Data.Octree.Internal:octantDistance from Octree-0.5.4.2

Time bar (total: 1.3s)

start0.0ms (0.0%)

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

analyze0.0ms (0.0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0.0%0.0%99.9%0.1%0.0%0.0%0.0%0
100.0%99.9%0.0%0.1%0.0%0.0%0.0%1
Compiler

Compiled 10 to 5 computations (50.0% saved)

sample555.0ms (42.6%)

Memory
-24.0MiB live, 738.7MiB allocated; 173ms collecting garbage
Samples
400.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 241.0ms
ival-hypot: 239.0ms (99.4% of total)
adjust: 1.0ms (0.4% of total)
Bogosity

preprocess37.0ms (2.8%)

Memory
-11.9MiB live, 39.3MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01850
16250
215750
322650
452050
5274750
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.8%
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))
Symmetry

(abs x)

(abs y)

(sort x y)

Compiler

Compiled 16 to 12 computations (25.0% saved)

sample0.0ms (0.0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
Outputs

series14.0ms (1.1%)

Memory
27.3MiB live, 27.3MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0139631
Stop Event
iter-limit
Counts
6 → 29
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))
(+.f64 (*.f64 x x) (*.f64 y y))
(*.f64 x x)
x
(*.f64 y y)
y
Outputs
#s(approx (sqrt (+ (* x x) (* y y))) (sqrt.f64 (pow.f64 y #s(literal 2 binary64))))
#s(approx (sqrt (+ (* x x) (* y y))) (+.f64 (sqrt.f64 (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* x x) (* y y))) (+.f64 (sqrt.f64 (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 y #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* x x) (* y y))) (+.f64 (sqrt.f64 (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 y #s(literal 2 binary64)))))))))
#s(approx (+ (* x x) (* y y)) (pow.f64 y #s(literal 2 binary64)))
#s(approx (+ (* x x) (* y y)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx x x)
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (+ (* x x) (* y y)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 #s(literal -1 binary64) x))
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (sqrt (+ (* x x) (* y y))) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))
#s(approx (sqrt (+ (* x x) (* y y))) (+.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* x x) (* y y))) (+.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* x x) (* y y))) (+.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx y y)
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))))
#s(approx (+ (* x x) (* y y)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 #s(literal -1 binary64) y))
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))))))
Calls

6 calls:

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

rewrite119.0ms (9.2%)

Memory
-4.1MiB live, 183.0MiB allocated; 18ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0623
01023
14623
216423
348223
4105223
0420616
Stop Event
iter-limit
node-limit
iter-limit
Counts
6 → 610
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))
(+.f64 (*.f64 x x) (*.f64 y y))
(*.f64 x x)
x
(*.f64 y y)
y
Outputs
(*.f64 (pow.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (fma.f64 y y (*.f64 x x))) (/.f64 #s(literal 1/4 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (fma.f64 y y (*.f64 x x))) (/.f64 #s(literal 1/4 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (neg.f64 (fma.f64 y y (*.f64 x x))) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (fma.f64 y y (*.f64 x x))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x)))) (fma.f64 y y (*.f64 x x))) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x)))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x)))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x)))) (fma.f64 y y (*.f64 x x))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x))) (fma.f64 y y (*.f64 x x))) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x))) (fma.f64 y y (*.f64 x x))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x))))) (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x))))))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x)))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x)))) (sqrt.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x)))))
(*.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (fma.f64 y y (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x))) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 0 binary64)))
(pow.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 4 binary64)) #s(literal 1/8 binary64))
(pow.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (fma.f64 y y (*.f64 x x))) #s(literal 1/4 binary64))
(pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1/2 binary64))
(neg.f64 (neg.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x)))))
(sqrt.f64 (fma.f64 y y (*.f64 x x)))
(fabs.f64 (neg.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x)))))
(fabs.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (fma.f64 y y (*.f64 x x)))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y y (*.f64 x x))) #s(literal 1/2 binary64)))
(hypot.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 x)))
(hypot.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 x))
(hypot.f64 (neg.f64 (fabs.f64 y)) (neg.f64 x))
(hypot.f64 (neg.f64 (fabs.f64 y)) x)
(hypot.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 y)))
(hypot.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 y))
(hypot.f64 (neg.f64 (fabs.f64 x)) (neg.f64 y))
(hypot.f64 (neg.f64 (fabs.f64 x)) y)
(hypot.f64 (fabs.f64 y) (neg.f64 (fabs.f64 x)))
(hypot.f64 (fabs.f64 y) (fabs.f64 x))
(hypot.f64 (fabs.f64 y) (neg.f64 x))
(hypot.f64 (fabs.f64 y) x)
(hypot.f64 (fabs.f64 x) (neg.f64 (fabs.f64 y)))
(hypot.f64 (fabs.f64 x) (fabs.f64 y))
(hypot.f64 (fabs.f64 x) (neg.f64 y))
(hypot.f64 (fabs.f64 x) y)
(hypot.f64 (neg.f64 y) (neg.f64 (fabs.f64 x)))
(hypot.f64 (neg.f64 y) (fabs.f64 x))
(hypot.f64 (neg.f64 y) (neg.f64 x))
(hypot.f64 (neg.f64 y) x)
(hypot.f64 (neg.f64 x) (neg.f64 (fabs.f64 y)))
(hypot.f64 (neg.f64 x) (fabs.f64 y))
(hypot.f64 (neg.f64 x) (neg.f64 y))
(hypot.f64 (neg.f64 x) y)
(hypot.f64 y (neg.f64 (fabs.f64 x)))
(hypot.f64 y (fabs.f64 x))
(hypot.f64 y (neg.f64 x))
(hypot.f64 y x)
(hypot.f64 x (neg.f64 (fabs.f64 y)))
(hypot.f64 x (fabs.f64 y))
(hypot.f64 x (neg.f64 y))
(hypot.f64 x y)
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x)))) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x)))) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (neg.f64 (fma.f64 y y (*.f64 x x)))) (sqrt.f64 (neg.f64 (fma.f64 y y (*.f64 x x)))))
(*.f64 (sqrt.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x)))) (fma.f64 y y (*.f64 x x)))) (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x))))))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x))) (fma.f64 y y (*.f64 x x)))) (sqrt.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x)))))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x)))) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x))) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (fma.f64 y y (*.f64 x x))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (fma.f64 y y (*.f64 x x))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x)))) (fma.f64 y y (*.f64 x x))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x))) (fma.f64 y y (*.f64 x x))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (fma.f64 y y (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (fma.f64 y y (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x))) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x))) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (fma.f64 y y (*.f64 x x)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x))))) (sqrt.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x)))) (fma.f64 y y (*.f64 x x)))))
(*.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 0 binary64)) (fma.f64 y y (*.f64 x x)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x)))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x)))) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x)))))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x))) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 y y (*.f64 x x))))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x)))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x)))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x)))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x)))) (fma.f64 y y (*.f64 x x))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x))) (fma.f64 y y (*.f64 x x))) #s(literal 1/2 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) (*.f64 y y))
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y

eval72.0ms (5.5%)

Memory
-13.0MiB live, 124.1MiB allocated; 13ms collecting garbage
Compiler

Compiled 11 732 to 1 852 computations (84.2% saved)

prune10.0ms (0.7%)

Memory
17.9MiB live, 17.9MiB allocated; 0ms collecting garbage
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New6304634
Fresh000
Picked101
Done000
Total6314635
Accuracy
100.0%
Counts
635 → 4
Alt Table
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StatusAccuracyProgram
100.0%
(hypot.f64 y x)
57.8%
(sqrt.f64 (fma.f64 x x (*.f64 y y)))
1.3%
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 #s(literal -1 binary64) y))
1.9%
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 #s(literal -1 binary64) x))
Compiler

Compiled 34 to 26 computations (23.5% saved)

sample0.0ms (0.0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
-1
Outputs
#s(literal -1 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)

series11.0ms (0.8%)

Memory
17.6MiB live, 17.6MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0139634
Stop Event
iter-limit
Counts
11 → 29
Calls
Call 1
Inputs
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal -1 binary64) y)
y
(sqrt.f64 (fma.f64 x x (*.f64 y y)))
(fma.f64 x x (*.f64 y y))
(*.f64 y y)
(hypot.f64 y x)
Outputs
#s(approx (sqrt (+ (* x x) (* y y))) (sqrt.f64 (pow.f64 y #s(literal 2 binary64))))
#s(approx (sqrt (+ (* x x) (* y y))) (+.f64 (sqrt.f64 (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* x x) (* y y))) (+.f64 (sqrt.f64 (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 y #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* x x) (* y y))) (+.f64 (sqrt.f64 (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 y #s(literal 2 binary64)))))))))
#s(approx (* -1 x) (*.f64 #s(literal -1 binary64) x))
#s(approx x x)
#s(approx (+ (* x x) (* y y)) (pow.f64 y #s(literal 2 binary64)))
#s(approx (+ (* x x) (* y y)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (+ (* x x) (* y y)) (pow.f64 x #s(literal 2 binary64)))
#s(approx (+ (* x x) (* y y)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (sqrt (+ (* x x) (* y y))) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))
#s(approx (sqrt (+ (* x x) (* y y))) (+.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* x x) (* y y))) (+.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* x x) (* y y))) (+.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (* -1 y) (*.f64 #s(literal -1 binary64) y))
#s(approx y y)
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))))
#s(approx (+ (* x x) (* y y)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))))))
Calls

6 calls:

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

rewrite101.0ms (7.7%)

Memory
5.5MiB live, 151.8MiB allocated; 10ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01550
02234
17834
224033
363033
4199533
0409033
Stop Event
iter-limit
node-limit
iter-limit
Counts
11 → 508
Calls
Call 1
Inputs
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal -1 binary64) y)
y
(sqrt.f64 (fma.f64 x x (*.f64 y y)))
(fma.f64 x x (*.f64 y y))
(*.f64 y y)
(hypot.f64 y x)
Outputs
#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 x))
(*.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (neg.f64 x))
(*.f64 (neg.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (neg.f64 x)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) #s(literal 2 binary64))
(neg.f64 x)
(fma.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 (neg.f64 x) #s(literal 0 binary64)))
(fma.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) (neg.f64 x)))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) (*.f64 #s(literal 0 binary64) (neg.f64 x)))
(fma.f64 (neg.f64 x) #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 0 binary64)))
(fma.f64 (neg.f64 x) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (neg.f64 x)))
(fma.f64 (neg.f64 x) #s(literal 1/2 binary64) (*.f64 (neg.f64 x) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 x) (*.f64 #s(literal 1/2 binary64) (neg.f64 x)))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (neg.f64 x)) (*.f64 #s(literal 0 binary64) (neg.f64 x)))
(fma.f64 #s(literal -1 binary64) x (*.f64 (neg.f64 x) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal 0 binary64) (neg.f64 x)))
(fma.f64 x #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(literal 0 binary64)))
(fma.f64 x #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) (neg.f64 x)))
(+.f64 (*.f64 (neg.f64 x) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 x)) (*.f64 #s(literal 1/2 binary64) (neg.f64 x)))
(+.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 0 binary64)))
(+.f64 (neg.f64 x) (*.f64 #s(literal 0 binary64) (neg.f64 x)))
#s(literal -1 binary64)
x
#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 y))
(*.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (neg.f64 y))
(*.f64 (neg.f64 y) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (neg.f64 y)))
(*.f64 #s(literal -1 binary64) y)
(*.f64 y #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 y)) #s(literal 2 binary64))
(neg.f64 y)
(fma.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 (neg.f64 y) #s(literal 0 binary64)))
(fma.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) (neg.f64 y)))
(fma.f64 #s(literal 1 binary64) (neg.f64 y) (*.f64 (neg.f64 y) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (neg.f64 y) (*.f64 #s(literal 0 binary64) (neg.f64 y)))
(fma.f64 (neg.f64 y) #s(literal 1 binary64) (*.f64 (neg.f64 y) #s(literal 0 binary64)))
(fma.f64 (neg.f64 y) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (neg.f64 y)))
(fma.f64 (neg.f64 y) #s(literal 1/2 binary64) (*.f64 (neg.f64 y) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 y) (*.f64 #s(literal 1/2 binary64) (neg.f64 y)))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (neg.f64 y)) (*.f64 (neg.f64 y) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (neg.f64 y)) (*.f64 #s(literal 0 binary64) (neg.f64 y)))
(fma.f64 #s(literal -1 binary64) y (*.f64 (neg.f64 y) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) y (*.f64 #s(literal 0 binary64) (neg.f64 y)))
(fma.f64 y #s(literal -1 binary64) (*.f64 (neg.f64 y) #s(literal 0 binary64)))
(fma.f64 y #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) (neg.f64 y)))
(+.f64 (*.f64 (neg.f64 y) #s(literal 1/2 binary64)) (*.f64 (neg.f64 y) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 y)) (*.f64 #s(literal 1/2 binary64) (neg.f64 y)))
(+.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal 0 binary64)))
(+.f64 (neg.f64 y) (*.f64 #s(literal 0 binary64) (neg.f64 y)))
y
(*.f64 (sqrt.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x)))))) (sqrt.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x)))))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x)))))) (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x))))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 y y (*.f64 x x))))) (sqrt.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 y y (*.f64 x x))))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 y y (*.f64 x x))))) (sqrt.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x)))))
(*.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x)))))) (sqrt.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x)))))))
(*.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 y y (*.f64 x x))))) (sqrt.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 y y (*.f64 x x))))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y y (*.f64 x x)))))
(*.f64 (pow.f64 (neg.f64 (fma.f64 y y (*.f64 x x))) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (fma.f64 y y (*.f64 x x))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x)))) (fma.f64 y y (*.f64 x x))) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x)))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x)))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x)))) (fma.f64 y y (*.f64 x x))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (sqrt.f64 (fma.f64 y y (*.f64 x x)))) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (sqrt.f64 (fma.f64 y y (*.f64 x x)))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x))))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x))))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x))))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 y y (*.f64 x x)))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 y y (*.f64 x x)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 y y (*.f64 x x)))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x))))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x))))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 y y (*.f64 x x)))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 y y (*.f64 x x)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 y y (*.f64 x x))))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (neg.f64 (fma.f64 y y (*.f64 x x))) (fma.f64 y y (*.f64 x x))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y y (*.f64 x x))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x))))) (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x))))))
(*.f64 (sqrt.f64 (neg.f64 (fma.f64 y y (*.f64 x x)))) (sqrt.f64 #s(literal -1 binary64)))
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(fma.f64 (*.f64 y y) #s(literal 1/2 binary64) (*.f64 (*.f64 y y) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) y) (*.f64 (*.f64 y y) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) y) (*.f64 #s(literal 0 binary64) (*.f64 y y)))
(fma.f64 y y (*.f64 (*.f64 y y) #s(literal 0 binary64)))
(fma.f64 y y (*.f64 #s(literal 0 binary64) (*.f64 y y)))
(sqrt.f64 (*.f64 (*.f64 (*.f64 y y) y) y))
(fabs.f64 (*.f64 (neg.f64 y) (neg.f64 (fabs.f64 y))))
(fabs.f64 (*.f64 y (neg.f64 (fabs.f64 y))))
(fabs.f64 (*.f64 (neg.f64 y) (fabs.f64 y)))
(fabs.f64 (*.f64 y (fabs.f64 y)))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 y)))
(fabs.f64 (*.f64 (fabs.f64 y) (neg.f64 y)))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 y)) y))
(fabs.f64 (*.f64 (fabs.f64 y) y))
(fabs.f64 (*.f64 (neg.f64 y) y))
(fabs.f64 (*.f64 y y))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (*.f64 y y) y) y)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 (fabs.f64 y))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 y y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (fabs.f64 y)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(+.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 (*.f64 y y) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) (*.f64 #s(literal 1/2 binary64) (*.f64 y y)))
(+.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 0 binary64)))
(+.f64 (*.f64 y y) (*.f64 #s(literal 0 binary64) (*.f64 y y)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x)))))) (sqrt.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x)))))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x)))))) (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x))))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 y y (*.f64 x x))))) (sqrt.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 y y (*.f64 x x))))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 y y (*.f64 x x))))) (sqrt.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x)))))
(*.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x)))))) (sqrt.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x)))))))
(*.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 y y (*.f64 x x))))) (sqrt.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 y y (*.f64 x x))))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y y (*.f64 x x)))))
(*.f64 (pow.f64 (neg.f64 (fma.f64 y y (*.f64 x x))) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (fma.f64 y y (*.f64 x x))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x)))) (fma.f64 y y (*.f64 x x))) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x)))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x)))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x)))) (fma.f64 y y (*.f64 x x))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (sqrt.f64 (fma.f64 y y (*.f64 x x)))) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (sqrt.f64 (fma.f64 y y (*.f64 x x)))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x))))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x))))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x))))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 y y (*.f64 x x)))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 y y (*.f64 x x)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 y y (*.f64 x x)))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x))))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x))))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 y y (*.f64 x x)))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 y y (*.f64 x x)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 y y (*.f64 x x))))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (neg.f64 (fma.f64 y y (*.f64 x x))) (fma.f64 y y (*.f64 x x))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y y (*.f64 x x))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x))))) (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x))))))
(*.f64 (sqrt.f64 (neg.f64 (fma.f64 y y (*.f64 x x)))) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x)))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 y y (*.f64 x x))))
(*.f64 (pow.f64 (neg.f64 (fma.f64 y y (*.f64 x x))) #s(literal 1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (fma.f64 y y (*.f64 x x))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x)))) (sqrt.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x)))))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (fma.f64 y y (*.f64 x x)))))
(*.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 (fma.f64 y y (*.f64 x x))))
(*.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (fma.f64 y y (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x))) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 0 binary64)))
(*.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x))) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x))) (sqrt.f64 #s(literal 1 binary64)))
(pow.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (fma.f64 y y (*.f64 x x))) #s(literal 1/4 binary64))
(pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 y y (*.f64 x x)))) (sqrt.f64 #s(literal 2 binary64)))
(neg.f64 (neg.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x)))))
(sqrt.f64 (fma.f64 y y (*.f64 x x)))
(fabs.f64 (neg.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x)))))
(fabs.f64 (sqrt.f64 (fma.f64 y y (*.f64 x x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (fma.f64 y y (*.f64 x x)))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y y (*.f64 x x))) #s(literal 1/2 binary64)))
(hypot.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 x)))
(hypot.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 x))
(hypot.f64 (neg.f64 (fabs.f64 y)) (neg.f64 x))
(hypot.f64 (neg.f64 (fabs.f64 y)) x)
(hypot.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 y)))
(hypot.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 y))
(hypot.f64 (neg.f64 (fabs.f64 x)) (neg.f64 y))
(hypot.f64 (neg.f64 (fabs.f64 x)) y)
(hypot.f64 (fabs.f64 y) (neg.f64 (fabs.f64 x)))
(hypot.f64 (fabs.f64 y) (fabs.f64 x))
(hypot.f64 (fabs.f64 y) (neg.f64 x))
(hypot.f64 (fabs.f64 y) x)
(hypot.f64 (fabs.f64 x) (neg.f64 (fabs.f64 y)))
(hypot.f64 (fabs.f64 x) (fabs.f64 y))
(hypot.f64 (fabs.f64 x) (neg.f64 y))
(hypot.f64 (fabs.f64 x) y)
(hypot.f64 (neg.f64 y) (neg.f64 (fabs.f64 x)))
(hypot.f64 (neg.f64 y) (fabs.f64 x))
(hypot.f64 (neg.f64 y) (neg.f64 x))
(hypot.f64 (neg.f64 y) x)
(hypot.f64 (neg.f64 x) (neg.f64 (fabs.f64 y)))
(hypot.f64 (neg.f64 x) (fabs.f64 y))
(hypot.f64 (neg.f64 x) (neg.f64 y))
(hypot.f64 (neg.f64 x) y)
(hypot.f64 y (neg.f64 (fabs.f64 x)))
(hypot.f64 y (fabs.f64 x))
(hypot.f64 y (neg.f64 x))
(hypot.f64 y x)
(hypot.f64 x (neg.f64 (fabs.f64 y)))
(hypot.f64 x (fabs.f64 y))
(hypot.f64 x (neg.f64 y))
(hypot.f64 x y)

eval135.0ms (10.4%)

Memory
-59.3MiB live, 110.1MiB allocated; 141ms collecting garbage
Compiler

Compiled 6 963 to 1 370 computations (80.3% saved)

prune8.0ms (0.6%)

Memory
21.8MiB live, 21.8MiB allocated; 0ms collecting garbage
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New4542456
Fresh000
Picked224
Done000
Total4564460
Accuracy
100.0%
Counts
460 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(hypot.f64 y x)
57.8%
(sqrt.f64 (fma.f64 x x (*.f64 y y)))
1.3%
#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 y))
1.9%
#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 x))
Compiler

Compiled 32 to 24 computations (25.0% saved)

sample0.0ms (0.0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
Outputs

series10.0ms (0.8%)

Memory
-29.8MiB live, 16.7MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0131558
Stop Event
iter-limit
Counts
6 → 24
Calls
Call 1
Inputs
#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 x))
(neg.f64 x)
x
#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 y))
(neg.f64 y)
y
Outputs
#s(approx (sqrt (+ (* x x) (* y y))) (sqrt.f64 (pow.f64 y #s(literal 2 binary64))))
#s(approx (sqrt (+ (* x x) (* y y))) (+.f64 (sqrt.f64 (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* x x) (* y y))) (+.f64 (sqrt.f64 (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 y #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* x x) (* y y))) (+.f64 (sqrt.f64 (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 y #s(literal 2 binary64)))))))))
#s(approx (neg x) (*.f64 #s(literal -1 binary64) x))
#s(approx x x)
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (sqrt (+ (* x x) (* y y))) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))
#s(approx (sqrt (+ (* x x) (* y y))) (+.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* x x) (* y y))) (+.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* x x) (* y y))) (+.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (neg y) (*.f64 #s(literal -1 binary64) y))
#s(approx y y)
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))))))
Calls

6 calls:

TimeVariablePoint
0.0ms
x
-inf
0.0ms
y
-inf
0.0ms
x
inf
0.0ms
y
inf
0.0ms
x
0

rewrite99.0ms (7.6%)

Memory
29.5MiB live, 176.5MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01028
01228
14628
216428
348228
4105228
0420518
Stop Event
iter-limit
node-limit
iter-limit
Counts
6 → 6
Calls
Call 1
Inputs
#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 x))
(neg.f64 x)
x
#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 y))
(neg.f64 y)
y
Outputs
#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 x))
(neg.f64 x)
x
#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 y))
(neg.f64 y)
y

eval3.0ms (0.2%)

Memory
4.8MiB live, 4.8MiB allocated; 0ms collecting garbage
Compiler

Compiled 696 to 129 computations (81.5% saved)

prune2.0ms (0.1%)

Memory
2.7MiB live, 2.7MiB allocated; 0ms collecting garbage
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New24024
Fresh000
Picked022
Done022
Total24428
Accuracy
100.0%
Counts
28 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(hypot.f64 y x)
57.8%
(sqrt.f64 (fma.f64 x x (*.f64 y y)))
1.3%
#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 y))
1.9%
#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 x))
Compiler

Compiled 32 to 24 computations (25.0% saved)

regimes51.0ms (3.9%)

Memory
-36.5MiB live, 107.2MiB allocated; 6ms collecting garbage
Counts
4 → 1
6 → 1
7 → 1
Calls
Call 1
Inputs
#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 x))
#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 y))
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 #s(literal -1 binary64) x))
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 #s(literal -1 binary64) y))
Outputs
#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 x))
Call 2
Inputs
#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 x))
#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 y))
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 #s(literal -1 binary64) x))
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 #s(literal -1 binary64) y))
(sqrt.f64 (fma.f64 x x (*.f64 y y)))
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))
Outputs
(sqrt.f64 (fma.f64 x x (*.f64 y y)))
Call 3
Inputs
#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 x))
#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 y))
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 #s(literal -1 binary64) x))
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 #s(literal -1 binary64) y))
(sqrt.f64 (fma.f64 x x (*.f64 y y)))
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))
(hypot.f64 y x)
Outputs
(hypot.f64 y x)
Calls

18 calls:

5.0ms
y
4.0ms
x
3.0ms
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))
3.0ms
y
3.0ms
(*.f64 y y)
Results
AccuracySegmentsBranch
1.9%1y
1.9%1(*.f64 x x)
1.9%1x
1.9%1(*.f64 y y)
1.9%1(+.f64 (*.f64 x x) (*.f64 y y))
1.9%1(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))
57.8%1(*.f64 y y)
57.8%1(*.f64 x x)
57.8%1(+.f64 (*.f64 x x) (*.f64 y y))
57.8%1(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))
57.8%1x
57.8%1y
100.0%1(*.f64 y y)
100.0%1(*.f64 x x)
100.0%1(+.f64 (*.f64 x x) (*.f64 y y))
100.0%1(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))
100.0%1x
100.0%1y
Compiler

Compiled 133 to 85 computations (36.1% saved)

derivations44.0ms (3.4%)

Memory
0.7MiB live, 46.5MiB allocated; 5ms collecting garbage
Stop Event
done
Compiler

Compiled 21 to 12 computations (42.9% saved)

preprocess32.0ms (2.4%)

Memory
43.1MiB live, 82.0MiB allocated; 6ms collecting garbage
Symmetry

(sort x y)

Compiler

Compiled 201 to 142 computations (29.4% saved)

end0.0ms (0.0%)

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

Profiling

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