Data.Octree.Internal:octantDistance from Octree-0.5.4.2

Time bar (total: 1.9s)

analyze0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
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)

sample1.1s (58%)

Memory
-2.0MiB live, 756.4MiB allocated
Samples
833.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 437.0ms
ival-hypot: 429.0ms (98.1% of total)
ival-true: 6.0ms (1.4% of total)
ival-assert: 3.0ms (0.7% of total)
Bogosity

preprocess50.0ms (2.6%)

Memory
7.2MiB live, 127.6MiB 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)

explain92.0ms (4.8%)

Memory
2.1MiB live, 223.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1130-0-(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-rescue990
(*.f64 y y)overflow99
(*.f64 x x)overflow13
(+.f64 (*.f64 x x) (*.f64 y y))overflow99
sqrt.f64(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))uflow-rescue140
(*.f64 y y)underflow14
(*.f64 x x)underflow111
(+.f64 (*.f64 x x) (*.f64 y y))underflow14
Confusion
Predicted +Predicted -
+1130
-0143
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+11300
-00143
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0143
1113
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
39.0ms512×0valid
Compiler

Compiled 70 to 28 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-hypot: 8.0ms (43.7% of total)
ival-mult: 7.0ms (38.2% of total)
ival-add: 2.0ms (10.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Compiler

Compiled 5 to 3 computations (40% saved)

prune1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(hypot.f64 x y)
Compiler

Compiled 5 to 3 computations (40% saved)

simplify10.0ms (0.5%)

Memory
-29.3MiB live, 9.1MiB 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

localize13.0ms (0.7%)

Memory
33.7MiB live, 33.7MiB 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 (96.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.4%)

Memory
-31.6MiB live, 13.3MiB 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
3.0ms
x
@inf
(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
x
@0
(sqrt (+ (* x x) (* y y)))
1.0ms
y
@0
(sqrt (+ (* x x) (* y y)))

rewrite338.0ms (17.6%)

Memory
22.3MiB live, 294.5MiB 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)))

simplify90.0ms (4.7%)

Memory
-0.8MiB live, 80.9MiB 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)
(*.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))))))))
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(*.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 y x))) (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 y x)) #s(literal 8 binary64))))
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(*.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))))
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(*.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))))
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(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)))))
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(/.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))))
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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)
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(hypot.f64 x y)
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(hypot.f64 x y)
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(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)

eval19.0ms (1%)

Memory
2.0MiB live, 40.4MiB allocated
Compiler

Compiled 2 682 to 462 computations (82.8% saved)

prune21.0ms (1.1%)

Memory
6.4MiB live, 45.0MiB 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)
99.4%
y
Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify5.0ms (0.3%)

Memory
4.7MiB live, 4.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

localize59.0ms (3%)

Memory
-32.0MiB live, 14.3MiB allocated
Samples
50.0ms256×0valid
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
2.5MiB live, 2.4MiB 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)
99.4%
y
Compiler

Compiled 22 to 12 computations (45.5% saved)

regimes10.0ms (0.5%)

Memory
20.8MiB live, 20.8MiB 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
x
2.0ms
y
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
6.4MiB live, 6.4MiB 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
99.4%1x
99.4%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify4.0ms (0.2%)

Memory
-35.8MiB live, 3.1MiB 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

soundness22.0ms (1.1%)

Memory
20.2MiB live, 20.2MiB 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)

preprocess64.0ms (3.3%)

Memory
9.7MiB live, 86.5MiB 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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