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

Time bar (total: 6.2s)

analyze1.0ms (0%)

Memory
2.4MiB live, 2.4MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
100%99.9%0%0.1%0%0%0%4
Compiler

Compiled 16 to 13 computations (18.8% saved)

sample1.6s (25.9%)

Memory
9.0MiB live, 1 392.2MiB allocated
Samples
1.3s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 657.0ms
ival-mult: 275.0ms (41.8% of total)
ival-add: 178.0ms (27.1% of total)
ival-div: 113.0ms (17.2% of total)
ival-sqrt: 78.0ms (11.9% of total)
ival-true: 7.0ms (1.1% of total)
ival-assert: 4.0ms (0.6% of total)
...in/eval/compile.rkt:104:19: 3.0ms (0.5% of total)
Bogosity

preprocess101.0ms (1.6%)

Memory
11.6MiB live, 128.3MiB allocated
Algorithm
egg-herbie
Rules
696×fmm-def
285×fma-define
111×cancel-sign-sub
88×div-sub
75×sub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
050617
192573
2184573
3414573
4788573
51226573
61834573
72225573
Stop Event
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)

explain226.0ms (3.7%)

Memory
-20.4MiB live, 384.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1580-0-(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
00-0-(/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))
00-0-#s(literal 3 binary64)
00-0-z
00-0-(*.f64 x x)
00-0-(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
00-0-(+.f64 (*.f64 x x) (*.f64 y y))
00-0-(*.f64 z z)
00-0-y
00-0-(*.f64 y y)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))oflow-rescue1560
(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))overflow156
(*.f64 y y)overflow44
(*.f64 x x)overflow3
(*.f64 z z)overflow156
(+.f64 (*.f64 x x) (*.f64 y y))overflow44
(/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))overflow156
sqrt.f64(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))uflow-rescue20
(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))underflow2
(*.f64 y y)underflow28
(*.f64 x x)underflow135
(*.f64 z z)underflow2
(+.f64 (*.f64 x x) (*.f64 y y))underflow28
(/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))underflow2
Confusion
Predicted +Predicted -
+1580
-098
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+15800
-0098
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
098
1158
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
113.0ms512×0valid
Compiler

Compiled 154 to 48 computations (68.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 95.0ms
ival-div: 75.0ms (79.1% of total)
ival-mult: 10.0ms (10.6% of total)
ival-add: 4.0ms (4.2% of total)
ival-sqrt: 4.0ms (4.2% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:104:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval1.0ms (0%)

Memory
2.5MiB live, 2.5MiB allocated
Compiler

Compiled 52 to 22 computations (57.7% saved)

prune1.0ms (0%)

Memory
4.9MiB live, 4.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
42.6%
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
42.6%
(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)

simplify15.0ms (0.2%)

Memory
-10.9MiB live, 28.3MiB allocated
Algorithm
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
+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
024418
132410
249410
380410
4124410
5157410
Stop Event
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)

localize104.0ms (1.7%)

Memory
10.4MiB live, 129.7MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 x x)
accuracy100.0%
(+.f64 (*.f64 x x) (*.f64 y y))
accuracy99.9%
(/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))
accuracy42.6%
(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)
accuracy99.8%
(*.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 1/3 binary64))
accuracy42.6%
(sqrt.f64 (*.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 1/3 binary64)))
Samples
83.0ms256×0valid
Compiler

Compiled 105 to 18 computations (82.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 72.0ms
ival-mult: 57.0ms (79.5% of total)
...in/eval/compile.rkt:105:19: 4.0ms (5.6% of total)
ival-add: 4.0ms (5.6% of total)
ival-div: 3.0ms (4.2% of total)
ival-sqrt: 3.0ms (4.2% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:104:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series151.0ms (2.5%)

Memory
3.8MiB live, 81.8MiB allocated
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)))))))))))>
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#<alt (*.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))>
Calls

66 calls:

TimeVariablePointExpression
115.0ms
z
@-inf
(sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3))
3.0ms
y
@0
(* (+ (* y y) (+ (* x x) (* z z))) 1/3)
2.0ms
z
@0
(sqrt (* (+ (* y y) (+ (* x x) (* z z))) 1/3))
2.0ms
y
@0
(sqrt (* (+ (* y y) (+ (* x x) (* z z))) 1/3))
1.0ms
z
@inf
(sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3))

rewrite331.0ms (5.4%)

Memory
-14.9MiB live, 401.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
813×log1p-expm1-u
813×expm1-log1p-u
545×fma-define
277×fmm-def
214×log1p-undefine
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
024300
1319228
24278228
Stop Event
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)))))
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(/.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)))

simplify298.0ms (4.8%)

Memory
21.2MiB live, 419.0MiB allocated
Algorithm
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
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))))))))
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(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(fma.f64 x x (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) x) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 y (sqrt.f64 y)) (sqrt.f64 y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))))) #s(literal 1 binary64))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))) (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))) (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))
(*.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 (hypot.f64 z (hypot.f64 y x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))) (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 3 binary64)) (hypot.f64 z (hypot.f64 y x))))
(/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (sqrt.f64 (neg.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))) (sqrt.f64 #s(literal -3 binary64)))
(/.f64 (neg.f64 (hypot.f64 z (hypot.f64 y x))) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(pow.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))) #s(literal 2 binary64))
(fabs.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))))
(log.f64 (exp.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 x z) #s(literal 2 binary64))))
(+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/3 binary64)) (*.f64 (pow.f64 (hypot.f64 x z) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)) #s(literal 1/3 binary64))
(*.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))) (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) #s(literal 3 binary64)))
(*.f64 (hypot.f64 z (hypot.f64 y x)) (*.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 1/3 binary64)))
(*.f64 (hypot.f64 z (hypot.f64 y x)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))))
(*.f64 (hypot.f64 z (hypot.f64 y x)) (/.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 3 binary64)))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))) (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))))
(*.f64 (neg.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) #s(literal -1/3 binary64))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))) (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))))) (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))) (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))))) (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))))
(*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 1/3 binary64) (hypot.f64 z (hypot.f64 y x))) (hypot.f64 z (hypot.f64 y x)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))) (hypot.f64 z (hypot.f64 y x))) (sqrt.f64 #s(literal 1/3 binary64)))
(pow.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)) #s(literal -3 binary64)))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 x z) #s(literal 2 binary64))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/3 binary64) (*.f64 (pow.f64 (hypot.f64 x z) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
Outputs
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 x z))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 x z)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 y #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x z) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 x z)))
(+.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))))
(fma.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 x z) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x z) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (hypot.f64 x z) #s(literal 2 binary64)) #s(literal 3 binary64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal -1/8 binary64)) (pow.f64 y #s(literal 2 binary64))))) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 x z)))
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(*.f64 (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))) (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 x y)) #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 x y)))) #s(literal 4 binary64)))
(*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))))
(*.f64 #s(literal 1/3 binary64) (+.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 x y)) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/3 binary64) (hypot.f64 z (hypot.f64 y x))) (hypot.f64 z (hypot.f64 y x)))
(*.f64 #s(literal 1/3 binary64) (+.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 x y)) #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))) (hypot.f64 z (hypot.f64 y x))) (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/3 binary64) (+.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 x y)) #s(literal 2 binary64)))
(pow.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1/3 binary64) (+.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 x y)) #s(literal 2 binary64)))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))) #s(literal 2 binary64))
(*.f64 #s(literal 1/3 binary64) (+.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 x y)) #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))) #s(literal 3 binary64))
(*.f64 #s(literal 1/3 binary64) (+.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 x y)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (+.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 x y)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/3 binary64) (+.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 x y)) #s(literal 2 binary64)))
(pow.f64 (/.f64 #s(literal 3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1/3 binary64) (+.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 x y)) #s(literal 2 binary64)))
(neg.f64 (/.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)) #s(literal -3 binary64)))
(*.f64 #s(literal 1/3 binary64) (+.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 x y)) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/3 binary64) (+.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 x y)) #s(literal 2 binary64)))
(log.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))))
(*.f64 #s(literal 1/3 binary64) (+.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 x y)) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))))))
(*.f64 #s(literal 1/3 binary64) (+.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 x y)) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) #s(literal 3 binary64)))
(*.f64 #s(literal 1/3 binary64) (+.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 x y)) #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 x y)) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))))
(*.f64 #s(literal 1/3 binary64) (+.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 x y)) #s(literal 2 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))))
(*.f64 #s(literal 1/3 binary64) (+.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 x y)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/3 binary64) (+.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 x y)) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 x z) #s(literal 2 binary64))))
(*.f64 #s(literal 1/3 binary64) (+.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 x y)) #s(literal 2 binary64)))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/3 binary64) (*.f64 (pow.f64 (hypot.f64 x z) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/3 binary64) (+.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 x y)) #s(literal 2 binary64)))

eval155.0ms (2.5%)

Memory
-27.7MiB live, 87.0MiB allocated
Compiler

Compiled 9 145 to 1 729 computations (81.1% saved)

prune61.0ms (1%)

Memory
15.9MiB live, 137.8MiB allocated
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New4293432
Fresh000
Picked112
Done000
Total4304434
Accuracy
100.0%
Counts
434 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))
99.4%
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))
98.6%
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)
42.6%
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
Compiler

Compiled 44 to 32 computations (27.3% saved)

simplify9.0ms (0.1%)

Memory
15.1MiB live, 15.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 9 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize70.0ms (1.1%)

Memory
-9.4MiB live, 108.4MiB allocated
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(hypot.f64 z (hypot.f64 y x))
accuracy100.0%
(hypot.f64 y x)
accuracy100.0%
(sqrt.f64 #s(literal 3 binary64))
accuracy99.4%
(/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))
accuracy100.0%
(hypot.f64 z y)
accuracy100.0%
(sqrt.f64 #s(literal 1/3 binary64))
accuracy99.4%
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))
accuracy100.0%
(sqrt.f64 #s(literal 1/3 binary64))
accuracy99.4%
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)
Samples
38.0ms256×0valid
Compiler

Compiled 46 to 15 computations (67.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-hypot: 12.0ms (45.5% of total)
ival-sqrt: 5.0ms (19% of total)
...in/eval/compile.rkt:105:19: 4.0ms (15.2% of total)
ival-mult: 3.0ms (11.4% of total)
ival-div: 2.0ms (7.6% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:104:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series33.0ms (0.5%)

Memory
-2.4MiB live, 74.2MiB allocated
Counts
8 → 156
Calls
Call 1
Inputs
#<alt (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)>
#<alt (sqrt.f64 #s(literal 1/3 binary64))>
#<alt (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))>
#<alt (hypot.f64 z y)>
#<alt (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))>
#<alt (hypot.f64 z (hypot.f64 y x))>
#<alt (hypot.f64 y x)>
#<alt (sqrt.f64 #s(literal 3 binary64))>
Outputs
#<alt (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))>
#<alt (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))>
#<alt (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))>
#<alt (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))>
#<alt (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))>
#<alt (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))>
#<alt (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))>
#<alt (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))>
#<alt (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))>
#<alt (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))>
#<alt (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))>
#<alt (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))>
#<alt (*.f64 y (sqrt.f64 #s(literal 1/3 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) y)) (*.f64 y (sqrt.f64 #s(literal 1/3 binary64))))>
#<alt (+.f64 (*.f64 y (sqrt.f64 #s(literal 1/3 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) y)))))>
#<alt (+.f64 (*.f64 y (sqrt.f64 #s(literal 1/3 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) y)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 y #s(literal 5 binary64)))))))))>
#<alt (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))>
#<alt (*.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 2 binary64)))))))))>
#<alt (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) z)) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))>
#<alt (+.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)))))>
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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)))))))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 #s(literal 1/3 binary64))))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 y #s(literal 2 binary64))))))))>
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#<alt y>
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#<alt z>
#<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>
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#<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)))))>
#<alt (+.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)))))>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))>
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#<alt (/.f64 z (sqrt.f64 #s(literal 3 binary64)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 6 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 z (sqrt.f64 #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 6 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))>
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#<alt (/.f64 y (sqrt.f64 #s(literal 3 binary64)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 6 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y (sqrt.f64 #s(literal 3 binary64))))>
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#<alt (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))>
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#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 #s(literal 3 binary64))))>
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#<alt (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
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#<alt z>
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#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))))>
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#<alt (*.f64 #s(literal -1 binary64) z)>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))))>
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#<alt y>
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#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))>
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#<alt (*.f64 #s(literal -1 binary64) y)>
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#<alt (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))>
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#<alt x>
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#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))>
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#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))>
#<alt (+.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (+.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))))>
#<alt y>
#<alt (+.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (+.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))>
#<alt (+.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))))>
Calls

39 calls:

TimeVariablePointExpression
4.0ms
y
@0
(sqrt (+ (* y y) (* x x)))
2.0ms
z
@0
(sqrt (+ (* z z) (* y y)))
1.0ms
z
@0
(sqrt (+ (* z z) (* (sqrt (+ (* y y) (* x x))) (sqrt (+ (* y y) (* x x))))))
1.0ms
z
@0
(* (sqrt 1/3) (sqrt (+ (* z z) (* y y))))
1.0ms
z
@0
(/ (sqrt (+ (* z z) (* (sqrt (+ (* y y) (* x x))) (sqrt (+ (* y y) (* x x)))))) (sqrt 3))

rewrite143.0ms (2.3%)

Memory
15.6MiB live, 97.7MiB allocated
Algorithm
batch-egg-rewrite
Rules
1 019×log1p-expm1-u
1 019×expm1-log1p-u
570×log-prod
204×expm1-undefine
204×log1p-undefine
Iterations

Useful iterations: 0 (0.0ms)

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

simplify197.0ms (3.2%)

Memory
1.3MiB live, 315.3MiB allocated
Algorithm
egg-herbie
Rules
718×fma-define
679×associate-*r*
587×associate-*l*
508×distribute-lft-in
504×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

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

eval78.0ms (1.3%)

Memory
16.8MiB live, 205.7MiB allocated
Compiler

Compiled 13 657 to 2 047 computations (85% saved)

prune99.0ms (1.6%)

Memory
-33.4MiB live, 248.3MiB allocated
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New5943597
Fresh000
Picked123
Done011
Total5956601
Accuracy
100.0%
Counts
601 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))
99.4%
(/.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (cbrt.f64 (sqrt.f64 #s(literal 3 binary64)))) (cbrt.f64 #s(literal 3 binary64)))
98.6%
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
99.4%
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))
98.6%
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)
42.6%
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
Compiler

Compiled 64 to 48 computations (25% saved)

simplify11.0ms (0.2%)

Memory
28.1MiB live, 28.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 9 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
021223
133223
244223
357223
463223
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
z
(sqrt.f64 #s(literal 3 binary64))
#s(literal 3 binary64)
(/.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (cbrt.f64 (sqrt.f64 #s(literal 3 binary64)))) (cbrt.f64 #s(literal 3 binary64)))
(/.f64 (hypot.f64 z (hypot.f64 y x)) (cbrt.f64 (sqrt.f64 #s(literal 3 binary64))))
(hypot.f64 z (hypot.f64 y x))
z
(hypot.f64 y x)
y
x
(cbrt.f64 (sqrt.f64 #s(literal 3 binary64)))
(sqrt.f64 #s(literal 3 binary64))
#s(literal 3 binary64)
(cbrt.f64 #s(literal 3 binary64))
(/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))
(hypot.f64 z y)
z
y
(sqrt.f64 #s(literal 3 binary64))
#s(literal 3 binary64)
Outputs
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
z
(sqrt.f64 #s(literal 3 binary64))
#s(literal 3 binary64)
(/.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (cbrt.f64 (sqrt.f64 #s(literal 3 binary64)))) (cbrt.f64 #s(literal 3 binary64)))
(/.f64 (hypot.f64 z (hypot.f64 y x)) (*.f64 (cbrt.f64 #s(literal 3 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 3 binary64)))))
(/.f64 (hypot.f64 z (hypot.f64 y x)) (*.f64 (cbrt.f64 (sqrt.f64 #s(literal 3 binary64))) (cbrt.f64 #s(literal 3 binary64))))
(/.f64 (hypot.f64 z (hypot.f64 y x)) (cbrt.f64 (sqrt.f64 #s(literal 3 binary64))))
(hypot.f64 z (hypot.f64 y x))
z
(hypot.f64 y x)
y
x
(cbrt.f64 (sqrt.f64 #s(literal 3 binary64)))
(sqrt.f64 #s(literal 3 binary64))
#s(literal 3 binary64)
(cbrt.f64 #s(literal 3 binary64))
(/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))
(hypot.f64 z y)
z
y
(sqrt.f64 #s(literal 3 binary64))
#s(literal 3 binary64)

localize58.0ms (0.9%)

Memory
-10.0MiB live, 146.3MiB allocated
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(hypot.f64 z y)
accuracy100.0%
(sqrt.f64 #s(literal 3 binary64))
accuracy99.4%
(/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))
accuracy100.0%
(cbrt.f64 (sqrt.f64 #s(literal 3 binary64)))
accuracy100.0%
(cbrt.f64 #s(literal 3 binary64))
accuracy99.8%
(/.f64 (hypot.f64 z (hypot.f64 y x)) (cbrt.f64 (sqrt.f64 #s(literal 3 binary64))))
accuracy99.3%
(/.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (cbrt.f64 (sqrt.f64 #s(literal 3 binary64)))) (cbrt.f64 #s(literal 3 binary64)))
accuracy100.0%
(sqrt.f64 #s(literal 3 binary64))
accuracy99.4%
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
Samples
36.0ms256×0valid
Compiler

Compiled 64 to 16 computations (75% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-hypot: 13.0ms (54.2% of total)
ival-div: 6.0ms (25% of total)
ival-cbrt: 3.0ms (12.5% of total)
ival-sqrt: 2.0ms (8.3% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:104:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series35.0ms (0.6%)

Memory
-0.8MiB live, 75.9MiB allocated
Counts
6 → 96
Calls
Call 1
Inputs
#<alt (/.f64 z (sqrt.f64 #s(literal 3 binary64)))>
#<alt (/.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (cbrt.f64 (sqrt.f64 #s(literal 3 binary64)))) (cbrt.f64 #s(literal 3 binary64)))>
#<alt (/.f64 (hypot.f64 z (hypot.f64 y x)) (cbrt.f64 (sqrt.f64 #s(literal 3 binary64))))>
#<alt (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))>
#<alt (cbrt.f64 #s(literal 3 binary64))>
#<alt (cbrt.f64 (sqrt.f64 #s(literal 3 binary64)))>
Outputs
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) (*.f64 (cbrt.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))))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (cbrt.f64 #s(literal 3 binary64))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 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 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) (*.f64 (cbrt.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)))))))>
#<alt (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) (*.f64 (cbrt.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)))))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (cbrt.f64 #s(literal 3 binary64))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 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 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))))))>
#<alt (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) (*.f64 (cbrt.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)))))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 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 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 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)) (cbrt.f64 #s(literal 3 binary64))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 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 (/.f64 z (cbrt.f64 #s(literal 3 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (cbrt.f64 #s(literal 3 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.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)) (cbrt.f64 #s(literal 3 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (cbrt.f64 #s(literal 3 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.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)) (cbrt.f64 #s(literal 3 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (/.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)) (cbrt.f64 #s(literal 3 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (cbrt.f64 #s(literal 3 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 z (cbrt.f64 #s(literal 3 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (cbrt.f64 #s(literal 3 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.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)) (cbrt.f64 #s(literal 3 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (cbrt.f64 #s(literal 3 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.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)) (cbrt.f64 #s(literal 3 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (/.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)) (cbrt.f64 #s(literal 3 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (cbrt.f64 #s(literal 3 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))))))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) (*.f64 (cbrt.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))))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (cbrt.f64 #s(literal 3 binary64))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 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 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) (*.f64 (cbrt.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)))))))>
#<alt (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) (*.f64 (cbrt.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)))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (cbrt.f64 #s(literal 3 binary64))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 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 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 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 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) (*.f64 (cbrt.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)))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 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 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 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)) (cbrt.f64 #s(literal 3 binary64))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 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 (/.f64 y (cbrt.f64 #s(literal 3 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (cbrt.f64 #s(literal 3 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (cbrt.f64 #s(literal 3 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (cbrt.f64 #s(literal 3 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (cbrt.f64 #s(literal 3 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 6 binary64)) (cbrt.f64 #s(literal 3 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (cbrt.f64 #s(literal 3 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y (cbrt.f64 #s(literal 3 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (cbrt.f64 #s(literal 3 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (cbrt.f64 #s(literal 3 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (cbrt.f64 #s(literal 3 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (cbrt.f64 #s(literal 3 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 6 binary64)) (cbrt.f64 #s(literal 3 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (cbrt.f64 #s(literal 3 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))))))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 #s(literal 3 binary64))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 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 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 #s(literal 3 binary64))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 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 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 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 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 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 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 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)) (cbrt.f64 #s(literal 3 binary64))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 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 (/.f64 x (cbrt.f64 #s(literal 3 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 #s(literal 3 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (cbrt.f64 #s(literal 3 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 #s(literal 3 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (cbrt.f64 #s(literal 3 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (cbrt.f64 #s(literal 3 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 #s(literal 3 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 x (cbrt.f64 #s(literal 3 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 #s(literal 3 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (cbrt.f64 #s(literal 3 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 #s(literal 3 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (cbrt.f64 #s(literal 3 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (cbrt.f64 #s(literal 3 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 #s(literal 3 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))))))))>
#<alt (*.f64 (cbrt.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)))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 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 (cbrt.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 (cbrt.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 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (*.f64 (pow.f64 y #s(literal 6 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y (sqrt.f64 #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (*.f64 (pow.f64 y #s(literal 6 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))))))>
Calls

27 calls:

TimeVariablePointExpression
5.0ms
y
@0
(/ (/ (sqrt (+ (* z z) (* (sqrt (+ (* y y) (* x x))) (sqrt (+ (* y y) (* x x)))))) (cbrt (sqrt 3))) (cbrt 3))
3.0ms
y
@0
(/ (sqrt (+ (* z z) (* y y))) (sqrt 3))
2.0ms
z
@0
(/ (/ (sqrt (+ (* z z) (* (sqrt (+ (* y y) (* x x))) (sqrt (+ (* y y) (* x x)))))) (cbrt (sqrt 3))) (cbrt 3))
2.0ms
x
@0
(/ (/ (sqrt (+ (* z z) (* (sqrt (+ (* y y) (* x x))) (sqrt (+ (* y y) (* x x)))))) (cbrt (sqrt 3))) (cbrt 3))
2.0ms
z
@inf
(/ (/ (sqrt (+ (* z z) (* (sqrt (+ (* y y) (* x x))) (sqrt (+ (* y y) (* x x)))))) (cbrt (sqrt 3))) (cbrt 3))

rewrite152.0ms (2.5%)

Memory
16.5MiB live, 98.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
937×log1p-expm1-u
937×expm1-log1p-u
261×prod-diff
247×log1p-undefine
135×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
021133
1291115
23932115
Stop Event
node limit
Counts
6 → 199
Calls
Call 1
Inputs
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (cbrt.f64 (sqrt.f64 #s(literal 3 binary64)))) (cbrt.f64 #s(literal 3 binary64)))
(/.f64 (hypot.f64 z (hypot.f64 y x)) (cbrt.f64 (sqrt.f64 #s(literal 3 binary64))))
(/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))
(cbrt.f64 #s(literal 3 binary64))
(cbrt.f64 (sqrt.f64 #s(literal 3 binary64)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64))))) #s(literal 1 binary64))
(*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)))
(*.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 z (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (cbrt.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64)))) (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64))) (cbrt.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))))
(*.f64 (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 (/.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 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))))
(pow.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z) #s(literal -1 binary64))
(neg.f64 (/.f64 z (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
(neg.f64 (/.f64 (neg.f64 z) (sqrt.f64 #s(literal 3 binary64))))
(sqrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)))
(log.f64 (exp.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))))
(expm1.f64 (log1p.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64)))))
(exp.f64 (log.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64))))) #s(literal 1 binary64))
(*.f64 (hypot.f64 z (hypot.f64 y x)) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)))
(*.f64 (hypot.f64 z (hypot.f64 y x)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))) (cbrt.f64 #s(literal 3 binary64))))
(*.f64 (hypot.f64 z (hypot.f64 y x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64)))))
(*.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))))
(*.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 z (hypot.f64 y x))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (hypot.f64 z (hypot.f64 y x))) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 #s(literal 3 binary64)))) (/.f64 (cbrt.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))) (cbrt.f64 #s(literal 3 binary64))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 #s(literal 3 binary64)))) (*.f64 (cbrt.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64)))))
(*.f64 (cbrt.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)) #s(literal 3 binary64))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)) #s(literal 3 binary64))) (cbrt.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 (sqrt.f64 (hypot.f64 z (hypot.f64 y x))) (/.f64 (sqrt.f64 (hypot.f64 z (hypot.f64 y x))) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (sqrt.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))) (/.f64 (sqrt.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))) (cbrt.f64 #s(literal 3 binary64))))
(*.f64 (sqrt.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))) (*.f64 (sqrt.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64)))))
(*.f64 (sqrt.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (neg.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (cbrt.f64 #s(literal 3 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))) (/.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) (/.f64 (hypot.f64 z (hypot.f64 y x)) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 z (hypot.f64 y x))) #s(literal 2 binary64)) (cbrt.f64 #s(literal 3 binary64))) (cbrt.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 (/.f64 (sqrt.f64 (hypot.f64 z (hypot.f64 y x))) (cbrt.f64 #s(literal 3 binary64))) (/.f64 (sqrt.f64 (hypot.f64 z (hypot.f64 y x))) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))))
(*.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))) (cbrt.f64 #s(literal 3 binary64))))
(*.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (cbrt.f64 (cbrt.f64 #s(literal 9 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))) (cbrt.f64 (cbrt.f64 #s(literal 3 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (cbrt.f64 #s(literal 9 binary64)))) (/.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))) (cbrt.f64 (cbrt.f64 #s(literal 3 binary64)))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 #s(literal 3 binary64)))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))) (cbrt.f64 #s(literal 3 binary64))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 #s(literal 3 binary64)))) (cbrt.f64 (cbrt.f64 #s(literal 9 binary64)))) (cbrt.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 #s(literal 3 binary64)))) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))) (/.f64 (cbrt.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))) (cbrt.f64 #s(literal 3 binary64))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))) (cbrt.f64 (cbrt.f64 #s(literal 9 binary64)))) (/.f64 (sqrt.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))) (cbrt.f64 (cbrt.f64 #s(literal 3 binary64)))))
(pow.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))) #s(literal -1 binary64))
(neg.f64 (/.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))) (neg.f64 (cbrt.f64 #s(literal 3 binary64)))))
(neg.f64 (/.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (neg.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))) (cbrt.f64 #s(literal 3 binary64))))
(sqrt.f64 (/.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)) #s(literal 3 binary64)))
(log.f64 (exp.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))) #s(literal 3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))))
(exp.f64 (log.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))))) #s(literal 1 binary64))
(*.f64 (hypot.f64 z (hypot.f64 y x)) (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))))
(*.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 z (hypot.f64 y x)) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 z (hypot.f64 y x))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 z (hypot.f64 y x))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (hypot.f64 z (hypot.f64 y x))) (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))))
(*.f64 (cbrt.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 #s(literal 3 binary64)))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 #s(literal 3 binary64)))) (cbrt.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))))
(*.f64 (sqrt.f64 (hypot.f64 z (hypot.f64 y x))) (/.f64 (sqrt.f64 (hypot.f64 z (hypot.f64 y x))) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))))
(*.f64 (sqrt.f64 (hypot.f64 z (hypot.f64 y x))) (*.f64 (sqrt.f64 (hypot.f64 z (hypot.f64 y x))) (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))))
(*.f64 (sqrt.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))) (sqrt.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))))
(*.f64 (neg.f64 (hypot.f64 z (hypot.f64 y x))) (/.f64 #s(literal 1 binary64) (neg.f64 (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 1/6 binary64))) (hypot.f64 z (hypot.f64 y x)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (cbrt.f64 #s(literal 3 binary64)))) (/.f64 (hypot.f64 z (hypot.f64 y x)) (cbrt.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1/6 binary64))) (/.f64 (hypot.f64 z (hypot.f64 y x)) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1/6 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 z (hypot.f64 y x))) #s(literal 2 binary64)) #s(literal 1 binary64)) (cbrt.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 z (hypot.f64 y x))) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 #s(literal 3 binary64)))) (cbrt.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 z (hypot.f64 y x))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1/6 binary64))) (/.f64 (cbrt.f64 (hypot.f64 z (hypot.f64 y x))) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1/6 binary64))))
(*.f64 (/.f64 (sqrt.f64 (hypot.f64 z (hypot.f64 y x))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (hypot.f64 z (hypot.f64 y x))) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))))
(*.f64 (/.f64 (sqrt.f64 (hypot.f64 z (hypot.f64 y x))) (cbrt.f64 (cbrt.f64 #s(literal 3 binary64)))) (/.f64 (sqrt.f64 (hypot.f64 z (hypot.f64 y x))) (cbrt.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))))
(pow.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)) (hypot.f64 z (hypot.f64 y x))) #s(literal -1 binary64))
(neg.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (neg.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))))
(sqrt.f64 (/.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 #s(literal 3 binary64))))
(log.f64 (exp.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 3 binary64)) (sqrt.f64 #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))))
(exp.f64 (log.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64))))) #s(literal 1 binary64))
(*.f64 (hypot.f64 z y) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 z y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (hypot.f64 z y)) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 z y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (hypot.f64 z y)) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))))
(*.f64 (cbrt.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) #s(literal 3 binary64))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) #s(literal 3 binary64))) (cbrt.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 (sqrt.f64 (hypot.f64 z y)) (/.f64 (sqrt.f64 (hypot.f64 z y)) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (sqrt.f64 (hypot.f64 z y)) (*.f64 (sqrt.f64 (hypot.f64 z y)) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 (neg.f64 (hypot.f64 z y)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)) (hypot.f64 z y))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) (/.f64 (hypot.f64 z y) (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 (hypot.f64 z y) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 z y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (hypot.f64 z y)) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 z y)) #s(literal 2 binary64)) (cbrt.f64 #s(literal 3 binary64))) (cbrt.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 z y)) #s(literal 2 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) (/.f64 (cbrt.f64 (hypot.f64 z y)) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 (hypot.f64 z y)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (hypot.f64 z y)) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (/.f64 (sqrt.f64 (hypot.f64 z y)) (cbrt.f64 #s(literal 3 binary64))) (/.f64 (sqrt.f64 (hypot.f64 z y)) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))))
(pow.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) (hypot.f64 z y)) #s(literal -1 binary64))
(neg.f64 (/.f64 (hypot.f64 z y) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
(neg.f64 (/.f64 (neg.f64 (hypot.f64 z y)) (sqrt.f64 #s(literal 3 binary64))))
(sqrt.f64 (/.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) #s(literal 3 binary64)))
(log.f64 (exp.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (hypot.f64 z y) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))))
(expm1.f64 (log1p.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))))
(exp.f64 (log.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 #s(literal 3 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 #s(literal 3 binary64))) (cbrt.f64 (cbrt.f64 #s(literal 9 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 #s(literal 3 binary64))) (*.f64 (cbrt.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 #s(literal 9 binary64))) (cbrt.f64 (cbrt.f64 #s(literal 3 binary64))))
(*.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1/6 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1/6 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))))
(*.f64 (*.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)) (cbrt.f64 (cbrt.f64 #s(literal 3 binary64)))) (cbrt.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))))
(pow.f64 #s(literal 3 binary64) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2/3 binary64))
(pow.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 #s(literal 3 binary64))) #s(literal 3 binary64))
(sqrt.f64 (cbrt.f64 #s(literal 9 binary64)))
(log.f64 (exp.f64 (cbrt.f64 #s(literal 3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 #s(literal 3 binary64)))))
(expm1.f64 (log1p.f64 (cbrt.f64 #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (cbrt.f64 #s(literal 3 binary64))))
(exp.f64 (log.f64 (cbrt.f64 #s(literal 3 binary64))))
(exp.f64 (*.f64 (log.f64 #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 #s(literal 3 binary64))) (cbrt.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))))
(*.f64 (cbrt.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))) (cbrt.f64 (cbrt.f64 #s(literal 3 binary64))))
(*.f64 (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1/6 binary64)) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 #s(literal 9 binary64)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 #s(literal 3 binary64)))))
(pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))
(pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 #s(literal 3 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(sqrt.f64 (cbrt.f64 #s(literal 3 binary64)))
(fabs.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))
(log.f64 (exp.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))))
(expm1.f64 (log1p.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))))
(exp.f64 (log.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))

simplify215.0ms (3.5%)

Memory
-34.4MiB live, 303.0MiB allocated
Algorithm
egg-herbie
Rules
681×associate-*r*
597×associate-*l*
552×times-frac
513×fma-define
311×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
08234294986623
122504294985211
Stop Event
node limit
Counts
295 → 513
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) (*.f64 (cbrt.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))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (cbrt.f64 #s(literal 3 binary64))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 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 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) (*.f64 (cbrt.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)))))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) (*.f64 (cbrt.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)))))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (cbrt.f64 #s(literal 3 binary64))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 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 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 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 (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) (*.f64 (cbrt.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)))))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 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 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 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)) (cbrt.f64 #s(literal 3 binary64))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 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))))))))))))
(*.f64 (/.f64 z (cbrt.f64 #s(literal 3 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))
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(exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 #s(literal 3 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 #s(literal 3 binary64))) (cbrt.f64 (cbrt.f64 #s(literal 9 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 #s(literal 3 binary64))) (*.f64 (cbrt.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 #s(literal 9 binary64))) (cbrt.f64 (cbrt.f64 #s(literal 3 binary64))))
(*.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1/6 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1/6 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))))
(*.f64 (*.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)) (cbrt.f64 (cbrt.f64 #s(literal 3 binary64)))) (cbrt.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))))
(pow.f64 #s(literal 3 binary64) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2/3 binary64))
(pow.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 #s(literal 3 binary64))) #s(literal 3 binary64))
(sqrt.f64 (cbrt.f64 #s(literal 9 binary64)))
(log.f64 (exp.f64 (cbrt.f64 #s(literal 3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 #s(literal 3 binary64)))))
(expm1.f64 (log1p.f64 (cbrt.f64 #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (cbrt.f64 #s(literal 3 binary64))))
(exp.f64 (log.f64 (cbrt.f64 #s(literal 3 binary64))))
(exp.f64 (*.f64 (log.f64 #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 #s(literal 3 binary64))) (cbrt.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))))
(*.f64 (cbrt.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))) (cbrt.f64 (cbrt.f64 #s(literal 3 binary64))))
(*.f64 (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1/6 binary64)) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 #s(literal 9 binary64)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 #s(literal 3 binary64)))))
(pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))
(pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 #s(literal 3 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(sqrt.f64 (cbrt.f64 #s(literal 3 binary64)))
(fabs.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))
(log.f64 (exp.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))))
(expm1.f64 (log1p.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))))
(exp.f64 (log.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) (*.f64 (cbrt.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))))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))) (hypot.f64 y x)))
(*.f64 (hypot.f64 x y) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))) (cbrt.f64 #s(literal 3 binary64))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (cbrt.f64 #s(literal 3 binary64))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 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 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) (*.f64 (cbrt.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)))))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (cbrt.f64 #s(literal 3 binary64))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 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 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))) (hypot.f64 y x))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (pow.f64 x #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (cbrt.f64 #s(literal 3 binary64))))) (*.f64 (hypot.f64 x y) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))) (cbrt.f64 #s(literal 3 binary64)))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) (*.f64 (cbrt.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)))))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (cbrt.f64 #s(literal 3 binary64))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 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 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))) (hypot.f64 y x)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (cbrt.f64 #s(literal 3 binary64))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 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 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))))))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (cbrt.f64 #s(literal 3 binary64))))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (cbrt.f64 #s(literal 3 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (pow.f64 x #s(literal 2 binary64))))))) (*.f64 (hypot.f64 x y) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))) (cbrt.f64 #s(literal 3 binary64)))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) (*.f64 (cbrt.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)))))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 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 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 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)) (cbrt.f64 #s(literal 3 binary64))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 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))))))))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))) (hypot.f64 y x)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 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)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 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)) (cbrt.f64 #s(literal 3 binary64))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 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))))))))))))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))) (cbrt.f64 #s(literal 3 binary64)))) (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (cbrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))))) #s(literal 1/16 binary64)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (cbrt.f64 #s(literal 3 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (pow.f64 x #s(literal 2 binary64))))))) (*.f64 (hypot.f64 x y) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))) (cbrt.f64 #s(literal 3 binary64)))))
(*.f64 (/.f64 z (cbrt.f64 #s(literal 3 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))) (/.f64 z (cbrt.f64 #s(literal 3 binary64))))
(*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (cbrt.f64 #s(literal 3 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 (cbrt.f64 #s(literal 3 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))))
(*.f64 z (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 y y (pow.f64 x #s(literal 2 binary64))) (*.f64 (cbrt.f64 #s(literal 3 binary64)) (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))))))
(*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.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)) (cbrt.f64 #s(literal 3 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (cbrt.f64 #s(literal 3 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))))))
(*.f64 z (fma.f64 #s(literal -1/8 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 #s(literal 3 binary64)) (pow.f64 z #s(literal 4 binary64))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 (cbrt.f64 #s(literal 3 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))))))
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(/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (hypot.f64 y z) (sqrt.f64 #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))) #s(literal 1 binary64)))
(/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (hypot.f64 y z) (sqrt.f64 #s(literal 3 binary64)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 #s(literal 3 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (cbrt.f64 #s(literal 3 binary64))))
(*.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))
(cbrt.f64 #s(literal 3 binary64))
(*.f64 (cbrt.f64 #s(literal 3 binary64)) #s(literal 1 binary64))
(cbrt.f64 #s(literal 3 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64)))
(cbrt.f64 #s(literal 3 binary64))
(*.f64 (cbrt.f64 (cbrt.f64 #s(literal 3 binary64))) (cbrt.f64 (cbrt.f64 #s(literal 9 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 #s(literal 9 binary64))) (cbrt.f64 (cbrt.f64 #s(literal 3 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 #s(literal 3 binary64))) (*.f64 (cbrt.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 #s(literal 3 binary64))) (*.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)) (cbrt.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))))
(*.f64 (cbrt.f64 (cbrt.f64 #s(literal 3 binary64))) (pow.f64 (cbrt.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))) #s(literal 4 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 #s(literal 9 binary64))) (cbrt.f64 (cbrt.f64 #s(literal 3 binary64))))
(*.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1/6 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1/6 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))))
(*.f64 (cbrt.f64 (sqrt.f64 #s(literal 3 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (*.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)) (cbrt.f64 (cbrt.f64 #s(literal 3 binary64)))) (cbrt.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 #s(literal 3 binary64))) (*.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)) (cbrt.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))))
(*.f64 (cbrt.f64 (cbrt.f64 #s(literal 3 binary64))) (pow.f64 (cbrt.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))) #s(literal 4 binary64)))
(pow.f64 #s(literal 3 binary64) #s(literal 1/3 binary64))
(cbrt.f64 #s(literal 3 binary64))
(pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2/3 binary64))
(pow.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(cbrt.f64 #s(literal 3 binary64))
(pow.f64 (cbrt.f64 #s(literal 3 binary64)) #s(literal 1 binary64))
(cbrt.f64 #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 #s(literal 3 binary64))) #s(literal 3 binary64))
(cbrt.f64 #s(literal 3 binary64))
(sqrt.f64 (cbrt.f64 #s(literal 9 binary64)))
(log.f64 (exp.f64 (cbrt.f64 #s(literal 3 binary64))))
(cbrt.f64 #s(literal 3 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 #s(literal 3 binary64)))))
(cbrt.f64 #s(literal 3 binary64))
(expm1.f64 (log1p.f64 (cbrt.f64 #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (cbrt.f64 #s(literal 3 binary64))))
(cbrt.f64 #s(literal 3 binary64))
(exp.f64 (log.f64 (cbrt.f64 #s(literal 3 binary64))))
(cbrt.f64 #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(cbrt.f64 #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64)))
(cbrt.f64 #s(literal 3 binary64))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))
(pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))
(*.f64 (cbrt.f64 (cbrt.f64 #s(literal 3 binary64))) (cbrt.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))))
(*.f64 (cbrt.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))) (cbrt.f64 (cbrt.f64 #s(literal 3 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 #s(literal 3 binary64))) (cbrt.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1/6 binary64)) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1/6 binary64)))
(cbrt.f64 (sqrt.f64 #s(literal 3 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))
(pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))
(*.f64 (pow.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) (cbrt.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 #s(literal 9 binary64)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 #s(literal 3 binary64)))))
(pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))
(pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (sqrt.f64 #s(literal 3 binary64)))
(pow.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))
(pow.f64 (cbrt.f64 #s(literal 3 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (cbrt.f64 #s(literal 3 binary64)))
(pow.f64 (cbrt.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))) #s(literal 3 binary64))
(pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(cbrt.f64 (sqrt.f64 #s(literal 3 binary64)))
(sqrt.f64 (cbrt.f64 #s(literal 3 binary64)))
(fabs.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))
(sqrt.f64 (cbrt.f64 #s(literal 3 binary64)))
(log.f64 (exp.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))))
(pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))))
(pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))
(expm1.f64 (log1p.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))))
(pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))
(exp.f64 (log.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))))
(pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(cbrt.f64 (sqrt.f64 #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))

eval206.0ms (3.3%)

Memory
28.8MiB live, 299.3MiB allocated
Compiler

Compiled 22 918 to 3 125 computations (86.4% saved)

prune131.0ms (2.1%)

Memory
-14.9MiB live, 351.8MiB allocated
Pruning

8 alts after pruning (3 fresh and 5 done)

PrunedKeptTotal
New8553858
Fresh000
Picked123
Done033
Total8568864
Accuracy
100.0%
Counts
864 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))
98.5%
(/.f64 (/.f64 z (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))) (cbrt.f64 #s(literal 3 binary64)))
98.6%
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
98.5%
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 3 binary64)) z))
99.4%
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))
98.6%
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)
97.8%
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
42.6%
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
Compiler

Compiled 80 to 64 computations (20% saved)

simplify115.0ms (1.9%)

Memory
-11.6MiB live, 27.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cbrt.f64 #s(literal 3 binary64))
cost-diff0
(pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))
cost-diff0
(/.f64 z (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))
cost-diff0
(/.f64 (/.f64 z (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))) (cbrt.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))
cost-diff0
(neg.f64 (sqrt.f64 #s(literal 3 binary64)))
cost-diff0
(neg.f64 z)
cost-diff64
(/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
cost-diff256
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
Rules
772×fma-define
288×fmm-def
192×div-sub
190×associate-/r*
179×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
020184
140168
280152
3181152
4323152
5672152
61474152
72161152
82301152
92542152
102837152
113439152
123727152
133727152
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
(neg.f64 z)
z
(/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
#s(literal 1 binary64)
(neg.f64 (sqrt.f64 #s(literal 3 binary64)))
(sqrt.f64 #s(literal 3 binary64))
#s(literal 3 binary64)
(/.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 (/.f64 z (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))) (cbrt.f64 #s(literal 3 binary64)))
(/.f64 z (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))
z
(pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))
#s(literal 3 binary64)
#s(literal 1/6 binary64)
(cbrt.f64 #s(literal 3 binary64))
Outputs
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
(neg.f64 (*.f64 z (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))))
(/.f64 (neg.f64 z) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(neg.f64 z)
z
(/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 3 binary64)))
#s(literal 1 binary64)
(neg.f64 (sqrt.f64 #s(literal 3 binary64)))
(sqrt.f64 #s(literal 3 binary64))
#s(literal 3 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 3 binary64)) z))
(neg.f64 (*.f64 z (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))))
(/.f64 (neg.f64 z) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
#s(literal 1 binary64)
(/.f64 (sqrt.f64 #s(literal 3 binary64)) z)
(sqrt.f64 #s(literal 3 binary64))
#s(literal 3 binary64)
z
(/.f64 (/.f64 z (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))) (cbrt.f64 #s(literal 3 binary64)))
(/.f64 z (*.f64 (cbrt.f64 #s(literal 3 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))))
(/.f64 z (*.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)) (cbrt.f64 #s(literal 3 binary64))))
(/.f64 z (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))
z
(pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))
#s(literal 3 binary64)
#s(literal 1/6 binary64)
(cbrt.f64 #s(literal 3 binary64))

localize183.0ms (3%)

Memory
2.0MiB live, 119.8MiB allocated
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))
accuracy100.0%
(cbrt.f64 #s(literal 3 binary64))
accuracy99.9%
(/.f64 z (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))
accuracy99.3%
(/.f64 (/.f64 z (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))) (cbrt.f64 #s(literal 3 binary64)))
accuracy100.0%
(sqrt.f64 #s(literal 3 binary64))
accuracy99.5%
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 3 binary64)) z))
accuracy99.4%
(/.f64 (sqrt.f64 #s(literal 3 binary64)) z)
accuracy100.0%
(neg.f64 (sqrt.f64 #s(literal 3 binary64)))
accuracy100.0%
(neg.f64 z)
accuracy99.4%
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
accuracy98.4%
(/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
Samples
157.0ms256×0valid
Compiler

Compiled 61 to 19 computations (68.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 144.0ms
ival-mult: 121.0ms (83.9% of total)
ival-div: 9.0ms (6.2% of total)
ival-pow: 5.0ms (3.5% of total)
...in/eval/compile.rkt:105:19: 3.0ms (2.1% of total)
ival-cbrt: 2.0ms (1.4% of total)
ival-sqrt: 2.0ms (1.4% of total)
ival-neg: 2.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:104:19: 0.0ms (0% of total)

series59.0ms (1%)

Memory
12.1MiB live, 126.9MiB allocated
Counts
9 → 60
Calls
Call 1
Inputs
#<alt (*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))>
#<alt (neg.f64 z)>
#<alt (neg.f64 (sqrt.f64 #s(literal 3 binary64)))>
#<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 (/.f64 z (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))) (cbrt.f64 #s(literal 3 binary64)))>
#<alt (/.f64 z (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))>
#<alt (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))>
Outputs
#<alt (/.f64 z (sqrt.f64 #s(literal 3 binary64)))>
#<alt (/.f64 z (sqrt.f64 #s(literal 3 binary64)))>
#<alt (/.f64 z (sqrt.f64 #s(literal 3 binary64)))>
#<alt (/.f64 z (sqrt.f64 #s(literal 3 binary64)))>
#<alt (/.f64 z (sqrt.f64 #s(literal 3 binary64)))>
#<alt (/.f64 z (sqrt.f64 #s(literal 3 binary64)))>
#<alt (/.f64 z (sqrt.f64 #s(literal 3 binary64)))>
#<alt (/.f64 z (sqrt.f64 #s(literal 3 binary64)))>
#<alt (/.f64 z (sqrt.f64 #s(literal 3 binary64)))>
#<alt (/.f64 z (sqrt.f64 #s(literal 3 binary64)))>
#<alt (/.f64 z (sqrt.f64 #s(literal 3 binary64)))>
#<alt (/.f64 z (sqrt.f64 #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<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 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 z (cbrt.f64 #s(literal 3 binary64))))>
#<alt (*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 z (cbrt.f64 #s(literal 3 binary64))))>
#<alt (*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 z (cbrt.f64 #s(literal 3 binary64))))>
#<alt (*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 z (cbrt.f64 #s(literal 3 binary64))))>
#<alt (*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 z (cbrt.f64 #s(literal 3 binary64))))>
#<alt (*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 z (cbrt.f64 #s(literal 3 binary64))))>
#<alt (*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 z (cbrt.f64 #s(literal 3 binary64))))>
#<alt (*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 z (cbrt.f64 #s(literal 3 binary64))))>
#<alt (*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 z (cbrt.f64 #s(literal 3 binary64))))>
#<alt (*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 z (cbrt.f64 #s(literal 3 binary64))))>
#<alt (*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 z (cbrt.f64 #s(literal 3 binary64))))>
#<alt (*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 z (cbrt.f64 #s(literal 3 binary64))))>
#<alt (*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/6 binary64)) z)>
#<alt (*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/6 binary64)) z)>
#<alt (*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/6 binary64)) z)>
#<alt (*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/6 binary64)) z)>
#<alt (*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/6 binary64)) z)>
#<alt (*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/6 binary64)) z)>
#<alt (*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/6 binary64)) z)>
#<alt (*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/6 binary64)) z)>
#<alt (*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/6 binary64)) z)>
#<alt (*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/6 binary64)) z)>
#<alt (*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/6 binary64)) z)>
#<alt (*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/6 binary64)) z)>
Calls

18 calls:

TimeVariablePointExpression
39.0ms
z
@0
(/ (/ z (pow 3 1/6)) (cbrt 3))
15.0ms
z
@0
(/ z (pow 3 1/6))
1.0ms
z
@inf
(/ (/ z (pow 3 1/6)) (cbrt 3))
1.0ms
z
@-inf
(/ (/ z (pow 3 1/6)) (cbrt 3))
0.0ms
z
@0
(/ (sqrt 3) z)

rewrite78.0ms (1.3%)

Memory
-7.4MiB live, 111.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
128×log1p-expm1-u
128×expm1-log1p-u
126×add-cube-cbrt
125×add-exp-log
125×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020135
1298135
24441135
Stop Event
unsound
Counts
9 → 420
Calls
Call 1
Inputs
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(neg.f64 z)
(neg.f64 (sqrt.f64 #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 3 binary64)) z))
(/.f64 (sqrt.f64 #s(literal 3 binary64)) z)
(/.f64 (/.f64 z (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))) (cbrt.f64 #s(literal 3 binary64)))
(/.f64 z (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))
(pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))
Outputs
(-.f64 #s(literal 0 binary64) (*.f64 z (sqrt.f64 #s(literal -1/3 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (sqrt.f64 #s(literal -1/3 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 3 binary64))) (*.f64 z (sqrt.f64 #s(literal -1/3 binary64))))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (*.f64 (neg.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))) (cbrt.f64 #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 3 binary64)) z))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)) z) (cbrt.f64 #s(literal 3 binary64))))
(/.f64 (sqrt.f64 #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) z))
(/.f64 (*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64))) (cbrt.f64 #s(literal 3 binary64)))
(/.f64 (*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64))) (neg.f64 (cbrt.f64 #s(literal 3 binary64))))
(/.f64 (*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64))) (neg.f64 (neg.f64 (cbrt.f64 #s(literal 3 binary64)))))
(/.f64 (cbrt.f64 #s(literal 3 binary64)) (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)) z))
(/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 3 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 (/.f64 z (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)))
(/.f64 (/.f64 z #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (/.f64 (*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))
(/.f64 (/.f64 z #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (/.f64 z (cbrt.f64 #s(literal 3 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))
(/.f64 (*.f64 z (cbrt.f64 #s(literal 3 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))
(/.f64 (*.f64 z (cbrt.f64 #s(literal 3 binary64))) (neg.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (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 (/.f64 (*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)) (cbrt.f64 #s(literal 3 binary64)))
(/.f64 (/.f64 (*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64))) (cbrt.f64 (cbrt.f64 #s(literal 9 binary64)))) (cbrt.f64 (cbrt.f64 #s(literal 3 binary64))))
(pow.f64 (*.f64 z (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal -1/3 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 3 binary64)) #s(literal -1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (sqrt.f64 #s(literal -1/3 binary64)))) #s(literal 2 binary64))
(neg.f64 (*.f64 z (sqrt.f64 #s(literal -1/3 binary64))))
(sqrt.f64 (*.f64 #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 z (sqrt.f64 #s(literal -1/3 binary64))) #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 (pow.f64 z #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64))) #s(literal 3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z (sqrt.f64 #s(literal -1/3 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 z (sqrt.f64 #s(literal -1/3 binary64)))))
(exp.f64 (log.f64 (*.f64 z (sqrt.f64 #s(literal -1/3 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 z (sqrt.f64 #s(literal -1/3 binary64)))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1/3 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 #s(literal -1/3 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1/3 binary64)))
(*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 #s(literal 3 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64)))
(*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1/3 binary64)))
(*.f64 (cbrt.f64 #s(literal -1/3 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1/3 binary64))) (sqrt.f64 (sqrt.f64 #s(literal -1/3 binary64))))
(*.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64)) (cbrt.f64 #s(literal -1/3 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))
(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 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal -1/3 binary64)) #s(literal -1/3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64)) #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) z)
(-.f64 #s(literal 0 binary64) z)
(-.f64 (exp.f64 (log1p.f64 z)) #s(literal 1 binary64))
(*.f64 z #s(literal 1 binary64))
(*.f64 z #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 z)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 z) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) #s(literal 1 binary64)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) z))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 2 binary64))) z)
(pow.f64 z #s(literal 1 binary64))
(pow.f64 (cbrt.f64 z) #s(literal 3 binary64))
(pow.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1/3 binary64))
(pow.f64 (sqrt.f64 z) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 z #s(literal 2 binary64)))
(log.f64 (exp.f64 z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)))
(cbrt.f64 (pow.f64 z #s(literal 3 binary64)))
z
(expm1.f64 (log1p.f64 z))
(log1p.f64 (expm1.f64 z))
(exp.f64 (log.f64 z))
(exp.f64 (*.f64 (log.f64 z) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 3 binary64)))
(-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 3 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 #s(literal 3 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))
(*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -1 binary64))
(*.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)) (cbrt.f64 #s(literal 3 binary64)))
(*.f64 (cbrt.f64 #s(literal 3 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 #s(literal 3 binary64)) (neg.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))))
(*.f64 (cbrt.f64 #s(literal 3 binary64)) (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 3 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 #s(literal 9 binary64))) (*.f64 (cbrt.f64 (cbrt.f64 #s(literal 3 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 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 (neg.f64 (cbrt.f64 #s(literal 3 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 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 (cbrt.f64 #s(literal 3 binary64)) (cbrt.f64 (cbrt.f64 #s(literal 3 binary64)))) (cbrt.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))))
(*.f64 (*.f64 (cbrt.f64 #s(literal 3 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 1/12 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 1/12 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 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64))) #s(literal -1/3 binary64))
(pow.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 #s(literal 3 binary64))
(log.f64 (exp.f64 (sqrt.f64 #s(literal 3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 #s(literal 3 binary64)))))
(cbrt.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (sqrt.f64 #s(literal 3 binary64))))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 3 binary64))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 3 binary64)) #s(literal 1/2 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 z (sqrt.f64 #s(literal -1/3 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (sqrt.f64 #s(literal -1/3 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 3 binary64))) (*.f64 z (sqrt.f64 #s(literal -1/3 binary64))))
(*.f64 z (sqrt.f64 #s(literal -1/3 binary64)))
(*.f64 z (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64)) (cbrt.f64 #s(literal 3 binary64))))
(*.f64 z (*.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64)) (cbrt.f64 #s(literal 3 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 z (sqrt.f64 #s(literal -1/3 binary64))))
(*.f64 (sqrt.f64 #s(literal -1/3 binary64)) z)
(*.f64 (sqrt.f64 #s(literal -1/3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))
(*.f64 (*.f64 z (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64))) (cbrt.f64 #s(literal 3 binary64)))
(*.f64 (*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (cbrt.f64 #s(literal 3 binary64)))))
(*.f64 (cbrt.f64 #s(literal 3 binary64)) (*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (sqrt.f64 #s(literal -1/3 binary64))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (cbrt.f64 #s(literal -1/3 binary64)))) (/.f64 (cbrt.f64 (*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64)))) (cbrt.f64 #s(literal 3 binary64))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (cbrt.f64 #s(literal -1/3 binary64)))) (*.f64 (cbrt.f64 (*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64)))) (cbrt.f64 #s(literal 3 binary64))))
(*.f64 (cbrt.f64 #s(literal -1/3 binary64)) (*.f64 z (pow.f64 #s(literal 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 (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 (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 (/.f64 (sqrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal 1/12 binary64))) (/.f64 (/.f64 (sqrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal 1/12 binary64))) (cbrt.f64 #s(literal 3 binary64))))
(*.f64 (/.f64 (sqrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal 1/12 binary64))) (*.f64 (/.f64 (sqrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal 1/12 binary64))) (cbrt.f64 #s(literal 3 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1/3 binary64))) (/.f64 z (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1/3 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)))))
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(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) (sqrt.f64 #s(literal -1/3 binary64))))
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(*.f64 (/.f64 (sqrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal 1/12 binary64))) (*.f64 (/.f64 (sqrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal 1/12 binary64))) (cbrt.f64 #s(literal 3 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1/3 binary64))) (/.f64 z (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))))
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(*.f64 (sqrt.f64 (*.f64 z (sqrt.f64 #s(literal -1/3 binary64)))) (sqrt.f64 (*.f64 z (sqrt.f64 #s(literal -1/3 binary64)))))
(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal -1/3 binary64))))
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(*.f64 (pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z)) #s(literal -1 binary64)))
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(*.f64 (/.f64 z (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) (sqrt.f64 (sqrt.f64 #s(literal -1/3 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) (cbrt.f64 #s(literal 3 binary64))) (/.f64 (sqrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))))
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(*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64)) (cbrt.f64 #s(literal 3 binary64))))
(*.f64 (/.f64 z (cbrt.f64 (cbrt.f64 #s(literal 9 binary64)))) (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64)) (cbrt.f64 (cbrt.f64 #s(literal 3 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (cbrt.f64 #s(literal 9 binary64)))) (/.f64 (*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64))) (cbrt.f64 (cbrt.f64 #s(literal 3 binary64)))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (cbrt.f64 #s(literal -1/3 binary64)))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64)))) (cbrt.f64 #s(literal 3 binary64))))
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(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (cbrt.f64 #s(literal -1/3 binary64)))) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))) (/.f64 (cbrt.f64 (*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64)))) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))))
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(*.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))))
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(*.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 (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (/.f64 z #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/3 binary64)))
(*.f64 (/.f64 z (cbrt.f64 #s(literal 3 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal -1 binary64)) z)
(*.f64 (*.f64 z (cbrt.f64 #s(literal -1/3 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64)))
(*.f64 (*.f64 z (sqrt.f64 (sqrt.f64 #s(literal -1/3 binary64)))) (sqrt.f64 (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 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) (sqrt.f64 z)) (sqrt.f64 z))
(pow.f64 (*.f64 z (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal -1/3 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 3 binary64)) #s(literal -1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (sqrt.f64 #s(literal -1/3 binary64)))) #s(literal 2 binary64))
(neg.f64 (*.f64 z (sqrt.f64 #s(literal -1/3 binary64))))
(sqrt.f64 (*.f64 #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 z (sqrt.f64 #s(literal -1/3 binary64))) #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 (pow.f64 z #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64))) #s(literal 3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z (sqrt.f64 #s(literal -1/3 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 z (sqrt.f64 #s(literal -1/3 binary64)))))
(exp.f64 (log.f64 (*.f64 z (sqrt.f64 #s(literal -1/3 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 z (sqrt.f64 #s(literal -1/3 binary64)))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))) (*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64))))
(*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64)))
(*.f64 z (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))))
(*.f64 z (neg.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64))))
(*.f64 (*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64))))
(*.f64 (cbrt.f64 (*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64)))) (cbrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (cbrt.f64 #s(literal -1/3 binary64)))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (cbrt.f64 #s(literal -1/3 binary64)))) (cbrt.f64 (*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64)))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (cbrt.f64 #s(literal -1/3 binary64)))) (neg.f64 (cbrt.f64 (*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64))))))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal -1/3 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) (neg.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))))
(*.f64 (/.f64 (sqrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal 1/12 binary64))) (/.f64 (sqrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal 1/12 binary64))))
(*.f64 (/.f64 (sqrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal 1/12 binary64))) (neg.f64 (/.f64 (sqrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal 1/12 binary64)))))
(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64))))
(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) (neg.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))))
(*.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64)) z)
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (cbrt.f64 #s(literal 3 binary64)))) (/.f64 z (cbrt.f64 (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 1/12 binary64))) (/.f64 z (pow.f64 #s(literal 3 binary64) #s(literal 1/12 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)) (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal -1/3 binary64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 #s(literal 3 binary64)))) (cbrt.f64 (*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 1/12 binary64))) (/.f64 (cbrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal 1/12 binary64))))
(*.f64 (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))))
(*.f64 (/.f64 (sqrt.f64 z) (cbrt.f64 (cbrt.f64 #s(literal 3 binary64)))) (/.f64 (sqrt.f64 z) (cbrt.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))))
(*.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (cbrt.f64 #s(literal -1/3 binary64))))) (cbrt.f64 (*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64)))))
(*.f64 (neg.f64 (/.f64 (sqrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal 1/12 binary64)))) (/.f64 (sqrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal 1/12 binary64))))
(pow.f64 (*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64))) #s(literal 3 binary64)) #s(literal -1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal 1/12 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)) z) #s(literal -1 binary64))
(neg.f64 (*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64))))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (cbrt.f64 #s(literal -1/3 binary64))))
(log.f64 (pow.f64 (exp.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64))))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (sqrt.f64 #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64)))))
(exp.f64 (log.f64 (*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))) (cbrt.f64 (cbrt.f64 #s(literal 3 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 #s(literal 3 binary64))) (cbrt.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/12 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 1/12 binary64)))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 #s(literal 9 binary64)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 #s(literal 3 binary64)))))
(sqrt.f64 (cbrt.f64 #s(literal 3 binary64)))
(fabs.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))
(log.f64 (exp.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))))
(cbrt.f64 (sqrt.f64 #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))))
(exp.f64 (*.f64 #s(literal 1/6 binary64) (log.f64 #s(literal 3 binary64))))
(exp.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (log.f64 #s(literal 3 binary64))) #s(literal 1 binary64)))

simplify174.0ms (2.8%)

Memory
6.7MiB live, 282.5MiB allocated
Algorithm
egg-herbie
Rules
496×times-frac
436×distribute-rgt-neg-in
428×distribute-lft-neg-in
361×associate-*r*
323×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
059234359748237
1117534359747635
2504534359747469
Stop Event
node limit
Counts
480 → 398
Calls
Call 1
Inputs
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(/.f64 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 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 z (cbrt.f64 #s(literal 3 binary64))))
(*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 z (cbrt.f64 #s(literal 3 binary64))))
(*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 z (cbrt.f64 #s(literal 3 binary64))))
(*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 z (cbrt.f64 #s(literal 3 binary64))))
(*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 z (cbrt.f64 #s(literal 3 binary64))))
(*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 z (cbrt.f64 #s(literal 3 binary64))))
(*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 z (cbrt.f64 #s(literal 3 binary64))))
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(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal -1/3 binary64))))
(*.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64)) (/.f64 (*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z)) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 z) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (/.f64 z (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) (sqrt.f64 (sqrt.f64 #s(literal -1/3 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) (cbrt.f64 #s(literal 3 binary64))) (/.f64 (sqrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))))
(*.f64 (/.f64 z #s(literal 1 binary64)) (sqrt.f64 #s(literal -1/3 binary64)))
(*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64)) (cbrt.f64 #s(literal 3 binary64))))
(*.f64 (/.f64 z (cbrt.f64 (cbrt.f64 #s(literal 9 binary64)))) (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64)) (cbrt.f64 (cbrt.f64 #s(literal 3 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (cbrt.f64 #s(literal 9 binary64)))) (/.f64 (*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64))) (cbrt.f64 (cbrt.f64 #s(literal 3 binary64)))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (cbrt.f64 #s(literal -1/3 binary64)))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64)))) (cbrt.f64 #s(literal 3 binary64))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (cbrt.f64 #s(literal -1/3 binary64)))) (cbrt.f64 (cbrt.f64 #s(literal 9 binary64)))) (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal -1/3 binary64)))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (cbrt.f64 #s(literal -1/3 binary64)))) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))) (/.f64 (cbrt.f64 (*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64)))) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal 1/12 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 (sqrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal 1/12 binary64))) (cbrt.f64 #s(literal 3 binary64))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal 1/12 binary64))) (cbrt.f64 (cbrt.f64 #s(literal 9 binary64)))) (/.f64 (/.f64 (sqrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal 1/12 binary64))) (cbrt.f64 (cbrt.f64 #s(literal 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 (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (/.f64 z #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/3 binary64)))
(*.f64 (/.f64 z (cbrt.f64 #s(literal 3 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal -1 binary64)) z)
(*.f64 (*.f64 z (cbrt.f64 #s(literal -1/3 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64)))
(*.f64 (*.f64 z (sqrt.f64 (sqrt.f64 #s(literal -1/3 binary64)))) (sqrt.f64 (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 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) (sqrt.f64 z)) (sqrt.f64 z))
(pow.f64 (*.f64 z (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal -1/3 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 3 binary64)) #s(literal -1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (sqrt.f64 #s(literal -1/3 binary64)))) #s(literal 2 binary64))
(neg.f64 (*.f64 z (sqrt.f64 #s(literal -1/3 binary64))))
(sqrt.f64 (*.f64 #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 z (sqrt.f64 #s(literal -1/3 binary64))) #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 (pow.f64 z #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64))) #s(literal 3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z (sqrt.f64 #s(literal -1/3 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 z (sqrt.f64 #s(literal -1/3 binary64)))))
(exp.f64 (log.f64 (*.f64 z (sqrt.f64 #s(literal -1/3 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 z (sqrt.f64 #s(literal -1/3 binary64)))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))) (*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64))))
(*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64)))
(*.f64 z (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))))
(*.f64 z (neg.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64))))
(*.f64 (*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64))))
(*.f64 (cbrt.f64 (*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64)))) (cbrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (cbrt.f64 #s(literal -1/3 binary64)))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (cbrt.f64 #s(literal -1/3 binary64)))) (cbrt.f64 (*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64)))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (cbrt.f64 #s(literal -1/3 binary64)))) (neg.f64 (cbrt.f64 (*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64))))))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal -1/3 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) (neg.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))))
(*.f64 (/.f64 (sqrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal 1/12 binary64))) (/.f64 (sqrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal 1/12 binary64))))
(*.f64 (/.f64 (sqrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal 1/12 binary64))) (neg.f64 (/.f64 (sqrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal 1/12 binary64)))))
(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64))))
(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) (neg.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))))
(*.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64)) z)
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (cbrt.f64 #s(literal 3 binary64)))) (/.f64 z (cbrt.f64 (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 1/12 binary64))) (/.f64 z (pow.f64 #s(literal 3 binary64) #s(literal 1/12 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)) (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal -1/3 binary64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 #s(literal 3 binary64)))) (cbrt.f64 (*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 1/12 binary64))) (/.f64 (cbrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal 1/12 binary64))))
(*.f64 (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))))
(*.f64 (/.f64 (sqrt.f64 z) (cbrt.f64 (cbrt.f64 #s(literal 3 binary64)))) (/.f64 (sqrt.f64 z) (cbrt.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))))
(*.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (cbrt.f64 #s(literal -1/3 binary64))))) (cbrt.f64 (*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64)))))
(*.f64 (neg.f64 (/.f64 (sqrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal 1/12 binary64)))) (/.f64 (sqrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal 1/12 binary64))))
(pow.f64 (*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64))) #s(literal 3 binary64)) #s(literal -1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal 1/12 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)) z) #s(literal -1 binary64))
(neg.f64 (*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64))))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (cbrt.f64 #s(literal -1/3 binary64))))
(log.f64 (pow.f64 (exp.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64))))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (sqrt.f64 #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64)))))
(exp.f64 (log.f64 (*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))) (cbrt.f64 (cbrt.f64 #s(literal 3 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 #s(literal 3 binary64))) (cbrt.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/12 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 1/12 binary64)))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 #s(literal 9 binary64)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 #s(literal 3 binary64)))))
(sqrt.f64 (cbrt.f64 #s(literal 3 binary64)))
(fabs.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))
(log.f64 (exp.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))))
(cbrt.f64 (sqrt.f64 #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))))
(exp.f64 (*.f64 #s(literal 1/6 binary64) (log.f64 #s(literal 3 binary64))))
(exp.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (log.f64 #s(literal 3 binary64))) #s(literal 1 binary64)))
Outputs
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(/.f64 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 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 z (cbrt.f64 #s(literal 3 binary64))))
(*.f64 z (/.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (cbrt.f64 #s(literal 3 binary64))))
(*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 z (cbrt.f64 #s(literal 3 binary64))))
(*.f64 z (/.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (cbrt.f64 #s(literal 3 binary64))))
(*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 z (cbrt.f64 #s(literal 3 binary64))))
(*.f64 z (/.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (cbrt.f64 #s(literal 3 binary64))))
(*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 z (cbrt.f64 #s(literal 3 binary64))))
(*.f64 z (/.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (cbrt.f64 #s(literal 3 binary64))))
(*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 z (cbrt.f64 #s(literal 3 binary64))))
(*.f64 z (/.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (cbrt.f64 #s(literal 3 binary64))))
(*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 z (cbrt.f64 #s(literal 3 binary64))))
(*.f64 z (/.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (cbrt.f64 #s(literal 3 binary64))))
(*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 z (cbrt.f64 #s(literal 3 binary64))))
(*.f64 z (/.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (cbrt.f64 #s(literal 3 binary64))))
(*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 z (cbrt.f64 #s(literal 3 binary64))))
(*.f64 z (/.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (cbrt.f64 #s(literal 3 binary64))))
(*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 z (cbrt.f64 #s(literal 3 binary64))))
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(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64))))
(*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64)))
(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) (neg.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))))
(/.f64 z (neg.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64)) z)
(*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (cbrt.f64 #s(literal 3 binary64)))) (/.f64 z (cbrt.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))))
(/.f64 (/.f64 z (cbrt.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))) (cbrt.f64 (cbrt.f64 #s(literal 3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 3 binary64) #s(literal 1/12 binary64))) (/.f64 z (pow.f64 #s(literal 3 binary64) #s(literal 1/12 binary64))))
(pow.f64 (/.f64 (sqrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal 1/12 binary64))) #s(literal 2 binary64))
(/.f64 z (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)) (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 z) #s(literal 2 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 #s(literal 3 binary64)))) (cbrt.f64 (*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64)))))
(*.f64 (cbrt.f64 (*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64)))) (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 #s(literal 3 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64)))) (cbrt.f64 (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 1/12 binary64))) (/.f64 (cbrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal 1/12 binary64))))
(pow.f64 (/.f64 (sqrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal 1/12 binary64))) #s(literal 2 binary64))
(/.f64 z (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))
(*.f64 (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))))
(pow.f64 (/.f64 (sqrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal 1/12 binary64))) #s(literal 2 binary64))
(/.f64 z (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))
(*.f64 (/.f64 (sqrt.f64 z) (cbrt.f64 (cbrt.f64 #s(literal 3 binary64)))) (/.f64 (sqrt.f64 z) (cbrt.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (cbrt.f64 #s(literal 3 binary64)))) (/.f64 z (cbrt.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))))
(/.f64 (/.f64 z (cbrt.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))) (cbrt.f64 (cbrt.f64 #s(literal 3 binary64))))
(*.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (cbrt.f64 #s(literal -1/3 binary64))))) (cbrt.f64 (*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64)))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (cbrt.f64 #s(literal -1/3 binary64)))) (neg.f64 (cbrt.f64 (*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64))))))
(*.f64 (neg.f64 (/.f64 (sqrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal 1/12 binary64)))) (/.f64 (sqrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal 1/12 binary64))))
(/.f64 z (neg.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))))
(pow.f64 (*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64))
(*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64)))
(pow.f64 (cbrt.f64 (*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64)))) #s(literal 3 binary64))
(*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64)))
(pow.f64 (pow.f64 (*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64))) #s(literal 3 binary64)) #s(literal -1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal 1/12 binary64))) #s(literal 2 binary64))
(/.f64 z (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))
(pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)) z) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal 1/12 binary64))) #s(literal 2 binary64))
(/.f64 z (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))
(neg.f64 (*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64))))
(*.f64 z (neg.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64))))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (cbrt.f64 #s(literal -1/3 binary64))))
(log.f64 (pow.f64 (exp.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64))))
(*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64))))))
(*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64)))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64)))))
(*.f64 z (neg.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64))))
(cbrt.f64 (pow.f64 (*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64))) #s(literal 3 binary64)))
(*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64)))
(cbrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (sqrt.f64 #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64)))))
(*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64)))
(exp.f64 (log.f64 (*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64)))))
(*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64)))) #s(literal 1 binary64)))
(*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/6 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))))
(*.f64 #s(literal 1 binary64) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))
(pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))
(*.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))
(*.f64 (cbrt.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))) (cbrt.f64 (cbrt.f64 #s(literal 3 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 #s(literal 3 binary64))) (cbrt.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 #s(literal 3 binary64))) (cbrt.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/12 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 1/12 binary64)))
(pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)) (cbrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 #s(literal 9 binary64)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 #s(literal 3 binary64)))))
(sqrt.f64 (cbrt.f64 #s(literal 3 binary64)))
(fabs.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))
(pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))
(log.f64 (exp.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))))
(pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)))))
(pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))
(cbrt.f64 (sqrt.f64 #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))))
(pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))
(exp.f64 (*.f64 #s(literal 1/6 binary64) (log.f64 #s(literal 3 binary64))))
(pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (log.f64 #s(literal 3 binary64))) #s(literal 1 binary64)))
(pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))

eval56.0ms (0.9%)

Memory
0.0MiB live, 154.0MiB allocated
Compiler

Compiled 5 253 to 1 225 computations (76.7% saved)

prune213.0ms (3.5%)

Memory
4.6MiB live, 203.9MiB allocated
Pruning

8 alts after pruning (0 fresh and 8 done)

PrunedKeptTotal
New4760476
Fresh000
Picked033
Done055
Total4768484
Accuracy
100.0%
Counts
484 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))
98.5%
(/.f64 (/.f64 z (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))) (cbrt.f64 #s(literal 3 binary64)))
98.6%
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
98.5%
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 3 binary64)) z))
99.4%
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))
98.6%
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)
97.8%
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
42.6%
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
Compiler

Compiled 171 to 105 computations (38.6% saved)

regimes46.0ms (0.7%)

Memory
13.0MiB live, 97.9MiB allocated
Counts
11 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 3 binary64)) z))
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))
(/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (/.f64 z (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))) (cbrt.f64 #s(literal 3 binary64)))
(/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))
(sqrt.f64 (*.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 1/3 binary64)))
(/.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (cbrt.f64 (sqrt.f64 #s(literal 3 binary64)))) (cbrt.f64 #s(literal 3 binary64)))
Outputs
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))
Calls

10 calls:

11.0ms
z
4.0ms
y
4.0ms
x
4.0ms
(*.f64 x x)
4.0ms
(*.f64 y y)
Results
AccuracySegmentsBranch
99.4%1x
99.4%1y
99.4%1z
99.4%1(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
99.4%1(/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))
99.4%1(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
99.4%1(+.f64 (*.f64 x x) (*.f64 y y))
99.4%1(*.f64 x x)
99.4%1(*.f64 y y)
99.4%1(*.f64 z z)
Compiler

Compiled 87 to 56 computations (35.6% saved)

regimes25.0ms (0.4%)

Memory
-14.1MiB live, 63.9MiB allocated
Accuracy

Total -36.5b remaining (-4085%)

Threshold costs -36.5b (-4085%)

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

10 calls:

4.0ms
z
3.0ms
(*.f64 y y)
2.0ms
y
2.0ms
x
2.0ms
(+.f64 (*.f64 x x) (*.f64 y y))
Results
AccuracySegmentsBranch
98.6%1x
98.6%1y
98.6%1z
98.6%1(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
98.6%1(/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))
98.6%1(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
98.6%1(+.f64 (*.f64 x x) (*.f64 y y))
98.6%1(*.f64 x x)
98.6%1(*.f64 y y)
98.6%1(*.f64 z z)
Compiler

Compiled 87 to 56 computations (35.6% saved)

simplify2.0ms (0%)

Memory
4.3MiB live, 4.3MiB allocated
Algorithm
egg-herbie
Rules
*-commutative
Iterations

Useful iterations: 0 (0.0ms)

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

soundness552.0ms (9%)

Memory
-17.7MiB live, 554.3MiB allocated
Rules
969×times-frac
696×fmm-def
464×associate-*r*
399×associate-*l*
285×fma-define
Iterations

Useful iterations: 1 (0.0ms)

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

Compiled 170 to 67 computations (60.6% saved)

preprocess178.0ms (2.9%)

Memory
2.3MiB live, 159.1MiB allocated
Compiler

Compiled 202 to 140 computations (30.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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