) (*.f64 (+.f64 x x) x)) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (+.f64 x x))) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x))) (sqrt.f64 (sqrt.f64 #s(literal 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 (sqrt.f64 (+.f64 x x)) x)) (sqrt.f64 (sqrt.f64 (+.f64 x x))))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 1/2 binary64)) (pow.f64 #s(literal -2 binary64) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (+.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 (+.f64 x x)) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (+.f64 x x))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 x x))) x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (+.f64 x x))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 x) (+.f64 x x)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 x) (+.f64 x x)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
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(*.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 x x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 (+.f64 x x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (+.f64 x x)))) (sqrt.f64 (neg.f64 (sqrt.f64 (+.f64 x x)))))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (+.f64 x x))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 x x))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.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 (*.f64 (neg.f64 x) (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 (sqrt.f64 x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) #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 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 (+.f64 x x)) #s(literal 1 binary64)) #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 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x x))) (sqrt.f64 (sqrt.f64 (+.f64 x x))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 x x)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)) (pow.f64 #s(literal -2 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 x) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (+.f64 x x)) (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (+.f64 x x)) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 1/4 binary64))
(pow.f64 (+.f64 x x) #s(literal 1/2 binary64))
(neg.f64 (neg.f64 (sqrt.f64 (+.f64 x x))))
(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 (*.f64 x (neg.f64 (sqrt.f64 x))) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 x (sqrt.f64 x)) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (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 (*.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 (*.f64 (+.f64 x x) x) #s(literal 1/4 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (neg.f64 (sqrt.f64 x)) x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 x))) (sqrt.f64 (neg.f64 (sqrt.f64 x))))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64)) #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 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) #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 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (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))))
(*.f64 (sqrt.f64 x) (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (+.f64 x x)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
(pow.f64 x #s(literal 1/2 binary64))
(neg.f64 (neg.f64 (sqrt.f64 x)))
(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)))

eval80.0ms (6.3%)

Memory
14.1MiB live, 104.2MiB allocated; 10ms collecting garbage
Compiler

Compiled 14 447 to 2 460 computations (83.0% saved)

prune22.0ms (1.7%)

Memory
-24.9MiB live, 23.2MiB allocated; 12ms collecting garbage
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New9474951
Fresh011
Picked235
Done000
Total9498957
Accuracy
100.0%
Counts
957 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(hypot.f64 x x)
99.0%
(*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x))
99.5%
(*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x))
0.0%
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (sqrt.f64 (neg.f64 x)))
99.3%
(*.f64 #s(approx (sqrt (+ x x)) (*.f64 x (sqrt.f64 (/.f64 #s(literal 2 binary64) x)))) (sqrt.f64 x))
99.2%
(*.f64 #s(literal 6369051672525773/4503599627370496 binary64) (fabs.f64 x))
54.7%
(sqrt.f64 (*.f64 (+.f64 x x) x))
99.2%
#s(approx (sqrt (+ (* x x) (* x x))) (*.f64 x #s(literal 6369051672525773/4503599627370496 binary64)))
Compiler

Compiled 108 to 79 computations (26.9% saved)

sample0.0ms (0.0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
2
6369051672525773/4503599627370496
-2
(sqrt 2)
Outputs
#s(literal 2 binary64)
#s(literal 6369051672525773/4503599627370496 binary64)
#s(literal -2 binary64)
#s(literal 6369051672525773/4503599627370496 binary64)
Samples
0.0ms0valid
Compiler

Compiled 7 to 6 computations (14.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series16.0ms (1.2%)

Memory
16.9MiB live, 16.9MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
096360
Stop Event
iter-limit
Counts
22 → 32
Calls
Call 1
Inputs
(*.f64 #s(approx (sqrt (+ x x)) (*.f64 x (sqrt.f64 (/.f64 #s(literal 2 binary64) x)))) (sqrt.f64 x))
#s(approx (sqrt (+ x x)) (*.f64 x (sqrt.f64 (/.f64 #s(literal 2 binary64) x))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 2 binary64) x)))
x
(sqrt.f64 (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(sqrt.f64 x)
#s(approx (sqrt (+ (* x x) (* x x))) (*.f64 x #s(literal 6369051672525773/4503599627370496 binary64)))
(*.f64 x #s(literal 6369051672525773/4503599627370496 binary64))
#s(literal 6369051672525773/4503599627370496 binary64)
(*.f64 #s(literal 6369051672525773/4503599627370496 binary64) (fabs.f64 x))
(fabs.f64 x)
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (sqrt.f64 (neg.f64 x)))
(sqrt.f64 (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
(sqrt.f64 (neg.f64 x))
(neg.f64 x)
(*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
Outputs
#s(approx (* (sqrt (+ x x)) (sqrt x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) x))))
#s(approx (sqrt (+ x x)) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)))
#s(approx x x)
#s(approx (sqrt (/ 2 x)) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) x))
#s(approx (/ 2 x) (/.f64 #s(literal 2 binary64) x))
#s(approx (sqrt x) (sqrt.f64 x))
#s(approx (sqrt (+ (* x x) (* x x))) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* x 6369051672525773/4503599627370496) (*.f64 #s(literal 6369051672525773/4503599627370496 binary64) x))
#s(approx (* 6369051672525773/4503599627370496 (fabs x)) (*.f64 #s(literal 6369051672525773/4503599627370496 binary64) (fabs.f64 x)))
#s(approx (fabs x) (fabs.f64 x))
#s(approx (* (sqrt (* -2 x)) (sqrt (neg x))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (sqrt.f64 (*.f64 #s(literal -1 binary64) x))))
#s(approx (sqrt (* -2 x)) (sqrt.f64 (*.f64 #s(literal -2 binary64) x)))
#s(approx (* -2 x) (*.f64 #s(literal -2 binary64) x))
#s(approx (sqrt (neg x)) (sqrt.f64 (*.f64 #s(literal -1 binary64) x)))
#s(approx (neg x) (*.f64 #s(literal -1 binary64) x))
#s(approx (* (* (sqrt x) (sqrt 2)) (sqrt x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64))))
#s(approx (* (sqrt x) (sqrt 2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 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 (sqrt (+ x x)) (*.f64 x (sqrt.f64 (/.f64 #s(literal 2 binary64) x))))
#s(approx (sqrt (/ 2 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 (* -2 x)) (sqrt (neg x))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))
#s(approx (sqrt (* -2 x)) (*.f64 x (sqrt.f64 (/.f64 #s(literal -2 binary64) x))))
#s(approx (sqrt (neg x)) (*.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))
#s(approx (* (* (sqrt x) (sqrt 2)) (sqrt x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))
#s(approx (* (sqrt x) (sqrt 2)) (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.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 (sqrt (* -2 x)) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal -2 binary64) x)))))
#s(approx (sqrt (neg x)) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))
#s(approx (* (sqrt x) (sqrt 2)) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
Calls

3 calls:

TimeVariablePoint
4.0ms
x
inf
4.0ms
x
-inf
3.0ms
x
0

rewrite44.0ms (3.4%)

Memory
-16.4MiB live, 29.8MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027100
04391
112091
237183
0118180
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
22 → 209
Calls
Call 1
Inputs
(*.f64 #s(approx (sqrt (+ x x)) (*.f64 x (sqrt.f64 (/.f64 #s(literal 2 binary64) x)))) (sqrt.f64 x))
#s(approx (sqrt (+ x x)) (*.f64 x (sqrt.f64 (/.f64 #s(literal 2 binary64) x))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 2 binary64) x)))
x
(sqrt.f64 (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(sqrt.f64 x)
#s(approx (sqrt (+ (* x x) (* x x))) (*.f64 x #s(literal 6369051672525773/4503599627370496 binary64)))
(*.f64 x #s(literal 6369051672525773/4503599627370496 binary64))
#s(literal 6369051672525773/4503599627370496 binary64)
(*.f64 #s(literal 6369051672525773/4503599627370496 binary64) (fabs.f64 x))
(fabs.f64 x)
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (sqrt.f64 (neg.f64 x)))
(sqrt.f64 (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
(sqrt.f64 (neg.f64 x))
(neg.f64 x)
(*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
Outputs
(*.f64 (sqrt.f64 x) #s(approx (sqrt (+ x x)) (*.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) x)))
(*.f64 #s(approx (sqrt (+ x x)) (*.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) x)) (sqrt.f64 x))
#s(approx (sqrt (+ x x)) (*.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) x))
(*.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) x)
(*.f64 x (sqrt.f64 (/.f64 #s(literal -2 binary64) x)))
x
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) x))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) x))))
(*.f64 (pow.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 #s(literal -2 binary64) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))
(pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 x))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(sqrt.f64 (/.f64 #s(literal -2 binary64) x))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) x)))))
(fabs.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) x))))
(fabs.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -1 binary64) x))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) x))))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -2 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) (sqrt.f64 (/.f64 #s(literal -2 binary64) x)))
(*.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) x))
(pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)) x)
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) x #s(literal 1 binary64)) x)
(/.f64 (fma.f64 #s(literal -1 binary64) x x) (*.f64 x x))
(/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) x)) (*.f64 x x))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -2 binary64) x))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)))))
(/.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 x #s(literal -1 binary64))) (*.f64 x x))
(/.f64 (+.f64 x (*.f64 x #s(literal -1 binary64))) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal -2 binary64) x)
(/.f64 #s(literal 2 binary64) x)
(/.f64 (-.f64 x x) (*.f64 x x))
(neg.f64 (/.f64 #s(literal -2 binary64) x))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))
(-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))
(sqrt.f64 (*.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal -2 binary64) x)))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) x))) (sqrt.f64 (/.f64 #s(literal -2 binary64) x))))
(fabs.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) (neg.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) x)))))
(fabs.f64 (/.f64 #s(literal -2 binary64) x))
(+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))
#s(literal 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)))
#s(approx (sqrt (+ (* x x) (* x x))) (*.f64 #s(literal 6369051672525773/4503599627370496 binary64) x))
(*.f64 #s(literal 6369051672525773/4503599627370496 binary64) x)
(*.f64 x #s(literal 6369051672525773/4503599627370496 binary64))
#s(literal 6369051672525773/4503599627370496 binary64)
(*.f64 #s(literal 6369051672525773/4503599627370496 binary64) x)
(*.f64 x #s(literal 6369051672525773/4503599627370496 binary64))
x
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) 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 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) x)
(*.f64 (neg.f64 (sqrt.f64 (-.f64 x x))) (sqrt.f64 x))
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (-.f64 x x)))
(*.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 (pow.f64 #s(literal -2 binary64) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (*.f64 x x)))
(*.f64 (sqrt.f64 (-.f64 x x)) (neg.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (-.f64 x x)) (sqrt.f64 x))
(*.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 #s(literal 2 binary64)) x)
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 x x))))
(*.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x x)))
(*.f64 x (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (*.f64 (-.f64 x x) x) #s(literal 1/2 binary64))
(neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(sqrt.f64 (*.f64 (-.f64 x x) x))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 x x))) (neg.f64 (sqrt.f64 x))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 (-.f64 x x)))))
(fabs.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 x x) x)) #s(literal 1/2 binary64)))
(hypot.f64 x x)
(*.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 (pow.f64 #s(literal -2 binary64) #s(literal 1/2 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (pow.f64 #s(literal -2 binary64) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -2 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 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 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 x))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(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 (*.f64 (sqrt.f64 (-.f64 x x)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x x)) x)
(*.f64 (neg.f64 (sqrt.f64 (-.f64 x x))) (neg.f64 (sqrt.f64 (-.f64 x x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x x)) x)
(*.f64 #s(literal 1 binary64) (-.f64 x x))
(*.f64 (sqrt.f64 (-.f64 x x)) (sqrt.f64 (-.f64 x x)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(*.f64 #s(literal -2 binary64) x)
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (-.f64 x x))))
(*.f64 #s(literal 2 binary64) x)
(*.f64 (-.f64 x x) #s(literal 1 binary64))
(*.f64 x #s(literal -2 binary64))
(*.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 (-.f64 x x) (-.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 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 (-.f64 x x) x)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 (-.f64 x x) x)))
(/.f64 (*.f64 (-.f64 x x) x) (-.f64 x x))
(neg.f64 (-.f64 x x))
(fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1 binary64) x))
(fma.f64 x #s(literal -1 binary64) (*.f64 x #s(literal -1 binary64)))
(-.f64 x (*.f64 #s(literal -1 binary64) x))
(-.f64 x x)
(sqrt.f64 (*.f64 (-.f64 x x) (-.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)
#s(literal -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)))
x
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) 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 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) x)
(*.f64 (neg.f64 (sqrt.f64 (-.f64 x x))) (sqrt.f64 x))
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (-.f64 x x)))
(*.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 (pow.f64 #s(literal -2 binary64) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (*.f64 x x)))
(*.f64 (sqrt.f64 (-.f64 x x)) (neg.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (-.f64 x x)) (sqrt.f64 x))
(*.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 #s(literal 2 binary64)) x)
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 x x))))
(*.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x x)))
(*.f64 x (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (*.f64 (-.f64 x x) x) #s(literal 1/2 binary64))
(neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(sqrt.f64 (*.f64 (-.f64 x x) x))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 x x))) (neg.f64 (sqrt.f64 x))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 (-.f64 x x)))))
(fabs.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 x x) x)) #s(literal 1/2 binary64)))
(hypot.f64 x x)
(*.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 (pow.f64 #s(literal -2 binary64) #s(literal 1/2 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (pow.f64 #s(literal -2 binary64) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -2 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 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 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 x))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(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 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (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 2 binary64) #s(literal 1/2 binary64))
(sqrt.f64 #s(literal 2 binary64))
(fabs.f64 (neg.f64 (neg.f64 (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)))

eval12.0ms (0.9%)

Memory
18.1MiB live, 18.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 2 712 to 668 computations (75.4% saved)

prune5.0ms (0.4%)

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

8 alts after pruning (0 fresh and 8 done)

PrunedKeptTotal
New1900190
Fresh000
Picked055
Done033
Total1908198
Accuracy
100.0%
Counts
198 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(hypot.f64 x x)
99.0%
(*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x))
99.5%
(*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x))
0.0%
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (sqrt.f64 (neg.f64 x)))
99.3%
(*.f64 #s(approx (sqrt (+ x x)) (*.f64 x (sqrt.f64 (/.f64 #s(literal 2 binary64) x)))) (sqrt.f64 x))
99.2%
(*.f64 #s(literal 6369051672525773/4503599627370496 binary64) (fabs.f64 x))
54.7%
(sqrt.f64 (*.f64 (+.f64 x x) x))
99.2%
#s(approx (sqrt (+ (* x x) (* x x))) (*.f64 x #s(literal 6369051672525773/4503599627370496 binary64)))
Compiler

Compiled 62 to 45 computations (27.4% saved)

regimes40.0ms (3.1%)

Memory
4.5MiB live, 50.8MiB allocated; 3ms collecting garbage
Counts
5 → 1
10 → 1
11 → 1
Calls
Call 1
Inputs
#s(approx (sqrt (+ (* x x) (* x x))) (*.f64 x #s(literal 6369051672525773/4503599627370496 binary64)))
(*.f64 #s(literal 6369051672525773/4503599627370496 binary64) (fabs.f64 x))
#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 #s(literal 6369051672525773/4503599627370496 binary64)))
Call 2
Inputs
#s(approx (sqrt (+ (* x x) (* x x))) (*.f64 x #s(literal 6369051672525773/4503599627370496 binary64)))
(*.f64 #s(literal 6369051672525773/4503599627370496 binary64) (fabs.f64 x))
#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))
(*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x))
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x)))
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (sqrt.f64 (neg.f64 x)))
(*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x))
(*.f64 #s(approx (sqrt (+ x x)) (*.f64 x (sqrt.f64 (/.f64 #s(literal 2 binary64) x)))) (sqrt.f64 x))
Outputs
(*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x))
Call 3
Inputs
#s(approx (sqrt (+ (* x x) (* x x))) (*.f64 x #s(literal 6369051672525773/4503599627370496 binary64)))
(*.f64 #s(literal 6369051672525773/4503599627370496 binary64) (fabs.f64 x))
#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))
(*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x))
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x)))
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (sqrt.f64 (neg.f64 x)))
(*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x))
(*.f64 #s(approx (sqrt (+ x x)) (*.f64 x (sqrt.f64 (/.f64 #s(literal 2 binary64) x)))) (sqrt.f64 x))
(hypot.f64 x x)
Outputs
(hypot.f64 x x)
Calls

12 calls:

6.0ms
x
3.0ms
x
3.0ms
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x)))
3.0ms
(+.f64 (*.f64 x x) (*.f64 x x))
3.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
99.2%1(*.f64 x x)
99.2%1(+.f64 (*.f64 x x) (*.f64 x x))
99.2%1(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x)))
99.2%1x
99.5%1(*.f64 x x)
99.5%1(+.f64 (*.f64 x x) (*.f64 x x))
99.5%1(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x)))
99.5%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
Compiler

Compiled 145 to 69 computations (52.4% saved)

derivations31.0ms (2.4%)

Memory
-35.7MiB live, 11.1MiB allocated; 2ms collecting garbage
Stop Event
done
Compiler

Compiled 22 to 12 computations (45.5% saved)

preprocess18.0ms (1.4%)

Memory
28.3MiB live, 28.3MiB allocated; 0ms collecting garbage
Symmetry

(abs x)

Compiler

Compiled 82 to 45 computations (45.1% saved)

end0.0ms (0.0%)

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

Profiling

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