Data.Octree.Internal:octantDistance from Octree-0.5.4.2

Time bar (total: 2.1s)

analyze1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
100%99.9%0%0.1%0%0%0%3
Compiler

Compiled 10 to 8 computations (20% saved)

sample1.1s (55.4%)

Memory
13.0MiB live, 1 326.8MiB allocated
Samples
665.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 220.0ms
ival-mult: 121.0ms (55% of total)
ival-sqrt: 58.0ms (26.4% of total)
ival-add: 33.0ms (15% of total)
ival-true: 5.0ms (2.3% of total)
ival-assert: 3.0ms (1.4% of total)
Bogosity

preprocess157.0ms (7.6%)

Memory
1.4MiB live, 119.0MiB allocated
Algorithm
egg-herbie
Rules
52×fmm-def
45×fma-define
16×distribute-lft-neg-in
15×neg-sub0
12×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02499
15199
29899
318799
428499
532399
633399
Stop Event
saturated
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))
(sqrt.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 y y)))
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 (neg.f64 y) (neg.f64 y))))
(neg.f64 (sqrt.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 y y))))
(neg.f64 (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 (neg.f64 y) (neg.f64 y)))))
(sqrt.f64 (+.f64 (*.f64 y y) (*.f64 x x)))
Outputs
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))
(hypot.f64 x y)
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))
(hypot.f64 x y)
(sqrt.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 y y)))
(hypot.f64 x y)
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 (neg.f64 y) (neg.f64 y))))
(hypot.f64 x y)
(neg.f64 (sqrt.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 y y))))
(neg.f64 (hypot.f64 x y))
(neg.f64 (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 (neg.f64 y) (neg.f64 y)))))
(neg.f64 (hypot.f64 x y))
(sqrt.f64 (+.f64 (*.f64 y y) (*.f64 x x)))
(hypot.f64 x y)
Symmetry

(abs x)

(abs y)

(sort x y)

explain197.0ms (9.6%)

Memory
6.2MiB live, 166.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1310-1(4.665963583358965e-264 5.253666625137493e-160)(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-rescue1230
(*.f64 y y)overflow123
(*.f64 x x)overflow17
(+.f64 (*.f64 x x) (*.f64 y y))overflow123
sqrt.f64(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))uflow-rescue70
(*.f64 y y)underflow7
(*.f64 x x)underflow98
(+.f64 (*.f64 x x) (*.f64 y y))underflow7
Confusion
Predicted +Predicted -
+1301
-0125
Precision
1.0
Recall
0.9923664122137404
Confusion?
Predicted +Predicted MaybePredicted -
+13001
-00125
Precision?
1.0
Recall?
0.9923664122137404
Freqs
test
numberfreq
0126
1130
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
28.0ms512×0valid
Compiler

Compiled 70 to 28 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 8.0ms (56.4% of total)
ival-sqrt: 4.0ms (28.2% of total)
ival-add: 2.0ms (14.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval3.0ms (0.1%)

Memory
-38.9MiB live, 0.8MiB allocated
Compiler

Compiled 5 to 3 computations (40% saved)

prune1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(hypot.f64 x y)
Compiler

Compiled 5 to 3 computations (40% saved)

simplify6.0ms (0.3%)

Memory
8.8MiB live, 8.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 1 expressions of interest:

NewMetricScoreProgram
cost-diff0
(hypot.f64 x y)
Rules
fma-define
hypot-define
hypot-undefine
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0821
11321
21621
31821
Stop Event
saturated
Calls
Call 1
Inputs
(hypot.f64 x y)
x
y
Outputs
(hypot.f64 x y)
x
y

localize15.0ms (0.7%)

Memory
-6.0MiB live, 33.0MiB allocated
Localize:

Found 1 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(hypot.f64 x y)
Samples
9.0ms256×0valid
Compiler

Compiled 7 to 5 computations (28.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-hypot: 4.0ms (93.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.2%)

Memory
12.0MiB live, 12.0MiB allocated
Counts
1 → 24
Calls
Call 1
Inputs
#<alt (hypot.f64 x y)>
Outputs
#<alt y>
#<alt (+.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (+.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))>
#<alt (+.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.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 y #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))>
#<alt x>
#<alt (*.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))))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.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)))))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.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))))))))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.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)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.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))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.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)))))))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))>
#<alt (+.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (+.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.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 x #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt y>
#<alt (*.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))))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.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)))))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (+.f64 (*.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))))))))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.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)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.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))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (+.f64 (*.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:

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

rewrite295.0ms (14.4%)

Memory
22.1MiB live, 338.6MiB allocated
Algorithm
batch-egg-rewrite
Rules
425×log1p-expm1-u
294×associate-*r*
244×expm1-log1p-u
242×associate-*l*
232×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0813
16613
269613
3764813
Stop Event
node limit
Counts
1 → 58
Calls
Call 1
Inputs
(hypot.f64 x y)
Outputs
(+.f64 (+.f64 (hypot.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (hypot.f64 x y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 x y))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x y)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x y)))))
(-.f64 (+.f64 (hypot.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (hypot.f64 x y) #s(literal 1 binary64))
(*.f64 (hypot.f64 x y) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (hypot.f64 x y))
(*.f64 (cbrt.f64 (hypot.f64 x y)) (pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (hypot.f64 x y)) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (hypot.f64 x y)))
(*.f64 (sqrt.f64 (hypot.f64 x y)) (sqrt.f64 (hypot.f64 x y)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x y))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x y))) (pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (hypot.f64 x y))))
(*.f64 (pow.f64 (hypot.f64 x y) #s(literal 1/6 binary64)) (*.f64 (pow.f64 (hypot.f64 x y) #s(literal 1/6 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (hypot.f64 x y) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (hypot.f64 x y) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (hypot.f64 x y) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (hypot.f64 x y) #s(literal 1/4 binary64)) (sqrt.f64 (hypot.f64 x y))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (hypot.f64 x y))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 4 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (hypot.f64 x y)))
(*.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 5 binary64)) #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (hypot.f64 x y))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (hypot.f64 x y))))
(*.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (sqrt.f64 (hypot.f64 x y)) (cbrt.f64 (hypot.f64 x y))) (pow.f64 (hypot.f64 x y) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 4 binary64)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (hypot.f64 x y))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 5/2 binary64))) (pow.f64 (hypot.f64 x y) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (sqrt.f64 (hypot.f64 x y)) (pow.f64 (hypot.f64 x y) #s(literal 1/4 binary64))) (pow.f64 (hypot.f64 x y) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 3/2 binary64))) (pow.f64 (hypot.f64 x y) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 5 binary64))) (pow.f64 (hypot.f64 x y) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (cbrt.f64 (hypot.f64 x y)) (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x y))) #s(literal 2 binary64)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x y))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (hypot.f64 x y))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 1/6 binary64))) (pow.f64 (hypot.f64 x y) #s(literal 1/6 binary64)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (hypot.f64 x y) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 (hypot.f64 x y) #s(literal 1 binary64)) (+.f64 (hypot.f64 x y) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (hypot.f64 x y) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 (hypot.f64 x y) #s(literal 1 binary64)) (+.f64 (hypot.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (hypot.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)))
(pow.f64 (hypot.f64 x y) #s(literal 1 binary64))
(pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 x y)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (hypot.f64 x y)))
(pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 x y)) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (hypot.f64 x y))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 x y)))) (sqrt.f64 (log.f64 (hypot.f64 x y))))
(sqrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))
(fabs.f64 (hypot.f64 x y))
(log.f64 (exp.f64 (hypot.f64 x y)))
(cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 x y)))
(log1p.f64 (expm1.f64 (hypot.f64 x y)))
(exp.f64 (log.f64 (hypot.f64 x y)))
(exp.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 x y)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 x y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (hypot.f64 x y))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 x y))) #s(literal 2 binary64)))

simplify94.0ms (4.6%)

Memory
-9.5MiB live, 110.0MiB allocated
Algorithm
egg-herbie
Rules
724×fma-define
466×distribute-lft-in
435×distribute-rgt-in
255×fmm-def
245×*-commutative
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02513078
15603018
217102984
357812898
Stop Event
node limit
Counts
82 → 164
Calls
Call 1
Inputs
y
(+.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(+.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))
(+.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.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 y #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))
x
(*.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))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.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)))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.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))))))))
(*.f64 #s(literal -1 binary64) x)
(*.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)))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.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))))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.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)))))))))
x
(+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(+.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(+.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.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 x #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
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))))))
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.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)))))))
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (+.f64 (*.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))))))))
(*.f64 #s(literal -1 binary64) 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)))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.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))))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (+.f64 (*.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)))))))))
(+.f64 (+.f64 (hypot.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (hypot.f64 x y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 x y))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x y)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x y)))))
(-.f64 (+.f64 (hypot.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (hypot.f64 x y) #s(literal 1 binary64))
(*.f64 (hypot.f64 x y) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (hypot.f64 x y))
(*.f64 (cbrt.f64 (hypot.f64 x y)) (pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (hypot.f64 x y)) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (hypot.f64 x y)))
(*.f64 (sqrt.f64 (hypot.f64 x y)) (sqrt.f64 (hypot.f64 x y)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x y))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x y))) (pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (hypot.f64 x y))))
(*.f64 (pow.f64 (hypot.f64 x y) #s(literal 1/6 binary64)) (*.f64 (pow.f64 (hypot.f64 x y) #s(literal 1/6 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (hypot.f64 x y) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (hypot.f64 x y) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (hypot.f64 x y) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (hypot.f64 x y) #s(literal 1/4 binary64)) (sqrt.f64 (hypot.f64 x y))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (hypot.f64 x y))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 4 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (hypot.f64 x y)))
(*.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 5 binary64)) #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (hypot.f64 x y))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (hypot.f64 x y))))
(*.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (sqrt.f64 (hypot.f64 x y)) (cbrt.f64 (hypot.f64 x y))) (pow.f64 (hypot.f64 x y) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 4 binary64)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (hypot.f64 x y))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 5/2 binary64))) (pow.f64 (hypot.f64 x y) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (sqrt.f64 (hypot.f64 x y)) (pow.f64 (hypot.f64 x y) #s(literal 1/4 binary64))) (pow.f64 (hypot.f64 x y) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 3/2 binary64))) (pow.f64 (hypot.f64 x y) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 5 binary64))) (pow.f64 (hypot.f64 x y) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (cbrt.f64 (hypot.f64 x y)) (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x y))) #s(literal 2 binary64)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x y))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (hypot.f64 x y))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 1/6 binary64))) (pow.f64 (hypot.f64 x y) #s(literal 1/6 binary64)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (hypot.f64 x y) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 (hypot.f64 x y) #s(literal 1 binary64)) (+.f64 (hypot.f64 x y) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (hypot.f64 x y) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 (hypot.f64 x y) #s(literal 1 binary64)) (+.f64 (hypot.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (hypot.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)))
(pow.f64 (hypot.f64 x y) #s(literal 1 binary64))
(pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 x y)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (hypot.f64 x y)))
(pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 x y)) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (hypot.f64 x y))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 x y)))) (sqrt.f64 (log.f64 (hypot.f64 x y))))
(sqrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))
(fabs.f64 (hypot.f64 x y))
(log.f64 (exp.f64 (hypot.f64 x y)))
(cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 x y)))
(log1p.f64 (expm1.f64 (hypot.f64 x y)))
(exp.f64 (log.f64 (hypot.f64 x y)))
(exp.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 x y)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 x y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (hypot.f64 x y))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 x y))) #s(literal 2 binary64)))
Outputs
y
(+.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y)
(+.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))
(+.f64 y (*.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 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) y))))
(fma.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 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) y)) y)
(+.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.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 y #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))
(+.f64 y (*.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 y #s(literal 5 binary64)))) (/.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) y))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) y)) y)
(fma.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/16 binary64) (pow.f64 y #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) y)) y)
x
(*.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))))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #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)) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.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)))))))
(*.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)))))))
(*.f64 x (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.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))))))))
(*.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))))))))
(*.f64 x (+.f64 (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 1/16 binary64) (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 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 1/16 binary64) (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))))) x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.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)))))))
(*.f64 (neg.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))))))
(*.f64 x (neg.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))
(-.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))) x)
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(*.f64 (pow.f64 (hypot.f64 x y) #s(literal 1/6 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 5/2 binary64))))
(*.f64 (pow.f64 (hypot.f64 y x) #s(literal 1/6 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 y x) #s(literal 5/2 binary64))))
(*.f64 (*.f64 (sqrt.f64 (hypot.f64 x y)) (pow.f64 (hypot.f64 x y) #s(literal 1/4 binary64))) (pow.f64 (hypot.f64 x y) #s(literal 1/4 binary64)))
(hypot.f64 x y)
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(*.f64 (pow.f64 (hypot.f64 x y) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (hypot.f64 y x) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (hypot.f64 y x) #s(literal 3/2 binary64))))
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(*.f64 (pow.f64 (hypot.f64 x y) #s(literal 1/6 binary64)) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 5 binary64))))
(*.f64 (pow.f64 (hypot.f64 y x) #s(literal 1/6 binary64)) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 y x)) #s(literal 5 binary64))))
(*.f64 (*.f64 (cbrt.f64 (hypot.f64 x y)) (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x y))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 4 binary64))) (*.f64 (cbrt.f64 (hypot.f64 x y)) (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x y))) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x y))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (hypot.f64 x y)) (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 4 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 y x))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (hypot.f64 y x)) (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 y x)) #s(literal 4 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 y x)) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 y x))) #s(literal 5 binary64)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x y))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (hypot.f64 x y))))
(hypot.f64 x y)
(hypot.f64 y x)
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 1/6 binary64))) (pow.f64 (hypot.f64 x y) #s(literal 1/6 binary64)))
(hypot.f64 x y)
(hypot.f64 y x)
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (hypot.f64 x y) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 (hypot.f64 x y) #s(literal 1 binary64)) (+.f64 (hypot.f64 x y) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (hypot.f64 x y) #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (hypot.f64 x y)) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) (hypot.f64 x y)) (+.f64 #s(literal 1 binary64) (hypot.f64 x y)) (+.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (hypot.f64 x y)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) (hypot.f64 x y)) (+.f64 #s(literal 1 binary64) (hypot.f64 x y)) (+.f64 #s(literal 2 binary64) (hypot.f64 x y))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (hypot.f64 y x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (hypot.f64 y x)) (+.f64 #s(literal 2 binary64) (hypot.f64 y x)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (hypot.f64 y x)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) (hypot.f64 y x)) (+.f64 #s(literal 2 binary64) (hypot.f64 y x)) #s(literal 1 binary64)))
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(hypot.f64 x y)
(hypot.f64 y x)
(pow.f64 (hypot.f64 x y) #s(literal 1 binary64))
(hypot.f64 x y)
(hypot.f64 y x)
(pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(hypot.f64 x y)
(hypot.f64 y x)
(pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 3 binary64))
(hypot.f64 x y)
(hypot.f64 y x)
(pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(hypot.f64 x y)
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(pow.f64 (sqrt.f64 (hypot.f64 x y)) #s(literal 2 binary64))
(hypot.f64 x y)
(hypot.f64 y x)
(pow.f64 (E.f64) (log.f64 (hypot.f64 x y)))
(hypot.f64 x y)
(hypot.f64 y x)
(pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 x y)) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (hypot.f64 x y))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 y x)) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (hypot.f64 y x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 x y)))) (sqrt.f64 (log.f64 (hypot.f64 x y))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 y x)))) (sqrt.f64 (log.f64 (hypot.f64 y x))))
(sqrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))
(hypot.f64 x y)
(hypot.f64 y x)
(fabs.f64 (hypot.f64 x y))
(hypot.f64 x y)
(hypot.f64 y x)
(log.f64 (exp.f64 (hypot.f64 x y)))
(hypot.f64 x y)
(hypot.f64 y x)
(cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 3 binary64)))
(hypot.f64 x y)
(hypot.f64 y x)
(expm1.f64 (log1p.f64 (hypot.f64 x y)))
(hypot.f64 x y)
(hypot.f64 y x)
(log1p.f64 (expm1.f64 (hypot.f64 x y)))
(hypot.f64 x y)
(hypot.f64 y x)
(exp.f64 (log.f64 (hypot.f64 x y)))
(hypot.f64 x y)
(hypot.f64 y x)
(exp.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 x y)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(hypot.f64 x y)
(hypot.f64 y x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 x y))) #s(literal 3 binary64)))
(hypot.f64 x y)
(hypot.f64 y x)
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (hypot.f64 x y))) #s(literal 1/3 binary64)))
(hypot.f64 x y)
(hypot.f64 y x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 x y))) #s(literal 2 binary64)))
(hypot.f64 x y)
(hypot.f64 y x)

eval22.0ms (1.1%)

Memory
7.0MiB live, 44.1MiB allocated
Compiler

Compiled 2 682 to 462 computations (82.8% saved)

prune23.0ms (1.1%)

Memory
9.4MiB live, 46.7MiB allocated
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1631164
Fresh000
Picked011
Done000
Total1632165
Accuracy
100.0%
Counts
165 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(hypot.f64 x y)
99.3%
y
Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify5.0ms (0.3%)

Memory
3.5MiB live, 3.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044
Stop Event
saturated
Calls
Call 1
Inputs
y
Outputs
y

localize11.0ms (0.5%)

Memory
-27.1MiB live, 10.3MiB allocated
Samples
9.0ms256×0valid
Compiler

Compiled 3 to 4 computations (-33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0.1%)

Memory
2.7MiB live, 2.7MiB allocated
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done011
Total022
Accuracy
100.0%
Counts
2 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(hypot.f64 x y)
99.3%
y
Compiler

Compiled 22 to 12 computations (45.5% saved)

regimes10.0ms (0.5%)

Memory
18.9MiB live, 18.9MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
y
(hypot.f64 x y)
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))
Outputs
(hypot.f64 x y)
Calls

6 calls:

2.0ms
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))
2.0ms
y
2.0ms
x
2.0ms
(*.f64 y y)
2.0ms
(+.f64 (*.f64 x x) (*.f64 y y))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))
100.0%1(+.f64 (*.f64 x x) (*.f64 y y))
100.0%1(*.f64 x x)
100.0%1(*.f64 y y)
Compiler

Compiled 35 to 21 computations (40% saved)

regimes3.0ms (0.1%)

Memory
5.3MiB live, 5.3MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
y
Outputs
y
Calls

2 calls:

1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
99.3%1x
99.3%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify2.0ms (0.1%)

Memory
2.0MiB live, 2.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0817
Stop Event
saturated
Calls
Call 1
Inputs
(hypot.f64 x y)
y
Outputs
(hypot.f64 x y)
y

soundness26.0ms (1.3%)

Memory
-30.3MiB live, 12.7MiB allocated
Rules
52×fmm-def
45×fma-define
16×distribute-lft-neg-in
15×neg-sub0
12×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02499
15199
29899
318799
428499
532399
633399
Stop Event
done
saturated
Compiler

Compiled 19 to 10 computations (47.4% saved)

preprocess40.0ms (1.9%)

Memory
24.5MiB live, 101.4MiB allocated
Remove

(sort x y)

(abs y)

(abs x)

Compiler

Compiled 164 to 98 computations (40.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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