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

Time bar (total: 7.3s)

analyze2.0ms (0%)

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
100%99.9%0%0.1%0%0%0%4
Compiler

Compiled 18 to 12 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-div: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
const: 0.0ms (0% of total)
ival-sqrt: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample1.5s (20.6%)

Results
1.1s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 661.0ms
ival-add: 217.0ms (32.8% of total)
ival-mult: 213.0ms (32.2% of total)
ival-div: 112.0ms (16.9% of total)
ival-sqrt: 107.0ms (16.2% of total)
const: 11.0ms (1.7% of total)
backward-pass: 2.0ms (0.3% of total)
Bogosity

preprocess99.0ms (1.4%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
050617
192573
2184573
3406573
4780573
51218573
61826573
72217573
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)

explain258.0ms (3.5%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1640-1(1.8932256728751642e-286 1.5507295613084335e-281 6.369590090768773e-158)(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
00-0-x
00-0-(*.f64 y y)
00-0-(*.f64 z z)
00-0-y
00-0-(+.f64 (*.f64 x x) (*.f64 y y))
00-0-(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
00-0-(*.f64 x x)
00-0-z
00-0-#s(literal 3 binary64)
00-0-(/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))
Results
214.0ms512×0valid
Compiler

Compiled 141 to 35 computations (75.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-mult: 12.0ms (46.4% of total)
ival-add: 5.0ms (19.3% of total)
ival-div: 4.0ms (15.5% of total)
ival-sqrt: 4.0ms (15.5% of total)
const: 1.0ms (3.9% of total)
backward-pass: 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
▶40.7%
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
▶40.7%
(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)

simplify21.0ms (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)

localize83.0ms (1.1%)

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))
✓accuracy40.8%
(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))
✓accuracy40.8%
(sqrt.f64 (*.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 1/3 binary64)))
Results
50.0ms256×0valid
Compiler

Compiled 107 to 17 computations (84.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-mult: 9.0ms (32.8% of total)
ival-fma: 6.0ms (21.9% of total)
...c/correct-round.rkt:121:19: 4.0ms (14.6% of total)
ival-sqrt: 4.0ms (14.6% of total)
ival-div: 2.0ms (7.3% of total)
ival-add: 2.0ms (7.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series37.0ms (0.5%)

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)))>
#<alt (*.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))))))>
#<alt (*.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)))))))>
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#<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
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
z
@inf
(sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3))
1.0ms
x
@0
(sqrt (* (+ (* y y) (+ (* x x) (* z z))) 1/3))
1.0ms
x
@inf
(sqrt (* (+ (* y y) (+ (* x x) (* z z))) 1/3))

rewrite431.0ms (5.9%)

Algorithm
1×batch-egg-rewrite
Rules
813×log1p-expm1-u
813×expm1-log1p-u
545×fma-define
277×fma-neg
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))))
(/.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 (pow.f64 z #s(literal 4 binary64)) (-.f64 (pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 y x) #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 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (neg.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)))) (neg.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)))))
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(+.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)))

simplify348.0ms (4.8%)

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))))
(*.f64 #s(literal -1 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 #s(literal -1 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 #s(literal -1 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)))))))))
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(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) y) (pow.f64 x #s(literal 2 binary64)))
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(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)))
(+.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)))))))))))
(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 1/2 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)) (fma.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 (*.f64 #s(literal 1/16 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 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #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)) (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)) (pow.f64 y #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 5 binary64)))) #s(literal 1/16 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x z) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 x z)))
(*.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 (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))))))
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(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)))

eval317.0ms (4.4%)

Compiler

Compiled 9145 to 1729 computations (81.1% saved)

prune77.0ms (1.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New4275432
Fresh000
Picked112
Done000
Total4286434
Accuracy
100.0%
Counts
434 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.1%
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))) #s(literal 3 binary64))
▶99.4%
(/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))
▶99.4%
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 3 binary64)) (hypot.f64 z (hypot.f64 y x))))
▶99.5%
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))
▶98.0%
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)
✓40.7%
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
Compiler

Compiled 125 to 95 computations (24% saved)

simplify22.0ms (0.3%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sqrt.f64 #s(literal 1/3 binary64))
✓cost-diff0
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))
✓cost-diff0
(cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))))
✓cost-diff12864
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))) #s(literal 3 binary64))
✓cost-diff0
(hypot.f64 z (hypot.f64 y x))
✓cost-diff0
(sqrt.f64 #s(literal 3 binary64))
✓cost-diff0
(/.f64 (sqrt.f64 #s(literal 3 binary64)) (hypot.f64 z (hypot.f64 y x)))
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 3 binary64)) (hypot.f64 z (hypot.f64 y x))))
✓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
(sqrt.f64 #s(literal 1/3 binary64))
✓cost-diff0
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)
✓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))
Rules
16×fma-define
11×associate-*r*
9×associate-*l*
7×*-lft-identity
6×*-rgt-identity
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026431
149431
260431
376431
498431
5106431
6118431
7119431
8121431
9127431
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.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 (sqrt.f64 #s(literal 1/3 binary64)) z)
(sqrt.f64 #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
z
(/.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)
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 3 binary64)) (hypot.f64 z (hypot.f64 y x))))
#s(literal 1 binary64)
(/.f64 (sqrt.f64 #s(literal 3 binary64)) (hypot.f64 z (hypot.f64 y x)))
(sqrt.f64 #s(literal 3 binary64))
#s(literal 3 binary64)
(hypot.f64 z (hypot.f64 y x))
z
(hypot.f64 y x)
y
x
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))) #s(literal 3 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)))
(sqrt.f64 #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
(hypot.f64 z (hypot.f64 y x))
z
(hypot.f64 y x)
y
x
#s(literal 3 binary64)
Outputs
(*.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 (sqrt.f64 #s(literal 1/3 binary64)) z)
(sqrt.f64 #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
z
(/.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)
(/.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)))
#s(literal 1 binary64)
(/.f64 (sqrt.f64 #s(literal 3 binary64)) (hypot.f64 z (hypot.f64 y x)))
(sqrt.f64 #s(literal 3 binary64))
#s(literal 3 binary64)
(hypot.f64 z (hypot.f64 y x))
z
(hypot.f64 y x)
y
x
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))) #s(literal 3 binary64))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))
(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)))
(sqrt.f64 #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
(hypot.f64 z (hypot.f64 y x))
z
(hypot.f64 y x)
y
x
#s(literal 3 binary64)

localize248.0ms (3.4%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sqrt.f64 #s(literal 1/3 binary64))
✓accuracy99.5%
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))
✓accuracy99.2%
(cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))))
✓accuracy98.8%
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))) #s(literal 3 binary64))
✓accuracy100.0%
(hypot.f64 y x)
✓accuracy100.0%
(sqrt.f64 #s(literal 3 binary64))
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 3 binary64)) (hypot.f64 z (hypot.f64 y x))))
✓accuracy99.5%
(/.f64 (sqrt.f64 #s(literal 3 binary64)) (hypot.f64 z (hypot.f64 y x)))
✓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%
(sqrt.f64 #s(literal 1/3 binary64))
✓accuracy99.4%
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)
✓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))
Results
175.0ms256×0valid
Compiler

Compiled 124 to 20 computations (83.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-hypot: 13.0ms (33.1% of total)
ival-div: 5.0ms (12.7% of total)
ival-mult: 5.0ms (12.7% of total)
ival-sqrt: 4.0ms (10.2% of total)
...c/correct-round.rkt:121:19: 4.0ms (10.2% of total)
ival-pow: 4.0ms (10.2% of total)
ival-cbrt: 3.0ms (7.6% of total)
const: 1.0ms (2.5% of total)
backward-pass: 0.0ms (0% of total)

series105.0ms (1.4%)

Counts
13 → 336
Calls
Call 1
Inputs
#<alt (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))>
#<alt (sqrt.f64 #s(literal 1/3 binary64))>
#<alt (hypot.f64 z y)>
#<alt (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)>
#<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))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 3 binary64)) (hypot.f64 z (hypot.f64 y x))))>
#<alt (/.f64 (sqrt.f64 #s(literal 3 binary64)) (hypot.f64 z (hypot.f64 y x)))>
#<alt (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))) #s(literal 3 binary64))>
#<alt (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))))>
#<alt (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))>
Outputs
#<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))))>
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#<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))))))>
#<alt (*.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)))))))>
#<alt (*.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))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 #s(literal 1/3 binary64))))>
#<alt (*.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)))))))>
#<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>
#<alt (*.f64 z (+.f64 #s(literal 1 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 #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)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 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 #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>
#<alt (+.f64 z (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z)))>
#<alt (+.f64 z (*.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 z #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) 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 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 (/.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))))>
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#<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 z>
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#<alt (*.f64 #s(literal -1 binary64) z)>
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#<alt (*.f64 #s(literal -1 binary64) y)>
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#<alt x>
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#<alt x>
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#<alt y>
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#<alt (*.f64 #s(literal -1 binary64) y)>
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#<alt x>
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#<alt (*.f64 #s(literal -1 binary64) x)>
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#<alt (+.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (*.f64 (pow.f64 z #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 y #s(literal 2 binary64))))))) (*.f64 (pow.f64 z #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 y #s(literal 2 binary64))) #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))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #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 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 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 (sqrt.f64 #s(literal 1/3 binary64)) (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 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 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 (sqrt.f64 #s(literal 1/3 binary64)) (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 (*.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 y #s(literal 2 binary64))) #s(literal 3 binary64))) (pow.f64 z #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 y #s(literal 2 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 (sqrt.f64 #s(literal 1/3 binary64)) (+.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 binary64) (*.f64 z (+.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 y #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 z #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 y #s(literal 2 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 (sqrt.f64 #s(literal 1/3 binary64)) (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 (*.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 y #s(literal 2 binary64))) #s(literal 3 binary64))) (pow.f64 z #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 y #s(literal 2 binary64)))) (pow.f64 z #s(literal 2 binary64)))))))))>
#<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)))>
#<alt (*.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))))))>
#<alt (*.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)))))))>
#<alt (*.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))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 #s(literal 1/3 binary64))))>
#<alt (*.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)))))))>
#<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 (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))))))))>
#<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 (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)))))))))>
#<alt (*.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)))))>
#<alt (+.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))))))>
#<alt (+.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))))))))))>
#<alt (+.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)))))))))))>
#<alt (*.f64 x (sqrt.f64 #s(literal 1/3 binary64)))>
#<alt (*.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))))))>
#<alt (*.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)))))))>
#<alt (*.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))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 1/3 binary64))))>
#<alt (*.f64 #s(literal -1 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)))))))>
#<alt (*.f64 #s(literal -1 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))))))))>
#<alt (*.f64 #s(literal -1 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)))))))))>
Calls

84 calls:

TimeVariablePointExpression
6.0ms
x
@inf
(cbrt (* (sqrt 1/3) (sqrt (+ (* z z) (* (sqrt (+ (* y y) (* x x))) (sqrt (+ (* y y) (* x x))))))))
5.0ms
x
@0
(/ (sqrt (+ (* z z) (* (sqrt (+ (* y y) (* x x))) (sqrt (+ (* y y) (* x x)))))) (sqrt 3))
4.0ms
y
@0
(cbrt (* (sqrt 1/3) (sqrt (+ (* z z) (* (sqrt (+ (* y y) (* x x))) (sqrt (+ (* y y) (* x x))))))))
4.0ms
x
@0
(cbrt (* (sqrt 1/3) (sqrt (+ (* z z) (* (sqrt (+ (* y y) (* x x))) (sqrt (+ (* y y) (* x x))))))))
3.0ms
x
@0
(/ 1 (/ (sqrt 3) (sqrt (+ (* z z) (* (sqrt (+ (* y y) (* x x))) (sqrt (+ (* y y) (* x x))))))))

rewrite425.0ms (5.8%)

Algorithm
1×batch-egg-rewrite
Rules
836×log1p-expm1-u
836×expm1-log1p-u
254×expm1-undefine
254×log1p-undefine
177×prod-diff
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026291
1351291
23873291
Stop Event
1×node limit
Counts
13 → 332
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))
(sqrt.f64 #s(literal 1/3 binary64))
(hypot.f64 z y)
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)
(/.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))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 3 binary64)) (hypot.f64 z (hypot.f64 y x))))
(/.f64 (sqrt.f64 #s(literal 3 binary64)) (hypot.f64 z (hypot.f64 y x)))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))) #s(literal 3 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)))
Outputs
(-.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)))
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(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 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.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) (cbrt.f64 (*.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)))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/3 binary64))) (cbrt.f64 (hypot.f64 z (hypot.f64 y x))))
(*.f64 (cbrt.f64 (hypot.f64 z (hypot.f64 y x))) (cbrt.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))))) (cbrt.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 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))))) (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 1/3 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))))) (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))))))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))) #s(literal 1/6 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 (*.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 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))))))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))) #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 1/3 binary64)))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))) #s(literal 1 binary64))
(pow.f64 (cbrt.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 1/6 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)))))
(log.f64 (exp.f64 (cbrt.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 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))))))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))))) #s(literal 1 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))
(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 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))) #s(literal 3/2 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))
(sqrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.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)))
(cbrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #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 (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 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))) #s(literal 1 binary64)))

simplify629.0ms (8.6%)

Algorithm
1×egg-herbie
Rules
795×distribute-lft-in
789×distribute-rgt-in
608×*-commutative
461×times-frac
289×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0154046426
1436744161
Stop Event
1×node limit
Counts
668 → 925
Calls
Call 1
Inputs
(*.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
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 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)))))))
(*.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))))))))
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))
(*.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))))))))
(*.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)))))))))
z
(+.f64 z (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z)))
(+.f64 z (*.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 z #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z)))))
(+.f64 z (*.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 z #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z)))))
y
(*.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))))))
(*.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)))))))
(*.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))))))))
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
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(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)))
(cbrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #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 (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 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.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) (cbrt.f64 (*.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)))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/3 binary64))) (cbrt.f64 (hypot.f64 z (hypot.f64 y x))))
(*.f64 (cbrt.f64 (hypot.f64 z (hypot.f64 y x))) (cbrt.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))))) (cbrt.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 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))))) (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 1/3 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))))) (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))))))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))) #s(literal 1/6 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 (*.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 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))))))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))) #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 1/3 binary64)))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))) #s(literal 1 binary64))
(pow.f64 (cbrt.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 1/6 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)))))
(log.f64 (exp.f64 (cbrt.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 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))))))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))))) #s(literal 1 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))
(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 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))) #s(literal 3/2 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))
(sqrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.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)))
(cbrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #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 (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 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))) #s(literal 1 binary64)))
Outputs
(*.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))))
(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 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)))))
(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 (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 (*.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 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 z #s(literal 2 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))))))))))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)
(*.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 (pow.f64 y #s(literal 2 binary64)) (/.f64 (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)) (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 (pow.f64 y #s(literal 2 binary64)) (/.f64 (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 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 (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 binary64) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 (neg.f64 z) (sqrt.f64 #s(literal 1/3 binary64)))
(neg.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))
(*.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 (pow.f64 y #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 z (neg.f64 (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (*.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 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 (pow.f64 y #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 z #s(literal 2 binary64))))))))
(*.f64 z (neg.f64 (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (fma.f64 #s(literal -1/8 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 (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 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 (pow.f64 y #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))
(*.f64 z (neg.f64 (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (fma.f64 #s(literal -1/8 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 (pow.f64 y #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 z #s(literal 2 binary64))))))))))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)
(+.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 (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 (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)))))
(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)))))
(+.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))))))))))
(*.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))))))
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y
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z
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z
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y
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y
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(*.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 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))))) (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))))) #s(literal 4 binary64)))
(*.f64 (*.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))) (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))) #s(literal 1/6 binary64))) (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))) #s(literal 1/6 binary64)))
(*.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)))))
(sqrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.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)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.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)))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))) #s(literal 3 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))
(cbrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 3 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 3/2 binary64)) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal 1/3 binary64)))))
(cbrt.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 3 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 3/2 binary64)) (pow.f64 (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)))))
(*.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)))))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))
(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 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))))))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))))
(cbrt.f64 (*.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)))) #s(literal 1 binary64))
(cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))))
(*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/3 binary64))) (cbrt.f64 (hypot.f64 z (hypot.f64 y x))))
(*.f64 (cbrt.f64 (hypot.f64 z (hypot.f64 y x))) (cbrt.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/3 binary64))) (cbrt.f64 (hypot.f64 z (hypot.f64 y x))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))))) (cbrt.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 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))))) (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))))) (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 1/3 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))))) (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))))) (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))))))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))) #s(literal 1/6 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))) #s(literal 1/6 binary64)))
(cbrt.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 1/3 binary64)) (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))))
(cbrt.f64 (*.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 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))))) (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))))))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))) #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 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))))) (cbrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))))))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))) #s(literal 1 binary64))
(cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))))) #s(literal 3 binary64))
(cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))))
(sqrt.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))))))
(cbrt.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 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))))))
(cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))))))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))))))
(cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))))))
(cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))) #s(literal 1/3 binary64)))
(cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))))) #s(literal 1 binary64)))
(cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))) #s(literal 3 binary64))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))
(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 3/2 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))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (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)))
(sqrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.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)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.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)))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))) #s(literal 3 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))
(cbrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 3 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 3/2 binary64)) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal 1/3 binary64)))))
(cbrt.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 3 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 3/2 binary64)) (pow.f64 (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)))))
(*.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)))))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))
(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 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))

eval368.0ms (5.1%)

Compiler

Compiled 37490 to 4460 computations (88.1% saved)

prune193.0ms (2.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New132331326
Fresh000
Picked325
Done011
Total132661332
Accuracy
100.0%
Counts
1332 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶96.7%
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)) #s(literal 3 binary64))
▶98.0%
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
▶98.0%
(/.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))
✓98.0%
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)
✓40.7%
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
Compiler

Compiled 59 to 47 computations (20.3% saved)

simplify15.0ms (0.2%)

Algorithm
1×egg-herbie
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 #s(literal 1/3 binary64))
cost-diff0
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)
✓cost-diff0
(cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))
✓cost-diff12864
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)) #s(literal 3 binary64))
✓cost-diff-128
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
cost-diff0
(sqrt.f64 #s(literal 3 binary64))
cost-diff0
(sqrt.f64 #s(literal 3 binary64))
✓cost-diff0
(/.f64 (sqrt.f64 #s(literal 3 binary64)) z)
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 3 binary64)) z))
Rules
7×associate-*r*
5×*-lft-identity
5×associate-*l*
4×*-rgt-identity
3×1-exp
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
017132
128132
231120
334120
450120
558120
658120
759120
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 3 binary64)) z))
#s(literal 1 binary64)
(/.f64 (sqrt.f64 #s(literal 3 binary64)) z)
(sqrt.f64 #s(literal 3 binary64))
#s(literal 3 binary64)
z
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
z
(sqrt.f64 #s(literal 3 binary64))
#s(literal 3 binary64)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)) #s(literal 3 binary64))
(cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)
(sqrt.f64 #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
z
#s(literal 3 binary64)
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 3 binary64)) z))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))) z)
(*.f64 z (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
#s(literal 1 binary64)
(/.f64 (sqrt.f64 #s(literal 3 binary64)) z)
(sqrt.f64 #s(literal 3 binary64))
#s(literal 3 binary64)
z
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))) z)
(*.f64 z (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))
z
(sqrt.f64 #s(literal 3 binary64))
#s(literal 3 binary64)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)) #s(literal 3 binary64))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))
(cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(sqrt.f64 #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
z
#s(literal 3 binary64)

localize193.0ms (2.6%)

Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(sqrt.f64 #s(literal 1/3 binary64))
accuracy99.4%
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)
✓accuracy99.3%
(cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))
✓accuracy98.9%
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)) #s(literal 3 binary64))
accuracy100.0%
(sqrt.f64 #s(literal 3 binary64))
✓accuracy99.4%
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
accuracy100.0%
(sqrt.f64 #s(literal 3 binary64))
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 3 binary64)) z))
✓accuracy99.5%
(/.f64 (sqrt.f64 #s(literal 3 binary64)) z)
Results
44.0ms256×0valid
Compiler

Compiled 48 to 15 computations (68.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-div: 5.0ms (22.1% of total)
ival-pow: 5.0ms (22.1% of total)
...c/correct-round.rkt:121:19: 4.0ms (17.7% of total)
ival-sqrt: 4.0ms (17.7% of total)
ival-mult: 2.0ms (8.9% of total)
ival-cbrt: 2.0ms (8.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series14.0ms (0.2%)

Counts
5 → 36
Calls
Call 1
Inputs
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 3 binary64)) z))>
#<alt (/.f64 (sqrt.f64 #s(literal 3 binary64)) z)>
#<alt (/.f64 z (sqrt.f64 #s(literal 3 binary64)))>
#<alt (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)) #s(literal 3 binary64))>
#<alt (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))>
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 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 #s(literal -1 binary64) (*.f64 z (*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/3 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/3 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/3 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/3 binary64)))))>
#<alt (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))>
#<alt (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))>
#<alt (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))>
#<alt (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))>
#<alt (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))>
#<alt (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))>
#<alt (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))>
#<alt (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) (cbrt.f64 #s(literal -1 binary64))))>
Calls

15 calls:

TimeVariablePointExpression
3.0ms
z
@inf
(cbrt (* (sqrt 1/3) z))
3.0ms
z
@-inf
(pow (cbrt (* (sqrt 1/3) z)) 3)
2.0ms
z
@0
(cbrt (* (sqrt 1/3) z))
1.0ms
z
@inf
(/ 1 (/ (sqrt 3) z))
1.0ms
z
@0
(/ 1 (/ (sqrt 3) z))

rewrite115.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
718×log1p-expm1-u
718×expm1-log1p-u
425×log-prod
285×pow-prod-down
186×pow2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01774
120874
2219174
Stop Event
1×node limit
Counts
5 → 350
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 3 binary64)) z))
(/.f64 (sqrt.f64 #s(literal 3 binary64)) z)
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)) #s(literal 3 binary64))
(cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))
Outputs
(+.f64 #s(literal 0 binary64) (*.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 (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 z (sqrt.f64 #s(literal 1/3 binary64))))) #s(literal 1 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 z (pow.f64 #s(literal 3 binary64) #s(literal -1/2 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 (exp.f64 #s(literal 1 binary64))))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)
(*.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) z)))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 (cbrt.f64 z) (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (cbrt.f64 #s(literal 1/3 binary64)) (*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/6 binary64)) z))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64))))) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))) (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 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) (sqrt.f64 #s(literal 1/3 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 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/4 binary64)) z))
(*.f64 (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)) (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (sqrt.f64 z) (pow.f64 (*.f64 z #s(literal 1/3 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (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 #s(literal 3 binary64) #s(literal -1/2 binary64)) z)
(*.f64 (sqrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) (sqrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 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) (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 (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)) (cbrt.f64 #s(literal 3 binary64))) (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 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 (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))) (neg.f64 z))
(*.f64 (*.f64 z (cbrt.f64 #s(literal 1/3 binary64))) (pow.f64 #s(literal 1/3 binary64) #s(literal 1/6 binary64)))
(*.f64 (*.f64 z (pow.f64 #s(literal 1/3 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 1/3 binary64) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(*.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z))
(*.f64 (*.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (cbrt.f64 z))
(*.f64 (*.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 (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 (*.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 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 1/6 binary64)))
(*.f64 (*.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) z)
(*.f64 (*.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(*.f64 (*.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z)) #s(literal -2 binary64)) (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z) #s(literal -1 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 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3/2 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))) #s(literal 9 binary64))
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z)) #s(literal -3 binary64))
(pow.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z) #s(literal -3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z) #s(literal 3 binary64)) #s(literal -1/3 binary64))
(pow.f64 (pow.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1/6 binary64)) #s(literal 6 binary64))
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z)) #s(literal -2 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))) #s(literal 1/3 binary64))
(neg.f64 (/.f64 z (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 3 binary64)) z)))
(neg.f64 (/.f64 (neg.f64 z) (sqrt.f64 #s(literal 3 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 z (sqrt.f64 #s(literal 1/3 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z) #s(literal -3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 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)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 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 (*.f64 (log.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) #s(literal 1/3 binary64)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))) #s(literal 1 binary64)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 #s(literal 3 binary64)) z))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 3 binary64)) z))
(*.f64 (sqrt.f64 #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (sqrt.f64 #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z) #s(literal 1 binary64))
(*.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) z))
(*.f64 (cbrt.f64 #s(literal 3 binary64)) (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)) z))
(*.f64 (cbrt.f64 #s(literal 3 binary64)) (*.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z)) (cbrt.f64 (/.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))) (/.f64 (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z)) #s(literal 1 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)) z))
(*.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 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z)) (sqrt.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z)))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z)) (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 #s(literal 3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 3 binary64)) (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 z)))
(*.f64 (/.f64 (cbrt.f64 #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)) z))
(*.f64 (/.f64 (cbrt.f64 #s(literal 3 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z)))
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(*.f64 (*.f64 z (cbrt.f64 #s(literal 1/3 binary64))) (pow.f64 #s(literal 1/3 binary64) #s(literal 1/6 binary64)))
(*.f64 (*.f64 z (pow.f64 #s(literal 1/3 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 1/3 binary64) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(*.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z))
(*.f64 (*.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (cbrt.f64 z))
(*.f64 (*.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 (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 (*.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 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 1/6 binary64)))
(*.f64 (*.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) z)
(*.f64 (*.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(*.f64 (*.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z)) #s(literal -2 binary64)) (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 3 binary64)) z))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) z))
(/.f64 (neg.f64 z) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(/.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) z))
(/.f64 (sqrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) (sqrt.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z)))
(/.f64 (neg.f64 (neg.f64 z)) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 3 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 (/.f64 z #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z)) #s(literal -2 binary64)) (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z)))
(/.f64 (/.f64 z (cbrt.f64 #s(literal 3 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))
(neg.f64 (/.f64 z (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 3 binary64)) z)))
(neg.f64 (/.f64 (neg.f64 z) (sqrt.f64 #s(literal 3 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 z (sqrt.f64 #s(literal 1/3 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z) #s(literal -3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 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)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 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 (*.f64 (log.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) #s(literal 1/3 binary64)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))) #s(literal 1 binary64)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))) #s(literal 1 binary64))
(*.f64 #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)))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (cbrt.f64 z))
(*.f64 (cbrt.f64 z) (pow.f64 #s(literal 1/3 binary64) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 z) (cbrt.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))) (cbrt.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (cbrt.f64 (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 (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 1/6 binary64)))
(*.f64 (cbrt.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))) (cbrt.f64 z))
(/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z)))
(/.f64 (cbrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))
(/.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) z)))
(/.f64 (cbrt.f64 (neg.f64 z)) (cbrt.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z) #s(literal -1/3 binary64))
(pow.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal 3/2 binary64))
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z)) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z) #s(literal -3 binary64)) #s(literal 1/9 binary64))
(pow.f64 (pow.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) #s(literal 2/3 binary64))
(sqrt.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64)))))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))))
(exp.f64 (log.f64 (cbrt.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 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.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 1/6 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64)))))) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) #s(literal 1 binary64)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z)) #s(literal -1 binary64)) #s(literal 1/3 binary64)))

simplify301.0ms (4.1%)

Algorithm
1×egg-herbie
Rules
512×fma-define
448×exp-prod
351×times-frac
345×fma-neg
320×cube-prod
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
041521474844555
176312884909959
2208012884909959
3659312884909959
Stop Event
1×node limit
Counts
386 → 225
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 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 #s(literal -1 binary64) (*.f64 z (*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/3 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/3 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/3 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/3 binary64)))))
(cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) (cbrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) (cbrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) (cbrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) (cbrt.f64 #s(literal -1 binary64))))
(+.f64 #s(literal 0 binary64) (*.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 (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 z (sqrt.f64 #s(literal 1/3 binary64))))) #s(literal 1 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 z (pow.f64 #s(literal 3 binary64) #s(literal -1/2 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 (exp.f64 #s(literal 1 binary64))))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)
(*.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) z)))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 (cbrt.f64 z) (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (cbrt.f64 #s(literal 1/3 binary64)) (*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/6 binary64)) z))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64))))) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))) (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 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) (sqrt.f64 #s(literal 1/3 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 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/4 binary64)) z))
(*.f64 (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)) (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (sqrt.f64 z) (pow.f64 (*.f64 z #s(literal 1/3 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (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 #s(literal 3 binary64) #s(literal -1/2 binary64)) z)
(*.f64 (sqrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) (sqrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 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) (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 (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)) (cbrt.f64 #s(literal 3 binary64))) (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 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))))
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(pow.f64 (sqrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) #s(literal 2/3 binary64))
(sqrt.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64)))))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))))
(exp.f64 (log.f64 (cbrt.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 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.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 1/6 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64)))))) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) #s(literal 1 binary64)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z)) #s(literal -1 binary64)) #s(literal 1/3 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 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 #s(literal -1 binary64) (*.f64 z (*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/3 binary64)))))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 z (*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/3 binary64)))))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 z (*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/3 binary64)))))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 z (*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/3 binary64)))))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) (cbrt.f64 #s(literal -1 binary64))))
(neg.f64 (*.f64 (cbrt.f64 #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)))) (neg.f64 (cbrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) (cbrt.f64 #s(literal -1 binary64))))
(neg.f64 (*.f64 (cbrt.f64 #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)))) (neg.f64 (cbrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) (cbrt.f64 #s(literal -1 binary64))))
(neg.f64 (*.f64 (cbrt.f64 #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)))) (neg.f64 (cbrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) (cbrt.f64 #s(literal -1 binary64))))
(neg.f64 (*.f64 (cbrt.f64 #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)))) (neg.f64 (cbrt.f64 #s(literal -1 binary64))))
(+.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 (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 (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 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.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 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 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/2 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 (exp.f64 #s(literal 1 binary64))))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) z)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(*.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (*.f64 (cbrt.f64 z) (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (cbrt.f64 z)) (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (cbrt.f64 z)))
(*.f64 (cbrt.f64 #s(literal 1/3 binary64)) (*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/6 binary64)) z))
(*.f64 (cbrt.f64 #s(literal 1/3 binary64)) (*.f64 z (pow.f64 #s(literal 1/3 binary64) #s(literal 1/6 binary64))))
(*.f64 z (*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (cbrt.f64 #s(literal 1/3 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64))))) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))) (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64))))) (*.f64 (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) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (cbrt.f64 (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 (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) (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) (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 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/4 binary64)) z))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 (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)) (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 3 binary64))))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(*.f64 (sqrt.f64 z) (pow.f64 (*.f64 z #s(literal 1/3 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 z #s(literal 1/3 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 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 (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 (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 (/.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 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) (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 z (sqrt.f64 #s(literal 3 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 z (sqrt.f64 #s(literal 3 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 #s(literal 3 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 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 #s(literal 3 binary64))))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) (cbrt.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 z (sqrt.f64 #s(literal 3 binary64)))
(*.f64 (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) (/.f64 (sqrt.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 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) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))) (neg.f64 z))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(*.f64 (*.f64 z (cbrt.f64 #s(literal 1/3 binary64))) (pow.f64 #s(literal 1/3 binary64) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 #s(literal 1/3 binary64)) (*.f64 z (pow.f64 #s(literal 1/3 binary64) #s(literal 1/6 binary64))))
(*.f64 z (*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (cbrt.f64 #s(literal 1/3 binary64))))
(*.f64 (*.f64 z (pow.f64 #s(literal 1/3 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 1/3 binary64) #s(literal 1/4 binary64)))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) z) #s(literal 1/2 binary64)) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 z #s(literal 1/3 binary64))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 #s(literal 1/3 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)))) (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (cbrt.f64 z))
(*.f64 (*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (cbrt.f64 z)) (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (cbrt.f64 z)))
(*.f64 (*.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 (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 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64))))) (*.f64 (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) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (cbrt.f64 (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 (*.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 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 1/6 binary64)))
(*.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (*.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) z)
(*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z)) #s(literal -2 binary64)) (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(*.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z)) #s(literal -2 binary64)))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z) #s(literal -1 binary64))
(/.f64 z (sqrt.f64 #s(literal 3 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 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3/2 binary64))
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(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z)))
(pow.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z) #s(literal -3 binary64)) #s(literal 1/9 binary64))
(pow.f64 (pow.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(pow.f64 (sqrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) #s(literal 2/3 binary64))
(sqrt.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64)))))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))))
(cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))))
(cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))))
(cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))))
(cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))))
(cbrt.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 1/3 binary64)))
(cbrt.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 1 binary64)))
(cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))) #s(literal 3 binary64)))
(cbrt.f64 (*.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 1/6 binary64))) #s(literal 2 binary64)))
(cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64)))))) #s(literal 3/2 binary64)))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal 3/2 binary64))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) #s(literal 1 binary64)) #s(literal 1/3 binary64)))
(cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z)) #s(literal -1 binary64)) #s(literal 1/3 binary64)))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z) #s(literal -1/3 binary64))
(cbrt.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64))))

eval49.0ms (0.7%)

Compiler

Compiled 3007 to 811 computations (73% saved)

prune70.0ms (1%)

Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New3032305
Fresh000
Picked123
Done033
Total3047311
Accuracy
100.0%
Counts
311 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶97.9%
(/.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) z))
✓98.0%
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
✓98.0%
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 3 binary64)) z))
▶97.3%
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))) (neg.f64 z))
✓99.5%
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))
✓98.0%
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)
✓40.7%
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
Compiler

Compiled 70 to 57 computations (18.6% saved)

simplify43.0ms (0.6%)

Algorithm
1×egg-herbie
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal 1 binary64) z)
✓cost-diff0
(pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))
✓cost-diff128
(/.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) z))
cost-diff0
(sqrt.f64 #s(literal 3 binary64))
✓cost-diff0
(neg.f64 (sqrt.f64 #s(literal 3 binary64)))
✓cost-diff64
(/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
✓cost-diff256
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))) (neg.f64 z))
Rules
358×fma-define
96×fma-neg
58×div-sub
55×times-frac
51×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
017117
136101
27693
318593
428793
542493
661793
765393
869093
976293
1094793
11136393
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))) (neg.f64 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)
(neg.f64 z)
z
(/.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) z))
(pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))
#s(literal 3 binary64)
#s(literal -1/2 binary64)
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))) (neg.f64 z))
(/.f64 (neg.f64 z) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.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)
(neg.f64 z)
z
(/.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) z)
(*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)))
(pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))
#s(literal 3 binary64)
#s(literal -1/2 binary64)
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z

localize55.0ms (0.8%)

Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) z)
✓accuracy99.4%
(/.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) z))
✓accuracy100.0%
(neg.f64 (sqrt.f64 #s(literal 3 binary64)))
✓accuracy100.0%
(neg.f64 z)
✓accuracy99.4%
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))) (neg.f64 z))
✓accuracy98.4%
(/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
Results
38.0ms256×0valid
Compiler

Compiled 44 to 15 computations (65.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-div: 6.0ms (28.4% of total)
ival-pow: 6.0ms (28.4% of total)
ival-sqrt: 3.0ms (14.2% of total)
ival-mult: 2.0ms (9.5% of total)
ival-neg: 2.0ms (9.5% of total)
const: 1.0ms (4.7% of total)
backward-pass: 0.0ms (0% of total)

series7.0ms (0.1%)

Counts
7 → 36
Calls
Call 1
Inputs
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))) (neg.f64 z))>
#<alt (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))>
#<alt (neg.f64 (sqrt.f64 #s(literal 3 binary64)))>
#<alt (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) z))>
#<alt (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))>
#<alt (/.f64 #s(literal 1 binary64) z)>
#<alt (neg.f64 z)>
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 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 #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

12 calls:

TimeVariablePointExpression
0.0ms
z
@-inf
(/ 1 z)
0.0ms
z
@0
(/ 1 z)
0.0ms
z
@0
(* (/ 1 (neg (sqrt 3))) (neg z))
0.0ms
z
@0
(/ (pow 3 -1/2) (/ 1 z))
0.0ms
z
@inf
(* (/ 1 (neg (sqrt 3))) (neg z))

rewrite55.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
94×log1p-expm1-u
94×add-cube-cbrt
94×expm1-log1p-u
93×add-exp-log
93×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
017101
1224101
23152101
Stop Event
1×unsound
Counts
7 → 265
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))) (neg.f64 z))
(/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(neg.f64 (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) z))
(pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) z)
(neg.f64 z)
Outputs
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 3 binary64)) z))
(/.f64 (sqrt.f64 #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) z))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 #s(literal 3 binary64)))))
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 z #s(literal -1/2 binary64))) (pow.f64 z #s(literal -1/2 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 (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 z #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 z)))
(/.f64 (/.f64 z (cbrt.f64 #s(literal 3 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 3 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))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 #s(literal 3 binary64))) #s(literal -1 binary64))
(neg.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 1/3 binary64))) z))
(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 (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 (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 (/.f64 #s(literal 1 binary64) 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 (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 (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 (cbrt.f64 #s(literal 1/3 binary64)) (neg.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/3 binary64)))))
(*.f64 (cbrt.f64 #s(literal 1/3 binary64)) (/.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/3 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)) (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/4 binary64)) #s(literal 1 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 (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)))
(*.f64 (neg.f64 (cbrt.f64 #s(literal 1/3 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 1/3 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)))
(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 (pow.f64 #s(literal 3 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 #s(literal 9 binary64) #s(literal -1/4 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) (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))
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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)))
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simplify136.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
895×fma-define
560×fma-neg
364×associate-/r/
286×exp-prod
275×associate-/l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03873948
17093818
225873800
367373800
Stop Event
1×node limit
Counts
301 → 262
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 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 #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 (sqrt.f64 #s(literal 1/3 binary64)) z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 3 binary64)) z))
(/.f64 (sqrt.f64 #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) z))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 #s(literal 3 binary64)))))
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 z #s(literal -1/2 binary64))) (pow.f64 z #s(literal -1/2 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 (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 z #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 z)))
(/.f64 (/.f64 z (cbrt.f64 #s(literal 3 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 3 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))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 #s(literal 3 binary64))) #s(literal -1 binary64))
(neg.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 1/3 binary64))) z))
(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 (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 (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 (/.f64 #s(literal 1 binary64) 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 (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 (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 (cbrt.f64 #s(literal 1/3 binary64)) (neg.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/3 binary64)))))
(*.f64 (cbrt.f64 #s(literal 1/3 binary64)) (/.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/3 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)) (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/4 binary64)) #s(literal 1 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 (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)))
(*.f64 (neg.f64 (cbrt.f64 #s(literal 1/3 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 1/3 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)))
(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 (pow.f64 #s(literal 3 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 #s(literal 9 binary64) #s(literal -1/4 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) (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 #s(literal 3 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))
(*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))
(*.f64 (cbrt.f64 #s(literal 1/3 binary64)) (/.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (cbrt.f64 #s(literal 1/3 binary64)) (*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/3 binary64))) z))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)) (cbrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/3 binary64))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/3 binary64))) (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)))
(*.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) (sqrt.f64 #s(literal 1/3 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)) (/.f64 #s(literal 1 binary64) z)))
(*.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)) (*.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/4 binary64)) z))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)) (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)))
(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 z #s(literal -2 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 z))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (/.f64 (cbrt.f64 #s(literal 1/3 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (cbrt.f64 #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 z #s(literal -2 binary64)))) (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)))
(*.f64 (/.f64 (cbrt.f64 #s(literal 1/3 binary64)) (pow.f64 z #s(literal -1/2 binary64))) (/.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/4 binary64)) (cbrt.f64 (pow.f64 z #s(literal -2 binary64)))) (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 z))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) (/.f64 z (cbrt.f64 (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 (/.f64 #s(literal -1 binary64) (cbrt.f64 #s(literal 3 binary64))) (/.f64 z (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 z (pow.f64 #s(literal 3 binary64) #s(literal 1/4 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)) #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)) (cbrt.f64 #s(literal 3 binary64))) (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)))
(*.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) (cbrt.f64 (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal -1 binary64)) z)
(*.f64 (*.f64 z (cbrt.f64 #s(literal 1/3 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 1/3 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 (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 3 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))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 #s(literal 3 binary64))) #s(literal -1 binary64))
(neg.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 1/3 binary64))) z))
(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 (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 (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 (/.f64 #s(literal 1 binary64) 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 (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 (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 (cbrt.f64 #s(literal 1/3 binary64)) (neg.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/3 binary64)))))
(*.f64 (cbrt.f64 #s(literal 1/3 binary64)) (/.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/3 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)) (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/4 binary64)) #s(literal 1 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 (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)))
(*.f64 (neg.f64 (cbrt.f64 #s(literal 1/3 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 1/3 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 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))
(/.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 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)))
(/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 3 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) (/.f64 #s(literal 1 binary64) z))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 z)) (cbrt.f64 (pow.f64 z #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 z)))
(*.f64 (cbrt.f64 (pow.f64 z #s(literal -2 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 z))))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (neg.f64 (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 z) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)))
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 z #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 z)))
(*.f64 (neg.f64 (pow.f64 z #s(literal -1/2 binary64))) (pow.f64 z #s(literal -1/2 binary64)))
(pow.f64 z #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal 1 binary64) z))
(sqrt.f64 (pow.f64 z #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) z))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal 1 binary64) z))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) z)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) z)))
(exp.f64 (neg.f64 (log.f64 z)))
(exp.f64 (*.f64 (log.f64 z) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 z)) #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 #s(literal 1 binary64) z)
(*.f64 z #s(literal 1 binary64))
(*.f64 z #s(literal -1 binary64))
(*.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))
(/.f64 z #s(literal 1 binary64))
(/.f64 z #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) z))
(/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 z #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 z)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64))) (pow.f64 z #s(literal -1/2 binary64)))
(/.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 (/.f64 #s(literal 1 binary64) 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)))
(exp.f64 (neg.f64 (neg.f64 (log.f64 z))))
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 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 #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 (sqrt.f64 #s(literal 1/3 binary64)) z))
(*.f64 z (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(neg.f64 (*.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))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))
(*.f64 z (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(neg.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 #s(literal 3 binary64))))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 3 binary64)) z))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (sqrt.f64 #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) z))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) #s(literal 1 binary64))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 #s(literal 3 binary64)))))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 z #s(literal -1/2 binary64))) (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 z (sqrt.f64 #s(literal 1/3 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 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 z #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 z)))
(*.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 z #s(literal -2 binary64)))) #s(literal 1 binary64)) (cbrt.f64 z))
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (cbrt.f64 z)) (cbrt.f64 (pow.f64 z #s(literal -2 binary64))))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (/.f64 (cbrt.f64 z) (cbrt.f64 (pow.f64 z #s(literal -2 binary64)))))
(/.f64 (/.f64 z (cbrt.f64 #s(literal 3 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 3 binary64))))
(/.f64 z (*.f64 (cbrt.f64 #s(literal 3 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 3 binary64)))))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) #s(literal 1 binary64))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)) #s(literal 3 binary64))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)) #s(literal 2 binary64))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 #s(literal 3 binary64))) #s(literal -1 binary64))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(neg.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))
(*.f64 z (neg.f64 (sqrt.f64 #s(literal 1/3 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)))
(sqrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 1/3 binary64))) z))
(*.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))))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) #s(literal 3 binary64)))
(*.f64 z (sqrt.f64 #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))))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1/3 binary64))))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(cbrt.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1/3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))))
(cbrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)) #s(literal 1 binary64)))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/3 binary64)))
(neg.f64 (sqrt.f64 #s(literal 1/3 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 #s(literal 1/3 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(+.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 0 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/3 binary64)))
(sqrt.f64 #s(literal 1/3 binary64))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1 binary64))
(sqrt.f64 #s(literal 1/3 binary64))
(*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/3 binary64)))
(neg.f64 (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 (cbrt.f64 (sqrt.f64 #s(literal 1/3 binary64))) (cbrt.f64 #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 #s(literal 1/3 binary64)) (neg.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/3 binary64)))))
(*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/3 binary64))) (neg.f64 (cbrt.f64 #s(literal 1/3 binary64))))
(*.f64 (cbrt.f64 #s(literal 1/3 binary64)) (/.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/3 binary64))) (cbrt.f64 #s(literal 1/3 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))
(*.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)))
(pow.f64 #s(literal 3 binary64) #s(literal -1/2 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))))
(neg.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/2 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 (/.f64 #s(literal 1 binary64) (cbrt.f64 (sqrt.f64 #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))))
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(*.f64 (*.f64 z (cbrt.f64 #s(literal 1/3 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 (cbrt.f64 #s(literal 1/3 binary64)) (*.f64 z (cbrt.f64 (sqrt.f64 #s(literal 1/3 binary64)))))
(*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/3 binary64))) (*.f64 z (cbrt.f64 #s(literal 1/3 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 z (sqrt.f64 #s(literal 3 binary64)))
(*.f64 (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 3 binary64))))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) #s(literal 1 binary64))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)) #s(literal 3 binary64))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)) #s(literal 2 binary64))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 #s(literal 3 binary64))) #s(literal -1 binary64))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(neg.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))
(*.f64 z (neg.f64 (sqrt.f64 #s(literal 1/3 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)))
(sqrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 1/3 binary64))) z))
(*.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))))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) #s(literal 3 binary64)))
(*.f64 z (sqrt.f64 #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))))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1/3 binary64))))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(cbrt.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1/3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))))
(cbrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)) #s(literal 1 binary64)))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/3 binary64)))
(neg.f64 (sqrt.f64 #s(literal 1/3 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 #s(literal 1/3 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(+.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 0 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/3 binary64)))
(sqrt.f64 #s(literal 1/3 binary64))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1 binary64))
(sqrt.f64 #s(literal 1/3 binary64))
(*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/3 binary64)))
(neg.f64 (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 (cbrt.f64 (sqrt.f64 #s(literal 1/3 binary64))) (cbrt.f64 #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 #s(literal 1/3 binary64)) (neg.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/3 binary64)))))
(*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/3 binary64))) (neg.f64 (cbrt.f64 #s(literal 1/3 binary64))))
(*.f64 (cbrt.f64 #s(literal 1/3 binary64)) (/.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/3 binary64))) (cbrt.f64 #s(literal 1/3 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))
(*.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)))
(pow.f64 #s(literal 3 binary64) #s(literal -1/2 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))))
(neg.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/2 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 (/.f64 #s(literal 1 binary64) (cbrt.f64 (sqrt.f64 #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 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) (cbrt.f64 (sqrt.f64 #s(literal 3 binary64)))) (cbrt.f64 #s(literal 3 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))
(*.f64 (neg.f64 (cbrt.f64 #s(literal 1/3 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/3 binary64))) (neg.f64 (cbrt.f64 #s(literal 1/3 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)))
(neg.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))
(pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))
(/.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1 binary64))
(sqrt.f64 #s(literal 1/3 binary64))
(/.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal -1 binary64))
(neg.f64 (sqrt.f64 #s(literal 1/3 binary64)))
(/.f64 #s(literal -1 binary64) (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)))
(/.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) (cbrt.f64 (sqrt.f64 #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (sqrt.f64 #s(literal 3 binary64)))) (cbrt.f64 #s(literal 3 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))))
(sqrt.f64 #s(literal 1/3 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 #s(literal 1/3 binary64)))))
(sqrt.f64 #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #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))))
(+.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 0 binary64))
(log1p.f64 (expm1.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(sqrt.f64 #s(literal 1/3 binary64))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(sqrt.f64 #s(literal 1/3 binary64))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -1 binary64)))
(pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1 binary64)))
(sqrt.f64 #s(literal 1/3 binary64))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal -1 binary64) z)
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) z)))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) z))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) z)
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) z)
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal -1 binary64) z)
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 z)) (cbrt.f64 (pow.f64 z #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 z)))
(/.f64 (cbrt.f64 (pow.f64 z #s(literal -2 binary64))) (cbrt.f64 z))
(*.f64 (cbrt.f64 (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 z)))
(/.f64 (cbrt.f64 (pow.f64 z #s(literal -2 binary64))) (cbrt.f64 z))
(*.f64 (cbrt.f64 (pow.f64 z #s(literal -2 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 z))))
(*.f64 (cbrt.f64 (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) (cbrt.f64 z)))
(/.f64 (cbrt.f64 (pow.f64 z #s(literal -2 binary64))) (neg.f64 (cbrt.f64 z)))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 z #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) z)
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (neg.f64 (pow.f64 z #s(literal -1/2 binary64))))
(/.f64 #s(literal -1 binary64) z)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 z) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) z)
(*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) z)
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 z #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 z)))
(*.f64 (cbrt.f64 (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) (cbrt.f64 z)))
(/.f64 (cbrt.f64 (pow.f64 z #s(literal -2 binary64))) (neg.f64 (cbrt.f64 z)))
(*.f64 (neg.f64 (pow.f64 z #s(literal -1/2 binary64))) (pow.f64 z #s(literal -1/2 binary64)))
(/.f64 #s(literal -1 binary64) z)
(pow.f64 z #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) z)
(pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) z)
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 z)) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) z)
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 #s(literal 1 binary64) z)
(pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) z)
(neg.f64 (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal -1 binary64) z)
(sqrt.f64 (pow.f64 z #s(literal -2 binary64)))
(fabs.f64 (/.f64 #s(literal 1 binary64) z))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) z)))
(/.f64 #s(literal 1 binary64) z)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) z))))
(/.f64 #s(literal 1 binary64) z)
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal 1 binary64) z))))
(/.f64 #s(literal -1 binary64) z)
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) z)
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) z)))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) z))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) z)))
(/.f64 #s(literal 1 binary64) z)
(exp.f64 (neg.f64 (log.f64 z)))
(/.f64 #s(literal 1 binary64) z)
(exp.f64 (*.f64 (log.f64 z) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) z)
(exp.f64 (*.f64 (neg.f64 (log.f64 z)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) z)
(+.f64 #s(literal 0 binary64) z)
z
(-.f64 #s(literal 0 binary64) z)
(neg.f64 z)
(-.f64 (exp.f64 (log1p.f64 z)) #s(literal 1 binary64))
z
(*.f64 #s(literal 1 binary64) z)
z
(*.f64 z #s(literal 1 binary64))
z
(*.f64 z #s(literal -1 binary64))
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))
z
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z))
z
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 z)))
(neg.f64 z)
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) #s(literal 1 binary64)))
z
(*.f64 (sqrt.f64 z) (sqrt.f64 z))
z
(*.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z)))
(neg.f64 z)
(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) #s(literal 1 binary64)))
z
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(neg.f64 z)
(*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z))
(neg.f64 z)
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(neg.f64 z)
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (sqrt.f64 z))
(neg.f64 z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
z
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))
z
(/.f64 z #s(literal 1 binary64))
z
(/.f64 z #s(literal -1 binary64))
(neg.f64 z)
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) z))
(neg.f64 z)
(/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 z #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 z)))
(/.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 z))))
(*.f64 (cbrt.f64 z) (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 z #s(literal -2 binary64)))))
(/.f64 (cbrt.f64 z) (cbrt.f64 (pow.f64 z #s(literal -2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64))) (pow.f64 z #s(literal -1/2 binary64)))
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))))
(neg.f64 z)
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 2 binary64))) z)
(neg.f64 z)
(pow.f64 z #s(literal 1 binary64))
z
(pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))
z
(pow.f64 (cbrt.f64 z) #s(literal 3 binary64))
z
(pow.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/3 binary64))
z
(pow.f64 (sqrt.f64 z) #s(literal 2 binary64))
z
(sqrt.f64 (pow.f64 z #s(literal 2 binary64)))
z
(log.f64 (exp.f64 z))
z
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)))
z
(cbrt.f64 (pow.f64 z #s(literal 3 binary64)))
z
(expm1.f64 (log1p.f64 z))
z
(log1p.f64 (expm1.f64 z))
z
(exp.f64 (log.f64 z))
z
(exp.f64 (*.f64 (log.f64 z) #s(literal 1 binary64)))
z
(exp.f64 (neg.f64 (neg.f64 (log.f64 z))))
z

eval33.0ms (0.5%)

Compiler

Compiled 2808 to 708 computations (74.8% saved)

prune183.0ms (2.5%)

Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New2821283
Fresh000
Picked112
Done055
Total2837290
Accuracy
100.0%
Counts
290 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.9%
(/.f64 (sqrt.f64 #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) z))
✓98.0%
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
✓98.0%
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 3 binary64)) z))
✓97.3%
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))) (neg.f64 z))
✓99.5%
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))
✓98.0%
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)
✓40.7%
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
Compiler

Compiled 175 to 100 computations (42.9% saved)

regimes43.0ms (0.6%)

Counts
13 → 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 (sqrt.f64 #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) z))
(/.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))) (neg.f64 z))
(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))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)) #s(literal 3 binary64))
(/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 3 binary64)) (hypot.f64 z (hypot.f64 y x))))
(sqrt.f64 (*.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 1/3 binary64)))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))) #s(literal 3 binary64))
Outputs
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))
Calls

10 calls:

5.0ms
(/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))
5.0ms
(*.f64 y y)
4.0ms
x
4.0ms
z
4.0ms
y
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)

regimes27.0ms (0.4%)

Counts
7 → 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 (sqrt.f64 #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) z))
(/.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))) (neg.f64 z))
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 3 binary64)) z))
Calls

10 calls:

4.0ms
(/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))
3.0ms
x
3.0ms
y
3.0ms
z
3.0ms
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
Results
AccuracySegmentsBranch
98.0%1x
98.0%1y
98.0%1z
98.0%1(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
98.0%1(/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))
98.0%1(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
98.0%1(+.f64 (*.f64 x x) (*.f64 y y))
98.0%1(*.f64 x x)
98.0%1(*.f64 y y)
98.0%1(*.f64 z z)
Compiler

Compiled 87 to 56 computations (35.6% saved)

regimes6.0ms (0.1%)

Accuracy

Total -0.4b remaining (-27.6%)

Threshold costs -0.4b (-27.6%)

Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
Outputs
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)
Calls

3 calls:

3.0ms
z
1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
98.0%1y
98.0%1z
98.0%1x
Compiler

Compiled 12 to 9 computations (25% saved)

simplify3.0ms (0%)

Algorithm
1×egg-herbie
Rules
3×1-exp
2×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01857
12557
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 3 binary64)) z))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)
Outputs
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 3 binary64)) z))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)

soundness687.0ms (9.4%)

Rules
969×times-frac
813×log1p-expm1-u
813×expm1-log1p-u
696×fma-neg
545×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
050617
192573
2184573
3406573
4780573
51218573
61826573
72217573
024300
1319228
24278228
068227387
1161724472
2545524472
Stop Event
1×fuel
1×node limit
1×node limit
1×saturated
Compiler

Compiled 392 to 131 computations (66.6% saved)

preprocess72.0ms (1%)

Compiler

Compiled 286 to 206 computations (28% saved)

end0.0ms (0%)

Profiling

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