sqrt E (should all be same)

Time bar (total: 2.7s)

start0.0ms (0.0%)

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

analyze0.0ms (0.0%)

Memory
0.9MiB live, 0.9MiB 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 6 computations (40.0% saved)

sample824.0ms (30.4%)

Memory
16.8MiB live, 740.6MiB allocated; 926ms collecting garbage
Samples
645.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 226.0ms
ival-sqrt: 111.0ms (49.0% of total)
ival-pow2: 94.0ms (41.5% of total)
ival-add!: 20.0ms (8.8% of total)
adjust: 1.0ms (0.4% of total)
Bogosity

preprocess77.0ms (2.8%)

Memory
-17.9MiB live, 31.2MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01020
12519
27219
318919
460919
5356619
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.7%
(sqrt.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 x #s(literal 2 binary64))))
Symmetry

(abs x)

Compiler

Compiled 16 to 10 computations (37.5% saved)

sample0.0ms (0.0%)

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

Compiled 3 to 3 computations (0.0% saved)

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

series7.0ms (0.3%)

Memory
14.3MiB live, 14.3MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01551
Stop Event
iter-limit
Counts
5 → 5
Calls
Call 1
Inputs
(sqrt.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 x #s(literal 2 binary64))))
(+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 x #s(literal 2 binary64)))
(pow.64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
Outputs
#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.f64 x (sqrt.64 #s(literal 2 binary64))))
#s(approx (+ (pow x 2) (pow x 2)) (*.f64 #s(literal 2 binary64) (pow.64 x #s(literal 2 binary64))))
#s(approx (pow x 2) (pow.64 x #s(literal 2 binary64)))
#s(approx x x)
#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.64 #s(literal 2 binary64)))))
Calls

3 calls:

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

rewrite261.0ms (9.6%)

Memory
21.6MiB live, 356.6MiB allocated; 75ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0520
0816
13516
210116
326216
499616
0410613
Stop Event
iter-limit
node-limit
iter-limit
Counts
5 → 2 978
Calls
Call 1
Inputs
(sqrt.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 x #s(literal 2 binary64))))
(+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 x #s(literal 2 binary64)))
(pow.64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
Outputs
(*.f64 (pow.64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 x x)) (/.f64 #s(literal 1/4 binary64) #s(literal 2 binary64))) (pow.64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 x x)) (/.f64 #s(literal 1/4 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.64 (*.f64 (fabs.64 x) #s(literal -2 binary64))) (sqrt.64 (neg.f64 (fabs.64 x))))
(*.f64 (sqrt.64 (*.f64 (neg.f64 (*.f64 (fabs.64 x) (sqrt.64 #s(literal 2 binary64)))) #s(literal 1 binary64))) (sqrt.64 (*.f64 (neg.f64 (*.f64 (fabs.64 x) (sqrt.64 #s(literal 2 binary64)))) #s(literal 1 binary64))))
(*.f64 (sqrt.64 (*.f64 (*.f64 (+.f64 x x) x) #s(literal 2 binary64))) (sqrt.64 #s(literal 1/2 binary64)))
(*.f64 (pow.64 (*.f64 (*.f64 (+.f64 x x) x) (fabs.64 (+.f64 x x))) #s(literal 1/4 binary64)) (pow.64 (fabs.64 x) #s(literal 1/4 binary64)))
(*.f64 (pow.64 (*.f64 (*.f64 (+.f64 x x) x) (*.f64 #s(literal -2 binary64) x)) #s(literal 1/4 binary64)) (pow.64 (neg.f64 x) #s(literal 1/4 binary64)))
(*.f64 (pow.64 (*.f64 (*.f64 (+.f64 x x) x) (+.f64 x x)) #s(literal 1/4 binary64)) (pow.64 x #s(literal 1/4 binary64)))
(*.f64 (pow.64 (*.f64 (*.f64 (+.f64 x x) x) (fabs.64 x)) #s(literal 1/4 binary64)) (pow.64 (fabs.64 (+.f64 x x)) #s(literal 1/4 binary64)))
(*.f64 (pow.64 (*.f64 (*.f64 (+.f64 x x) x) (neg.f64 x)) #s(literal 1/4 binary64)) (pow.64 (*.f64 #s(literal -2 binary64) x) #s(literal 1/4 binary64)))
(*.f64 (pow.64 (*.f64 (*.f64 (+.f64 x x) x) x) #s(literal 1/4 binary64)) (pow.64 (+.f64 x x) #s(literal 1/4 binary64)))
(*.f64 (pow.64 (*.f64 (*.f64 (+.f64 x x) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.64 (*.f64 x x) #s(literal 1/4 binary64)))
(*.f64 (pow.64 (*.f64 (*.f64 (+.f64 x x) x) (*.f64 x x)) #s(literal 1/4 binary64)) (pow.64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(*.f64 (pow.64 #s(literal 4 binary64) #s(literal 1/4 binary64)) (fabs.64 x))
(*.f64 (pow.64 (fabs.64 (+.f64 x x)) #s(literal 1/4 binary64)) (pow.64 (*.f64 (fabs.64 x) (*.f64 (+.f64 x x) x)) #s(literal 1/4 binary64)))
(*.f64 (pow.64 (*.f64 #s(literal -2 binary64) x) #s(literal 1/4 binary64)) (pow.64 (*.f64 (neg.f64 x) (*.f64 (+.f64 x x) x)) #s(literal 1/4 binary64)))
(*.f64 (pow.64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (pow.64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 1/4 binary64)))
(*.f64 (pow.64 (+.f64 x x) #s(literal 1/4 binary64)) (pow.64 (*.f64 x (*.f64 (+.f64 x x) x)) #s(literal 1/4 binary64)))
(*.f64 (pow.64 (fabs.64 x) #s(literal 1/4 binary64)) (pow.64 (*.f64 (fabs.64 (+.f64 x x)) (*.f64 (+.f64 x x) x)) #s(literal 1/4 binary64)))
(*.f64 (pow.64 (neg.f64 x) #s(literal 1/4 binary64)) (pow.64 (*.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 (+.f64 x x) x)) #s(literal 1/4 binary64)))
(*.f64 (pow.64 (*.f64 (neg.f64 (*.f64 (fabs.64 x) (sqrt.64 #s(literal 2 binary64)))) (*.f64 (+.f64 x x) x)) #s(literal 1/4 binary64)) (pow.64 (neg.f64 (*.f64 (fabs.64 x) (sqrt.64 #s(literal 2 binary64)))) #s(literal 1/4 binary64)))
(*.f64 (pow.64 (neg.f64 (*.f64 (fabs.64 x) (sqrt.64 #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (pow.64 (*.f64 (neg.f64 (*.f64 (fabs.64 x) (sqrt.64 #s(literal 2 binary64)))) (*.f64 (+.f64 x x) x)) #s(literal 1/4 binary64)))
(*.f64 (pow.64 (*.f64 (*.f64 (fabs.64 x) (sqrt.64 #s(literal 2 binary64))) (*.f64 (+.f64 x x) x)) #s(literal 1/4 binary64)) (pow.64 (*.f64 (fabs.64 x) (sqrt.64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.64 (*.f64 (fabs.64 x) (sqrt.64 #s(literal 2 binary64))) #s(literal 1/4 binary64)) (pow.64 (*.f64 (*.f64 (fabs.64 x) (sqrt.64 #s(literal 2 binary64))) (*.f64 (+.f64 x x) x)) #s(literal 1/4 binary64)))
(*.f64 (pow.64 (*.f64 (+.f64 x x) x) #s(literal 1/4 binary64)) (pow.64 (*.f64 (+.f64 x x) x) #s(literal 1/4 binary64)))
(*.f64 (pow.64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (pow.64 (*.f64 x x) #s(literal 1/4 binary64)))
(*.f64 (pow.64 (*.f64 x x) #s(literal 1/4 binary64)) (pow.64 (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 x x) x)) #s(literal 1/4 binary64)))
(*.f64 (pow.64 (*.f64 x x) #s(literal 1/4 binary64)) (pow.64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 1/4 binary64)))
(*.f64 (pow.64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.64 (*.f64 (*.f64 x x) (*.f64 (+.f64 x x) x)) #s(literal 1/4 binary64)))
(*.f64 (pow.64 x #s(literal 1/4 binary64)) (pow.64 (*.f64 (+.f64 x x) (*.f64 (+.f64 x x) x)) #s(literal 1/4 binary64)))
(*.f64 (pow.64 (*.f64 (fabs.64 x) #s(literal -2 binary64)) #s(literal 1/2 binary64)) (pow.64 (neg.f64 (fabs.64 x)) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (neg.f64 (fabs.64 x)) #s(literal 1/2 binary64)) (pow.64 (*.f64 (neg.f64 (fabs.64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (neg.f64 (fabs.64 x)) #s(literal 1/2 binary64)) (pow.64 (*.f64 (fabs.64 x) #s(literal -2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (*.f64 (neg.f64 (*.f64 (fabs.64 x) (sqrt.64 #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.64 (*.f64 (neg.f64 (*.f64 (fabs.64 x) (sqrt.64 #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (*.f64 (*.f64 (+.f64 x x) x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 (sqrt.64 (neg.f64 (fabs.64 x))) (sqrt.64 (*.f64 (neg.f64 (fabs.64 x)) #s(literal 2 binary64))))
(*.f64 (sqrt.64 (neg.f64 (fabs.64 x))) (sqrt.64 (*.f64 (fabs.64 x) #s(literal -2 binary64))))
(*.f64 (sqrt.64 (fabs.64 (+.f64 x x))) (sqrt.64 (fabs.64 x)))
(*.f64 (sqrt.64 (fabs.64 x)) (sqrt.64 (fabs.64 (+.f64 x x))))
(*.f64 (sqrt.64 (*.f64 #s(literal -2 binary64) x)) (sqrt.64 (*.f64 (neg.f64 x) #s(literal 1 binary64))))
(*.f64 (sqrt.64 (*.f64 #s(literal -2 binary64) x)) (sqrt.64 (neg.f64 x)))
(*.f64 (sqrt.64 (neg.f64 x)) (sqrt.64 (*.f64 #s(literal -2 binary64) x)))
(*.f64 (sqrt.64 (neg.f64 (*.f64 (fabs.64 x) (sqrt.64 #s(literal 2 binary64))))) (sqrt.64 (*.f64 (neg.f64 (*.f64 (fabs.64 x) (sqrt.64 #s(literal 2 binary64)))) #s(literal 1 binary64))))
(*.f64 (sqrt.64 (neg.f64 (*.f64 (fabs.64 x) (sqrt.64 #s(literal 2 binary64))))) (sqrt.64 (neg.f64 (*.f64 (fabs.64 x) (sqrt.64 #s(literal 2 binary64))))))
(*.f64 (sqrt.64 #s(literal 1 binary64)) (*.f64 (fabs.64 x) (sqrt.64 #s(literal 2 binary64))))
(*.f64 (pow.64 (fabs.64 (+.f64 x x)) #s(literal 1/2 binary64)) (pow.64 (fabs.64 x) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (fabs.64 x) #s(literal 1/2 binary64)) (pow.64 (fabs.64 (+.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (*.f64 #s(literal -2 binary64) x) #s(literal 1/2 binary64)) (pow.64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (*.f64 #s(literal -2 binary64) x) #s(literal 1/2 binary64)) (pow.64 (neg.f64 x) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (neg.f64 x) #s(literal 1/2 binary64)) (pow.64 (*.f64 #s(literal -2 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (neg.f64 (*.f64 (fabs.64 x) (sqrt.64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (pow.64 (*.f64 (neg.f64 (*.f64 (fabs.64 x) (sqrt.64 #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (neg.f64 (*.f64 (fabs.64 x) (sqrt.64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (pow.64 (neg.f64 (*.f64 (fabs.64 x) (sqrt.64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (*.f64 (fabs.64 x) (sqrt.64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.64 (*.f64 (fabs.64 x) (sqrt.64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (*.f64 (fabs.64 x) (sqrt.64 #s(literal 2 binary64))))
(*.f64 (sqrt.64 (*.f64 (fabs.64 x) (sqrt.64 #s(literal 2 binary64)))) (sqrt.64 (*.f64 (fabs.64 x) (sqrt.64 #s(literal 2 binary64)))))
(*.f64 (sqrt.64 (+.f64 x x)) (sqrt.64 x))
(*.f64 (sqrt.64 x) (sqrt.64 (+.f64 x x)))
(*.f64 (pow.64 (+.f64 x x) #s(literal 1/2 binary64)) (pow.64 x #s(literal 1/2 binary64)))
(*.f64 (pow.64 x #s(literal 1/2 binary64)) (pow.64 (+.f64 x x) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (*.f64 (+.f64 x x) x) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.64 (*.f64 (+.f64 x x) x) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (fabs.64 x) (pow.64 #s(literal 4 binary64) #s(literal 1/4 binary64)))
(*.f64 (fabs.64 x) (sqrt.64 #s(literal 2 binary64)))
(*.f64 (fabs.64 x) (pow.64 #s(literal 2 binary64) #s(literal 1/2 binary64)))
(*.f64 (sqrt.64 #s(literal 2 binary64)) (fabs.64 x))
(*.f64 (pow.64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (fabs.64 x))
(*.f64 (*.f64 (fabs.64 x) (sqrt.64 #s(literal 2 binary64))) (pow.64 #s(literal 1 binary64) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (fabs.64 x) (sqrt.64 #s(literal 2 binary64))) (sqrt.64 #s(literal 1 binary64)))
(*.f64 (*.f64 (fabs.64 x) (sqrt.64 #s(literal 2 binary64))) (pow.64 (*.f64 (+.f64 x x) x) #s(literal 0 binary64)))
(*.f64 (*.f64 (fabs.64 x) (sqrt.64 #s(literal 2 binary64))) (pow.64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (fabs.64 x) (sqrt.64 #s(literal 2 binary64))) #s(literal 1 binary64))
(fabs.64 (*.f64 (neg.f64 (*.f64 (fabs.64 x) (sqrt.64 #s(literal 2 binary64)))) #s(literal -1 binary64)))
(fabs.64 (*.f64 (*.f64 (fabs.64 x) (sqrt.64 #s(literal 2 binary64))) #s(literal -1 binary64)))
(fabs.64 (*.f64 (neg.f64 (*.f64 (fabs.64 x) (sqrt.64 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fabs.64 (neg.f64 (*.f64 (fabs.64 x) (sqrt.64 #s(literal 2 binary64)))))
(fabs.64 (*.f64 (fabs.64 x) (sqrt.64 #s(literal 2 binary64))))
(/.f64 (sqrt.64 (*.f64 (*.f64 (+.f64 x x) x) #s(literal 2 binary64))) (sqrt.64 #s(literal 2 binary64)))
(/.f64 (*.f64 (fabs.64 x) (sqrt.64 #s(literal 2 binary64))) #s(literal 1 binary64))
(neg.f64 (*.f64 (*.f64 (fabs.64 x) (sqrt.64 #s(literal 2 binary64))) #s(literal -1 binary64)))
(neg.f64 (neg.f64 (*.f64 (fabs.64 x) (sqrt.64 #s(literal 2 binary64)))))
(pow.64 (pow.64 (*.f64 (+.f64 x x) x) #s(literal 4 binary64)) #s(literal 1/8 binary64))
(pow.64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 x x)) #s(literal 1/4 binary64))
(pow.64 (*.f64 (+.f64 x x) x) #s(literal 1/2 binary64))
(sqrt.64 (*.f64 (+.f64 x x) x))
(hypot.f64 (*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (*.f64 (fabs.64 x) (sqrt.64 #s(literal 2 binary64)))) #s(literal 1 binary64))) (*.f64 (*.f64 (neg.f64 (*.f64 (fabs.64 x) (sqrt.64 #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 0 binary64)))
(hypot.f64 (*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (*.f64 (fabs.64 x) (sqrt.64 #s(literal 2 binary64)))) #s(literal 1 binary64))) (*.f64 (neg.f64 (*.f64 (fabs.64 x) (sqrt.64 #s(literal 2 binary64)))) #s(literal 0 binary64)))
(hypot.f64 (*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (*.f64 (fabs.64 x) (sqrt.64 #s(literal 2 binary64)))) #s(literal 1 binary64))) (*.f64 (*.f64 (fabs.64 x) (sqrt.64 #s(literal 2 binary64))) #s(literal 0 binary64)))
(hypot.f64 (*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (*.f64 (fabs.64 x) (sqrt.64 #s(literal 2 binary64)))) #s(literal 1 binary64))) (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (*.f64 (fabs.64 x) (sqrt.64 #s(literal 2 binary64)))) #s(literal 1 binary64))))
(hypot.f64 (*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (*.f64 (fabs.64 x) (sqrt.64 #s(literal 2 binary64)))) #s(literal 1 binary64))) (*.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (fabs.64 x) (sqrt.64 #s(literal 2 binary64))))))
(hypot.f64 (*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (*.f64 (fabs.64 x) (sqrt.64 #s(literal 2 binary64)))) #s(literal 1 binary64))) (*.f64 #s(literal 0 binary64) (*.f64 (fabs.64 x) (sqrt.64 #s(literal 2 binary64)))))
(hypot.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (fabs.64 x) (sqrt.64 #s(literal 2 binary64))))) (*.f64 (*.f64 (neg.f64 (*.f64 (fabs.64 x) (sqrt.64 #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 0 binary64)))
(hypot.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (fabs.64 x) (sqrt.64 #s(literal 2 binary64))))) (*.f64 (neg.f64 (*.f64 (fabs.64 x) (sqrt.64 #s(literal 2 binary64)))) #s(literal 0 binary64)))
(hypot.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (fabs.64 x) (sqrt.64 #s(literal 2 binary64))))) (*.f64 (*.f64 (fabs.64 x) (sqrt.64 #s(literal 2 binary64))) #s(literal 0 binary64)))
(hypot.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (fabs.64 x) (sqrt.64 #s(literal 2 binary64))))) (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (*.f64 (fabs.64 x) (sqrt.64 #s(literal 2 binary64)))) #s(literal 1 binary64))))
(hypot.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (fabs.64 x) (sqrt.64 #s(literal 2 binary64))))) (*.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (fabs.64 x) (sqrt.64 #s(literal 2 binary64))))))
(hypot.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (fabs.64 x) (sqrt.64 #s(literal 2 binary64))))) (*.f64 #s(literal 0 binary64) (*.f64 (fabs.64 x) (sqrt.64 #s(literal 2 binary64)))))
(hypot.f64 (*.f64 #s(literal -1 binary64) (*.f64 (fabs.64 x) (sqrt.64 #s(literal 2 binary64)))) (*.f64 (*.f64 (neg.f64 (*.f64 (fabs.64 x) (sqrt.64 #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 0 binary64)))
(hypot.f64 (*.f64 #s(literal -1 binary64) (*.f64 (fabs.64 x) (sqrt.64 #s(literal 2 binary64)))) (*.f64 (neg.f64 (*.f64 (fabs.64 x) (sqrt.64 #s(literal 2 binary64)))) #s(literal 0 binary64)))
(hypot.f64 (*.f64 #s(literal -1 binary64) (*.f64 (fabs.64 x) (sqrt.64 #s(literal 2 binary64)))) (*.f64 (*.f64 (fabs.64 x) (sqrt.64 #s(literal 2 binary64))) #s(literal 0 binary64)))
(hypot.f64 (*.f64 #s(literal -1 binary64) (*.f64 (fabs.64 x) (sqrt.64 #s(literal 2 binary64)))) (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (*.f64 (fabs.64 x) (sqrt.64 #s(literal 2 binary64)))) #s(literal 1 binary64))))
(hypot.f64 (*.f64 #s(literal -1 binary64) (*.f64 (fabs.64 x) (sqrt.64 #s(literal 2 binary64)))) (*.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (fabs.64 x) (sqrt.64 #s(literal 2 binary64))))))
(hypot.f64 (*.f64 #s(literal -1 binary64) (*.f64 (fabs.64 x) (sqrt.64 #s(literal 2 binary64)))) (*.f64 #s(literal 0 binary64) (*.f64 (fabs.64 x) (sqrt.64 #s(literal 2 binary64)))))
(hypot.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 (fabs.64 x) (sqrt.64 #s(literal 2 binary64)))) #s(literal 1 binary64))) (*.f64 (*.f64 (neg.f64 (*.f64 (fabs.64 x) (sqrt.64 #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 0 binary64)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 (fabs.64 x) (sqrt.64 #s(literal 2 binary64)))) #s(literal 1 binary64))) (*.f64 (neg.f64 (*.f64 (fabs.64 x) (sqrt.64 #s(literal 2 binary64)))) #s(literal 0 binary64)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 (fabs.64 x) (sqrt.64 #s(literal 2 binary64)))) #s(literal 1 binary64))) (*.f64 (*.f64 (fabs.64 x) (sqrt.64 #s(literal 2 binary64))) #s(literal 0 binary64)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 (fabs.64 x) (sqrt.64 #s(literal 2 binary64)))) #s(literal 1 binary64))) (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (*.f64 (fabs.64 x) (sqrt.64 #s(literal 2 binary64)))) #s(literal 1 binary64))))
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(-.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 0 binary64)))
(-.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (*.f64 x x)))
(sqrt.64 (*.f64 (*.f64 x x) (*.f64 x x)))
(+.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)))
(exp.64 (*.f64 (log.64 (neg.f64 (fabs.64 x))) #s(literal 2 binary64)))
(exp.64 (*.f64 (log.64 (*.f64 x x)) #s(literal 1 binary64)))
(exp.64 (*.f64 (log.64 (fabs.64 x)) #s(literal 2 binary64)))
(exp.64 (*.f64 (log.64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.64 (*.f64 (log.64 x) #s(literal 2 binary64)))
x
#s(literal 2 binary64)

eval827.0ms (30.5%)

Memory
37.0MiB live, 2 068.2MiB allocated; 195ms collecting garbage
Compiler

Compiled 54 290 to 5 877 computations (89.2% saved)

prune55.0ms (2.0%)

Memory
-23.2MiB live, 171.7MiB allocated; 23ms collecting garbage
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New2 97462 980
Fresh000
Picked101
Done000
Total2 97562 981
Accuracy
100.0%
Counts
2 981 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(hypot.f64 x x)
99.5%
(*.f64 (sqrt.64 (+.f64 x x)) (sqrt.64 x))
0.0%
(*.f64 (sqrt.64 (*.f64 #s(literal -2 binary64) x)) (sqrt.64 (neg.f64 x)))
99.2%
(*.f64 (sqrt.64 #s(literal 2 binary64)) (fabs.64 x))
54.7%
(sqrt.64 (*.f64 (+.f64 x x) x))
99.2%
#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.f64 x (sqrt.64 #s(literal 2 binary64))))
Compiler

Compiled 84 to 64 computations (23.8% saved)

sample0.0ms (0.0%)

Memory
0.6MiB live, 0.6MiB 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)

series11.0ms (0.4%)

Memory
-18.0MiB live, 27.9MiB allocated; 2ms 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 (+ (pow x 2) (pow x 2))) (*.f64 x (sqrt.64 #s(literal 2 binary64))))
(*.f64 x (sqrt.64 #s(literal 2 binary64)))
(sqrt.64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (sqrt.64 #s(literal 2 binary64)) (fabs.64 x))
(fabs.64 x)
(sqrt.64 (*.f64 (+.f64 x x) x))
(*.f64 (+.f64 x x) x)
(+.f64 x x)
(*.f64 (sqrt.64 (+.f64 x x)) (sqrt.64 x))
(sqrt.64 (+.f64 x x))
(sqrt.64 x)
Outputs
#s(approx (sqrt (+ (* x x) (* x x))) (*.f64 x (sqrt.64 #s(literal 2 binary64))))
#s(approx x x)
#s(approx (* (sqrt 2) (fabs x)) (*.f64 (fabs.64 x) (sqrt.64 #s(literal 2 binary64))))
#s(approx (fabs x) (fabs.64 x))
#s(approx (* (+ x x) x) (*.f64 #s(literal 2 binary64) (pow.64 x #s(literal 2 binary64))))
#s(approx (+ x x) (*.f64 #s(literal 2 binary64) x))
#s(approx (* (sqrt (+ x x)) (sqrt x)) (*.f64 (sqrt.64 x) (sqrt.64 (*.f64 #s(literal 2 binary64) x))))
#s(approx (sqrt (+ x x)) (sqrt.64 (*.f64 #s(literal 2 binary64) x)))
#s(approx (sqrt x) (sqrt.64 x))
#s(approx (* (sqrt (+ x x)) (sqrt x)) (*.f64 (pow.64 x #s(literal 2 binary64)) (*.f64 (sqrt.64 (/.f64 #s(literal 1 binary64) x)) (sqrt.64 (/.f64 #s(literal 2 binary64) x)))))
#s(approx (sqrt (+ x x)) (*.f64 x (sqrt.64 (/.f64 #s(literal 2 binary64) x))))
#s(approx (sqrt x) (*.f64 x (sqrt.64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (sqrt (+ (* x x) (* x x))) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.64 #s(literal 2 binary64)))))
#s(approx (sqrt (+ x x)) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.64 (/.f64 #s(literal 2 binary64) x)))))
#s(approx (sqrt x) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.64 (/.f64 #s(literal 1 binary64) x)))))
Calls

3 calls:

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

rewrite131.0ms (4.9%)

Memory
34.3MiB live, 314.4MiB allocated; 33ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01758
03042
19442
226541
380141
4305241
0450541
Stop Event
iter-limit
node-limit
iter-limit
Counts
14 → 1 183
Calls
Call 1
Inputs
(hypot.f64 x x)
x
#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.f64 x (sqrt.64 #s(literal 2 binary64))))
(*.f64 x (sqrt.64 #s(literal 2 binary64)))
(sqrt.64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (sqrt.64 #s(literal 2 binary64)) (fabs.64 x))
(fabs.64 x)
(sqrt.64 (*.f64 (+.f64 x x) x))
(*.f64 (+.f64 x x) x)
(+.f64 x x)
(*.f64 (sqrt.64 (+.f64 x x)) (sqrt.64 x))
(sqrt.64 (+.f64 x x))
(sqrt.64 x)
Outputs
(*.f64 (pow.64 (*.f64 (*.f64 (+.f64 x x) x) (*.f64 (sqrt.64 (+.f64 x x)) x)) #s(literal 1/4 binary64)) (pow.64 (sqrt.64 (+.f64 x x)) #s(literal 1/4 binary64)))
(*.f64 (pow.64 (*.f64 (*.f64 (+.f64 x x) x) (*.f64 (sqrt.64 x) (+.f64 x x))) #s(literal 1/4 binary64)) (pow.64 (sqrt.64 x) #s(literal 1/4 binary64)))
(*.f64 (pow.64 (*.f64 (*.f64 (+.f64 x x) x) (*.f64 (*.f64 (sqrt.64 #s(literal 2 binary64)) x) x)) #s(literal 1/4 binary64)) (pow.64 (sqrt.64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.64 (*.f64 (*.f64 (+.f64 x x) x) (*.f64 #s(literal -2 binary64) x)) #s(literal 1/4 binary64)) (pow.64 (neg.f64 x) #s(literal 1/4 binary64)))
(*.f64 (pow.64 (*.f64 (*.f64 (+.f64 x x) x) (*.f64 (neg.f64 x) (sqrt.64 #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (pow.64 (*.f64 (neg.f64 x) (sqrt.64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.64 (*.f64 (*.f64 (+.f64 x x) x) (neg.f64 x)) #s(literal 1/4 binary64)) (pow.64 (*.f64 #s(literal -2 binary64) x) #s(literal 1/4 binary64)))
(*.f64 (pow.64 (*.f64 (*.f64 (+.f64 x x) x) (*.f64 (sqrt.64 #s(literal 2 binary64)) x)) #s(literal 1/4 binary64)) (pow.64 (*.f64 (sqrt.64 #s(literal 2 binary64)) x) #s(literal 1/4 binary64)))
(*.f64 (pow.64 (*.f64 (*.f64 (+.f64 x x) x) (sqrt.64 x)) #s(literal 1/4 binary64)) (pow.64 (*.f64 (sqrt.64 x) (+.f64 x x)) #s(literal 1/4 binary64)))
(*.f64 (pow.64 (*.f64 (*.f64 (+.f64 x x) x) (sqrt.64 (+.f64 x x))) #s(literal 1/4 binary64)) (pow.64 (*.f64 (sqrt.64 (+.f64 x x)) x) #s(literal 1/4 binary64)))
(*.f64 (pow.64 (*.f64 (*.f64 (+.f64 x x) x) (sqrt.64 #s(literal 2 binary64))) #s(literal 1/4 binary64)) (pow.64 (*.f64 (*.f64 (sqrt.64 #s(literal 2 binary64)) x) x) #s(literal 1/4 binary64)))
(*.f64 (pow.64 (*.f64 (sqrt.64 (+.f64 x x)) x) #s(literal 1/4 binary64)) (pow.64 (*.f64 (sqrt.64 (+.f64 x x)) (*.f64 (+.f64 x x) x)) #s(literal 1/4 binary64)))
(*.f64 (pow.64 (*.f64 (*.f64 (+.f64 x x) x) (*.f64 x x)) #s(literal 1/4 binary64)) (pow.64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(*.f64 (pow.64 (*.f64 (*.f64 (+.f64 x x) x) (+.f64 x x)) #s(literal 1/4 binary64)) (pow.64 x #s(literal 1/4 binary64)))
(*.f64 (pow.64 (*.f64 (*.f64 (+.f64 x x) x) x) #s(literal 1/4 binary64)) (pow.64 (+.f64 x x) #s(literal 1/4 binary64)))
(*.f64 (pow.64 (*.f64 (sqrt.64 x) (+.f64 x x)) #s(literal 1/4 binary64)) (pow.64 (*.f64 (sqrt.64 x) (*.f64 (+.f64 x x) x)) #s(literal 1/4 binary64)))
(*.f64 (pow.64 (*.f64 (*.f64 (sqrt.64 #s(literal 2 binary64)) x) x) #s(literal 1/4 binary64)) (pow.64 (*.f64 (sqrt.64 #s(literal 2 binary64)) (*.f64 (+.f64 x x) x)) #s(literal 1/4 binary64)))
(*.f64 (pow.64 (*.f64 (sqrt.64 #s(literal 2 binary64)) x) #s(literal 1/4 binary64)) (pow.64 (*.f64 (*.f64 (sqrt.64 #s(literal 2 binary64)) x) (*.f64 (+.f64 x x) x)) #s(literal 1/4 binary64)))
(*.f64 (pow.64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (pow.64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 1/4 binary64)))
(*.f64 (pow.64 (*.f64 (neg.f64 x) (sqrt.64 #s(literal 2 binary64))) #s(literal 1/4 binary64)) (pow.64 (*.f64 (*.f64 (neg.f64 x) (sqrt.64 #s(literal 2 binary64))) (*.f64 (+.f64 x x) x)) #s(literal 1/4 binary64)))
(*.f64 (pow.64 (*.f64 (*.f64 (sqrt.64 (+.f64 x x)) x) (*.f64 (sqrt.64 (+.f64 x x)) x)) #s(literal 1/4 binary64)) (pow.64 (+.f64 x x) #s(literal 1/4 binary64)))
(*.f64 (pow.64 (sqrt.64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.64 (*.f64 (*.f64 (*.f64 (sqrt.64 #s(literal 2 binary64)) x) x) (*.f64 (+.f64 x x) x)) #s(literal 1/4 binary64)))
(*.f64 (pow.64 (*.f64 (*.f64 (*.f64 (sqrt.64 #s(literal 2 binary64)) x) x) (*.f64 (*.f64 (sqrt.64 #s(literal 2 binary64)) x) x)) #s(literal 1/4 binary64)) (pow.64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(*.f64 (pow.64 (*.f64 (*.f64 (sqrt.64 x) (+.f64 x x)) (*.f64 (sqrt.64 x) (+.f64 x x))) #s(literal 1/4 binary64)) (pow.64 x #s(literal 1/4 binary64)))
(*.f64 (pow.64 (*.f64 (*.f64 x x) (neg.f64 (sqrt.64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (pow.64 (neg.f64 (sqrt.64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (*.f64 (+.f64 x x) (neg.f64 (sqrt.64 x))) #s(literal 1/2 binary64)) (pow.64 (neg.f64 (sqrt.64 x)) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (*.f64 x (neg.f64 (sqrt.64 (+.f64 x x)))) #s(literal 1/2 binary64)) (pow.64 (neg.f64 (sqrt.64 (+.f64 x x))) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (*.f64 (*.f64 (neg.f64 x) (sqrt.64 #s(literal 2 binary64))) (neg.f64 x)) #s(literal 1/2 binary64)) (pow.64 (sqrt.64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (*.f64 (*.f64 (neg.f64 x) (sqrt.64 #s(literal 2 binary64))) x) #s(literal 1/2 binary64)) (pow.64 (neg.f64 (sqrt.64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (*.f64 (*.f64 (neg.f64 x) (sqrt.64 #s(literal 2 binary64))) (neg.f64 (sqrt.64 (+.f64 x x)))) #s(literal 1/2 binary64)) (pow.64 (sqrt.64 x) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (*.f64 (*.f64 (neg.f64 x) (sqrt.64 #s(literal 2 binary64))) (sqrt.64 (+.f64 x x))) #s(literal 1/2 binary64)) (pow.64 (neg.f64 (sqrt.64 x)) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (*.f64 (*.f64 (neg.f64 x) (sqrt.64 #s(literal 2 binary64))) (neg.f64 (sqrt.64 x))) #s(literal 1/2 binary64)) (pow.64 (sqrt.64 (+.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (*.f64 (*.f64 (neg.f64 x) (sqrt.64 #s(literal 2 binary64))) (sqrt.64 x)) #s(literal 1/2 binary64)) (pow.64 (neg.f64 (sqrt.64 (+.f64 x x))) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (*.f64 (*.f64 (sqrt.64 #s(literal 2 binary64)) x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.64 (*.f64 (*.f64 (sqrt.64 #s(literal 2 binary64)) x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (*.f64 (*.f64 (neg.f64 x) (sqrt.64 #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.64 (*.f64 (*.f64 (neg.f64 x) (sqrt.64 #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/4 binary64)) (sqrt.64 #s(literal 2 binary64)))
(*.f64 (pow.64 (*.f64 #s(literal -2 binary64) x) #s(literal 1/4 binary64)) (pow.64 (*.f64 (neg.f64 x) (*.f64 (+.f64 x x) x)) #s(literal 1/4 binary64)))
(*.f64 (pow.64 (sqrt.64 (+.f64 x x)) #s(literal 1/4 binary64)) (pow.64 (*.f64 (*.f64 (sqrt.64 (+.f64 x x)) x) (*.f64 (+.f64 x x) x)) #s(literal 1/4 binary64)))
(*.f64 (pow.64 (+.f64 x x) #s(literal 1/4 binary64)) (pow.64 (*.f64 (*.f64 (sqrt.64 (+.f64 x x)) x) (*.f64 (sqrt.64 (+.f64 x x)) x)) #s(literal 1/4 binary64)))
(*.f64 (pow.64 (+.f64 x x) #s(literal 1/4 binary64)) (pow.64 (*.f64 x (*.f64 (+.f64 x x) x)) #s(literal 1/4 binary64)))
(*.f64 (pow.64 (*.f64 (+.f64 x x) x) #s(literal 1/4 binary64)) (pow.64 (*.f64 (+.f64 x x) x) #s(literal 1/4 binary64)))
(*.f64 (pow.64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.64 (*.f64 (*.f64 (*.f64 (sqrt.64 #s(literal 2 binary64)) x) x) (*.f64 (*.f64 (sqrt.64 #s(literal 2 binary64)) x) x)) #s(literal 1/4 binary64)))
(*.f64 (pow.64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.64 (*.f64 (*.f64 x x) (*.f64 (+.f64 x x) x)) #s(literal 1/4 binary64)))
(*.f64 (pow.64 #s(literal -2 binary64) #s(literal 1/2 binary64)) (pow.64 (*.f64 (neg.f64 x) x) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (sqrt.64 x) #s(literal 1/4 binary64)) (pow.64 (*.f64 (*.f64 (sqrt.64 x) (+.f64 x x)) (*.f64 (+.f64 x x) x)) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.64 #s(literal 2 binary64)) (neg.f64 (sqrt.64 x))) (neg.f64 (sqrt.64 x)))
(*.f64 (sqrt.64 (*.f64 (neg.f64 x) (sqrt.64 #s(literal 2 binary64)))) (sqrt.64 (*.f64 (neg.f64 x) (sqrt.64 #s(literal 2 binary64)))))
(*.f64 (sqrt.64 (*.f64 (sqrt.64 x) (+.f64 x x))) (sqrt.64 (sqrt.64 x)))
(*.f64 (sqrt.64 (*.f64 (sqrt.64 (+.f64 x x)) x)) (sqrt.64 (sqrt.64 (+.f64 x x))))
(*.f64 (sqrt.64 (*.f64 (*.f64 (sqrt.64 #s(literal 2 binary64)) x) x)) (sqrt.64 (sqrt.64 #s(literal 2 binary64))))
(*.f64 (pow.64 (*.f64 (neg.f64 x) x) #s(literal 1/2 binary64)) (pow.64 #s(literal -2 binary64) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (neg.f64 (sqrt.64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.64 (*.f64 (neg.f64 (sqrt.64 #s(literal 2 binary64))) (*.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (neg.f64 (sqrt.64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.64 (*.f64 x (*.f64 (neg.f64 x) (sqrt.64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (neg.f64 (sqrt.64 x)) #s(literal 1/2 binary64)) (pow.64 (*.f64 (neg.f64 (sqrt.64 x)) (+.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (neg.f64 (sqrt.64 x)) #s(literal 1/2 binary64)) (pow.64 (*.f64 (sqrt.64 (+.f64 x x)) (*.f64 (neg.f64 x) (sqrt.64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (neg.f64 (sqrt.64 (+.f64 x x))) #s(literal 1/2 binary64)) (pow.64 (*.f64 (neg.f64 (sqrt.64 (+.f64 x x))) x) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (neg.f64 (sqrt.64 (+.f64 x x))) #s(literal 1/2 binary64)) (pow.64 (*.f64 (sqrt.64 x) (*.f64 (neg.f64 x) (sqrt.64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (*.f64 (neg.f64 x) (sqrt.64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.64 (*.f64 (*.f64 (neg.f64 x) (sqrt.64 #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (*.f64 (neg.f64 x) (sqrt.64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.64 (*.f64 (neg.f64 x) (sqrt.64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (*.f64 (sqrt.64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) (pow.64 (*.f64 (*.f64 (sqrt.64 #s(literal 2 binary64)) x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (*.f64 (sqrt.64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) (pow.64 (*.f64 (sqrt.64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (*.f64 (sqrt.64 x) (+.f64 x x)) #s(literal 1/2 binary64)) (pow.64 (*.f64 (sqrt.64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (*.f64 (sqrt.64 x) (+.f64 x x)) #s(literal 1/2 binary64)) (pow.64 (sqrt.64 x) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (sqrt.64 x) #s(literal 1/2 binary64)) (pow.64 (*.f64 (*.f64 (sqrt.64 x) (+.f64 x x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (sqrt.64 x) #s(literal 1/2 binary64)) (pow.64 (*.f64 (neg.f64 (sqrt.64 (+.f64 x x))) (*.f64 (neg.f64 x) (sqrt.64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (sqrt.64 x) #s(literal 1/2 binary64)) (pow.64 (*.f64 (sqrt.64 x) (+.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (*.f64 (sqrt.64 (+.f64 x x)) x) #s(literal 1/2 binary64)) (pow.64 (*.f64 (sqrt.64 (+.f64 x x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (*.f64 (sqrt.64 (+.f64 x x)) x) #s(literal 1/2 binary64)) (pow.64 (sqrt.64 (+.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (sqrt.64 (+.f64 x x)) #s(literal 1/2 binary64)) (pow.64 (*.f64 (*.f64 (sqrt.64 (+.f64 x x)) x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (sqrt.64 (+.f64 x x)) #s(literal 1/2 binary64)) (pow.64 (*.f64 (neg.f64 (sqrt.64 x)) (*.f64 (neg.f64 x) (sqrt.64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (sqrt.64 (+.f64 x x)) #s(literal 1/2 binary64)) (pow.64 (*.f64 (sqrt.64 (+.f64 x x)) x) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (*.f64 (*.f64 (sqrt.64 #s(literal 2 binary64)) x) x) #s(literal 1/2 binary64)) (pow.64 (*.f64 (sqrt.64 #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (*.f64 (*.f64 (sqrt.64 #s(literal 2 binary64)) x) x) #s(literal 1/2 binary64)) (pow.64 (sqrt.64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (sqrt.64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.64 (*.f64 (*.f64 (*.f64 (sqrt.64 #s(literal 2 binary64)) x) x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (sqrt.64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.64 (*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (sqrt.64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (sqrt.64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.64 (*.f64 (*.f64 (sqrt.64 #s(literal 2 binary64)) x) x) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (neg.f64 x) #s(literal 1/4 binary64)) (pow.64 (*.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 (+.f64 x x) x)) #s(literal 1/4 binary64)))
(*.f64 (pow.64 x #s(literal 1/4 binary64)) (pow.64 (*.f64 (*.f64 (sqrt.64 x) (+.f64 x x)) (*.f64 (sqrt.64 x) (+.f64 x x))) #s(literal 1/4 binary64)))
(*.f64 (pow.64 x #s(literal 1/4 binary64)) (pow.64 (*.f64 (+.f64 x x) (*.f64 (+.f64 x x) x)) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.64 #s(literal 2 binary64)) x) (pow.64 #s(literal 1 binary64) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.64 #s(literal 2 binary64)) x) (sqrt.64 #s(literal 1 binary64)))
(*.f64 (*.f64 (sqrt.64 #s(literal 2 binary64)) x) (pow.64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
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(*.f64 (pow.64 (*.f64 (sqrt.64 (+.f64 x x)) x) #s(literal 1/2 binary64)) (pow.64 (*.f64 (sqrt.64 (+.f64 x x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (*.f64 (sqrt.64 (+.f64 x x)) x) #s(literal 1/2 binary64)) (pow.64 (sqrt.64 (+.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (sqrt.64 (+.f64 x x)) #s(literal 1/2 binary64)) (pow.64 (*.f64 (*.f64 (sqrt.64 (+.f64 x x)) x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (sqrt.64 (+.f64 x x)) #s(literal 1/2 binary64)) (pow.64 (*.f64 (neg.f64 (sqrt.64 x)) (*.f64 (neg.f64 x) (sqrt.64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (sqrt.64 (+.f64 x x)) #s(literal 1/2 binary64)) (pow.64 (*.f64 (sqrt.64 (+.f64 x x)) x) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (*.f64 (*.f64 (sqrt.64 #s(literal 2 binary64)) x) x) #s(literal 1/2 binary64)) (pow.64 (*.f64 (sqrt.64 #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (*.f64 (*.f64 (sqrt.64 #s(literal 2 binary64)) x) x) #s(literal 1/2 binary64)) (pow.64 (sqrt.64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (sqrt.64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.64 (*.f64 (*.f64 (*.f64 (sqrt.64 #s(literal 2 binary64)) x) x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (sqrt.64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.64 (*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (sqrt.64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (sqrt.64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.64 (*.f64 (*.f64 (sqrt.64 #s(literal 2 binary64)) x) x) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (neg.f64 x) #s(literal 1/4 binary64)) (pow.64 (*.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 (+.f64 x x) x)) #s(literal 1/4 binary64)))
(*.f64 (pow.64 x #s(literal 1/4 binary64)) (pow.64 (*.f64 (*.f64 (sqrt.64 x) (+.f64 x x)) (*.f64 (sqrt.64 x) (+.f64 x x))) #s(literal 1/4 binary64)))
(*.f64 (pow.64 x #s(literal 1/4 binary64)) (pow.64 (*.f64 (+.f64 x x) (*.f64 (+.f64 x x) x)) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.64 #s(literal 2 binary64)) x) (pow.64 #s(literal 1 binary64) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.64 #s(literal 2 binary64)) x) (sqrt.64 #s(literal 1 binary64)))
(*.f64 (*.f64 (sqrt.64 #s(literal 2 binary64)) x) (pow.64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(*.f64 (sqrt.64 (sqrt.64 (+.f64 x x))) (sqrt.64 (*.f64 (sqrt.64 (+.f64 x x)) x)))
(*.f64 (sqrt.64 (sqrt.64 x)) (sqrt.64 (*.f64 (sqrt.64 x) (+.f64 x x))))
(*.f64 (sqrt.64 (sqrt.64 #s(literal 2 binary64))) (sqrt.64 (*.f64 (*.f64 (sqrt.64 #s(literal 2 binary64)) x) x)))
(*.f64 (sqrt.64 (*.f64 (sqrt.64 #s(literal 2 binary64)) x)) (sqrt.64 (*.f64 (sqrt.64 #s(literal 2 binary64)) x)))
(*.f64 (sqrt.64 (*.f64 #s(literal -2 binary64) x)) (sqrt.64 (neg.f64 x)))
(*.f64 (pow.64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (*.f64 (sqrt.64 #s(literal 2 binary64)) x))
(*.f64 (pow.64 (*.f64 #s(literal -2 binary64) x) #s(literal 1/2 binary64)) (pow.64 (neg.f64 x) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (neg.f64 x) #s(literal 1/2 binary64)) (pow.64 (*.f64 #s(literal -2 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (*.f64 (+.f64 x x) x) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.64 (*.f64 (+.f64 x x) x) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (sqrt.64 #s(literal 2 binary64))) (neg.f64 x))
(*.f64 (neg.f64 (sqrt.64 (+.f64 x x))) (neg.f64 (sqrt.64 x)))
(*.f64 (neg.f64 (sqrt.64 x)) (*.f64 (neg.f64 (sqrt.64 x)) (sqrt.64 #s(literal 2 binary64))))
(*.f64 (neg.f64 (sqrt.64 x)) (neg.f64 (sqrt.64 (+.f64 x x))))
(*.f64 (sqrt.64 (neg.f64 x)) (sqrt.64 (*.f64 #s(literal -2 binary64) x)))
(*.f64 (sqrt.64 (*.f64 x x)) (sqrt.64 #s(literal 2 binary64)))
(*.f64 (pow.64 (*.f64 x x) #s(literal 1/2 binary64)) (sqrt.64 #s(literal 2 binary64)))
(*.f64 (neg.f64 x) (neg.f64 (sqrt.64 #s(literal 2 binary64))))
(*.f64 (sqrt.64 x) (sqrt.64 (+.f64 x x)))
(*.f64 (sqrt.64 (+.f64 x x)) (sqrt.64 x))
(*.f64 (+.f64 x x) (pow.64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 (sqrt.64 #s(literal 2 binary64)) (pow.64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/4 binary64)))
(*.f64 (sqrt.64 #s(literal 2 binary64)) (sqrt.64 (*.f64 x x)))
(*.f64 (sqrt.64 #s(literal 2 binary64)) (pow.64 (*.f64 x x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.64 #s(literal 2 binary64)) x)
(*.f64 x (sqrt.64 #s(literal 2 binary64)))
(fabs.64 (*.f64 (sqrt.64 #s(literal 2 binary64)) x))
(fabs.64 (*.f64 (neg.f64 x) (sqrt.64 #s(literal 2 binary64))))
(neg.f64 (*.f64 (neg.f64 x) (sqrt.64 #s(literal 2 binary64))))
(pow.64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 x x)) #s(literal 1/4 binary64))
(pow.64 (*.f64 (+.f64 x x) x) #s(literal 1/2 binary64))
(sqrt.64 (*.f64 (+.f64 x x) x))
(hypot.f64 (neg.f64 x) (neg.f64 x))
(hypot.f64 (neg.f64 x) x)
(hypot.f64 x (neg.f64 x))
(hypot.f64 x x)
(exp.64 (*.f64 (log.64 (*.f64 (+.f64 x x) x)) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (*.f64 (+.f64 x x) (neg.f64 (sqrt.64 (+.f64 x x)))) #s(literal 1/4 binary64)) (pow.64 (neg.f64 (sqrt.64 (+.f64 x x))) #s(literal 1/4 binary64)))
(*.f64 (pow.64 (*.f64 (+.f64 x x) (sqrt.64 (+.f64 x x))) #s(literal 1/4 binary64)) (pow.64 (sqrt.64 (+.f64 x x)) #s(literal 1/4 binary64)))
(*.f64 (pow.64 (*.f64 (+.f64 x x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.64 x #s(literal 1/4 binary64)))
(*.f64 (pow.64 (*.f64 #s(literal -2 binary64) x) #s(literal 1/4 binary64)) (pow.64 (*.f64 #s(literal -2 binary64) x) #s(literal 1/4 binary64)))
(*.f64 (pow.64 (neg.f64 (sqrt.64 (+.f64 x x))) #s(literal 1/4 binary64)) (pow.64 (*.f64 (neg.f64 (sqrt.64 (+.f64 x x))) (+.f64 x x)) #s(literal 1/4 binary64)))
(*.f64 (pow.64 (sqrt.64 (+.f64 x x)) #s(literal 1/4 binary64)) (pow.64 (*.f64 (sqrt.64 (+.f64 x x)) (+.f64 x x)) #s(literal 1/4 binary64)))
(*.f64 (pow.64 (+.f64 x x) #s(literal 1/4 binary64)) (pow.64 (+.f64 x x) #s(literal 1/4 binary64)))
(*.f64 (pow.64 (*.f64 (+.f64 x x) x) #s(literal 1/4 binary64)) (pow.64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(*.f64 (pow.64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.64 (*.f64 (+.f64 x x) x) #s(literal 1/4 binary64)))
(*.f64 (pow.64 (*.f64 #s(literal 2 binary64) (neg.f64 (sqrt.64 x))) #s(literal 1/2 binary64)) (pow.64 (neg.f64 (sqrt.64 x)) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (*.f64 #s(literal 2 binary64) (sqrt.64 x)) #s(literal 1/2 binary64)) (pow.64 (sqrt.64 x) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (*.f64 (sqrt.64 #s(literal 2 binary64)) (sqrt.64 (+.f64 x x))) #s(literal 1/2 binary64)) (pow.64 (sqrt.64 x) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (*.f64 (+.f64 x x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (*.f64 (neg.f64 (sqrt.64 #s(literal 2 binary64))) (neg.f64 (sqrt.64 x))) #s(literal 1/2 binary64)) (pow.64 (*.f64 (neg.f64 (sqrt.64 #s(literal 2 binary64))) (neg.f64 (sqrt.64 x))) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (*.f64 (neg.f64 (sqrt.64 #s(literal 2 binary64))) (sqrt.64 x)) #s(literal 1/2 binary64)) (pow.64 (*.f64 (neg.f64 (sqrt.64 #s(literal 2 binary64))) (sqrt.64 x)) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (*.f64 (sqrt.64 #s(literal 2 binary64)) (neg.f64 (sqrt.64 x))) #s(literal 1/2 binary64)) (pow.64 (*.f64 (sqrt.64 #s(literal 2 binary64)) (neg.f64 (sqrt.64 x))) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (*.f64 (neg.f64 (sqrt.64 x)) (neg.f64 (sqrt.64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (pow.64 (*.f64 (neg.f64 (sqrt.64 x)) (neg.f64 (sqrt.64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (*.f64 (neg.f64 (sqrt.64 x)) (sqrt.64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.64 (*.f64 (neg.f64 (sqrt.64 x)) (sqrt.64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (*.f64 (sqrt.64 x) (neg.f64 (sqrt.64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (pow.64 (*.f64 (sqrt.64 x) (neg.f64 (sqrt.64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (*.f64 (neg.f64 (sqrt.64 (+.f64 x x))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.64 (*.f64 (neg.f64 (sqrt.64 (+.f64 x x))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.64 #s(literal -2 binary64) #s(literal 1/2 binary64)) (pow.64 (neg.f64 x) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (*.f64 (sqrt.64 (+.f64 x x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.64 (*.f64 (sqrt.64 (+.f64 x x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.64 (neg.f64 (sqrt.64 (+.f64 x x)))) (sqrt.64 (neg.f64 (sqrt.64 (+.f64 x x)))))
(*.f64 (pow.64 (neg.f64 (sqrt.64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.64 (*.f64 (neg.f64 x) (sqrt.64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (neg.f64 (sqrt.64 x)) #s(literal 1/2 binary64)) (pow.64 (*.f64 (neg.f64 (sqrt.64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (neg.f64 (sqrt.64 x)) #s(literal 1/2 binary64)) (pow.64 (+.f64 (neg.f64 (sqrt.64 x)) (neg.f64 (sqrt.64 x))) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (neg.f64 (sqrt.64 (+.f64 x x))) #s(literal 1/2 binary64)) (pow.64 (*.f64 (neg.f64 (sqrt.64 (+.f64 x x))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (neg.f64 (sqrt.64 (+.f64 x x))) #s(literal 1/2 binary64)) (pow.64 (neg.f64 (sqrt.64 (+.f64 x x))) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (*.f64 (neg.f64 x) (sqrt.64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.64 (neg.f64 (sqrt.64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (*.f64 (sqrt.64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) (pow.64 (sqrt.64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (sqrt.64 x) #s(literal 1/2 binary64)) (pow.64 (*.f64 (sqrt.64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (sqrt.64 x) #s(literal 1/2 binary64)) (pow.64 (*.f64 (sqrt.64 (+.f64 x x)) (sqrt.64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (sqrt.64 x) #s(literal 1/2 binary64)) (pow.64 (+.f64 (sqrt.64 x) (sqrt.64 x)) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (sqrt.64 (+.f64 x x)) #s(literal 1/2 binary64)) (pow.64 (*.f64 (sqrt.64 (+.f64 x x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (sqrt.64 (+.f64 x x)) #s(literal 1/2 binary64)) (pow.64 (sqrt.64 (+.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (sqrt.64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.64 (*.f64 (sqrt.64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)))
(*.f64 (pow.64 x #s(literal 1/4 binary64)) (pow.64 (*.f64 #s(literal 2 binary64) (+.f64 x x)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.64 (sqrt.64 (+.f64 x x))) (sqrt.64 (sqrt.64 (+.f64 x x))))
(*.f64 (pow.64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.64 (+.f64 x x)))
(*.f64 (pow.64 (neg.f64 x) #s(literal 1/2 binary64)) (pow.64 #s(literal -2 binary64) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (+.f64 x x) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.64 (+.f64 x x) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.64 x) (sqrt.64 #s(literal 2 binary64)))
(*.f64 (sqrt.64 (+.f64 x x)) (pow.64 #s(literal 1 binary64) #s(literal 1/4 binary64)))
(*.f64 (sqrt.64 (+.f64 x x)) (sqrt.64 #s(literal 1 binary64)))
(*.f64 (sqrt.64 (+.f64 x x)) (pow.64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(*.f64 (sqrt.64 #s(literal 2 binary64)) (sqrt.64 x))
(fabs.64 (neg.f64 (sqrt.64 (+.f64 x x))))
(fabs.64 (sqrt.64 (+.f64 x x)))
(neg.f64 (neg.f64 (sqrt.64 (+.f64 x x))))
(pow.64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 1/4 binary64))
(pow.64 (+.f64 x x) #s(literal 1/2 binary64))
(sqrt.64 (+.f64 x x))
(exp.64 (*.f64 (log.64 (+.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (*.f64 x (neg.f64 (sqrt.64 x))) #s(literal 1/4 binary64)) (pow.64 (neg.f64 (sqrt.64 x)) #s(literal 1/4 binary64)))
(*.f64 (pow.64 (*.f64 x (sqrt.64 x)) #s(literal 1/4 binary64)) (pow.64 (sqrt.64 x) #s(literal 1/4 binary64)))
(*.f64 (pow.64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.64 x))) #s(literal 1/2 binary64)) (pow.64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.64 x))) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.64 x))) #s(literal 1/2 binary64)) (pow.64 (neg.f64 (sqrt.64 x)) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (*.f64 #s(literal 1 binary64) (sqrt.64 x)) #s(literal 1/2 binary64)) (pow.64 (*.f64 #s(literal 1 binary64) (sqrt.64 x)) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (*.f64 #s(literal 1 binary64) (sqrt.64 x)) #s(literal 1/2 binary64)) (pow.64 (sqrt.64 x) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (*.f64 (neg.f64 (sqrt.64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.64 (*.f64 (neg.f64 (sqrt.64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (*.f64 (sqrt.64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.64 (*.f64 (sqrt.64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.64 x))
(*.f64 (pow.64 (*.f64 (+.f64 x x) x) #s(literal 1/4 binary64)) (pow.64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)))
(*.f64 (pow.64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/4 binary64)))
(*.f64 (pow.64 (neg.f64 (sqrt.64 x)) #s(literal 1/4 binary64)) (pow.64 (*.f64 (neg.f64 (sqrt.64 x)) x) #s(literal 1/4 binary64)))
(*.f64 (pow.64 (sqrt.64 x) #s(literal 1/4 binary64)) (pow.64 (*.f64 (sqrt.64 x) x) #s(literal 1/4 binary64)))
(*.f64 (sqrt.64 (neg.f64 (sqrt.64 x))) (sqrt.64 (neg.f64 (sqrt.64 x))))
(*.f64 (pow.64 (neg.f64 (sqrt.64 x)) #s(literal 1/2 binary64)) (pow.64 (*.f64 (neg.f64 (sqrt.64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (neg.f64 (sqrt.64 x)) #s(literal 1/2 binary64)) (pow.64 (neg.f64 (sqrt.64 x)) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (sqrt.64 x) #s(literal 1/2 binary64)) (pow.64 (*.f64 (sqrt.64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (sqrt.64 x) #s(literal 1/2 binary64)) (pow.64 (sqrt.64 x) #s(literal 1/2 binary64)))
(*.f64 (pow.64 (neg.f64 x) #s(literal 1/4 binary64)) (pow.64 (neg.f64 x) #s(literal 1/4 binary64)))
(*.f64 (pow.64 x #s(literal 1/4 binary64)) (pow.64 x #s(literal 1/4 binary64)))
(*.f64 (sqrt.64 (sqrt.64 x)) (sqrt.64 (sqrt.64 x)))
(*.f64 (pow.64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.64 x))
(*.f64 (pow.64 x (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.64 x (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.64 x) (pow.64 #s(literal 1 binary64) #s(literal 1/4 binary64)))
(*.f64 (sqrt.64 x) (pow.64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(*.f64 (sqrt.64 (+.f64 x x)) (pow.64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 (sqrt.64 #s(literal 2 binary64)) (pow.64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))
(fabs.64 (neg.f64 (sqrt.64 x)))
(fabs.64 (sqrt.64 x))
(neg.f64 (neg.f64 (sqrt.64 x)))
(pow.64 (*.f64 x x) #s(literal 1/4 binary64))
(pow.64 x #s(literal 1/2 binary64))
(sqrt.64 x)
(exp.64 (*.f64 (log.64 x) #s(literal 1/2 binary64)))

eval207.0ms (7.6%)

Memory
-5.3MiB live, 536.0MiB allocated; 90ms collecting garbage
Compiler

Compiled 14 460 to 2 464 computations (83.0% saved)

prune22.0ms (0.8%)

Memory
-5.2MiB live, 41.5MiB allocated; 2ms collecting garbage
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New9484952
Fresh011
Picked235
Done000
Total9508958
Accuracy
100.0%
Counts
958 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(hypot.f64 x x)
99.0%
(*.f64 (*.f64 (sqrt.64 x) (sqrt.64 #s(literal 2 binary64))) (sqrt.64 x))
99.5%
(*.f64 (sqrt.64 (+.f64 x x)) (sqrt.64 x))
0.0%
(*.f64 (sqrt.64 (*.f64 #s(literal -2 binary64) x)) (sqrt.64 (neg.f64 x)))
99.3%
(*.f64 #s(approx (sqrt (+ x x)) (*.f64 x (sqrt.64 (/.f64 #s(literal 2 binary64) x)))) (sqrt.64 x))
99.2%
(*.f64 #s(literal 6369051672525773/4503599627370496 binary64) (fabs.64 x))
54.7%
(sqrt.64 (*.f64 (+.f64 x x) x))
99.2%
#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.f64 x #s(literal 6369051672525773/4503599627370496 binary64)))
Compiler

Compiled 108 to 81 computations (25.0% saved)

sample0.0ms (0.0%)

Memory
0.6MiB live, 0.6MiB 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)

series17.0ms (0.6%)

Memory
-4.7MiB live, 41.8MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
095370
Stop Event
iter-limit
Counts
22 → 32
Calls
Call 1
Inputs
(*.f64 #s(approx (sqrt (+ x x)) (*.f64 x (sqrt.64 (/.f64 #s(literal 2 binary64) x)))) (sqrt.64 x))
#s(approx (sqrt (+ x x)) (*.f64 x (sqrt.64 (/.f64 #s(literal 2 binary64) x))))
(*.f64 x (sqrt.64 (/.f64 #s(literal 2 binary64) x)))
x
(sqrt.64 (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(sqrt.64 x)
#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.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.64 x))
(fabs.64 x)
(*.f64 (sqrt.64 (*.f64 #s(literal -2 binary64) x)) (sqrt.64 (neg.f64 x)))
(sqrt.64 (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
(sqrt.64 (neg.f64 x))
(neg.f64 x)
(*.f64 (*.f64 (sqrt.64 x) (sqrt.64 #s(literal 2 binary64))) (sqrt.64 x))
(*.f64 (sqrt.64 x) (sqrt.64 #s(literal 2 binary64)))
(sqrt.64 #s(literal 2 binary64))
Outputs
#s(approx (* (sqrt (+ x x)) (sqrt x)) (*.f64 (sqrt.64 x) (sqrt.64 (*.f64 #s(literal 2 binary64) x))))
#s(approx (sqrt (+ x x)) (sqrt.64 (*.f64 #s(literal 2 binary64) x)))
#s(approx x x)
#s(approx (sqrt (/ 2 x)) (/.f64 (sqrt.64 (*.f64 #s(literal 2 binary64) x)) x))
#s(approx (/ 2 x) (/.f64 #s(literal 2 binary64) x))
#s(approx (sqrt x) (sqrt.64 x))
#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.f64 x (sqrt.64 #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.64 x)))
#s(approx (fabs x) (fabs.64 x))
#s(approx (* (sqrt (* -2 x)) (sqrt (neg x))) (*.f64 (sqrt.64 (*.f64 #s(literal -2 binary64) x)) (sqrt.64 (*.f64 #s(literal -1 binary64) x))))
#s(approx (sqrt (* -2 x)) (sqrt.64 (*.f64 #s(literal -2 binary64) x)))
#s(approx (* -2 x) (*.f64 #s(literal -2 binary64) x))
#s(approx (sqrt (neg x)) (sqrt.64 (*.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.64 #s(literal 2 binary64)) (pow.64 (sqrt.64 x) #s(literal 2 binary64))))
#s(approx (* (sqrt x) (sqrt 2)) (*.f64 (sqrt.64 #s(literal 2 binary64)) (sqrt.64 x)))
#s(approx (* (sqrt (+ x x)) (sqrt x)) (*.f64 (pow.64 x #s(literal 2 binary64)) (*.f64 (sqrt.64 (/.f64 #s(literal 1 binary64) x)) (sqrt.64 (/.f64 #s(literal 2 binary64) x)))))
#s(approx (sqrt (+ x x)) (*.f64 x (sqrt.64 (/.f64 #s(literal 2 binary64) x))))
#s(approx (sqrt (/ 2 x)) (sqrt.64 (/.f64 #s(literal 2 binary64) x)))
#s(approx (sqrt x) (*.f64 x (sqrt.64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (* (sqrt (* -2 x)) (sqrt (neg x))) (*.f64 (pow.64 x #s(literal 2 binary64)) (*.f64 (sqrt.64 (/.f64 #s(literal -2 binary64) x)) (sqrt.64 (/.f64 #s(literal -1 binary64) x)))))
#s(approx (sqrt (* -2 x)) (*.f64 x (sqrt.64 (/.f64 #s(literal -2 binary64) x))))
#s(approx (sqrt (neg x)) (*.f64 x (sqrt.64 (/.f64 #s(literal -1 binary64) x))))
#s(approx (* (* (sqrt x) (sqrt 2)) (sqrt x)) (*.f64 (pow.64 x #s(literal 2 binary64)) (*.f64 (sqrt.64 #s(literal 2 binary64)) (pow.64 (sqrt.64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))
#s(approx (* (sqrt x) (sqrt 2)) (*.f64 x (*.f64 (sqrt.64 #s(literal 2 binary64)) (sqrt.64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (sqrt (+ x x)) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.64 (/.f64 #s(literal 2 binary64) x)))))
#s(approx (sqrt x) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.64 #s(literal 2 binary64)))))
#s(approx (sqrt (* -2 x)) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.64 (/.f64 #s(literal -2 binary64) x)))))
#s(approx (sqrt (neg x)) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.64 (/.f64 #s(literal -1 binary64) x)))))
#s(approx (* (sqrt x) (sqrt 2)) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (sqrt.64 #s(literal 2 binary64)) (sqrt.64 (/.f64 #s(literal 1 binary64) x))))))
Calls

3 calls:

TimeVariablePoint
5.0ms
x
-inf
4.0ms
x
inf
3.0ms
x
0

rewrite71.0ms (2.6%)

Memory
0.1MiB live, 141.3MiB allocated; 14ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027100
04391
112191
231583
094880
Stop Event
iter-limit
iter-limit
iter-limit
unsound
iter-limit
Counts
22 → 209
Calls
Call 1
Inputs
(*.f64 #s(approx (sqrt (+ x x)) (*.f64 x (sqrt.64 (/.f64 #s(literal 2 binary64) x)))) (sqrt.64 x))
#s(approx (sqrt (+ x x)) (*.f64 x (sqrt.64 (/.f64 #s(literal 2 binary64) x))))
(*.f64 x (sqrt.64 (/.f64 #s(literal 2 binary64) x)))
x
(sqrt.64 (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(sqrt.64 x)
#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.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.64 x))
(fabs.64 x)
(*.f64 (sqrt.64 (*.f64 #s(literal -2 binary64) x)) (sqrt.64 (neg.f64 x)))
(sqrt.64 (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
(sqrt.64 (neg.f64 x))
(neg.f64 x)
(*.f64 (*.f64 (sqrt.64 x) (sqrt.64 #s(literal 2 binary64))) (sqrt.64 x))
(*.f64 (sqrt.64 x) (sqrt.64 #s(literal 2 binary64)))
(sqrt.64 #s(literal 2 binary64))
Outputs
(*.f64 (sqrt.64 x) #s(approx (sqrt (+ x x)) (*.f64 (sqrt.64 (/.f64 #s(literal -2 binary64) x)) x)))
(*.f64 #s(approx (sqrt (+ x x)) (*.f64 (sqrt.64 (/.f64 #s(literal -2 binary64) x)) x)) (sqrt.64 x))
#s(approx (sqrt (+ x x)) (*.f64 (sqrt.64 (/.f64 #s(literal -2 binary64) x)) x))
(*.f64 (sqrt.64 (/.f64 #s(literal -2 binary64) x)) x)
(*.f64 x (sqrt.64 (/.f64 #s(literal -2 binary64) x)))
x
(*.f64 (sqrt.64 (sqrt.64 (/.f64 #s(literal -2 binary64) x))) (sqrt.64 (sqrt.64 (/.f64 #s(literal -2 binary64) x))))
(*.f64 (pow.64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.64 (/.f64 #s(literal -1 binary64) x)) (sqrt.64 #s(literal 2 binary64)))
(*.f64 (pow.64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)) (sqrt.64 #s(literal 2 binary64)))
(*.f64 (pow.64 #s(literal -2 binary64) #s(literal 1/2 binary64)) (pow.64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.64 #s(literal -2 binary64)) (sqrt.64 (/.f64 #s(literal -1 binary64) x)))
(*.f64 (sqrt.64 #s(literal 2 binary64)) (sqrt.64 (/.f64 #s(literal -1 binary64) x)))
(*.f64 (sqrt.64 #s(literal 2 binary64)) (pow.64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))
(fabs.64 (neg.f64 (neg.f64 (sqrt.64 (/.f64 #s(literal -2 binary64) x)))))
(fabs.64 (neg.f64 (sqrt.64 (/.f64 #s(literal -2 binary64) x))))
(fabs.64 (sqrt.64 (/.f64 #s(literal -2 binary64) x)))
(/.f64 (sqrt.64 #s(literal -2 binary64)) (sqrt.64 x))
(/.f64 (sqrt.64 #s(literal 2 binary64)) (sqrt.64 x))
(pow.64 (/.f64 #s(literal -2 binary64) x) #s(literal 1/2 binary64))
(sqrt.64 (/.f64 #s(literal -2 binary64) x))
(exp.64 (*.f64 (log.64 (/.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.64 (/.f64 #s(literal -2 binary64) x))) (neg.f64 (sqrt.64 (/.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.64 (/.f64 #s(literal -2 binary64) x)) (sqrt.64 (/.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))
(fabs.64 (*.f64 (neg.f64 (sqrt.64 (/.f64 #s(literal -2 binary64) x))) (sqrt.64 (/.f64 #s(literal -2 binary64) x))))
(fabs.64 (*.f64 (sqrt.64 (/.f64 #s(literal -2 binary64) x)) (neg.f64 (sqrt.64 (/.f64 #s(literal -2 binary64) x)))))
(fabs.64 (/.f64 #s(literal -2 binary64) x))
(/.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.64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) (pow.64 (/.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))
(pow.64 (*.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64))
(pow.64 (sqrt.64 (/.f64 #s(literal -2 binary64) x)) #s(literal 2 binary64))
(pow.64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))
(sqrt.64 (*.f64 (/.f64 #s(literal -2 binary64) x) (/.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.64 (sqrt.64 x)) (sqrt.64 (sqrt.64 x)))
(*.f64 (pow.64 x (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.64 x (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(fabs.64 (neg.f64 (neg.f64 (sqrt.64 x))))
(fabs.64 (neg.f64 (sqrt.64 x)))
(fabs.64 (sqrt.64 x))
(pow.64 x #s(literal 1/2 binary64))
(sqrt.64 x)
(exp.64 (*.f64 (log.64 x) #s(literal 1/2 binary64)))
#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.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.64 (*.f64 (sqrt.64 #s(literal 2 binary64)) x)) (sqrt.64 (*.f64 (sqrt.64 #s(literal 2 binary64)) x)))
(*.f64 (pow.64 (*.f64 (-.f64 x x) x) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.64 (*.f64 (-.f64 x x) x) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (sqrt.64 #s(literal 2 binary64))) x)
(*.f64 (neg.f64 (sqrt.64 (-.f64 x x))) (sqrt.64 x))
(*.f64 (neg.f64 (sqrt.64 x)) (sqrt.64 (-.f64 x x)))
(*.f64 (sqrt.64 (*.f64 x x)) (sqrt.64 #s(literal 2 binary64)))
(*.f64 (pow.64 (*.f64 x x) #s(literal 1/2 binary64)) (sqrt.64 #s(literal 2 binary64)))
(*.f64 (pow.64 #s(literal -2 binary64) #s(literal 1/2 binary64)) (pow.64 (*.f64 x x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.64 #s(literal -2 binary64)) (sqrt.64 (*.f64 x x)))
(*.f64 (sqrt.64 (-.f64 x x)) (neg.f64 (sqrt.64 x)))
(*.f64 (sqrt.64 (-.f64 x x)) (sqrt.64 x))
(*.f64 (sqrt.64 #s(literal 2 binary64)) (sqrt.64 (*.f64 x x)))
(*.f64 (sqrt.64 #s(literal 2 binary64)) (pow.64 (*.f64 x x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.64 #s(literal 2 binary64)) x)
(*.f64 (sqrt.64 x) (neg.f64 (sqrt.64 (-.f64 x x))))
(*.f64 (sqrt.64 x) (sqrt.64 (-.f64 x x)))
(*.f64 x (neg.f64 (sqrt.64 #s(literal 2 binary64))))
(*.f64 x (sqrt.64 #s(literal 2 binary64)))
(fabs.64 (*.f64 (neg.f64 (sqrt.64 (-.f64 x x))) (neg.f64 (sqrt.64 x))))
(fabs.64 (*.f64 (neg.f64 (sqrt.64 x)) (neg.f64 (sqrt.64 (-.f64 x x)))))
(fabs.64 (*.f64 (sqrt.64 #s(literal 2 binary64)) x))
(neg.f64 (*.f64 (sqrt.64 #s(literal 2 binary64)) x))
(pow.64 (*.f64 (-.f64 x x) x) #s(literal 1/2 binary64))
(sqrt.64 (*.f64 (-.f64 x x) x))
(hypot.f64 x x)
(exp.64 (*.f64 (log.64 (*.f64 (-.f64 x x) x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.64 (sqrt.64 (-.f64 x x))) (sqrt.64 (sqrt.64 (-.f64 x x))))
(*.f64 (pow.64 (-.f64 x x) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.64 (-.f64 x x) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.64 #s(literal -2 binary64) #s(literal 1/2 binary64)) (sqrt.64 x))
(*.f64 (sqrt.64 #s(literal -2 binary64)) (sqrt.64 x))
(*.f64 (sqrt.64 #s(literal 2 binary64)) (sqrt.64 x))
(*.f64 (sqrt.64 x) (pow.64 #s(literal -2 binary64) #s(literal 1/2 binary64)))
(*.f64 (sqrt.64 x) (sqrt.64 #s(literal -2 binary64)))
(*.f64 (sqrt.64 x) (sqrt.64 #s(literal 2 binary64)))
(fabs.64 (neg.f64 (neg.f64 (sqrt.64 (-.f64 x x)))))
(fabs.64 (*.f64 (neg.f64 (sqrt.64 #s(literal 2 binary64))) (neg.f64 (sqrt.64 x))))
(fabs.64 (*.f64 (neg.f64 (sqrt.64 x)) (neg.f64 (sqrt.64 #s(literal 2 binary64)))))
(fabs.64 (neg.f64 (sqrt.64 (-.f64 x x))))
(fabs.64 (sqrt.64 (-.f64 x x)))
(pow.64 (-.f64 x x) #s(literal 1/2 binary64))
(sqrt.64 (-.f64 x x))
(exp.64 (*.f64 (log.64 (-.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (sqrt.64 (-.f64 x x)) (sqrt.64 #s(literal 2 binary64))) (sqrt.64 x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x x)) x)
(*.f64 (neg.f64 (sqrt.64 (-.f64 x x))) (neg.f64 (sqrt.64 (-.f64 x x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x x)) x)
(*.f64 #s(literal 1 binary64) (-.f64 x x))
(*.f64 (sqrt.64 (-.f64 x x)) (sqrt.64 (-.f64 x x)))
(*.f64 (sqrt.64 #s(literal 2 binary64)) (*.f64 (sqrt.64 #s(literal 2 binary64)) x))
(*.f64 #s(literal -2 binary64) x)
(*.f64 (*.f64 (sqrt.64 #s(literal 2 binary64)) x) (sqrt.64 #s(literal 2 binary64)))
(*.f64 (sqrt.64 x) (*.f64 (sqrt.64 #s(literal 2 binary64)) (sqrt.64 (-.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))
(fabs.64 (*.f64 (neg.f64 (sqrt.64 (-.f64 x x))) (sqrt.64 (-.f64 x x))))
(fabs.64 (*.f64 (sqrt.64 (-.f64 x x)) (neg.f64 (sqrt.64 (-.f64 x x)))))
(fabs.64 (-.f64 x x))
(/.f64 (-.f64 (pow.64 x #s(literal 3 binary64)) (pow.64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 (-.f64 x x) x)))
(/.f64 (+.f64 (pow.64 x #s(literal 3 binary64)) (pow.64 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)))
(pow.64 (*.f64 (-.f64 x x) (-.f64 x x)) #s(literal 1/2 binary64))
(pow.64 (sqrt.64 (-.f64 x x)) #s(literal 2 binary64))
(pow.64 (-.f64 x x) #s(literal 1 binary64))
(-.f64 x (*.f64 #s(literal -1 binary64) x))
(-.f64 x x)
(sqrt.64 (*.f64 (-.f64 x x) (-.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.64 (sqrt.64 x)) (sqrt.64 (sqrt.64 x)))
(*.f64 (pow.64 x (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.64 x (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(fabs.64 (neg.f64 (neg.f64 (sqrt.64 x))))
(fabs.64 (neg.f64 (sqrt.64 x)))
(fabs.64 (sqrt.64 x))
(pow.64 x #s(literal 1/2 binary64))
(sqrt.64 x)
(exp.64 (*.f64 (log.64 x) #s(literal 1/2 binary64)))
x
(*.f64 (sqrt.64 (*.f64 (sqrt.64 #s(literal 2 binary64)) x)) (sqrt.64 (*.f64 (sqrt.64 #s(literal 2 binary64)) x)))
(*.f64 (pow.64 (*.f64 (-.f64 x x) x) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.64 (*.f64 (-.f64 x x) x) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (sqrt.64 #s(literal 2 binary64))) x)
(*.f64 (neg.f64 (sqrt.64 (-.f64 x x))) (sqrt.64 x))
(*.f64 (neg.f64 (sqrt.64 x)) (sqrt.64 (-.f64 x x)))
(*.f64 (sqrt.64 (*.f64 x x)) (sqrt.64 #s(literal 2 binary64)))
(*.f64 (pow.64 (*.f64 x x) #s(literal 1/2 binary64)) (sqrt.64 #s(literal 2 binary64)))
(*.f64 (pow.64 #s(literal -2 binary64) #s(literal 1/2 binary64)) (pow.64 (*.f64 x x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.64 #s(literal -2 binary64)) (sqrt.64 (*.f64 x x)))
(*.f64 (sqrt.64 (-.f64 x x)) (neg.f64 (sqrt.64 x)))
(*.f64 (sqrt.64 (-.f64 x x)) (sqrt.64 x))
(*.f64 (sqrt.64 #s(literal 2 binary64)) (sqrt.64 (*.f64 x x)))
(*.f64 (sqrt.64 #s(literal 2 binary64)) (pow.64 (*.f64 x x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.64 #s(literal 2 binary64)) x)
(*.f64 (sqrt.64 x) (neg.f64 (sqrt.64 (-.f64 x x))))
(*.f64 (sqrt.64 x) (sqrt.64 (-.f64 x x)))
(*.f64 x (neg.f64 (sqrt.64 #s(literal 2 binary64))))
(*.f64 x (sqrt.64 #s(literal 2 binary64)))
(fabs.64 (*.f64 (neg.f64 (sqrt.64 (-.f64 x x))) (neg.f64 (sqrt.64 x))))
(fabs.64 (*.f64 (neg.f64 (sqrt.64 x)) (neg.f64 (sqrt.64 (-.f64 x x)))))
(fabs.64 (*.f64 (sqrt.64 #s(literal 2 binary64)) x))
(neg.f64 (*.f64 (sqrt.64 #s(literal 2 binary64)) x))
(pow.64 (*.f64 (-.f64 x x) x) #s(literal 1/2 binary64))
(sqrt.64 (*.f64 (-.f64 x x) x))
(hypot.f64 x x)
(exp.64 (*.f64 (log.64 (*.f64 (-.f64 x x) x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.64 (sqrt.64 (-.f64 x x))) (sqrt.64 (sqrt.64 (-.f64 x x))))
(*.f64 (pow.64 (-.f64 x x) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.64 (-.f64 x x) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.64 #s(literal -2 binary64) #s(literal 1/2 binary64)) (sqrt.64 x))
(*.f64 (sqrt.64 #s(literal -2 binary64)) (sqrt.64 x))
(*.f64 (sqrt.64 #s(literal 2 binary64)) (sqrt.64 x))
(*.f64 (sqrt.64 x) (pow.64 #s(literal -2 binary64) #s(literal 1/2 binary64)))
(*.f64 (sqrt.64 x) (sqrt.64 #s(literal -2 binary64)))
(*.f64 (sqrt.64 x) (sqrt.64 #s(literal 2 binary64)))
(fabs.64 (neg.f64 (neg.f64 (sqrt.64 (-.f64 x x)))))
(fabs.64 (*.f64 (neg.f64 (sqrt.64 #s(literal 2 binary64))) (neg.f64 (sqrt.64 x))))
(fabs.64 (*.f64 (neg.f64 (sqrt.64 x)) (neg.f64 (sqrt.64 #s(literal 2 binary64)))))
(fabs.64 (neg.f64 (sqrt.64 (-.f64 x x))))
(fabs.64 (sqrt.64 (-.f64 x x)))
(pow.64 (-.f64 x x) #s(literal 1/2 binary64))
(sqrt.64 (-.f64 x x))
(exp.64 (*.f64 (log.64 (-.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.64 (sqrt.64 #s(literal 2 binary64))) (sqrt.64 (sqrt.64 #s(literal 2 binary64))))
(*.f64 (pow.64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.64 #s(literal 2 binary64)) (sqrt.64 #s(literal 1 binary64)))
(*.f64 (sqrt.64 #s(literal 2 binary64)) (pow.64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(fabs.64 (neg.f64 (neg.f64 (sqrt.64 #s(literal 2 binary64)))))
(fabs.64 (neg.f64 (sqrt.64 #s(literal 2 binary64))))
(fabs.64 (sqrt.64 #s(literal 2 binary64)))
(pow.64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(sqrt.64 #s(literal 2 binary64))
(exp.64 (*.f64 (log.64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))

eval26.0ms (1.0%)

Memory
-10.0MiB live, 83.0MiB allocated; 7ms collecting garbage
Compiler

Compiled 2 712 to 668 computations (75.4% saved)

prune5.0ms (0.2%)

Memory
15.4MiB live, 15.4MiB 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.64 x) (sqrt.64 #s(literal 2 binary64))) (sqrt.64 x))
99.5%
(*.f64 (sqrt.64 (+.f64 x x)) (sqrt.64 x))
0.0%
(*.f64 (sqrt.64 (*.f64 #s(literal -2 binary64) x)) (sqrt.64 (neg.f64 x)))
99.3%
(*.f64 #s(approx (sqrt (+ x x)) (*.f64 x (sqrt.64 (/.f64 #s(literal 2 binary64) x)))) (sqrt.64 x))
99.2%
(*.f64 #s(literal 6369051672525773/4503599627370496 binary64) (fabs.64 x))
54.7%
(sqrt.64 (*.f64 (+.f64 x x) x))
99.2%
#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.f64 x #s(literal 6369051672525773/4503599627370496 binary64)))
Compiler

Compiled 62 to 46 computations (25.8% saved)

regimes59.0ms (2.2%)

Memory
-6.0MiB live, 132.1MiB allocated; 16ms collecting garbage
Counts
5 → 1
9 → 1
11 → 1
Calls
Call 1
Inputs
#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.f64 x #s(literal 6369051672525773/4503599627370496 binary64)))
(*.f64 #s(literal 6369051672525773/4503599627370496 binary64) (fabs.64 x))
#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.f64 x (sqrt.64 #s(literal 2 binary64))))
(*.f64 (sqrt.64 #s(literal 2 binary64)) (fabs.64 x))
(sqrt.64 (*.f64 (+.f64 x x) x))
Outputs
#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.f64 x #s(literal 6369051672525773/4503599627370496 binary64)))
Call 2
Inputs
#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.f64 x #s(literal 6369051672525773/4503599627370496 binary64)))
(*.f64 #s(literal 6369051672525773/4503599627370496 binary64) (fabs.64 x))
#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.f64 x (sqrt.64 #s(literal 2 binary64))))
(*.f64 (sqrt.64 #s(literal 2 binary64)) (fabs.64 x))
(sqrt.64 (*.f64 (+.f64 x x) x))
(*.f64 (sqrt.64 (+.f64 x x)) (sqrt.64 x))
(*.f64 (sqrt.64 (*.f64 #s(literal -2 binary64) x)) (sqrt.64 (neg.f64 x)))
(*.f64 (*.f64 (sqrt.64 x) (sqrt.64 #s(literal 2 binary64))) (sqrt.64 x))
(*.f64 #s(approx (sqrt (+ x x)) (*.f64 x (sqrt.64 (/.f64 #s(literal 2 binary64) x)))) (sqrt.64 x))
Outputs
(*.f64 (sqrt.64 (+.f64 x x)) (sqrt.64 x))
Call 3
Inputs
#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.f64 x #s(literal 6369051672525773/4503599627370496 binary64)))
(*.f64 #s(literal 6369051672525773/4503599627370496 binary64) (fabs.64 x))
#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.f64 x (sqrt.64 #s(literal 2 binary64))))
(*.f64 (sqrt.64 #s(literal 2 binary64)) (fabs.64 x))
(sqrt.64 (*.f64 (+.f64 x x) x))
(*.f64 (sqrt.64 (+.f64 x x)) (sqrt.64 x))
(*.f64 (sqrt.64 (*.f64 #s(literal -2 binary64) x)) (sqrt.64 (neg.f64 x)))
(*.f64 (*.f64 (sqrt.64 x) (sqrt.64 #s(literal 2 binary64))) (sqrt.64 x))
(*.f64 #s(approx (sqrt (+ x x)) (*.f64 x (sqrt.64 (/.f64 #s(literal 2 binary64) x)))) (sqrt.64 x))
(hypot.f64 x x)
(sqrt.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 x #s(literal 2 binary64))))
Outputs
(hypot.f64 x x)
Calls

12 calls:

15.0ms
(pow.64 x #s(literal 2 binary64))
8.0ms
(+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 x #s(literal 2 binary64)))
5.0ms
(sqrt.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 x #s(literal 2 binary64))))
4.0ms
x
3.0ms
(sqrt.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 x #s(literal 2 binary64))))
Results
AccuracySegmentsBranch
99.2%1(pow.64 x #s(literal 2 binary64))
99.2%1(+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 x #s(literal 2 binary64)))
99.2%1(sqrt.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 x #s(literal 2 binary64))))
99.2%1x
99.5%1(pow.64 x #s(literal 2 binary64))
99.5%1(+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 x #s(literal 2 binary64)))
99.5%1(sqrt.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 x #s(literal 2 binary64))))
99.5%1x
100.0%1(pow.64 x #s(literal 2 binary64))
100.0%1(+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 x #s(literal 2 binary64)))
100.0%1(sqrt.64 (+.f64 (pow.64 x #s(literal 2 binary64)) (pow.64 x #s(literal 2 binary64))))
100.0%1x
Compiler

Compiled 145 to 79 computations (45.5% saved)

derivations52.0ms (1.9%)

Memory
20.5MiB live, 62.8MiB allocated; 12ms collecting garbage
Stop Event
done
Compiler

Compiled 22 to 13 computations (40.9% saved)

preprocess55.0ms (2.0%)

Memory
-25.6MiB live, 83.1MiB allocated; 32ms collecting garbage
Symmetry

(abs x)

Compiler

Compiled 80 to 49 computations (38.8% saved)

end0.0ms (0.0%)

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

Profiling

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