Data.Octree.Internal:octantDistance from Octree-0.5.4.2

Time bar (total: 1.9s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 10 to 5 computations (50% saved)

sample760.0ms (41%)

Memory
-3.6MiB live, 743.2MiB allocated; 188ms collecting garbage
Samples
496.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 292.0ms
ival-hypot: 291.0ms (99.6% of total)
adjust: 1.0ms (0.3% of total)
Bogosity

explain100.0ms (5.4%)

Memory
-18.1MiB live, 138.6MiB allocated; 54ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1200-1(1.286135619435671e-156 2.7109807630487663e-163)(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))
00-0-(+.f64 (*.f64 x x) (*.f64 y y))
00-0-y
00-0-(*.f64 y y)
00-0-(*.f64 x x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))oflow-rescue1100
(*.f64 y y)overflow58
(*.f64 x x)overflow70
(+.f64 (*.f64 x x) (*.f64 y y))overflow110
sqrt.f64(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))uflow-rescue90
(*.f64 y y)underflow60
(*.f64 x x)underflow53
(+.f64 (*.f64 x x) (*.f64 y y))underflow9
Confusion
Predicted +Predicted -
+1191
-0136
Precision
1.0
Recall
0.9916666666666667
Confusion?
Predicted +Predicted MaybePredicted -
+11901
-00136
Precision?
1.0
Recall?
0.9916666666666667
Freqs
test
numberfreq
0137
1119
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
53.0ms512×0valid
Compiler

Compiled 58 to 22 computations (62.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-hypot: 9.0ms (46.8% of total)
ival-mult!: 9.0ms (46.8% of total)
ival-add!: 1.0ms (5.2% of total)
adjust: 0.0ms (0% of total)

preprocess20.0ms (1.1%)

Memory
-2.5MiB live, 41.9MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01850
14350
29350
311850
415650
068
0108
1218
2608
31178
41548
01543
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))
Outputs
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))
(hypot.f64 y x)
Symmetry

(abs x)

(abs y)

(sort x y)

Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

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

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.7%
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))
Compiler

Compiled 8 to 6 computations (25% saved)

series6.0ms (0.3%)

Memory
15.0MiB live, 15.0MiB allocated; 0ms collecting garbage
Counts
6 → 31
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))) #s(hole binary64 y))
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (+ y (* 1/2 (/ (pow x 2) y)))))
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (+ y (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))))))
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (+ y (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))))))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (pow y 2)))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (+ (pow x 2) (pow y 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 x))
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (* x (+ 1 (* 1/2 (/ (pow y 2) (pow x 2)))))))
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (* 1/2 (/ (pow y 2) (pow x 2))))))))
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (+ (* 1/16 (/ (pow y 6) (pow x 6))) (* 1/2 (/ (pow y 2) (pow x 2)))))))))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))))
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (* -1 x)))
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (* -1 (* x (+ 1 (* 1/2 (/ (pow y 2) (pow x 2))))))))
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (* 1/2 (/ (pow y 2) (pow x 2)))))))))
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (+ (* 1/16 (/ (pow y 6) (pow x 6))) (* 1/2 (/ (pow y 2) (pow x 2))))))))))
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (+ x (* 1/2 (/ (pow y 2) x)))))
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/8 (/ (pow y 2) (pow x 3))) (* 1/2 (/ 1 x)))))))
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (+ x (* (pow y 2) (+ (* (pow y 2) (- (* 1/16 (/ (pow y 2) (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx y #s(hole binary64 y))
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2)))))))
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/2 (/ (pow x 2) (pow y 2))))))))
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (+ (* 1/16 (/ (pow x 6) (pow y 6))) (* 1/2 (/ (pow x 2) (pow y 2)))))))))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))))
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (* -1 y)))
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (* -1 (* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2))))))))
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (* -1 (* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/2 (/ (pow x 2) (pow y 2)))))))))
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (* -1 (* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (+ (* 1/16 (/ (pow x 6) (pow y 6))) (* 1/2 (/ (pow x 2) (pow y 2))))))))))
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@inf
((sqrt (+ (* x x) (* y y))) (+ (* x x) (* y y)) (* x x) x (* y y) y)
1.0ms
x
@-inf
((sqrt (+ (* x x) (* y y))) (+ (* x x) (* y y)) (* x x) x (* y y) y)
1.0ms
x
@0
((sqrt (+ (* x x) (* y y))) (+ (* x x) (* y y)) (* x x) x (* y y) y)
1.0ms
y
@inf
((sqrt (+ (* x x) (* y y))) (+ (* x x) (* y y)) (* x x) x (* y y) y)
1.0ms
y
@0
((sqrt (+ (* x x) (* y y))) (+ (* x x) (* y y)) (* x x) x (* y y) y)

rewrite351.0ms (19%)

Memory
34.8MiB live, 261.5MiB allocated; 37ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0143742
0148722
1742722
07664498
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
37 → 427
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
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 y))
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (+ y (* 1/2 (/ (pow x 2) y)))))
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (+ y (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))))))
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (+ y (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))))))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (pow y 2)))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (+ (pow x 2) (pow y 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 x))
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (* x (+ 1 (* 1/2 (/ (pow y 2) (pow x 2)))))))
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (* 1/2 (/ (pow y 2) (pow x 2))))))))
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (+ (* 1/16 (/ (pow y 6) (pow x 6))) (* 1/2 (/ (pow y 2) (pow x 2)))))))))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))))
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (* -1 x)))
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (* -1 (* x (+ 1 (* 1/2 (/ (pow y 2) (pow x 2))))))))
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (* 1/2 (/ (pow y 2) (pow x 2)))))))))
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (+ (* 1/16 (/ (pow y 6) (pow x 6))) (* 1/2 (/ (pow y 2) (pow x 2))))))))))
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (+ x (* 1/2 (/ (pow y 2) x)))))
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/8 (/ (pow y 2) (pow x 3))) (* 1/2 (/ 1 x)))))))
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (+ x (* (pow y 2) (+ (* (pow y 2) (- (* 1/16 (/ (pow y 2) (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx y #s(hole binary64 y))
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2)))))))
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/2 (/ (pow x 2) (pow y 2))))))))
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (+ (* 1/16 (/ (pow x 6) (pow y 6))) (* 1/2 (/ (pow x 2) (pow y 2)))))))))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))))
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (* -1 y)))
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (* -1 (* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2))))))))
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (* -1 (* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/2 (/ (pow x 2) (pow y 2)))))))))
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (* -1 (* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (+ (* 1/16 (/ (pow x 6) (pow y 6))) (* 1/2 (/ (pow x 2) (pow y 2))))))))))
Outputs
(*.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)))
(pow.f64 (hypot.f64 y x) #s(literal 1 binary64))
(pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 x x (*.f64 (neg.f64 y) y))))
(/.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(sqrt.f64 (fma.f64 y y (*.f64 x x)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (fabs.f64 y) #s(literal 1 binary64)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 y)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 y)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 (neg.f64 y)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 (fabs.f64 y)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (fabs.f64 (fabs.f64 y)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (exp.f64 (log.f64 y)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 y))
(hypot.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (fabs.f64 y))
(hypot.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) y)
(hypot.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (fabs.f64 y) #s(literal 1 binary64)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 y)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 y)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (neg.f64 (neg.f64 y)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (neg.f64 (fabs.f64 y)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 (fabs.f64 y)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (exp.f64 (log.f64 y)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (neg.f64 y))
(hypot.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 y))
(hypot.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) y)
(hypot.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(hypot.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)))
(hypot.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(hypot.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(hypot.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (neg.f64 (neg.f64 x)))
(hypot.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (neg.f64 (fabs.f64 x)))
(hypot.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (fabs.f64 (fabs.f64 x)))
(hypot.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (exp.f64 (log.f64 x)))
(hypot.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (neg.f64 x))
(hypot.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (fabs.f64 x))
(hypot.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) x)
(hypot.f64 (*.f64 (fabs.f64 y) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(hypot.f64 (*.f64 (fabs.f64 y) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)))
(hypot.f64 (*.f64 (fabs.f64 y) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(hypot.f64 (*.f64 (fabs.f64 y) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(hypot.f64 (*.f64 (fabs.f64 y) #s(literal 1 binary64)) (neg.f64 (neg.f64 x)))
(hypot.f64 (*.f64 (fabs.f64 y) #s(literal 1 binary64)) (neg.f64 (fabs.f64 x)))
(hypot.f64 (*.f64 (fabs.f64 y) #s(literal 1 binary64)) (fabs.f64 (fabs.f64 x)))
(hypot.f64 (*.f64 (fabs.f64 y) #s(literal 1 binary64)) (exp.f64 (log.f64 x)))
(hypot.f64 (*.f64 (fabs.f64 y) #s(literal 1 binary64)) (neg.f64 x))
(hypot.f64 (*.f64 (fabs.f64 y) #s(literal 1 binary64)) (fabs.f64 x))
(hypot.f64 (*.f64 (fabs.f64 y) #s(literal 1 binary64)) x)
(hypot.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(hypot.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 y) #s(literal 1 binary64)))
(hypot.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 y)))
(hypot.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (fabs.f64 y)))
(hypot.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 (neg.f64 y)))
(hypot.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 (fabs.f64 y)))
(hypot.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (fabs.f64 (fabs.f64 y)))
(hypot.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (exp.f64 (log.f64 y)))
(hypot.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 y))
(hypot.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (fabs.f64 y))
(hypot.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) y)
(hypot.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(hypot.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 y) #s(literal 1 binary64)))
(hypot.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 y)))
(hypot.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (fabs.f64 y)))
(hypot.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (neg.f64 (neg.f64 y)))
(hypot.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (neg.f64 (fabs.f64 y)))
(hypot.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 (fabs.f64 y)))
(hypot.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (exp.f64 (log.f64 y)))
(hypot.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (neg.f64 y))
(hypot.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 y))
(hypot.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) y)
(hypot.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 (neg.f64 x)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 (fabs.f64 x)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (fabs.f64 (fabs.f64 x)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (exp.f64 (log.f64 x)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 x))
(hypot.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (fabs.f64 x))
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(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x) (*.f64 y y))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) y) (*.f64 x x))
(fma.f64 (*.f64 y y) #s(literal 1 binary64) (*.f64 x x))
(fma.f64 #s(literal 1 binary64) (*.f64 y y) (*.f64 x x))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 y y))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 y y))
(fma.f64 y (*.f64 #s(literal -1 binary64) (neg.f64 y)) (*.f64 x x))
(fma.f64 y y (*.f64 x x))
(fma.f64 x (*.f64 #s(literal -1 binary64) (neg.f64 x)) (*.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 x (*.f64 #s(literal -1 binary64) (neg.f64 x)) (*.f64 y y))
(fma.f64 x x (*.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 x x (*.f64 y y))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (*.f64 (neg.f64 y) y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 x x (*.f64 (neg.f64 y) y))))
(-.f64 (*.f64 y y) (*.f64 (neg.f64 x) x))
(-.f64 (*.f64 x x) (*.f64 (neg.f64 y) y))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (*.f64 y y) (*.f64 x x))
(+.f64 (*.f64 x x) (*.f64 (neg.f64 (neg.f64 y)) y))
(+.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) x)
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x (*.f64 #s(literal -1 binary64) (neg.f64 x)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
x
(*.f64 (*.f64 (neg.f64 y) #s(literal -1 binary64)) y)
(*.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 (*.f64 (fabs.f64 y) #s(literal 1 binary64)) (*.f64 (fabs.f64 y) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 y))
(*.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 y)) (*.f64 #s(literal 1 binary64) (fabs.f64 y)))
(*.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 y)) (fabs.f64 y))
(*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)))
(*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)))
(*.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 y)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(*.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64))
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) #s(literal 1 binary64)))
(*.f64 (fabs.f64 y) (fabs.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) y))
(*.f64 (*.f64 y y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 y y))
(*.f64 y (*.f64 #s(literal -1 binary64) (neg.f64 y)))
(*.f64 y y)
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (fabs.f64 y) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 y) y))
(fabs.f64 (*.f64 y y))
(exp.f64 (fma.f64 (log.f64 y) #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))))
y
#s(approx (sqrt (+ (* x x) (* y y))) y)
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64) y))
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) y))
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 y #s(literal -3 binary64)) #s(literal -1/8 binary64) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64) y)))
#s(approx (+ (* x x) (* y y)) (*.f64 y y))
#s(approx (+ (* x x) (* y y)) (fma.f64 y y (*.f64 x x)))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (sqrt (+ (* x x) (* y y))) x)
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (/.f64 y x) (/.f64 y x)) x))
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 y y) x) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/8 binary64)) (pow.f64 x #s(literal 4 binary64)))) x x))
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 (vcubic.f64 #s(literal 1/16 binary64) #s(literal -1/8 binary64) #s(literal 1/2 binary64) #s(literal 1 binary64) (*.f64 (/.f64 y x) (/.f64 y x))) x))
#s(approx (+ (* x x) (* y y)) (*.f64 x x))
#s(approx (+ (* x x) (* y y)) (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 x))
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 y y) x) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 y y) x) #s(literal 1 binary64)))))
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 (neg.f64 x) (vcubic.f64 #s(literal 1/16 binary64) #s(literal -1/8 binary64) #s(literal 1/2 binary64) #s(literal 1 binary64) (*.f64 (/.f64 y x) (/.f64 y x)))))
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64) x))
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (fma.f64 (*.f64 y (/.f64 y (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 y y) x))
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 y y) #s(literal 1/16 binary64)) (pow.f64 x #s(literal 5 binary64)))) (*.f64 y y) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 y y) x))
#s(approx (* y y) (*.f64 y y))
#s(approx y y)
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 1/2 binary64) #s(literal 1 binary64)) y))
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 1/2 binary64) #s(literal 1 binary64))) y))
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 (vcubic.f64 #s(literal 1/16 binary64) #s(literal -1/8 binary64) #s(literal 1/2 binary64) #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x x) y) y)) y))
#s(approx (+ (* x x) (* y y)) (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 1 binary64)) (*.f64 y y)))
#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 y))
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 (neg.f64 y) (fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 1/2 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 (neg.f64 y) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 (neg.f64 y) (vcubic.f64 #s(literal 1/16 binary64) #s(literal -1/8 binary64) #s(literal 1/2 binary64) #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x x) y) y))))

eval105.0ms (5.7%)

Memory
-27.0MiB live, 219.7MiB allocated; 41ms collecting garbage
Samples
20.0ms358×0valid
13.0ms154×0invalid
Compiler

Compiled 4 182 to 812 computations (80.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult!: 13.0ms (80.1% of total)
ival-add!: 3.0ms (18.5% of total)
adjust: 0.0ms (0% of total)

prune10.0ms (0.5%)

Memory
-5.5MiB live, 40.7MiB allocated; 4ms collecting garbage
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New4283431
Fresh000
Picked101
Done000
Total4293432
Accuracy
100.0%
Counts
432 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(hypot.f64 y x)
56.7%
(sqrt.f64 (fma.f64 y y (*.f64 x x)))
99.1%
#s(approx (sqrt (+ (* x x) (* y y))) y)
Compiler

Compiled 20 to 15 computations (25% saved)

series4.0ms (0.2%)

Memory
10.8MiB live, 10.8MiB allocated; 0ms collecting garbage
Counts
7 → 52
Calls
Call 1
Inputs
#s(approx (sqrt (+ (* x x) (* y y))) y)
y
(sqrt.f64 (fma.f64 y y (*.f64 x x)))
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
x
(hypot.f64 y x)
Outputs
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 y))
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (+ y (* 1/2 (/ (pow x 2) y)))))
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (+ y (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))))))
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (+ y (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))))))
#s(approx (sqrt (+ (* y y) (* x x))) #s(hole binary64 y))
#s(approx (sqrt (+ (* y y) (* x x))) #s(hole binary64 (+ y (* 1/2 (/ (pow x 2) y)))))
#s(approx (sqrt (+ (* y y) (* x x))) #s(hole binary64 (+ y (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))))))
#s(approx (sqrt (+ (* y y) (* x x))) #s(hole binary64 (+ y (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))))))
#s(approx (+ (* y y) (* x x)) #s(hole binary64 (pow y 2)))
#s(approx (+ (* y y) (* x x)) #s(hole binary64 (+ (pow x 2) (pow y 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 x))
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (* x (+ 1 (* 1/2 (/ (pow y 2) (pow x 2)))))))
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (* 1/2 (/ (pow y 2) (pow x 2))))))))
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (+ (* 1/16 (/ (pow y 6) (pow x 6))) (* 1/2 (/ (pow y 2) (pow x 2)))))))))
#s(approx (sqrt (+ (* y y) (* x x))) #s(hole binary64 x))
#s(approx (sqrt (+ (* y y) (* x x))) #s(hole binary64 (* x (+ 1 (* 1/2 (/ (pow y 2) (pow x 2)))))))
#s(approx (sqrt (+ (* y y) (* x x))) #s(hole binary64 (* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (* 1/2 (/ (pow y 2) (pow x 2))))))))
#s(approx (sqrt (+ (* y y) (* x x))) #s(hole binary64 (* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (+ (* 1/16 (/ (pow y 6) (pow x 6))) (* 1/2 (/ (pow y 2) (pow x 2)))))))))
#s(approx (+ (* y y) (* x x)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* y y) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))))
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (* -1 x)))
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (* -1 (* x (+ 1 (* 1/2 (/ (pow y 2) (pow x 2))))))))
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (* 1/2 (/ (pow y 2) (pow x 2)))))))))
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (+ (* 1/16 (/ (pow y 6) (pow x 6))) (* 1/2 (/ (pow y 2) (pow x 2))))))))))
#s(approx (sqrt (+ (* y y) (* x x))) #s(hole binary64 (* -1 x)))
#s(approx (sqrt (+ (* y y) (* x x))) #s(hole binary64 (* -1 (* x (+ 1 (* 1/2 (/ (pow y 2) (pow x 2))))))))
#s(approx (sqrt (+ (* y y) (* x x))) #s(hole binary64 (* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (* 1/2 (/ (pow y 2) (pow x 2)))))))))
#s(approx (sqrt (+ (* y y) (* x x))) #s(hole binary64 (* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (+ (* 1/16 (/ (pow y 6) (pow x 6))) (* 1/2 (/ (pow y 2) (pow x 2))))))))))
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (+ x (* 1/2 (/ (pow y 2) x)))))
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/8 (/ (pow y 2) (pow x 3))) (* 1/2 (/ 1 x)))))))
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (+ x (* (pow y 2) (+ (* (pow y 2) (- (* 1/16 (/ (pow y 2) (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))))
#s(approx y #s(hole binary64 y))
#s(approx (sqrt (+ (* y y) (* x x))) #s(hole binary64 (+ x (* 1/2 (/ (pow y 2) x)))))
#s(approx (sqrt (+ (* y y) (* x x))) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/8 (/ (pow y 2) (pow x 3))) (* 1/2 (/ 1 x)))))))
#s(approx (sqrt (+ (* y y) (* x x))) #s(hole binary64 (+ x (* (pow y 2) (+ (* (pow y 2) (- (* 1/16 (/ (pow y 2) (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))))
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2)))))))
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/2 (/ (pow x 2) (pow y 2))))))))
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (+ (* 1/16 (/ (pow x 6) (pow y 6))) (* 1/2 (/ (pow x 2) (pow y 2)))))))))
#s(approx (sqrt (+ (* y y) (* x x))) #s(hole binary64 (* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2)))))))
#s(approx (sqrt (+ (* y y) (* x x))) #s(hole binary64 (* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/2 (/ (pow x 2) (pow y 2))))))))
#s(approx (sqrt (+ (* y y) (* x x))) #s(hole binary64 (* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (+ (* 1/16 (/ (pow x 6) (pow y 6))) (* 1/2 (/ (pow x 2) (pow y 2)))))))))
#s(approx (+ (* y y) (* x x)) #s(hole binary64 (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))))
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (* -1 y)))
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (* -1 (* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2))))))))
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (* -1 (* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/2 (/ (pow x 2) (pow y 2)))))))))
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (* -1 (* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (+ (* 1/16 (/ (pow x 6) (pow y 6))) (* 1/2 (/ (pow x 2) (pow y 2))))))))))
#s(approx (sqrt (+ (* y y) (* x x))) #s(hole binary64 (* -1 y)))
#s(approx (sqrt (+ (* y y) (* x x))) #s(hole binary64 (* -1 (* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2))))))))
#s(approx (sqrt (+ (* y y) (* x x))) #s(hole binary64 (* -1 (* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/2 (/ (pow x 2) (pow y 2)))))))))
#s(approx (sqrt (+ (* y y) (* x x))) #s(hole binary64 (* -1 (* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (+ (* 1/16 (/ (pow x 6) (pow y 6))) (* 1/2 (/ (pow x 2) (pow y 2))))))))))
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@inf
((sqrt (+ (* x x) (* y y))) y (sqrt (+ (* y y) (* x x))) (+ (* y y) (* x x)) (* x x) x (sqrt (+ (* y y) (* x x))))
1.0ms
x
@-inf
((sqrt (+ (* x x) (* y y))) y (sqrt (+ (* y y) (* x x))) (+ (* y y) (* x x)) (* x x) x (sqrt (+ (* y y) (* x x))))
1.0ms
y
@-inf
((sqrt (+ (* x x) (* y y))) y (sqrt (+ (* y y) (* x x))) (+ (* y y) (* x x)) (* x x) x (sqrt (+ (* y y) (* x x))))
1.0ms
y
@inf
((sqrt (+ (* x x) (* y y))) y (sqrt (+ (* y y) (* x x))) (+ (* y y) (* x x)) (* x x) x (sqrt (+ (* y y) (* x x))))
0.0ms
x
@0
((sqrt (+ (* x x) (* y y))) y (sqrt (+ (* y y) (* x x))) (+ (* y y) (* x x)) (* x x) x (sqrt (+ (* y y) (* x x))))

rewrite262.0ms (14.1%)

Memory
7.2MiB live, 156.1MiB allocated; 32ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01661244
01691088
17781088
07843886
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
59 → 695
Calls
Call 1
Inputs
#s(approx (sqrt (+ (* x x) (* y y))) y)
y
(sqrt.f64 (fma.f64 y y (*.f64 x x)))
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
x
(hypot.f64 y x)
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 y))
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (+ y (* 1/2 (/ (pow x 2) y)))))
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (+ y (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))))))
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (+ y (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))))))
#s(approx (sqrt (+ (* y y) (* x x))) #s(hole binary64 y))
#s(approx (sqrt (+ (* y y) (* x x))) #s(hole binary64 (+ y (* 1/2 (/ (pow x 2) y)))))
#s(approx (sqrt (+ (* y y) (* x x))) #s(hole binary64 (+ y (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))))))
#s(approx (sqrt (+ (* y y) (* x x))) #s(hole binary64 (+ y (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))))))
#s(approx (+ (* y y) (* x x)) #s(hole binary64 (pow y 2)))
#s(approx (+ (* y y) (* x x)) #s(hole binary64 (+ (pow x 2) (pow y 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 x))
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (* x (+ 1 (* 1/2 (/ (pow y 2) (pow x 2)))))))
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (* 1/2 (/ (pow y 2) (pow x 2))))))))
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (+ (* 1/16 (/ (pow y 6) (pow x 6))) (* 1/2 (/ (pow y 2) (pow x 2)))))))))
#s(approx (sqrt (+ (* y y) (* x x))) #s(hole binary64 x))
#s(approx (sqrt (+ (* y y) (* x x))) #s(hole binary64 (* x (+ 1 (* 1/2 (/ (pow y 2) (pow x 2)))))))
#s(approx (sqrt (+ (* y y) (* x x))) #s(hole binary64 (* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (* 1/2 (/ (pow y 2) (pow x 2))))))))
#s(approx (sqrt (+ (* y y) (* x x))) #s(hole binary64 (* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (+ (* 1/16 (/ (pow y 6) (pow x 6))) (* 1/2 (/ (pow y 2) (pow x 2)))))))))
#s(approx (+ (* y y) (* x x)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* y y) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))))
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (* -1 x)))
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (* -1 (* x (+ 1 (* 1/2 (/ (pow y 2) (pow x 2))))))))
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (* 1/2 (/ (pow y 2) (pow x 2)))))))))
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (+ (* 1/16 (/ (pow y 6) (pow x 6))) (* 1/2 (/ (pow y 2) (pow x 2))))))))))
#s(approx (sqrt (+ (* y y) (* x x))) #s(hole binary64 (* -1 x)))
#s(approx (sqrt (+ (* y y) (* x x))) #s(hole binary64 (* -1 (* x (+ 1 (* 1/2 (/ (pow y 2) (pow x 2))))))))
#s(approx (sqrt (+ (* y y) (* x x))) #s(hole binary64 (* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (* 1/2 (/ (pow y 2) (pow x 2)))))))))
#s(approx (sqrt (+ (* y y) (* x x))) #s(hole binary64 (* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (+ (* 1/16 (/ (pow y 6) (pow x 6))) (* 1/2 (/ (pow y 2) (pow x 2))))))))))
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (+ x (* 1/2 (/ (pow y 2) x)))))
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/8 (/ (pow y 2) (pow x 3))) (* 1/2 (/ 1 x)))))))
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (+ x (* (pow y 2) (+ (* (pow y 2) (- (* 1/16 (/ (pow y 2) (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))))
#s(approx y #s(hole binary64 y))
#s(approx (sqrt (+ (* y y) (* x x))) #s(hole binary64 (+ x (* 1/2 (/ (pow y 2) x)))))
#s(approx (sqrt (+ (* y y) (* x x))) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/8 (/ (pow y 2) (pow x 3))) (* 1/2 (/ 1 x)))))))
#s(approx (sqrt (+ (* y y) (* x x))) #s(hole binary64 (+ x (* (pow y 2) (+ (* (pow y 2) (- (* 1/16 (/ (pow y 2) (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))))
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2)))))))
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/2 (/ (pow x 2) (pow y 2))))))))
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (+ (* 1/16 (/ (pow x 6) (pow y 6))) (* 1/2 (/ (pow x 2) (pow y 2)))))))))
#s(approx (sqrt (+ (* y y) (* x x))) #s(hole binary64 (* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2)))))))
#s(approx (sqrt (+ (* y y) (* x x))) #s(hole binary64 (* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/2 (/ (pow x 2) (pow y 2))))))))
#s(approx (sqrt (+ (* y y) (* x x))) #s(hole binary64 (* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (+ (* 1/16 (/ (pow x 6) (pow y 6))) (* 1/2 (/ (pow x 2) (pow y 2)))))))))
#s(approx (+ (* y y) (* x x)) #s(hole binary64 (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))))
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (* -1 y)))
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (* -1 (* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2))))))))
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (* -1 (* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/2 (/ (pow x 2) (pow y 2)))))))))
#s(approx (sqrt (+ (* x x) (* y y))) #s(hole binary64 (* -1 (* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (+ (* 1/16 (/ (pow x 6) (pow y 6))) (* 1/2 (/ (pow x 2) (pow y 2))))))))))
#s(approx (sqrt (+ (* y y) (* x x))) #s(hole binary64 (* -1 y)))
#s(approx (sqrt (+ (* y y) (* x x))) #s(hole binary64 (* -1 (* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2))))))))
#s(approx (sqrt (+ (* y y) (* x x))) #s(hole binary64 (* -1 (* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/2 (/ (pow x 2) (pow y 2)))))))))
#s(approx (sqrt (+ (* y y) (* x x))) #s(hole binary64 (* -1 (* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (+ (* 1/16 (/ (pow x 6) (pow y 6))) (* 1/2 (/ (pow x 2) (pow y 2))))))))))
Outputs
#s(approx (sqrt (+ (* x x) (* y y))) y)
y
(*.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)))
(pow.f64 (hypot.f64 y x) #s(literal 1 binary64))
(pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 y y (*.f64 (neg.f64 x) x))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 x x (*.f64 (neg.f64 y) y))))
(/.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(sqrt.f64 (fma.f64 y y (*.f64 x x)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 y)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 y)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (fabs.f64 y) #s(literal 1 binary64)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 (neg.f64 y)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 (fabs.f64 y)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (fabs.f64 (fabs.f64 y)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (exp.f64 (log.f64 y)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 y))
(hypot.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (fabs.f64 y))
(hypot.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) y)
(hypot.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 y)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 y)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (fabs.f64 y) #s(literal 1 binary64)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (neg.f64 (neg.f64 y)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (neg.f64 (fabs.f64 y)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 (fabs.f64 y)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (exp.f64 (log.f64 y)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (neg.f64 y))
(hypot.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 y))
(hypot.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) y)
(hypot.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 (neg.f64 x)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 (fabs.f64 x)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (fabs.f64 (fabs.f64 x)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (exp.f64 (log.f64 x)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 x))
(hypot.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (fabs.f64 x))
(hypot.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) x)
(hypot.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 y)) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 y)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 y)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 y)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 y)) (neg.f64 (neg.f64 x)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 y)) (neg.f64 (fabs.f64 x)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 y)) (fabs.f64 (fabs.f64 x)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 y)) (exp.f64 (log.f64 x)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 y)) (neg.f64 x))
(hypot.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 y)) (fabs.f64 x))
(hypot.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 y)) x)
(hypot.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 y)))
(hypot.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (fabs.f64 y)))
(hypot.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(hypot.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 y) #s(literal 1 binary64)))
(hypot.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 (neg.f64 y)))
(hypot.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 (fabs.f64 y)))
(hypot.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (fabs.f64 (fabs.f64 y)))
(hypot.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (exp.f64 (log.f64 y)))
(hypot.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 y))
(hypot.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (fabs.f64 y))
(hypot.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) y)
(hypot.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 y)))
(hypot.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (fabs.f64 y)))
(hypot.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(hypot.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 y) #s(literal 1 binary64)))
(hypot.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (neg.f64 (neg.f64 y)))
(hypot.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (neg.f64 (fabs.f64 y)))
(hypot.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 (fabs.f64 y)))
(hypot.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (exp.f64 (log.f64 y)))
(hypot.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (neg.f64 y))
(hypot.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 y))
(hypot.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) y)
(hypot.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(hypot.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)))
(hypot.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(hypot.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(hypot.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (neg.f64 (neg.f64 x)))
(hypot.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (neg.f64 (fabs.f64 x)))
(hypot.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (fabs.f64 (fabs.f64 x)))
(hypot.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (exp.f64 (log.f64 x)))
(hypot.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (neg.f64 x))
(hypot.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (fabs.f64 x))
(hypot.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) x)
(hypot.f64 (*.f64 (fabs.f64 y) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(hypot.f64 (*.f64 (fabs.f64 y) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)))
(hypot.f64 (*.f64 (fabs.f64 y) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(hypot.f64 (*.f64 (fabs.f64 y) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(hypot.f64 (*.f64 (fabs.f64 y) #s(literal 1 binary64)) (neg.f64 (neg.f64 x)))
(hypot.f64 (*.f64 (fabs.f64 y) #s(literal 1 binary64)) (neg.f64 (fabs.f64 x)))
(hypot.f64 (*.f64 (fabs.f64 y) #s(literal 1 binary64)) (fabs.f64 (fabs.f64 x)))
(hypot.f64 (*.f64 (fabs.f64 y) #s(literal 1 binary64)) (exp.f64 (log.f64 x)))
(hypot.f64 (*.f64 (fabs.f64 y) #s(literal 1 binary64)) (neg.f64 x))
(hypot.f64 (*.f64 (fabs.f64 y) #s(literal 1 binary64)) (fabs.f64 x))
(hypot.f64 (*.f64 (fabs.f64 y) #s(literal 1 binary64)) x)
(hypot.f64 (neg.f64 (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 y)))
(hypot.f64 (neg.f64 (neg.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 y)))
(hypot.f64 (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(hypot.f64 (neg.f64 (neg.f64 x)) (*.f64 (fabs.f64 y) #s(literal 1 binary64)))
(hypot.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 y)))
(hypot.f64 (neg.f64 (neg.f64 x)) (neg.f64 (fabs.f64 y)))
(hypot.f64 (neg.f64 (neg.f64 x)) (fabs.f64 (fabs.f64 y)))
(hypot.f64 (neg.f64 (neg.f64 x)) (exp.f64 (log.f64 y)))
(hypot.f64 (neg.f64 (neg.f64 x)) (neg.f64 y))
(hypot.f64 (neg.f64 (neg.f64 x)) (fabs.f64 y))
(hypot.f64 (neg.f64 (neg.f64 x)) y)
(hypot.f64 (neg.f64 (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 y)))
(hypot.f64 (neg.f64 (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 y)))
(hypot.f64 (neg.f64 (fabs.f64 x)) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(hypot.f64 (neg.f64 (fabs.f64 x)) (*.f64 (fabs.f64 y) #s(literal 1 binary64)))
(hypot.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (neg.f64 y)))
(hypot.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 y)))
(hypot.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 y)))
(hypot.f64 (neg.f64 (fabs.f64 x)) (exp.f64 (log.f64 y)))
(hypot.f64 (neg.f64 (fabs.f64 x)) (neg.f64 y))
(hypot.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 y))
(hypot.f64 (neg.f64 (fabs.f64 x)) y)
(hypot.f64 (neg.f64 (neg.f64 y)) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(hypot.f64 (neg.f64 (neg.f64 y)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)))
(hypot.f64 (neg.f64 (neg.f64 y)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(hypot.f64 (neg.f64 (neg.f64 y)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(hypot.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 x)))
(hypot.f64 (neg.f64 (neg.f64 y)) (neg.f64 (fabs.f64 x)))
(hypot.f64 (neg.f64 (neg.f64 y)) (fabs.f64 (fabs.f64 x)))
(hypot.f64 (neg.f64 (neg.f64 y)) (exp.f64 (log.f64 x)))
(hypot.f64 (neg.f64 (neg.f64 y)) (neg.f64 x))
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(hypot.f64 (fabs.f64 (fabs.f64 y)) (neg.f64 x))
(hypot.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 x))
(hypot.f64 (fabs.f64 (fabs.f64 y)) x)
(hypot.f64 (exp.f64 (log.f64 y)) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(hypot.f64 (exp.f64 (log.f64 y)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)))
(hypot.f64 (exp.f64 (log.f64 y)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(hypot.f64 (exp.f64 (log.f64 y)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(hypot.f64 (exp.f64 (log.f64 y)) (neg.f64 (neg.f64 x)))
(hypot.f64 (exp.f64 (log.f64 y)) (neg.f64 (fabs.f64 x)))
(hypot.f64 (exp.f64 (log.f64 y)) (fabs.f64 (fabs.f64 x)))
(hypot.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 x)))
(hypot.f64 (exp.f64 (log.f64 y)) (neg.f64 x))
(hypot.f64 (exp.f64 (log.f64 y)) (fabs.f64 x))
(hypot.f64 (exp.f64 (log.f64 y)) x)
(hypot.f64 (exp.f64 (log.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 y)))
(hypot.f64 (exp.f64 (log.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 y)))
(hypot.f64 (exp.f64 (log.f64 x)) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(hypot.f64 (exp.f64 (log.f64 x)) (*.f64 (fabs.f64 y) #s(literal 1 binary64)))
(hypot.f64 (exp.f64 (log.f64 x)) (neg.f64 (neg.f64 y)))
(hypot.f64 (exp.f64 (log.f64 x)) (neg.f64 (fabs.f64 y)))
(hypot.f64 (exp.f64 (log.f64 x)) (fabs.f64 (fabs.f64 y)))
(hypot.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 y)))
(hypot.f64 (exp.f64 (log.f64 x)) (neg.f64 y))
(hypot.f64 (exp.f64 (log.f64 x)) (fabs.f64 y))
(hypot.f64 (exp.f64 (log.f64 x)) y)
(hypot.f64 (neg.f64 x) (*.f64 #s(literal 1 binary64) (neg.f64 y)))
(hypot.f64 (neg.f64 x) (*.f64 #s(literal 1 binary64) (fabs.f64 y)))
(hypot.f64 (neg.f64 x) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(hypot.f64 (neg.f64 x) (*.f64 (fabs.f64 y) #s(literal 1 binary64)))
(hypot.f64 (neg.f64 x) (neg.f64 (neg.f64 y)))
(hypot.f64 (neg.f64 x) (neg.f64 (fabs.f64 y)))
(hypot.f64 (neg.f64 x) (fabs.f64 (fabs.f64 y)))
(hypot.f64 (neg.f64 x) (exp.f64 (log.f64 y)))
(hypot.f64 (neg.f64 x) (neg.f64 y))
(hypot.f64 (neg.f64 x) (fabs.f64 y))
(hypot.f64 (neg.f64 x) y)
(hypot.f64 (neg.f64 y) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(hypot.f64 (neg.f64 y) (*.f64 #s(literal 1 binary64) (fabs.f64 x)))
(hypot.f64 (neg.f64 y) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(hypot.f64 (neg.f64 y) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(hypot.f64 (neg.f64 y) (neg.f64 (neg.f64 x)))
(hypot.f64 (neg.f64 y) (neg.f64 (fabs.f64 x)))
(hypot.f64 (neg.f64 y) (fabs.f64 (fabs.f64 x)))
(hypot.f64 (neg.f64 y) (exp.f64 (log.f64 x)))
(hypot.f64 (neg.f64 y) (neg.f64 x))
(hypot.f64 (neg.f64 y) (fabs.f64 x))
(hypot.f64 (neg.f64 y) x)
(hypot.f64 (fabs.f64 x) (*.f64 #s(literal 1 binary64) (neg.f64 y)))
(hypot.f64 (fabs.f64 x) (*.f64 #s(literal 1 binary64) (fabs.f64 y)))
(hypot.f64 (fabs.f64 x) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(hypot.f64 (fabs.f64 x) (*.f64 (fabs.f64 y) #s(literal 1 binary64)))
(hypot.f64 (fabs.f64 x) (neg.f64 (neg.f64 y)))
(hypot.f64 (fabs.f64 x) (neg.f64 (fabs.f64 y)))
(hypot.f64 (fabs.f64 x) (fabs.f64 (fabs.f64 y)))
(hypot.f64 (fabs.f64 x) (exp.f64 (log.f64 y)))
(hypot.f64 (fabs.f64 x) (neg.f64 y))
(hypot.f64 (fabs.f64 x) (fabs.f64 y))
(hypot.f64 (fabs.f64 x) y)
(hypot.f64 (fabs.f64 y) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(hypot.f64 (fabs.f64 y) (*.f64 #s(literal 1 binary64) (fabs.f64 x)))
(hypot.f64 (fabs.f64 y) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(hypot.f64 (fabs.f64 y) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(hypot.f64 (fabs.f64 y) (neg.f64 (neg.f64 x)))
(hypot.f64 (fabs.f64 y) (neg.f64 (fabs.f64 x)))
(hypot.f64 (fabs.f64 y) (fabs.f64 (fabs.f64 x)))
(hypot.f64 (fabs.f64 y) (exp.f64 (log.f64 x)))
(hypot.f64 (fabs.f64 y) (neg.f64 x))
(hypot.f64 (fabs.f64 y) (fabs.f64 x))
(hypot.f64 (fabs.f64 y) x)
(hypot.f64 y (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(hypot.f64 y (*.f64 #s(literal 1 binary64) (fabs.f64 x)))
(hypot.f64 y (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(hypot.f64 y (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(hypot.f64 y (neg.f64 (neg.f64 x)))
(hypot.f64 y (neg.f64 (fabs.f64 x)))
(hypot.f64 y (fabs.f64 (fabs.f64 x)))
(hypot.f64 y (exp.f64 (log.f64 x)))
(hypot.f64 y (neg.f64 x))
(hypot.f64 y (fabs.f64 x))
(hypot.f64 y x)
(hypot.f64 x (*.f64 #s(literal 1 binary64) (neg.f64 y)))
(hypot.f64 x (*.f64 #s(literal 1 binary64) (fabs.f64 y)))
(hypot.f64 x (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(hypot.f64 x (*.f64 (fabs.f64 y) #s(literal 1 binary64)))
(hypot.f64 x (neg.f64 (neg.f64 y)))
(hypot.f64 x (neg.f64 (fabs.f64 y)))
(hypot.f64 x (fabs.f64 (fabs.f64 y)))
(hypot.f64 x (exp.f64 (log.f64 y)))
(hypot.f64 x (neg.f64 y))
(hypot.f64 x (fabs.f64 y))
(hypot.f64 x y)
(exp.f64 (*.f64 (log.f64 (fma.f64 y y (*.f64 x x))) #s(literal 1/2 binary64)))
#s(approx (sqrt (+ (* x x) (* y y))) y)
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64) y))
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) y))
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 y #s(literal -3 binary64)) #s(literal -1/8 binary64) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64) y)))
#s(approx (sqrt (+ (* x x) (* y y))) y)
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64) y))
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) y))
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 y #s(literal -3 binary64)) #s(literal -1/8 binary64) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64) y)))
#s(approx (+ (* y y) (* x x)) (*.f64 y y))
#s(approx (+ (* y y) (* x x)) (fma.f64 y y (*.f64 x x)))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (sqrt (+ (* x x) (* y y))) x)
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (/.f64 y x) (/.f64 y x)) x))
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 y y) x) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/8 binary64)) (pow.f64 x #s(literal 4 binary64)))) x x))
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 (vcubic.f64 #s(literal 1/16 binary64) #s(literal -1/8 binary64) #s(literal 1/2 binary64) #s(literal 1 binary64) (*.f64 (/.f64 y x) (/.f64 y x))) x))
#s(approx (sqrt (+ (* x x) (* y y))) x)
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (/.f64 y x) (/.f64 y x)) x))
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 y y) x) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/8 binary64)) (pow.f64 x #s(literal 4 binary64)))) x x))
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 (vcubic.f64 #s(literal 1/16 binary64) #s(literal -1/8 binary64) #s(literal 1/2 binary64) #s(literal 1 binary64) (*.f64 (/.f64 y x) (/.f64 y x))) x))
#s(approx (+ (* y y) (* x x)) (*.f64 x x))
#s(approx (+ (* y y) (* x x)) (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 x))
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 y y) x) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 y y) x) #s(literal 1 binary64)))))
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 (neg.f64 x) (vcubic.f64 #s(literal 1/16 binary64) #s(literal -1/8 binary64) #s(literal 1/2 binary64) #s(literal 1 binary64) (*.f64 (/.f64 y x) (/.f64 y x)))))
#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 x))
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 y y) x) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 y y) x) #s(literal 1 binary64)))))
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 (neg.f64 x) (vcubic.f64 #s(literal 1/16 binary64) #s(literal -1/8 binary64) #s(literal 1/2 binary64) #s(literal 1 binary64) (*.f64 (/.f64 y x) (/.f64 y x)))))
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64) x))
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (fma.f64 (*.f64 y (/.f64 y (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 y y) x))
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 y y) #s(literal 1/16 binary64)) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64) x)))
#s(approx y y)
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64) x))
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (fma.f64 (*.f64 y (/.f64 y (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 y y) x))
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 y y) #s(literal 1/16 binary64)) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64) x)))
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 1/2 binary64) #s(literal 1 binary64)) y))
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 1/2 binary64) #s(literal 1 binary64))) y))
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 (vcubic.f64 #s(literal 1/16 binary64) #s(literal -1/8 binary64) #s(literal 1/2 binary64) #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x x) y) y)) y))
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 1/2 binary64) #s(literal 1 binary64)) y))
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 1/2 binary64) #s(literal 1 binary64))) y))
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 (vcubic.f64 #s(literal 1/16 binary64) #s(literal -1/8 binary64) #s(literal 1/2 binary64) #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x x) y) y)) y))
#s(approx (+ (* y y) (* x x)) (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 1 binary64)) (*.f64 y y)))
#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 y))
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 (neg.f64 y) (fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 1/2 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 (neg.f64 y) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 (neg.f64 y) (vcubic.f64 #s(literal 1/16 binary64) #s(literal -1/8 binary64) #s(literal 1/2 binary64) #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x x) y) y))))
#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 y))
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 (neg.f64 y) (fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 1/2 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 (neg.f64 y) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 (neg.f64 y) (vcubic.f64 #s(literal 1/16 binary64) #s(literal -1/8 binary64) #s(literal 1/2 binary64) #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x x) y) y))))

eval97.0ms (5.2%)

Memory
8.1MiB live, 192.7MiB allocated; 43ms collecting garbage
Samples
31.0ms358×0valid
9.0ms154×0invalid
Compiler

Compiled 4 227 to 776 computations (81.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult!: 21.0ms (88.7% of total)
ival-add!: 3.0ms (12.7% of total)
adjust: 0.0ms (0% of total)

prune9.0ms (0.5%)

Memory
-12.8MiB live, 32.8MiB allocated; 5ms collecting garbage
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New4310431
Fresh000
Picked033
Done000
Total4313434
Accuracy
100.0%
Counts
434 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(hypot.f64 y x)
56.7%
(sqrt.f64 (fma.f64 y y (*.f64 x x)))
99.1%
#s(approx (sqrt (+ (* x x) (* y y))) y)
Compiler

Compiled 48 to 29 computations (39.6% saved)

regimes12.0ms (0.6%)

Memory
-12.7MiB live, 32.9MiB allocated; 3ms collecting garbage
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (sqrt (+ (* x x) (* y y))) y)
(sqrt.f64 (fma.f64 y y (*.f64 x x)))
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))
(hypot.f64 y x)
Outputs
(hypot.f64 y x)
Calls

6 calls:

3.0ms
(*.f64 x x)
2.0ms
y
2.0ms
x
2.0ms
(*.f64 y y)
2.0ms
(+.f64 (*.f64 x x) (*.f64 y y))
Results
AccuracySegmentsBranch
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 23 to 21 computations (8.7% saved)

regimes8.0ms (0.5%)

Memory
30.2MiB live, 30.2MiB allocated; 0ms collecting garbage
Accuracy

Total -27.5b remaining (-4635.3%)

Threshold costs -27.5b (-4635.3%)

Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (sqrt (+ (* x x) (* y y))) y)
(sqrt.f64 (fma.f64 y y (*.f64 x x)))
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))
Outputs
#s(approx (sqrt (+ (* x x) (* y y))) y)
Calls

6 calls:

1.0ms
y
1.0ms
x
1.0ms
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))
1.0ms
(+.f64 (*.f64 x x) (*.f64 y y))
1.0ms
(*.f64 y y)
Results
AccuracySegmentsBranch
99.1%1(*.f64 y y)
99.1%1(*.f64 x x)
99.1%1(+.f64 (*.f64 x x) (*.f64 y y))
99.1%1(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))
99.1%1x
99.1%1y
Compiler

Compiled 23 to 21 computations (8.7% saved)

simplify13.0ms (0.7%)

Memory
-14.2MiB live, 30.9MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0813
11913
25813
311513
415213
Stop Event
saturated
Calls
Call 1
Inputs
(hypot.f64 y x)
#s(approx (sqrt (+ (* x x) (* y y))) y)
Outputs
(hypot.f64 y x)
#s(approx (sqrt (+ (* x x) (* y y))) y)

derivations79.0ms (4.3%)

Memory
-22.3MiB live, 77.5MiB allocated; 16ms collecting garbage
Stop Event
done
Compiler

Compiled 13 to 8 computations (38.5% saved)

preprocess15.0ms (0.8%)

Memory
46.1MiB live, 46.1MiB allocated; 0ms collecting garbage
Remove

(sort x y)

(abs y)

(abs x)

Compiler

Compiled 60 to 46 computations (23.3% saved)

end0.0ms (0%)

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

Profiling

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