Data.Array.Repa.Algorithms.Pixel:doubleRmsOfRGB8 from repa-algorithms-3.4.0.1

Time bar (total: 5.3s)

analyze579.0ms (11%)

Algorithm
1×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
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
0%0%99.9%0.1%0%0%0%6
0%0%99.9%0.1%0%0%0%7
0%0%99.9%0.1%0%0%0%8
0%0%99.9%0.1%0%0%0%9
0%0%99.9%0.1%0%0%0%10
0%0%99.9%0.1%0%0%0%11
0%0%99.9%0.1%0%0%0%12
Compiler

Compiled 16 to 13 computations (18.8% saved)

sample1.7s (31.6%)

Results
1.4s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 694.0ms
ival-mult: 343.0ms (49.4% of total)
ival-div: 162.0ms (23.3% of total)
ival-add: 116.0ms (16.7% of total)
ival-sqrt: 60.0ms (8.6% of total)
ival-true: 6.0ms (0.9% of total)
ival-assert: 5.0ms (0.7% of total)
...in/eval/compile.rkt:76:19: 3.0ms (0.4% of total)
Bogosity

preprocess102.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
696×fmm-def
285×fma-define
111×cancel-sign-sub
88×div-sub
75×sub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
050617
192573
2184573
3414573
4788573
51226573
61834573
72225573
Stop Event
1×saturated
Calls
Call 1
Inputs
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 (neg.f64 y) (neg.f64 y))) (*.f64 z z)) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (neg.f64 z) (neg.f64 z))) #s(literal 3 binary64)))
(neg.f64 (sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))))
(neg.f64 (sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 (neg.f64 y) (neg.f64 y))) (*.f64 z z)) #s(literal 3 binary64))))
(neg.f64 (sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (neg.f64 z) (neg.f64 z))) #s(literal 3 binary64))))
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (*.f64 z z)) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 z z)) (*.f64 y y)) #s(literal 3 binary64)))
Outputs
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (+.f64 (*.f64 x x) (fma.f64 z z (*.f64 y y))) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (fma.f64 x x (fma.f64 y y (*.f64 z z))) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 3 binary64)))
(sqrt.f64 (*.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 1/3 binary64)))
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (+.f64 (*.f64 x x) (fma.f64 z z (*.f64 y y))) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (fma.f64 x x (fma.f64 y y (*.f64 z z))) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 3 binary64)))
(sqrt.f64 (*.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 1/3 binary64)))
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (+.f64 (*.f64 x x) (fma.f64 z z (*.f64 y y))) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (fma.f64 x x (fma.f64 y y (*.f64 z z))) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 3 binary64)))
(sqrt.f64 (*.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 1/3 binary64)))
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 (neg.f64 y) (neg.f64 y))) (*.f64 z z)) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (+.f64 (*.f64 x x) (fma.f64 z z (*.f64 y y))) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (fma.f64 x x (fma.f64 y y (*.f64 z z))) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 3 binary64)))
(sqrt.f64 (*.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 1/3 binary64)))
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (neg.f64 z) (neg.f64 z))) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (+.f64 (*.f64 x x) (fma.f64 z z (*.f64 y y))) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (fma.f64 x x (fma.f64 y y (*.f64 z z))) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 3 binary64)))
(sqrt.f64 (*.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 1/3 binary64)))
(neg.f64 (sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))))
(neg.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 x x) (fma.f64 z z (*.f64 y y))) #s(literal 3 binary64))))
(neg.f64 (sqrt.f64 (/.f64 (fma.f64 x x (fma.f64 y y (*.f64 z z))) #s(literal 3 binary64))))
(neg.f64 (sqrt.f64 (/.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 3 binary64))))
(neg.f64 (sqrt.f64 (*.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 1/3 binary64))))
(neg.f64 (sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 (neg.f64 y) (neg.f64 y))) (*.f64 z z)) #s(literal 3 binary64))))
(neg.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 x x) (fma.f64 z z (*.f64 y y))) #s(literal 3 binary64))))
(neg.f64 (sqrt.f64 (/.f64 (fma.f64 x x (fma.f64 y y (*.f64 z z))) #s(literal 3 binary64))))
(neg.f64 (sqrt.f64 (/.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 3 binary64))))
(neg.f64 (sqrt.f64 (*.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 1/3 binary64))))
(neg.f64 (sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (neg.f64 z) (neg.f64 z))) #s(literal 3 binary64))))
(neg.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 x x) (fma.f64 z z (*.f64 y y))) #s(literal 3 binary64))))
(neg.f64 (sqrt.f64 (/.f64 (fma.f64 x x (fma.f64 y y (*.f64 z z))) #s(literal 3 binary64))))
(neg.f64 (sqrt.f64 (/.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 3 binary64))))
(neg.f64 (sqrt.f64 (*.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 1/3 binary64))))
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (*.f64 z z)) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (+.f64 (*.f64 x x) (fma.f64 z z (*.f64 y y))) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (fma.f64 x x (fma.f64 y y (*.f64 z z))) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 3 binary64)))
(sqrt.f64 (*.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 1/3 binary64)))
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (+.f64 (*.f64 x x) (fma.f64 z z (*.f64 y y))) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (fma.f64 x x (fma.f64 y y (*.f64 z z))) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 3 binary64)))
(sqrt.f64 (*.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 1/3 binary64)))
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 z z)) (*.f64 y y)) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (+.f64 (*.f64 x x) (fma.f64 z z (*.f64 y y))) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (fma.f64 x x (fma.f64 y y (*.f64 z z))) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 3 binary64)))
(sqrt.f64 (*.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 1/3 binary64)))
Symmetry

(abs x)

(abs y)

(abs z)

(sort x y z)

explain208.0ms (4%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1380-0-(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
00-0-(/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))
00-0-#s(literal 3 binary64)
00-0-z
00-0-(*.f64 x x)
00-0-(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
00-0-(+.f64 (*.f64 x x) (*.f64 y y))
00-0-(*.f64 z z)
00-0-y
00-0-(*.f64 y y)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))oflow-rescue1380
↳(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))overflow138
↳(*.f64 y y)overflow37
↳(*.f64 x x)overflow3
↳(*.f64 z z)overflow138
↳(+.f64 (*.f64 x x) (*.f64 y y))overflow37
↳(/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))overflow138
Confusion
Predicted +Predicted -
+1380
-0118
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+13800
-00118
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0118
1138
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Results
41.0ms512×0valid
Compiler

Compiled 154 to 48 computations (68.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-mult: 10.0ms (43.3% of total)
ival-div: 4.0ms (17.3% of total)
ival-add: 4.0ms (17.3% of total)
ival-sqrt: 4.0ms (17.3% of total)
...in/eval/compile.rkt:76:19: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler

Compiled 52 to 22 computations (57.7% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶49.7%
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
▶49.7%
(sqrt.f64 (*.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 1/3 binary64)))
Compiler

Compiled 32 to 20 computations (37.5% saved)

simplify14.0ms (0.3%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff-6272
(+.f64 (*.f64 x x) (*.f64 y y))
✓cost-diff0
(*.f64 z z)
✓cost-diff0
(*.f64 y y)
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(fma.f64 x x (*.f64 z z))
✓cost-diff0
(fma.f64 y y (fma.f64 x x (*.f64 z z)))
✓cost-diff0
(*.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 1/3 binary64))
✓cost-diff0
(sqrt.f64 (*.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 1/3 binary64)))
Rules
49×fma-define
14×*-commutative
12×distribute-rgt-in
12×distribute-lft-in
6×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
024418
132410
249410
380410
4124410
5157410
Stop Event
1×saturated
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 1/3 binary64)))
(*.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 1/3 binary64))
(fma.f64 y y (fma.f64 x x (*.f64 z z)))
y
(fma.f64 x x (*.f64 z z))
x
(*.f64 z z)
z
#s(literal 1/3 binary64)
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
(/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))
(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
(+.f64 (*.f64 x x) (*.f64 y y))
(*.f64 x x)
x
(*.f64 y y)
y
(*.f64 z z)
z
#s(literal 3 binary64)
Outputs
(sqrt.f64 (*.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 1/3 binary64)))
(*.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 1/3 binary64))
(fma.f64 y y (fma.f64 x x (*.f64 z z)))
y
(fma.f64 x x (*.f64 z z))
x
(*.f64 z z)
z
#s(literal 1/3 binary64)
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (+.f64 (*.f64 z z) (fma.f64 x x (*.f64 y y))) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 3 binary64)))
(/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))
(/.f64 (+.f64 (*.f64 z z) (fma.f64 x x (*.f64 y y))) #s(literal 3 binary64))
(/.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 3 binary64))
(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
(fma.f64 y y (fma.f64 x x (*.f64 z z)))
(+.f64 (*.f64 x x) (*.f64 y y))
(fma.f64 x x (*.f64 y y))
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
x
(*.f64 y y)
y
(*.f64 z z)
z
#s(literal 3 binary64)

localize54.0ms (1%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(+.f64 (*.f64 x x) (*.f64 y y))
✓accuracy99.8%
(/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))
✓accuracy49.8%
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
✓accuracy100.0%
(fma.f64 x x (*.f64 z z))
✓accuracy100.0%
(*.f64 z z)
✓accuracy99.7%
(*.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 1/3 binary64))
✓accuracy49.8%
(sqrt.f64 (*.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 1/3 binary64)))
Results
32.0ms256×0valid
Compiler

Compiled 105 to 18 computations (82.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult: 7.0ms (35.4% of total)
ival-add: 4.0ms (20.2% of total)
ival-sqrt: 4.0ms (20.2% of total)
...in/eval/compile.rkt:77:19: 3.0ms (15.2% of total)
ival-div: 2.0ms (10.1% of total)
...in/eval/compile.rkt:76:19: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series35.0ms (0.7%)

Counts
10 → 264
Calls
Call 1
Inputs
#<alt (sqrt.f64 (*.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 1/3 binary64)))>
#<alt (*.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 1/3 binary64))>
#<alt (fma.f64 y y (fma.f64 x x (*.f64 z z)))>
#<alt (fma.f64 x x (*.f64 z z))>
#<alt (*.f64 x x)>
#<alt (*.f64 y y)>
#<alt (*.f64 z z)>
#<alt (+.f64 (*.f64 x x) (*.f64 y y))>
#<alt (sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))>
#<alt (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))>
Outputs
#<alt (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (+.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))))>
#<alt (+.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 5 binary64)))))))))))>
#<alt (*.f64 y (sqrt.f64 #s(literal 1/3 binary64)))>
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#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))>
Calls

66 calls:

TimeVariablePointExpression
3.0ms
z
@inf
(sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3))
3.0ms
y
@0
(* (+ (* y y) (+ (* x x) (* z z))) 1/3)
2.0ms
z
@0
(sqrt (* (+ (* y y) (+ (* x x) (* z z))) 1/3))
2.0ms
y
@0
(sqrt (* (+ (* y y) (+ (* x x) (* z z))) 1/3))
1.0ms
x
@0
(sqrt (* (+ (* y y) (+ (* x x) (* z z))) 1/3))

rewrite386.0ms (7.3%)

Algorithm
1×batch-egg-rewrite
Rules
813×log1p-expm1-u
813×expm1-log1p-u
545×fma-define
277×fmm-def
214×log1p-undefine
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
024300
1319228
24278228
Stop Event
1×node limit
Counts
10 → 287
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 1/3 binary64)))
(*.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 1/3 binary64))
(fma.f64 y y (fma.f64 x x (*.f64 z z)))
(fma.f64 x x (*.f64 z z))
(*.f64 x x)
(*.f64 y y)
(*.f64 z z)
(+.f64 (*.f64 x x) (*.f64 y y))
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
(/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))))) #s(literal 1 binary64))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))) (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))) (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))
(*.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 (hypot.f64 z (hypot.f64 y x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))) (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 3 binary64)) (hypot.f64 z (hypot.f64 y x))))
(/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (sqrt.f64 (neg.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))) (sqrt.f64 #s(literal -3 binary64)))
(/.f64 (neg.f64 (hypot.f64 z (hypot.f64 y x))) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(pow.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))) #s(literal 2 binary64))
(fabs.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))))
(log.f64 (exp.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 x z) #s(literal 2 binary64))))
(+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/3 binary64)) (*.f64 (pow.f64 (hypot.f64 x z) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))))) #s(literal 1 binary64))
(/.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)) #s(literal 3 binary64))
(/.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 (neg.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) #s(literal -3 binary64))
(/.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 #s(literal 3 binary64) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))) (pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (*.f64 #s(literal 3 binary64) (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))) #s(literal 3 binary64))
(/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))) (hypot.f64 z (hypot.f64 y x))) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) #s(literal 1/3 binary64)) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))) (pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (*.f64 (hypot.f64 z (hypot.f64 y x)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))) (sqrt.f64 #s(literal 3 binary64)))
(pow.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)) #s(literal -3 binary64)))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 x z) #s(literal 2 binary64))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/3 binary64) (*.f64 (pow.f64 (hypot.f64 x z) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))
(+.f64 (pow.f64 (hypot.f64 x z) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 y y (pow.f64 z #s(literal 2 binary64))))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (fma.f64 y y (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (hypot.f64 x z) #s(literal 2 binary64)))
(+.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(+.f64 (fma.f64 y y (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))))
(*.f64 (hypot.f64 z (hypot.f64 y x)) (hypot.f64 z (hypot.f64 y x)))
(*.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))) (pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))) (pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 (pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))) (pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64))))
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(log.f64 (exp.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 x z) #s(literal 2 binary64))))
(+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/3 binary64)) (*.f64 (pow.f64 (hypot.f64 x z) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)) #s(literal 1/3 binary64))
(*.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))) (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) #s(literal 3 binary64)))
(*.f64 (hypot.f64 z (hypot.f64 y x)) (*.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 1/3 binary64)))
(*.f64 (hypot.f64 z (hypot.f64 y x)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))))
(*.f64 (hypot.f64 z (hypot.f64 y x)) (/.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 3 binary64)))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))) (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))))
(*.f64 (neg.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) #s(literal -1/3 binary64))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))) (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))))) (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))) (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))))) (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))))
(*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 1/3 binary64) (hypot.f64 z (hypot.f64 y x))) (hypot.f64 z (hypot.f64 y x)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))) (hypot.f64 z (hypot.f64 y x))) (sqrt.f64 #s(literal 1/3 binary64)))
(pow.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)) #s(literal -3 binary64)))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 x z) #s(literal 2 binary64))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/3 binary64) (*.f64 (pow.f64 (hypot.f64 x z) #s(literal 2 binary64)) #s(literal 1/3 binary64)))

simplify306.0ms (5.8%)

Algorithm
1×egg-herbie
Rules
969×times-frac
464×associate-*r*
399×associate-*l*
283×fma-define
282×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
068227387
1161724472
2545524472
Stop Event
1×node limit
Counts
551 → 419
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(+.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))))
(+.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 5 binary64)))))))))))
(*.f64 y (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64)))))))
(*.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))) (pow.f64 y #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))) (pow.f64 y #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64)))))))))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(+.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))))
(+.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 5 binary64)))))))))))
(*.f64 x (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 x (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 x (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 1/3 binary64))))
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(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(fma.f64 x x (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) x) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 y (sqrt.f64 y)) (sqrt.f64 y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))))) #s(literal 1 binary64))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))) (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))) (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))
(*.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 (hypot.f64 z (hypot.f64 y x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))) (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 3 binary64)) (hypot.f64 z (hypot.f64 y x))))
(/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (sqrt.f64 (neg.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))) (sqrt.f64 #s(literal -3 binary64)))
(/.f64 (neg.f64 (hypot.f64 z (hypot.f64 y x))) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(pow.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))) #s(literal 2 binary64))
(fabs.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))))
(log.f64 (exp.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 x z) #s(literal 2 binary64))))
(+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/3 binary64)) (*.f64 (pow.f64 (hypot.f64 x z) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)) #s(literal 1/3 binary64))
(*.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))) (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) #s(literal 3 binary64)))
(*.f64 (hypot.f64 z (hypot.f64 y x)) (*.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 1/3 binary64)))
(*.f64 (hypot.f64 z (hypot.f64 y x)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))))
(*.f64 (hypot.f64 z (hypot.f64 y x)) (/.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 3 binary64)))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))) (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))))
(*.f64 (neg.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) #s(literal -1/3 binary64))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))) (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))))) (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))) (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))))) (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))))
(*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 1/3 binary64) (hypot.f64 z (hypot.f64 y x))) (hypot.f64 z (hypot.f64 y x)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))) (hypot.f64 z (hypot.f64 y x))) (sqrt.f64 #s(literal 1/3 binary64)))
(pow.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)) #s(literal -3 binary64)))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 x z) #s(literal 2 binary64))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/3 binary64) (*.f64 (pow.f64 (hypot.f64 x z) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
Outputs
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 x z))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 x z)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 y #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x z) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 x z)))
(+.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))))
(fma.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 x z) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x z) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (hypot.f64 x z) #s(literal 2 binary64)) #s(literal 3 binary64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal -1/8 binary64)) (pow.f64 y #s(literal 2 binary64))))) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 x z)))
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(*.f64 (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))) (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 x y)) #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 x y)))) #s(literal 4 binary64)))
(*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))))
(*.f64 #s(literal 1/3 binary64) (+.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 x y)) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/3 binary64) (hypot.f64 z (hypot.f64 y x))) (hypot.f64 z (hypot.f64 y x)))
(*.f64 #s(literal 1/3 binary64) (+.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 x y)) #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))) (hypot.f64 z (hypot.f64 y x))) (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/3 binary64) (+.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 x y)) #s(literal 2 binary64)))
(pow.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1/3 binary64) (+.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 x y)) #s(literal 2 binary64)))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))) #s(literal 2 binary64))
(*.f64 #s(literal 1/3 binary64) (+.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 x y)) #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))) #s(literal 3 binary64))
(*.f64 #s(literal 1/3 binary64) (+.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 x y)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (+.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 x y)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/3 binary64) (+.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 x y)) #s(literal 2 binary64)))
(pow.f64 (/.f64 #s(literal 3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1/3 binary64) (+.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 x y)) #s(literal 2 binary64)))
(neg.f64 (/.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)) #s(literal -3 binary64)))
(*.f64 #s(literal 1/3 binary64) (+.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 x y)) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/3 binary64) (+.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 x y)) #s(literal 2 binary64)))
(log.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))))
(*.f64 #s(literal 1/3 binary64) (+.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 x y)) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))))))
(*.f64 #s(literal 1/3 binary64) (+.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 x y)) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) #s(literal 3 binary64)))
(*.f64 #s(literal 1/3 binary64) (+.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 x y)) #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 x y)) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))))
(*.f64 #s(literal 1/3 binary64) (+.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 x y)) #s(literal 2 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))))
(*.f64 #s(literal 1/3 binary64) (+.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 x y)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/3 binary64) (+.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 x y)) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 x z) #s(literal 2 binary64))))
(*.f64 #s(literal 1/3 binary64) (+.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 x y)) #s(literal 2 binary64)))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/3 binary64) (*.f64 (pow.f64 (hypot.f64 x z) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/3 binary64) (+.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 x y)) #s(literal 2 binary64)))

eval57.0ms (1.1%)

Compiler

Compiled 9145 to 1729 computations (81.1% saved)

prune67.0ms (1.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New4293432
Fresh000
Picked112
Done000
Total4304434
Accuracy
100.0%
Counts
434 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.4%
(/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))
▶99.5%
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))
▶97.8%
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)
✓49.7%
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
Compiler

Compiled 44 to 32 computations (27.3% saved)

simplify9.0ms (0.2%)

Algorithm
1×egg-herbie
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sqrt.f64 #s(literal 3 binary64))
✓cost-diff0
(hypot.f64 y x)
✓cost-diff0
(hypot.f64 z (hypot.f64 y x))
✓cost-diff0
(/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))
✓cost-diff0
(hypot.f64 z y)
✓cost-diff0
(sqrt.f64 #s(literal 1/3 binary64))
✓cost-diff0
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))
✓cost-diff0
(sqrt.f64 #s(literal 1/3 binary64))
✓cost-diff0
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)
Rules
10×fma-define
4×+-commutative
3×associate-+r+
3×hypot-define
3×associate-+l+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020159
132159
240159
353159
459159
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)
(sqrt.f64 #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
z
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))
(sqrt.f64 #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
(hypot.f64 z y)
z
y
(/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))
(hypot.f64 z (hypot.f64 y x))
z
(hypot.f64 y x)
y
x
(sqrt.f64 #s(literal 3 binary64))
#s(literal 3 binary64)
Outputs
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)
(sqrt.f64 #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
z
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))
(sqrt.f64 #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
(hypot.f64 z y)
z
y
(/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))
(hypot.f64 z (hypot.f64 y x))
z
(hypot.f64 y x)
y
x
(sqrt.f64 #s(literal 3 binary64))
#s(literal 3 binary64)

localize53.0ms (1%)

Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(hypot.f64 z (hypot.f64 y x))
✓accuracy100.0%
(hypot.f64 y x)
✓accuracy100.0%
(sqrt.f64 #s(literal 3 binary64))
✓accuracy99.4%
(/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))
✓accuracy100.0%
(hypot.f64 z y)
✓accuracy100.0%
(sqrt.f64 #s(literal 1/3 binary64))
✓accuracy99.5%
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))
✓accuracy100.0%
(sqrt.f64 #s(literal 1/3 binary64))
✓accuracy99.5%
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)
Results
37.0ms256×0valid
Compiler

Compiled 46 to 15 computations (67.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-hypot: 12.0ms (48.2% of total)
ival-sqrt: 4.0ms (16.1% of total)
...in/eval/compile.rkt:77:19: 4.0ms (16.1% of total)
ival-mult: 3.0ms (12% of total)
ival-div: 2.0ms (8% of total)
...in/eval/compile.rkt:76:19: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series115.0ms (2.2%)

Counts
8 → 156
Calls
Call 1
Inputs
#<alt (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)>
#<alt (sqrt.f64 #s(literal 1/3 binary64))>
#<alt (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))>
#<alt (hypot.f64 z y)>
#<alt (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))>
#<alt (hypot.f64 z (hypot.f64 y x))>
#<alt (hypot.f64 y x)>
#<alt (sqrt.f64 #s(literal 3 binary64))>
Outputs
#<alt (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))>
#<alt (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))>
#<alt (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))>
#<alt (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))>
#<alt (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))>
#<alt (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))>
#<alt (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))>
#<alt (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))>
#<alt (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))>
#<alt (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))>
#<alt (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))>
#<alt (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))>
#<alt (*.f64 y (sqrt.f64 #s(literal 1/3 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) y)) (*.f64 y (sqrt.f64 #s(literal 1/3 binary64))))>
#<alt (+.f64 (*.f64 y (sqrt.f64 #s(literal 1/3 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) y)))))>
#<alt (+.f64 (*.f64 y (sqrt.f64 #s(literal 1/3 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) y)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 y #s(literal 5 binary64)))))))))>
#<alt (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))>
#<alt (*.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 2 binary64)))))))))>
#<alt (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) z)) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))>
#<alt (+.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)))))>
#<alt (+.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 5 binary64)))))))))>
#<alt (*.f64 y (sqrt.f64 #s(literal 1/3 binary64)))>
#<alt (*.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 y #s(literal 2 binary64))))))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 #s(literal 1/3 binary64))))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 y #s(literal 2 binary64))))))))>
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#<alt y>
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#<alt z>
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#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) z)>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))>
#<alt z>
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#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #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 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #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 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #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 z #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 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #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 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))>
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#<alt (/.f64 z (sqrt.f64 #s(literal 3 binary64)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 6 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 z (sqrt.f64 #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 6 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))>
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#<alt (/.f64 y (sqrt.f64 #s(literal 3 binary64)))>
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#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 6 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y (sqrt.f64 #s(literal 3 binary64))))>
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#<alt (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))>
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#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 #s(literal 3 binary64))))>
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#<alt (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
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#<alt z>
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#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))))>
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#<alt (*.f64 #s(literal -1 binary64) z)>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))))>
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#<alt y>
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#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))>
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#<alt (*.f64 #s(literal -1 binary64) y)>
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#<alt (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))>
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#<alt x>
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#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))>
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#<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 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #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 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #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 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #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)))))))))>
#<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)))))))))>
Calls

39 calls:

TimeVariablePointExpression
84.0ms
z
@0
(/ (sqrt (+ (* z z) (* (sqrt (+ (* y y) (* x x))) (sqrt (+ (* y y) (* x x)))))) (sqrt 3))
5.0ms
y
@0
(sqrt (+ (* y y) (* x x)))
1.0ms
z
@0
(sqrt (+ (* z z) (* (sqrt (+ (* y y) (* x x))) (sqrt (+ (* y y) (* x x))))))
1.0ms
z
@0
(* (sqrt 1/3) (sqrt (+ (* z z) (* y y))))
1.0ms
x
@0
(/ (sqrt (+ (* z z) (* (sqrt (+ (* y y) (* x x))) (sqrt (+ (* y y) (* x x)))))) (sqrt 3))

rewrite136.0ms (2.6%)

Algorithm
1×batch-egg-rewrite
Rules
1019×log1p-expm1-u
1019×expm1-log1p-u
570×log-prod
204×expm1-undefine
204×log1p-undefine
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020127
1237127
22857127
Stop Event
1×node limit
Counts
8 → 185
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)
(sqrt.f64 #s(literal 1/3 binary64))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))
(hypot.f64 z y)
(/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))
(hypot.f64 z (hypot.f64 y x))
(hypot.f64 y x)
(sqrt.f64 #s(literal 3 binary64))
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (sqrt.f64 #s(literal 1/3 binary64)))) (cbrt.f64 (pow.f64 (exp.f64 z) (sqrt.f64 #s(literal 1/3 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (sqrt.f64 #s(literal 1/3 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (sqrt.f64 #s(literal 1/3 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (sqrt.f64 #s(literal 1/3 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))) #s(literal 1 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 z) (sqrt.f64 #s(literal 1/3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal 1/3 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/3 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 #s(literal 1/3 binary64)))) (cbrt.f64 (exp.f64 (sqrt.f64 #s(literal 1/3 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 #s(literal 1/3 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 #s(literal 1/3 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 #s(literal 1/3 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 #s(literal 1/3 binary64)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/3 binary64))) (cbrt.f64 #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 1/3 binary64) #s(literal 1/4 binary64)))
(pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(log.f64 (exp.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 #s(literal 1/3 binary64)))))
(cbrt.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal 1/3 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(log1p.f64 (expm1.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(exp.f64 (*.f64 (log.f64 #s(literal 1/3 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 1/3 binary64))) (hypot.f64 z y))) (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 1/3 binary64))) (hypot.f64 z y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 1/3 binary64))) (hypot.f64 z y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 1/3 binary64))) (hypot.f64 z y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 1/3 binary64))) (hypot.f64 z y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z y) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 1/3 binary64))) (hypot.f64 z y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y)))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 (hypot.f64 z y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (hypot.f64 z y) #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal 1/3 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (hypot.f64 z y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (hypot.f64 z y))) (cbrt.f64 (exp.f64 (hypot.f64 z y))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 z y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 z y)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 z y)))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 z y))) #s(literal 1 binary64))
(*.f64 (hypot.f64 z y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (hypot.f64 z y))
(*.f64 (cbrt.f64 (hypot.f64 z y)) (pow.f64 (cbrt.f64 (hypot.f64 z y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 z y)) #s(literal 2 binary64)) (cbrt.f64 (hypot.f64 z y)))
(*.f64 (sqrt.f64 (hypot.f64 z y)) (sqrt.f64 (hypot.f64 z y)))
(pow.f64 (hypot.f64 z y) #s(literal 1 binary64))
(pow.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 z y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 z y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 z y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (hypot.f64 z y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 z y))))
(cbrt.f64 (pow.f64 (hypot.f64 z y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 z y)))
(log1p.f64 (expm1.f64 (hypot.f64 z y)))
(exp.f64 (log.f64 (hypot.f64 z y)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 z y)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64))))) (cbrt.f64 (exp.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64))))) #s(literal 1 binary64))
(*.f64 (hypot.f64 z (hypot.f64 y x)) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 z (hypot.f64 y x))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (hypot.f64 z (hypot.f64 y x))) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 z (hypot.f64 y x))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (hypot.f64 z (hypot.f64 y x))) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))))
(*.f64 (cbrt.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)) #s(literal 3 binary64))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)) #s(literal 3 binary64))) (cbrt.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 (sqrt.f64 (hypot.f64 z (hypot.f64 y x))) (/.f64 (sqrt.f64 (hypot.f64 z (hypot.f64 y x))) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (sqrt.f64 (hypot.f64 z (hypot.f64 y x))) (*.f64 (sqrt.f64 (hypot.f64 z (hypot.f64 y x))) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 (neg.f64 (hypot.f64 z (hypot.f64 y x))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)) (hypot.f64 z (hypot.f64 y x)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) (/.f64 (hypot.f64 z (hypot.f64 y x)) (cbrt.f64 (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) (/.f64 (hypot.f64 z (hypot.f64 y x)) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 z (hypot.f64 y x))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (hypot.f64 z (hypot.f64 y x))) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 z (hypot.f64 y x))) #s(literal 2 binary64)) (cbrt.f64 #s(literal 3 binary64))) (cbrt.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 z (hypot.f64 y x))) #s(literal 2 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) (/.f64 (cbrt.f64 (hypot.f64 z (hypot.f64 y x))) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 (hypot.f64 z (hypot.f64 y x))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (hypot.f64 z (hypot.f64 y x))) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (/.f64 (sqrt.f64 (hypot.f64 z (hypot.f64 y x))) (cbrt.f64 #s(literal 3 binary64))) (/.f64 (sqrt.f64 (hypot.f64 z (hypot.f64 y x))) (cbrt.f64 (sqrt.f64 #s(literal 3 binary64)))))
(pow.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) (hypot.f64 z (hypot.f64 y x))) #s(literal -1 binary64))
(neg.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
(neg.f64 (/.f64 (neg.f64 (hypot.f64 z (hypot.f64 y x))) (sqrt.f64 #s(literal 3 binary64))))
(sqrt.f64 (/.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)) #s(literal 3 binary64)))
(log.f64 (exp.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))))
(expm1.f64 (log1p.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))))
(exp.f64 (log.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (hypot.f64 z (hypot.f64 y x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (hypot.f64 z (hypot.f64 y x)))) (cbrt.f64 (exp.f64 (hypot.f64 z (hypot.f64 y x)))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 z (hypot.f64 y x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 z (hypot.f64 y x))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 z (hypot.f64 y x))))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 z (hypot.f64 y x)))) #s(literal 1 binary64))
(*.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (hypot.f64 z (hypot.f64 y x)))
(*.f64 (cbrt.f64 (hypot.f64 z (hypot.f64 y x))) (pow.f64 (cbrt.f64 (hypot.f64 z (hypot.f64 y x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 z (hypot.f64 y x))) #s(literal 2 binary64)) (cbrt.f64 (hypot.f64 z (hypot.f64 y x))))
(*.f64 (sqrt.f64 (hypot.f64 z (hypot.f64 y x))) (sqrt.f64 (hypot.f64 z (hypot.f64 y x))))
(pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 z (hypot.f64 y x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 z (hypot.f64 y x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (hypot.f64 z (hypot.f64 y x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 z (hypot.f64 y x)))))
(cbrt.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 z (hypot.f64 y x))))
(log1p.f64 (expm1.f64 (hypot.f64 z (hypot.f64 y x))))
(exp.f64 (log.f64 (hypot.f64 z (hypot.f64 y x))))
(exp.f64 (*.f64 (log.f64 (hypot.f64 z (hypot.f64 y x))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (hypot.f64 y x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (hypot.f64 y x))) (cbrt.f64 (exp.f64 (hypot.f64 y x))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 y x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 y x)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 y x)))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 y x))) #s(literal 1 binary64))
(*.f64 (hypot.f64 y x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (hypot.f64 y x))
(*.f64 (cbrt.f64 (hypot.f64 y x)) (pow.f64 (cbrt.f64 (hypot.f64 y x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (hypot.f64 y x)))
(*.f64 (sqrt.f64 (hypot.f64 y x)) (sqrt.f64 (hypot.f64 y x)))
(pow.f64 (hypot.f64 y x) #s(literal 1 binary64))
(pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 y x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 y x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (hypot.f64 y x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 y x))))
(cbrt.f64 (pow.f64 (hypot.f64 y x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 y x)))
(log1p.f64 (expm1.f64 (hypot.f64 y x)))
(exp.f64 (log.f64 (hypot.f64 y x)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 y x)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 3 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 #s(literal 3 binary64)))) (cbrt.f64 (exp.f64 (sqrt.f64 #s(literal 3 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 #s(literal 3 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 #s(literal 3 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 #s(literal 3 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 #s(literal 3 binary64)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 #s(literal 3 binary64))) (cbrt.f64 #s(literal 3 binary64)))
(*.f64 (cbrt.f64 #s(literal 3 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)))
(pow.f64 #s(literal 3 binary64) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(log.f64 (exp.f64 (sqrt.f64 #s(literal 3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 #s(literal 3 binary64)))))
(cbrt.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (sqrt.f64 #s(literal 3 binary64))))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 3 binary64))))
(exp.f64 (*.f64 (log.f64 #s(literal 3 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64)))

simplify184.0ms (3.5%)

Algorithm
1×egg-herbie
Rules
718×fma-define
679×associate-*r*
587×associate-*l*
508×distribute-lft-in
504×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
090117132
1233116228
Stop Event
1×node limit
Counts
341 → 572
Calls
Call 1
Inputs
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 y (sqrt.f64 #s(literal 1/3 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) y)) (*.f64 y (sqrt.f64 #s(literal 1/3 binary64))))
(+.f64 (*.f64 y (sqrt.f64 #s(literal 1/3 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) y)))))
(+.f64 (*.f64 y (sqrt.f64 #s(literal 1/3 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) y)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 y #s(literal 5 binary64)))))))))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 2 binary64)))))))))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) z)) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(+.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)))))
(+.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 5 binary64)))))))))
(*.f64 y (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 y #s(literal 2 binary64)))))))
(*.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 y #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 6 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 y #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 y #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 y #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 y #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 y #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 6 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 y #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 y #s(literal 2 binary64)))))))))
y
(+.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(+.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #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 z #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 z #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)))))
z
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(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 y x)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 y x)))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 y x))) #s(literal 1 binary64))
(*.f64 (hypot.f64 y x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (hypot.f64 y x))
(*.f64 (cbrt.f64 (hypot.f64 y x)) (pow.f64 (cbrt.f64 (hypot.f64 y x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (hypot.f64 y x)))
(*.f64 (sqrt.f64 (hypot.f64 y x)) (sqrt.f64 (hypot.f64 y x)))
(pow.f64 (hypot.f64 y x) #s(literal 1 binary64))
(pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 y x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 y x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (hypot.f64 y x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 y x))))
(cbrt.f64 (pow.f64 (hypot.f64 y x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 y x)))
(log1p.f64 (expm1.f64 (hypot.f64 y x)))
(exp.f64 (log.f64 (hypot.f64 y x)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 y x)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 3 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 #s(literal 3 binary64)))) (cbrt.f64 (exp.f64 (sqrt.f64 #s(literal 3 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 #s(literal 3 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 #s(literal 3 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 #s(literal 3 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 #s(literal 3 binary64)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 #s(literal 3 binary64))) (cbrt.f64 #s(literal 3 binary64)))
(*.f64 (cbrt.f64 #s(literal 3 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)))
(pow.f64 #s(literal 3 binary64) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(log.f64 (exp.f64 (sqrt.f64 #s(literal 3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 #s(literal 3 binary64)))))
(cbrt.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (sqrt.f64 #s(literal 3 binary64))))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 3 binary64))))
(exp.f64 (*.f64 (log.f64 #s(literal 3 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64)))
Outputs
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 y (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) y)
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) y)) (*.f64 y (sqrt.f64 #s(literal 1/3 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) y)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) y))
(fma.f64 (sqrt.f64 #s(literal 1/3 binary64)) y (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) y))))
(+.f64 (*.f64 y (sqrt.f64 #s(literal 1/3 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) y)))))
(fma.f64 y (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) y)))))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) y))) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) y))
(+.f64 (*.f64 y (sqrt.f64 #s(literal 1/3 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) y)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 y #s(literal 5 binary64)))))))))
(fma.f64 y (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) y) (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 y #s(literal 5 binary64))))))))))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 y #s(literal 5 binary64))) #s(literal 1/16 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) y))) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) y))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 z #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 z #s(literal 4 binary64))))))))
(*.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 2 binary64))))))))
(*.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 z #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 y #s(literal 6 binary64)) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))))
(*.f64 z (+.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 z #s(literal 4 binary64)))) (/.f64 (*.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 y #s(literal 6 binary64))) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/3 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 (neg.f64 z) (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 z (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (neg.f64 z) (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/3 binary64))) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 2 binary64))))))))
(*.f64 (neg.f64 z) (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 z #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 z (neg.f64 (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 z #s(literal 4 binary64)))))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 2 binary64)))))))))
(*.f64 (neg.f64 z) (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 z #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 y #s(literal 6 binary64)) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))))
(*.f64 z (neg.f64 (+.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 z #s(literal 4 binary64)))) (/.f64 (*.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 y #s(literal 6 binary64))) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/3 binary64))))))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) z)) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(fma.f64 z (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))))
(+.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)))))
(fma.f64 z (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(+.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 5 binary64)))))))))
(fma.f64 z (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 z #s(literal 3 binary64))) (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 z #s(literal 5 binary64))))))))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 y #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 y (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) y)
(*.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 y #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/3 binary64))))
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(/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))
(*.f64 (neg.f64 (hypot.f64 z (hypot.f64 y x))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
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(/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))
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(/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))
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(pow.f64 (sqrt.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))) #s(literal 2 binary64))
(/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))
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(/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))
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(sqrt.f64 (/.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)) #s(literal 3 binary64)))
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(/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64))))))
(/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))
(cbrt.f64 (pow.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64))) #s(literal 3 binary64)))
(/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))))
(cbrt.f64 (/.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 3 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))))
(/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))
(exp.f64 (log.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))))
(/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))) #s(literal 1 binary64)))
(/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))
(+.f64 #s(literal 0 binary64) (hypot.f64 z (hypot.f64 y x)))
(hypot.f64 z (hypot.f64 y x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (hypot.f64 z (hypot.f64 y x)))) (cbrt.f64 (exp.f64 (hypot.f64 z (hypot.f64 y x)))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 z (hypot.f64 y x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 z (hypot.f64 y x))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 z (hypot.f64 y x))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 z (hypot.f64 y x))))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 z (hypot.f64 y x)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (hypot.f64 z (hypot.f64 y x))))
(*.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 1 binary64))
(hypot.f64 z (hypot.f64 y x))
(*.f64 #s(literal 1 binary64) (hypot.f64 z (hypot.f64 y x)))
(hypot.f64 z (hypot.f64 y x))
(*.f64 (cbrt.f64 (hypot.f64 z (hypot.f64 y x))) (pow.f64 (cbrt.f64 (hypot.f64 z (hypot.f64 y x))) #s(literal 2 binary64)))
(hypot.f64 z (hypot.f64 y x))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 z (hypot.f64 y x))) #s(literal 2 binary64)) (cbrt.f64 (hypot.f64 z (hypot.f64 y x))))
(hypot.f64 z (hypot.f64 y x))
(*.f64 (sqrt.f64 (hypot.f64 z (hypot.f64 y x))) (sqrt.f64 (hypot.f64 z (hypot.f64 y x))))
(hypot.f64 z (hypot.f64 y x))
(pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 1 binary64))
(hypot.f64 z (hypot.f64 y x))
(pow.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(hypot.f64 z (hypot.f64 y x))
(pow.f64 (cbrt.f64 (hypot.f64 z (hypot.f64 y x))) #s(literal 3 binary64))
(hypot.f64 z (hypot.f64 y x))
(pow.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(hypot.f64 z (hypot.f64 y x))
(pow.f64 (sqrt.f64 (hypot.f64 z (hypot.f64 y x))) #s(literal 2 binary64))
(hypot.f64 z (hypot.f64 y x))
(sqrt.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))
(hypot.f64 z (hypot.f64 y x))
(log.f64 (exp.f64 (hypot.f64 z (hypot.f64 y x))))
(hypot.f64 z (hypot.f64 y x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 z (hypot.f64 y x)))))
(hypot.f64 z (hypot.f64 y x))
(cbrt.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 3 binary64)))
(hypot.f64 z (hypot.f64 y x))
(expm1.f64 (log1p.f64 (hypot.f64 z (hypot.f64 y x))))
(log1p.f64 (expm1.f64 (hypot.f64 z (hypot.f64 y x))))
(hypot.f64 z (hypot.f64 y x))
(exp.f64 (log.f64 (hypot.f64 z (hypot.f64 y x))))
(hypot.f64 z (hypot.f64 y x))
(exp.f64 (*.f64 (log.f64 (hypot.f64 z (hypot.f64 y x))) #s(literal 1 binary64)))
(hypot.f64 z (hypot.f64 y x))
(+.f64 #s(literal 0 binary64) (hypot.f64 y x))
(hypot.f64 y x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (hypot.f64 y x))) (cbrt.f64 (exp.f64 (hypot.f64 y x))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 y x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 y x)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 y x)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 y x)))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 y x))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (hypot.f64 y x)))
(*.f64 (hypot.f64 y x) #s(literal 1 binary64))
(hypot.f64 y x)
(*.f64 #s(literal 1 binary64) (hypot.f64 y x))
(hypot.f64 y x)
(*.f64 (cbrt.f64 (hypot.f64 y x)) (pow.f64 (cbrt.f64 (hypot.f64 y x)) #s(literal 2 binary64)))
(hypot.f64 y x)
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (hypot.f64 y x)))
(hypot.f64 y x)
(*.f64 (sqrt.f64 (hypot.f64 y x)) (sqrt.f64 (hypot.f64 y x)))
(hypot.f64 y x)
(pow.f64 (hypot.f64 y x) #s(literal 1 binary64))
(hypot.f64 y x)
(pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(hypot.f64 y x)
(pow.f64 (cbrt.f64 (hypot.f64 y x)) #s(literal 3 binary64))
(hypot.f64 y x)
(pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(hypot.f64 y x)
(pow.f64 (sqrt.f64 (hypot.f64 y x)) #s(literal 2 binary64))
(hypot.f64 y x)
(sqrt.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))
(hypot.f64 y x)
(log.f64 (exp.f64 (hypot.f64 y x)))
(hypot.f64 y x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 y x))))
(hypot.f64 y x)
(cbrt.f64 (pow.f64 (hypot.f64 y x) #s(literal 3 binary64)))
(hypot.f64 y x)
(expm1.f64 (log1p.f64 (hypot.f64 y x)))
(log1p.f64 (expm1.f64 (hypot.f64 y x)))
(hypot.f64 y x)
(exp.f64 (log.f64 (hypot.f64 y x)))
(hypot.f64 y x)
(exp.f64 (*.f64 (log.f64 (hypot.f64 y x)) #s(literal 1 binary64)))
(hypot.f64 y x)
(+.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 3 binary64)))
(sqrt.f64 #s(literal 3 binary64))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 #s(literal 3 binary64)))) (cbrt.f64 (exp.f64 (sqrt.f64 #s(literal 3 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 #s(literal 3 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 #s(literal 3 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 #s(literal 3 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 #s(literal 3 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 #s(literal 3 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1 binary64))
(sqrt.f64 #s(literal 3 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))
(sqrt.f64 #s(literal 3 binary64))
(*.f64 (cbrt.f64 (sqrt.f64 #s(literal 3 binary64))) (cbrt.f64 #s(literal 3 binary64)))
(*.f64 (cbrt.f64 #s(literal 3 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (cbrt.f64 #s(literal 3 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)))
(sqrt.f64 #s(literal 3 binary64))
(pow.f64 #s(literal 3 binary64) #s(literal 1/2 binary64))
(sqrt.f64 #s(literal 3 binary64))
(pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1 binary64))
(sqrt.f64 #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal 3 binary64))
(sqrt.f64 #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64))) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64))))
(cbrt.f64 (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64)))
(pow.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 #s(literal 3 binary64))
(log.f64 (exp.f64 (sqrt.f64 #s(literal 3 binary64))))
(sqrt.f64 #s(literal 3 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 #s(literal 3 binary64)))))
(sqrt.f64 #s(literal 3 binary64))
(cbrt.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64))))
(cbrt.f64 (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (sqrt.f64 #s(literal 3 binary64))))
(sqrt.f64 #s(literal 3 binary64))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 3 binary64))))
(sqrt.f64 #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 #s(literal 3 binary64)) #s(literal 1/2 binary64)))
(sqrt.f64 #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64)))
(sqrt.f64 #s(literal 3 binary64))

eval80.0ms (1.5%)

Compiler

Compiled 13657 to 2047 computations (85% saved)

prune89.0ms (1.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New5961597
Fresh000
Picked123
Done011
Total5974601
Accuracy
100.0%
Counts
601 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶97.8%
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
✓99.5%
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))
✓97.8%
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)
✓49.7%
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
Compiler

Compiled 40 to 30 computations (25% saved)

simplify6.0ms (0.1%)

Algorithm
1×egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 #s(literal 3 binary64))
✓cost-diff0
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0924
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
z
(sqrt.f64 #s(literal 3 binary64))
#s(literal 3 binary64)
Outputs
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
z
(sqrt.f64 #s(literal 3 binary64))
#s(literal 3 binary64)

localize17.0ms (0.3%)

Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(sqrt.f64 #s(literal 3 binary64))
✓accuracy99.4%
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
Results
11.0ms256×0valid
Compiler

Compiled 10 to 8 computations (20% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 3.0ms (61.8% of total)
ival-sqrt: 2.0ms (41.2% of total)
...in/eval/compile.rkt:76:19: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0%)

Counts
1 → 0
Calls
Call 1
Inputs
#<alt (/.f64 z (sqrt.f64 #s(literal 3 binary64)))>
Outputs
Calls

3 calls:

TimeVariablePointExpression
1.0ms
z
@inf
(/ z (sqrt 3))
1.0ms
z
@0
(/ z (sqrt 3))
0.0ms
z
@-inf
(/ z (sqrt 3))

rewrite67.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
339×log1p-expm1-u
339×expm1-log1p-u
323×add-exp-log
317×add-log-exp
317×add-cube-cbrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0914
17314
294214
Stop Event
1×node limit
Counts
1 → 72
Calls
Call 1
Inputs
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) #s(literal 1 binary64))
(*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) (cbrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/3 binary64))))
(*.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/3 binary64))) (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) (sqrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))))
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)) z)
(*.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/4 binary64)) (/.f64 z (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/4 binary64)) (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) z) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 3/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) (/.f64 z (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)) z) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 z) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) (/.f64 (cbrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (/.f64 (sqrt.f64 z) (cbrt.f64 #s(literal 3 binary64))) (/.f64 (sqrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/3 binary64)) z) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/3 binary64)))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))))
(*.f64 (pow.f64 (pow.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z) #s(literal 2 binary64))) #s(literal -1 binary64)) (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 z) #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) (cbrt.f64 z)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 z)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)) z) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))) #s(literal -1 binary64)) (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 #s(literal 3 binary64)) (sqrt.f64 z)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)) (sqrt.f64 z)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) z) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) (cbrt.f64 z)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) (sqrt.f64 z)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) (sqrt.f64 z)) #s(literal -1 binary64)))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/3 binary64)) z)) (cbrt.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/3 binary64))))) (cbrt.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 5/2 binary64))) (pow.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 3/2 binary64))) (pow.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) #s(literal 4 binary64))) (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(*.f64 (sqrt.f64 (*.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) z)) (pow.f64 #s(literal 3 binary64) #s(literal -1/4 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) #s(literal 5 binary64))) (pow.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1/6 binary64)))
(pow.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/3 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z) #s(literal -1 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(pow.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))) (sqrt.f64 (log.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))))
(neg.f64 (/.f64 z (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
(neg.f64 (/.f64 (neg.f64 z) (sqrt.f64 #s(literal 3 binary64))))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(log.f64 (exp.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(exp.f64 (log.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z)) #s(literal -1 binary64)))

simplify106.0ms (2%)

Algorithm
1×egg-herbie
Rules
891×fma-define
384×associate-*r*
339×distribute-lft-neg-out
331×associate-*l*
317×associate-/r*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02142318
13761945
29011901
331941807
477711807
Stop Event
1×node limit
Counts
72 → 106
Calls
Call 1
Inputs
(+.f64 #s(literal 0 binary64) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) #s(literal 1 binary64))
(*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) (cbrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/3 binary64))))
(*.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/3 binary64))) (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) (sqrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))))
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)) z)
(*.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/4 binary64)) (/.f64 z (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/4 binary64)) (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) z) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 3/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) (/.f64 z (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)) z) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 z) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) (/.f64 (cbrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (/.f64 (sqrt.f64 z) (cbrt.f64 #s(literal 3 binary64))) (/.f64 (sqrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/3 binary64)) z) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/3 binary64)))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))))
(*.f64 (pow.f64 (pow.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z) #s(literal 2 binary64))) #s(literal -1 binary64)) (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 z) #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) (cbrt.f64 z)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 z)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)) z) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))) #s(literal -1 binary64)) (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 #s(literal 3 binary64)) (sqrt.f64 z)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)) (sqrt.f64 z)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) z) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) (cbrt.f64 z)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) (sqrt.f64 z)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) (sqrt.f64 z)) #s(literal -1 binary64)))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/3 binary64)) z)) (cbrt.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/3 binary64))))) (cbrt.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 5/2 binary64))) (pow.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 3/2 binary64))) (pow.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) #s(literal 4 binary64))) (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(*.f64 (sqrt.f64 (*.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) z)) (pow.f64 #s(literal 3 binary64) #s(literal -1/4 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) #s(literal 5 binary64))) (pow.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1/6 binary64)))
(pow.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/3 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z) #s(literal -1 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(pow.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))) (sqrt.f64 (log.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))))
(neg.f64 (/.f64 z (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
(neg.f64 (/.f64 (neg.f64 z) (sqrt.f64 #s(literal 3 binary64))))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(log.f64 (exp.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(exp.f64 (log.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z)) #s(literal -1 binary64)))
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (sqrt.f64 #s(literal 1/3 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (sqrt.f64 #s(literal 1/3 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (sqrt.f64 #s(literal 1/3 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) #s(literal 1 binary64))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1 binary64))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) (log.f64 (E.f64)))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) (cbrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/3 binary64))))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) (fabs.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/3 binary64))) (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) (sqrt.f64 #s(literal 3 binary64))))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))))
(*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) (sqrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) (sqrt.f64 #s(literal 3 binary64))))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))))
(*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))))
(*.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)))))
(*.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 z (*.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))))))
(*.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))))))
(*.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 z (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))))))
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) (sqrt.f64 #s(literal 3 binary64))))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(*.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)) z)
(*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))
(*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/4 binary64)) (/.f64 z (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))))
(/.f64 (*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/4 binary64)) (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) z) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/4 binary64)) (/.f64 z (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))))
(/.f64 (*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 3/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) (/.f64 z (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))))
(/.f64 (/.f64 z (cbrt.f64 #s(literal 3 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))
(/.f64 z (*.f64 (cbrt.f64 #s(literal 3 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)) z) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) (/.f64 z (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))))
(/.f64 (/.f64 z (cbrt.f64 #s(literal 3 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))
(/.f64 z (*.f64 (cbrt.f64 #s(literal 3 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 z) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) (sqrt.f64 #s(literal 3 binary64))))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) (/.f64 (cbrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))))
(/.f64 (/.f64 z (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)))
(pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) (sqrt.f64 z)) #s(literal -2 binary64))
(/.f64 z (pow.f64 #s(literal 3 binary64) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) (sqrt.f64 #s(literal 3 binary64))))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(*.f64 (/.f64 (sqrt.f64 z) (cbrt.f64 #s(literal 3 binary64))) (/.f64 (sqrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) (/.f64 z (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))))
(/.f64 (/.f64 z (cbrt.f64 #s(literal 3 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))
(/.f64 z (*.f64 (cbrt.f64 #s(literal 3 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/3 binary64)) z) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))))
(*.f64 (cbrt.f64 (*.f64 z (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 3 binary64)))) (cbrt.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/3 binary64)))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64))))))) (cbrt.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64))))))) (cbrt.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) #s(literal 8 binary64))) (cbrt.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))))
(*.f64 (pow.f64 (pow.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 5/2 binary64))) (pow.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z) #s(literal 2 binary64))) #s(literal -1 binary64)) (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(*.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z) #s(literal 2 binary64)))))
(/.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z) #s(literal 2 binary64))))
(/.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) (cbrt.f64 (/.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 z) #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) (cbrt.f64 z)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 3 binary64)) (cbrt.f64 z))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))) (cbrt.f64 z)))
(/.f64 (/.f64 (cbrt.f64 z) (sqrt.f64 #s(literal 3 binary64))) (pow.f64 (cbrt.f64 z) #s(literal -2 binary64)))
(*.f64 (pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 z)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 z))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 z)))
(/.f64 (/.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 3 binary64))) (pow.f64 z #s(literal -1/2 binary64)))
(/.f64 (sqrt.f64 z) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)) z) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) (/.f64 z (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))))
(/.f64 (/.f64 z (cbrt.f64 #s(literal 3 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))
(/.f64 z (*.f64 (cbrt.f64 #s(literal 3 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))) #s(literal -1 binary64)) (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(*.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z) #s(literal 2 binary64)))))
(/.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z) #s(literal 2 binary64))))
(/.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) (cbrt.f64 (/.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 #s(literal 3 binary64)) (sqrt.f64 z)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)) (sqrt.f64 z)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) (/.f64 z (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))))
(/.f64 (/.f64 z (cbrt.f64 #s(literal 3 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))
(/.f64 z (*.f64 (cbrt.f64 #s(literal 3 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) z) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) (/.f64 (cbrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))))
(/.f64 (/.f64 z (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)))
(pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) (sqrt.f64 z)) #s(literal -2 binary64))
(/.f64 z (pow.f64 #s(literal 3 binary64) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) (cbrt.f64 z)) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) (/.f64 (cbrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))))
(/.f64 (/.f64 z (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)))
(pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) (sqrt.f64 z)) #s(literal -2 binary64))
(/.f64 z (pow.f64 #s(literal 3 binary64) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) (sqrt.f64 z)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) (sqrt.f64 z)) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) (/.f64 (cbrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))))
(/.f64 (/.f64 z (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)))
(pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) (sqrt.f64 z)) #s(literal -2 binary64))
(/.f64 z (pow.f64 #s(literal 3 binary64) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/3 binary64)) z)) (cbrt.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))))
(*.f64 (cbrt.f64 (*.f64 z (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 3 binary64)))) (cbrt.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/3 binary64))))) (cbrt.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64))))))) (cbrt.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64))))))) (cbrt.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) #s(literal 8 binary64))) (cbrt.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 5/2 binary64))) (pow.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 3/2 binary64))) (pow.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 3/2 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) #s(literal 4 binary64))) (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(*.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) (fabs.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 (*.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) z)) (pow.f64 #s(literal 3 binary64) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/4 binary64)) (sqrt.f64 (*.f64 z (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))))
(*.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) #s(literal 5 binary64))) (pow.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1/6 binary64)) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) #s(literal 5 binary64))))
(pow.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1 binary64))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(pow.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) #s(literal 3 binary64))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/3 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64))))
(fabs.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(pow.f64 (pow.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(pow.f64 (sqrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) #s(literal 2 binary64))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z) #s(literal -1 binary64))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) (sqrt.f64 #s(literal 3 binary64))))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(pow.f64 (E.f64) (log.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(pow.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) (sqrt.f64 #s(literal 3 binary64))))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))) (sqrt.f64 (log.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))))
(neg.f64 (/.f64 z (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) (sqrt.f64 #s(literal 3 binary64))))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(neg.f64 (/.f64 (neg.f64 z) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) (sqrt.f64 #s(literal 3 binary64))))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64))))
(fabs.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(log.f64 (exp.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 3 binary64)))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(log1p.f64 (expm1.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(exp.f64 (log.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))) #s(literal 3 binary64)))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))) #s(literal 2 binary64)))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) (sqrt.f64 #s(literal 3 binary64))))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))

eval16.0ms (0.3%)

Compiler

Compiled 1345 to 361 computations (73.2% saved)

prune21.0ms (0.4%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1301131
Fresh000
Picked011
Done033
Total1305135
Accuracy
100.0%
Counts
135 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓97.8%
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
✓99.5%
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))
✓97.8%
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)
▶97.0%
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
✓49.7%
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
Compiler

Compiled 51 to 40 computations (21.6% saved)

simplify16.0ms (0.3%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(neg.f64 (sqrt.f64 #s(literal 3 binary64)))
✓cost-diff0
(neg.f64 z)
✓cost-diff64
(/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
✓cost-diff256
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
Rules
36×fma-define
14×times-frac
14×fmm-def
12×div-sub
11×neg-sub0
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01371
13061
26553
316953
424253
529953
630653
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
(neg.f64 z)
z
(/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
#s(literal 1 binary64)
(neg.f64 (sqrt.f64 #s(literal 3 binary64)))
(sqrt.f64 #s(literal 3 binary64))
#s(literal 3 binary64)
Outputs
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
(/.f64 (neg.f64 z) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(neg.f64 z)
z
(/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 3 binary64)))
#s(literal 1 binary64)
(neg.f64 (sqrt.f64 #s(literal 3 binary64)))
(sqrt.f64 #s(literal 3 binary64))
#s(literal 3 binary64)

localize28.0ms (0.5%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(neg.f64 (sqrt.f64 #s(literal 3 binary64)))
✓accuracy100.0%
(neg.f64 z)
✓accuracy99.5%
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
✓accuracy98.4%
(/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
Results
17.0ms256×0valid
Compiler

Compiled 25 to 12 computations (52% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 2.0ms (23.8% of total)
ival-mult: 2.0ms (23.8% of total)
ival-sqrt: 2.0ms (23.8% of total)
ival-neg: 2.0ms (23.8% of total)
...in/eval/compile.rkt:76:19: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series1.0ms (0%)

Counts
4 → 24
Calls
Call 1
Inputs
#<alt (*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))>
#<alt (neg.f64 z)>
#<alt (neg.f64 (sqrt.f64 #s(literal 3 binary64)))>
Outputs
#<alt (/.f64 z (sqrt.f64 #s(literal 3 binary64)))>
#<alt (/.f64 z (sqrt.f64 #s(literal 3 binary64)))>
#<alt (/.f64 z (sqrt.f64 #s(literal 3 binary64)))>
#<alt (/.f64 z (sqrt.f64 #s(literal 3 binary64)))>
#<alt (/.f64 z (sqrt.f64 #s(literal 3 binary64)))>
#<alt (/.f64 z (sqrt.f64 #s(literal 3 binary64)))>
#<alt (/.f64 z (sqrt.f64 #s(literal 3 binary64)))>
#<alt (/.f64 z (sqrt.f64 #s(literal 3 binary64)))>
#<alt (/.f64 z (sqrt.f64 #s(literal 3 binary64)))>
#<alt (/.f64 z (sqrt.f64 #s(literal 3 binary64)))>
#<alt (/.f64 z (sqrt.f64 #s(literal 3 binary64)))>
#<alt (/.f64 z (sqrt.f64 #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
Calls

6 calls:

TimeVariablePointExpression
0.0ms
z
@inf
(neg z)
0.0ms
z
@0
(* (neg z) (/ 1 (neg (sqrt 3))))
0.0ms
z
@inf
(* (neg z) (/ 1 (neg (sqrt 3))))
0.0ms
z
@-inf
(* (neg z) (/ 1 (neg (sqrt 3))))
0.0ms
z
@0
(neg z)

rewrite38.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
60×add-cube-cbrt
59×add-exp-log
59×add-log-exp
59×log1p-expm1-u
59×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01354
114754
2195754
Stop Event
1×unsound
Counts
4 → 120
Calls
Call 1
Inputs
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(neg.f64 z)
(neg.f64 (sqrt.f64 #s(literal 3 binary64)))
Outputs
(-.f64 #s(literal 0 binary64) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 3 binary64))) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 3 binary64)) z))
(/.f64 (/.f64 z (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)))
(/.f64 (/.f64 z #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (/.f64 z #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (/.f64 z (cbrt.f64 #s(literal 3 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 3 binary64))))
(pow.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) #s(literal 2 binary64))
(neg.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(log.f64 (pow.f64 (exp.f64 z) (sqrt.f64 #s(literal 1/3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1/3 binary64))))
(cbrt.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1/3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(exp.f64 (log.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/3 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 #s(literal 1/3 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/3 binary64))) (cbrt.f64 #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 (pow.f64 (cbrt.f64 #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1/3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 2 binary64))
(neg.f64 (sqrt.f64 #s(literal 1/3 binary64)))
(sqrt.f64 #s(literal 1/3 binary64))
(log.f64 (exp.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 #s(literal 1/3 binary64)))))
(cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1/3 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(log1p.f64 (expm1.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) z)
(-.f64 #s(literal 0 binary64) z)
(-.f64 (exp.f64 (log1p.f64 z)) #s(literal 1 binary64))
(*.f64 z #s(literal 1 binary64))
(*.f64 z #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 z)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 z) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) #s(literal 1 binary64)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) z))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 2 binary64))) z)
(pow.f64 z #s(literal 1 binary64))
(pow.f64 (cbrt.f64 z) #s(literal 3 binary64))
(pow.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 z) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 z #s(literal 2 binary64)))
(log.f64 (exp.f64 z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)))
(cbrt.f64 (pow.f64 z #s(literal 3 binary64)))
z
(expm1.f64 (log1p.f64 z))
(log1p.f64 (expm1.f64 z))
(exp.f64 (log.f64 z))
(exp.f64 (*.f64 (log.f64 z) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 3 binary64)))
(-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 3 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 #s(literal 3 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))
(*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 #s(literal 3 binary64))) (cbrt.f64 #s(literal 3 binary64)))
(*.f64 (cbrt.f64 #s(literal 3 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (cbrt.f64 #s(literal 3 binary64)) (neg.f64 (cbrt.f64 (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 (cbrt.f64 #s(literal 3 binary64)) (/.f64 (cbrt.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) (neg.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (cbrt.f64 #s(literal 3 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (neg.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)))
(*.f64 (*.f64 #s(literal -1 binary64) (cbrt.f64 #s(literal 3 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/3 binary64)))
(/.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1 binary64))
(/.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))) (+.f64 #s(literal 0 binary64) (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 3 binary64))))))
(/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 3 binary64)))
(pow.f64 #s(literal 3 binary64) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64))) #s(literal 1/3 binary64))
(sqrt.f64 #s(literal 3 binary64))
(log.f64 (exp.f64 (sqrt.f64 #s(literal 3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 #s(literal 3 binary64)))))
(cbrt.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (sqrt.f64 #s(literal 3 binary64))))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 3 binary64))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 3 binary64)) #s(literal 1/2 binary64)))

simplify123.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
832×fmm-def
442×associate-/l*
306×fma-define
297×distribute-rgt-neg-in
279×associate-/r*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02201651
13761625
212551481
343831367
474151367
Stop Event
1×node limit
Counts
144 → 136
Calls
Call 1
Inputs
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(-.f64 #s(literal 0 binary64) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 3 binary64))) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 3 binary64)) z))
(/.f64 (/.f64 z (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)))
(/.f64 (/.f64 z #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (/.f64 z #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (/.f64 z (cbrt.f64 #s(literal 3 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 3 binary64))))
(pow.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) #s(literal 2 binary64))
(neg.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(log.f64 (pow.f64 (exp.f64 z) (sqrt.f64 #s(literal 1/3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1/3 binary64))))
(cbrt.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1/3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(exp.f64 (log.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/3 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 #s(literal 1/3 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/3 binary64))) (cbrt.f64 #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 (pow.f64 (cbrt.f64 #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1/3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 2 binary64))
(neg.f64 (sqrt.f64 #s(literal 1/3 binary64)))
(sqrt.f64 #s(literal 1/3 binary64))
(log.f64 (exp.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 #s(literal 1/3 binary64)))))
(cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1/3 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(log1p.f64 (expm1.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) z)
(-.f64 #s(literal 0 binary64) z)
(-.f64 (exp.f64 (log1p.f64 z)) #s(literal 1 binary64))
(*.f64 z #s(literal 1 binary64))
(*.f64 z #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 z)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 z) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) #s(literal 1 binary64)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) z))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 2 binary64))) z)
(pow.f64 z #s(literal 1 binary64))
(pow.f64 (cbrt.f64 z) #s(literal 3 binary64))
(pow.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 z) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 z #s(literal 2 binary64)))
(log.f64 (exp.f64 z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)))
(cbrt.f64 (pow.f64 z #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 z))
(log1p.f64 (expm1.f64 z))
(exp.f64 (log.f64 z))
(exp.f64 (*.f64 (log.f64 z) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 3 binary64)))
(-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 3 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 #s(literal 3 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))
(*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 #s(literal 3 binary64))) (cbrt.f64 #s(literal 3 binary64)))
(*.f64 (cbrt.f64 #s(literal 3 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (cbrt.f64 #s(literal 3 binary64)) (neg.f64 (cbrt.f64 (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 (cbrt.f64 #s(literal 3 binary64)) (/.f64 (cbrt.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) (neg.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (cbrt.f64 #s(literal 3 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (neg.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)))
(*.f64 (*.f64 #s(literal -1 binary64) (cbrt.f64 #s(literal 3 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/3 binary64)))
(/.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1 binary64))
(/.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))) (+.f64 #s(literal 0 binary64) (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 3 binary64))))))
(/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 3 binary64)))
(pow.f64 #s(literal 3 binary64) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64))) #s(literal 1/3 binary64))
(sqrt.f64 #s(literal 3 binary64))
(log.f64 (exp.f64 (sqrt.f64 #s(literal 3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 #s(literal 3 binary64)))))
(cbrt.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (sqrt.f64 #s(literal 3 binary64))))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 3 binary64))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 3 binary64)) #s(literal 1/2 binary64)))
Outputs
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(-.f64 #s(literal 0 binary64) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 z (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 3 binary64))) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 z (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 3 binary64)) z))
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eval17.0ms (0.3%)

Compiler

Compiled 1265 to 379 computations (70% saved)

prune24.0ms (0.5%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New1351136
Fresh000
Picked011
Done044
Total1356141
Accuracy
100.0%
Counts
141 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓97.8%
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
97.7%
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 3 binary64)) z))
✓99.5%
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))
✓97.8%
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)
✓97.0%
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
✓49.7%
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
Compiler

Compiled 125 to 80 computations (36% saved)

regimes33.0ms (0.6%)

Counts
8 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 3 binary64)) z))
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))
(/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))
(sqrt.f64 (*.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 1/3 binary64)))
Outputs
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))
Calls

10 calls:

5.0ms
(+.f64 (*.f64 x x) (*.f64 y y))
5.0ms
z
3.0ms
x
3.0ms
y
3.0ms
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
Results
AccuracySegmentsBranch
99.5%1x
99.5%1y
99.5%1z
99.5%1(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
99.5%1(/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))
99.5%1(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
99.5%1(+.f64 (*.f64 x x) (*.f64 y y))
99.5%1(*.f64 x x)
99.5%1(*.f64 y y)
99.5%1(*.f64 z z)
Compiler

Compiled 87 to 56 computations (35.6% saved)

regimes26.0ms (0.5%)

Accuracy

Total -31.7b remaining (-2257.6%)

Threshold costs -31.7b (-2257.6%)

Counts
5 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 3 binary64)) z))
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
Outputs
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)
Calls

10 calls:

5.0ms
y
4.0ms
(*.f64 x x)
2.0ms
z
2.0ms
(/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))
2.0ms
x
Results
AccuracySegmentsBranch
97.8%1x
97.8%1y
97.8%1z
97.8%1(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
97.8%1(/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))
97.8%1(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
97.8%1(+.f64 (*.f64 x x) (*.f64 y y))
97.8%1(*.f64 x x)
97.8%1(*.f64 y y)
97.8%1(*.f64 z z)
Compiler

Compiled 87 to 56 computations (35.6% saved)

simplify2.0ms (0%)

Algorithm
1×egg-herbie
Rules
2×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01337
11537
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)
Outputs
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)

soundness519.0ms (9.9%)

Rules
969×times-frac
696×fmm-def
464×associate-*r*
399×associate-*l*
285×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
068227387
1161724472
2545524472
050617
192573
2184573
3414573
4788573
51226573
61834573
72225573
Stop Event
1×fuel
1×saturated
1×node limit
Compiler

Compiled 170 to 67 computations (60.6% saved)

preprocess57.0ms (1.1%)

Compiler

Compiled 202 to 140 computations (30.7% saved)

end0.0ms (0%)

Profiling

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